Identifier
Values
[1] => [1] => [1] => 0
[1,2] => [1,2] => [1,2] => 0
[2,1] => [2,1] => [2,1] => 1
[1,2,3] => [1,2,3] => [1,2,3] => 0
[1,3,2] => [1,3,2] => [3,1,2] => 1
[2,1,3] => [2,1,3] => [2,1,3] => 1
[2,3,1] => [3,2,1] => [3,2,1] => 3
[3,1,2] => [3,1,2] => [1,3,2] => 2
[3,2,1] => [2,3,1] => [2,3,1] => 2
[1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[1,2,4,3] => [1,2,4,3] => [4,1,2,3] => 1
[1,3,2,4] => [1,3,2,4] => [3,1,2,4] => 1
[1,3,4,2] => [1,4,3,2] => [4,3,1,2] => 3
[1,4,2,3] => [1,4,2,3] => [1,4,2,3] => 2
[1,4,3,2] => [1,3,4,2] => [3,4,1,2] => 2
[2,1,3,4] => [2,1,3,4] => [2,1,3,4] => 1
[2,1,4,3] => [2,1,4,3] => [2,4,1,3] => 2
[2,3,1,4] => [3,2,1,4] => [3,2,1,4] => 3
[2,3,4,1] => [4,2,3,1] => [2,4,3,1] => 5
[2,4,1,3] => [4,2,1,3] => [2,1,4,3] => 4
[2,4,3,1] => [3,2,4,1] => [3,2,4,1] => 4
[3,1,2,4] => [3,1,2,4] => [1,3,2,4] => 2
[3,1,4,2] => [4,3,1,2] => [1,4,3,2] => 5
[3,2,1,4] => [2,3,1,4] => [2,3,1,4] => 2
[3,2,4,1] => [4,3,2,1] => [4,3,2,1] => 6
[3,4,1,2] => [4,1,3,2] => [4,1,3,2] => 4
[3,4,2,1] => [2,4,3,1] => [4,2,3,1] => 4
[4,1,2,3] => [4,1,2,3] => [1,2,4,3] => 3
[4,1,3,2] => [3,4,1,2] => [3,1,4,2] => 4
[4,2,1,3] => [2,4,1,3] => [4,2,1,3] => 3
[4,2,3,1] => [3,4,2,1] => [3,4,2,1] => 5
[4,3,1,2] => [3,1,4,2] => [1,3,4,2] => 3
[4,3,2,1] => [2,3,4,1] => [2,3,4,1] => 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] => [5,1,2,3,4] => 1
[1,2,4,3,5] => [1,2,4,3,5] => [4,1,2,3,5] => 1
[1,2,4,5,3] => [1,2,5,4,3] => [5,4,1,2,3] => 3
[1,2,5,3,4] => [1,2,5,3,4] => [1,5,2,3,4] => 2
[1,2,5,4,3] => [1,2,4,5,3] => [4,5,1,2,3] => 2
[1,3,2,4,5] => [1,3,2,4,5] => [3,1,2,4,5] => 1
[1,3,2,5,4] => [1,3,2,5,4] => [3,5,1,2,4] => 2
[1,3,4,2,5] => [1,4,3,2,5] => [4,3,1,2,5] => 3
[1,3,4,5,2] => [1,5,3,4,2] => [3,5,4,1,2] => 5
[1,3,5,2,4] => [1,5,3,2,4] => [5,1,3,2,4] => 4
[1,3,5,4,2] => [1,4,3,5,2] => [4,3,5,1,2] => 4
[1,4,2,3,5] => [1,4,2,3,5] => [1,4,2,3,5] => 2
[1,4,2,5,3] => [1,5,4,2,3] => [1,5,4,2,3] => 5
[1,4,3,2,5] => [1,3,4,2,5] => [3,4,1,2,5] => 2
[1,4,3,5,2] => [1,5,4,3,2] => [5,4,3,1,2] => 6
[1,4,5,2,3] => [1,5,2,4,3] => [5,1,4,2,3] => 4
[1,4,5,3,2] => [1,3,5,4,2] => [5,3,4,1,2] => 4
[1,5,2,3,4] => [1,5,2,3,4] => [1,2,5,3,4] => 3
[1,5,2,4,3] => [1,4,5,2,3] => [4,1,5,2,3] => 4
[1,5,3,2,4] => [1,3,5,2,4] => [5,3,1,2,4] => 3
[1,5,3,4,2] => [1,4,5,3,2] => [4,5,3,1,2] => 5
[1,5,4,2,3] => [1,4,2,5,3] => [1,4,5,2,3] => 3
[1,5,4,3,2] => [1,3,4,5,2] => [3,4,5,1,2] => 3
[2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => 1
[2,1,3,5,4] => [2,1,3,5,4] => [2,5,1,3,4] => 2
[2,1,4,3,5] => [2,1,4,3,5] => [2,4,1,3,5] => 2
[2,1,4,5,3] => [2,1,5,4,3] => [5,2,4,1,3] => 4
[2,1,5,3,4] => [2,1,5,3,4] => [5,2,1,3,4] => 3
[2,1,5,4,3] => [2,1,4,5,3] => [2,4,5,1,3] => 3
[2,3,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => 3
[2,3,1,5,4] => [3,2,1,5,4] => [3,2,5,1,4] => 4
[2,3,4,1,5] => [4,2,3,1,5] => [2,4,3,1,5] => 5
[2,3,4,5,1] => [5,2,3,4,1] => [2,3,5,4,1] => 7
[2,3,5,1,4] => [5,2,3,1,4] => [2,3,1,5,4] => 6
[2,3,5,4,1] => [4,2,3,5,1] => [2,4,3,5,1] => 6
[2,4,1,3,5] => [4,2,1,3,5] => [2,1,4,3,5] => 4
[2,4,1,5,3] => [5,2,4,1,3] => [5,2,1,4,3] => 7
[2,4,3,1,5] => [3,2,4,1,5] => [3,2,4,1,5] => 4
[2,4,3,5,1] => [5,2,4,3,1] => [5,2,4,3,1] => 8
[2,4,5,1,3] => [5,2,1,4,3] => [2,5,1,4,3] => 6
[2,4,5,3,1] => [3,2,5,4,1] => [3,5,2,4,1] => 6
[2,5,1,3,4] => [5,2,1,3,4] => [2,1,3,5,4] => 5
[2,5,1,4,3] => [4,2,5,1,3] => [2,4,1,5,3] => 6
[2,5,3,1,4] => [3,2,5,1,4] => [3,5,2,1,4] => 5
[2,5,3,4,1] => [4,2,5,3,1] => [2,4,5,3,1] => 7
[2,5,4,1,3] => [4,2,1,5,3] => [2,1,4,5,3] => 5
[2,5,4,3,1] => [3,2,4,5,1] => [3,2,4,5,1] => 5
[3,1,2,4,5] => [3,1,2,4,5] => [1,3,2,4,5] => 2
[3,1,2,5,4] => [3,1,2,5,4] => [1,3,5,2,4] => 3
[3,1,4,2,5] => [4,3,1,2,5] => [1,4,3,2,5] => 5
[3,1,4,5,2] => [5,3,1,4,2] => [1,3,5,4,2] => 7
[3,1,5,2,4] => [5,3,1,2,4] => [1,3,2,5,4] => 6
[3,1,5,4,2] => [4,3,1,5,2] => [1,4,3,5,2] => 6
[3,2,1,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => 2
[3,2,1,5,4] => [2,3,1,5,4] => [2,3,5,1,4] => 3
[3,2,4,1,5] => [4,3,2,1,5] => [4,3,2,1,5] => 6
[3,2,4,5,1] => [5,3,2,4,1] => [3,2,5,4,1] => 8
[3,2,5,1,4] => [5,3,2,1,4] => [3,2,1,5,4] => 7
[3,2,5,4,1] => [4,3,2,5,1] => [4,3,2,5,1] => 7
[3,4,1,2,5] => [4,1,3,2,5] => [4,1,3,2,5] => 4
[3,4,1,5,2] => [5,4,3,1,2] => [1,5,4,3,2] => 9
[3,4,2,1,5] => [2,4,3,1,5] => [4,2,3,1,5] => 4
[3,4,2,5,1] => [5,4,3,2,1] => [5,4,3,2,1] => 10
[3,4,5,1,2] => [5,1,3,4,2] => [1,5,3,4,2] => 6
[3,4,5,2,1] => [2,5,3,4,1] => [2,5,3,4,1] => 6
[3,5,1,2,4] => [5,1,3,2,4] => [3,1,2,5,4] => 5
[3,5,1,4,2] => [4,5,3,1,2] => [4,1,5,3,2] => 8
>>> Load all 874 entries. <<<
[3,5,2,1,4] => [2,5,3,1,4] => [2,5,3,1,4] => 5
[3,5,2,4,1] => [4,5,3,2,1] => [4,5,3,2,1] => 9
[3,5,4,1,2] => [4,1,3,5,2] => [4,1,3,5,2] => 5
[3,5,4,2,1] => [2,4,3,5,1] => [4,2,3,5,1] => 5
[4,1,2,3,5] => [4,1,2,3,5] => [1,2,4,3,5] => 3
[4,1,2,5,3] => [5,1,4,2,3] => [1,5,2,4,3] => 6
[4,1,3,2,5] => [3,4,1,2,5] => [3,1,4,2,5] => 4
[4,1,3,5,2] => [5,4,1,3,2] => [5,1,4,3,2] => 8
[4,1,5,2,3] => [5,4,1,2,3] => [1,2,5,4,3] => 7
[4,1,5,3,2] => [3,5,4,1,2] => [5,3,1,4,2] => 7
[4,2,1,3,5] => [2,4,1,3,5] => [4,2,1,3,5] => 3
[4,2,1,5,3] => [2,5,4,1,3] => [5,4,2,1,3] => 6
[4,2,3,1,5] => [3,4,2,1,5] => [3,4,2,1,5] => 5
[4,2,3,5,1] => [5,4,2,3,1] => [2,5,4,3,1] => 9
[4,2,5,1,3] => [5,4,2,1,3] => [2,1,5,4,3] => 8
[4,2,5,3,1] => [3,5,4,2,1] => [5,3,4,2,1] => 8
[4,3,1,2,5] => [3,1,4,2,5] => [1,3,4,2,5] => 3
[4,3,1,5,2] => [5,3,4,1,2] => [3,1,5,4,2] => 8
[4,3,2,1,5] => [2,3,4,1,5] => [2,3,4,1,5] => 3
[4,3,2,5,1] => [5,3,4,2,1] => [3,5,4,2,1] => 9
[4,3,5,1,2] => [5,1,4,3,2] => [5,4,1,3,2] => 7
[4,3,5,2,1] => [2,5,4,3,1] => [5,4,2,3,1] => 7
[4,5,1,2,3] => [5,1,2,4,3] => [5,1,2,4,3] => 5
[4,5,1,3,2] => [3,5,1,4,2] => [3,5,1,4,2] => 6
[4,5,2,1,3] => [2,5,1,4,3] => [2,5,4,1,3] => 5
[4,5,2,3,1] => [3,5,2,4,1] => [5,3,2,4,1] => 7
[4,5,3,1,2] => [3,1,5,4,2] => [5,1,3,4,2] => 5
[4,5,3,2,1] => [2,3,5,4,1] => [5,2,3,4,1] => 5
[5,1,2,3,4] => [5,1,2,3,4] => [1,2,3,5,4] => 4
[5,1,2,4,3] => [4,1,5,2,3] => [4,1,2,5,3] => 5
[5,1,3,2,4] => [3,5,1,2,4] => [1,5,3,2,4] => 5
[5,1,3,4,2] => [4,5,1,3,2] => [1,4,5,3,2] => 7
[5,1,4,2,3] => [4,5,1,2,3] => [1,4,2,5,3] => 6
[5,1,4,3,2] => [3,4,5,1,2] => [3,4,1,5,2] => 6
[5,2,1,3,4] => [2,5,1,3,4] => [2,1,5,3,4] => 4
[5,2,1,4,3] => [2,4,5,1,3] => [4,5,2,1,3] => 5
[5,2,3,1,4] => [3,5,2,1,4] => [5,3,2,1,4] => 6
[5,2,3,4,1] => [4,5,2,3,1] => [4,2,5,3,1] => 8
[5,2,4,1,3] => [4,5,2,1,3] => [4,2,1,5,3] => 7
[5,2,4,3,1] => [3,4,5,2,1] => [3,4,5,2,1] => 7
[5,3,1,2,4] => [3,1,5,2,4] => [3,1,5,2,4] => 4
[5,3,1,4,2] => [4,3,5,1,2] => [4,3,1,5,2] => 7
[5,3,2,1,4] => [2,3,5,1,4] => [5,2,3,1,4] => 4
[5,3,2,4,1] => [4,3,5,2,1] => [4,3,5,2,1] => 8
[5,3,4,1,2] => [4,1,5,3,2] => [4,5,1,3,2] => 6
[5,3,4,2,1] => [2,4,5,3,1] => [4,5,2,3,1] => 6
[5,4,1,2,3] => [4,1,2,5,3] => [1,2,4,5,3] => 4
[5,4,1,3,2] => [3,4,1,5,2] => [3,1,4,5,2] => 5
[5,4,2,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => 4
[5,4,2,3,1] => [3,4,2,5,1] => [3,4,2,5,1] => 6
[5,4,3,1,2] => [3,1,4,5,2] => [1,3,4,5,2] => 4
[5,4,3,2,1] => [2,3,4,5,1] => [2,3,4,5,1] => 4
[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] => [6,1,2,3,4,5] => 1
[1,2,3,5,4,6] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => 1
[1,2,3,5,6,4] => [1,2,3,6,5,4] => [6,5,1,2,3,4] => 3
[1,2,3,6,4,5] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => 2
[1,2,3,6,5,4] => [1,2,3,5,6,4] => [5,6,1,2,3,4] => 2
[1,2,4,3,5,6] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => 1
[1,2,4,3,6,5] => [1,2,4,3,6,5] => [4,6,1,2,3,5] => 2
[1,2,4,5,3,6] => [1,2,5,4,3,6] => [5,4,1,2,3,6] => 3
[1,2,4,5,6,3] => [1,2,6,4,5,3] => [4,6,5,1,2,3] => 5
[1,2,4,6,3,5] => [1,2,6,4,3,5] => [6,1,4,2,3,5] => 4
[1,2,4,6,5,3] => [1,2,5,4,6,3] => [5,4,6,1,2,3] => 4
[1,2,5,3,4,6] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => 2
[1,2,5,3,6,4] => [1,2,6,5,3,4] => [1,6,5,2,3,4] => 5
[1,2,5,4,3,6] => [1,2,4,5,3,6] => [4,5,1,2,3,6] => 2
[1,2,5,4,6,3] => [1,2,6,5,4,3] => [6,5,4,1,2,3] => 6
[1,2,5,6,3,4] => [1,2,6,3,5,4] => [6,1,5,2,3,4] => 4
[1,2,5,6,4,3] => [1,2,4,6,5,3] => [6,4,5,1,2,3] => 4
[1,2,6,3,4,5] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => 3
[1,2,6,3,5,4] => [1,2,5,6,3,4] => [5,1,6,2,3,4] => 4
[1,2,6,4,3,5] => [1,2,4,6,3,5] => [6,4,1,2,3,5] => 3
[1,2,6,4,5,3] => [1,2,5,6,4,3] => [5,6,4,1,2,3] => 5
[1,2,6,5,3,4] => [1,2,5,3,6,4] => [1,5,6,2,3,4] => 3
[1,2,6,5,4,3] => [1,2,4,5,6,3] => [4,5,6,1,2,3] => 3
[1,3,2,4,5,6] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => 1
[1,3,2,4,6,5] => [1,3,2,4,6,5] => [3,6,1,2,4,5] => 2
[1,3,2,5,4,6] => [1,3,2,5,4,6] => [3,5,1,2,4,6] => 2
[1,3,2,5,6,4] => [1,3,2,6,5,4] => [6,3,5,1,2,4] => 4
[1,3,2,6,4,5] => [1,3,2,6,4,5] => [6,3,1,2,4,5] => 3
[1,3,2,6,5,4] => [1,3,2,5,6,4] => [3,5,6,1,2,4] => 3
[1,3,4,2,5,6] => [1,4,3,2,5,6] => [4,3,1,2,5,6] => 3
[1,3,4,2,6,5] => [1,4,3,2,6,5] => [4,3,6,1,2,5] => 4
[1,3,4,5,2,6] => [1,5,3,4,2,6] => [3,5,4,1,2,6] => 5
[1,3,4,5,6,2] => [1,6,3,4,5,2] => [3,4,6,5,1,2] => 7
[1,3,4,6,2,5] => [1,6,3,4,2,5] => [1,6,3,4,2,5] => 6
[1,3,4,6,5,2] => [1,5,3,4,6,2] => [3,5,4,6,1,2] => 6
[1,3,5,2,4,6] => [1,5,3,2,4,6] => [5,1,3,2,4,6] => 4
[1,3,5,2,6,4] => [1,6,3,5,2,4] => [6,5,1,3,2,4] => 7
[1,3,5,4,2,6] => [1,4,3,5,2,6] => [4,3,5,1,2,6] => 4
[1,3,5,4,6,2] => [1,6,3,5,4,2] => [6,3,5,4,1,2] => 8
[1,3,5,6,2,4] => [1,6,3,2,5,4] => [1,6,3,5,2,4] => 6
[1,3,5,6,4,2] => [1,4,3,6,5,2] => [4,6,3,5,1,2] => 6
[1,3,6,2,4,5] => [1,6,3,2,4,5] => [3,1,2,6,4,5] => 5
[1,3,6,2,5,4] => [1,5,3,6,2,4] => [5,6,1,3,2,4] => 6
[1,3,6,4,2,5] => [1,4,3,6,2,5] => [4,6,3,1,2,5] => 5
[1,3,6,4,5,2] => [1,5,3,6,4,2] => [3,5,6,4,1,2] => 7
[1,3,6,5,2,4] => [1,5,3,2,6,4] => [5,1,3,6,2,4] => 5
[1,3,6,5,4,2] => [1,4,3,5,6,2] => [4,3,5,6,1,2] => 5
[1,4,2,3,5,6] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => 2
[1,4,2,3,6,5] => [1,4,2,3,6,5] => [1,4,6,2,3,5] => 3
[1,4,2,5,3,6] => [1,5,4,2,3,6] => [1,5,4,2,3,6] => 5
[1,4,2,5,6,3] => [1,6,4,2,5,3] => [1,4,6,5,2,3] => 7
[1,4,2,6,3,5] => [1,6,4,2,3,5] => [1,6,2,4,3,5] => 6
[1,4,2,6,5,3] => [1,5,4,2,6,3] => [1,5,4,6,2,3] => 6
[1,4,3,2,5,6] => [1,3,4,2,5,6] => [3,4,1,2,5,6] => 2
[1,4,3,2,6,5] => [1,3,4,2,6,5] => [3,4,6,1,2,5] => 3
[1,4,3,5,2,6] => [1,5,4,3,2,6] => [5,4,3,1,2,6] => 6
[1,4,3,5,6,2] => [1,6,4,3,5,2] => [4,3,6,5,1,2] => 8
[1,4,3,6,2,5] => [1,6,4,3,2,5] => [6,4,1,3,2,5] => 7
[1,4,3,6,5,2] => [1,5,4,3,6,2] => [5,4,3,6,1,2] => 7
[1,4,5,2,3,6] => [1,5,2,4,3,6] => [5,1,4,2,3,6] => 4
[1,4,5,2,6,3] => [1,6,5,4,2,3] => [1,6,5,4,2,3] => 9
[1,4,5,3,2,6] => [1,3,5,4,2,6] => [5,3,4,1,2,6] => 4
[1,4,5,3,6,2] => [1,6,5,4,3,2] => [6,5,4,3,1,2] => 10
[1,4,5,6,2,3] => [1,6,2,4,5,3] => [1,6,4,5,2,3] => 6
[1,4,5,6,3,2] => [1,3,6,4,5,2] => [3,6,4,5,1,2] => 6
[1,4,6,2,3,5] => [1,6,2,4,3,5] => [6,1,2,4,3,5] => 5
[1,4,6,2,5,3] => [1,5,6,4,2,3] => [5,1,6,4,2,3] => 8
[1,4,6,3,2,5] => [1,3,6,4,2,5] => [3,6,4,1,2,5] => 5
[1,4,6,3,5,2] => [1,5,6,4,3,2] => [5,6,4,3,1,2] => 9
[1,4,6,5,2,3] => [1,5,2,4,6,3] => [5,1,4,6,2,3] => 5
[1,4,6,5,3,2] => [1,3,5,4,6,2] => [5,3,4,6,1,2] => 5
[1,5,2,3,4,6] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => 3
[1,5,2,3,6,4] => [1,6,2,5,3,4] => [1,6,2,5,3,4] => 6
[1,5,2,4,3,6] => [1,4,5,2,3,6] => [4,1,5,2,3,6] => 4
[1,5,2,4,6,3] => [1,6,5,2,4,3] => [6,1,5,4,2,3] => 8
[1,5,2,6,3,4] => [1,6,5,2,3,4] => [1,2,6,5,3,4] => 7
[1,5,2,6,4,3] => [1,4,6,5,2,3] => [6,4,1,5,2,3] => 7
[1,5,3,2,4,6] => [1,3,5,2,4,6] => [5,3,1,2,4,6] => 3
[1,5,3,2,6,4] => [1,3,6,5,2,4] => [6,5,3,1,2,4] => 6
[1,5,3,4,2,6] => [1,4,5,3,2,6] => [4,5,3,1,2,6] => 5
[1,5,3,4,6,2] => [1,6,5,3,4,2] => [3,6,5,4,1,2] => 9
[1,5,3,6,2,4] => [1,6,5,3,2,4] => [6,1,5,3,2,4] => 8
[1,5,3,6,4,2] => [1,4,6,5,3,2] => [6,4,5,3,1,2] => 8
[1,5,4,2,3,6] => [1,4,2,5,3,6] => [1,4,5,2,3,6] => 3
[1,5,4,2,6,3] => [1,6,4,5,2,3] => [4,1,6,5,2,3] => 8
[1,5,4,3,2,6] => [1,3,4,5,2,6] => [3,4,5,1,2,6] => 3
[1,5,4,3,6,2] => [1,6,4,5,3,2] => [4,6,5,3,1,2] => 9
[1,5,4,6,2,3] => [1,6,2,5,4,3] => [6,5,1,4,2,3] => 7
[1,5,4,6,3,2] => [1,3,6,5,4,2] => [6,5,3,4,1,2] => 7
[1,5,6,2,3,4] => [1,6,2,3,5,4] => [6,1,2,5,3,4] => 5
[1,5,6,2,4,3] => [1,4,6,2,5,3] => [4,6,1,5,2,3] => 6
[1,5,6,3,2,4] => [1,3,6,2,5,4] => [3,6,5,1,2,4] => 5
[1,5,6,3,4,2] => [1,4,6,3,5,2] => [6,4,3,5,1,2] => 7
[1,5,6,4,2,3] => [1,4,2,6,5,3] => [6,1,4,5,2,3] => 5
[1,5,6,4,3,2] => [1,3,4,6,5,2] => [6,3,4,5,1,2] => 5
[1,6,2,3,4,5] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => 4
[1,6,2,3,5,4] => [1,5,2,6,3,4] => [5,1,2,6,3,4] => 5
[1,6,2,4,3,5] => [1,4,6,2,3,5] => [1,6,4,2,3,5] => 5
[1,6,2,4,5,3] => [1,5,6,2,4,3] => [1,5,6,4,2,3] => 7
[1,6,2,5,3,4] => [1,5,6,2,3,4] => [1,5,2,6,3,4] => 6
[1,6,2,5,4,3] => [1,4,5,6,2,3] => [4,5,1,6,2,3] => 6
[1,6,3,2,4,5] => [1,3,6,2,4,5] => [6,1,3,2,4,5] => 4
[1,6,3,2,5,4] => [1,3,5,6,2,4] => [5,6,3,1,2,4] => 5
[1,6,3,4,2,5] => [1,4,6,3,2,5] => [6,4,3,1,2,5] => 6
[1,6,3,4,5,2] => [1,5,6,3,4,2] => [5,3,6,4,1,2] => 8
[1,6,3,5,2,4] => [1,5,6,3,2,4] => [1,5,6,3,2,4] => 7
[1,6,3,5,4,2] => [1,4,5,6,3,2] => [4,5,6,3,1,2] => 7
[1,6,4,2,3,5] => [1,4,2,6,3,5] => [4,1,6,2,3,5] => 4
[1,6,4,2,5,3] => [1,5,4,6,2,3] => [5,4,1,6,2,3] => 7
[1,6,4,3,2,5] => [1,3,4,6,2,5] => [6,3,4,1,2,5] => 4
[1,6,4,3,5,2] => [1,5,4,6,3,2] => [5,4,6,3,1,2] => 8
[1,6,4,5,2,3] => [1,5,2,6,4,3] => [5,6,1,4,2,3] => 6
[1,6,4,5,3,2] => [1,3,5,6,4,2] => [5,6,3,4,1,2] => 6
[1,6,5,2,3,4] => [1,5,2,3,6,4] => [1,2,5,6,3,4] => 4
[1,6,5,2,4,3] => [1,4,5,2,6,3] => [4,1,5,6,2,3] => 5
[1,6,5,3,2,4] => [1,3,5,2,6,4] => [5,3,6,1,2,4] => 4
[1,6,5,3,4,2] => [1,4,5,3,6,2] => [4,5,3,6,1,2] => 6
[1,6,5,4,2,3] => [1,4,2,5,6,3] => [1,4,5,6,2,3] => 4
[1,6,5,4,3,2] => [1,3,4,5,6,2] => [3,4,5,6,1,2] => 4
[2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => 1
[2,1,3,4,6,5] => [2,1,3,4,6,5] => [2,6,1,3,4,5] => 2
[2,1,3,5,4,6] => [2,1,3,5,4,6] => [2,5,1,3,4,6] => 2
[2,1,3,5,6,4] => [2,1,3,6,5,4] => [6,2,5,1,3,4] => 4
[2,1,3,6,4,5] => [2,1,3,6,4,5] => [6,2,1,3,4,5] => 3
[2,1,3,6,5,4] => [2,1,3,5,6,4] => [2,5,6,1,3,4] => 3
[2,1,4,3,5,6] => [2,1,4,3,5,6] => [2,4,1,3,5,6] => 2
[2,1,4,3,6,5] => [2,1,4,3,6,5] => [2,4,6,1,3,5] => 3
[2,1,4,5,3,6] => [2,1,5,4,3,6] => [5,2,4,1,3,6] => 4
[2,1,4,5,6,3] => [2,1,6,4,5,3] => [2,6,4,5,1,3] => 6
[2,1,4,6,3,5] => [2,1,6,4,3,5] => [2,6,4,1,3,5] => 5
[2,1,4,6,5,3] => [2,1,5,4,6,3] => [5,2,4,6,1,3] => 5
[2,1,5,3,4,6] => [2,1,5,3,4,6] => [5,2,1,3,4,6] => 3
[2,1,5,3,6,4] => [2,1,6,5,3,4] => [6,5,2,1,3,4] => 6
[2,1,5,4,3,6] => [2,1,4,5,3,6] => [2,4,5,1,3,6] => 3
[2,1,5,4,6,3] => [2,1,6,5,4,3] => [6,5,2,4,1,3] => 7
[2,1,5,6,3,4] => [2,1,6,3,5,4] => [2,6,5,1,3,4] => 5
[2,1,5,6,4,3] => [2,1,4,6,5,3] => [6,2,4,5,1,3] => 5
[2,1,6,3,4,5] => [2,1,6,3,4,5] => [2,1,6,3,4,5] => 4
[2,1,6,3,5,4] => [2,1,5,6,3,4] => [5,6,2,1,3,4] => 5
[2,1,6,4,3,5] => [2,1,4,6,3,5] => [6,2,4,1,3,5] => 4
[2,1,6,4,5,3] => [2,1,5,6,4,3] => [5,6,2,4,1,3] => 6
[2,1,6,5,3,4] => [2,1,5,3,6,4] => [5,2,6,1,3,4] => 4
[2,1,6,5,4,3] => [2,1,4,5,6,3] => [2,4,5,6,1,3] => 4
[2,3,1,4,5,6] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => 3
[2,3,1,4,6,5] => [3,2,1,4,6,5] => [3,2,6,1,4,5] => 4
[2,3,1,5,4,6] => [3,2,1,5,4,6] => [3,2,5,1,4,6] => 4
[2,3,1,5,6,4] => [3,2,1,6,5,4] => [3,6,2,5,1,4] => 6
[2,3,1,6,4,5] => [3,2,1,6,4,5] => [3,6,2,1,4,5] => 5
[2,3,1,6,5,4] => [3,2,1,5,6,4] => [3,2,5,6,1,4] => 5
[2,3,4,1,5,6] => [4,2,3,1,5,6] => [2,4,3,1,5,6] => 5
[2,3,4,1,6,5] => [4,2,3,1,6,5] => [2,4,3,6,1,5] => 6
[2,3,4,5,1,6] => [5,2,3,4,1,6] => [2,3,5,4,1,6] => 7
[2,3,4,5,6,1] => [6,2,3,4,5,1] => [2,3,4,6,5,1] => 9
[2,3,4,6,1,5] => [6,2,3,4,1,5] => [2,3,4,1,6,5] => 8
[2,3,4,6,5,1] => [5,2,3,4,6,1] => [2,3,5,4,6,1] => 8
[2,3,5,1,4,6] => [5,2,3,1,4,6] => [2,3,1,5,4,6] => 6
[2,3,5,1,6,4] => [6,2,3,5,1,4] => [6,2,3,1,5,4] => 9
[2,3,5,4,1,6] => [4,2,3,5,1,6] => [2,4,3,5,1,6] => 6
[2,3,5,4,6,1] => [6,2,3,5,4,1] => [6,2,3,5,4,1] => 10
[2,3,5,6,1,4] => [6,2,3,1,5,4] => [2,3,6,1,5,4] => 8
[2,3,5,6,4,1] => [4,2,3,6,5,1] => [2,4,6,3,5,1] => 8
[2,3,6,1,4,5] => [6,2,3,1,4,5] => [2,3,1,4,6,5] => 7
[2,3,6,1,5,4] => [5,2,3,6,1,4] => [2,3,5,1,6,4] => 8
[2,3,6,4,1,5] => [4,2,3,6,1,5] => [2,4,6,3,1,5] => 7
[2,3,6,4,5,1] => [5,2,3,6,4,1] => [2,3,5,6,4,1] => 9
[2,3,6,5,1,4] => [5,2,3,1,6,4] => [2,3,1,5,6,4] => 7
[2,3,6,5,4,1] => [4,2,3,5,6,1] => [2,4,3,5,6,1] => 7
[2,4,1,3,5,6] => [4,2,1,3,5,6] => [2,1,4,3,5,6] => 4
[2,4,1,3,6,5] => [4,2,1,3,6,5] => [2,1,4,6,3,5] => 5
[2,4,1,5,3,6] => [5,2,4,1,3,6] => [5,2,1,4,3,6] => 7
[2,4,1,5,6,3] => [6,2,4,1,5,3] => [2,1,6,4,5,3] => 9
[2,4,1,6,3,5] => [6,2,4,1,3,5] => [4,2,1,3,6,5] => 8
[2,4,1,6,5,3] => [5,2,4,1,6,3] => [5,2,1,4,6,3] => 8
[2,4,3,1,5,6] => [3,2,4,1,5,6] => [3,2,4,1,5,6] => 4
[2,4,3,1,6,5] => [3,2,4,1,6,5] => [3,2,4,6,1,5] => 5
[2,4,3,5,1,6] => [5,2,4,3,1,6] => [5,2,4,3,1,6] => 8
[2,4,3,5,6,1] => [6,2,4,3,5,1] => [4,2,3,6,5,1] => 10
[2,4,3,6,1,5] => [6,2,4,3,1,5] => [4,2,3,1,6,5] => 9
[2,4,3,6,5,1] => [5,2,4,3,6,1] => [5,2,4,3,6,1] => 9
[2,4,5,1,3,6] => [5,2,1,4,3,6] => [2,5,1,4,3,6] => 6
[2,4,5,1,6,3] => [6,2,5,4,1,3] => [6,5,2,1,4,3] => 11
[2,4,5,3,1,6] => [3,2,5,4,1,6] => [3,5,2,4,1,6] => 6
[2,4,5,3,6,1] => [6,2,5,4,3,1] => [6,5,2,4,3,1] => 12
[2,4,5,6,1,3] => [6,2,1,4,5,3] => [6,2,1,4,5,3] => 8
[2,4,5,6,3,1] => [3,2,6,4,5,1] => [6,3,2,4,5,1] => 8
[2,4,6,1,3,5] => [6,2,1,4,3,5] => [2,4,1,3,6,5] => 7
[2,4,6,1,5,3] => [5,2,6,4,1,3] => [5,6,2,1,4,3] => 10
[2,4,6,3,1,5] => [3,2,6,4,1,5] => [6,3,2,4,1,5] => 7
[2,4,6,3,5,1] => [5,2,6,4,3,1] => [5,6,2,4,3,1] => 11
[2,4,6,5,1,3] => [5,2,1,4,6,3] => [2,5,1,4,6,3] => 7
[2,4,6,5,3,1] => [3,2,5,4,6,1] => [3,5,2,4,6,1] => 7
[2,5,1,3,4,6] => [5,2,1,3,4,6] => [2,1,3,5,4,6] => 5
[2,5,1,3,6,4] => [6,2,1,5,3,4] => [6,2,1,3,5,4] => 8
[2,5,1,4,3,6] => [4,2,5,1,3,6] => [2,4,1,5,3,6] => 6
[2,5,1,4,6,3] => [6,2,5,1,4,3] => [2,6,5,1,4,3] => 10
[2,5,1,6,3,4] => [6,2,5,1,3,4] => [2,1,6,3,5,4] => 9
[2,5,1,6,4,3] => [4,2,6,5,1,3] => [6,2,4,1,5,3] => 9
[2,5,3,1,4,6] => [3,2,5,1,4,6] => [3,5,2,1,4,6] => 5
[2,5,3,1,6,4] => [3,2,6,5,1,4] => [6,3,5,2,1,4] => 8
[2,5,3,4,1,6] => [4,2,5,3,1,6] => [2,4,5,3,1,6] => 7
[2,5,3,4,6,1] => [6,2,5,3,4,1] => [2,6,3,5,4,1] => 11
[2,5,3,6,1,4] => [6,2,5,3,1,4] => [2,6,3,1,5,4] => 10
[2,5,3,6,4,1] => [4,2,6,5,3,1] => [6,2,4,5,3,1] => 10
[2,5,4,1,3,6] => [4,2,1,5,3,6] => [2,1,4,5,3,6] => 5
[2,5,4,1,6,3] => [6,2,4,5,1,3] => [2,6,4,1,5,3] => 10
[2,5,4,3,1,6] => [3,2,4,5,1,6] => [3,2,4,5,1,6] => 5
[2,5,4,3,6,1] => [6,2,4,5,3,1] => [2,6,4,5,3,1] => 11
[2,5,4,6,1,3] => [6,2,1,5,4,3] => [6,2,5,1,4,3] => 9
[2,5,4,6,3,1] => [3,2,6,5,4,1] => [6,3,5,2,4,1] => 9
[2,5,6,1,3,4] => [6,2,1,3,5,4] => [2,6,1,3,5,4] => 7
[2,5,6,1,4,3] => [4,2,6,1,5,3] => [2,4,6,1,5,3] => 8
[2,5,6,3,1,4] => [3,2,6,1,5,4] => [6,3,2,5,1,4] => 7
[2,5,6,3,4,1] => [4,2,6,3,5,1] => [4,2,6,3,5,1] => 9
[2,5,6,4,1,3] => [4,2,1,6,5,3] => [2,6,1,4,5,3] => 7
[2,5,6,4,3,1] => [3,2,4,6,5,1] => [3,6,2,4,5,1] => 7
[2,6,1,3,4,5] => [6,2,1,3,4,5] => [2,1,3,4,6,5] => 6
[2,6,1,3,5,4] => [5,2,1,6,3,4] => [2,5,1,3,6,4] => 7
[2,6,1,4,3,5] => [4,2,6,1,3,5] => [4,2,1,6,3,5] => 7
[2,6,1,4,5,3] => [5,2,6,1,4,3] => [5,2,6,1,4,3] => 9
[2,6,1,5,3,4] => [5,2,6,1,3,4] => [5,2,1,3,6,4] => 8
[2,6,1,5,4,3] => [4,2,5,6,1,3] => [2,4,5,1,6,3] => 8
[2,6,3,1,4,5] => [3,2,6,1,4,5] => [6,3,2,1,4,5] => 6
[2,6,3,1,5,4] => [3,2,5,6,1,4] => [3,5,6,2,1,4] => 7
[2,6,3,4,1,5] => [4,2,6,3,1,5] => [4,2,6,3,1,5] => 8
[2,6,3,4,5,1] => [5,2,6,3,4,1] => [5,2,3,6,4,1] => 10
[2,6,3,5,1,4] => [5,2,6,3,1,4] => [5,2,3,1,6,4] => 9
[2,6,3,5,4,1] => [4,2,5,6,3,1] => [2,4,5,6,3,1] => 9
[2,6,4,1,3,5] => [4,2,1,6,3,5] => [2,4,1,6,3,5] => 6
[2,6,4,1,5,3] => [5,2,4,6,1,3] => [5,2,4,1,6,3] => 9
[2,6,4,3,1,5] => [3,2,4,6,1,5] => [3,6,2,4,1,5] => 6
[2,6,4,3,5,1] => [5,2,4,6,3,1] => [5,2,4,6,3,1] => 10
[2,6,4,5,1,3] => [5,2,1,6,4,3] => [2,5,6,1,4,3] => 8
[2,6,4,5,3,1] => [3,2,5,6,4,1] => [3,5,6,2,4,1] => 8
[2,6,5,1,3,4] => [5,2,1,3,6,4] => [2,1,3,5,6,4] => 6
[2,6,5,1,4,3] => [4,2,5,1,6,3] => [2,4,1,5,6,3] => 7
[2,6,5,3,1,4] => [3,2,5,1,6,4] => [3,5,2,6,1,4] => 6
[2,6,5,3,4,1] => [4,2,5,3,6,1] => [2,4,5,3,6,1] => 8
[2,6,5,4,1,3] => [4,2,1,5,6,3] => [2,1,4,5,6,3] => 6
[2,6,5,4,3,1] => [3,2,4,5,6,1] => [3,2,4,5,6,1] => 6
[3,1,2,4,5,6] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => 2
[3,1,2,4,6,5] => [3,1,2,4,6,5] => [1,3,6,2,4,5] => 3
[3,1,2,5,4,6] => [3,1,2,5,4,6] => [1,3,5,2,4,6] => 3
[3,1,2,5,6,4] => [3,1,2,6,5,4] => [6,1,3,5,2,4] => 5
[3,1,2,6,4,5] => [3,1,2,6,4,5] => [3,1,6,2,4,5] => 4
[3,1,2,6,5,4] => [3,1,2,5,6,4] => [1,3,5,6,2,4] => 4
[3,1,4,2,5,6] => [4,3,1,2,5,6] => [1,4,3,2,5,6] => 5
[3,1,4,2,6,5] => [4,3,1,2,6,5] => [1,4,3,6,2,5] => 6
[3,1,4,5,2,6] => [5,3,1,4,2,6] => [1,3,5,4,2,6] => 7
[3,1,4,5,6,2] => [6,3,1,4,5,2] => [1,3,4,6,5,2] => 9
[3,1,4,6,2,5] => [6,3,1,4,2,5] => [1,3,4,2,6,5] => 8
[3,1,4,6,5,2] => [5,3,1,4,6,2] => [1,3,5,4,6,2] => 8
[3,1,5,2,4,6] => [5,3,1,2,4,6] => [1,3,2,5,4,6] => 6
[3,1,5,2,6,4] => [6,3,1,5,2,4] => [3,1,6,2,5,4] => 9
[3,1,5,4,2,6] => [4,3,1,5,2,6] => [1,4,3,5,2,6] => 6
[3,1,5,4,6,2] => [6,3,1,5,4,2] => [6,1,3,5,4,2] => 10
[3,1,5,6,2,4] => [6,3,1,2,5,4] => [1,3,6,2,5,4] => 8
[3,1,5,6,4,2] => [4,3,1,6,5,2] => [1,4,6,3,5,2] => 8
[3,1,6,2,4,5] => [6,3,1,2,4,5] => [1,3,2,4,6,5] => 7
[3,1,6,2,5,4] => [5,3,1,6,2,4] => [1,3,5,2,6,4] => 8
[3,1,6,4,2,5] => [4,3,1,6,2,5] => [4,3,1,6,2,5] => 7
[3,1,6,4,5,2] => [5,3,1,6,4,2] => [1,3,5,6,4,2] => 9
[3,1,6,5,2,4] => [5,3,1,2,6,4] => [1,3,2,5,6,4] => 7
[3,1,6,5,4,2] => [4,3,1,5,6,2] => [1,4,3,5,6,2] => 7
[3,2,1,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => 2
[3,2,1,4,6,5] => [2,3,1,4,6,5] => [2,3,6,1,4,5] => 3
[3,2,1,5,4,6] => [2,3,1,5,4,6] => [2,3,5,1,4,6] => 3
[3,2,1,5,6,4] => [2,3,1,6,5,4] => [6,2,3,5,1,4] => 5
[3,2,1,6,4,5] => [2,3,1,6,4,5] => [6,2,3,1,4,5] => 4
[3,2,1,6,5,4] => [2,3,1,5,6,4] => [2,3,5,6,1,4] => 4
[3,2,4,1,5,6] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => 6
[3,2,4,1,6,5] => [4,3,2,1,6,5] => [4,3,2,6,1,5] => 7
[3,2,4,5,1,6] => [5,3,2,4,1,6] => [3,2,5,4,1,6] => 8
[3,2,4,5,6,1] => [6,3,2,4,5,1] => [3,2,4,6,5,1] => 10
[3,2,4,6,1,5] => [6,3,2,4,1,5] => [3,2,4,1,6,5] => 9
[3,2,4,6,5,1] => [5,3,2,4,6,1] => [3,2,5,4,6,1] => 9
[3,2,5,1,4,6] => [5,3,2,1,4,6] => [3,2,1,5,4,6] => 7
[3,2,5,1,6,4] => [6,3,2,5,1,4] => [3,6,2,1,5,4] => 10
[3,2,5,4,1,6] => [4,3,2,5,1,6] => [4,3,2,5,1,6] => 7
[3,2,5,4,6,1] => [6,3,2,5,4,1] => [3,6,2,5,4,1] => 11
[3,2,5,6,1,4] => [6,3,2,1,5,4] => [3,2,6,1,5,4] => 9
[3,2,5,6,4,1] => [4,3,2,6,5,1] => [4,3,6,2,5,1] => 9
[3,2,6,1,4,5] => [6,3,2,1,4,5] => [3,2,1,4,6,5] => 8
[3,2,6,1,5,4] => [5,3,2,6,1,4] => [3,2,5,1,6,4] => 9
[3,2,6,4,1,5] => [4,3,2,6,1,5] => [4,3,6,2,1,5] => 8
[3,2,6,4,5,1] => [5,3,2,6,4,1] => [3,2,5,6,4,1] => 10
[3,2,6,5,1,4] => [5,3,2,1,6,4] => [3,2,1,5,6,4] => 8
[3,2,6,5,4,1] => [4,3,2,5,6,1] => [4,3,2,5,6,1] => 8
[3,4,1,2,5,6] => [4,1,3,2,5,6] => [4,1,3,2,5,6] => 4
[3,4,1,2,6,5] => [4,1,3,2,6,5] => [4,1,3,6,2,5] => 5
[3,4,1,5,2,6] => [5,4,3,1,2,6] => [1,5,4,3,2,6] => 9
[3,4,1,5,6,2] => [6,4,3,1,5,2] => [1,4,3,6,5,2] => 11
[3,4,1,6,2,5] => [6,4,3,1,2,5] => [1,4,3,2,6,5] => 10
[3,4,1,6,5,2] => [5,4,3,1,6,2] => [1,5,4,3,6,2] => 10
[3,4,2,1,5,6] => [2,4,3,1,5,6] => [4,2,3,1,5,6] => 4
[3,4,2,1,6,5] => [2,4,3,1,6,5] => [4,2,3,6,1,5] => 5
[3,4,2,5,1,6] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => 10
[3,4,2,5,6,1] => [6,4,3,2,5,1] => [4,3,2,6,5,1] => 12
[3,4,2,6,1,5] => [6,4,3,2,1,5] => [4,3,2,1,6,5] => 11
[3,4,2,6,5,1] => [5,4,3,2,6,1] => [5,4,3,2,6,1] => 11
[3,4,5,1,2,6] => [5,1,3,4,2,6] => [1,5,3,4,2,6] => 6
[3,4,5,1,6,2] => [6,5,3,4,1,2] => [3,1,6,5,4,2] => 13
[3,4,5,2,1,6] => [2,5,3,4,1,6] => [2,5,3,4,1,6] => 6
[3,4,5,2,6,1] => [6,5,3,4,2,1] => [3,6,5,4,2,1] => 14
[3,4,5,6,1,2] => [6,1,3,4,5,2] => [1,3,6,4,5,2] => 8
[3,4,5,6,2,1] => [2,6,3,4,5,1] => [2,3,6,4,5,1] => 8
[3,4,6,1,2,5] => [6,1,3,4,2,5] => [3,4,1,2,6,5] => 7
[3,4,6,1,5,2] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 12
[3,4,6,2,1,5] => [2,6,3,4,1,5] => [2,3,6,4,1,5] => 7
[3,4,6,2,5,1] => [5,6,3,4,2,1] => [5,3,6,4,2,1] => 13
[3,4,6,5,1,2] => [5,1,3,4,6,2] => [1,5,3,4,6,2] => 7
[3,4,6,5,2,1] => [2,5,3,4,6,1] => [2,5,3,4,6,1] => 7
[3,5,1,2,4,6] => [5,1,3,2,4,6] => [3,1,2,5,4,6] => 5
[3,5,1,2,6,4] => [6,1,3,5,2,4] => [6,3,1,2,5,4] => 8
[3,5,1,4,2,6] => [4,5,3,1,2,6] => [4,1,5,3,2,6] => 8
[3,5,1,4,6,2] => [6,5,3,1,4,2] => [1,3,6,5,4,2] => 12
[3,5,1,6,2,4] => [6,5,3,1,2,4] => [1,3,2,6,5,4] => 11
[3,5,1,6,4,2] => [4,6,3,5,1,2] => [6,4,3,1,5,2] => 11
[3,5,2,1,4,6] => [2,5,3,1,4,6] => [2,5,3,1,4,6] => 5
[3,5,2,1,6,4] => [2,6,3,5,1,4] => [6,2,5,3,1,4] => 8
[3,5,2,4,1,6] => [4,5,3,2,1,6] => [4,5,3,2,1,6] => 9
[3,5,2,4,6,1] => [6,5,3,2,4,1] => [3,2,6,5,4,1] => 13
[3,5,2,6,1,4] => [6,5,3,2,1,4] => [3,2,1,6,5,4] => 12
[3,5,2,6,4,1] => [4,6,3,5,2,1] => [6,4,3,5,2,1] => 12
[3,5,4,1,2,6] => [4,1,3,5,2,6] => [4,1,3,5,2,6] => 5
[3,5,4,1,6,2] => [6,4,3,5,1,2] => [4,3,1,6,5,2] => 12
[3,5,4,2,1,6] => [2,4,3,5,1,6] => [4,2,3,5,1,6] => 5
[3,5,4,2,6,1] => [6,4,3,5,2,1] => [4,3,6,5,2,1] => 13
[3,5,4,6,1,2] => [6,1,3,5,4,2] => [6,1,5,3,4,2] => 9
[3,5,4,6,2,1] => [2,6,3,5,4,1] => [6,2,5,3,4,1] => 9
[3,5,6,1,2,4] => [6,1,3,2,5,4] => [3,6,1,2,5,4] => 7
[3,5,6,1,4,2] => [4,6,3,1,5,2] => [1,6,4,3,5,2] => 10
[3,5,6,2,1,4] => [2,6,3,1,5,4] => [2,3,6,5,1,4] => 7
[3,5,6,2,4,1] => [4,6,3,2,5,1] => [6,4,3,2,5,1] => 11
[3,5,6,4,1,2] => [4,1,3,6,5,2] => [4,6,1,3,5,2] => 7
[3,5,6,4,2,1] => [2,4,3,6,5,1] => [4,6,2,3,5,1] => 7
[3,6,1,2,4,5] => [6,1,3,2,4,5] => [3,1,2,4,6,5] => 6
[3,6,1,2,5,4] => [5,1,3,6,2,4] => [3,5,1,2,6,4] => 7
[3,6,1,4,2,5] => [4,6,3,1,2,5] => [1,6,4,3,2,5] => 9
[3,6,1,4,5,2] => [5,6,3,1,4,2] => [1,5,3,6,4,2] => 11
[3,6,1,5,2,4] => [5,6,3,1,2,4] => [1,5,3,2,6,4] => 10
[3,6,1,5,4,2] => [4,5,3,6,1,2] => [4,5,3,1,6,2] => 10
[3,6,2,1,4,5] => [2,6,3,1,4,5] => [2,3,1,6,4,5] => 6
[3,6,2,1,5,4] => [2,5,3,6,1,4] => [2,5,6,3,1,4] => 7
[3,6,2,4,1,5] => [4,6,3,2,1,5] => [6,4,3,2,1,5] => 10
[3,6,2,4,5,1] => [5,6,3,2,4,1] => [5,3,2,6,4,1] => 12
[3,6,2,5,1,4] => [5,6,3,2,1,4] => [5,3,2,1,6,4] => 11
[3,6,2,5,4,1] => [4,5,3,6,2,1] => [4,5,3,6,2,1] => 11
[3,6,4,1,2,5] => [4,1,3,6,2,5] => [4,6,1,3,2,5] => 6
[3,6,4,1,5,2] => [5,4,3,6,1,2] => [5,4,3,1,6,2] => 11
[3,6,4,2,1,5] => [2,4,3,6,1,5] => [4,6,2,3,1,5] => 6
[3,6,4,2,5,1] => [5,4,3,6,2,1] => [5,4,3,6,2,1] => 12
[3,6,4,5,1,2] => [5,1,3,6,4,2] => [1,5,6,3,4,2] => 8
[3,6,4,5,2,1] => [2,5,3,6,4,1] => [2,5,6,3,4,1] => 8
[3,6,5,1,2,4] => [5,1,3,2,6,4] => [3,1,2,5,6,4] => 6
[3,6,5,1,4,2] => [4,5,3,1,6,2] => [4,1,5,3,6,2] => 9
[3,6,5,2,1,4] => [2,5,3,1,6,4] => [2,5,3,6,1,4] => 6
[3,6,5,2,4,1] => [4,5,3,2,6,1] => [4,5,3,2,6,1] => 10
[3,6,5,4,1,2] => [4,1,3,5,6,2] => [4,1,3,5,6,2] => 6
[3,6,5,4,2,1] => [2,4,3,5,6,1] => [4,2,3,5,6,1] => 6
[4,1,2,3,5,6] => [4,1,2,3,5,6] => [1,2,4,3,5,6] => 3
[4,1,2,3,6,5] => [4,1,2,3,6,5] => [1,2,4,6,3,5] => 4
[4,1,2,5,3,6] => [5,1,4,2,3,6] => [1,5,2,4,3,6] => 6
[4,1,2,5,6,3] => [6,1,4,2,5,3] => [1,2,6,4,5,3] => 8
[4,1,2,6,3,5] => [6,1,4,2,3,5] => [1,4,2,3,6,5] => 7
[4,1,2,6,5,3] => [5,1,4,2,6,3] => [1,5,2,4,6,3] => 7
[4,1,3,2,5,6] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => 4
[4,1,3,2,6,5] => [3,4,1,2,6,5] => [3,1,4,6,2,5] => 5
[4,1,3,5,2,6] => [5,4,1,3,2,6] => [5,1,4,3,2,6] => 8
[4,1,3,5,6,2] => [6,4,1,3,5,2] => [4,1,3,6,5,2] => 10
[4,1,3,6,2,5] => [6,4,1,3,2,5] => [4,1,3,2,6,5] => 9
[4,1,3,6,5,2] => [5,4,1,3,6,2] => [5,1,4,3,6,2] => 9
[4,1,5,2,3,6] => [5,4,1,2,3,6] => [1,2,5,4,3,6] => 7
[4,1,5,2,6,3] => [6,5,4,1,2,3] => [1,2,6,5,4,3] => 12
[4,1,5,3,2,6] => [3,5,4,1,2,6] => [5,3,1,4,2,6] => 7
[4,1,5,3,6,2] => [6,5,4,1,3,2] => [6,1,5,4,3,2] => 13
[4,1,5,6,2,3] => [6,4,1,2,5,3] => [1,2,4,6,5,3] => 9
[4,1,5,6,3,2] => [3,6,4,1,5,2] => [3,1,6,4,5,2] => 9
[4,1,6,2,3,5] => [6,4,1,2,3,5] => [1,2,4,3,6,5] => 8
[4,1,6,2,5,3] => [5,6,4,1,2,3] => [1,5,2,6,4,3] => 11
[4,1,6,3,2,5] => [3,6,4,1,2,5] => [3,1,6,4,2,5] => 8
[4,1,6,3,5,2] => [5,6,4,1,3,2] => [1,5,6,4,3,2] => 12
[4,1,6,5,2,3] => [5,4,1,2,6,3] => [1,2,5,4,6,3] => 8
[4,1,6,5,3,2] => [3,5,4,1,6,2] => [5,3,1,4,6,2] => 8
[4,2,1,3,5,6] => [2,4,1,3,5,6] => [4,2,1,3,5,6] => 3
[4,2,1,3,6,5] => [2,4,1,3,6,5] => [4,2,6,1,3,5] => 4
[4,2,1,5,3,6] => [2,5,4,1,3,6] => [5,4,2,1,3,6] => 6
[4,2,1,5,6,3] => [2,6,4,1,5,3] => [4,2,6,5,1,3] => 8
[4,2,1,6,3,5] => [2,6,4,1,3,5] => [6,2,1,4,3,5] => 7
[4,2,1,6,5,3] => [2,5,4,1,6,3] => [5,4,2,6,1,3] => 7
[4,2,3,1,5,6] => [3,4,2,1,5,6] => [3,4,2,1,5,6] => 5
[4,2,3,1,6,5] => [3,4,2,1,6,5] => [3,4,2,6,1,5] => 6
[4,2,3,5,1,6] => [5,4,2,3,1,6] => [2,5,4,3,1,6] => 9
[4,2,3,5,6,1] => [6,4,2,3,5,1] => [2,4,3,6,5,1] => 11
[4,2,3,6,1,5] => [6,4,2,3,1,5] => [2,4,3,1,6,5] => 10
[4,2,3,6,5,1] => [5,4,2,3,6,1] => [2,5,4,3,6,1] => 10
[4,2,5,1,3,6] => [5,4,2,1,3,6] => [2,1,5,4,3,6] => 8
[4,2,5,1,6,3] => [6,5,4,2,1,3] => [2,1,6,5,4,3] => 13
[4,2,5,3,1,6] => [3,5,4,2,1,6] => [5,3,4,2,1,6] => 8
[4,2,5,3,6,1] => [6,5,4,2,3,1] => [2,6,5,4,3,1] => 14
[4,2,5,6,1,3] => [6,4,2,1,5,3] => [2,1,4,6,5,3] => 10
[4,2,5,6,3,1] => [3,6,4,2,5,1] => [3,6,4,2,5,1] => 10
[4,2,6,1,3,5] => [6,4,2,1,3,5] => [2,1,4,3,6,5] => 9
[4,2,6,1,5,3] => [5,6,4,2,1,3] => [5,2,1,6,4,3] => 12
[4,2,6,3,1,5] => [3,6,4,2,1,5] => [3,6,4,2,1,5] => 9
[4,2,6,3,5,1] => [5,6,4,2,3,1] => [5,2,6,4,3,1] => 13
[4,2,6,5,1,3] => [5,4,2,1,6,3] => [2,1,5,4,6,3] => 9
[4,2,6,5,3,1] => [3,5,4,2,6,1] => [5,3,4,2,6,1] => 9
[4,3,1,2,5,6] => [3,1,4,2,5,6] => [1,3,4,2,5,6] => 3
[4,3,1,2,6,5] => [3,1,4,2,6,5] => [1,3,4,6,2,5] => 4
[4,3,1,5,2,6] => [5,3,4,1,2,6] => [3,1,5,4,2,6] => 8
[4,3,1,5,6,2] => [6,3,4,1,5,2] => [3,1,4,6,5,2] => 10
[4,3,1,6,2,5] => [6,3,4,1,2,5] => [3,1,4,2,6,5] => 9
[4,3,1,6,5,2] => [5,3,4,1,6,2] => [3,1,5,4,6,2] => 9
[4,3,2,1,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => 3
[4,3,2,1,6,5] => [2,3,4,1,6,5] => [2,3,4,6,1,5] => 4
[4,3,2,5,1,6] => [5,3,4,2,1,6] => [3,5,4,2,1,6] => 9
[4,3,2,5,6,1] => [6,3,4,2,5,1] => [3,4,2,6,5,1] => 11
[4,3,2,6,1,5] => [6,3,4,2,1,5] => [3,4,2,1,6,5] => 10
[4,3,2,6,5,1] => [5,3,4,2,6,1] => [3,5,4,2,6,1] => 10
[4,3,5,1,2,6] => [5,1,4,3,2,6] => [5,4,1,3,2,6] => 7
[4,3,5,1,6,2] => [6,5,4,3,1,2] => [1,6,5,4,3,2] => 14
[4,3,5,2,1,6] => [2,5,4,3,1,6] => [5,4,2,3,1,6] => 7
[4,3,5,2,6,1] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 15
[4,3,5,6,1,2] => [6,1,4,3,5,2] => [6,1,4,3,5,2] => 9
[4,3,5,6,2,1] => [2,6,4,3,5,1] => [6,2,4,3,5,1] => 9
[4,3,6,1,2,5] => [6,1,4,3,2,5] => [4,3,1,2,6,5] => 8
[4,3,6,1,5,2] => [5,6,4,3,1,2] => [5,1,6,4,3,2] => 13
[4,3,6,2,1,5] => [2,6,4,3,1,5] => [6,2,4,3,1,5] => 8
[4,3,6,2,5,1] => [5,6,4,3,2,1] => [5,6,4,3,2,1] => 14
[4,3,6,5,1,2] => [5,1,4,3,6,2] => [5,4,1,3,6,2] => 8
[4,3,6,5,2,1] => [2,5,4,3,6,1] => [5,4,2,3,6,1] => 8
[4,5,1,2,3,6] => [5,1,2,4,3,6] => [5,1,2,4,3,6] => 5
[4,5,1,2,6,3] => [6,1,5,4,2,3] => [1,6,5,2,4,3] => 10
[4,5,1,3,2,6] => [3,5,1,4,2,6] => [3,5,1,4,2,6] => 6
[4,5,1,3,6,2] => [6,5,1,4,3,2] => [6,5,1,4,3,2] => 12
[4,5,1,6,2,3] => [6,5,1,4,2,3] => [1,6,2,5,4,3] => 11
[4,5,1,6,3,2] => [3,6,5,4,1,2] => [6,5,3,1,4,2] => 11
[4,5,2,1,3,6] => [2,5,1,4,3,6] => [2,5,4,1,3,6] => 5
[4,5,2,1,6,3] => [2,6,5,4,1,3] => [6,5,4,2,1,3] => 10
[4,5,2,3,1,6] => [3,5,2,4,1,6] => [5,3,2,4,1,6] => 7
[4,5,2,3,6,1] => [6,5,2,4,3,1] => [6,2,5,4,3,1] => 13
[4,5,2,6,1,3] => [6,5,2,4,1,3] => [6,2,1,5,4,3] => 12
[4,5,2,6,3,1] => [3,6,5,4,2,1] => [6,5,3,4,2,1] => 12
[4,5,3,1,2,6] => [3,1,5,4,2,6] => [5,1,3,4,2,6] => 5
[4,5,3,1,6,2] => [6,3,5,4,1,2] => [6,3,1,5,4,2] => 12
[4,5,3,2,1,6] => [2,3,5,4,1,6] => [5,2,3,4,1,6] => 5
[4,5,3,2,6,1] => [6,3,5,4,2,1] => [6,3,5,4,2,1] => 13
[4,5,3,6,1,2] => [6,1,5,4,3,2] => [6,5,4,1,3,2] => 11
[4,5,3,6,2,1] => [2,6,5,4,3,1] => [6,5,4,2,3,1] => 11
[4,5,6,1,2,3] => [6,1,2,4,5,3] => [1,6,2,4,5,3] => 7
[4,5,6,1,3,2] => [3,6,1,4,5,2] => [6,3,1,4,5,2] => 8
[4,5,6,2,1,3] => [2,6,1,4,5,3] => [2,4,6,5,1,3] => 7
[4,5,6,2,3,1] => [3,6,2,4,5,1] => [3,2,6,4,5,1] => 9
[4,5,6,3,1,2] => [3,1,6,4,5,2] => [1,6,3,4,5,2] => 7
[4,5,6,3,2,1] => [2,3,6,4,5,1] => [2,6,3,4,5,1] => 7
[4,6,1,2,3,5] => [6,1,2,4,3,5] => [4,1,2,3,6,5] => 6
[4,6,1,2,5,3] => [5,1,6,4,2,3] => [5,1,6,2,4,3] => 9
[4,6,1,3,2,5] => [3,6,1,4,2,5] => [1,3,6,4,2,5] => 7
[4,6,1,3,5,2] => [5,6,1,4,3,2] => [5,6,1,4,3,2] => 11
[4,6,1,5,2,3] => [5,6,1,4,2,3] => [5,1,2,6,4,3] => 10
[4,6,1,5,3,2] => [3,5,6,4,1,2] => [5,6,3,1,4,2] => 10
[4,6,2,1,3,5] => [2,6,1,4,3,5] => [2,6,1,4,3,5] => 6
[4,6,2,1,5,3] => [2,5,6,4,1,3] => [5,6,4,2,1,3] => 9
[4,6,2,3,1,5] => [3,6,2,4,1,5] => [3,2,6,4,1,5] => 8
[4,6,2,3,5,1] => [5,6,2,4,3,1] => [2,5,6,4,3,1] => 12
[4,6,2,5,1,3] => [5,6,2,4,1,3] => [2,5,1,6,4,3] => 11
[4,6,2,5,3,1] => [3,5,6,4,2,1] => [5,6,3,4,2,1] => 11
[4,6,3,1,2,5] => [3,1,6,4,2,5] => [3,6,1,4,2,5] => 6
[4,6,3,1,5,2] => [5,3,6,4,1,2] => [3,5,1,6,4,2] => 11
[4,6,3,2,1,5] => [2,3,6,4,1,5] => [2,6,3,4,1,5] => 6
[4,6,3,2,5,1] => [5,3,6,4,2,1] => [3,5,6,4,2,1] => 12
[4,6,3,5,1,2] => [5,1,6,4,3,2] => [5,6,4,1,3,2] => 10
[4,6,3,5,2,1] => [2,5,6,4,3,1] => [5,6,4,2,3,1] => 10
[4,6,5,1,2,3] => [5,1,2,4,6,3] => [5,1,2,4,6,3] => 6
[4,6,5,1,3,2] => [3,5,1,4,6,2] => [3,5,1,4,6,2] => 7
[4,6,5,2,1,3] => [2,5,1,4,6,3] => [2,5,4,6,1,3] => 6
[4,6,5,2,3,1] => [3,5,2,4,6,1] => [5,3,2,4,6,1] => 8
[4,6,5,3,1,2] => [3,1,5,4,6,2] => [5,1,3,4,6,2] => 6
[4,6,5,3,2,1] => [2,3,5,4,6,1] => [5,2,3,4,6,1] => 6
[5,1,2,3,4,6] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => 4
[5,1,2,3,6,4] => [6,1,2,5,3,4] => [1,6,2,3,5,4] => 7
[5,1,2,4,3,6] => [4,1,5,2,3,6] => [4,1,2,5,3,6] => 5
[5,1,2,4,6,3] => [6,1,5,2,4,3] => [6,1,5,2,4,3] => 9
[5,1,2,6,3,4] => [6,1,5,2,3,4] => [1,2,6,3,5,4] => 8
[5,1,2,6,4,3] => [4,1,6,5,2,3] => [6,4,1,2,5,3] => 8
[5,1,3,2,4,6] => [3,5,1,2,4,6] => [1,5,3,2,4,6] => 5
[5,1,3,2,6,4] => [3,6,1,5,2,4] => [3,1,6,5,2,4] => 8
[5,1,3,4,2,6] => [4,5,1,3,2,6] => [1,4,5,3,2,6] => 7
[5,1,3,4,6,2] => [6,5,1,3,4,2] => [1,6,3,5,4,2] => 11
[5,1,3,6,2,4] => [6,5,1,3,2,4] => [3,1,2,6,5,4] => 10
[5,1,3,6,4,2] => [4,6,1,5,3,2] => [6,1,4,5,3,2] => 10
[5,1,4,2,3,6] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => 6
[5,1,4,2,6,3] => [6,4,5,1,2,3] => [1,4,2,6,5,3] => 11
[5,1,4,3,2,6] => [3,4,5,1,2,6] => [3,4,1,5,2,6] => 6
[5,1,4,3,6,2] => [6,4,5,1,3,2] => [1,4,6,5,3,2] => 12
[5,1,4,6,2,3] => [6,5,1,2,4,3] => [6,1,2,5,4,3] => 10
[5,1,4,6,3,2] => [3,6,5,1,4,2] => [3,6,5,1,4,2] => 10
[5,1,6,2,3,4] => [6,5,1,2,3,4] => [1,2,3,6,5,4] => 9
[5,1,6,2,4,3] => [4,6,5,1,2,3] => [1,6,4,2,5,3] => 10
[5,1,6,3,2,4] => [3,6,5,1,2,4] => [1,6,5,3,2,4] => 9
[5,1,6,3,4,2] => [4,6,5,1,3,2] => [4,6,1,5,3,2] => 11
[5,1,6,4,2,3] => [4,6,1,5,2,3] => [4,1,6,2,5,3] => 9
[5,1,6,4,3,2] => [3,4,6,5,1,2] => [6,3,4,1,5,2] => 9
[5,2,1,3,4,6] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => 4
[5,2,1,3,6,4] => [2,6,1,5,3,4] => [6,2,1,5,3,4] => 7
[5,2,1,4,3,6] => [2,4,5,1,3,6] => [4,5,2,1,3,6] => 5
[5,2,1,4,6,3] => [2,6,5,1,4,3] => [2,6,5,4,1,3] => 9
[5,2,1,6,3,4] => [2,6,5,1,3,4] => [2,1,6,5,3,4] => 8
[5,2,1,6,4,3] => [2,4,6,5,1,3] => [6,4,5,2,1,3] => 8
[5,2,3,1,4,6] => [3,5,2,1,4,6] => [5,3,2,1,4,6] => 6
[5,2,3,1,6,4] => [3,6,2,5,1,4] => [3,6,5,2,1,4] => 9
[5,2,3,4,1,6] => [4,5,2,3,1,6] => [4,2,5,3,1,6] => 8
[5,2,3,4,6,1] => [6,5,2,3,4,1] => [2,3,6,5,4,1] => 12
[5,2,3,6,1,4] => [6,5,2,3,1,4] => [2,3,1,6,5,4] => 11
[5,2,3,6,4,1] => [4,6,2,5,3,1] => [4,6,2,5,3,1] => 11
[5,2,4,1,3,6] => [4,5,2,1,3,6] => [4,2,1,5,3,6] => 7
[5,2,4,1,6,3] => [6,4,5,2,1,3] => [4,2,1,6,5,3] => 12
[5,2,4,3,1,6] => [3,4,5,2,1,6] => [3,4,5,2,1,6] => 7
[5,2,4,3,6,1] => [6,4,5,2,3,1] => [4,2,6,5,3,1] => 13
[5,2,4,6,1,3] => [6,5,2,1,4,3] => [2,6,1,5,4,3] => 11
[5,2,4,6,3,1] => [3,6,5,2,4,1] => [6,5,3,2,4,1] => 11
[5,2,6,1,3,4] => [6,5,2,1,3,4] => [2,1,3,6,5,4] => 10
[5,2,6,1,4,3] => [4,6,5,2,1,3] => [6,4,2,1,5,3] => 11
[5,2,6,3,1,4] => [3,6,5,2,1,4] => [6,5,3,2,1,4] => 10
[5,2,6,3,4,1] => [4,6,5,2,3,1] => [6,4,2,5,3,1] => 12
[5,2,6,4,1,3] => [4,6,2,5,1,3] => [4,6,2,1,5,3] => 10
[5,2,6,4,3,1] => [3,4,6,5,2,1] => [6,3,4,5,2,1] => 10
[5,3,1,2,4,6] => [3,1,5,2,4,6] => [3,1,5,2,4,6] => 4
[5,3,1,2,6,4] => [3,1,6,5,2,4] => [6,3,1,5,2,4] => 7
[5,3,1,4,2,6] => [4,3,5,1,2,6] => [4,3,1,5,2,6] => 7
[5,3,1,4,6,2] => [6,3,5,1,4,2] => [3,6,1,5,4,2] => 11
[5,3,1,6,2,4] => [6,3,5,1,2,4] => [1,6,3,2,5,4] => 10
[5,3,1,6,4,2] => [4,3,6,5,1,2] => [4,6,3,1,5,2] => 10
[5,3,2,1,4,6] => [2,3,5,1,4,6] => [5,2,3,1,4,6] => 4
[5,3,2,1,6,4] => [2,3,6,5,1,4] => [6,5,2,3,1,4] => 7
[5,3,2,4,1,6] => [4,3,5,2,1,6] => [4,3,5,2,1,6] => 8
[5,3,2,4,6,1] => [6,3,5,2,4,1] => [6,3,2,5,4,1] => 12
[5,3,2,6,1,4] => [6,3,5,2,1,4] => [6,3,2,1,5,4] => 11
[5,3,2,6,4,1] => [4,3,6,5,2,1] => [4,6,3,5,2,1] => 11
[5,3,4,1,2,6] => [4,1,5,3,2,6] => [4,5,1,3,2,6] => 6
[5,3,4,1,6,2] => [6,4,5,3,1,2] => [4,1,6,5,3,2] => 13
[5,3,4,2,1,6] => [2,4,5,3,1,6] => [4,5,2,3,1,6] => 6
[5,3,4,2,6,1] => [6,4,5,3,2,1] => [4,6,5,3,2,1] => 14
[5,3,4,6,1,2] => [6,1,5,3,4,2] => [1,6,5,3,4,2] => 10
[5,3,4,6,2,1] => [2,6,5,3,4,1] => [2,6,5,3,4,1] => 10
[5,3,6,1,2,4] => [6,1,5,3,2,4] => [6,1,3,2,5,4] => 9
[5,3,6,1,4,2] => [4,6,5,3,1,2] => [6,4,1,5,3,2] => 12
[5,3,6,2,1,4] => [2,6,5,3,1,4] => [2,6,5,3,1,4] => 9
[5,3,6,2,4,1] => [4,6,5,3,2,1] => [6,4,5,3,2,1] => 13
[5,3,6,4,1,2] => [4,1,6,5,3,2] => [6,4,5,1,3,2] => 9
[5,3,6,4,2,1] => [2,4,6,5,3,1] => [6,4,5,2,3,1] => 9
[5,4,1,2,3,6] => [4,1,2,5,3,6] => [1,2,4,5,3,6] => 4
[5,4,1,2,6,3] => [6,1,4,5,2,3] => [6,1,4,2,5,3] => 9
[5,4,1,3,2,6] => [3,4,1,5,2,6] => [3,1,4,5,2,6] => 5
[5,4,1,3,6,2] => [6,4,1,5,3,2] => [1,6,4,5,3,2] => 11
[5,4,1,6,2,3] => [6,4,1,5,2,3] => [4,1,2,6,5,3] => 10
[5,4,1,6,3,2] => [3,6,4,5,1,2] => [3,6,4,1,5,2] => 10
[5,4,2,1,3,6] => [2,4,1,5,3,6] => [4,2,5,1,3,6] => 4
[5,4,2,1,6,3] => [2,6,4,5,1,3] => [4,6,5,2,1,3] => 9
[5,4,2,3,1,6] => [3,4,2,5,1,6] => [3,4,2,5,1,6] => 6
[5,4,2,3,6,1] => [6,4,2,5,3,1] => [2,4,6,5,3,1] => 12
[5,4,2,6,1,3] => [6,4,2,5,1,3] => [2,4,1,6,5,3] => 11
[5,4,2,6,3,1] => [3,6,4,5,2,1] => [3,6,4,5,2,1] => 11
[5,4,3,1,2,6] => [3,1,4,5,2,6] => [1,3,4,5,2,6] => 4
[5,4,3,1,6,2] => [6,3,4,5,1,2] => [3,4,1,6,5,2] => 11
[5,4,3,2,1,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => 4
[5,4,3,2,6,1] => [6,3,4,5,2,1] => [3,4,6,5,2,1] => 12
[5,4,3,6,1,2] => [6,1,4,5,3,2] => [4,6,5,1,3,2] => 10
[5,4,3,6,2,1] => [2,6,4,5,3,1] => [4,6,5,2,3,1] => 10
[5,4,6,1,2,3] => [6,1,2,5,4,3] => [6,5,1,2,4,3] => 8
[5,4,6,1,3,2] => [3,6,1,5,4,2] => [6,3,5,1,4,2] => 9
[5,4,6,2,1,3] => [2,6,1,5,4,3] => [6,2,5,4,1,3] => 8
[5,4,6,2,3,1] => [3,6,2,5,4,1] => [3,6,5,2,4,1] => 10
[5,4,6,3,1,2] => [3,1,6,5,4,2] => [6,5,1,3,4,2] => 8
[5,4,6,3,2,1] => [2,3,6,5,4,1] => [6,5,2,3,4,1] => 8
[5,6,1,2,3,4] => [6,1,2,3,5,4] => [6,1,2,3,5,4] => 6
[5,6,1,2,4,3] => [4,1,6,2,5,3] => [4,6,1,2,5,3] => 7
[5,6,1,3,2,4] => [3,6,1,2,5,4] => [1,3,6,5,2,4] => 7
[5,6,1,3,4,2] => [4,6,1,3,5,2] => [4,1,6,3,5,2] => 9
[5,6,1,4,2,3] => [4,6,1,2,5,3] => [1,4,6,2,5,3] => 8
[5,6,1,4,3,2] => [3,4,6,1,5,2] => [3,4,6,1,5,2] => 8
[5,6,2,1,3,4] => [2,6,1,3,5,4] => [2,6,1,5,3,4] => 6
[5,6,2,1,4,3] => [2,4,6,1,5,3] => [6,4,2,5,1,3] => 7
[5,6,2,3,1,4] => [3,6,2,1,5,4] => [3,2,6,5,1,4] => 8
[5,6,2,3,4,1] => [4,6,2,3,5,1] => [2,6,4,3,5,1] => 10
[5,6,2,4,1,3] => [4,6,2,1,5,3] => [4,2,6,1,5,3] => 9
[5,6,2,4,3,1] => [3,4,6,2,5,1] => [6,3,4,2,5,1] => 9
[5,6,3,1,2,4] => [3,1,6,2,5,4] => [3,6,1,5,2,4] => 6
[5,6,3,1,4,2] => [4,3,6,1,5,2] => [4,3,6,1,5,2] => 9
[5,6,3,2,1,4] => [2,3,6,1,5,4] => [2,6,3,5,1,4] => 6
[5,6,3,2,4,1] => [4,3,6,2,5,1] => [4,6,3,2,5,1] => 10
[5,6,3,4,1,2] => [4,1,6,3,5,2] => [6,4,1,3,5,2] => 8
[5,6,3,4,2,1] => [2,4,6,3,5,1] => [6,4,2,3,5,1] => 8
[5,6,4,1,2,3] => [4,1,2,6,5,3] => [6,1,2,4,5,3] => 6
[5,6,4,1,3,2] => [3,4,1,6,5,2] => [3,6,1,4,5,2] => 7
[5,6,4,2,1,3] => [2,4,1,6,5,3] => [4,6,2,5,1,3] => 6
[5,6,4,2,3,1] => [3,4,2,6,5,1] => [3,4,6,2,5,1] => 8
[5,6,4,3,1,2] => [3,1,4,6,5,2] => [6,1,3,4,5,2] => 6
[5,6,4,3,2,1] => [2,3,4,6,5,1] => [6,2,3,4,5,1] => 6
[6,1,2,3,4,5] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => 5
[6,1,2,3,5,4] => [5,1,2,6,3,4] => [5,1,2,3,6,4] => 6
[6,1,2,4,3,5] => [4,1,6,2,3,5] => [1,4,2,6,3,5] => 6
[6,1,2,4,5,3] => [5,1,6,2,4,3] => [1,5,6,2,4,3] => 8
[6,1,2,5,3,4] => [5,1,6,2,3,4] => [1,5,2,3,6,4] => 7
[6,1,2,5,4,3] => [4,1,5,6,2,3] => [4,5,1,2,6,3] => 7
[6,1,3,2,4,5] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => 6
[6,1,3,2,5,4] => [3,5,1,6,2,4] => [5,3,1,6,2,4] => 7
[6,1,3,4,2,5] => [4,6,1,3,2,5] => [6,1,4,3,2,5] => 8
[6,1,3,4,5,2] => [5,6,1,3,4,2] => [5,1,3,6,4,2] => 10
[6,1,3,5,2,4] => [5,6,1,3,2,4] => [5,1,3,2,6,4] => 9
[6,1,3,5,4,2] => [4,5,1,6,3,2] => [1,4,5,6,3,2] => 9
[6,1,4,2,3,5] => [4,6,1,2,3,5] => [1,2,6,4,3,5] => 7
[6,1,4,2,5,3] => [5,4,6,1,2,3] => [1,5,4,2,6,3] => 10
[6,1,4,3,2,5] => [3,4,6,1,2,5] => [6,3,1,4,2,5] => 7
[6,1,4,3,5,2] => [5,4,6,1,3,2] => [1,5,4,6,3,2] => 11
[6,1,4,5,2,3] => [5,6,1,2,4,3] => [1,2,5,6,4,3] => 9
[6,1,4,5,3,2] => [3,5,6,1,4,2] => [5,3,6,1,4,2] => 9
[6,1,5,2,3,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => 8
[6,1,5,2,4,3] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => 9
[6,1,5,3,2,4] => [3,5,6,1,2,4] => [5,1,6,3,2,4] => 8
[6,1,5,3,4,2] => [4,5,6,1,3,2] => [4,1,5,6,3,2] => 10
[6,1,5,4,2,3] => [4,5,1,6,2,3] => [1,4,5,2,6,3] => 8
[6,1,5,4,3,2] => [3,4,5,6,1,2] => [3,4,5,1,6,2] => 8
[6,2,1,3,4,5] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => 5
[6,2,1,3,5,4] => [2,5,1,6,3,4] => [2,5,1,6,3,4] => 6
[6,2,1,4,3,5] => [2,4,6,1,3,5] => [6,4,2,1,3,5] => 6
[6,2,1,4,5,3] => [2,5,6,1,4,3] => [5,2,6,4,1,3] => 8
[6,2,1,5,3,4] => [2,5,6,1,3,4] => [5,2,1,6,3,4] => 7
[6,2,1,5,4,3] => [2,4,5,6,1,3] => [4,5,6,2,1,3] => 7
[6,2,3,1,4,5] => [3,6,2,1,4,5] => [3,2,1,6,4,5] => 7
[6,2,3,1,5,4] => [3,5,2,6,1,4] => [5,3,6,2,1,4] => 8
[6,2,3,4,1,5] => [4,6,2,3,1,5] => [2,6,4,3,1,5] => 9
[6,2,3,4,5,1] => [5,6,2,3,4,1] => [2,5,3,6,4,1] => 11
[6,2,3,5,1,4] => [5,6,2,3,1,4] => [2,5,3,1,6,4] => 10
[6,2,3,5,4,1] => [4,5,2,6,3,1] => [4,2,5,6,3,1] => 10
[6,2,4,1,3,5] => [4,6,2,1,3,5] => [2,1,6,4,3,5] => 8
[6,2,4,1,5,3] => [5,4,6,2,1,3] => [5,4,2,1,6,3] => 11
[6,2,4,3,1,5] => [3,4,6,2,1,5] => [6,3,4,2,1,5] => 8
[6,2,4,3,5,1] => [5,4,6,2,3,1] => [5,4,2,6,3,1] => 12
[6,2,4,5,1,3] => [5,6,2,1,4,3] => [2,1,5,6,4,3] => 10
[6,2,4,5,3,1] => [3,5,6,2,4,1] => [5,6,3,2,4,1] => 10
[6,2,5,1,3,4] => [5,6,2,1,3,4] => [2,1,5,3,6,4] => 9
[6,2,5,1,4,3] => [4,5,6,2,1,3] => [4,5,2,1,6,3] => 10
[6,2,5,3,1,4] => [3,5,6,2,1,4] => [5,6,3,2,1,4] => 9
[6,2,5,3,4,1] => [4,5,6,2,3,1] => [4,5,2,6,3,1] => 11
[6,2,5,4,1,3] => [4,5,2,6,1,3] => [4,2,5,1,6,3] => 9
[6,2,5,4,3,1] => [3,4,5,6,2,1] => [3,4,5,6,2,1] => 9
[6,3,1,2,4,5] => [3,1,6,2,4,5] => [1,6,3,2,4,5] => 5
[6,3,1,2,5,4] => [3,1,5,6,2,4] => [3,5,1,6,2,4] => 6
[6,3,1,4,2,5] => [4,3,6,1,2,5] => [4,1,6,3,2,5] => 8
[6,3,1,4,5,2] => [5,3,6,1,4,2] => [3,1,5,6,4,2] => 10
[6,3,1,5,2,4] => [5,3,6,1,2,4] => [3,1,5,2,6,4] => 9
[6,3,1,5,4,2] => [4,3,5,6,1,2] => [4,3,5,1,6,2] => 9
[6,3,2,1,4,5] => [2,3,6,1,4,5] => [2,6,3,1,4,5] => 5
[6,3,2,1,5,4] => [2,3,5,6,1,4] => [5,6,2,3,1,4] => 6
[6,3,2,4,1,5] => [4,3,6,2,1,5] => [4,6,3,2,1,5] => 9
[6,3,2,4,5,1] => [5,3,6,2,4,1] => [3,5,2,6,4,1] => 11
[6,3,2,5,1,4] => [5,3,6,2,1,4] => [3,5,2,1,6,4] => 10
[6,3,2,5,4,1] => [4,3,5,6,2,1] => [4,3,5,6,2,1] => 10
[6,3,4,1,2,5] => [4,1,6,3,2,5] => [1,4,6,3,2,5] => 7
[6,3,4,1,5,2] => [5,4,6,3,1,2] => [5,4,1,6,3,2] => 12
[6,3,4,2,1,5] => [2,4,6,3,1,5] => [6,4,2,3,1,5] => 7
[6,3,4,2,5,1] => [5,4,6,3,2,1] => [5,4,6,3,2,1] => 13
[6,3,4,5,1,2] => [5,1,6,3,4,2] => [5,1,6,3,4,2] => 9
[6,3,4,5,2,1] => [2,5,6,3,4,1] => [5,2,6,3,4,1] => 9
[6,3,5,1,2,4] => [5,1,6,3,2,4] => [5,3,1,2,6,4] => 8
[6,3,5,1,4,2] => [4,5,6,3,1,2] => [4,5,1,6,3,2] => 11
[6,3,5,2,1,4] => [2,5,6,3,1,4] => [5,2,6,3,1,4] => 8
[6,3,5,2,4,1] => [4,5,6,3,2,1] => [4,5,6,3,2,1] => 12
[6,3,5,4,1,2] => [4,1,5,6,3,2] => [4,5,6,1,3,2] => 8
[6,3,5,4,2,1] => [2,4,5,6,3,1] => [4,5,6,2,3,1] => 8
[6,4,1,2,3,5] => [4,1,2,6,3,5] => [4,1,2,6,3,5] => 5
[6,4,1,2,5,3] => [5,1,4,6,2,3] => [5,4,1,2,6,3] => 8
[6,4,1,3,2,5] => [3,4,1,6,2,5] => [3,4,1,6,2,5] => 6
[6,4,1,3,5,2] => [5,4,1,6,3,2] => [5,1,4,6,3,2] => 10
[6,4,1,5,2,3] => [5,4,1,6,2,3] => [5,1,4,2,6,3] => 9
[6,4,1,5,3,2] => [3,5,4,6,1,2] => [5,3,4,1,6,2] => 9
[6,4,2,1,3,5] => [2,4,1,6,3,5] => [4,6,2,1,3,5] => 5
[6,4,2,1,5,3] => [2,5,4,6,1,3] => [5,4,6,2,1,3] => 8
[6,4,2,3,1,5] => [3,4,2,6,1,5] => [3,4,6,2,1,5] => 7
[6,4,2,3,5,1] => [5,4,2,6,3,1] => [2,5,4,6,3,1] => 11
[6,4,2,5,1,3] => [5,4,2,6,1,3] => [2,5,4,1,6,3] => 10
[6,4,2,5,3,1] => [3,5,4,6,2,1] => [5,3,4,6,2,1] => 10
[6,4,3,1,2,5] => [3,1,4,6,2,5] => [6,1,3,4,2,5] => 5
[6,4,3,1,5,2] => [5,3,4,6,1,2] => [3,5,4,1,6,2] => 10
[6,4,3,2,1,5] => [2,3,4,6,1,5] => [6,2,3,4,1,5] => 5
[6,4,3,2,5,1] => [5,3,4,6,2,1] => [3,5,4,6,2,1] => 11
[6,4,3,5,1,2] => [5,1,4,6,3,2] => [5,4,6,1,3,2] => 9
[6,4,3,5,2,1] => [2,5,4,6,3,1] => [5,4,6,2,3,1] => 9
[6,4,5,1,2,3] => [5,1,2,6,4,3] => [5,6,1,2,4,3] => 7
[6,4,5,1,3,2] => [3,5,1,6,4,2] => [3,5,6,1,4,2] => 8
[6,4,5,2,1,3] => [2,5,1,6,4,3] => [2,5,6,4,1,3] => 7
[6,4,5,2,3,1] => [3,5,2,6,4,1] => [5,3,6,2,4,1] => 9
[6,4,5,3,1,2] => [3,1,5,6,4,2] => [5,6,1,3,4,2] => 7
[6,4,5,3,2,1] => [2,3,5,6,4,1] => [5,6,2,3,4,1] => 7
[6,5,1,2,3,4] => [5,1,2,3,6,4] => [1,2,3,5,6,4] => 5
[6,5,1,2,4,3] => [4,1,5,2,6,3] => [4,1,2,5,6,3] => 6
[6,5,1,3,2,4] => [3,5,1,2,6,4] => [1,5,3,6,2,4] => 6
[6,5,1,3,4,2] => [4,5,1,3,6,2] => [1,4,5,3,6,2] => 8
[6,5,1,4,2,3] => [4,5,1,2,6,3] => [1,4,2,5,6,3] => 7
[6,5,1,4,3,2] => [3,4,5,1,6,2] => [3,4,1,5,6,2] => 7
[6,5,2,1,3,4] => [2,5,1,3,6,4] => [2,1,5,6,3,4] => 5
[6,5,2,1,4,3] => [2,4,5,1,6,3] => [4,5,2,6,1,3] => 6
[6,5,2,3,1,4] => [3,5,2,1,6,4] => [5,3,2,6,1,4] => 7
[6,5,2,3,4,1] => [4,5,2,3,6,1] => [4,2,5,3,6,1] => 9
[6,5,2,4,1,3] => [4,5,2,1,6,3] => [4,2,1,5,6,3] => 8
[6,5,2,4,3,1] => [3,4,5,2,6,1] => [3,4,5,2,6,1] => 8
[6,5,3,1,2,4] => [3,1,5,2,6,4] => [3,1,5,6,2,4] => 5
[6,5,3,1,4,2] => [4,3,5,1,6,2] => [4,3,1,5,6,2] => 8
[6,5,3,2,1,4] => [2,3,5,1,6,4] => [5,2,3,6,1,4] => 5
[6,5,3,2,4,1] => [4,3,5,2,6,1] => [4,3,5,2,6,1] => 9
[6,5,3,4,1,2] => [4,1,5,3,6,2] => [4,5,1,3,6,2] => 7
[6,5,3,4,2,1] => [2,4,5,3,6,1] => [4,5,2,3,6,1] => 7
[6,5,4,1,2,3] => [4,1,2,5,6,3] => [1,2,4,5,6,3] => 5
[6,5,4,1,3,2] => [3,4,1,5,6,2] => [3,1,4,5,6,2] => 6
[6,5,4,2,1,3] => [2,4,1,5,6,3] => [4,2,5,6,1,3] => 5
[6,5,4,2,3,1] => [3,4,2,5,6,1] => [3,4,2,5,6,1] => 7
[6,5,4,3,1,2] => [3,1,4,5,6,2] => [1,3,4,5,6,2] => 5
[6,5,4,3,2,1] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => 5
[] => [] => [] => 0
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Description
The major index of a permutation.
This is the sum of the positions of its descents,
$$\operatorname{maj}(\sigma) = \sum_{\sigma(i) > \sigma(i+1)} i.$$
Its generating function is $[n]_q! = [1]_q \cdot [2]_q \dots [n]_q$ for $[k]_q = 1 + q + q^2 + \dots q^{k-1}$.
A statistic equidistributed with the major index is called Mahonian statistic.
Map
Clarke-Steingrimsson-Zeng
Description
The Clarke-Steingrimsson-Zeng map sending descents to excedances.
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
  • $des$ is the number of descents, St000021The number of descents of a permutation.,
  • $exc$ is the number of (strict) excedances, St000155The number of exceedances (also excedences) of a permutation.,
  • $Dbot$ is the sum of the descent bottoms, St000154The sum of the descent bottoms of a permutation.,
  • $Ebot$ is the sum of the excedance bottoms,
  • $Ddif$ is the sum of the descent differences, St000030The sum of the descent differences of a permutations.,
  • $Edif$ is the sum of the excedance differences (or depth), St000029The depth of a permutation.,
  • $Res$ is the sum of the (right) embracing numbers,
  • $Ine$ is the sum of the side numbers.
Map
inverse Foata bijection
Description
The inverse of Foata's bijection.
See Mp00067Foata bijection.