Processing math: 100%

Identifier
Values
[1] => [1] => [1] => [1] => 0
[1,2] => [2,1] => [1,2] => [1,2] => 0
[2,1] => [1,2] => [2,1] => [2,1] => 0
[1,2,3] => [3,2,1] => [1,2,3] => [1,2,3] => 0
[1,3,2] => [2,3,1] => [2,1,3] => [2,1,3] => 0
[2,1,3] => [3,1,2] => [1,3,2] => [1,3,2] => 0
[2,3,1] => [1,3,2] => [3,1,2] => [3,1,2] => 1
[3,1,2] => [2,1,3] => [2,3,1] => [3,2,1] => 0
[3,2,1] => [1,2,3] => [3,2,1] => [2,3,1] => 0
[1,2,3,4] => [4,3,2,1] => [1,2,3,4] => [1,2,3,4] => 0
[1,2,4,3] => [3,4,2,1] => [2,1,3,4] => [2,1,3,4] => 0
[1,3,2,4] => [4,2,3,1] => [1,3,2,4] => [1,3,2,4] => 0
[1,3,4,2] => [2,4,3,1] => [3,1,2,4] => [3,1,2,4] => 1
[1,4,2,3] => [3,2,4,1] => [2,3,1,4] => [3,2,1,4] => 0
[1,4,3,2] => [2,3,4,1] => [3,2,1,4] => [2,3,1,4] => 0
[2,1,3,4] => [4,3,1,2] => [1,2,4,3] => [1,2,4,3] => 0
[2,1,4,3] => [3,4,1,2] => [2,1,4,3] => [2,1,4,3] => 0
[2,3,1,4] => [4,1,3,2] => [1,4,2,3] => [1,4,2,3] => 1
[2,3,4,1] => [1,4,3,2] => [4,1,2,3] => [4,1,2,3] => 2
[2,4,1,3] => [3,1,4,2] => [2,4,1,3] => [4,2,1,3] => 1
[2,4,3,1] => [1,3,4,2] => [4,2,1,3] => [2,4,1,3] => 1
[3,1,2,4] => [4,2,1,3] => [1,3,4,2] => [1,4,3,2] => 0
[3,1,4,2] => [2,4,1,3] => [3,1,4,2] => [3,4,1,2] => 0
[3,2,1,4] => [4,1,2,3] => [1,4,3,2] => [1,3,4,2] => 0
[3,2,4,1] => [1,4,2,3] => [4,1,3,2] => [4,3,1,2] => 1
[3,4,1,2] => [2,1,4,3] => [3,4,1,2] => [4,1,3,2] => 1
[3,4,2,1] => [1,2,4,3] => [4,3,1,2] => [3,1,4,2] => 1
[4,1,2,3] => [3,2,1,4] => [2,3,4,1] => [4,2,3,1] => 0
[4,1,3,2] => [2,3,1,4] => [3,2,4,1] => [4,3,2,1] => 0
[4,2,1,3] => [3,1,2,4] => [2,4,3,1] => [3,2,4,1] => 0
[4,2,3,1] => [1,3,2,4] => [4,2,3,1] => [3,4,2,1] => 1
[4,3,1,2] => [2,1,3,4] => [3,4,2,1] => [2,4,3,1] => 0
[4,3,2,1] => [1,2,3,4] => [4,3,2,1] => [2,3,4,1] => 0
[1,2,3,4,5] => [5,4,3,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,2,3,5,4] => [4,5,3,2,1] => [2,1,3,4,5] => [2,1,3,4,5] => 0
[1,2,4,3,5] => [5,3,4,2,1] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[1,2,4,5,3] => [3,5,4,2,1] => [3,1,2,4,5] => [3,1,2,4,5] => 1
[1,2,5,3,4] => [4,3,5,2,1] => [2,3,1,4,5] => [3,2,1,4,5] => 0
[1,2,5,4,3] => [3,4,5,2,1] => [3,2,1,4,5] => [2,3,1,4,5] => 0
[1,3,2,4,5] => [5,4,2,3,1] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[1,3,2,5,4] => [4,5,2,3,1] => [2,1,4,3,5] => [2,1,4,3,5] => 0
[1,3,4,2,5] => [5,2,4,3,1] => [1,4,2,3,5] => [1,4,2,3,5] => 1
[1,3,4,5,2] => [2,5,4,3,1] => [4,1,2,3,5] => [4,1,2,3,5] => 2
[1,3,5,2,4] => [4,2,5,3,1] => [2,4,1,3,5] => [4,2,1,3,5] => 1
[1,3,5,4,2] => [2,4,5,3,1] => [4,2,1,3,5] => [2,4,1,3,5] => 1
[1,4,2,3,5] => [5,3,2,4,1] => [1,3,4,2,5] => [1,4,3,2,5] => 0
[1,4,2,5,3] => [3,5,2,4,1] => [3,1,4,2,5] => [3,4,1,2,5] => 0
[1,4,3,2,5] => [5,2,3,4,1] => [1,4,3,2,5] => [1,3,4,2,5] => 0
[1,4,3,5,2] => [2,5,3,4,1] => [4,1,3,2,5] => [4,3,1,2,5] => 1
[1,4,5,2,3] => [3,2,5,4,1] => [3,4,1,2,5] => [4,1,3,2,5] => 1
[1,4,5,3,2] => [2,3,5,4,1] => [4,3,1,2,5] => [3,1,4,2,5] => 1
[1,5,2,3,4] => [4,3,2,5,1] => [2,3,4,1,5] => [4,2,3,1,5] => 0
[1,5,2,4,3] => [3,4,2,5,1] => [3,2,4,1,5] => [4,3,2,1,5] => 0
[1,5,3,2,4] => [4,2,3,5,1] => [2,4,3,1,5] => [3,2,4,1,5] => 0
[1,5,3,4,2] => [2,4,3,5,1] => [4,2,3,1,5] => [3,4,2,1,5] => 1
[1,5,4,2,3] => [3,2,4,5,1] => [3,4,2,1,5] => [2,4,3,1,5] => 0
[1,5,4,3,2] => [2,3,4,5,1] => [4,3,2,1,5] => [2,3,4,1,5] => 0
[2,1,3,4,5] => [5,4,3,1,2] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[2,1,3,5,4] => [4,5,3,1,2] => [2,1,3,5,4] => [2,1,3,5,4] => 0
[2,1,4,3,5] => [5,3,4,1,2] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[2,1,4,5,3] => [3,5,4,1,2] => [3,1,2,5,4] => [3,1,2,5,4] => 1
[2,1,5,3,4] => [4,3,5,1,2] => [2,3,1,5,4] => [3,2,1,5,4] => 0
[2,1,5,4,3] => [3,4,5,1,2] => [3,2,1,5,4] => [2,3,1,5,4] => 0
[2,3,1,4,5] => [5,4,1,3,2] => [1,2,5,3,4] => [1,2,5,3,4] => 1
[2,3,1,5,4] => [4,5,1,3,2] => [2,1,5,3,4] => [2,1,5,3,4] => 1
[2,3,4,1,5] => [5,1,4,3,2] => [1,5,2,3,4] => [1,5,2,3,4] => 2
[2,3,4,5,1] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,2,3,4] => 3
[2,3,5,1,4] => [4,1,5,3,2] => [2,5,1,3,4] => [5,2,1,3,4] => 2
[2,3,5,4,1] => [1,4,5,3,2] => [5,2,1,3,4] => [2,5,1,3,4] => 2
[2,4,1,3,5] => [5,3,1,4,2] => [1,3,5,2,4] => [1,5,3,2,4] => 1
[2,4,1,5,3] => [3,5,1,4,2] => [3,1,5,2,4] => [3,5,1,2,4] => 1
[2,4,3,1,5] => [5,1,3,4,2] => [1,5,3,2,4] => [1,3,5,2,4] => 1
[2,4,3,5,1] => [1,5,3,4,2] => [5,1,3,2,4] => [5,3,1,2,4] => 2
[2,4,5,1,3] => [3,1,5,4,2] => [3,5,1,2,4] => [5,1,3,2,4] => 2
[2,4,5,3,1] => [1,3,5,4,2] => [5,3,1,2,4] => [3,1,5,2,4] => 2
[2,5,1,3,4] => [4,3,1,5,2] => [2,3,5,1,4] => [5,2,3,1,4] => 1
[2,5,1,4,3] => [3,4,1,5,2] => [3,2,5,1,4] => [5,3,2,1,4] => 1
[2,5,3,1,4] => [4,1,3,5,2] => [2,5,3,1,4] => [3,2,5,1,4] => 1
[2,5,3,4,1] => [1,4,3,5,2] => [5,2,3,1,4] => [3,5,2,1,4] => 2
[2,5,4,1,3] => [3,1,4,5,2] => [3,5,2,1,4] => [2,5,3,1,4] => 1
[2,5,4,3,1] => [1,3,4,5,2] => [5,3,2,1,4] => [2,3,5,1,4] => 1
[3,1,2,4,5] => [5,4,2,1,3] => [1,2,4,5,3] => [1,2,5,4,3] => 0
[3,1,2,5,4] => [4,5,2,1,3] => [2,1,4,5,3] => [2,1,5,4,3] => 0
[3,1,4,2,5] => [5,2,4,1,3] => [1,4,2,5,3] => [1,4,5,2,3] => 0
[3,1,4,5,2] => [2,5,4,1,3] => [4,1,2,5,3] => [4,1,5,2,3] => 1
[3,1,5,2,4] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => 0
[3,1,5,4,2] => [2,4,5,1,3] => [4,2,1,5,3] => [2,4,5,1,3] => 0
[3,2,1,4,5] => [5,4,1,2,3] => [1,2,5,4,3] => [1,2,4,5,3] => 0
[3,2,1,5,4] => [4,5,1,2,3] => [2,1,5,4,3] => [2,1,4,5,3] => 0
[3,2,4,1,5] => [5,1,4,2,3] => [1,5,2,4,3] => [1,5,4,2,3] => 1
[3,2,4,5,1] => [1,5,4,2,3] => [5,1,2,4,3] => [5,1,4,2,3] => 2
[3,2,5,1,4] => [4,1,5,2,3] => [2,5,1,4,3] => [5,2,4,1,3] => 1
[3,2,5,4,1] => [1,4,5,2,3] => [5,2,1,4,3] => [2,5,4,1,3] => 1
[3,4,1,2,5] => [5,2,1,4,3] => [1,4,5,2,3] => [1,5,2,4,3] => 1
[3,4,1,5,2] => [2,5,1,4,3] => [4,1,5,2,3] => [4,5,2,1,3] => 1
[3,4,2,1,5] => [5,1,2,4,3] => [1,5,4,2,3] => [1,4,2,5,3] => 1
[3,4,2,5,1] => [1,5,2,4,3] => [5,1,4,2,3] => [5,4,2,1,3] => 2
[3,4,5,1,2] => [2,1,5,4,3] => [4,5,1,2,3] => [5,1,2,4,3] => 2
[3,4,5,2,1] => [1,2,5,4,3] => [5,4,1,2,3] => [4,1,2,5,3] => 2
[3,5,1,2,4] => [4,2,1,5,3] => [2,4,5,1,3] => [5,2,1,4,3] => 1
[3,5,1,4,2] => [2,4,1,5,3] => [4,2,5,1,3] => [5,4,1,2,3] => 1
>>> Load all 873 entries. <<<
[3,5,2,1,4] => [4,1,2,5,3] => [2,5,4,1,3] => [4,2,1,5,3] => 1
[3,5,2,4,1] => [1,4,2,5,3] => [5,2,4,1,3] => [4,5,1,2,3] => 2
[3,5,4,1,2] => [2,1,4,5,3] => [4,5,2,1,3] => [2,5,1,4,3] => 1
[3,5,4,2,1] => [1,2,4,5,3] => [5,4,2,1,3] => [2,4,1,5,3] => 1
[4,1,2,3,5] => [5,3,2,1,4] => [1,3,4,5,2] => [1,5,3,4,2] => 0
[4,1,2,5,3] => [3,5,2,1,4] => [3,1,4,5,2] => [3,5,1,4,2] => 0
[4,1,3,2,5] => [5,2,3,1,4] => [1,4,3,5,2] => [1,5,4,3,2] => 0
[4,1,3,5,2] => [2,5,3,1,4] => [4,1,3,5,2] => [4,5,1,3,2] => 1
[4,1,5,2,3] => [3,2,5,1,4] => [3,4,1,5,2] => [4,5,3,1,2] => 0
[4,1,5,3,2] => [2,3,5,1,4] => [4,3,1,5,2] => [3,4,5,2,1] => 0
[4,2,1,3,5] => [5,3,1,2,4] => [1,3,5,4,2] => [1,4,3,5,2] => 0
[4,2,1,5,3] => [3,5,1,2,4] => [3,1,5,4,2] => [3,4,1,5,2] => 0
[4,2,3,1,5] => [5,1,3,2,4] => [1,5,3,4,2] => [1,4,5,3,2] => 1
[4,2,3,5,1] => [1,5,3,2,4] => [5,1,3,4,2] => [5,4,1,3,2] => 2
[4,2,5,1,3] => [3,1,5,2,4] => [3,5,1,4,2] => [5,4,3,1,2] => 1
[4,2,5,3,1] => [1,3,5,2,4] => [5,3,1,4,2] => [3,5,4,2,1] => 1
[4,3,1,2,5] => [5,2,1,3,4] => [1,4,5,3,2] => [1,3,5,4,2] => 0
[4,3,1,5,2] => [2,5,1,3,4] => [4,1,5,3,2] => [4,3,5,1,2] => 0
[4,3,2,1,5] => [5,1,2,3,4] => [1,5,4,3,2] => [1,3,4,5,2] => 0
[4,3,2,5,1] => [1,5,2,3,4] => [5,1,4,3,2] => [5,3,4,1,2] => 1
[4,3,5,1,2] => [2,1,5,3,4] => [4,5,1,3,2] => [5,3,1,4,2] => 1
[4,3,5,2,1] => [1,2,5,3,4] => [5,4,1,3,2] => [4,3,1,5,2] => 1
[4,5,1,2,3] => [3,2,1,5,4] => [3,4,5,1,2] => [5,1,3,4,2] => 1
[4,5,1,3,2] => [2,3,1,5,4] => [4,3,5,1,2] => [5,1,4,3,2] => 1
[4,5,2,1,3] => [3,1,2,5,4] => [3,5,4,1,2] => [4,1,3,5,2] => 1
[4,5,2,3,1] => [1,3,2,5,4] => [5,3,4,1,2] => [4,1,5,3,2] => 2
[4,5,3,1,2] => [2,1,3,5,4] => [4,5,3,1,2] => [3,1,5,4,2] => 1
[4,5,3,2,1] => [1,2,3,5,4] => [5,4,3,1,2] => [3,1,4,5,2] => 1
[5,1,2,3,4] => [4,3,2,1,5] => [2,3,4,5,1] => [5,2,3,4,1] => 0
[5,1,2,4,3] => [3,4,2,1,5] => [3,2,4,5,1] => [5,3,2,4,1] => 0
[5,1,3,2,4] => [4,2,3,1,5] => [2,4,3,5,1] => [5,2,4,3,1] => 0
[5,1,3,4,2] => [2,4,3,1,5] => [4,2,3,5,1] => [5,4,2,3,1] => 1
[5,1,4,2,3] => [3,2,4,1,5] => [3,4,2,5,1] => [5,4,3,2,1] => 0
[5,1,4,3,2] => [2,3,4,1,5] => [4,3,2,5,1] => [5,3,4,2,1] => 0
[5,2,1,3,4] => [4,3,1,2,5] => [2,3,5,4,1] => [4,2,3,5,1] => 0
[5,2,1,4,3] => [3,4,1,2,5] => [3,2,5,4,1] => [4,3,2,5,1] => 0
[5,2,3,1,4] => [4,1,3,2,5] => [2,5,3,4,1] => [4,2,5,3,1] => 1
[5,2,3,4,1] => [1,4,3,2,5] => [5,2,3,4,1] => [4,5,2,3,1] => 2
[5,2,4,1,3] => [3,1,4,2,5] => [3,5,2,4,1] => [4,5,3,2,1] => 1
[5,2,4,3,1] => [1,3,4,2,5] => [5,3,2,4,1] => [4,3,5,2,1] => 1
[5,3,1,2,4] => [4,2,1,3,5] => [2,4,5,3,1] => [3,2,5,4,1] => 0
[5,3,1,4,2] => [2,4,1,3,5] => [4,2,5,3,1] => [3,5,4,1,2] => 0
[5,3,2,1,4] => [4,1,2,3,5] => [2,5,4,3,1] => [3,2,4,5,1] => 0
[5,3,2,4,1] => [1,4,2,3,5] => [5,2,4,3,1] => [3,4,5,1,2] => 1
[5,3,4,1,2] => [2,1,4,3,5] => [4,5,2,3,1] => [3,5,2,4,1] => 1
[5,3,4,2,1] => [1,2,4,3,5] => [5,4,2,3,1] => [3,4,2,5,1] => 1
[5,4,1,2,3] => [3,2,1,4,5] => [3,4,5,2,1] => [2,5,3,4,1] => 0
[5,4,1,3,2] => [2,3,1,4,5] => [4,3,5,2,1] => [2,5,4,3,1] => 0
[5,4,2,1,3] => [3,1,2,4,5] => [3,5,4,2,1] => [2,4,3,5,1] => 0
[5,4,2,3,1] => [1,3,2,4,5] => [5,3,4,2,1] => [2,4,5,3,1] => 1
[5,4,3,1,2] => [2,1,3,4,5] => [4,5,3,2,1] => [2,3,5,4,1] => 0
[5,4,3,2,1] => [1,2,3,4,5] => [5,4,3,2,1] => [2,3,4,5,1] => 0
[1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,3,4,6,5] => [5,6,4,3,2,1] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => 0
[1,2,3,5,4,6] => [6,4,5,3,2,1] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => 0
[1,2,3,5,6,4] => [4,6,5,3,2,1] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => 1
[1,2,3,6,4,5] => [5,4,6,3,2,1] => [2,3,1,4,5,6] => [3,2,1,4,5,6] => 0
[1,2,3,6,5,4] => [4,5,6,3,2,1] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => 0
[1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => 0
[1,2,4,3,6,5] => [5,6,3,4,2,1] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => 0
[1,2,4,5,3,6] => [6,3,5,4,2,1] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => 1
[1,2,4,5,6,3] => [3,6,5,4,2,1] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => 2
[1,2,4,6,3,5] => [5,3,6,4,2,1] => [2,4,1,3,5,6] => [4,2,1,3,5,6] => 1
[1,2,4,6,5,3] => [3,5,6,4,2,1] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => 1
[1,2,5,3,4,6] => [6,4,3,5,2,1] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => 0
[1,2,5,3,6,4] => [4,6,3,5,2,1] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => 0
[1,2,5,4,3,6] => [6,3,4,5,2,1] => [1,4,3,2,5,6] => [1,3,4,2,5,6] => 0
[1,2,5,4,6,3] => [3,6,4,5,2,1] => [4,1,3,2,5,6] => [4,3,1,2,5,6] => 1
[1,2,5,6,3,4] => [4,3,6,5,2,1] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => 1
[1,2,5,6,4,3] => [3,4,6,5,2,1] => [4,3,1,2,5,6] => [3,1,4,2,5,6] => 1
[1,2,6,3,4,5] => [5,4,3,6,2,1] => [2,3,4,1,5,6] => [4,2,3,1,5,6] => 0
[1,2,6,3,5,4] => [4,5,3,6,2,1] => [3,2,4,1,5,6] => [4,3,2,1,5,6] => 0
[1,2,6,4,3,5] => [5,3,4,6,2,1] => [2,4,3,1,5,6] => [3,2,4,1,5,6] => 0
[1,2,6,4,5,3] => [3,5,4,6,2,1] => [4,2,3,1,5,6] => [3,4,2,1,5,6] => 1
[1,2,6,5,3,4] => [4,3,5,6,2,1] => [3,4,2,1,5,6] => [2,4,3,1,5,6] => 0
[1,2,6,5,4,3] => [3,4,5,6,2,1] => [4,3,2,1,5,6] => [2,3,4,1,5,6] => 0
[1,3,2,4,5,6] => [6,5,4,2,3,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => 0
[1,3,2,4,6,5] => [5,6,4,2,3,1] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => 0
[1,3,2,5,4,6] => [6,4,5,2,3,1] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => 0
[1,3,2,5,6,4] => [4,6,5,2,3,1] => [3,1,2,5,4,6] => [3,1,2,5,4,6] => 1
[1,3,2,6,4,5] => [5,4,6,2,3,1] => [2,3,1,5,4,6] => [3,2,1,5,4,6] => 0
[1,3,2,6,5,4] => [4,5,6,2,3,1] => [3,2,1,5,4,6] => [2,3,1,5,4,6] => 0
[1,3,4,2,5,6] => [6,5,2,4,3,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => 1
[1,3,4,2,6,5] => [5,6,2,4,3,1] => [2,1,5,3,4,6] => [2,1,5,3,4,6] => 1
[1,3,4,5,2,6] => [6,2,5,4,3,1] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => 2
[1,3,4,5,6,2] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => 3
[1,3,4,6,2,5] => [5,2,6,4,3,1] => [2,5,1,3,4,6] => [5,2,1,3,4,6] => 2
[1,3,4,6,5,2] => [2,5,6,4,3,1] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => 2
[1,3,5,2,4,6] => [6,4,2,5,3,1] => [1,3,5,2,4,6] => [1,5,3,2,4,6] => 1
[1,3,5,2,6,4] => [4,6,2,5,3,1] => [3,1,5,2,4,6] => [3,5,1,2,4,6] => 1
[1,3,5,4,2,6] => [6,2,4,5,3,1] => [1,5,3,2,4,6] => [1,3,5,2,4,6] => 1
[1,3,5,4,6,2] => [2,6,4,5,3,1] => [5,1,3,2,4,6] => [5,3,1,2,4,6] => 2
[1,3,5,6,2,4] => [4,2,6,5,3,1] => [3,5,1,2,4,6] => [5,1,3,2,4,6] => 2
[1,3,5,6,4,2] => [2,4,6,5,3,1] => [5,3,1,2,4,6] => [3,1,5,2,4,6] => 2
[1,3,6,2,4,5] => [5,4,2,6,3,1] => [2,3,5,1,4,6] => [5,2,3,1,4,6] => 1
[1,3,6,2,5,4] => [4,5,2,6,3,1] => [3,2,5,1,4,6] => [5,3,2,1,4,6] => 1
[1,3,6,4,2,5] => [5,2,4,6,3,1] => [2,5,3,1,4,6] => [3,2,5,1,4,6] => 1
[1,3,6,4,5,2] => [2,5,4,6,3,1] => [5,2,3,1,4,6] => [3,5,2,1,4,6] => 2
[1,3,6,5,2,4] => [4,2,5,6,3,1] => [3,5,2,1,4,6] => [2,5,3,1,4,6] => 1
[1,3,6,5,4,2] => [2,4,5,6,3,1] => [5,3,2,1,4,6] => [2,3,5,1,4,6] => 1
[1,4,2,3,5,6] => [6,5,3,2,4,1] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => 0
[1,4,2,3,6,5] => [5,6,3,2,4,1] => [2,1,4,5,3,6] => [2,1,5,4,3,6] => 0
[1,4,2,5,3,6] => [6,3,5,2,4,1] => [1,4,2,5,3,6] => [1,4,5,2,3,6] => 0
[1,4,2,5,6,3] => [3,6,5,2,4,1] => [4,1,2,5,3,6] => [4,1,5,2,3,6] => 1
[1,4,2,6,3,5] => [5,3,6,2,4,1] => [2,4,1,5,3,6] => [4,2,5,1,3,6] => 0
[1,4,2,6,5,3] => [3,5,6,2,4,1] => [4,2,1,5,3,6] => [2,4,5,1,3,6] => 0
[1,4,3,2,5,6] => [6,5,2,3,4,1] => [1,2,5,4,3,6] => [1,2,4,5,3,6] => 0
[1,4,3,2,6,5] => [5,6,2,3,4,1] => [2,1,5,4,3,6] => [2,1,4,5,3,6] => 0
[1,4,3,5,2,6] => [6,2,5,3,4,1] => [1,5,2,4,3,6] => [1,5,4,2,3,6] => 1
[1,4,3,5,6,2] => [2,6,5,3,4,1] => [5,1,2,4,3,6] => [5,1,4,2,3,6] => 2
[1,4,3,6,2,5] => [5,2,6,3,4,1] => [2,5,1,4,3,6] => [5,2,4,1,3,6] => 1
[1,4,3,6,5,2] => [2,5,6,3,4,1] => [5,2,1,4,3,6] => [2,5,4,1,3,6] => 1
[1,4,5,2,3,6] => [6,3,2,5,4,1] => [1,4,5,2,3,6] => [1,5,2,4,3,6] => 1
[1,4,5,2,6,3] => [3,6,2,5,4,1] => [4,1,5,2,3,6] => [4,5,2,1,3,6] => 1
[1,4,5,3,2,6] => [6,2,3,5,4,1] => [1,5,4,2,3,6] => [1,4,2,5,3,6] => 1
[1,4,5,3,6,2] => [2,6,3,5,4,1] => [5,1,4,2,3,6] => [5,4,2,1,3,6] => 2
[1,4,5,6,2,3] => [3,2,6,5,4,1] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => 2
[1,4,5,6,3,2] => [2,3,6,5,4,1] => [5,4,1,2,3,6] => [4,1,2,5,3,6] => 2
[1,4,6,2,3,5] => [5,3,2,6,4,1] => [2,4,5,1,3,6] => [5,2,1,4,3,6] => 1
[1,4,6,2,5,3] => [3,5,2,6,4,1] => [4,2,5,1,3,6] => [5,4,1,2,3,6] => 1
[1,4,6,3,2,5] => [5,2,3,6,4,1] => [2,5,4,1,3,6] => [4,2,1,5,3,6] => 1
[1,4,6,3,5,2] => [2,5,3,6,4,1] => [5,2,4,1,3,6] => [4,5,1,2,3,6] => 2
[1,4,6,5,2,3] => [3,2,5,6,4,1] => [4,5,2,1,3,6] => [2,5,1,4,3,6] => 1
[1,4,6,5,3,2] => [2,3,5,6,4,1] => [5,4,2,1,3,6] => [2,4,1,5,3,6] => 1
[1,5,2,3,4,6] => [6,4,3,2,5,1] => [1,3,4,5,2,6] => [1,5,3,4,2,6] => 0
[1,5,2,3,6,4] => [4,6,3,2,5,1] => [3,1,4,5,2,6] => [3,5,1,4,2,6] => 0
[1,5,2,4,3,6] => [6,3,4,2,5,1] => [1,4,3,5,2,6] => [1,5,4,3,2,6] => 0
[1,5,2,4,6,3] => [3,6,4,2,5,1] => [4,1,3,5,2,6] => [4,5,1,3,2,6] => 1
[1,5,2,6,3,4] => [4,3,6,2,5,1] => [3,4,1,5,2,6] => [4,5,3,1,2,6] => 0
[1,5,2,6,4,3] => [3,4,6,2,5,1] => [4,3,1,5,2,6] => [3,4,5,2,1,6] => 0
[1,5,3,2,4,6] => [6,4,2,3,5,1] => [1,3,5,4,2,6] => [1,4,3,5,2,6] => 0
[1,5,3,2,6,4] => [4,6,2,3,5,1] => [3,1,5,4,2,6] => [3,4,1,5,2,6] => 0
[1,5,3,4,2,6] => [6,2,4,3,5,1] => [1,5,3,4,2,6] => [1,4,5,3,2,6] => 1
[1,5,3,4,6,2] => [2,6,4,3,5,1] => [5,1,3,4,2,6] => [5,4,1,3,2,6] => 2
[1,5,3,6,2,4] => [4,2,6,3,5,1] => [3,5,1,4,2,6] => [5,4,3,1,2,6] => 1
[1,5,3,6,4,2] => [2,4,6,3,5,1] => [5,3,1,4,2,6] => [3,5,4,2,1,6] => 1
[1,5,4,2,3,6] => [6,3,2,4,5,1] => [1,4,5,3,2,6] => [1,3,5,4,2,6] => 0
[1,5,4,2,6,3] => [3,6,2,4,5,1] => [4,1,5,3,2,6] => [4,3,5,1,2,6] => 0
[1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,5,4,3,2,6] => [1,3,4,5,2,6] => 0
[1,5,4,3,6,2] => [2,6,3,4,5,1] => [5,1,4,3,2,6] => [5,3,4,1,2,6] => 1
[1,5,4,6,2,3] => [3,2,6,4,5,1] => [4,5,1,3,2,6] => [5,3,1,4,2,6] => 1
[1,5,4,6,3,2] => [2,3,6,4,5,1] => [5,4,1,3,2,6] => [4,3,1,5,2,6] => 1
[1,5,6,2,3,4] => [4,3,2,6,5,1] => [3,4,5,1,2,6] => [5,1,3,4,2,6] => 1
[1,5,6,2,4,3] => [3,4,2,6,5,1] => [4,3,5,1,2,6] => [5,1,4,3,2,6] => 1
[1,5,6,3,2,4] => [4,2,3,6,5,1] => [3,5,4,1,2,6] => [4,1,3,5,2,6] => 1
[1,5,6,3,4,2] => [2,4,3,6,5,1] => [5,3,4,1,2,6] => [4,1,5,3,2,6] => 2
[1,5,6,4,2,3] => [3,2,4,6,5,1] => [4,5,3,1,2,6] => [3,1,5,4,2,6] => 1
[1,5,6,4,3,2] => [2,3,4,6,5,1] => [5,4,3,1,2,6] => [3,1,4,5,2,6] => 1
[1,6,2,3,4,5] => [5,4,3,2,6,1] => [2,3,4,5,1,6] => [5,2,3,4,1,6] => 0
[1,6,2,3,5,4] => [4,5,3,2,6,1] => [3,2,4,5,1,6] => [5,3,2,4,1,6] => 0
[1,6,2,4,3,5] => [5,3,4,2,6,1] => [2,4,3,5,1,6] => [5,2,4,3,1,6] => 0
[1,6,2,4,5,3] => [3,5,4,2,6,1] => [4,2,3,5,1,6] => [5,4,2,3,1,6] => 1
[1,6,2,5,3,4] => [4,3,5,2,6,1] => [3,4,2,5,1,6] => [5,4,3,2,1,6] => 0
[1,6,2,5,4,3] => [3,4,5,2,6,1] => [4,3,2,5,1,6] => [5,3,4,2,1,6] => 0
[1,6,3,2,4,5] => [5,4,2,3,6,1] => [2,3,5,4,1,6] => [4,2,3,5,1,6] => 0
[1,6,3,2,5,4] => [4,5,2,3,6,1] => [3,2,5,4,1,6] => [4,3,2,5,1,6] => 0
[1,6,3,4,2,5] => [5,2,4,3,6,1] => [2,5,3,4,1,6] => [4,2,5,3,1,6] => 1
[1,6,3,4,5,2] => [2,5,4,3,6,1] => [5,2,3,4,1,6] => [4,5,2,3,1,6] => 2
[1,6,3,5,2,4] => [4,2,5,3,6,1] => [3,5,2,4,1,6] => [4,5,3,2,1,6] => 1
[1,6,3,5,4,2] => [2,4,5,3,6,1] => [5,3,2,4,1,6] => [4,3,5,2,1,6] => 1
[1,6,4,2,3,5] => [5,3,2,4,6,1] => [2,4,5,3,1,6] => [3,2,5,4,1,6] => 0
[1,6,4,2,5,3] => [3,5,2,4,6,1] => [4,2,5,3,1,6] => [3,5,4,1,2,6] => 0
[1,6,4,3,2,5] => [5,2,3,4,6,1] => [2,5,4,3,1,6] => [3,2,4,5,1,6] => 0
[1,6,4,3,5,2] => [2,5,3,4,6,1] => [5,2,4,3,1,6] => [3,4,5,1,2,6] => 1
[1,6,4,5,2,3] => [3,2,5,4,6,1] => [4,5,2,3,1,6] => [3,5,2,4,1,6] => 1
[1,6,4,5,3,2] => [2,3,5,4,6,1] => [5,4,2,3,1,6] => [3,4,2,5,1,6] => 1
[1,6,5,2,3,4] => [4,3,2,5,6,1] => [3,4,5,2,1,6] => [2,5,3,4,1,6] => 0
[1,6,5,2,4,3] => [3,4,2,5,6,1] => [4,3,5,2,1,6] => [2,5,4,3,1,6] => 0
[1,6,5,3,2,4] => [4,2,3,5,6,1] => [3,5,4,2,1,6] => [2,4,3,5,1,6] => 0
[1,6,5,3,4,2] => [2,4,3,5,6,1] => [5,3,4,2,1,6] => [2,4,5,3,1,6] => 1
[1,6,5,4,2,3] => [3,2,4,5,6,1] => [4,5,3,2,1,6] => [2,3,5,4,1,6] => 0
[1,6,5,4,3,2] => [2,3,4,5,6,1] => [5,4,3,2,1,6] => [2,3,4,5,1,6] => 0
[2,1,3,4,5,6] => [6,5,4,3,1,2] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => 0
[2,1,3,4,6,5] => [5,6,4,3,1,2] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => 0
[2,1,3,5,4,6] => [6,4,5,3,1,2] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => 0
[2,1,3,5,6,4] => [4,6,5,3,1,2] => [3,1,2,4,6,5] => [3,1,2,4,6,5] => 1
[2,1,3,6,4,5] => [5,4,6,3,1,2] => [2,3,1,4,6,5] => [3,2,1,4,6,5] => 0
[2,1,3,6,5,4] => [4,5,6,3,1,2] => [3,2,1,4,6,5] => [2,3,1,4,6,5] => 0
[2,1,4,3,5,6] => [6,5,3,4,1,2] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => 0
[2,1,4,3,6,5] => [5,6,3,4,1,2] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => 0
[2,1,4,5,3,6] => [6,3,5,4,1,2] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => 1
[2,1,4,5,6,3] => [3,6,5,4,1,2] => [4,1,2,3,6,5] => [4,1,2,3,6,5] => 2
[2,1,4,6,3,5] => [5,3,6,4,1,2] => [2,4,1,3,6,5] => [4,2,1,3,6,5] => 1
[2,1,4,6,5,3] => [3,5,6,4,1,2] => [4,2,1,3,6,5] => [2,4,1,3,6,5] => 1
[2,1,5,3,4,6] => [6,4,3,5,1,2] => [1,3,4,2,6,5] => [1,4,3,2,6,5] => 0
[2,1,5,3,6,4] => [4,6,3,5,1,2] => [3,1,4,2,6,5] => [3,4,1,2,6,5] => 0
[2,1,5,4,3,6] => [6,3,4,5,1,2] => [1,4,3,2,6,5] => [1,3,4,2,6,5] => 0
[2,1,5,4,6,3] => [3,6,4,5,1,2] => [4,1,3,2,6,5] => [4,3,1,2,6,5] => 1
[2,1,5,6,3,4] => [4,3,6,5,1,2] => [3,4,1,2,6,5] => [4,1,3,2,6,5] => 1
[2,1,5,6,4,3] => [3,4,6,5,1,2] => [4,3,1,2,6,5] => [3,1,4,2,6,5] => 1
[2,1,6,3,4,5] => [5,4,3,6,1,2] => [2,3,4,1,6,5] => [4,2,3,1,6,5] => 0
[2,1,6,3,5,4] => [4,5,3,6,1,2] => [3,2,4,1,6,5] => [4,3,2,1,6,5] => 0
[2,1,6,4,3,5] => [5,3,4,6,1,2] => [2,4,3,1,6,5] => [3,2,4,1,6,5] => 0
[2,1,6,4,5,3] => [3,5,4,6,1,2] => [4,2,3,1,6,5] => [3,4,2,1,6,5] => 1
[2,1,6,5,3,4] => [4,3,5,6,1,2] => [3,4,2,1,6,5] => [2,4,3,1,6,5] => 0
[2,1,6,5,4,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5] => [2,3,4,1,6,5] => 0
[2,3,1,4,5,6] => [6,5,4,1,3,2] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => 1
[2,3,1,4,6,5] => [5,6,4,1,3,2] => [2,1,3,6,4,5] => [2,1,3,6,4,5] => 1
[2,3,1,5,4,6] => [6,4,5,1,3,2] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => 1
[2,3,1,5,6,4] => [4,6,5,1,3,2] => [3,1,2,6,4,5] => [3,1,2,6,4,5] => 2
[2,3,1,6,4,5] => [5,4,6,1,3,2] => [2,3,1,6,4,5] => [3,2,1,6,4,5] => 1
[2,3,1,6,5,4] => [4,5,6,1,3,2] => [3,2,1,6,4,5] => [2,3,1,6,4,5] => 1
[2,3,4,1,5,6] => [6,5,1,4,3,2] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => 2
[2,3,4,1,6,5] => [5,6,1,4,3,2] => [2,1,6,3,4,5] => [2,1,6,3,4,5] => 2
[2,3,4,5,1,6] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => 3
[2,3,4,5,6,1] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => 4
[2,3,4,6,1,5] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [6,2,1,3,4,5] => 3
[2,3,4,6,5,1] => [1,5,6,4,3,2] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => 3
[2,3,5,1,4,6] => [6,4,1,5,3,2] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => 2
[2,3,5,1,6,4] => [4,6,1,5,3,2] => [3,1,6,2,4,5] => [3,6,1,2,4,5] => 2
[2,3,5,4,1,6] => [6,1,4,5,3,2] => [1,6,3,2,4,5] => [1,3,6,2,4,5] => 2
[2,3,5,4,6,1] => [1,6,4,5,3,2] => [6,1,3,2,4,5] => [6,3,1,2,4,5] => 3
[2,3,5,6,1,4] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [6,1,3,2,4,5] => 3
[2,3,5,6,4,1] => [1,4,6,5,3,2] => [6,3,1,2,4,5] => [3,1,6,2,4,5] => 3
[2,3,6,1,4,5] => [5,4,1,6,3,2] => [2,3,6,1,4,5] => [6,2,3,1,4,5] => 2
[2,3,6,1,5,4] => [4,5,1,6,3,2] => [3,2,6,1,4,5] => [6,3,2,1,4,5] => 2
[2,3,6,4,1,5] => [5,1,4,6,3,2] => [2,6,3,1,4,5] => [3,2,6,1,4,5] => 2
[2,3,6,4,5,1] => [1,5,4,6,3,2] => [6,2,3,1,4,5] => [3,6,2,1,4,5] => 3
[2,3,6,5,1,4] => [4,1,5,6,3,2] => [3,6,2,1,4,5] => [2,6,3,1,4,5] => 2
[2,3,6,5,4,1] => [1,4,5,6,3,2] => [6,3,2,1,4,5] => [2,3,6,1,4,5] => 2
[2,4,1,3,5,6] => [6,5,3,1,4,2] => [1,2,4,6,3,5] => [1,2,6,4,3,5] => 1
[2,4,1,3,6,5] => [5,6,3,1,4,2] => [2,1,4,6,3,5] => [2,1,6,4,3,5] => 1
[2,4,1,5,3,6] => [6,3,5,1,4,2] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => 1
[2,4,1,5,6,3] => [3,6,5,1,4,2] => [4,1,2,6,3,5] => [4,1,6,2,3,5] => 2
[2,4,1,6,3,5] => [5,3,6,1,4,2] => [2,4,1,6,3,5] => [4,2,6,1,3,5] => 1
[2,4,1,6,5,3] => [3,5,6,1,4,2] => [4,2,1,6,3,5] => [2,4,6,1,3,5] => 1
[2,4,3,1,5,6] => [6,5,1,3,4,2] => [1,2,6,4,3,5] => [1,2,4,6,3,5] => 1
[2,4,3,1,6,5] => [5,6,1,3,4,2] => [2,1,6,4,3,5] => [2,1,4,6,3,5] => 1
[2,4,3,5,1,6] => [6,1,5,3,4,2] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => 2
[2,4,3,5,6,1] => [1,6,5,3,4,2] => [6,1,2,4,3,5] => [6,1,4,2,3,5] => 3
[2,4,3,6,1,5] => [5,1,6,3,4,2] => [2,6,1,4,3,5] => [6,2,4,1,3,5] => 2
[2,4,3,6,5,1] => [1,5,6,3,4,2] => [6,2,1,4,3,5] => [2,6,4,1,3,5] => 2
[2,4,5,1,3,6] => [6,3,1,5,4,2] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => 2
[2,4,5,1,6,3] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,6,2,1,3,5] => 2
[2,4,5,3,1,6] => [6,1,3,5,4,2] => [1,6,4,2,3,5] => [1,4,2,6,3,5] => 2
[2,4,5,3,6,1] => [1,6,3,5,4,2] => [6,1,4,2,3,5] => [6,4,2,1,3,5] => 3
[2,4,5,6,1,3] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [6,1,2,4,3,5] => 3
[2,4,5,6,3,1] => [1,3,6,5,4,2] => [6,4,1,2,3,5] => [4,1,2,6,3,5] => 3
[2,4,6,1,3,5] => [5,3,1,6,4,2] => [2,4,6,1,3,5] => [6,2,1,4,3,5] => 2
[2,4,6,1,5,3] => [3,5,1,6,4,2] => [4,2,6,1,3,5] => [6,4,1,2,3,5] => 2
[2,4,6,3,1,5] => [5,1,3,6,4,2] => [2,6,4,1,3,5] => [4,2,1,6,3,5] => 2
[2,4,6,3,5,1] => [1,5,3,6,4,2] => [6,2,4,1,3,5] => [4,6,1,2,3,5] => 3
[2,4,6,5,1,3] => [3,1,5,6,4,2] => [4,6,2,1,3,5] => [2,6,1,4,3,5] => 2
[2,4,6,5,3,1] => [1,3,5,6,4,2] => [6,4,2,1,3,5] => [2,4,1,6,3,5] => 2
[2,5,1,3,4,6] => [6,4,3,1,5,2] => [1,3,4,6,2,5] => [1,6,3,4,2,5] => 1
[2,5,1,3,6,4] => [4,6,3,1,5,2] => [3,1,4,6,2,5] => [3,6,1,4,2,5] => 1
[2,5,1,4,3,6] => [6,3,4,1,5,2] => [1,4,3,6,2,5] => [1,6,4,3,2,5] => 1
[2,5,1,4,6,3] => [3,6,4,1,5,2] => [4,1,3,6,2,5] => [4,6,1,3,2,5] => 2
[2,5,1,6,3,4] => [4,3,6,1,5,2] => [3,4,1,6,2,5] => [4,6,3,1,2,5] => 1
[2,5,1,6,4,3] => [3,4,6,1,5,2] => [4,3,1,6,2,5] => [3,4,6,2,1,5] => 1
[2,5,3,1,4,6] => [6,4,1,3,5,2] => [1,3,6,4,2,5] => [1,4,3,6,2,5] => 1
[2,5,3,1,6,4] => [4,6,1,3,5,2] => [3,1,6,4,2,5] => [3,4,1,6,2,5] => 1
[2,5,3,4,1,6] => [6,1,4,3,5,2] => [1,6,3,4,2,5] => [1,4,6,3,2,5] => 2
[2,5,3,4,6,1] => [1,6,4,3,5,2] => [6,1,3,4,2,5] => [6,4,1,3,2,5] => 3
[2,5,3,6,1,4] => [4,1,6,3,5,2] => [3,6,1,4,2,5] => [6,4,3,1,2,5] => 2
[2,5,3,6,4,1] => [1,4,6,3,5,2] => [6,3,1,4,2,5] => [3,6,4,2,1,5] => 2
[2,5,4,1,3,6] => [6,3,1,4,5,2] => [1,4,6,3,2,5] => [1,3,6,4,2,5] => 1
[2,5,4,1,6,3] => [3,6,1,4,5,2] => [4,1,6,3,2,5] => [4,3,6,1,2,5] => 1
[2,5,4,3,1,6] => [6,1,3,4,5,2] => [1,6,4,3,2,5] => [1,3,4,6,2,5] => 1
[2,5,4,3,6,1] => [1,6,3,4,5,2] => [6,1,4,3,2,5] => [6,3,4,1,2,5] => 2
[2,5,4,6,1,3] => [3,1,6,4,5,2] => [4,6,1,3,2,5] => [6,3,1,4,2,5] => 2
[2,5,4,6,3,1] => [1,3,6,4,5,2] => [6,4,1,3,2,5] => [4,3,1,6,2,5] => 2
[2,5,6,1,3,4] => [4,3,1,6,5,2] => [3,4,6,1,2,5] => [6,1,3,4,2,5] => 2
[2,5,6,1,4,3] => [3,4,1,6,5,2] => [4,3,6,1,2,5] => [6,1,4,3,2,5] => 2
[2,5,6,3,1,4] => [4,1,3,6,5,2] => [3,6,4,1,2,5] => [4,1,3,6,2,5] => 2
[2,5,6,3,4,1] => [1,4,3,6,5,2] => [6,3,4,1,2,5] => [4,1,6,3,2,5] => 3
[2,5,6,4,1,3] => [3,1,4,6,5,2] => [4,6,3,1,2,5] => [3,1,6,4,2,5] => 2
[2,5,6,4,3,1] => [1,3,4,6,5,2] => [6,4,3,1,2,5] => [3,1,4,6,2,5] => 2
[2,6,1,3,4,5] => [5,4,3,1,6,2] => [2,3,4,6,1,5] => [6,2,3,4,1,5] => 1
[2,6,1,3,5,4] => [4,5,3,1,6,2] => [3,2,4,6,1,5] => [6,3,2,4,1,5] => 1
[2,6,1,4,3,5] => [5,3,4,1,6,2] => [2,4,3,6,1,5] => [6,2,4,3,1,5] => 1
[2,6,1,4,5,3] => [3,5,4,1,6,2] => [4,2,3,6,1,5] => [6,4,2,3,1,5] => 2
[2,6,1,5,3,4] => [4,3,5,1,6,2] => [3,4,2,6,1,5] => [6,4,3,2,1,5] => 1
[2,6,1,5,4,3] => [3,4,5,1,6,2] => [4,3,2,6,1,5] => [6,3,4,2,1,5] => 1
[2,6,3,1,4,5] => [5,4,1,3,6,2] => [2,3,6,4,1,5] => [4,2,3,6,1,5] => 1
[2,6,3,1,5,4] => [4,5,1,3,6,2] => [3,2,6,4,1,5] => [4,3,2,6,1,5] => 1
[2,6,3,4,1,5] => [5,1,4,3,6,2] => [2,6,3,4,1,5] => [4,2,6,3,1,5] => 2
[2,6,3,4,5,1] => [1,5,4,3,6,2] => [6,2,3,4,1,5] => [4,6,2,3,1,5] => 3
[2,6,3,5,1,4] => [4,1,5,3,6,2] => [3,6,2,4,1,5] => [4,6,3,2,1,5] => 2
[2,6,3,5,4,1] => [1,4,5,3,6,2] => [6,3,2,4,1,5] => [4,3,6,2,1,5] => 2
[2,6,4,1,3,5] => [5,3,1,4,6,2] => [2,4,6,3,1,5] => [3,2,6,4,1,5] => 1
[2,6,4,1,5,3] => [3,5,1,4,6,2] => [4,2,6,3,1,5] => [3,6,4,1,2,5] => 1
[2,6,4,3,1,5] => [5,1,3,4,6,2] => [2,6,4,3,1,5] => [3,2,4,6,1,5] => 1
[2,6,4,3,5,1] => [1,5,3,4,6,2] => [6,2,4,3,1,5] => [3,4,6,1,2,5] => 2
[2,6,4,5,1,3] => [3,1,5,4,6,2] => [4,6,2,3,1,5] => [3,6,2,4,1,5] => 2
[2,6,4,5,3,1] => [1,3,5,4,6,2] => [6,4,2,3,1,5] => [3,4,2,6,1,5] => 2
[2,6,5,1,3,4] => [4,3,1,5,6,2] => [3,4,6,2,1,5] => [2,6,3,4,1,5] => 1
[2,6,5,1,4,3] => [3,4,1,5,6,2] => [4,3,6,2,1,5] => [2,6,4,3,1,5] => 1
[2,6,5,3,1,4] => [4,1,3,5,6,2] => [3,6,4,2,1,5] => [2,4,3,6,1,5] => 1
[2,6,5,3,4,1] => [1,4,3,5,6,2] => [6,3,4,2,1,5] => [2,4,6,3,1,5] => 2
[2,6,5,4,1,3] => [3,1,4,5,6,2] => [4,6,3,2,1,5] => [2,3,6,4,1,5] => 1
[2,6,5,4,3,1] => [1,3,4,5,6,2] => [6,4,3,2,1,5] => [2,3,4,6,1,5] => 1
[3,1,2,4,5,6] => [6,5,4,2,1,3] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => 0
[3,1,2,4,6,5] => [5,6,4,2,1,3] => [2,1,3,5,6,4] => [2,1,3,6,5,4] => 0
[3,1,2,5,4,6] => [6,4,5,2,1,3] => [1,3,2,5,6,4] => [1,3,2,6,5,4] => 0
[3,1,2,5,6,4] => [4,6,5,2,1,3] => [3,1,2,5,6,4] => [3,1,2,6,5,4] => 1
[3,1,2,6,4,5] => [5,4,6,2,1,3] => [2,3,1,5,6,4] => [3,2,1,6,5,4] => 0
[3,1,2,6,5,4] => [4,5,6,2,1,3] => [3,2,1,5,6,4] => [2,3,1,6,5,4] => 0
[3,1,4,2,5,6] => [6,5,2,4,1,3] => [1,2,5,3,6,4] => [1,2,5,6,3,4] => 0
[3,1,4,2,6,5] => [5,6,2,4,1,3] => [2,1,5,3,6,4] => [2,1,5,6,3,4] => 0
[3,1,4,5,2,6] => [6,2,5,4,1,3] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => 1
[3,1,4,5,6,2] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,2,6,3,4] => 2
[3,1,4,6,2,5] => [5,2,6,4,1,3] => [2,5,1,3,6,4] => [5,2,1,6,3,4] => 1
[3,1,4,6,5,2] => [2,5,6,4,1,3] => [5,2,1,3,6,4] => [2,5,1,6,3,4] => 1
[3,1,5,2,4,6] => [6,4,2,5,1,3] => [1,3,5,2,6,4] => [1,5,3,6,2,4] => 0
[3,1,5,2,6,4] => [4,6,2,5,1,3] => [3,1,5,2,6,4] => [3,5,1,6,2,4] => 0
[3,1,5,4,2,6] => [6,2,4,5,1,3] => [1,5,3,2,6,4] => [1,3,5,6,2,4] => 0
[3,1,5,4,6,2] => [2,6,4,5,1,3] => [5,1,3,2,6,4] => [5,3,1,6,2,4] => 1
[3,1,5,6,2,4] => [4,2,6,5,1,3] => [3,5,1,2,6,4] => [5,1,3,6,2,4] => 1
[3,1,5,6,4,2] => [2,4,6,5,1,3] => [5,3,1,2,6,4] => [3,1,5,6,2,4] => 1
[3,1,6,2,4,5] => [5,4,2,6,1,3] => [2,3,5,1,6,4] => [5,2,3,6,1,4] => 0
[3,1,6,2,5,4] => [4,5,2,6,1,3] => [3,2,5,1,6,4] => [5,3,2,6,1,4] => 0
[3,1,6,4,2,5] => [5,2,4,6,1,3] => [2,5,3,1,6,4] => [3,2,5,6,1,4] => 0
[3,1,6,4,5,2] => [2,5,4,6,1,3] => [5,2,3,1,6,4] => [3,5,2,6,1,4] => 1
[3,1,6,5,2,4] => [4,2,5,6,1,3] => [3,5,2,1,6,4] => [2,5,3,6,1,4] => 0
[3,1,6,5,4,2] => [2,4,5,6,1,3] => [5,3,2,1,6,4] => [2,3,5,6,1,4] => 0
[3,2,1,4,5,6] => [6,5,4,1,2,3] => [1,2,3,6,5,4] => [1,2,3,5,6,4] => 0
[3,2,1,4,6,5] => [5,6,4,1,2,3] => [2,1,3,6,5,4] => [2,1,3,5,6,4] => 0
[3,2,1,5,4,6] => [6,4,5,1,2,3] => [1,3,2,6,5,4] => [1,3,2,5,6,4] => 0
[3,2,1,5,6,4] => [4,6,5,1,2,3] => [3,1,2,6,5,4] => [3,1,2,5,6,4] => 1
[3,2,1,6,4,5] => [5,4,6,1,2,3] => [2,3,1,6,5,4] => [3,2,1,5,6,4] => 0
[3,2,1,6,5,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => 0
[3,2,4,1,5,6] => [6,5,1,4,2,3] => [1,2,6,3,5,4] => [1,2,6,5,3,4] => 1
[3,2,4,1,6,5] => [5,6,1,4,2,3] => [2,1,6,3,5,4] => [2,1,6,5,3,4] => 1
[3,2,4,5,1,6] => [6,1,5,4,2,3] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => 2
[3,2,4,5,6,1] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [6,1,2,5,3,4] => 3
[3,2,4,6,1,5] => [5,1,6,4,2,3] => [2,6,1,3,5,4] => [6,2,1,5,3,4] => 2
[3,2,4,6,5,1] => [1,5,6,4,2,3] => [6,2,1,3,5,4] => [2,6,1,5,3,4] => 2
[3,2,5,1,4,6] => [6,4,1,5,2,3] => [1,3,6,2,5,4] => [1,6,3,5,2,4] => 1
[3,2,5,1,6,4] => [4,6,1,5,2,3] => [3,1,6,2,5,4] => [3,6,1,5,2,4] => 1
[3,2,5,4,1,6] => [6,1,4,5,2,3] => [1,6,3,2,5,4] => [1,3,6,5,2,4] => 1
[3,2,5,4,6,1] => [1,6,4,5,2,3] => [6,1,3,2,5,4] => [6,3,1,5,2,4] => 2
[3,2,5,6,1,4] => [4,1,6,5,2,3] => [3,6,1,2,5,4] => [6,1,3,5,2,4] => 2
[3,2,5,6,4,1] => [1,4,6,5,2,3] => [6,3,1,2,5,4] => [3,1,6,5,2,4] => 2
[3,2,6,1,4,5] => [5,4,1,6,2,3] => [2,3,6,1,5,4] => [6,2,3,5,1,4] => 1
[3,2,6,1,5,4] => [4,5,1,6,2,3] => [3,2,6,1,5,4] => [6,3,2,5,1,4] => 1
[3,2,6,4,1,5] => [5,1,4,6,2,3] => [2,6,3,1,5,4] => [3,2,6,5,1,4] => 1
[3,2,6,4,5,1] => [1,5,4,6,2,3] => [6,2,3,1,5,4] => [3,6,2,5,1,4] => 2
[3,2,6,5,1,4] => [4,1,5,6,2,3] => [3,6,2,1,5,4] => [2,6,3,5,1,4] => 1
[3,2,6,5,4,1] => [1,4,5,6,2,3] => [6,3,2,1,5,4] => [2,3,6,5,1,4] => 1
[3,4,1,2,5,6] => [6,5,2,1,4,3] => [1,2,5,6,3,4] => [1,2,6,3,5,4] => 1
[3,4,1,2,6,5] => [5,6,2,1,4,3] => [2,1,5,6,3,4] => [2,1,6,3,5,4] => 1
[3,4,1,5,2,6] => [6,2,5,1,4,3] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => 1
[3,4,1,5,6,2] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,3,2,4] => 2
[3,4,1,6,2,5] => [5,2,6,1,4,3] => [2,5,1,6,3,4] => [5,2,6,3,1,4] => 1
[3,4,1,6,5,2] => [2,5,6,1,4,3] => [5,2,1,6,3,4] => [2,5,6,3,1,4] => 1
[3,4,2,1,5,6] => [6,5,1,2,4,3] => [1,2,6,5,3,4] => [1,2,5,3,6,4] => 1
[3,4,2,1,6,5] => [5,6,1,2,4,3] => [2,1,6,5,3,4] => [2,1,5,3,6,4] => 1
[3,4,2,5,1,6] => [6,1,5,2,4,3] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => 2
[3,4,2,5,6,1] => [1,6,5,2,4,3] => [6,1,2,5,3,4] => [6,1,5,3,2,4] => 3
[3,4,2,6,1,5] => [5,1,6,2,4,3] => [2,6,1,5,3,4] => [6,2,5,3,1,4] => 2
[3,4,2,6,5,1] => [1,5,6,2,4,3] => [6,2,1,5,3,4] => [2,6,5,3,1,4] => 2
[3,4,5,1,2,6] => [6,2,1,5,4,3] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => 2
[3,4,5,1,6,2] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,6,2,3,1,4] => 2
[3,4,5,2,1,6] => [6,1,2,5,4,3] => [1,6,5,2,3,4] => [1,5,2,3,6,4] => 2
[3,4,5,2,6,1] => [1,6,2,5,4,3] => [6,1,5,2,3,4] => [6,5,2,3,1,4] => 3
[3,4,5,6,1,2] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => 3
[3,4,5,6,2,1] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [5,1,2,3,6,4] => 3
[3,4,6,1,2,5] => [5,2,1,6,4,3] => [2,5,6,1,3,4] => [6,2,1,3,5,4] => 2
[3,4,6,1,5,2] => [2,5,1,6,4,3] => [5,2,6,1,3,4] => [6,5,1,2,4,3] => 2
[3,4,6,2,1,5] => [5,1,2,6,4,3] => [2,6,5,1,3,4] => [5,2,1,3,6,4] => 2
[3,4,6,2,5,1] => [1,5,2,6,4,3] => [6,2,5,1,3,4] => [5,6,1,2,4,3] => 3
[3,4,6,5,1,2] => [2,1,5,6,4,3] => [5,6,2,1,3,4] => [2,6,1,3,5,4] => 2
[3,4,6,5,2,1] => [1,2,5,6,4,3] => [6,5,2,1,3,4] => [2,5,1,3,6,4] => 2
[3,5,1,2,4,6] => [6,4,2,1,5,3] => [1,3,5,6,2,4] => [1,6,3,2,5,4] => 1
[3,5,1,2,6,4] => [4,6,2,1,5,3] => [3,1,5,6,2,4] => [3,6,1,2,5,4] => 1
[3,5,1,4,2,6] => [6,2,4,1,5,3] => [1,5,3,6,2,4] => [1,6,5,2,3,4] => 1
[3,5,1,4,6,2] => [2,6,4,1,5,3] => [5,1,3,6,2,4] => [5,6,1,3,4,2] => 2
[3,5,1,6,2,4] => [4,2,6,1,5,3] => [3,5,1,6,2,4] => [5,6,3,2,1,4] => 1
[3,5,1,6,4,2] => [2,4,6,1,5,3] => [5,3,1,6,2,4] => [3,5,6,2,4,1] => 1
[3,5,2,1,4,6] => [6,4,1,2,5,3] => [1,3,6,5,2,4] => [1,5,3,2,6,4] => 1
[3,5,2,1,6,4] => [4,6,1,2,5,3] => [3,1,6,5,2,4] => [3,5,1,2,6,4] => 1
[3,5,2,4,1,6] => [6,1,4,2,5,3] => [1,6,3,5,2,4] => [1,5,6,2,3,4] => 2
[3,5,2,4,6,1] => [1,6,4,2,5,3] => [6,1,3,5,2,4] => [6,5,1,3,4,2] => 3
[3,5,2,6,1,4] => [4,1,6,2,5,3] => [3,6,1,5,2,4] => [6,5,3,2,1,4] => 2
[3,5,2,6,4,1] => [1,4,6,2,5,3] => [6,3,1,5,2,4] => [3,6,5,2,4,1] => 2
[3,5,4,1,2,6] => [6,2,1,4,5,3] => [1,5,6,3,2,4] => [1,3,6,2,5,4] => 1
[3,5,4,1,6,2] => [2,6,1,4,5,3] => [5,1,6,3,2,4] => [5,3,6,2,1,4] => 1
[3,5,4,2,1,6] => [6,1,2,4,5,3] => [1,6,5,3,2,4] => [1,3,5,2,6,4] => 1
[3,5,4,2,6,1] => [1,6,2,4,5,3] => [6,1,5,3,2,4] => [6,3,5,2,1,4] => 2
[3,5,4,6,1,2] => [2,1,6,4,5,3] => [5,6,1,3,2,4] => [6,3,1,2,5,4] => 2
[3,5,4,6,2,1] => [1,2,6,4,5,3] => [6,5,1,3,2,4] => [5,3,1,2,6,4] => 2
[3,5,6,1,2,4] => [4,2,1,6,5,3] => [3,5,6,1,2,4] => [6,1,3,2,5,4] => 2
[3,5,6,1,4,2] => [2,4,1,6,5,3] => [5,3,6,1,2,4] => [6,1,5,2,3,4] => 2
[3,5,6,2,1,4] => [4,1,2,6,5,3] => [3,6,5,1,2,4] => [5,1,3,2,6,4] => 2
[3,5,6,2,4,1] => [1,4,2,6,5,3] => [6,3,5,1,2,4] => [5,1,6,2,3,4] => 3
[3,5,6,4,1,2] => [2,1,4,6,5,3] => [5,6,3,1,2,4] => [3,1,6,2,5,4] => 2
[3,5,6,4,2,1] => [1,2,4,6,5,3] => [6,5,3,1,2,4] => [3,1,5,2,6,4] => 2
[3,6,1,2,4,5] => [5,4,2,1,6,3] => [2,3,5,6,1,4] => [6,2,3,1,5,4] => 1
[3,6,1,2,5,4] => [4,5,2,1,6,3] => [3,2,5,6,1,4] => [6,3,2,1,5,4] => 1
[3,6,1,4,2,5] => [5,2,4,1,6,3] => [2,5,3,6,1,4] => [6,2,5,1,3,4] => 1
[3,6,1,4,5,2] => [2,5,4,1,6,3] => [5,2,3,6,1,4] => [6,5,2,1,3,4] => 2
[3,6,1,5,2,4] => [4,2,5,1,6,3] => [3,5,2,6,1,4] => [6,5,3,1,2,4] => 1
[3,6,1,5,4,2] => [2,4,5,1,6,3] => [5,3,2,6,1,4] => [6,3,5,1,2,4] => 1
[3,6,2,1,4,5] => [5,4,1,2,6,3] => [2,3,6,5,1,4] => [5,2,3,1,6,4] => 1
[3,6,2,1,5,4] => [4,5,1,2,6,3] => [3,2,6,5,1,4] => [5,3,2,1,6,4] => 1
[3,6,2,4,1,5] => [5,1,4,2,6,3] => [2,6,3,5,1,4] => [5,2,6,1,3,4] => 2
[3,6,2,4,5,1] => [1,5,4,2,6,3] => [6,2,3,5,1,4] => [5,6,2,1,3,4] => 3
[3,6,2,5,1,4] => [4,1,5,2,6,3] => [3,6,2,5,1,4] => [5,6,3,1,2,4] => 2
[3,6,2,5,4,1] => [1,4,5,2,6,3] => [6,3,2,5,1,4] => [5,3,6,1,2,4] => 2
[3,6,4,1,2,5] => [5,2,1,4,6,3] => [2,5,6,3,1,4] => [3,2,6,1,5,4] => 1
[3,6,4,1,5,2] => [2,5,1,4,6,3] => [5,2,6,3,1,4] => [3,6,5,1,4,2] => 1
[3,6,4,2,1,5] => [5,1,2,4,6,3] => [2,6,5,3,1,4] => [3,2,5,1,6,4] => 1
[3,6,4,2,5,1] => [1,5,2,4,6,3] => [6,2,5,3,1,4] => [3,5,6,1,4,2] => 2
[3,6,4,5,1,2] => [2,1,5,4,6,3] => [5,6,2,3,1,4] => [3,6,2,1,5,4] => 2
[3,6,4,5,2,1] => [1,2,5,4,6,3] => [6,5,2,3,1,4] => [3,5,2,1,6,4] => 2
[3,6,5,1,2,4] => [4,2,1,5,6,3] => [3,5,6,2,1,4] => [2,6,3,1,5,4] => 1
[3,6,5,1,4,2] => [2,4,1,5,6,3] => [5,3,6,2,1,4] => [2,6,5,1,3,4] => 1
[3,6,5,2,1,4] => [4,1,2,5,6,3] => [3,6,5,2,1,4] => [2,5,3,1,6,4] => 1
[3,6,5,2,4,1] => [1,4,2,5,6,3] => [6,3,5,2,1,4] => [2,5,6,1,3,4] => 2
[3,6,5,4,1,2] => [2,1,4,5,6,3] => [5,6,3,2,1,4] => [2,3,6,1,5,4] => 1
[3,6,5,4,2,1] => [1,2,4,5,6,3] => [6,5,3,2,1,4] => [2,3,5,1,6,4] => 1
[4,1,2,3,5,6] => [6,5,3,2,1,4] => [1,2,4,5,6,3] => [1,2,6,4,5,3] => 0
[4,1,2,3,6,5] => [5,6,3,2,1,4] => [2,1,4,5,6,3] => [2,1,6,4,5,3] => 0
[4,1,2,5,3,6] => [6,3,5,2,1,4] => [1,4,2,5,6,3] => [1,4,6,2,5,3] => 0
[4,1,2,5,6,3] => [3,6,5,2,1,4] => [4,1,2,5,6,3] => [4,1,6,2,5,3] => 1
[4,1,2,6,3,5] => [5,3,6,2,1,4] => [2,4,1,5,6,3] => [4,2,6,1,5,3] => 0
[4,1,2,6,5,3] => [3,5,6,2,1,4] => [4,2,1,5,6,3] => [2,4,6,1,5,3] => 0
[4,1,3,2,5,6] => [6,5,2,3,1,4] => [1,2,5,4,6,3] => [1,2,6,5,4,3] => 0
[4,1,3,2,6,5] => [5,6,2,3,1,4] => [2,1,5,4,6,3] => [2,1,6,5,4,3] => 0
[4,1,3,5,2,6] => [6,2,5,3,1,4] => [1,5,2,4,6,3] => [1,5,6,2,4,3] => 1
[4,1,3,5,6,2] => [2,6,5,3,1,4] => [5,1,2,4,6,3] => [5,1,6,2,4,3] => 2
[4,1,3,6,2,5] => [5,2,6,3,1,4] => [2,5,1,4,6,3] => [5,2,6,1,4,3] => 1
[4,1,3,6,5,2] => [2,5,6,3,1,4] => [5,2,1,4,6,3] => [2,5,6,1,4,3] => 1
[4,1,5,2,3,6] => [6,3,2,5,1,4] => [1,4,5,2,6,3] => [1,5,6,4,2,3] => 0
[4,1,5,2,6,3] => [3,6,2,5,1,4] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => 0
[4,1,5,3,2,6] => [6,2,3,5,1,4] => [1,5,4,2,6,3] => [1,4,5,6,3,2] => 0
[4,1,5,3,6,2] => [2,6,3,5,1,4] => [5,1,4,2,6,3] => [5,4,6,1,2,3] => 1
[4,1,5,6,2,3] => [3,2,6,5,1,4] => [4,5,1,2,6,3] => [5,1,6,4,2,3] => 1
[4,1,5,6,3,2] => [2,3,6,5,1,4] => [5,4,1,2,6,3] => [4,1,5,6,3,2] => 1
[4,1,6,2,3,5] => [5,3,2,6,1,4] => [2,4,5,1,6,3] => [5,2,6,4,1,3] => 0
[4,1,6,2,5,3] => [3,5,2,6,1,4] => [4,2,5,1,6,3] => [5,4,6,2,1,3] => 0
[4,1,6,3,2,5] => [5,2,3,6,1,4] => [2,5,4,1,6,3] => [4,2,5,6,3,1] => 0
[4,1,6,3,5,2] => [2,5,3,6,1,4] => [5,2,4,1,6,3] => [4,5,6,2,1,3] => 1
[4,1,6,5,2,3] => [3,2,5,6,1,4] => [4,5,2,1,6,3] => [2,5,6,4,1,3] => 0
[4,1,6,5,3,2] => [2,3,5,6,1,4] => [5,4,2,1,6,3] => [2,4,5,6,3,1] => 0
[4,2,1,3,5,6] => [6,5,3,1,2,4] => [1,2,4,6,5,3] => [1,2,5,4,6,3] => 0
[4,2,1,3,6,5] => [5,6,3,1,2,4] => [2,1,4,6,5,3] => [2,1,5,4,6,3] => 0
[4,2,1,5,3,6] => [6,3,5,1,2,4] => [1,4,2,6,5,3] => [1,4,5,2,6,3] => 0
[4,2,1,5,6,3] => [3,6,5,1,2,4] => [4,1,2,6,5,3] => [4,1,5,2,6,3] => 1
[4,2,1,6,3,5] => [5,3,6,1,2,4] => [2,4,1,6,5,3] => [4,2,5,1,6,3] => 0
[4,2,1,6,5,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3] => [2,4,5,1,6,3] => 0
[4,2,3,1,5,6] => [6,5,1,3,2,4] => [1,2,6,4,5,3] => [1,2,5,6,4,3] => 1
[4,2,3,1,6,5] => [5,6,1,3,2,4] => [2,1,6,4,5,3] => [2,1,5,6,4,3] => 1
[4,2,3,5,1,6] => [6,1,5,3,2,4] => [1,6,2,4,5,3] => [1,6,5,2,4,3] => 2
[4,2,3,5,6,1] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [6,1,5,2,4,3] => 3
[4,2,3,6,1,5] => [5,1,6,3,2,4] => [2,6,1,4,5,3] => [6,2,5,1,4,3] => 2
[4,2,3,6,5,1] => [1,5,6,3,2,4] => [6,2,1,4,5,3] => [2,6,5,1,4,3] => 2
[4,2,5,1,3,6] => [6,3,1,5,2,4] => [1,4,6,2,5,3] => [1,6,5,4,2,3] => 1
[4,2,5,1,6,3] => [3,6,1,5,2,4] => [4,1,6,2,5,3] => [4,6,5,1,2,3] => 1
[4,2,5,3,1,6] => [6,1,3,5,2,4] => [1,6,4,2,5,3] => [1,4,6,5,3,2] => 1
[4,2,5,3,6,1] => [1,6,3,5,2,4] => [6,1,4,2,5,3] => [6,4,5,1,2,3] => 2
[4,2,5,6,1,3] => [3,1,6,5,2,4] => [4,6,1,2,5,3] => [6,1,5,4,2,3] => 2
[4,2,5,6,3,1] => [1,3,6,5,2,4] => [6,4,1,2,5,3] => [4,1,6,5,3,2] => 2
[4,2,6,1,3,5] => [5,3,1,6,2,4] => [2,4,6,1,5,3] => [6,2,5,4,1,3] => 1
[4,2,6,1,5,3] => [3,5,1,6,2,4] => [4,2,6,1,5,3] => [6,4,5,2,1,3] => 1
[4,2,6,3,1,5] => [5,1,3,6,2,4] => [2,6,4,1,5,3] => [4,2,6,5,3,1] => 1
[4,2,6,3,5,1] => [1,5,3,6,2,4] => [6,2,4,1,5,3] => [4,6,5,2,1,3] => 2
[4,2,6,5,1,3] => [3,1,5,6,2,4] => [4,6,2,1,5,3] => [2,6,5,4,1,3] => 1
[4,2,6,5,3,1] => [1,3,5,6,2,4] => [6,4,2,1,5,3] => [2,4,6,5,3,1] => 1
[4,3,1,2,5,6] => [6,5,2,1,3,4] => [1,2,5,6,4,3] => [1,2,4,6,5,3] => 0
[4,3,1,2,6,5] => [5,6,2,1,3,4] => [2,1,5,6,4,3] => [2,1,4,6,5,3] => 0
[4,3,1,5,2,6] => [6,2,5,1,3,4] => [1,5,2,6,4,3] => [1,5,4,6,2,3] => 0
[4,3,1,5,6,2] => [2,6,5,1,3,4] => [5,1,2,6,4,3] => [5,1,4,6,2,3] => 1
[4,3,1,6,2,5] => [5,2,6,1,3,4] => [2,5,1,6,4,3] => [5,2,4,6,1,3] => 0
[4,3,1,6,5,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3] => [2,5,4,6,1,3] => 0
[4,3,2,1,5,6] => [6,5,1,2,3,4] => [1,2,6,5,4,3] => [1,2,4,5,6,3] => 0
[4,3,2,1,6,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3] => [2,1,4,5,6,3] => 0
[4,3,2,5,1,6] => [6,1,5,2,3,4] => [1,6,2,5,4,3] => [1,6,4,5,2,3] => 1
[4,3,2,5,6,1] => [1,6,5,2,3,4] => [6,1,2,5,4,3] => [6,1,4,5,2,3] => 2
[4,3,2,6,1,5] => [5,1,6,2,3,4] => [2,6,1,5,4,3] => [6,2,4,5,1,3] => 1
[4,3,2,6,5,1] => [1,5,6,2,3,4] => [6,2,1,5,4,3] => [2,6,4,5,1,3] => 1
[4,3,5,1,2,6] => [6,2,1,5,3,4] => [1,5,6,2,4,3] => [1,6,4,2,5,3] => 1
[4,3,5,1,6,2] => [2,6,1,5,3,4] => [5,1,6,2,4,3] => [5,6,4,2,1,3] => 1
[4,3,5,2,1,6] => [6,1,2,5,3,4] => [1,6,5,2,4,3] => [1,5,4,2,6,3] => 1
[4,3,5,2,6,1] => [1,6,2,5,3,4] => [6,1,5,2,4,3] => [6,5,4,2,1,3] => 2
[4,3,5,6,1,2] => [2,1,6,5,3,4] => [5,6,1,2,4,3] => [6,1,4,2,5,3] => 2
[4,3,5,6,2,1] => [1,2,6,5,3,4] => [6,5,1,2,4,3] => [5,1,4,2,6,3] => 2
[4,3,6,1,2,5] => [5,2,1,6,3,4] => [2,5,6,1,4,3] => [6,2,4,1,5,3] => 1
[4,3,6,1,5,2] => [2,5,1,6,3,4] => [5,2,6,1,4,3] => [6,5,4,1,2,3] => 1
[4,3,6,2,1,5] => [5,1,2,6,3,4] => [2,6,5,1,4,3] => [5,2,4,1,6,3] => 1
[4,3,6,2,5,1] => [1,5,2,6,3,4] => [6,2,5,1,4,3] => [5,6,4,1,2,3] => 2
[4,3,6,5,1,2] => [2,1,5,6,3,4] => [5,6,2,1,4,3] => [2,6,4,1,5,3] => 1
[4,3,6,5,2,1] => [1,2,5,6,3,4] => [6,5,2,1,4,3] => [2,5,4,1,6,3] => 1
[4,5,1,2,3,6] => [6,3,2,1,5,4] => [1,4,5,6,2,3] => [1,6,2,4,5,3] => 1
[4,5,1,2,6,3] => [3,6,2,1,5,4] => [4,1,5,6,2,3] => [4,6,2,1,5,3] => 1
[4,5,1,3,2,6] => [6,2,3,1,5,4] => [1,5,4,6,2,3] => [1,6,2,5,4,3] => 1
[4,5,1,3,6,2] => [2,6,3,1,5,4] => [5,1,4,6,2,3] => [5,6,2,1,4,3] => 2
[4,5,1,6,2,3] => [3,2,6,1,5,4] => [4,5,1,6,2,3] => [5,6,2,4,1,3] => 1
[4,5,1,6,3,2] => [2,3,6,1,5,4] => [5,4,1,6,2,3] => [4,5,2,6,3,1] => 1
[4,5,2,1,3,6] => [6,3,1,2,5,4] => [1,4,6,5,2,3] => [1,5,2,4,6,3] => 1
[4,5,2,1,6,3] => [3,6,1,2,5,4] => [4,1,6,5,2,3] => [4,5,2,1,6,3] => 1
[4,5,2,3,1,6] => [6,1,3,2,5,4] => [1,6,4,5,2,3] => [1,5,2,6,4,3] => 2
[4,5,2,3,6,1] => [1,6,3,2,5,4] => [6,1,4,5,2,3] => [6,5,2,1,4,3] => 3
[4,5,2,6,1,3] => [3,1,6,2,5,4] => [4,6,1,5,2,3] => [6,5,2,4,1,3] => 2
[4,5,2,6,3,1] => [1,3,6,2,5,4] => [6,4,1,5,2,3] => [4,6,2,5,3,1] => 2
[4,5,3,1,2,6] => [6,2,1,3,5,4] => [1,5,6,4,2,3] => [1,4,2,6,5,3] => 1
[4,5,3,1,6,2] => [2,6,1,3,5,4] => [5,1,6,4,2,3] => [5,4,2,6,1,3] => 1
[4,5,3,2,1,6] => [6,1,2,3,5,4] => [1,6,5,4,2,3] => [1,4,2,5,6,3] => 1
[4,5,3,2,6,1] => [1,6,2,3,5,4] => [6,1,5,4,2,3] => [6,4,2,5,1,3] => 2
[4,5,3,6,1,2] => [2,1,6,3,5,4] => [5,6,1,4,2,3] => [6,4,2,1,5,3] => 2
[4,5,3,6,2,1] => [1,2,6,3,5,4] => [6,5,1,4,2,3] => [5,4,2,1,6,3] => 2
[4,5,6,1,2,3] => [3,2,1,6,5,4] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => 2
[4,5,6,1,3,2] => [2,3,1,6,5,4] => [5,4,6,1,2,3] => [6,1,2,5,4,3] => 2
[4,5,6,2,1,3] => [3,1,2,6,5,4] => [4,6,5,1,2,3] => [5,1,2,4,6,3] => 2
[4,5,6,2,3,1] => [1,3,2,6,5,4] => [6,4,5,1,2,3] => [5,1,2,6,4,3] => 3
[4,5,6,3,1,2] => [2,1,3,6,5,4] => [5,6,4,1,2,3] => [4,1,2,6,5,3] => 2
[4,5,6,3,2,1] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [4,1,2,5,6,3] => 2
[4,6,1,2,3,5] => [5,3,2,1,6,4] => [2,4,5,6,1,3] => [6,2,1,4,5,3] => 1
[4,6,1,2,5,3] => [3,5,2,1,6,4] => [4,2,5,6,1,3] => [6,4,1,2,5,3] => 1
[4,6,1,3,2,5] => [5,2,3,1,6,4] => [2,5,4,6,1,3] => [6,2,1,5,4,3] => 1
[4,6,1,3,5,2] => [2,5,3,1,6,4] => [5,2,4,6,1,3] => [6,5,1,3,2,4] => 2
[4,6,1,5,2,3] => [3,2,5,1,6,4] => [4,5,2,6,1,3] => [6,5,1,4,2,3] => 1
[4,6,1,5,3,2] => [2,3,5,1,6,4] => [5,4,2,6,1,3] => [6,4,1,5,2,3] => 1
[4,6,2,1,3,5] => [5,3,1,2,6,4] => [2,4,6,5,1,3] => [5,2,1,4,6,3] => 1
[4,6,2,1,5,3] => [3,5,1,2,6,4] => [4,2,6,5,1,3] => [5,4,1,2,6,3] => 1
[4,6,2,3,1,5] => [5,1,3,2,6,4] => [2,6,4,5,1,3] => [5,2,1,6,4,3] => 2
[4,6,2,3,5,1] => [1,5,3,2,6,4] => [6,2,4,5,1,3] => [5,6,1,3,2,4] => 3
[4,6,2,5,1,3] => [3,1,5,2,6,4] => [4,6,2,5,1,3] => [5,6,1,4,2,3] => 2
[4,6,2,5,3,1] => [1,3,5,2,6,4] => [6,4,2,5,1,3] => [5,4,1,6,2,3] => 2
[4,6,3,1,2,5] => [5,2,1,3,6,4] => [2,5,6,4,1,3] => [4,2,1,6,5,3] => 1
[4,6,3,1,5,2] => [2,5,1,3,6,4] => [5,2,6,4,1,3] => [4,6,1,5,3,2] => 1
[4,6,3,2,1,5] => [5,1,2,3,6,4] => [2,6,5,4,1,3] => [4,2,1,5,6,3] => 1
[4,6,3,2,5,1] => [1,5,2,3,6,4] => [6,2,5,4,1,3] => [4,5,1,6,3,2] => 2
[4,6,3,5,1,2] => [2,1,5,3,6,4] => [5,6,2,4,1,3] => [4,6,1,2,5,3] => 2
[4,6,3,5,2,1] => [1,2,5,3,6,4] => [6,5,2,4,1,3] => [4,5,1,2,6,3] => 2
[4,6,5,1,2,3] => [3,2,1,5,6,4] => [4,5,6,2,1,3] => [2,6,1,4,5,3] => 1
[4,6,5,1,3,2] => [2,3,1,5,6,4] => [5,4,6,2,1,3] => [2,6,1,5,4,3] => 1
[4,6,5,2,1,3] => [3,1,2,5,6,4] => [4,6,5,2,1,3] => [2,5,1,4,6,3] => 1
[4,6,5,2,3,1] => [1,3,2,5,6,4] => [6,4,5,2,1,3] => [2,5,1,6,4,3] => 2
[4,6,5,3,1,2] => [2,1,3,5,6,4] => [5,6,4,2,1,3] => [2,4,1,6,5,3] => 1
[4,6,5,3,2,1] => [1,2,3,5,6,4] => [6,5,4,2,1,3] => [2,4,1,5,6,3] => 1
[5,1,2,3,4,6] => [6,4,3,2,1,5] => [1,3,4,5,6,2] => [1,6,3,4,5,2] => 0
[5,1,2,3,6,4] => [4,6,3,2,1,5] => [3,1,4,5,6,2] => [3,6,1,4,5,2] => 0
[5,1,2,4,3,6] => [6,3,4,2,1,5] => [1,4,3,5,6,2] => [1,6,4,3,5,2] => 0
[5,1,2,4,6,3] => [3,6,4,2,1,5] => [4,1,3,5,6,2] => [4,6,1,3,5,2] => 1
[5,1,2,6,3,4] => [4,3,6,2,1,5] => [3,4,1,5,6,2] => [4,6,3,1,5,2] => 0
[5,1,2,6,4,3] => [3,4,6,2,1,5] => [4,3,1,5,6,2] => [3,4,6,2,5,1] => 0
[5,1,3,2,4,6] => [6,4,2,3,1,5] => [1,3,5,4,6,2] => [1,6,3,5,4,2] => 0
[5,1,3,2,6,4] => [4,6,2,3,1,5] => [3,1,5,4,6,2] => [3,6,1,5,4,2] => 0
[5,1,3,4,2,6] => [6,2,4,3,1,5] => [1,5,3,4,6,2] => [1,6,5,3,4,2] => 1
[5,1,3,4,6,2] => [2,6,4,3,1,5] => [5,1,3,4,6,2] => [5,6,1,2,3,4] => 2
[5,1,3,6,2,4] => [4,2,6,3,1,5] => [3,5,1,4,6,2] => [5,6,3,1,4,2] => 1
[5,1,3,6,4,2] => [2,4,6,3,1,5] => [5,3,1,4,6,2] => [3,5,6,1,2,4] => 1
[5,1,4,2,3,6] => [6,3,2,4,1,5] => [1,4,5,3,6,2] => [1,6,5,4,3,2] => 0
[5,1,4,2,6,3] => [3,6,2,4,1,5] => [4,1,5,3,6,2] => [4,6,5,1,3,2] => 0
[5,1,4,3,2,6] => [6,2,3,4,1,5] => [1,5,4,3,6,2] => [1,6,4,5,3,2] => 0
[5,1,4,3,6,2] => [2,6,3,4,1,5] => [5,1,4,3,6,2] => [5,6,4,1,3,2] => 1
[5,1,4,6,2,3] => [3,2,6,4,1,5] => [4,5,1,3,6,2] => [5,6,1,4,3,2] => 1
[5,1,4,6,3,2] => [2,3,6,4,1,5] => [5,4,1,3,6,2] => [4,5,1,6,2,3] => 1
[5,1,6,2,3,4] => [4,3,2,6,1,5] => [3,4,5,1,6,2] => [5,6,3,4,1,2] => 0
[5,1,6,2,4,3] => [3,4,2,6,1,5] => [4,3,5,1,6,2] => [5,6,4,3,1,2] => 0
[5,1,6,3,2,4] => [4,2,3,6,1,5] => [3,5,4,1,6,2] => [4,5,3,6,2,1] => 0
[5,1,6,3,4,2] => [2,4,3,6,1,5] => [5,3,4,1,6,2] => [4,6,5,3,1,2] => 1
[5,1,6,4,2,3] => [3,2,4,6,1,5] => [4,5,3,1,6,2] => [3,5,6,4,2,1] => 0
[5,1,6,4,3,2] => [2,3,4,6,1,5] => [5,4,3,1,6,2] => [3,4,5,6,1,2] => 0
[5,2,1,3,4,6] => [6,4,3,1,2,5] => [1,3,4,6,5,2] => [1,5,3,4,6,2] => 0
[5,2,1,3,6,4] => [4,6,3,1,2,5] => [3,1,4,6,5,2] => [3,5,1,4,6,2] => 0
[5,2,1,4,3,6] => [6,3,4,1,2,5] => [1,4,3,6,5,2] => [1,5,4,3,6,2] => 0
[5,2,1,4,6,3] => [3,6,4,1,2,5] => [4,1,3,6,5,2] => [4,5,1,3,6,2] => 1
[5,2,1,6,3,4] => [4,3,6,1,2,5] => [3,4,1,6,5,2] => [4,5,3,1,6,2] => 0
[5,2,1,6,4,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2] => [3,4,5,2,6,1] => 0
[5,2,3,1,4,6] => [6,4,1,3,2,5] => [1,3,6,4,5,2] => [1,5,3,6,4,2] => 1
[5,2,3,1,6,4] => [4,6,1,3,2,5] => [3,1,6,4,5,2] => [3,5,1,6,4,2] => 1
[5,2,3,4,1,6] => [6,1,4,3,2,5] => [1,6,3,4,5,2] => [1,5,6,3,4,2] => 2
[5,2,3,4,6,1] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [6,5,1,2,3,4] => 3
[5,2,3,6,1,4] => [4,1,6,3,2,5] => [3,6,1,4,5,2] => [6,5,3,1,4,2] => 2
[5,2,3,6,4,1] => [1,4,6,3,2,5] => [6,3,1,4,5,2] => [3,6,5,1,2,4] => 2
[5,2,4,1,3,6] => [6,3,1,4,2,5] => [1,4,6,3,5,2] => [1,5,6,4,3,2] => 1
[5,2,4,1,6,3] => [3,6,1,4,2,5] => [4,1,6,3,5,2] => [4,5,6,1,3,2] => 1
[5,2,4,3,1,6] => [6,1,3,4,2,5] => [1,6,4,3,5,2] => [1,5,4,6,3,2] => 1
[5,2,4,3,6,1] => [1,6,3,4,2,5] => [6,1,4,3,5,2] => [6,5,4,1,3,2] => 2
[5,2,4,6,1,3] => [3,1,6,4,2,5] => [4,6,1,3,5,2] => [6,5,1,4,3,2] => 2
[5,2,4,6,3,1] => [1,3,6,4,2,5] => [6,4,1,3,5,2] => [4,6,1,5,2,3] => 2
[5,2,6,1,3,4] => [4,3,1,6,2,5] => [3,4,6,1,5,2] => [6,5,3,4,1,2] => 1
[5,2,6,1,4,3] => [3,4,1,6,2,5] => [4,3,6,1,5,2] => [6,5,4,3,1,2] => 1
[5,2,6,3,1,4] => [4,1,3,6,2,5] => [3,6,4,1,5,2] => [4,6,3,5,2,1] => 1
[5,2,6,3,4,1] => [1,4,3,6,2,5] => [6,3,4,1,5,2] => [4,5,6,3,1,2] => 2
[5,2,6,4,1,3] => [3,1,4,6,2,5] => [4,6,3,1,5,2] => [3,6,5,4,2,1] => 1
[5,2,6,4,3,1] => [1,3,4,6,2,5] => [6,4,3,1,5,2] => [3,4,6,5,1,2] => 1
[5,3,1,2,4,6] => [6,4,2,1,3,5] => [1,3,5,6,4,2] => [1,4,3,6,5,2] => 0
[5,3,1,2,6,4] => [4,6,2,1,3,5] => [3,1,5,6,4,2] => [3,4,1,6,5,2] => 0
[5,3,1,4,2,6] => [6,2,4,1,3,5] => [1,5,3,6,4,2] => [1,4,6,5,2,3] => 0
[5,3,1,4,6,2] => [2,6,4,1,3,5] => [5,1,3,6,4,2] => [5,4,1,6,3,2] => 1
[5,3,1,6,2,4] => [4,2,6,1,3,5] => [3,5,1,6,4,2] => [5,4,3,6,1,2] => 0
[5,3,1,6,4,2] => [2,4,6,1,3,5] => [5,3,1,6,4,2] => [3,5,4,6,2,1] => 0
[5,3,2,1,4,6] => [6,4,1,2,3,5] => [1,3,6,5,4,2] => [1,4,3,5,6,2] => 0
[5,3,2,1,6,4] => [4,6,1,2,3,5] => [3,1,6,5,4,2] => [3,4,1,5,6,2] => 0
[5,3,2,4,1,6] => [6,1,4,2,3,5] => [1,6,3,5,4,2] => [1,4,5,6,2,3] => 1
[5,3,2,4,6,1] => [1,6,4,2,3,5] => [6,1,3,5,4,2] => [6,4,1,5,3,2] => 2
[5,3,2,6,1,4] => [4,1,6,2,3,5] => [3,6,1,5,4,2] => [6,4,3,5,1,2] => 1
[5,3,2,6,4,1] => [1,4,6,2,3,5] => [6,3,1,5,4,2] => [3,6,4,5,2,1] => 1
[5,3,4,1,2,6] => [6,2,1,4,3,5] => [1,5,6,3,4,2] => [1,4,6,3,5,2] => 1
[5,3,4,1,6,2] => [2,6,1,4,3,5] => [5,1,6,3,4,2] => [5,4,6,3,1,2] => 1
[5,3,4,2,1,6] => [6,1,2,4,3,5] => [1,6,5,3,4,2] => [1,4,5,3,6,2] => 1
[5,3,4,2,6,1] => [1,6,2,4,3,5] => [6,1,5,3,4,2] => [6,4,5,3,1,2] => 2
[5,3,4,6,1,2] => [2,1,6,4,3,5] => [5,6,1,3,4,2] => [6,4,1,3,5,2] => 2
[5,3,4,6,2,1] => [1,2,6,4,3,5] => [6,5,1,3,4,2] => [5,4,1,3,6,2] => 2
[5,3,6,1,2,4] => [4,2,1,6,3,5] => [3,5,6,1,4,2] => [6,4,3,1,5,2] => 1
[5,3,6,1,4,2] => [2,4,1,6,3,5] => [5,3,6,1,4,2] => [6,4,5,1,3,2] => 1
[5,3,6,2,1,4] => [4,1,2,6,3,5] => [3,6,5,1,4,2] => [5,4,3,1,6,2] => 1
[5,3,6,2,4,1] => [1,4,2,6,3,5] => [6,3,5,1,4,2] => [5,4,6,1,3,2] => 2
[5,3,6,4,1,2] => [2,1,4,6,3,5] => [5,6,3,1,4,2] => [3,6,4,2,5,1] => 1
[5,3,6,4,2,1] => [1,2,4,6,3,5] => [6,5,3,1,4,2] => [3,5,4,2,6,1] => 1
[5,4,1,2,3,6] => [6,3,2,1,4,5] => [1,4,5,6,3,2] => [1,3,6,4,5,2] => 0
[5,4,1,2,6,3] => [3,6,2,1,4,5] => [4,1,5,6,3,2] => [4,3,6,1,5,2] => 0
[5,4,1,3,2,6] => [6,2,3,1,4,5] => [1,5,4,6,3,2] => [1,3,6,5,4,2] => 0
[5,4,1,3,6,2] => [2,6,3,1,4,5] => [5,1,4,6,3,2] => [5,3,6,1,4,2] => 1
[5,4,1,6,2,3] => [3,2,6,1,4,5] => [4,5,1,6,3,2] => [5,3,6,4,1,2] => 0
[5,4,1,6,3,2] => [2,3,6,1,4,5] => [5,4,1,6,3,2] => [4,3,5,6,2,1] => 0
[5,4,2,1,3,6] => [6,3,1,2,4,5] => [1,4,6,5,3,2] => [1,3,5,4,6,2] => 0
[5,4,2,1,6,3] => [3,6,1,2,4,5] => [4,1,6,5,3,2] => [4,3,5,1,6,2] => 0
[5,4,2,3,1,6] => [6,1,3,2,4,5] => [1,6,4,5,3,2] => [1,3,5,6,4,2] => 1
[5,4,2,3,6,1] => [1,6,3,2,4,5] => [6,1,4,5,3,2] => [6,3,5,1,4,2] => 2
[5,4,2,6,1,3] => [3,1,6,2,4,5] => [4,6,1,5,3,2] => [6,3,5,4,1,2] => 1
[5,4,2,6,3,1] => [1,3,6,2,4,5] => [6,4,1,5,3,2] => [4,3,6,5,2,1] => 1
[5,4,3,1,2,6] => [6,2,1,3,4,5] => [1,5,6,4,3,2] => [1,3,4,6,5,2] => 0
[5,4,3,1,6,2] => [2,6,1,3,4,5] => [5,1,6,4,3,2] => [5,3,4,6,1,2] => 0
[5,4,3,2,1,6] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => [1,3,4,5,6,2] => 0
[5,4,3,2,6,1] => [1,6,2,3,4,5] => [6,1,5,4,3,2] => [6,3,4,5,1,2] => 1
[5,4,3,6,1,2] => [2,1,6,3,4,5] => [5,6,1,4,3,2] => [6,3,4,1,5,2] => 1
[5,4,3,6,2,1] => [1,2,6,3,4,5] => [6,5,1,4,3,2] => [5,3,4,1,6,2] => 1
[5,4,6,1,2,3] => [3,2,1,6,4,5] => [4,5,6,1,3,2] => [6,3,1,4,5,2] => 1
[5,4,6,1,3,2] => [2,3,1,6,4,5] => [5,4,6,1,3,2] => [6,3,1,5,4,2] => 1
[5,4,6,2,1,3] => [3,1,2,6,4,5] => [4,6,5,1,3,2] => [5,3,1,4,6,2] => 1
[5,4,6,2,3,1] => [1,3,2,6,4,5] => [6,4,5,1,3,2] => [5,3,1,6,4,2] => 2
[5,4,6,3,1,2] => [2,1,3,6,4,5] => [5,6,4,1,3,2] => [4,3,1,6,5,2] => 1
[5,4,6,3,2,1] => [1,2,3,6,4,5] => [6,5,4,1,3,2] => [4,3,1,5,6,2] => 1
[5,6,1,2,3,4] => [4,3,2,1,6,5] => [3,4,5,6,1,2] => [6,1,3,4,5,2] => 1
[5,6,1,2,4,3] => [3,4,2,1,6,5] => [4,3,5,6,1,2] => [6,1,4,3,5,2] => 1
[5,6,1,3,2,4] => [4,2,3,1,6,5] => [3,5,4,6,1,2] => [6,1,3,5,4,2] => 1
[5,6,1,3,4,2] => [2,4,3,1,6,5] => [5,3,4,6,1,2] => [6,1,5,3,4,2] => 2
[5,6,1,4,2,3] => [3,2,4,1,6,5] => [4,5,3,6,1,2] => [6,1,5,4,3,2] => 1
[5,6,1,4,3,2] => [2,3,4,1,6,5] => [5,4,3,6,1,2] => [6,1,4,5,3,2] => 1
[5,6,2,1,3,4] => [4,3,1,2,6,5] => [3,4,6,5,1,2] => [5,1,3,4,6,2] => 1
[5,6,2,1,4,3] => [3,4,1,2,6,5] => [4,3,6,5,1,2] => [5,1,4,3,6,2] => 1
[5,6,2,3,1,4] => [4,1,3,2,6,5] => [3,6,4,5,1,2] => [5,1,3,6,4,2] => 2
[5,6,2,3,4,1] => [1,4,3,2,6,5] => [6,3,4,5,1,2] => [5,1,6,3,4,2] => 3
[5,6,2,4,1,3] => [3,1,4,2,6,5] => [4,6,3,5,1,2] => [5,1,6,4,3,2] => 2
[5,6,2,4,3,1] => [1,3,4,2,6,5] => [6,4,3,5,1,2] => [5,1,4,6,3,2] => 2
[5,6,3,1,2,4] => [4,2,1,3,6,5] => [3,5,6,4,1,2] => [4,1,3,6,5,2] => 1
[5,6,3,1,4,2] => [2,4,1,3,6,5] => [5,3,6,4,1,2] => [4,1,6,5,2,3] => 1
[5,6,3,2,1,4] => [4,1,2,3,6,5] => [3,6,5,4,1,2] => [4,1,3,5,6,2] => 1
[5,6,3,2,4,1] => [1,4,2,3,6,5] => [6,3,5,4,1,2] => [4,1,5,6,2,3] => 2
[5,6,3,4,1,2] => [2,1,4,3,6,5] => [5,6,3,4,1,2] => [4,1,6,3,5,2] => 2
[5,6,3,4,2,1] => [1,2,4,3,6,5] => [6,5,3,4,1,2] => [4,1,5,3,6,2] => 2
[5,6,4,1,2,3] => [3,2,1,4,6,5] => [4,5,6,3,1,2] => [3,1,6,4,5,2] => 1
[5,6,4,1,3,2] => [2,3,1,4,6,5] => [5,4,6,3,1,2] => [3,1,6,5,4,2] => 1
[5,6,4,2,1,3] => [3,1,2,4,6,5] => [4,6,5,3,1,2] => [3,1,5,4,6,2] => 1
[5,6,4,2,3,1] => [1,3,2,4,6,5] => [6,4,5,3,1,2] => [3,1,5,6,4,2] => 2
[5,6,4,3,1,2] => [2,1,3,4,6,5] => [5,6,4,3,1,2] => [3,1,4,6,5,2] => 1
[5,6,4,3,2,1] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [3,1,4,5,6,2] => 1
[6,1,2,3,4,5] => [5,4,3,2,1,6] => [2,3,4,5,6,1] => [6,2,3,4,5,1] => 0
[6,1,2,3,5,4] => [4,5,3,2,1,6] => [3,2,4,5,6,1] => [6,3,2,4,5,1] => 0
[6,1,2,4,3,5] => [5,3,4,2,1,6] => [2,4,3,5,6,1] => [6,2,4,3,5,1] => 0
[6,1,2,4,5,3] => [3,5,4,2,1,6] => [4,2,3,5,6,1] => [6,4,2,3,5,1] => 1
[6,1,2,5,3,4] => [4,3,5,2,1,6] => [3,4,2,5,6,1] => [6,4,3,2,5,1] => 0
[6,1,2,5,4,3] => [3,4,5,2,1,6] => [4,3,2,5,6,1] => [6,3,4,2,5,1] => 0
[6,1,3,2,4,5] => [5,4,2,3,1,6] => [2,3,5,4,6,1] => [6,2,3,5,4,1] => 0
[6,1,3,2,5,4] => [4,5,2,3,1,6] => [3,2,5,4,6,1] => [6,3,2,5,4,1] => 0
[6,1,3,4,2,5] => [5,2,4,3,1,6] => [2,5,3,4,6,1] => [6,2,5,3,4,1] => 1
[6,1,3,4,5,2] => [2,5,4,3,1,6] => [5,2,3,4,6,1] => [6,5,2,3,4,1] => 2
[6,1,3,5,2,4] => [4,2,5,3,1,6] => [3,5,2,4,6,1] => [6,5,3,2,4,1] => 1
[6,1,3,5,4,2] => [2,4,5,3,1,6] => [5,3,2,4,6,1] => [6,3,5,2,4,1] => 1
[6,1,4,2,3,5] => [5,3,2,4,1,6] => [2,4,5,3,6,1] => [6,2,5,4,3,1] => 0
[6,1,4,2,5,3] => [3,5,2,4,1,6] => [4,2,5,3,6,1] => [6,4,5,2,3,1] => 0
[6,1,4,3,2,5] => [5,2,3,4,1,6] => [2,5,4,3,6,1] => [6,2,4,5,3,1] => 0
[6,1,4,3,5,2] => [2,5,3,4,1,6] => [5,2,4,3,6,1] => [6,5,4,2,3,1] => 1
[6,1,4,5,2,3] => [3,2,5,4,1,6] => [4,5,2,3,6,1] => [6,5,2,4,3,1] => 1
[6,1,4,5,3,2] => [2,3,5,4,1,6] => [5,4,2,3,6,1] => [6,4,2,5,3,1] => 1
[6,1,5,2,3,4] => [4,3,2,5,1,6] => [3,4,5,2,6,1] => [6,5,3,4,2,1] => 0
[6,1,5,2,4,3] => [3,4,2,5,1,6] => [4,3,5,2,6,1] => [6,5,4,3,2,1] => 0
[6,1,5,3,2,4] => [4,2,3,5,1,6] => [3,5,4,2,6,1] => [6,4,3,5,2,1] => 0
[6,1,5,3,4,2] => [2,4,3,5,1,6] => [5,3,4,2,6,1] => [6,4,5,3,2,1] => 1
[6,1,5,4,2,3] => [3,2,4,5,1,6] => [4,5,3,2,6,1] => [6,3,5,4,2,1] => 0
[6,1,5,4,3,2] => [2,3,4,5,1,6] => [5,4,3,2,6,1] => [6,3,4,5,2,1] => 0
[6,2,1,3,4,5] => [5,4,3,1,2,6] => [2,3,4,6,5,1] => [5,2,3,4,6,1] => 0
[6,2,1,3,5,4] => [4,5,3,1,2,6] => [3,2,4,6,5,1] => [5,3,2,4,6,1] => 0
[6,2,1,4,3,5] => [5,3,4,1,2,6] => [2,4,3,6,5,1] => [5,2,4,3,6,1] => 0
[6,2,1,4,5,3] => [3,5,4,1,2,6] => [4,2,3,6,5,1] => [5,4,2,3,6,1] => 1
[6,2,1,5,3,4] => [4,3,5,1,2,6] => [3,4,2,6,5,1] => [5,4,3,2,6,1] => 0
[6,2,1,5,4,3] => [3,4,5,1,2,6] => [4,3,2,6,5,1] => [5,3,4,2,6,1] => 0
[6,2,3,1,4,5] => [5,4,1,3,2,6] => [2,3,6,4,5,1] => [5,2,3,6,4,1] => 1
[6,2,3,1,5,4] => [4,5,1,3,2,6] => [3,2,6,4,5,1] => [5,3,2,6,4,1] => 1
[6,2,3,4,1,5] => [5,1,4,3,2,6] => [2,6,3,4,5,1] => [5,2,6,3,4,1] => 2
[6,2,3,4,5,1] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [5,6,2,3,4,1] => 3
[6,2,3,5,1,4] => [4,1,5,3,2,6] => [3,6,2,4,5,1] => [5,6,3,2,4,1] => 2
[6,2,3,5,4,1] => [1,4,5,3,2,6] => [6,3,2,4,5,1] => [5,3,6,2,4,1] => 2
[6,2,4,1,3,5] => [5,3,1,4,2,6] => [2,4,6,3,5,1] => [5,2,6,4,3,1] => 1
[6,2,4,1,5,3] => [3,5,1,4,2,6] => [4,2,6,3,5,1] => [5,4,6,2,3,1] => 1
[6,2,4,3,1,5] => [5,1,3,4,2,6] => [2,6,4,3,5,1] => [5,2,4,6,3,1] => 1
[6,2,4,3,5,1] => [1,5,3,4,2,6] => [6,2,4,3,5,1] => [5,6,4,2,3,1] => 2
[6,2,4,5,1,3] => [3,1,5,4,2,6] => [4,6,2,3,5,1] => [5,6,2,4,3,1] => 2
[6,2,4,5,3,1] => [1,3,5,4,2,6] => [6,4,2,3,5,1] => [5,4,2,6,3,1] => 2
[6,2,5,1,3,4] => [4,3,1,5,2,6] => [3,4,6,2,5,1] => [5,6,3,4,2,1] => 1
[6,2,5,1,4,3] => [3,4,1,5,2,6] => [4,3,6,2,5,1] => [5,6,4,3,2,1] => 1
[6,2,5,3,1,4] => [4,1,3,5,2,6] => [3,6,4,2,5,1] => [5,4,3,6,2,1] => 1
[6,2,5,3,4,1] => [1,4,3,5,2,6] => [6,3,4,2,5,1] => [5,4,6,3,2,1] => 2
[6,2,5,4,1,3] => [3,1,4,5,2,6] => [4,6,3,2,5,1] => [5,3,6,4,2,1] => 1
[6,2,5,4,3,1] => [1,3,4,5,2,6] => [6,4,3,2,5,1] => [5,3,4,6,2,1] => 1
[6,3,1,2,4,5] => [5,4,2,1,3,6] => [2,3,5,6,4,1] => [4,2,3,6,5,1] => 0
[6,3,1,2,5,4] => [4,5,2,1,3,6] => [3,2,5,6,4,1] => [4,3,2,6,5,1] => 0
[6,3,1,4,2,5] => [5,2,4,1,3,6] => [2,5,3,6,4,1] => [4,2,6,5,1,3] => 0
[6,3,1,4,5,2] => [2,5,4,1,3,6] => [5,2,3,6,4,1] => [4,6,2,5,1,3] => 1
[6,3,1,5,2,4] => [4,2,5,1,3,6] => [3,5,2,6,4,1] => [4,6,3,5,1,2] => 0
[6,3,1,5,4,2] => [2,4,5,1,3,6] => [5,3,2,6,4,1] => [4,3,6,5,1,2] => 0
[6,3,2,1,4,5] => [5,4,1,2,3,6] => [2,3,6,5,4,1] => [4,2,3,5,6,1] => 0
[6,3,2,1,5,4] => [4,5,1,2,3,6] => [3,2,6,5,4,1] => [4,3,2,5,6,1] => 0
[6,3,2,4,1,5] => [5,1,4,2,3,6] => [2,6,3,5,4,1] => [4,2,5,6,1,3] => 1
[6,3,2,4,5,1] => [1,5,4,2,3,6] => [6,2,3,5,4,1] => [4,5,2,6,1,3] => 2
[6,3,2,5,1,4] => [4,1,5,2,3,6] => [3,6,2,5,4,1] => [4,5,3,6,1,2] => 1
[6,3,2,5,4,1] => [1,4,5,2,3,6] => [6,3,2,5,4,1] => [4,3,5,6,1,2] => 1
[6,3,4,1,2,5] => [5,2,1,4,3,6] => [2,5,6,3,4,1] => [4,2,6,3,5,1] => 1
[6,3,4,1,5,2] => [2,5,1,4,3,6] => [5,2,6,3,4,1] => [4,5,6,3,2,1] => 1
[6,3,4,2,1,5] => [5,1,2,4,3,6] => [2,6,5,3,4,1] => [4,2,5,3,6,1] => 1
[6,3,4,2,5,1] => [1,5,2,4,3,6] => [6,2,5,3,4,1] => [4,6,5,3,2,1] => 2
[6,3,4,5,1,2] => [2,1,5,4,3,6] => [5,6,2,3,4,1] => [4,6,2,3,5,1] => 2
[6,3,4,5,2,1] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [4,5,2,3,6,1] => 2
[6,3,5,1,2,4] => [4,2,1,5,3,6] => [3,5,6,2,4,1] => [4,6,3,2,5,1] => 1
[6,3,5,1,4,2] => [2,4,1,5,3,6] => [5,3,6,2,4,1] => [4,6,5,2,3,1] => 1
[6,3,5,2,1,4] => [4,1,2,5,3,6] => [3,6,5,2,4,1] => [4,5,3,2,6,1] => 1
[6,3,5,2,4,1] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [4,5,6,2,3,1] => 2
[6,3,5,4,1,2] => [2,1,4,5,3,6] => [5,6,3,2,4,1] => [4,3,6,2,5,1] => 1
[6,3,5,4,2,1] => [1,2,4,5,3,6] => [6,5,3,2,4,1] => [4,3,5,2,6,1] => 1
[6,4,1,2,3,5] => [5,3,2,1,4,6] => [2,4,5,6,3,1] => [3,2,6,4,5,1] => 0
[6,4,1,2,5,3] => [3,5,2,1,4,6] => [4,2,5,6,3,1] => [3,6,4,1,5,2] => 0
[6,4,1,3,2,5] => [5,2,3,1,4,6] => [2,5,4,6,3,1] => [3,2,6,5,4,1] => 0
[6,4,1,3,5,2] => [2,5,3,1,4,6] => [5,2,4,6,3,1] => [3,6,5,2,1,4] => 1
[6,4,1,5,2,3] => [3,2,5,1,4,6] => [4,5,2,6,3,1] => [3,6,5,4,1,2] => 0
[6,4,1,5,3,2] => [2,3,5,1,4,6] => [5,4,2,6,3,1] => [3,6,4,5,1,2] => 0
[6,4,2,1,3,5] => [5,3,1,2,4,6] => [2,4,6,5,3,1] => [3,2,5,4,6,1] => 0
[6,4,2,1,5,3] => [3,5,1,2,4,6] => [4,2,6,5,3,1] => [3,5,4,1,6,2] => 0
[6,4,2,3,1,5] => [5,1,3,2,4,6] => [2,6,4,5,3,1] => [3,2,5,6,4,1] => 1
[6,4,2,3,5,1] => [1,5,3,2,4,6] => [6,2,4,5,3,1] => [3,5,6,2,1,4] => 2
[6,4,2,5,1,3] => [3,1,5,2,4,6] => [4,6,2,5,3,1] => [3,5,6,4,1,2] => 1
[6,4,2,5,3,1] => [1,3,5,2,4,6] => [6,4,2,5,3,1] => [3,5,4,6,1,2] => 1
[6,4,3,1,2,5] => [5,2,1,3,4,6] => [2,5,6,4,3,1] => [3,2,4,6,5,1] => 0
[6,4,3,1,5,2] => [2,5,1,3,4,6] => [5,2,6,4,3,1] => [3,4,6,5,2,1] => 0
[6,4,3,2,1,5] => [5,1,2,3,4,6] => [2,6,5,4,3,1] => [3,2,4,5,6,1] => 0
[6,4,3,2,5,1] => [1,5,2,3,4,6] => [6,2,5,4,3,1] => [3,4,5,6,2,1] => 1
[6,4,3,5,1,2] => [2,1,5,3,4,6] => [5,6,2,4,3,1] => [3,4,6,1,5,2] => 1
[6,4,3,5,2,1] => [1,2,5,3,4,6] => [6,5,2,4,3,1] => [3,4,5,1,6,2] => 1
[6,4,5,1,2,3] => [3,2,1,5,4,6] => [4,5,6,2,3,1] => [3,6,2,4,5,1] => 1
[6,4,5,1,3,2] => [2,3,1,5,4,6] => [5,4,6,2,3,1] => [3,6,2,5,4,1] => 1
[6,4,5,2,1,3] => [3,1,2,5,4,6] => [4,6,5,2,3,1] => [3,5,2,4,6,1] => 1
[6,4,5,2,3,1] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [3,5,2,6,4,1] => 2
[6,4,5,3,1,2] => [2,1,3,5,4,6] => [5,6,4,2,3,1] => [3,4,2,6,5,1] => 1
[6,4,5,3,2,1] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [3,4,2,5,6,1] => 1
[6,5,1,2,3,4] => [4,3,2,1,5,6] => [3,4,5,6,2,1] => [2,6,3,4,5,1] => 0
[6,5,1,2,4,3] => [3,4,2,1,5,6] => [4,3,5,6,2,1] => [2,6,4,3,5,1] => 0
[6,5,1,3,2,4] => [4,2,3,1,5,6] => [3,5,4,6,2,1] => [2,6,3,5,4,1] => 0
[6,5,1,3,4,2] => [2,4,3,1,5,6] => [5,3,4,6,2,1] => [2,6,5,3,4,1] => 1
[6,5,1,4,2,3] => [3,2,4,1,5,6] => [4,5,3,6,2,1] => [2,6,5,4,3,1] => 0
[6,5,1,4,3,2] => [2,3,4,1,5,6] => [5,4,3,6,2,1] => [2,6,4,5,3,1] => 0
[6,5,2,1,3,4] => [4,3,1,2,5,6] => [3,4,6,5,2,1] => [2,5,3,4,6,1] => 0
[6,5,2,1,4,3] => [3,4,1,2,5,6] => [4,3,6,5,2,1] => [2,5,4,3,6,1] => 0
[6,5,2,3,1,4] => [4,1,3,2,5,6] => [3,6,4,5,2,1] => [2,5,3,6,4,1] => 1
[6,5,2,3,4,1] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [2,5,6,3,4,1] => 2
[6,5,2,4,1,3] => [3,1,4,2,5,6] => [4,6,3,5,2,1] => [2,5,6,4,3,1] => 1
[6,5,2,4,3,1] => [1,3,4,2,5,6] => [6,4,3,5,2,1] => [2,5,4,6,3,1] => 1
[6,5,3,1,2,4] => [4,2,1,3,5,6] => [3,5,6,4,2,1] => [2,4,3,6,5,1] => 0
[6,5,3,1,4,2] => [2,4,1,3,5,6] => [5,3,6,4,2,1] => [2,4,6,5,1,3] => 0
[6,5,3,2,1,4] => [4,1,2,3,5,6] => [3,6,5,4,2,1] => [2,4,3,5,6,1] => 0
[6,5,3,2,4,1] => [1,4,2,3,5,6] => [6,3,5,4,2,1] => [2,4,5,6,1,3] => 1
[6,5,3,4,1,2] => [2,1,4,3,5,6] => [5,6,3,4,2,1] => [2,4,6,3,5,1] => 1
[6,5,3,4,2,1] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [2,4,5,3,6,1] => 1
[6,5,4,1,2,3] => [3,2,1,4,5,6] => [4,5,6,3,2,1] => [2,3,6,4,5,1] => 0
[6,5,4,1,3,2] => [2,3,1,4,5,6] => [5,4,6,3,2,1] => [2,3,6,5,4,1] => 0
[6,5,4,2,1,3] => [3,1,2,4,5,6] => [4,6,5,3,2,1] => [2,3,5,4,6,1] => 0
[6,5,4,2,3,1] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [2,3,5,6,4,1] => 1
[6,5,4,3,1,2] => [2,1,3,4,5,6] => [5,6,4,3,2,1] => [2,3,4,6,5,1] => 0
[6,5,4,3,2,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [2,3,4,5,6,1] => 0
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Description
The cycle descent number of a permutation.
Let (i1,,ik) be a cycle of a permutation π such that i1 is its smallest element. A **cycle descent** of (i1,,ik) is an ia for 1a<k such that ia>ia+1. The **cycle descent set** of π is then the set of descents in all the cycles of π, and the **cycle descent number** is its cardinality.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation σ of length n is the permutation τ with τ(i)=n+1σ(i)
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation σ of length n is given by τ with τ(i)=σ(n+1i).
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation σ is a pair i<j such that i<σ(j)<σ(i). The element σ(j) is then an invisible inversion bottom.
A descent view in a permutation π is an element π(j) such that π(i+1)<π(j)<π(i), and additionally the smallest element in the decreasing run containing π(i) is smaller than the smallest element in the decreasing run containing π(j).
This map is a bijection χ:SnSn, such that
  • the multiset of descent views in π is the multiset of invisible inversion bottoms in χ(π),
  • the set of left-to-right maximima of π is the set of maximal elements in the cycles of χ(π),
  • the set of global ascent of π is the set of global ascent of χ(π),
  • the set of maximal elements in the decreasing runs of π is the set of deficiency positions of χ(π), and
  • the set of minimal elements in the decreasing runs of π is the set of deficiency values of χ(π).