Identifier
- St000961: Permutations ⟶ ℤ
Values
[1,2] => 0
[2,1] => 0
[1,2,3] => 0
[1,3,2] => 0
[2,1,3] => 0
[2,3,1] => 2
[3,1,2] => 1
[3,2,1] => 0
[1,2,3,4] => 0
[1,2,4,3] => 0
[1,3,2,4] => 0
[1,3,4,2] => 3
[1,4,2,3] => 2
[1,4,3,2] => 0
[2,1,3,4] => 0
[2,1,4,3] => 0
[2,3,1,4] => 2
[2,3,4,1] => 3
[2,4,1,3] => 2
[2,4,3,1] => 3
[3,1,2,4] => 1
[3,1,4,2] => 4
[3,2,1,4] => 0
[3,2,4,1] => 3
[3,4,1,2] => 2
[3,4,2,1] => 2
[4,1,2,3] => 1
[4,1,3,2] => 1
[4,2,1,3] => 1
[4,2,3,1] => 4
[4,3,1,2] => 2
[4,3,2,1] => 0
[1,2,3,4,5] => 0
[1,2,3,5,4] => 0
[1,2,4,3,5] => 0
[1,2,4,5,3] => 4
[1,2,5,3,4] => 3
[1,2,5,4,3] => 0
[1,3,2,4,5] => 0
[1,3,2,5,4] => 0
[1,3,4,2,5] => 3
[1,3,4,5,2] => 4
[1,3,5,2,4] => 3
[1,3,5,4,2] => 4
[1,4,2,3,5] => 2
[1,4,2,5,3] => 6
[1,4,3,2,5] => 0
[1,4,3,5,2] => 4
[1,4,5,2,3] => 3
[1,4,5,3,2] => 3
[1,5,2,3,4] => 2
[1,5,2,4,3] => 2
[1,5,3,2,4] => 2
[1,5,3,4,2] => 6
[1,5,4,2,3] => 3
[1,5,4,3,2] => 0
[2,1,3,4,5] => 0
[2,1,3,5,4] => 0
[2,1,4,3,5] => 0
[2,1,4,5,3] => 4
[2,1,5,3,4] => 3
[2,1,5,4,3] => 0
[2,3,1,4,5] => 2
[2,3,1,5,4] => 2
[2,3,4,1,5] => 3
[2,3,4,5,1] => 4
[2,3,5,1,4] => 3
[2,3,5,4,1] => 4
[2,4,1,3,5] => 2
[2,4,1,5,3] => 6
[2,4,3,1,5] => 3
[2,4,3,5,1] => 4
[2,4,5,1,3] => 3
[2,4,5,3,1] => 7
[2,5,1,3,4] => 2
[2,5,1,4,3] => 2
[2,5,3,1,4] => 5
[2,5,3,4,1] => 6
[2,5,4,1,3] => 3
[2,5,4,3,1] => 4
[3,1,2,4,5] => 1
[3,1,2,5,4] => 1
[3,1,4,2,5] => 4
[3,1,4,5,2] => 5
[3,1,5,2,4] => 4
[3,1,5,4,2] => 5
[3,2,1,4,5] => 0
[3,2,1,5,4] => 0
[3,2,4,1,5] => 3
[3,2,4,5,1] => 4
[3,2,5,1,4] => 3
[3,2,5,4,1] => 4
[3,4,1,2,5] => 2
[3,4,1,5,2] => 6
[3,4,2,1,5] => 2
[3,4,2,5,1] => 6
[3,4,5,1,2] => 3
[3,4,5,2,1] => 3
[3,5,1,2,4] => 2
[3,5,1,4,2] => 6
[3,5,2,1,4] => 2
>>> Load all 2872 entries. <<<[3,5,2,4,1] => 6
[3,5,4,1,2] => 3
[3,5,4,2,1] => 3
[4,1,2,3,5] => 1
[4,1,2,5,3] => 5
[4,1,3,2,5] => 1
[4,1,3,5,2] => 5
[4,1,5,2,3] => 4
[4,1,5,3,2] => 4
[4,2,1,3,5] => 1
[4,2,1,5,3] => 5
[4,2,3,1,5] => 4
[4,2,3,5,1] => 5
[4,2,5,1,3] => 4
[4,2,5,3,1] => 8
[4,3,1,2,5] => 2
[4,3,1,5,2] => 6
[4,3,2,1,5] => 0
[4,3,2,5,1] => 4
[4,3,5,1,2] => 3
[4,3,5,2,1] => 3
[4,5,1,2,3] => 2
[4,5,1,3,2] => 2
[4,5,2,1,3] => 2
[4,5,2,3,1] => 6
[4,5,3,1,2] => 5
[4,5,3,2,1] => 2
[5,1,2,3,4] => 1
[5,1,2,4,3] => 1
[5,1,3,2,4] => 1
[5,1,3,4,2] => 5
[5,1,4,2,3] => 4
[5,1,4,3,2] => 1
[5,2,1,3,4] => 1
[5,2,1,4,3] => 1
[5,2,3,1,4] => 4
[5,2,3,4,1] => 5
[5,2,4,1,3] => 4
[5,2,4,3,1] => 5
[5,3,1,2,4] => 3
[5,3,1,4,2] => 7
[5,3,2,1,4] => 1
[5,3,2,4,1] => 5
[5,3,4,1,2] => 4
[5,3,4,2,1] => 4
[5,4,1,2,3] => 2
[5,4,1,3,2] => 2
[5,4,2,1,3] => 2
[5,4,2,3,1] => 6
[5,4,3,1,2] => 3
[5,4,3,2,1] => 0
[1,2,3,4,5,6] => 0
[1,2,3,4,6,5] => 0
[1,2,3,5,4,6] => 0
[1,2,3,5,6,4] => 5
[1,2,3,6,4,5] => 4
[1,2,3,6,5,4] => 0
[1,2,4,3,5,6] => 0
[1,2,4,3,6,5] => 0
[1,2,4,5,3,6] => 4
[1,2,4,5,6,3] => 5
[1,2,4,6,3,5] => 4
[1,2,4,6,5,3] => 5
[1,2,5,3,4,6] => 3
[1,2,5,3,6,4] => 8
[1,2,5,4,3,6] => 0
[1,2,5,4,6,3] => 5
[1,2,5,6,3,4] => 4
[1,2,5,6,4,3] => 4
[1,2,6,3,4,5] => 3
[1,2,6,3,5,4] => 3
[1,2,6,4,3,5] => 3
[1,2,6,4,5,3] => 8
[1,2,6,5,3,4] => 4
[1,2,6,5,4,3] => 0
[1,3,2,4,5,6] => 0
[1,3,2,4,6,5] => 0
[1,3,2,5,4,6] => 0
[1,3,2,5,6,4] => 5
[1,3,2,6,4,5] => 4
[1,3,2,6,5,4] => 0
[1,3,4,2,5,6] => 3
[1,3,4,2,6,5] => 3
[1,3,4,5,2,6] => 4
[1,3,4,5,6,2] => 5
[1,3,4,6,2,5] => 4
[1,3,4,6,5,2] => 5
[1,3,5,2,4,6] => 3
[1,3,5,2,6,4] => 8
[1,3,5,4,2,6] => 4
[1,3,5,4,6,2] => 5
[1,3,5,6,2,4] => 4
[1,3,5,6,4,2] => 9
[1,3,6,2,4,5] => 3
[1,3,6,2,5,4] => 3
[1,3,6,4,2,5] => 7
[1,3,6,4,5,2] => 8
[1,3,6,5,2,4] => 4
[1,3,6,5,4,2] => 5
[1,4,2,3,5,6] => 2
[1,4,2,3,6,5] => 2
[1,4,2,5,3,6] => 6
[1,4,2,5,6,3] => 7
[1,4,2,6,3,5] => 6
[1,4,2,6,5,3] => 7
[1,4,3,2,5,6] => 0
[1,4,3,2,6,5] => 0
[1,4,3,5,2,6] => 4
[1,4,3,5,6,2] => 5
[1,4,3,6,2,5] => 4
[1,4,3,6,5,2] => 5
[1,4,5,2,3,6] => 3
[1,4,5,2,6,3] => 8
[1,4,5,3,2,6] => 3
[1,4,5,3,6,2] => 8
[1,4,5,6,2,3] => 4
[1,4,5,6,3,2] => 4
[1,4,6,2,3,5] => 3
[1,4,6,2,5,3] => 8
[1,4,6,3,2,5] => 3
[1,4,6,3,5,2] => 8
[1,4,6,5,2,3] => 4
[1,4,6,5,3,2] => 4
[1,5,2,3,4,6] => 2
[1,5,2,3,6,4] => 7
[1,5,2,4,3,6] => 2
[1,5,2,4,6,3] => 7
[1,5,2,6,3,4] => 6
[1,5,2,6,4,3] => 6
[1,5,3,2,4,6] => 2
[1,5,3,2,6,4] => 7
[1,5,3,4,2,6] => 6
[1,5,3,4,6,2] => 7
[1,5,3,6,2,4] => 6
[1,5,3,6,4,2] => 11
[1,5,4,2,3,6] => 3
[1,5,4,2,6,3] => 8
[1,5,4,3,2,6] => 0
[1,5,4,3,6,2] => 5
[1,5,4,6,2,3] => 4
[1,5,4,6,3,2] => 4
[1,5,6,2,3,4] => 3
[1,5,6,2,4,3] => 3
[1,5,6,3,2,4] => 3
[1,5,6,3,4,2] => 8
[1,5,6,4,2,3] => 7
[1,5,6,4,3,2] => 3
[1,6,2,3,4,5] => 2
[1,6,2,3,5,4] => 2
[1,6,2,4,3,5] => 2
[1,6,2,4,5,3] => 7
[1,6,2,5,3,4] => 6
[1,6,2,5,4,3] => 2
[1,6,3,2,4,5] => 2
[1,6,3,2,5,4] => 2
[1,6,3,4,2,5] => 6
[1,6,3,4,5,2] => 7
[1,6,3,5,2,4] => 6
[1,6,3,5,4,2] => 7
[1,6,4,2,3,5] => 5
[1,6,4,2,5,3] => 10
[1,6,4,3,2,5] => 2
[1,6,4,3,5,2] => 7
[1,6,4,5,2,3] => 6
[1,6,4,5,3,2] => 6
[1,6,5,2,3,4] => 3
[1,6,5,2,4,3] => 3
[1,6,5,3,2,4] => 3
[1,6,5,3,4,2] => 8
[1,6,5,4,2,3] => 4
[1,6,5,4,3,2] => 0
[2,1,3,4,5,6] => 0
[2,1,3,4,6,5] => 0
[2,1,3,5,4,6] => 0
[2,1,3,5,6,4] => 5
[2,1,3,6,4,5] => 4
[2,1,3,6,5,4] => 0
[2,1,4,3,5,6] => 0
[2,1,4,3,6,5] => 0
[2,1,4,5,3,6] => 4
[2,1,4,5,6,3] => 5
[2,1,4,6,3,5] => 4
[2,1,4,6,5,3] => 5
[2,1,5,3,4,6] => 3
[2,1,5,3,6,4] => 8
[2,1,5,4,3,6] => 0
[2,1,5,4,6,3] => 5
[2,1,5,6,3,4] => 4
[2,1,5,6,4,3] => 4
[2,1,6,3,4,5] => 3
[2,1,6,3,5,4] => 3
[2,1,6,4,3,5] => 3
[2,1,6,4,5,3] => 8
[2,1,6,5,3,4] => 4
[2,1,6,5,4,3] => 0
[2,3,1,4,5,6] => 2
[2,3,1,4,6,5] => 2
[2,3,1,5,4,6] => 2
[2,3,1,5,6,4] => 7
[2,3,1,6,4,5] => 6
[2,3,1,6,5,4] => 2
[2,3,4,1,5,6] => 3
[2,3,4,1,6,5] => 3
[2,3,4,5,1,6] => 4
[2,3,4,5,6,1] => 5
[2,3,4,6,1,5] => 4
[2,3,4,6,5,1] => 5
[2,3,5,1,4,6] => 3
[2,3,5,1,6,4] => 8
[2,3,5,4,1,6] => 4
[2,3,5,4,6,1] => 5
[2,3,5,6,1,4] => 4
[2,3,5,6,4,1] => 9
[2,3,6,1,4,5] => 3
[2,3,6,1,5,4] => 3
[2,3,6,4,1,5] => 7
[2,3,6,4,5,1] => 8
[2,3,6,5,1,4] => 4
[2,3,6,5,4,1] => 5
[2,4,1,3,5,6] => 2
[2,4,1,3,6,5] => 2
[2,4,1,5,3,6] => 6
[2,4,1,5,6,3] => 7
[2,4,1,6,3,5] => 6
[2,4,1,6,5,3] => 7
[2,4,3,1,5,6] => 3
[2,4,3,1,6,5] => 3
[2,4,3,5,1,6] => 4
[2,4,3,5,6,1] => 5
[2,4,3,6,1,5] => 4
[2,4,3,6,5,1] => 5
[2,4,5,1,3,6] => 3
[2,4,5,1,6,3] => 8
[2,4,5,3,1,6] => 7
[2,4,5,3,6,1] => 8
[2,4,5,6,1,3] => 4
[2,4,5,6,3,1] => 9
[2,4,6,1,3,5] => 3
[2,4,6,1,5,3] => 8
[2,4,6,3,1,5] => 7
[2,4,6,3,5,1] => 8
[2,4,6,5,1,3] => 4
[2,4,6,5,3,1] => 9
[2,5,1,3,4,6] => 2
[2,5,1,3,6,4] => 7
[2,5,1,4,3,6] => 2
[2,5,1,4,6,3] => 7
[2,5,1,6,3,4] => 6
[2,5,1,6,4,3] => 6
[2,5,3,1,4,6] => 5
[2,5,3,1,6,4] => 10
[2,5,3,4,1,6] => 6
[2,5,3,4,6,1] => 7
[2,5,3,6,1,4] => 6
[2,5,3,6,4,1] => 11
[2,5,4,1,3,6] => 3
[2,5,4,1,6,3] => 8
[2,5,4,3,1,6] => 4
[2,5,4,3,6,1] => 5
[2,5,4,6,1,3] => 4
[2,5,4,6,3,1] => 9
[2,5,6,1,3,4] => 3
[2,5,6,1,4,3] => 3
[2,5,6,3,1,4] => 7
[2,5,6,3,4,1] => 8
[2,5,6,4,1,3] => 7
[2,5,6,4,3,1] => 8
[2,6,1,3,4,5] => 2
[2,6,1,3,5,4] => 2
[2,6,1,4,3,5] => 2
[2,6,1,4,5,3] => 7
[2,6,1,5,3,4] => 6
[2,6,1,5,4,3] => 2
[2,6,3,1,4,5] => 5
[2,6,3,1,5,4] => 5
[2,6,3,4,1,5] => 6
[2,6,3,4,5,1] => 7
[2,6,3,5,1,4] => 6
[2,6,3,5,4,1] => 7
[2,6,4,1,3,5] => 5
[2,6,4,1,5,3] => 10
[2,6,4,3,1,5] => 6
[2,6,4,3,5,1] => 7
[2,6,4,5,1,3] => 6
[2,6,4,5,3,1] => 11
[2,6,5,1,3,4] => 3
[2,6,5,1,4,3] => 3
[2,6,5,3,1,4] => 7
[2,6,5,3,4,1] => 8
[2,6,5,4,1,3] => 4
[2,6,5,4,3,1] => 5
[3,1,2,4,5,6] => 1
[3,1,2,4,6,5] => 1
[3,1,2,5,4,6] => 1
[3,1,2,5,6,4] => 6
[3,1,2,6,4,5] => 5
[3,1,2,6,5,4] => 1
[3,1,4,2,5,6] => 4
[3,1,4,2,6,5] => 4
[3,1,4,5,2,6] => 5
[3,1,4,5,6,2] => 6
[3,1,4,6,2,5] => 5
[3,1,4,6,5,2] => 6
[3,1,5,2,4,6] => 4
[3,1,5,2,6,4] => 9
[3,1,5,4,2,6] => 5
[3,1,5,4,6,2] => 6
[3,1,5,6,2,4] => 5
[3,1,5,6,4,2] => 10
[3,1,6,2,4,5] => 4
[3,1,6,2,5,4] => 4
[3,1,6,4,2,5] => 8
[3,1,6,4,5,2] => 9
[3,1,6,5,2,4] => 5
[3,1,6,5,4,2] => 6
[3,2,1,4,5,6] => 0
[3,2,1,4,6,5] => 0
[3,2,1,5,4,6] => 0
[3,2,1,5,6,4] => 5
[3,2,1,6,4,5] => 4
[3,2,1,6,5,4] => 0
[3,2,4,1,5,6] => 3
[3,2,4,1,6,5] => 3
[3,2,4,5,1,6] => 4
[3,2,4,5,6,1] => 5
[3,2,4,6,1,5] => 4
[3,2,4,6,5,1] => 5
[3,2,5,1,4,6] => 3
[3,2,5,1,6,4] => 8
[3,2,5,4,1,6] => 4
[3,2,5,4,6,1] => 5
[3,2,5,6,1,4] => 4
[3,2,5,6,4,1] => 9
[3,2,6,1,4,5] => 3
[3,2,6,1,5,4] => 3
[3,2,6,4,1,5] => 7
[3,2,6,4,5,1] => 8
[3,2,6,5,1,4] => 4
[3,2,6,5,4,1] => 5
[3,4,1,2,5,6] => 2
[3,4,1,2,6,5] => 2
[3,4,1,5,2,6] => 6
[3,4,1,5,6,2] => 7
[3,4,1,6,2,5] => 6
[3,4,1,6,5,2] => 7
[3,4,2,1,5,6] => 2
[3,4,2,1,6,5] => 2
[3,4,2,5,1,6] => 6
[3,4,2,5,6,1] => 7
[3,4,2,6,1,5] => 6
[3,4,2,6,5,1] => 7
[3,4,5,1,2,6] => 3
[3,4,5,1,6,2] => 8
[3,4,5,2,1,6] => 3
[3,4,5,2,6,1] => 8
[3,4,5,6,1,2] => 4
[3,4,5,6,2,1] => 4
[3,4,6,1,2,5] => 3
[3,4,6,1,5,2] => 8
[3,4,6,2,1,5] => 3
[3,4,6,2,5,1] => 8
[3,4,6,5,1,2] => 4
[3,4,6,5,2,1] => 4
[3,5,1,2,4,6] => 2
[3,5,1,2,6,4] => 7
[3,5,1,4,2,6] => 6
[3,5,1,4,6,2] => 7
[3,5,1,6,2,4] => 6
[3,5,1,6,4,2] => 11
[3,5,2,1,4,6] => 2
[3,5,2,1,6,4] => 7
[3,5,2,4,1,6] => 6
[3,5,2,4,6,1] => 7
[3,5,2,6,1,4] => 6
[3,5,2,6,4,1] => 11
[3,5,4,1,2,6] => 3
[3,5,4,1,6,2] => 8
[3,5,4,2,1,6] => 3
[3,5,4,2,6,1] => 8
[3,5,4,6,1,2] => 4
[3,5,4,6,2,1] => 4
[3,5,6,1,2,4] => 3
[3,5,6,1,4,2] => 8
[3,5,6,2,1,4] => 3
[3,5,6,2,4,1] => 8
[3,5,6,4,1,2] => 7
[3,5,6,4,2,1] => 7
[3,6,1,2,4,5] => 2
[3,6,1,2,5,4] => 2
[3,6,1,4,2,5] => 6
[3,6,1,4,5,2] => 7
[3,6,1,5,2,4] => 6
[3,6,1,5,4,2] => 7
[3,6,2,1,4,5] => 2
[3,6,2,1,5,4] => 2
[3,6,2,4,1,5] => 6
[3,6,2,4,5,1] => 7
[3,6,2,5,1,4] => 6
[3,6,2,5,4,1] => 7
[3,6,4,1,2,5] => 5
[3,6,4,1,5,2] => 10
[3,6,4,2,1,5] => 5
[3,6,4,2,5,1] => 10
[3,6,4,5,1,2] => 6
[3,6,4,5,2,1] => 6
[3,6,5,1,2,4] => 3
[3,6,5,1,4,2] => 8
[3,6,5,2,1,4] => 3
[3,6,5,2,4,1] => 8
[3,6,5,4,1,2] => 4
[3,6,5,4,2,1] => 4
[4,1,2,3,5,6] => 1
[4,1,2,3,6,5] => 1
[4,1,2,5,3,6] => 5
[4,1,2,5,6,3] => 6
[4,1,2,6,3,5] => 5
[4,1,2,6,5,3] => 6
[4,1,3,2,5,6] => 1
[4,1,3,2,6,5] => 1
[4,1,3,5,2,6] => 5
[4,1,3,5,6,2] => 6
[4,1,3,6,2,5] => 5
[4,1,3,6,5,2] => 6
[4,1,5,2,3,6] => 4
[4,1,5,2,6,3] => 9
[4,1,5,3,2,6] => 4
[4,1,5,3,6,2] => 9
[4,1,5,6,2,3] => 5
[4,1,5,6,3,2] => 5
[4,1,6,2,3,5] => 4
[4,1,6,2,5,3] => 9
[4,1,6,3,2,5] => 4
[4,1,6,3,5,2] => 9
[4,1,6,5,2,3] => 5
[4,1,6,5,3,2] => 5
[4,2,1,3,5,6] => 1
[4,2,1,3,6,5] => 1
[4,2,1,5,3,6] => 5
[4,2,1,5,6,3] => 6
[4,2,1,6,3,5] => 5
[4,2,1,6,5,3] => 6
[4,2,3,1,5,6] => 4
[4,2,3,1,6,5] => 4
[4,2,3,5,1,6] => 5
[4,2,3,5,6,1] => 6
[4,2,3,6,1,5] => 5
[4,2,3,6,5,1] => 6
[4,2,5,1,3,6] => 4
[4,2,5,1,6,3] => 9
[4,2,5,3,1,6] => 8
[4,2,5,3,6,1] => 9
[4,2,5,6,1,3] => 5
[4,2,5,6,3,1] => 10
[4,2,6,1,3,5] => 4
[4,2,6,1,5,3] => 9
[4,2,6,3,1,5] => 8
[4,2,6,3,5,1] => 9
[4,2,6,5,1,3] => 5
[4,2,6,5,3,1] => 10
[4,3,1,2,5,6] => 2
[4,3,1,2,6,5] => 2
[4,3,1,5,2,6] => 6
[4,3,1,5,6,2] => 7
[4,3,1,6,2,5] => 6
[4,3,1,6,5,2] => 7
[4,3,2,1,5,6] => 0
[4,3,2,1,6,5] => 0
[4,3,2,5,1,6] => 4
[4,3,2,5,6,1] => 5
[4,3,2,6,1,5] => 4
[4,3,2,6,5,1] => 5
[4,3,5,1,2,6] => 3
[4,3,5,1,6,2] => 8
[4,3,5,2,1,6] => 3
[4,3,5,2,6,1] => 8
[4,3,5,6,1,2] => 4
[4,3,5,6,2,1] => 4
[4,3,6,1,2,5] => 3
[4,3,6,1,5,2] => 8
[4,3,6,2,1,5] => 3
[4,3,6,2,5,1] => 8
[4,3,6,5,1,2] => 4
[4,3,6,5,2,1] => 4
[4,5,1,2,3,6] => 2
[4,5,1,2,6,3] => 7
[4,5,1,3,2,6] => 2
[4,5,1,3,6,2] => 7
[4,5,1,6,2,3] => 6
[4,5,1,6,3,2] => 6
[4,5,2,1,3,6] => 2
[4,5,2,1,6,3] => 7
[4,5,2,3,1,6] => 6
[4,5,2,3,6,1] => 7
[4,5,2,6,1,3] => 6
[4,5,2,6,3,1] => 11
[4,5,3,1,2,6] => 5
[4,5,3,1,6,2] => 10
[4,5,3,2,1,6] => 2
[4,5,3,2,6,1] => 7
[4,5,3,6,1,2] => 6
[4,5,3,6,2,1] => 6
[4,5,6,1,2,3] => 3
[4,5,6,1,3,2] => 3
[4,5,6,2,1,3] => 3
[4,5,6,2,3,1] => 8
[4,5,6,3,1,2] => 7
[4,5,6,3,2,1] => 3
[4,6,1,2,3,5] => 2
[4,6,1,2,5,3] => 7
[4,6,1,3,2,5] => 2
[4,6,1,3,5,2] => 7
[4,6,1,5,2,3] => 6
[4,6,1,5,3,2] => 6
[4,6,2,1,3,5] => 2
[4,6,2,1,5,3] => 7
[4,6,2,3,1,5] => 6
[4,6,2,3,5,1] => 7
[4,6,2,5,1,3] => 6
[4,6,2,5,3,1] => 11
[4,6,3,1,2,5] => 5
[4,6,3,1,5,2] => 10
[4,6,3,2,1,5] => 2
[4,6,3,2,5,1] => 7
[4,6,3,5,1,2] => 6
[4,6,3,5,2,1] => 6
[4,6,5,1,2,3] => 3
[4,6,5,1,3,2] => 3
[4,6,5,2,1,3] => 3
[4,6,5,2,3,1] => 8
[4,6,5,3,1,2] => 7
[4,6,5,3,2,1] => 3
[5,1,2,3,4,6] => 1
[5,1,2,3,6,4] => 6
[5,1,2,4,3,6] => 1
[5,1,2,4,6,3] => 6
[5,1,2,6,3,4] => 5
[5,1,2,6,4,3] => 5
[5,1,3,2,4,6] => 1
[5,1,3,2,6,4] => 6
[5,1,3,4,2,6] => 5
[5,1,3,4,6,2] => 6
[5,1,3,6,2,4] => 5
[5,1,3,6,4,2] => 10
[5,1,4,2,3,6] => 4
[5,1,4,2,6,3] => 9
[5,1,4,3,2,6] => 1
[5,1,4,3,6,2] => 6
[5,1,4,6,2,3] => 5
[5,1,4,6,3,2] => 5
[5,1,6,2,3,4] => 4
[5,1,6,2,4,3] => 4
[5,1,6,3,2,4] => 4
[5,1,6,3,4,2] => 9
[5,1,6,4,2,3] => 8
[5,1,6,4,3,2] => 4
[5,2,1,3,4,6] => 1
[5,2,1,3,6,4] => 6
[5,2,1,4,3,6] => 1
[5,2,1,4,6,3] => 6
[5,2,1,6,3,4] => 5
[5,2,1,6,4,3] => 5
[5,2,3,1,4,6] => 4
[5,2,3,1,6,4] => 9
[5,2,3,4,1,6] => 5
[5,2,3,4,6,1] => 6
[5,2,3,6,1,4] => 5
[5,2,3,6,4,1] => 10
[5,2,4,1,3,6] => 4
[5,2,4,1,6,3] => 9
[5,2,4,3,1,6] => 5
[5,2,4,3,6,1] => 6
[5,2,4,6,1,3] => 5
[5,2,4,6,3,1] => 10
[5,2,6,1,3,4] => 4
[5,2,6,1,4,3] => 4
[5,2,6,3,1,4] => 8
[5,2,6,3,4,1] => 9
[5,2,6,4,1,3] => 8
[5,2,6,4,3,1] => 9
[5,3,1,2,4,6] => 3
[5,3,1,2,6,4] => 8
[5,3,1,4,2,6] => 7
[5,3,1,4,6,2] => 8
[5,3,1,6,2,4] => 7
[5,3,1,6,4,2] => 12
[5,3,2,1,4,6] => 1
[5,3,2,1,6,4] => 6
[5,3,2,4,1,6] => 5
[5,3,2,4,6,1] => 6
[5,3,2,6,1,4] => 5
[5,3,2,6,4,1] => 10
[5,3,4,1,2,6] => 4
[5,3,4,1,6,2] => 9
[5,3,4,2,1,6] => 4
[5,3,4,2,6,1] => 9
[5,3,4,6,1,2] => 5
[5,3,4,6,2,1] => 5
[5,3,6,1,2,4] => 4
[5,3,6,1,4,2] => 9
[5,3,6,2,1,4] => 4
[5,3,6,2,4,1] => 9
[5,3,6,4,1,2] => 8
[5,3,6,4,2,1] => 8
[5,4,1,2,3,6] => 2
[5,4,1,2,6,3] => 7
[5,4,1,3,2,6] => 2
[5,4,1,3,6,2] => 7
[5,4,1,6,2,3] => 6
[5,4,1,6,3,2] => 6
[5,4,2,1,3,6] => 2
[5,4,2,1,6,3] => 7
[5,4,2,3,1,6] => 6
[5,4,2,3,6,1] => 7
[5,4,2,6,1,3] => 6
[5,4,2,6,3,1] => 11
[5,4,3,1,2,6] => 3
[5,4,3,1,6,2] => 8
[5,4,3,2,1,6] => 0
[5,4,3,2,6,1] => 5
[5,4,3,6,1,2] => 4
[5,4,3,6,2,1] => 4
[5,4,6,1,2,3] => 3
[5,4,6,1,3,2] => 3
[5,4,6,2,1,3] => 3
[5,4,6,2,3,1] => 8
[5,4,6,3,1,2] => 7
[5,4,6,3,2,1] => 3
[5,6,1,2,3,4] => 2
[5,6,1,2,4,3] => 2
[5,6,1,3,2,4] => 2
[5,6,1,3,4,2] => 7
[5,6,1,4,2,3] => 6
[5,6,1,4,3,2] => 2
[5,6,2,1,3,4] => 2
[5,6,2,1,4,3] => 2
[5,6,2,3,1,4] => 6
[5,6,2,3,4,1] => 7
[5,6,2,4,1,3] => 6
[5,6,2,4,3,1] => 7
[5,6,3,1,2,4] => 5
[5,6,3,1,4,2] => 10
[5,6,3,2,1,4] => 2
[5,6,3,2,4,1] => 7
[5,6,3,4,1,2] => 6
[5,6,3,4,2,1] => 6
[5,6,4,1,2,3] => 5
[5,6,4,1,3,2] => 5
[5,6,4,2,1,3] => 5
[5,6,4,2,3,1] => 10
[5,6,4,3,1,2] => 6
[5,6,4,3,2,1] => 2
[6,1,2,3,4,5] => 1
[6,1,2,3,5,4] => 1
[6,1,2,4,3,5] => 1
[6,1,2,4,5,3] => 6
[6,1,2,5,3,4] => 5
[6,1,2,5,4,3] => 1
[6,1,3,2,4,5] => 1
[6,1,3,2,5,4] => 1
[6,1,3,4,2,5] => 5
[6,1,3,4,5,2] => 6
[6,1,3,5,2,4] => 5
[6,1,3,5,4,2] => 6
[6,1,4,2,3,5] => 4
[6,1,4,2,5,3] => 9
[6,1,4,3,2,5] => 1
[6,1,4,3,5,2] => 6
[6,1,4,5,2,3] => 5
[6,1,4,5,3,2] => 5
[6,1,5,2,3,4] => 4
[6,1,5,2,4,3] => 4
[6,1,5,3,2,4] => 4
[6,1,5,3,4,2] => 9
[6,1,5,4,2,3] => 5
[6,1,5,4,3,2] => 1
[6,2,1,3,4,5] => 1
[6,2,1,3,5,4] => 1
[6,2,1,4,3,5] => 1
[6,2,1,4,5,3] => 6
[6,2,1,5,3,4] => 5
[6,2,1,5,4,3] => 1
[6,2,3,1,4,5] => 4
[6,2,3,1,5,4] => 4
[6,2,3,4,1,5] => 5
[6,2,3,4,5,1] => 6
[6,2,3,5,1,4] => 5
[6,2,3,5,4,1] => 6
[6,2,4,1,3,5] => 4
[6,2,4,1,5,3] => 9
[6,2,4,3,1,5] => 5
[6,2,4,3,5,1] => 6
[6,2,4,5,1,3] => 5
[6,2,4,5,3,1] => 10
[6,2,5,1,3,4] => 4
[6,2,5,1,4,3] => 4
[6,2,5,3,1,4] => 8
[6,2,5,3,4,1] => 9
[6,2,5,4,1,3] => 5
[6,2,5,4,3,1] => 6
[6,3,1,2,4,5] => 3
[6,3,1,2,5,4] => 3
[6,3,1,4,2,5] => 7
[6,3,1,4,5,2] => 8
[6,3,1,5,2,4] => 7
[6,3,1,5,4,2] => 8
[6,3,2,1,4,5] => 1
[6,3,2,1,5,4] => 1
[6,3,2,4,1,5] => 5
[6,3,2,4,5,1] => 6
[6,3,2,5,1,4] => 5
[6,3,2,5,4,1] => 6
[6,3,4,1,2,5] => 4
[6,3,4,1,5,2] => 9
[6,3,4,2,1,5] => 4
[6,3,4,2,5,1] => 9
[6,3,4,5,1,2] => 5
[6,3,4,5,2,1] => 5
[6,3,5,1,2,4] => 4
[6,3,5,1,4,2] => 9
[6,3,5,2,1,4] => 4
[6,3,5,2,4,1] => 9
[6,3,5,4,1,2] => 5
[6,3,5,4,2,1] => 5
[6,4,1,2,3,5] => 3
[6,4,1,2,5,3] => 8
[6,4,1,3,2,5] => 3
[6,4,1,3,5,2] => 8
[6,4,1,5,2,3] => 7
[6,4,1,5,3,2] => 7
[6,4,2,1,3,5] => 3
[6,4,2,1,5,3] => 8
[6,4,2,3,1,5] => 7
[6,4,2,3,5,1] => 8
[6,4,2,5,1,3] => 7
[6,4,2,5,3,1] => 12
[6,4,3,1,2,5] => 4
[6,4,3,1,5,2] => 9
[6,4,3,2,1,5] => 1
[6,4,3,2,5,1] => 6
[6,4,3,5,1,2] => 5
[6,4,3,5,2,1] => 5
[6,4,5,1,2,3] => 4
[6,4,5,1,3,2] => 4
[6,4,5,2,1,3] => 4
[6,4,5,2,3,1] => 9
[6,4,5,3,1,2] => 8
[6,4,5,3,2,1] => 4
[6,5,1,2,3,4] => 2
[6,5,1,2,4,3] => 2
[6,5,1,3,2,4] => 2
[6,5,1,3,4,2] => 7
[6,5,1,4,2,3] => 6
[6,5,1,4,3,2] => 2
[6,5,2,1,3,4] => 2
[6,5,2,1,4,3] => 2
[6,5,2,3,1,4] => 6
[6,5,2,3,4,1] => 7
[6,5,2,4,1,3] => 6
[6,5,2,4,3,1] => 7
[6,5,3,1,2,4] => 5
[6,5,3,1,4,2] => 10
[6,5,3,2,1,4] => 2
[6,5,3,2,4,1] => 7
[6,5,3,4,1,2] => 6
[6,5,3,4,2,1] => 6
[6,5,4,1,2,3] => 3
[6,5,4,1,3,2] => 3
[6,5,4,2,1,3] => 3
[6,5,4,2,3,1] => 8
[6,5,4,3,1,2] => 4
[6,5,4,3,2,1] => 0
[1,2,3,5,4,6,7] => 0
[1,2,3,5,4,7,6] => 0
[1,2,3,5,7,4,6] => 5
[1,2,3,5,7,6,4] => 6
[1,2,3,6,4,7,5] => 10
[1,2,3,7,4,5,6] => 4
[1,2,3,7,4,6,5] => 4
[1,2,3,7,5,6,4] => 10
[1,2,3,7,6,5,4] => 0
[1,2,4,3,6,7,5] => 6
[1,2,4,3,7,6,5] => 0
[1,2,4,5,3,6,7] => 4
[1,2,4,6,3,5,7] => 4
[1,2,4,6,3,7,5] => 10
[1,2,4,6,7,5,3] => 11
[1,2,4,7,3,6,5] => 4
[1,2,4,7,5,3,6] => 9
[1,2,4,7,5,6,3] => 10
[1,2,5,3,4,7,6] => 3
[1,2,5,3,7,6,4] => 9
[1,2,5,4,3,6,7] => 0
[1,2,5,4,6,3,7] => 5
[1,2,5,4,7,3,6] => 5
[1,2,5,6,3,4,7] => 4
[1,2,6,3,4,5,7] => 3
[1,2,6,3,4,7,5] => 9
[1,2,6,4,3,7,5] => 9
[1,2,6,5,4,7,3] => 6
[1,2,6,5,7,3,4] => 5
[1,2,6,7,4,3,5] => 4
[1,2,6,7,4,5,3] => 10
[1,2,7,3,4,5,6] => 3
[1,2,7,3,5,4,6] => 3
[1,2,7,3,5,6,4] => 9
[1,2,7,4,6,3,5] => 8
[1,2,7,5,3,4,6] => 7
[1,2,7,5,3,6,4] => 13
[1,2,7,5,4,6,3] => 9
[1,2,7,5,6,4,3] => 8
[1,2,7,6,4,3,5] => 4
[1,2,7,6,4,5,3] => 10
[1,2,7,6,5,3,4] => 5
[1,3,2,4,5,7,6] => 0
[1,3,2,4,6,7,5] => 6
[1,3,2,4,7,5,6] => 5
[1,3,2,5,7,6,4] => 6
[1,3,2,6,4,5,7] => 4
[1,3,2,6,5,4,7] => 0
[1,3,2,6,5,7,4] => 6
[1,3,2,6,7,5,4] => 5
[1,3,2,7,4,6,5] => 4
[1,3,2,7,6,4,5] => 5
[1,3,2,7,6,5,4] => 0
[1,3,4,2,7,6,5] => 3
[1,3,4,5,7,6,2] => 6
[1,3,4,6,2,5,7] => 4
[1,3,4,6,5,2,7] => 5
[1,3,4,6,7,5,2] => 11
[1,3,4,7,2,5,6] => 4
[1,3,4,7,5,2,6] => 9
[1,3,5,2,6,4,7] => 8
[1,3,5,2,7,6,4] => 9
[1,3,5,4,2,6,7] => 4
[1,3,5,4,6,7,2] => 6
[1,3,5,4,7,6,2] => 6
[1,3,5,6,2,4,7] => 4
[1,3,5,6,4,2,7] => 9
[1,3,5,6,4,7,2] => 10
[1,3,5,7,6,2,4] => 5
[1,3,6,2,5,4,7] => 3
[1,3,6,5,2,7,4] => 10
[1,3,6,5,4,2,7] => 5
[1,3,6,7,2,4,5] => 4
[1,3,6,7,4,5,2] => 10
[1,3,6,7,5,4,2] => 10
[1,3,7,2,5,4,6] => 3
[1,3,7,2,6,4,5] => 8
[1,3,7,4,5,2,6] => 8
[1,3,7,4,5,6,2] => 9
[1,3,7,4,6,2,5] => 8
[1,3,7,4,6,5,2] => 9
[1,3,7,5,2,6,4] => 13
[1,3,7,5,4,6,2] => 9
[1,3,7,5,6,2,4] => 8
[1,3,7,6,2,5,4] => 4
[1,3,7,6,4,2,5] => 9
[1,3,7,6,5,2,4] => 5
[1,3,7,6,5,4,2] => 6
[1,4,2,3,6,5,7] => 2
[1,4,2,5,6,3,7] => 7
[1,4,2,6,3,7,5] => 12
[1,4,2,7,5,3,6] => 11
[1,4,2,7,5,6,3] => 12
[1,4,2,7,6,5,3] => 8
[1,4,3,2,6,5,7] => 0
[1,4,3,2,7,5,6] => 5
[1,4,3,5,2,7,6] => 4
[1,4,3,5,6,2,7] => 5
[1,4,3,5,7,6,2] => 6
[1,4,3,6,2,7,5] => 10
[1,4,3,6,5,2,7] => 5
[1,4,3,6,5,7,2] => 6
[1,4,3,6,7,2,5] => 5
[1,4,3,6,7,5,2] => 11
[1,4,3,7,2,6,5] => 4
[1,4,3,7,6,2,5] => 5
[1,4,5,2,6,7,3] => 9
[1,4,5,3,6,2,7] => 8
[1,4,5,3,7,2,6] => 8
[1,4,5,3,7,6,2] => 9
[1,4,5,6,3,7,2] => 10
[1,4,5,6,7,2,3] => 5
[1,4,5,7,2,3,6] => 4
[1,4,5,7,2,6,3] => 10
[1,4,5,7,3,2,6] => 4
[1,4,5,7,3,6,2] => 10
[1,4,5,7,6,3,2] => 5
[1,4,6,2,3,7,5] => 9
[1,4,6,2,5,3,7] => 8
[1,4,6,2,7,3,5] => 8
[1,4,6,3,2,7,5] => 9
[1,4,6,3,5,2,7] => 8
[1,4,6,3,5,7,2] => 9
[1,4,6,3,7,2,5] => 8
[1,4,6,3,7,5,2] => 14
[1,4,6,5,3,2,7] => 4
[1,4,6,7,2,3,5] => 4
[1,4,7,2,3,5,6] => 3
[1,4,7,2,5,3,6] => 8
[1,4,7,2,6,3,5] => 8
[1,4,7,3,5,2,6] => 8
[1,4,7,3,6,5,2] => 9
[1,4,7,5,2,3,6] => 7
[1,4,7,5,2,6,3] => 13
[1,4,7,5,3,6,2] => 13
[1,4,7,6,2,3,5] => 4
[1,4,7,6,3,2,5] => 4
[1,4,7,6,3,5,2] => 10
[1,4,7,6,5,2,3] => 5
[1,5,2,3,4,6,7] => 2
[1,5,2,3,6,4,7] => 7
[1,5,2,3,6,7,4] => 8
[1,5,2,3,7,6,4] => 8
[1,5,2,4,3,7,6] => 2
[1,5,2,4,7,3,6] => 7
[1,5,2,6,7,4,3] => 7
[1,5,2,7,4,3,6] => 6
[1,5,3,2,7,4,6] => 7
[1,5,3,4,2,7,6] => 6
[1,5,3,4,6,2,7] => 7
[1,5,3,4,7,6,2] => 8
[1,5,3,6,2,4,7] => 6
[1,5,3,6,4,7,2] => 12
[1,5,3,7,2,4,6] => 6
[1,5,3,7,2,6,4] => 12
[1,5,3,7,6,2,4] => 7
[1,5,4,2,3,6,7] => 3
[1,5,4,2,6,3,7] => 8
[1,5,4,2,6,7,3] => 9
[1,5,4,3,7,2,6] => 5
[1,5,4,6,3,2,7] => 4
[1,5,4,6,3,7,2] => 10
[1,5,4,7,2,6,3] => 10
[1,5,4,7,3,2,6] => 4
[1,5,6,2,3,7,4] => 9
[1,5,6,2,4,3,7] => 3
[1,5,6,2,7,4,3] => 8
[1,5,6,3,2,7,4] => 9
[1,5,6,3,4,2,7] => 8
[1,5,6,3,4,7,2] => 9
[1,5,6,3,7,2,4] => 8
[1,5,6,4,2,3,7] => 7
[1,5,6,4,3,2,7] => 3
[1,5,6,4,3,7,2] => 9
[1,5,6,4,7,2,3] => 8
[1,5,6,7,2,3,4] => 4
[1,5,6,7,2,4,3] => 4
[1,5,6,7,3,4,2] => 10
[1,5,6,7,4,3,2] => 4
[1,5,7,2,4,3,6] => 3
[1,5,7,2,6,3,4] => 8
[1,5,7,3,2,4,6] => 3
[1,5,7,3,4,2,6] => 8
[1,5,7,3,4,6,2] => 9
[1,5,7,4,2,6,3] => 13
[1,5,7,4,3,6,2] => 9
[1,5,7,6,3,4,2] => 10
[1,5,7,6,4,2,3] => 9
[1,5,7,6,4,3,2] => 4
[1,6,2,3,4,5,7] => 2
[1,6,2,3,5,7,4] => 8
[1,6,2,3,7,4,5] => 7
[1,6,2,3,7,5,4] => 7
[1,6,2,4,5,7,3] => 8
[1,6,2,5,4,7,3] => 8
[1,6,2,5,7,3,4] => 7
[1,6,2,7,3,4,5] => 6
[1,6,2,7,4,5,3] => 12
[1,6,2,7,5,3,4] => 11
[1,6,3,2,4,5,7] => 2
[1,6,3,2,4,7,5] => 8
[1,6,3,2,5,4,7] => 2
[1,6,3,2,5,7,4] => 8
[1,6,3,2,7,5,4] => 7
[1,6,3,4,2,5,7] => 6
[1,6,3,4,7,2,5] => 7
[1,6,3,4,7,5,2] => 13
[1,6,3,5,2,4,7] => 6
[1,6,3,5,2,7,4] => 12
[1,6,3,5,4,7,2] => 8
[1,6,3,7,2,5,4] => 6
[1,6,3,7,5,2,4] => 11
[1,6,4,2,5,3,7] => 10
[1,6,4,2,5,7,3] => 11
[1,6,4,2,7,3,5] => 10
[1,6,4,3,2,5,7] => 2
[1,6,4,3,2,7,5] => 8
[1,6,4,5,2,3,7] => 6
[1,6,4,5,2,7,3] => 12
[1,6,5,2,4,7,3] => 9
[1,6,5,3,4,7,2] => 9
[1,6,5,3,7,2,4] => 8
[1,6,5,4,2,3,7] => 4
[1,6,5,4,2,7,3] => 10
[1,6,5,4,3,7,2] => 6
[1,6,5,4,7,2,3] => 5
[1,6,5,4,7,3,2] => 5
[1,6,5,7,4,3,2] => 4
[1,6,7,2,3,5,4] => 3
[1,6,7,2,4,3,5] => 3
[1,6,7,2,5,4,3] => 3
[1,6,7,3,2,4,5] => 3
[1,6,7,3,4,2,5] => 8
[1,6,7,3,4,5,2] => 9
[1,6,7,3,5,4,2] => 9
[1,6,7,4,3,5,2] => 9
[1,6,7,4,5,2,3] => 8
[1,6,7,4,5,3,2] => 8
[1,6,7,5,4,2,3] => 8
[1,7,2,3,4,6,5] => 2
[1,7,2,3,5,6,4] => 8
[1,7,2,3,6,5,4] => 2
[1,7,2,4,3,5,6] => 2
[1,7,2,4,5,3,6] => 7
[1,7,2,4,5,6,3] => 8
[1,7,2,5,3,6,4] => 12
[1,7,2,5,4,3,6] => 2
[1,7,2,5,6,3,4] => 7
[1,7,2,6,3,4,5] => 6
[1,7,2,6,3,5,4] => 6
[1,7,2,6,4,5,3] => 12
[1,7,3,2,5,4,6] => 2
[1,7,3,2,6,4,5] => 7
[1,7,3,2,6,5,4] => 2
[1,7,3,4,2,5,6] => 6
[1,7,3,4,2,6,5] => 6
[1,7,3,4,5,6,2] => 8
[1,7,3,4,6,2,5] => 7
[1,7,3,4,6,5,2] => 8
[1,7,3,5,4,6,2] => 8
[1,7,3,6,2,4,5] => 6
[1,7,3,6,4,2,5] => 11
[1,7,3,6,5,2,4] => 7
[1,7,4,2,5,3,6] => 10
[1,7,4,2,5,6,3] => 11
[1,7,4,2,6,3,5] => 10
[1,7,4,3,2,6,5] => 2
[1,7,4,3,6,5,2] => 8
[1,7,4,5,2,3,6] => 6
[1,7,4,5,3,2,6] => 6
[1,7,4,6,2,5,3] => 12
[1,7,4,6,3,5,2] => 12
[1,7,4,6,5,2,3] => 7
[1,7,4,6,5,3,2] => 7
[1,7,5,2,3,6,4] => 11
[1,7,5,2,4,3,6] => 5
[1,7,5,2,4,6,3] => 11
[1,7,5,2,6,3,4] => 10
[1,7,5,3,6,2,4] => 10
[1,7,5,3,6,4,2] => 16
[1,7,5,4,3,2,6] => 2
[1,7,5,4,6,2,3] => 7
[1,7,5,6,2,3,4] => 6
[1,7,5,6,3,2,4] => 6
[1,7,5,6,3,4,2] => 12
[1,7,5,6,4,2,3] => 11
[1,7,5,6,4,3,2] => 6
[1,7,6,2,3,5,4] => 3
[1,7,6,2,4,3,5] => 3
[1,7,6,3,5,4,2] => 9
[1,7,6,4,2,3,5] => 7
[1,7,6,4,2,5,3] => 13
[1,7,6,5,2,4,3] => 4
[1,7,6,5,4,2,3] => 5
[1,7,6,5,4,3,2] => 0
[2,1,3,4,5,7,6] => 0
[2,1,3,5,4,7,6] => 0
[2,1,3,6,5,4,7] => 0
[2,1,3,6,5,7,4] => 6
[2,1,3,7,5,4,6] => 4
[2,1,3,7,5,6,4] => 10
[2,1,3,7,6,5,4] => 0
[2,1,4,3,5,7,6] => 0
[2,1,4,3,6,5,7] => 0
[2,1,4,3,6,7,5] => 6
[2,1,4,5,3,7,6] => 4
[2,1,4,5,6,3,7] => 5
[2,1,4,5,7,6,3] => 6
[2,1,4,6,3,5,7] => 4
[2,1,4,6,7,5,3] => 11
[2,1,4,7,3,6,5] => 4
[2,1,4,7,6,3,5] => 5
[2,1,4,7,6,5,3] => 6
[2,1,5,4,3,7,6] => 0
[2,1,5,6,3,4,7] => 4
[2,1,5,6,3,7,4] => 10
[2,1,5,6,4,3,7] => 4
[2,1,5,6,4,7,3] => 10
[2,1,5,7,3,6,4] => 10
[2,1,5,7,4,3,6] => 4
[2,1,5,7,4,6,3] => 10
[2,1,6,3,4,5,7] => 3
[2,1,6,3,5,4,7] => 3
[2,1,6,5,3,7,4] => 10
[2,1,6,5,4,7,3] => 6
[2,1,7,3,5,6,4] => 9
[2,1,7,3,6,5,4] => 3
[2,1,7,4,3,6,5] => 3
[2,1,7,4,5,6,3] => 9
[2,1,7,4,6,3,5] => 8
[2,1,7,5,3,4,6] => 7
[2,1,7,5,3,6,4] => 13
[2,1,7,5,6,4,3] => 8
[2,1,7,6,3,4,5] => 4
[2,1,7,6,3,5,4] => 4
[2,1,7,6,5,4,3] => 0
[2,3,1,4,5,6,7] => 2
[2,3,1,4,6,5,7] => 2
[2,3,1,5,4,6,7] => 2
[2,3,1,5,6,4,7] => 7
[2,3,1,5,6,7,4] => 8
[2,3,1,5,7,4,6] => 7
[2,3,1,6,4,7,5] => 12
[2,3,1,6,5,4,7] => 2
[2,3,1,6,5,7,4] => 8
[2,3,1,6,7,4,5] => 7
[2,3,1,7,6,5,4] => 2
[2,3,4,1,5,6,7] => 3
[2,3,4,1,5,7,6] => 3
[2,3,4,1,6,5,7] => 3
[2,3,4,1,7,5,6] => 8
[2,3,4,5,1,6,7] => 4
[2,3,4,7,1,5,6] => 4
[2,3,4,7,1,6,5] => 4
[2,3,4,7,5,1,6] => 9
[2,3,4,7,5,6,1] => 10
[2,3,5,1,4,6,7] => 3
[2,3,5,1,6,4,7] => 8
[2,3,5,1,6,7,4] => 9
[2,3,5,1,7,6,4] => 9
[2,3,5,4,6,7,1] => 6
[2,3,5,7,4,6,1] => 10
[2,3,5,7,6,1,4] => 5
[2,3,5,7,6,4,1] => 11
[2,3,6,1,4,5,7] => 3
[2,3,6,4,5,1,7] => 8
[2,3,6,4,5,7,1] => 9
[2,3,6,4,7,5,1] => 14
[2,3,6,5,1,4,7] => 4
[2,3,6,7,4,1,5] => 9
[2,3,7,1,5,6,4] => 9
[2,3,7,4,1,5,6] => 7
[2,3,7,5,6,1,4] => 8
[2,3,7,6,4,1,5] => 9
[2,3,7,6,4,5,1] => 10
[2,4,1,3,5,6,7] => 2
[2,4,1,5,6,7,3] => 8
[2,4,1,6,5,7,3] => 8
[2,4,1,7,3,5,6] => 6
[2,4,1,7,5,6,3] => 12
[2,4,1,7,6,5,3] => 8
[2,4,3,1,6,5,7] => 3
[2,4,3,1,6,7,5] => 9
[2,4,3,1,7,5,6] => 8
[2,4,3,1,7,6,5] => 3
[2,4,3,5,6,1,7] => 5
[2,4,3,5,7,1,6] => 5
[2,4,3,6,1,5,7] => 4
[2,4,3,6,5,7,1] => 6
[2,4,3,6,7,1,5] => 5
[2,4,3,6,7,5,1] => 11
[2,4,3,7,6,1,5] => 5
[2,4,5,1,6,7,3] => 9
[2,4,5,1,7,6,3] => 9
[2,4,5,3,6,1,7] => 8
[2,4,5,3,6,7,1] => 9
[2,4,5,3,7,6,1] => 9
[2,4,5,6,1,3,7] => 4
[2,4,5,6,1,7,3] => 10
[2,4,5,6,3,1,7] => 9
[2,4,5,6,7,1,3] => 5
[2,4,5,6,7,3,1] => 11
[2,4,5,7,1,3,6] => 4
[2,4,5,7,1,6,3] => 10
[2,4,5,7,6,1,3] => 5
[2,4,6,1,3,5,7] => 3
[2,4,6,1,5,3,7] => 8
[2,4,6,1,7,3,5] => 8
[2,4,6,1,7,5,3] => 14
[2,4,6,3,1,5,7] => 7
[2,4,6,3,7,1,5] => 8
[2,4,6,3,7,5,1] => 14
[2,4,6,5,1,3,7] => 4
[2,4,6,5,1,7,3] => 10
[2,4,6,5,3,7,1] => 10
[2,4,6,5,7,3,1] => 11
[2,4,6,7,3,5,1] => 10
[2,4,6,7,5,3,1] => 15
[2,4,7,1,5,6,3] => 9
[2,4,7,1,6,3,5] => 8
[2,4,7,1,6,5,3] => 9
[2,4,7,3,1,6,5] => 7
[2,4,7,3,5,1,6] => 8
[2,4,7,3,6,5,1] => 9
[2,4,7,5,1,3,6] => 7
[2,4,7,5,1,6,3] => 13
[2,4,7,5,3,6,1] => 13
[2,4,7,5,6,3,1] => 14
[2,4,7,6,1,5,3] => 10
[2,4,7,6,3,1,5] => 9
[2,4,7,6,3,5,1] => 10
[2,4,7,6,5,1,3] => 5
[2,4,7,6,5,3,1] => 11
[2,5,1,3,6,7,4] => 8
[2,5,1,4,3,7,6] => 2
[2,5,1,4,7,3,6] => 7
[2,5,1,6,4,3,7] => 6
[2,5,1,7,3,6,4] => 12
[2,5,1,7,4,6,3] => 12
[2,5,1,7,6,3,4] => 7
[2,5,1,7,6,4,3] => 7
[2,5,3,1,4,6,7] => 5
[2,5,3,1,6,4,7] => 10
[2,5,3,1,6,7,4] => 11
[2,5,3,1,7,6,4] => 11
[2,5,3,4,7,1,6] => 7
[2,5,3,4,7,6,1] => 8
[2,5,3,6,1,7,4] => 12
[2,5,3,6,7,1,4] => 7
[2,5,3,7,1,4,6] => 6
[2,5,3,7,1,6,4] => 12
[2,5,3,7,4,6,1] => 12
[2,5,3,7,6,4,1] => 13
[2,5,4,1,3,6,7] => 3
[2,5,4,3,1,6,7] => 4
[2,5,4,6,1,7,3] => 10
[2,5,4,7,1,3,6] => 4
[2,5,4,7,3,1,6] => 9
[2,5,4,7,6,3,1] => 11
[2,5,6,1,3,4,7] => 3
[2,5,6,1,3,7,4] => 9
[2,5,6,3,7,4,1] => 14
[2,5,6,4,3,1,7] => 8
[2,5,6,4,7,3,1] => 14
[2,5,6,7,3,1,4] => 9
[2,5,7,1,3,6,4] => 9
[2,5,7,1,6,3,4] => 8
[2,5,7,3,1,4,6] => 7
[2,5,7,3,1,6,4] => 13
[2,5,7,4,1,3,6] => 7
[2,5,7,4,6,3,1] => 14
[2,5,7,6,4,3,1] => 10
[2,6,1,3,4,5,7] => 2
[2,6,1,3,7,4,5] => 7
[2,6,1,4,3,7,5] => 8
[2,6,1,4,7,3,5] => 7
[2,6,1,5,4,7,3] => 8
[2,6,1,5,7,3,4] => 7
[2,6,1,7,3,4,5] => 6
[2,6,1,7,4,5,3] => 12
[2,6,1,7,5,3,4] => 11
[2,6,3,1,4,7,5] => 11
[2,6,3,1,5,7,4] => 11
[2,6,3,4,1,5,7] => 6
[2,6,3,4,1,7,5] => 12
[2,6,3,4,5,7,1] => 8
[2,6,3,5,1,7,4] => 12
[2,6,3,5,4,7,1] => 8
[2,6,3,5,7,1,4] => 7
[2,6,3,7,1,4,5] => 6
[2,6,3,7,5,4,1] => 12
[2,6,4,1,3,5,7] => 5
[2,6,4,1,5,7,3] => 11
[2,6,4,3,5,1,7] => 7
[2,6,4,3,7,5,1] => 13
[2,6,4,7,1,3,5] => 6
[2,6,4,7,1,5,3] => 12
[2,6,4,7,3,1,5] => 11
[2,6,4,7,3,5,1] => 12
[2,6,4,7,5,3,1] => 17
[2,6,5,1,4,3,7] => 3
[2,6,5,3,4,7,1] => 9
[2,6,5,3,7,4,1] => 14
[2,6,5,7,4,1,3] => 9
[2,6,7,3,1,4,5] => 7
[2,6,7,3,1,5,4] => 7
[2,6,7,3,4,5,1] => 9
[2,6,7,3,5,1,4] => 8
[2,6,7,3,5,4,1] => 9
[2,6,7,4,1,3,5] => 7
[2,6,7,4,1,5,3] => 13
[2,6,7,4,3,5,1] => 9
[2,6,7,4,5,1,3] => 8
[2,6,7,4,5,3,1] => 14
[2,6,7,5,3,1,4] => 12
[2,6,7,5,4,1,3] => 8
[2,6,7,5,4,3,1] => 9
[2,7,1,3,4,5,6] => 2
[2,7,1,3,5,6,4] => 8
[2,7,1,3,6,4,5] => 7
[2,7,1,4,3,5,6] => 2
[2,7,1,4,3,6,5] => 2
[2,7,1,4,6,5,3] => 8
[2,7,1,5,4,3,6] => 2
[2,7,1,5,4,6,3] => 8
[2,7,1,5,6,4,3] => 7
[2,7,1,6,3,5,4] => 6
[2,7,1,6,5,4,3] => 2
[2,7,3,1,5,4,6] => 5
[2,7,3,1,6,4,5] => 10
[2,7,3,4,1,6,5] => 6
[2,7,3,4,5,1,6] => 7
[2,7,3,4,6,1,5] => 7
[2,7,3,4,6,5,1] => 8
[2,7,3,5,4,1,6] => 7
[2,7,3,5,6,1,4] => 7
[2,7,3,5,6,4,1] => 13
[2,7,3,6,1,4,5] => 6
[2,7,4,1,5,6,3] => 11
[2,7,4,3,1,5,6] => 6
[2,7,4,3,5,6,1] => 8
[2,7,4,5,1,6,3] => 12
[2,7,4,5,3,1,6] => 11
[2,7,4,5,6,3,1] => 13
[2,7,4,6,1,5,3] => 12
[2,7,5,1,4,3,6] => 5
[2,7,5,1,6,4,3] => 10
[2,7,5,3,1,6,4] => 15
[2,7,5,4,1,3,6] => 6
[2,7,5,4,1,6,3] => 12
[2,7,5,4,3,6,1] => 8
[2,7,5,6,3,1,4] => 11
[2,7,5,6,4,1,3] => 11
[2,7,5,6,4,3,1] => 12
[2,7,6,1,3,5,4] => 3
[2,7,6,1,4,3,5] => 3
[2,7,6,1,4,5,3] => 9
[2,7,6,1,5,4,3] => 3
[2,7,6,3,1,4,5] => 7
[2,7,6,3,1,5,4] => 7
[2,7,6,3,5,4,1] => 9
[2,7,6,4,1,3,5] => 7
[2,7,6,4,3,1,5] => 8
[2,7,6,4,5,1,3] => 8
[2,7,6,5,1,3,4] => 4
[2,7,6,5,1,4,3] => 4
[2,7,6,5,3,4,1] => 10
[2,7,6,5,4,3,1] => 6
[3,1,2,4,7,5,6] => 6
[3,1,2,6,4,7,5] => 11
[3,1,2,7,4,6,5] => 5
[3,1,2,7,5,4,6] => 5
[3,1,2,7,5,6,4] => 11
[3,1,4,2,6,5,7] => 4
[3,1,4,2,6,7,5] => 10
[3,1,4,2,7,5,6] => 9
[3,1,4,5,2,6,7] => 5
[3,1,4,5,6,2,7] => 6
[3,1,4,5,6,7,2] => 7
[3,1,4,6,2,7,5] => 11
[3,1,4,6,7,5,2] => 12
[3,1,4,7,6,5,2] => 7
[3,1,5,2,6,4,7] => 9
[3,1,5,2,6,7,4] => 10
[3,1,5,2,7,4,6] => 9
[3,1,5,2,7,6,4] => 10
[3,1,5,4,2,7,6] => 5
[3,1,5,4,6,2,7] => 6
[3,1,5,6,2,7,4] => 11
[3,1,5,7,2,4,6] => 5
[3,1,5,7,6,2,4] => 6
[3,1,6,2,4,5,7] => 4
[3,1,6,2,4,7,5] => 10
[3,1,6,2,5,4,7] => 4
[3,1,6,4,2,5,7] => 8
[3,1,6,4,5,2,7] => 9
[3,1,6,4,7,2,5] => 9
[3,1,6,5,2,7,4] => 11
[3,1,6,5,4,7,2] => 7
[3,1,6,7,2,4,5] => 5
[3,1,6,7,4,5,2] => 11
[3,1,7,2,4,5,6] => 4
[3,1,7,2,4,6,5] => 4
[3,1,7,4,2,5,6] => 8
[3,1,7,4,5,6,2] => 10
[3,1,7,5,2,4,6] => 8
[3,1,7,6,2,5,4] => 5
[3,2,1,4,5,6,7] => 0
[3,2,1,4,6,5,7] => 0
[3,2,1,4,6,7,5] => 6
[3,2,1,5,7,4,6] => 5
[3,2,1,5,7,6,4] => 6
[3,2,1,6,5,4,7] => 0
[3,2,1,6,5,7,4] => 6
[3,2,1,7,6,4,5] => 5
[3,2,4,1,6,7,5] => 9
[3,2,4,1,7,5,6] => 8
[3,2,4,5,1,7,6] => 4
[3,2,4,6,1,7,5] => 10
[3,2,4,6,7,1,5] => 5
[3,2,4,6,7,5,1] => 11
[3,2,4,7,5,1,6] => 9
[3,2,4,7,6,5,1] => 6
[3,2,5,1,4,6,7] => 3
[3,2,5,1,6,4,7] => 8
[3,2,5,1,7,4,6] => 8
[3,2,5,4,1,7,6] => 4
[3,2,5,4,6,1,7] => 5
[3,2,5,4,7,1,6] => 5
[3,2,5,4,7,6,1] => 6
[3,2,5,6,7,1,4] => 5
[3,2,5,7,1,4,6] => 4
[3,2,5,7,4,1,6] => 9
[3,2,6,1,5,7,4] => 9
[3,2,6,4,1,5,7] => 7
[3,2,6,4,1,7,5] => 13
[3,2,6,4,5,1,7] => 8
[3,2,6,4,5,7,1] => 9
[3,2,6,4,7,1,5] => 8
[3,2,6,4,7,5,1] => 14
[3,2,6,5,1,4,7] => 4
[3,2,6,5,7,1,4] => 5
[3,2,6,7,4,5,1] => 10
[3,2,7,1,5,6,4] => 9
[3,2,7,1,6,5,4] => 3
[3,2,7,4,6,1,5] => 8
[3,2,7,4,6,5,1] => 9
[3,2,7,5,1,4,6] => 7
[3,2,7,5,1,6,4] => 13
[3,2,7,5,4,1,6] => 8
[3,2,7,5,6,1,4] => 8
[3,2,7,6,1,4,5] => 4
[3,2,7,6,1,5,4] => 4
[3,2,7,6,4,1,5] => 9
[3,2,7,6,4,5,1] => 10
[3,2,7,6,5,1,4] => 5
[3,2,7,6,5,4,1] => 6
[3,4,1,2,5,7,6] => 2
[3,4,1,2,6,7,5] => 8
[3,4,1,5,2,6,7] => 6
[3,4,1,5,2,7,6] => 6
[3,4,1,5,6,2,7] => 7
[3,4,1,5,6,7,2] => 8
[3,4,1,5,7,2,6] => 7
[3,4,1,6,7,5,2] => 13
[3,4,1,7,5,6,2] => 12
[3,4,2,1,7,6,5] => 2
[3,4,2,5,1,7,6] => 6
[3,4,2,6,1,7,5] => 12
[3,4,2,6,5,1,7] => 7
[3,4,2,6,7,5,1] => 13
[3,4,2,7,1,5,6] => 6
[3,4,2,7,5,1,6] => 11
[3,4,2,7,5,6,1] => 12
[3,4,2,7,6,1,5] => 7
[3,4,2,7,6,5,1] => 8
[3,4,5,1,2,6,7] => 3
[3,4,5,1,2,7,6] => 3
[3,4,5,2,1,6,7] => 3
[3,4,5,2,1,7,6] => 3
[3,4,5,2,6,7,1] => 9
[3,4,5,2,7,6,1] => 9
[3,4,5,6,1,7,2] => 10
[3,4,5,6,7,2,1] => 5
[3,4,5,7,1,2,6] => 4
[3,4,5,7,1,6,2] => 10
[3,4,5,7,2,1,6] => 4
[3,4,6,1,5,2,7] => 8
[3,4,6,1,5,7,2] => 9
[3,4,6,2,1,7,5] => 9
[3,4,6,2,5,7,1] => 9
[3,4,6,2,7,1,5] => 8
[3,4,6,5,1,2,7] => 4
[3,4,6,5,1,7,2] => 10
[3,4,6,5,2,1,7] => 4
[3,4,6,5,7,2,1] => 5
[3,4,6,7,1,2,5] => 4
[3,4,6,7,2,1,5] => 4
[3,4,6,7,2,5,1] => 10
[3,4,6,7,5,1,2] => 9
[3,4,7,1,2,5,6] => 3
[3,4,7,2,1,5,6] => 3
[3,4,7,2,1,6,5] => 3
[3,4,7,5,1,2,6] => 7
[3,4,7,5,2,6,1] => 13
[3,4,7,5,6,1,2] => 8
[3,4,7,5,6,2,1] => 8
[3,4,7,6,1,2,5] => 4
[3,4,7,6,5,1,2] => 5
[3,4,7,6,5,2,1] => 5
[3,5,1,2,4,6,7] => 2
[3,5,1,2,6,4,7] => 7
[3,5,1,2,7,4,6] => 7
[3,5,1,2,7,6,4] => 8
[3,5,1,4,2,6,7] => 6
[3,5,1,4,6,7,2] => 8
[3,5,1,4,7,6,2] => 8
[3,5,1,6,2,4,7] => 6
[3,5,1,6,4,7,2] => 12
[3,5,1,7,4,6,2] => 12
[3,5,2,1,6,4,7] => 7
[3,5,2,1,7,4,6] => 7
[3,5,2,4,1,7,6] => 6
[3,5,2,6,1,4,7] => 6
[3,5,2,6,4,1,7] => 11
[3,5,2,7,1,4,6] => 6
[3,5,2,7,6,1,4] => 7
[3,5,2,7,6,4,1] => 13
[3,5,4,1,2,6,7] => 3
[3,5,4,1,2,7,6] => 3
[3,5,4,1,6,7,2] => 9
[3,5,4,1,7,2,6] => 8
[3,5,4,2,1,6,7] => 3
[3,5,4,2,6,1,7] => 8
[3,5,4,2,6,7,1] => 9
[3,5,4,6,1,2,7] => 4
[3,5,4,6,2,1,7] => 4
[3,5,4,6,7,2,1] => 5
[3,5,4,7,1,2,6] => 4
[3,5,4,7,1,6,2] => 10
[3,5,4,7,6,1,2] => 5
[3,5,4,7,6,2,1] => 5
[3,5,6,1,2,4,7] => 3
[3,5,6,1,7,4,2] => 14
[3,5,6,2,1,4,7] => 3
[3,5,6,2,4,1,7] => 8
[3,5,6,4,1,2,7] => 7
[3,5,6,4,1,7,2] => 13
[3,5,6,4,2,7,1] => 13
[3,5,6,4,7,2,1] => 8
[3,5,6,7,1,4,2] => 10
[3,5,7,1,2,4,6] => 3
[3,5,7,1,4,2,6] => 8
[3,5,7,1,6,4,2] => 14
[3,5,7,2,1,6,4] => 9
[3,5,7,4,2,1,6] => 7
[3,5,7,4,2,6,1] => 13
[3,5,7,6,1,2,4] => 4
[3,5,7,6,2,1,4] => 4
[3,5,7,6,4,2,1] => 9
[3,6,1,2,4,5,7] => 2
[3,6,1,2,4,7,5] => 8
[3,6,1,2,5,4,7] => 2
[3,6,1,2,5,7,4] => 8
[3,6,1,2,7,4,5] => 7
[3,6,1,4,5,2,7] => 7
[3,6,1,5,2,4,7] => 6
[3,6,1,5,2,7,4] => 12
[3,6,1,5,4,7,2] => 8
[3,6,1,7,2,4,5] => 6
[3,6,1,7,4,2,5] => 11
[3,6,1,7,4,5,2] => 12
[3,6,2,1,5,4,7] => 2
[3,6,2,1,5,7,4] => 8
[3,6,2,4,1,7,5] => 12
[3,6,2,5,1,7,4] => 12
[3,6,2,5,4,1,7] => 7
[3,6,2,5,7,1,4] => 7
[3,6,2,5,7,4,1] => 13
[3,6,2,7,4,5,1] => 12
[3,6,2,7,5,1,4] => 11
[3,6,4,1,2,7,5] => 11
[3,6,4,2,1,7,5] => 11
[3,6,4,2,5,1,7] => 10
[3,6,4,2,7,1,5] => 10
[3,6,4,5,1,7,2] => 12
[3,6,4,5,2,1,7] => 6
[3,6,4,5,2,7,1] => 12
[3,6,4,7,1,2,5] => 6
[3,6,4,7,2,5,1] => 12
[3,6,5,1,4,2,7] => 8
[3,6,5,1,4,7,2] => 9
[3,6,5,2,1,4,7] => 3
[3,6,5,2,1,7,4] => 9
[3,6,5,2,7,1,4] => 8
[3,6,5,4,1,7,2] => 10
[3,6,5,4,7,2,1] => 5
[3,6,5,7,2,4,1] => 10
[3,6,5,7,4,2,1] => 9
[3,6,7,1,2,4,5] => 3
[3,6,7,1,4,5,2] => 9
[3,6,7,2,1,4,5] => 3
[3,6,7,2,5,4,1] => 9
[3,6,7,4,1,5,2] => 13
[3,6,7,4,5,2,1] => 8
[3,6,7,5,1,4,2] => 13
[3,6,7,5,4,2,1] => 8
[3,7,1,2,4,6,5] => 2
[3,7,1,2,5,6,4] => 8
[3,7,1,2,6,4,5] => 7
[3,7,1,4,5,2,6] => 7
[3,7,1,4,5,6,2] => 8
[3,7,1,5,4,2,6] => 7
[3,7,1,5,6,2,4] => 7
[3,7,1,6,4,5,2] => 12
[3,7,1,6,5,4,2] => 8
[3,7,2,1,5,4,6] => 2
[3,7,2,1,6,4,5] => 7
[3,7,2,4,1,6,5] => 6
[3,7,2,6,1,4,5] => 6
[3,7,2,6,1,5,4] => 6
[3,7,4,1,2,5,6] => 5
[3,7,4,1,5,6,2] => 11
[3,7,4,2,1,5,6] => 5
[3,7,4,2,1,6,5] => 5
[3,7,4,2,5,6,1] => 11
[3,7,4,5,1,2,6] => 6
[3,7,4,5,1,6,2] => 12
[3,7,4,5,6,2,1] => 7
[3,7,4,6,1,2,5] => 6
[3,7,4,6,2,5,1] => 12
[3,7,4,6,5,1,2] => 7
[3,7,4,6,5,2,1] => 7
[3,7,5,1,6,2,4] => 10
[3,7,5,1,6,4,2] => 16
[3,7,5,2,1,4,6] => 5
[3,7,5,2,1,6,4] => 11
[3,7,5,2,4,1,6] => 10
[3,7,5,2,4,6,1] => 11
[3,7,5,2,6,1,4] => 10
[3,7,5,2,6,4,1] => 16
[3,7,5,4,1,2,6] => 6
[3,7,5,4,6,1,2] => 7
[3,7,5,6,1,4,2] => 12
[3,7,5,6,4,1,2] => 11
[3,7,5,6,4,2,1] => 11
[3,7,6,1,2,4,5] => 3
[3,7,6,1,5,4,2] => 9
[3,7,6,2,1,4,5] => 3
[3,7,6,4,1,2,5] => 7
[3,7,6,4,5,1,2] => 8
[3,7,6,4,5,2,1] => 8
[3,7,6,5,1,2,4] => 4
[3,7,6,5,2,1,4] => 4
[3,7,6,5,4,1,2] => 5
[4,1,2,3,5,7,6] => 1
[4,1,2,3,6,5,7] => 1
[4,1,2,3,7,5,6] => 6
[4,1,2,5,6,3,7] => 6
[4,1,2,6,3,5,7] => 5
[4,1,2,6,3,7,5] => 11
[4,1,2,6,5,3,7] => 6
[4,1,2,6,7,5,3] => 12
[4,1,2,7,3,6,5] => 5
[4,1,3,2,5,6,7] => 1
[4,1,3,2,5,7,6] => 1
[4,1,3,2,7,5,6] => 6
[4,1,3,5,2,6,7] => 5
[4,1,3,6,5,7,2] => 7
[4,1,3,6,7,2,5] => 6
[4,1,3,6,7,5,2] => 12
[4,1,3,7,6,2,5] => 6
[4,1,5,2,3,6,7] => 4
[4,1,5,2,7,3,6] => 9
[4,1,5,2,7,6,3] => 10
[4,1,5,3,2,7,6] => 4
[4,1,5,3,6,7,2] => 10
[4,1,5,3,7,6,2] => 10
[4,1,5,6,2,3,7] => 5
[4,1,5,6,3,7,2] => 11
[4,1,5,6,7,2,3] => 6
[4,1,5,6,7,3,2] => 6
[4,1,5,7,2,3,6] => 5
[4,1,5,7,3,2,6] => 5
[4,1,5,7,3,6,2] => 11
[4,1,5,7,6,2,3] => 6
[4,1,5,7,6,3,2] => 6
[4,1,6,2,3,7,5] => 10
[4,1,6,2,7,5,3] => 15
[4,1,6,3,5,7,2] => 10
[4,1,6,5,2,3,7] => 5
[4,1,6,5,2,7,3] => 11
[4,1,6,5,3,7,2] => 11
[4,1,6,7,3,2,5] => 5
[4,1,7,2,3,5,6] => 4
[4,1,7,2,3,6,5] => 4
[4,1,7,2,5,6,3] => 10
[4,1,7,2,6,3,5] => 9
[4,1,7,5,2,3,6] => 8
[4,1,7,5,6,3,2] => 9
[4,1,7,6,2,5,3] => 11
[4,1,7,6,3,5,2] => 11
[4,1,7,6,5,2,3] => 6
[4,1,7,6,5,3,2] => 6
[4,2,1,3,5,7,6] => 1
[4,2,1,5,6,3,7] => 6
[4,2,1,5,6,7,3] => 7
[4,2,1,5,7,6,3] => 7
[4,2,1,7,5,6,3] => 11
[4,2,3,1,5,7,6] => 4
[4,2,3,5,7,6,1] => 7
[4,2,3,6,1,5,7] => 5
[4,2,3,6,5,7,1] => 7
[4,2,3,6,7,5,1] => 12
[4,2,3,7,1,5,6] => 5
[4,2,5,1,6,7,3] => 10
[4,2,5,1,7,3,6] => 9
[4,2,5,1,7,6,3] => 10
[4,2,5,3,1,6,7] => 8
[4,2,5,3,1,7,6] => 8
[4,2,5,3,6,1,7] => 9
[4,2,5,3,7,6,1] => 10
[4,2,5,6,1,3,7] => 5
[4,2,5,6,1,7,3] => 11
[4,2,5,6,7,1,3] => 6
[4,2,5,6,7,3,1] => 12
[4,2,5,7,1,3,6] => 5
[4,2,5,7,3,1,6] => 10
[4,2,6,1,3,7,5] => 10
[4,2,6,3,7,5,1] => 15
[4,2,6,5,1,3,7] => 5
[4,2,6,5,1,7,3] => 11
[4,2,6,5,3,1,7] => 10
[4,2,6,5,3,7,1] => 11
[4,2,6,5,7,1,3] => 6
[4,2,6,7,5,1,3] => 10
[4,2,7,1,5,3,6] => 9
[4,2,7,1,5,6,3] => 10
[4,2,7,1,6,5,3] => 10
[4,2,7,3,1,5,6] => 8
[4,2,7,3,1,6,5] => 8
[4,2,7,3,5,6,1] => 10
[4,2,7,3,6,1,5] => 9
[4,2,7,5,1,6,3] => 14
[4,2,7,5,3,1,6] => 13
[4,2,7,5,6,1,3] => 9
[4,2,7,5,6,3,1] => 15
[4,2,7,6,3,5,1] => 11
[4,2,7,6,5,3,1] => 12
[4,3,1,2,5,6,7] => 2
[4,3,1,2,7,6,5] => 2
[4,3,1,5,2,7,6] => 6
[4,3,1,5,7,2,6] => 7
[4,3,1,5,7,6,2] => 8
[4,3,1,6,2,5,7] => 6
[4,3,1,6,5,2,7] => 7
[4,3,1,6,5,7,2] => 8
[4,3,1,6,7,2,5] => 7
[4,3,1,7,2,5,6] => 6
[4,3,1,7,6,5,2] => 8
[4,3,2,1,5,6,7] => 0
[4,3,2,1,6,5,7] => 0
[4,3,2,1,6,7,5] => 6
[4,3,2,1,7,5,6] => 5
[4,3,2,5,1,7,6] => 4
[4,3,2,5,6,1,7] => 5
[4,3,2,5,7,1,6] => 5
[4,3,2,6,1,7,5] => 10
[4,3,2,6,5,7,1] => 6
[4,3,2,7,6,1,5] => 5
[4,3,5,1,2,7,6] => 3
[4,3,5,1,6,2,7] => 8
[4,3,5,1,7,6,2] => 9
[4,3,5,2,1,6,7] => 3
[4,3,5,2,7,1,6] => 8
[4,3,5,6,1,7,2] => 10
[4,3,5,6,7,2,1] => 5
[4,3,5,7,1,2,6] => 4
[4,3,5,7,1,6,2] => 10
[4,3,5,7,2,6,1] => 10
[4,3,6,1,2,5,7] => 3
[4,3,6,1,5,2,7] => 8
[4,3,6,2,1,5,7] => 3
[4,3,6,2,1,7,5] => 9
[4,3,6,2,7,1,5] => 8
[4,3,6,5,1,7,2] => 10
[4,3,6,5,7,1,2] => 5
[4,3,6,7,2,5,1] => 10
[4,3,7,2,1,5,6] => 3
[4,3,7,2,5,6,1] => 9
[4,3,7,5,1,6,2] => 13
[4,3,7,5,2,1,6] => 7
[4,3,7,5,6,1,2] => 8
[4,3,7,6,1,2,5] => 4
[4,5,1,2,7,3,6] => 7
[4,5,1,3,2,6,7] => 2
[4,5,1,3,2,7,6] => 2
[4,5,1,3,7,6,2] => 8
[4,5,1,6,3,7,2] => 12
[4,5,1,6,7,2,3] => 7
[4,5,1,7,3,6,2] => 12
[4,5,2,1,3,7,6] => 2
[4,5,2,1,6,3,7] => 7
[4,5,2,1,6,7,3] => 8
[4,5,2,1,7,3,6] => 7
[4,5,2,3,1,7,6] => 6
[4,5,2,6,1,7,3] => 12
[4,5,2,6,3,1,7] => 11
[4,5,2,6,3,7,1] => 12
[4,5,2,6,7,3,1] => 13
[4,5,2,7,6,3,1] => 13
[4,5,3,1,2,6,7] => 5
[4,5,3,1,7,6,2] => 11
[4,5,3,2,6,7,1] => 8
[4,5,3,2,7,6,1] => 8
[4,5,3,6,1,7,2] => 12
[4,5,3,6,2,1,7] => 6
[4,5,3,6,2,7,1] => 12
[4,5,3,6,7,1,2] => 7
[4,5,3,7,1,6,2] => 12
[4,5,3,7,2,6,1] => 12
[4,5,3,7,6,2,1] => 7
[4,5,6,1,3,7,2] => 9
[4,5,6,1,7,2,3] => 8
[4,5,6,2,1,3,7] => 3
[4,5,6,2,1,7,3] => 9
[4,5,6,2,3,1,7] => 8
[4,5,6,2,7,1,3] => 8
[4,5,6,3,1,7,2] => 13
[4,5,6,3,2,1,7] => 3
[4,5,6,7,1,3,2] => 4
[4,5,6,7,2,3,1] => 10
[4,5,7,1,6,3,2] => 8
[4,5,7,2,6,1,3] => 8
[4,5,7,6,1,2,3] => 4
[4,5,7,6,2,1,3] => 4
[4,6,1,2,3,7,5] => 8
[4,6,1,2,7,5,3] => 13
[4,6,1,3,7,5,2] => 13
[4,6,1,5,2,7,3] => 12
[4,6,1,5,3,2,7] => 6
[4,6,1,5,3,7,2] => 12
[4,6,1,7,2,3,5] => 6
[4,6,1,7,3,2,5] => 6
[4,6,2,1,3,7,5] => 8
[4,6,2,1,5,7,3] => 8
[4,6,2,1,7,3,5] => 7
[4,6,2,3,1,7,5] => 12
[4,6,2,5,3,7,1] => 12
[4,6,2,5,7,3,1] => 13
[4,6,2,7,3,1,5] => 11
[4,6,2,7,5,1,3] => 11
[4,6,2,7,5,3,1] => 17
[4,6,3,1,5,7,2] => 11
[4,6,3,1,7,5,2] => 16
[4,6,3,2,5,7,1] => 8
[4,6,3,2,7,5,1] => 13
[4,6,3,5,7,2,1] => 7
[4,6,3,7,1,5,2] => 12
[4,6,3,7,2,1,5] => 6
[4,6,3,7,5,1,2] => 11
[4,6,3,7,5,2,1] => 11
[4,6,5,1,2,3,7] => 3
[4,6,5,1,2,7,3] => 9
[4,6,5,2,7,1,3] => 8
[4,6,5,2,7,3,1] => 14
[4,6,5,3,1,2,7] => 7
[4,6,5,3,1,7,2] => 13
[4,6,5,3,2,1,7] => 3
[4,6,5,3,7,1,2] => 8
[4,6,5,7,1,3,2] => 4
[4,6,5,7,2,3,1] => 10
[4,6,5,7,3,1,2] => 9
[4,6,5,7,3,2,1] => 4
[4,6,7,1,3,5,2] => 9
[4,6,7,1,5,3,2] => 8
[4,6,7,2,1,3,5] => 3
[4,6,7,2,1,5,3] => 9
[4,6,7,2,3,1,5] => 8
[4,6,7,2,5,1,3] => 8
[4,6,7,3,1,2,5] => 7
[4,6,7,3,1,5,2] => 13
[4,6,7,5,2,1,3] => 7
[4,6,7,5,3,1,2] => 12
[4,6,7,5,3,2,1] => 7
[4,7,1,2,3,5,6] => 2
[4,7,1,2,5,6,3] => 8
[4,7,1,3,6,2,5] => 7
[4,7,1,3,6,5,2] => 8
[4,7,1,5,2,3,6] => 6
[4,7,1,5,6,2,3] => 7
[4,7,1,6,3,5,2] => 12
[4,7,2,1,3,5,6] => 2
[4,7,2,1,3,6,5] => 2
[4,7,2,1,6,3,5] => 7
[4,7,2,1,6,5,3] => 8
[4,7,2,3,1,5,6] => 6
[4,7,2,3,1,6,5] => 6
[4,7,2,3,6,5,1] => 8
[4,7,2,6,3,5,1] => 12
[4,7,3,1,5,6,2] => 11
[4,7,3,1,6,2,5] => 10
[4,7,3,1,6,5,2] => 11
[4,7,3,2,1,5,6] => 2
[4,7,3,2,6,1,5] => 7
[4,7,3,5,2,1,6] => 6
[4,7,3,5,6,2,1] => 7
[4,7,3,6,1,2,5] => 6
[4,7,3,6,2,1,5] => 6
[4,7,3,6,2,5,1] => 12
[4,7,3,6,5,1,2] => 7
[4,7,3,6,5,2,1] => 7
[4,7,5,1,2,3,6] => 5
[4,7,5,1,3,6,2] => 11
[4,7,5,1,6,2,3] => 10
[4,7,5,2,3,1,6] => 10
[4,7,5,2,6,3,1] => 16
[4,7,5,3,1,2,6] => 9
[4,7,5,3,2,1,6] => 5
[4,7,5,3,6,1,2] => 10
[4,7,5,6,1,2,3] => 6
[4,7,5,6,3,2,1] => 6
[4,7,6,1,2,3,5] => 3
[4,7,6,1,2,5,3] => 9
[4,7,6,1,3,2,5] => 3
[4,7,6,2,1,3,5] => 3
[4,7,6,2,3,1,5] => 8
[4,7,6,2,3,5,1] => 9
[4,7,6,3,2,5,1] => 9
[4,7,6,3,5,1,2] => 8
[4,7,6,5,2,1,3] => 4
[4,7,6,5,2,3,1] => 10
[4,7,6,5,3,2,1] => 4
[5,1,2,3,4,6,7] => 1
[5,1,2,3,4,7,6] => 1
[5,1,2,3,6,7,4] => 7
[5,1,2,4,3,7,6] => 1
[5,1,2,4,6,3,7] => 6
[5,1,2,6,3,7,4] => 11
[5,1,2,6,7,3,4] => 6
[5,1,2,6,7,4,3] => 6
[5,1,2,7,3,4,6] => 5
[5,1,2,7,6,4,3] => 6
[5,1,3,2,4,7,6] => 1
[5,1,3,2,6,4,7] => 6
[5,1,3,2,7,4,6] => 6
[5,1,3,4,6,2,7] => 6
[5,1,3,6,2,7,4] => 11
[5,1,3,6,4,7,2] => 11
[5,1,3,6,7,2,4] => 6
[5,1,3,6,7,4,2] => 12
[5,1,3,7,2,6,4] => 11
[5,1,3,7,4,6,2] => 11
[5,1,3,7,6,4,2] => 12
[5,1,4,3,2,7,6] => 1
[5,1,4,3,6,7,2] => 7
[5,1,4,6,2,3,7] => 5
[5,1,4,6,2,7,3] => 11
[5,1,4,6,7,2,3] => 6
[5,1,4,6,7,3,2] => 6
[5,1,4,7,3,2,6] => 5
[5,1,4,7,3,6,2] => 11
[5,1,4,7,6,2,3] => 6
[5,1,4,7,6,3,2] => 6
[5,1,6,2,3,4,7] => 4
[5,1,6,2,7,3,4] => 9
[5,1,6,2,7,4,3] => 9
[5,1,6,3,2,7,4] => 10
[5,1,6,3,4,2,7] => 9
[5,1,6,3,4,7,2] => 10
[5,1,6,3,7,2,4] => 9
[5,1,6,4,3,7,2] => 10
[5,1,6,7,2,3,4] => 5
[5,1,6,7,4,2,3] => 10
[5,1,6,7,4,3,2] => 5
[5,1,7,2,3,4,6] => 4
[5,1,7,2,3,6,4] => 10
[5,1,7,2,6,3,4] => 9
[5,1,7,2,6,4,3] => 9
[5,1,7,3,6,4,2] => 15
[5,1,7,4,2,3,6] => 8
[5,1,7,4,2,6,3] => 14
[5,1,7,4,6,3,2] => 9
[5,2,1,3,6,4,7] => 6
[5,2,1,4,3,6,7] => 1
[5,2,1,4,6,3,7] => 6
[5,2,1,4,7,6,3] => 7
[5,2,1,6,3,4,7] => 5
[5,2,1,6,4,3,7] => 5
[5,2,1,6,4,7,3] => 11
[5,2,1,6,7,3,4] => 6
[5,2,1,7,3,4,6] => 5
[5,2,1,7,3,6,4] => 11
[5,2,3,1,6,7,4] => 10
[5,2,3,1,7,4,6] => 9
[5,2,3,4,1,6,7] => 5
[5,2,3,4,1,7,6] => 5
[5,2,3,4,6,1,7] => 6
[5,2,3,4,7,1,6] => 6
[5,2,3,6,1,4,7] => 5
[5,2,3,6,1,7,4] => 11
[5,2,3,6,4,1,7] => 10
[5,2,3,6,7,4,1] => 12
[5,2,3,7,4,1,6] => 10
[5,2,4,1,3,6,7] => 4
[5,2,4,1,7,6,3] => 10
[5,2,4,3,6,1,7] => 6
[5,2,4,3,6,7,1] => 7
[5,2,4,3,7,1,6] => 6
[5,2,4,6,1,3,7] => 5
[5,2,4,6,1,7,3] => 11
[5,2,4,6,3,7,1] => 11
[5,2,4,6,7,1,3] => 6
[5,2,4,6,7,3,1] => 12
[5,2,4,7,1,3,6] => 5
[5,2,4,7,1,6,3] => 11
[5,2,4,7,3,1,6] => 10
[5,2,4,7,3,6,1] => 11
[5,2,6,1,3,4,7] => 4
[5,2,6,1,4,3,7] => 4
[5,2,6,1,4,7,3] => 10
[5,2,6,3,4,7,1] => 10
[5,2,6,3,7,1,4] => 9
[5,2,6,4,1,3,7] => 8
[5,2,6,4,3,1,7] => 9
[5,2,6,7,3,1,4] => 10
[5,2,6,7,4,1,3] => 10
[5,2,7,1,3,4,6] => 4
[5,2,7,1,3,6,4] => 10
[5,2,7,1,4,3,6] => 4
[5,2,7,3,1,6,4] => 14
[5,2,7,4,1,3,6] => 8
[5,2,7,6,1,3,4] => 5
[5,2,7,6,4,1,3] => 10
[5,3,1,2,4,7,6] => 3
[5,3,1,2,6,4,7] => 8
[5,3,1,2,6,7,4] => 9
[5,3,1,2,7,4,6] => 8
[5,3,1,4,6,2,7] => 8
[5,3,1,4,6,7,2] => 9
[5,3,1,4,7,6,2] => 9
[5,3,1,6,7,4,2] => 14
[5,3,1,7,2,4,6] => 7
[5,3,1,7,2,6,4] => 13
[5,3,1,7,4,6,2] => 13
[5,3,2,1,4,7,6] => 1
[5,3,2,1,6,7,4] => 7
[5,3,2,1,7,4,6] => 6
[5,3,2,1,7,6,4] => 7
[5,3,2,4,6,1,7] => 6
[5,3,2,4,6,7,1] => 7
[5,3,2,4,7,6,1] => 7
[5,3,2,6,4,1,7] => 10
[5,3,2,6,7,4,1] => 12
[5,3,2,7,4,6,1] => 11
[5,3,4,1,6,2,7] => 9
[5,3,4,2,1,7,6] => 4
[5,3,4,2,7,1,6] => 9
[5,3,4,6,1,2,7] => 5
[5,3,4,6,1,7,2] => 11
[5,3,4,7,1,6,2] => 11
[5,3,4,7,2,6,1] => 11
[5,3,4,7,6,2,1] => 6
[5,3,6,1,2,7,4] => 10
[5,3,6,1,4,2,7] => 9
[5,3,6,1,4,7,2] => 10
[5,3,6,2,4,1,7] => 9
[5,3,6,2,7,4,1] => 15
[5,3,6,4,2,1,7] => 8
[5,3,6,4,7,1,2] => 9
[5,3,6,7,1,4,2] => 11
[5,3,7,1,2,4,6] => 4
[5,3,7,1,6,4,2] => 15
[5,3,7,2,1,6,4] => 10
[5,3,7,2,4,1,6] => 9
[5,3,7,2,4,6,1] => 10
[5,3,7,4,6,1,2] => 9
[5,3,7,4,6,2,1] => 9
[5,3,7,6,1,4,2] => 11
[5,3,7,6,4,2,1] => 10
[5,4,1,2,3,6,7] => 2
[5,4,1,2,3,7,6] => 2
[5,4,1,2,7,6,3] => 8
[5,4,1,7,2,3,6] => 6
[5,4,1,7,2,6,3] => 12
[5,4,1,7,3,2,6] => 6
[5,4,2,1,6,3,7] => 7
[5,4,2,1,6,7,3] => 8
[5,4,2,3,6,1,7] => 7
[5,4,2,6,1,3,7] => 6
[5,4,2,6,7,1,3] => 7
[5,4,2,6,7,3,1] => 13
[5,4,2,7,3,6,1] => 12
[5,4,2,7,6,1,3] => 7
[5,4,2,7,6,3,1] => 13
[5,4,3,1,7,2,6] => 8
[5,4,3,2,6,1,7] => 5
[5,4,3,2,6,7,1] => 6
[5,4,3,2,7,1,6] => 5
[5,4,3,2,7,6,1] => 6
[5,4,3,6,2,1,7] => 4
[5,4,3,6,7,1,2] => 5
[5,4,3,7,1,6,2] => 10
[5,4,3,7,6,1,2] => 5
[5,4,3,7,6,2,1] => 5
[5,4,6,1,2,3,7] => 3
[5,4,6,1,3,7,2] => 9
[5,4,6,1,7,2,3] => 8
[5,4,6,2,1,7,3] => 9
[5,4,6,3,2,1,7] => 3
[5,4,6,3,7,2,1] => 8
[5,4,6,7,2,3,1] => 10
[5,4,6,7,3,1,2] => 9
[5,4,7,1,6,3,2] => 8
[5,4,7,2,1,6,3] => 9
[5,4,7,2,3,6,1] => 9
[5,4,7,2,6,1,3] => 8
[5,4,7,3,2,1,6] => 3
[5,4,7,3,2,6,1] => 9
[5,4,7,3,6,1,2] => 8
[5,4,7,3,6,2,1] => 8
[5,4,7,6,1,2,3] => 4
[5,6,1,2,3,4,7] => 2
[5,6,1,2,4,3,7] => 2
[5,6,1,2,7,3,4] => 7
[5,6,1,3,7,2,4] => 7
[5,6,1,3,7,4,2] => 13
[5,6,1,4,2,3,7] => 6
[5,6,1,4,2,7,3] => 12
[5,6,1,4,3,2,7] => 2
[5,6,1,7,3,2,4] => 6
[5,6,1,7,3,4,2] => 12
[5,6,1,7,4,2,3] => 11
[5,6,2,1,3,4,7] => 2
[5,6,2,1,3,7,4] => 8
[5,6,2,1,7,3,4] => 7
[5,6,2,3,4,1,7] => 7
[5,6,2,3,4,7,1] => 8
[5,6,2,3,7,1,4] => 7
[5,6,2,4,1,3,7] => 6
[5,6,2,4,3,1,7] => 7
[5,6,2,4,3,7,1] => 8
[5,6,2,7,1,3,4] => 6
[5,6,2,7,1,4,3] => 6
[5,6,3,1,4,2,7] => 10
[5,6,3,2,4,1,7] => 7
[5,6,3,2,4,7,1] => 8
[5,6,3,2,7,4,1] => 13
[5,6,3,4,2,1,7] => 6
[5,6,3,4,7,1,2] => 7
[5,6,3,7,1,4,2] => 12
[5,6,3,7,2,4,1] => 12
[5,6,4,1,3,7,2] => 11
[5,6,4,1,7,2,3] => 10
[5,6,4,2,1,7,3] => 11
[5,6,4,2,3,1,7] => 10
[5,6,4,2,3,7,1] => 11
[5,6,7,1,2,3,4] => 3
[5,6,7,1,3,2,4] => 3
[5,6,7,2,1,4,3] => 3
[5,6,7,2,4,1,3] => 8
[5,6,7,3,2,1,4] => 3
[5,6,7,3,2,4,1] => 9
[5,6,7,3,4,1,2] => 8
[5,6,7,4,1,2,3] => 7
[5,6,7,4,2,3,1] => 13
[5,7,1,2,4,6,3] => 8
[5,7,1,2,6,3,4] => 7
[5,7,1,2,6,4,3] => 7
[5,7,1,3,4,6,2] => 8
[5,7,1,4,6,2,3] => 7
[5,7,1,6,4,3,2] => 6
[5,7,2,1,4,3,6] => 2
[5,7,2,1,4,6,3] => 8
[5,7,2,1,6,3,4] => 7
[5,7,2,3,4,6,1] => 8
[5,7,2,4,1,6,3] => 12
[5,7,2,4,3,1,6] => 7
[5,7,2,6,3,1,4] => 11
[5,7,2,6,3,4,1] => 12
[5,7,2,6,4,3,1] => 12
[5,7,3,1,2,6,4] => 11
[5,7,3,1,6,2,4] => 10
[5,7,3,2,1,6,4] => 8
[5,7,3,2,6,4,1] => 13
[5,7,3,4,1,2,6] => 6
[5,7,3,4,1,6,2] => 12
[5,7,3,4,6,1,2] => 7
[5,7,3,4,6,2,1] => 7
[5,7,3,6,1,2,4] => 6
[5,7,3,6,2,1,4] => 6
[5,7,3,6,2,4,1] => 12
[5,7,3,6,4,1,2] => 11
[5,7,4,1,2,3,6] => 5
[5,7,4,1,2,6,3] => 11
[5,7,4,1,3,2,6] => 5
[5,7,4,1,3,6,2] => 11
[5,7,4,1,6,3,2] => 10
[5,7,4,2,1,3,6] => 5
[5,7,4,2,3,1,6] => 10
[5,7,4,2,3,6,1] => 11
[5,7,4,2,6,1,3] => 10
[5,7,4,3,2,1,6] => 2
[5,7,4,3,2,6,1] => 8
[5,7,4,6,2,1,3] => 6
[5,7,4,6,2,3,1] => 12
[5,7,4,6,3,1,2] => 11
[5,7,6,1,3,4,2] => 9
[5,7,6,2,1,4,3] => 3
[5,7,6,2,4,3,1] => 9
[5,7,6,3,2,4,1] => 9
[5,7,6,4,2,1,3] => 7
[5,7,6,4,3,2,1] => 3
[6,1,2,3,4,5,7] => 1
[6,1,2,3,7,4,5] => 6
[6,1,2,4,5,3,7] => 6
[6,1,2,4,5,7,3] => 7
[6,1,2,4,7,5,3] => 12
[6,1,2,5,4,3,7] => 1
[6,1,2,5,4,7,3] => 7
[6,1,2,5,7,3,4] => 6
[6,1,2,5,7,4,3] => 6
[6,1,2,7,4,3,5] => 5
[6,1,2,7,4,5,3] => 11
[6,1,2,7,5,3,4] => 10
[6,1,2,7,5,4,3] => 5
[6,1,3,2,4,5,7] => 1
[6,1,3,2,4,7,5] => 7
[6,1,3,2,7,4,5] => 6
[6,1,3,2,7,5,4] => 6
[6,1,3,4,2,5,7] => 5
[6,1,3,4,5,7,2] => 7
[6,1,3,4,7,2,5] => 6
[6,1,3,4,7,5,2] => 12
[6,1,3,5,2,4,7] => 5
[6,1,3,5,4,7,2] => 7
[6,1,3,5,7,2,4] => 6
[6,1,3,7,2,4,5] => 5
[6,1,3,7,4,2,5] => 10
[6,1,3,7,4,5,2] => 11
[6,1,4,3,2,7,5] => 7
[6,1,4,3,7,2,5] => 6
[6,1,4,5,3,7,2] => 11
[6,1,4,5,7,3,2] => 6
[6,1,4,7,2,5,3] => 11
[6,1,4,7,3,5,2] => 11
[6,1,4,7,5,2,3] => 10
[6,1,5,2,3,4,7] => 4
[6,1,5,2,4,3,7] => 4
[6,1,5,2,7,3,4] => 9
[6,1,5,3,2,4,7] => 4
[6,1,5,3,7,2,4] => 9
[6,1,5,4,2,7,3] => 11
[6,1,5,4,3,2,7] => 1
[6,1,5,4,3,7,2] => 7
[6,1,5,7,2,3,4] => 5
[6,1,5,7,3,4,2] => 11
[6,1,5,7,4,3,2] => 5
[6,1,7,2,3,4,5] => 4
[6,1,7,2,3,5,4] => 4
[6,1,7,2,5,4,3] => 4
[6,1,7,3,2,4,5] => 4
[6,1,7,3,2,5,4] => 4
[6,1,7,3,4,2,5] => 9
[6,1,7,3,5,4,2] => 10
[6,1,7,4,2,3,5] => 8
[6,1,7,4,2,5,3] => 14
[6,1,7,4,3,5,2] => 10
[6,1,7,5,4,2,3] => 9
[6,1,7,5,4,3,2] => 4
[6,2,1,3,4,7,5] => 7
[6,2,1,3,5,4,7] => 1
[6,2,1,4,3,7,5] => 7
[6,2,1,4,5,3,7] => 6
[6,2,1,4,7,3,5] => 6
[6,2,1,4,7,5,3] => 12
[6,2,1,5,3,7,4] => 11
[6,2,1,5,7,3,4] => 6
[6,2,1,7,3,5,4] => 5
[6,2,1,7,4,3,5] => 5
[6,2,3,1,4,5,7] => 4
[6,2,3,1,4,7,5] => 10
[6,2,3,1,5,4,7] => 4
[6,2,3,1,7,4,5] => 9
[6,2,3,4,5,7,1] => 7
[6,2,3,4,7,1,5] => 6
[6,2,3,4,7,5,1] => 12
[6,2,3,5,1,7,4] => 11
[6,2,3,5,4,1,7] => 6
[6,2,4,1,3,7,5] => 10
[6,2,4,3,1,5,7] => 5
[6,2,4,3,5,1,7] => 6
[6,2,4,3,7,5,1] => 12
[6,2,4,5,1,7,3] => 11
[6,2,4,5,7,3,1] => 12
[6,2,4,7,1,5,3] => 11
[6,2,4,7,3,5,1] => 11
[6,2,4,7,5,1,3] => 10
[6,2,4,7,5,3,1] => 16
[6,2,5,1,4,3,7] => 4
[6,2,5,1,7,3,4] => 9
[6,2,5,3,1,4,7] => 8
[6,2,5,3,7,4,1] => 15
[6,2,5,4,1,3,7] => 5
[6,2,5,7,3,1,4] => 10
[6,2,5,7,4,3,1] => 11
[6,2,7,1,3,4,5] => 4
[6,2,7,1,3,5,4] => 4
[6,2,7,1,5,4,3] => 4
[6,2,7,3,1,4,5] => 8
[6,2,7,4,5,1,3] => 9
[6,2,7,4,5,3,1] => 15
[6,2,7,5,1,3,4] => 8
[6,3,1,2,5,7,4] => 9
[6,3,1,2,7,4,5] => 8
[6,3,1,4,2,5,7] => 7
[6,3,1,4,7,5,2] => 14
[6,3,1,5,2,4,7] => 7
[6,3,1,5,4,2,7] => 8
[6,3,1,7,2,4,5] => 7
[6,3,1,7,2,5,4] => 7
[6,3,1,7,4,2,5] => 12
[6,3,1,7,4,5,2] => 13
[6,3,1,7,5,2,4] => 12
[6,3,1,7,5,4,2] => 13
[6,3,2,1,7,5,4] => 6
[6,3,2,4,1,5,7] => 5
[6,3,2,4,5,7,1] => 7
[6,3,2,5,1,4,7] => 5
[6,3,2,5,4,1,7] => 6
[6,3,2,5,7,1,4] => 6
[6,3,2,7,4,1,5] => 10
[6,3,2,7,4,5,1] => 11
[6,3,4,1,5,7,2] => 10
[6,3,4,1,7,2,5] => 9
[6,3,4,1,7,5,2] => 15
[6,3,4,2,1,5,7] => 4
[6,3,4,2,1,7,5] => 10
[6,3,4,2,5,1,7] => 9
[6,3,4,5,1,2,7] => 5
[6,3,4,5,1,7,2] => 11
[6,3,4,5,2,7,1] => 11
[6,3,4,5,7,1,2] => 6
[6,3,4,5,7,2,1] => 6
[6,3,4,7,1,5,2] => 11
[6,3,4,7,2,5,1] => 11
[6,3,5,1,4,2,7] => 9
[6,3,5,1,4,7,2] => 10
[6,3,5,1,7,2,4] => 9
[6,3,5,1,7,4,2] => 15
[6,3,5,2,4,7,1] => 10
[6,3,5,4,1,2,7] => 5
[6,3,5,4,1,7,2] => 11
[6,3,5,4,2,7,1] => 11
[6,3,5,4,7,1,2] => 6
[6,3,5,4,7,2,1] => 6
[6,3,5,7,2,4,1] => 11
[6,3,5,7,4,1,2] => 10
[6,3,7,1,2,4,5] => 4
[6,3,7,1,4,2,5] => 9
[6,3,7,1,5,4,2] => 10
[6,3,7,2,4,1,5] => 9
[6,3,7,2,4,5,1] => 10
[6,3,7,4,1,2,5] => 8
[6,3,7,4,2,1,5] => 8
[6,3,7,5,1,2,4] => 8
[6,3,7,5,4,1,2] => 9
[6,4,1,2,3,5,7] => 3
[6,4,1,2,5,7,3] => 9
[6,4,1,2,7,3,5] => 8
[6,4,1,5,7,2,3] => 8
[6,4,1,7,2,3,5] => 7
[6,4,1,7,3,2,5] => 7
[6,4,1,7,3,5,2] => 13
[6,4,1,7,5,3,2] => 12
[6,4,2,1,3,5,7] => 3
[6,4,2,1,7,5,3] => 14
[6,4,2,3,7,1,5] => 8
[6,4,2,3,7,5,1] => 14
[6,4,2,5,1,3,7] => 7
[6,4,2,5,7,3,1] => 14
[6,4,2,7,1,5,3] => 13
[6,4,2,7,3,1,5] => 12
[6,4,3,1,5,2,7] => 9
[6,4,3,1,7,2,5] => 9
[6,4,3,2,1,7,5] => 7
[6,4,3,2,5,7,1] => 7
[6,4,3,2,7,5,1] => 12
[6,4,3,5,1,7,2] => 11
[6,4,3,5,7,1,2] => 6
[6,4,3,7,1,5,2] => 11
[6,4,3,7,5,2,1] => 10
[6,4,5,1,7,2,3] => 9
[6,4,5,2,1,3,7] => 4
[6,4,5,2,1,7,3] => 10
[6,4,5,2,3,1,7] => 9
[6,4,5,2,3,7,1] => 10
[6,4,5,2,7,3,1] => 15
[6,4,5,3,1,2,7] => 8
[6,4,5,3,2,1,7] => 4
[6,4,5,3,7,2,1] => 9
[6,4,5,7,1,2,3] => 5
[6,4,5,7,1,3,2] => 5
[6,4,5,7,2,1,3] => 5
[6,4,5,7,3,1,2] => 10
[6,4,7,1,3,2,5] => 4
[6,4,7,3,1,2,5] => 8
[6,4,7,3,2,1,5] => 4
[6,4,7,3,5,1,2] => 9
[6,4,7,5,2,1,3] => 8
[6,4,7,5,3,1,2] => 13
[6,5,1,2,3,4,7] => 2
[6,5,1,4,3,2,7] => 2
[6,5,1,4,7,2,3] => 7
[6,5,1,4,7,3,2] => 7
[6,5,1,7,3,2,4] => 6
[6,5,1,7,3,4,2] => 12
[6,5,1,7,4,2,3] => 11
[6,5,2,1,3,7,4] => 8
[6,5,2,1,4,3,7] => 2
[6,5,2,1,7,3,4] => 7
[6,5,2,3,1,4,7] => 6
[6,5,2,3,1,7,4] => 12
[6,5,2,4,1,3,7] => 6
[6,5,2,4,3,1,7] => 7
[6,5,2,4,3,7,1] => 8
[6,5,2,7,1,3,4] => 6
[6,5,2,7,3,4,1] => 12
[6,5,3,1,7,2,4] => 10
[6,5,3,1,7,4,2] => 16
[6,5,3,2,1,7,4] => 8
[6,5,3,2,4,1,7] => 7
[6,5,3,2,7,1,4] => 7
[6,5,3,2,7,4,1] => 13
[6,5,3,7,1,4,2] => 12
[6,5,3,7,2,4,1] => 12
[6,5,3,7,4,1,2] => 11
[6,5,4,2,7,1,3] => 8
[6,5,4,2,7,3,1] => 14
[6,5,4,3,1,7,2] => 10
[6,5,4,3,2,1,7] => 0
[6,5,4,3,7,1,2] => 5
[6,5,4,3,7,2,1] => 5
[6,5,4,7,1,3,2] => 4
[6,5,4,7,2,3,1] => 10
[6,5,7,1,2,4,3] => 3
[6,5,7,1,3,2,4] => 3
[6,5,7,1,4,2,3] => 8
[6,5,7,2,3,4,1] => 9
[6,5,7,2,4,3,1] => 9
[6,5,7,3,1,4,2] => 13
[6,5,7,3,4,1,2] => 8
[6,5,7,3,4,2,1] => 8
[6,5,7,4,1,3,2] => 7
[6,5,7,4,2,1,3] => 7
[6,5,7,4,3,1,2] => 8
[6,5,7,4,3,2,1] => 3
[6,7,1,3,2,4,5] => 2
[6,7,1,3,2,5,4] => 2
[6,7,1,3,4,2,5] => 7
[6,7,1,3,4,5,2] => 8
[6,7,1,4,2,5,3] => 12
[6,7,1,4,3,2,5] => 2
[6,7,1,4,3,5,2] => 8
[6,7,1,4,5,2,3] => 7
[6,7,1,4,5,3,2] => 7
[6,7,1,5,2,4,3] => 6
[6,7,1,5,3,2,4] => 6
[6,7,1,5,4,3,2] => 2
[6,7,2,1,3,5,4] => 2
[6,7,2,1,4,3,5] => 2
[6,7,2,1,4,5,3] => 8
[6,7,2,1,5,3,4] => 7
[6,7,2,3,1,4,5] => 6
[6,7,2,3,1,5,4] => 6
[6,7,2,3,4,1,5] => 7
[6,7,2,3,4,5,1] => 8
[6,7,2,3,5,1,4] => 7
[6,7,2,4,3,1,5] => 7
[6,7,2,4,3,5,1] => 8
[6,7,2,4,5,3,1] => 13
[6,7,2,5,1,4,3] => 6
[6,7,2,5,3,1,4] => 11
[6,7,2,5,4,1,3] => 7
[6,7,3,1,2,5,4] => 5
[6,7,3,1,4,2,5] => 10
[6,7,3,2,5,1,4] => 7
[6,7,3,4,1,5,2] => 12
[6,7,3,4,2,5,1] => 12
[6,7,3,4,5,1,2] => 7
[6,7,3,4,5,2,1] => 7
[6,7,3,5,1,2,4] => 6
[6,7,3,5,2,4,1] => 12
[6,7,4,1,2,3,5] => 5
[6,7,4,1,2,5,3] => 11
[6,7,4,1,3,2,5] => 5
[6,7,4,1,5,3,2] => 10
[6,7,4,2,1,3,5] => 5
[6,7,4,2,3,5,1] => 11
[6,7,4,3,1,2,5] => 6
[6,7,4,3,2,1,5] => 2
[6,7,4,3,2,5,1] => 8
[6,7,4,5,1,3,2] => 6
[6,7,4,5,2,1,3] => 6
[6,7,4,5,2,3,1] => 12
[6,7,4,5,3,1,2] => 11
[6,7,5,1,4,2,3] => 10
[6,7,5,1,4,3,2] => 5
[6,7,5,3,4,1,2] => 10
[6,7,5,4,1,2,3] => 6
[6,7,5,4,1,3,2] => 6
[6,7,5,4,2,3,1] => 12
[6,7,5,4,3,1,2] => 7
[7,1,2,3,5,4,6] => 1
[7,1,2,3,5,6,4] => 7
[7,1,2,4,3,6,5] => 1
[7,1,2,4,6,3,5] => 6
[7,1,2,5,4,6,3] => 7
[7,1,2,5,6,4,3] => 6
[7,1,2,6,3,4,5] => 5
[7,1,2,6,3,5,4] => 5
[7,1,2,6,4,3,5] => 5
[7,1,2,6,5,3,4] => 6
[7,1,2,6,5,4,3] => 1
[7,1,3,2,5,6,4] => 7
[7,1,3,2,6,5,4] => 1
[7,1,3,4,2,6,5] => 5
[7,1,3,4,5,6,2] => 7
[7,1,3,4,6,2,5] => 6
[7,1,3,5,2,4,6] => 5
[7,1,3,5,2,6,4] => 11
[7,1,3,5,4,2,6] => 6
[7,1,3,5,4,6,2] => 7
[7,1,3,5,6,2,4] => 6
[7,1,3,6,2,5,4] => 5
[7,1,3,6,5,4,2] => 7
[7,1,4,2,3,5,6] => 4
[7,1,4,2,3,6,5] => 4
[7,1,4,3,5,2,6] => 6
[7,1,4,3,5,6,2] => 7
[7,1,4,3,6,2,5] => 6
[7,1,4,3,6,5,2] => 7
[7,1,4,5,3,2,6] => 5
[7,1,4,5,3,6,2] => 11
[7,1,4,5,6,3,2] => 6
[7,1,4,6,2,3,5] => 5
[7,1,4,6,2,5,3] => 11
[7,1,4,6,3,2,5] => 5
[7,1,4,6,5,3,2] => 6
[7,1,5,2,4,3,6] => 4
[7,1,5,2,6,4,3] => 9
[7,1,5,3,2,4,6] => 4
[7,1,5,3,2,6,4] => 10
[7,1,5,3,4,2,6] => 9
[7,1,5,6,2,4,3] => 5
[7,1,5,6,3,2,4] => 5
[7,1,5,6,4,3,2] => 5
[7,1,6,2,4,5,3] => 10
[7,1,6,2,5,3,4] => 9
[7,1,6,2,5,4,3] => 4
[7,1,6,3,5,2,4] => 9
[7,1,6,4,2,5,3] => 14
[7,1,6,4,3,2,5] => 4
[7,1,6,4,5,2,3] => 9
[7,1,6,4,5,3,2] => 9
[7,1,6,5,2,3,4] => 5
[7,1,6,5,3,4,2] => 11
[7,1,6,5,4,3,2] => 1
[7,2,1,3,4,6,5] => 1
[7,2,1,3,5,6,4] => 7
[7,2,1,3,6,4,5] => 6
[7,2,1,4,5,6,3] => 7
[7,2,1,4,6,5,3] => 7
[7,2,1,5,4,3,6] => 1
[7,2,1,5,4,6,3] => 7
[7,2,3,4,1,5,6] => 5
[7,2,3,4,5,6,1] => 7
[7,2,3,5,1,4,6] => 5
[7,2,3,5,4,6,1] => 7
[7,2,3,5,6,4,1] => 12
[7,2,3,6,5,1,4] => 6
[7,2,4,1,5,3,6] => 9
[7,2,4,3,1,5,6] => 5
[7,2,4,3,5,6,1] => 7
[7,2,4,3,6,5,1] => 7
[7,2,4,5,1,6,3] => 11
[7,2,4,5,3,1,6] => 10
[7,2,4,5,3,6,1] => 11
[7,2,4,5,6,3,1] => 12
[7,2,5,1,6,3,4] => 9
[7,2,5,3,1,4,6] => 8
[7,2,5,3,4,1,6] => 9
[7,2,5,3,6,4,1] => 15
[7,2,5,4,3,6,1] => 7
[7,2,5,6,1,4,3] => 5
[7,2,5,6,3,1,4] => 10
[7,2,5,6,3,4,1] => 11
[7,2,5,6,4,1,3] => 10
[7,2,5,6,4,3,1] => 11
[7,2,6,1,5,3,4] => 9
[7,2,6,3,1,5,4] => 8
[7,2,6,3,4,1,5] => 9
[7,2,6,3,4,5,1] => 10
[7,2,6,3,5,4,1] => 10
[7,2,6,4,1,3,5] => 8
[7,2,6,5,1,3,4] => 5
[7,2,6,5,3,1,4] => 10
[7,2,6,5,4,1,3] => 6
[7,3,1,2,5,6,4] => 9
[7,3,1,2,6,4,5] => 8
[7,3,1,4,2,5,6] => 7
[7,3,1,4,6,5,2] => 9
[7,3,1,5,2,6,4] => 13
[7,3,1,6,4,5,2] => 13
[7,3,1,6,5,4,2] => 9
[7,3,2,1,5,4,6] => 1
[7,3,2,1,6,4,5] => 6
[7,3,2,1,6,5,4] => 1
[7,3,2,4,1,6,5] => 5
[7,3,2,4,5,6,1] => 7
[7,3,2,4,6,1,5] => 6
[7,3,2,4,6,5,1] => 7
[7,3,2,5,1,4,6] => 5
[7,3,2,5,1,6,4] => 11
[7,3,2,5,4,6,1] => 7
[7,3,2,5,6,1,4] => 6
[7,3,2,6,1,4,5] => 5
[7,3,2,6,5,1,4] => 6
[7,3,4,1,6,2,5] => 9
[7,3,4,1,6,5,2] => 10
[7,3,4,2,1,5,6] => 4
[7,3,4,2,5,1,6] => 9
[7,3,4,2,5,6,1] => 10
[7,3,4,5,6,2,1] => 6
[7,3,5,1,4,2,6] => 9
[7,3,5,1,4,6,2] => 10
[7,3,5,2,1,4,6] => 4
[7,3,5,4,1,2,6] => 5
[7,3,5,4,6,1,2] => 6
[7,3,5,4,6,2,1] => 6
[7,3,5,6,1,2,4] => 5
[7,3,5,6,1,4,2] => 11
[7,3,5,6,2,4,1] => 11
[7,3,5,6,4,1,2] => 10
[7,3,6,1,2,5,4] => 4
[7,3,6,1,4,2,5] => 9
[7,3,6,2,1,4,5] => 4
[7,3,6,2,1,5,4] => 4
[7,3,6,2,4,5,1] => 10
[7,3,6,2,5,1,4] => 9
[7,3,6,2,5,4,1] => 10
[7,3,6,4,2,1,5] => 8
[7,3,6,4,2,5,1] => 14
[7,3,6,4,5,1,2] => 9
[7,3,6,5,1,4,2] => 11
[7,3,6,5,2,1,4] => 5
[7,3,6,5,4,1,2] => 6
[7,4,1,2,3,5,6] => 3
[7,4,1,2,5,3,6] => 8
[7,4,1,2,6,5,3] => 9
[7,4,1,3,5,6,2] => 9
[7,4,1,5,3,2,6] => 7
[7,4,1,6,2,5,3] => 13
[7,4,2,1,3,5,6] => 3
[7,4,2,1,5,3,6] => 8
[7,4,2,5,1,3,6] => 7
[7,4,2,5,1,6,3] => 13
[7,4,2,5,3,1,6] => 12
[7,4,2,6,5,1,3] => 8
[7,4,2,6,5,3,1] => 14
[7,4,3,1,2,6,5] => 4
[7,4,3,1,5,2,6] => 9
[7,4,3,1,5,6,2] => 10
[7,4,3,1,6,5,2] => 10
[7,4,3,2,1,5,6] => 1
[7,4,3,2,1,6,5] => 1
[7,4,3,2,5,1,6] => 6
[7,4,3,2,5,6,1] => 7
[7,4,3,5,1,6,2] => 11
[7,4,3,5,2,1,6] => 5
[7,4,3,5,2,6,1] => 11
[7,4,3,5,6,1,2] => 6
[7,4,3,6,1,2,5] => 5
[7,4,3,6,1,5,2] => 11
[7,4,3,6,2,1,5] => 5
[7,4,3,6,2,5,1] => 11
[7,4,3,6,5,1,2] => 6
[7,4,5,1,6,3,2] => 9
[7,4,5,2,1,6,3] => 10
[7,4,5,3,2,1,6] => 4
[7,4,5,6,1,2,3] => 5
[7,4,5,6,2,1,3] => 5
[7,4,5,6,3,2,1] => 5
[7,4,6,1,3,5,2] => 10
[7,4,6,1,5,3,2] => 9
[7,4,6,2,1,3,5] => 4
[7,4,6,3,1,5,2] => 14
[7,4,6,3,2,1,5] => 4
[7,4,6,3,5,2,1] => 9
[7,4,6,5,1,2,3] => 5
[7,4,6,5,1,3,2] => 5
[7,5,1,2,3,4,6] => 3
[7,5,1,2,3,6,4] => 9
[7,5,1,2,4,6,3] => 9
[7,5,1,2,6,3,4] => 8
[7,5,1,2,6,4,3] => 8
[7,5,1,3,4,2,6] => 8
[7,5,1,3,6,4,2] => 14
[7,5,1,4,2,3,6] => 7
[7,5,1,4,2,6,3] => 13
[7,5,1,4,3,2,6] => 3
[7,5,1,4,3,6,2] => 9
[7,5,1,6,3,4,2] => 13
[7,5,1,6,4,2,3] => 12
[7,5,1,6,4,3,2] => 7
[7,5,2,1,3,4,6] => 3
[7,5,2,1,3,6,4] => 9
[7,5,2,1,4,3,6] => 3
[7,5,2,1,4,6,3] => 9
[7,5,2,1,6,4,3] => 8
[7,5,2,3,1,4,6] => 7
[7,5,2,3,1,6,4] => 13
[7,5,2,3,4,1,6] => 8
[7,5,2,3,4,6,1] => 9
[7,5,2,4,1,6,3] => 13
[7,5,2,6,1,3,4] => 7
[7,5,2,6,3,4,1] => 13
[7,5,2,6,4,1,3] => 12
[7,5,3,1,2,6,4] => 12
[7,5,3,2,1,6,4] => 9
[7,5,3,2,4,6,1] => 9
[7,5,3,4,2,1,6] => 7
[7,5,3,6,2,1,4] => 7
[7,5,3,6,2,4,1] => 13
[7,5,3,6,4,1,2] => 12
[7,5,4,1,3,2,6] => 4
[7,5,4,1,3,6,2] => 10
[7,5,4,1,6,3,2] => 9
[7,5,4,2,3,1,6] => 9
[7,5,4,2,6,1,3] => 9
[7,5,4,2,6,3,1] => 15
[7,5,4,3,1,2,6] => 5
[7,5,4,3,2,6,1] => 7
[7,5,4,6,1,3,2] => 5
[7,5,4,6,2,3,1] => 11
[7,5,6,1,2,3,4] => 4
[7,5,6,2,1,3,4] => 4
[7,5,6,2,1,4,3] => 4
[7,5,6,4,1,3,2] => 8
[7,5,6,4,2,1,3] => 8
[7,5,6,4,2,3,1] => 14
[7,6,1,2,3,4,5] => 2
[7,6,1,2,5,3,4] => 7
[7,6,1,2,5,4,3] => 2
[7,6,1,3,2,5,4] => 2
[7,6,1,3,4,5,2] => 8
[7,6,1,4,2,5,3] => 12
[7,6,1,4,3,5,2] => 8
[7,6,1,5,4,3,2] => 2
[7,6,2,1,3,4,5] => 2
[7,6,2,1,5,4,3] => 2
[7,6,2,3,1,4,5] => 6
[7,6,2,3,4,1,5] => 7
[7,6,2,3,4,5,1] => 8
[7,6,2,4,1,5,3] => 12
[7,6,2,4,3,5,1] => 8
[7,6,2,4,5,1,3] => 7
[7,6,2,4,5,3,1] => 13
[7,6,2,5,1,4,3] => 6
[7,6,2,5,3,1,4] => 11
[7,6,3,1,2,4,5] => 5
[7,6,3,1,4,5,2] => 11
[7,6,3,2,5,1,4] => 7
[7,6,3,2,5,4,1] => 8
[7,6,3,4,1,2,5] => 6
[7,6,3,4,5,1,2] => 7
[7,6,3,5,1,4,2] => 12
[7,6,3,5,2,1,4] => 6
[7,6,3,5,2,4,1] => 12
[7,6,3,5,4,1,2] => 7
[7,6,4,1,2,3,5] => 5
[7,6,4,1,3,5,2] => 11
[7,6,4,2,1,3,5] => 5
[7,6,4,2,3,5,1] => 11
[7,6,4,2,5,1,3] => 10
[7,6,4,3,1,2,5] => 6
[7,6,4,3,1,5,2] => 12
[7,6,4,3,2,5,1] => 8
[7,6,4,5,1,3,2] => 6
[7,6,4,5,3,2,1] => 6
[7,6,5,1,2,3,4] => 3
[7,6,5,1,3,2,4] => 3
[7,6,5,1,4,3,2] => 3
[7,6,5,2,1,4,3] => 3
[7,6,5,2,3,1,4] => 8
[7,6,5,3,4,2,1] => 8
[7,6,5,4,1,2,3] => 4
[7,6,5,4,1,3,2] => 4
[7,6,5,4,2,3,1] => 10
[7,6,5,4,3,1,2] => 5
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
4,1,1 8,4,6,4,2 16,12,21,22,23,12,11,2,1 32,32,62,80,106,102,102,78,62,36,18,8,2
F2=2
F3=4+q+q2
F4=8+4 q+6 q2+4 q3+2 q4
F5=16+12 q+21 q2+22 q3+23 q4+12 q5+11 q6+2 q7+q8
F6=32+32 q+62 q2+80 q3+106 q4+102 q5+102 q6+78 q7+62 q8+36 q9+18 q10+8 q11+2 q12
Description
The shifted major index of a permutation.
This is given by the sum of all indices i such that π(i)−π(i+1)>1.
Summing with St000354The number of recoils of a permutation. yields Rawlings' Mahonian statistic, see [1, p. 50].
This is given by the sum of all indices i such that π(i)−π(i+1)>1.
Summing with St000354The number of recoils of a permutation. yields Rawlings' Mahonian statistic, see [1, p. 50].
References
Code
def statistic(pi):
return sum( i+1 for i in range(len(pi)-1) if pi[i] - pi[i+1] >= 2 )
Created
Aug 29, 2017 at 11:06 by Christian Stump
Updated
Mar 04, 2021 at 08:59 by Christian Stump
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