Identifier
-
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
Mp00329: Permutations —Tanimoto⟶ Permutations
St000018: Permutations ⟶ ℤ
Values
[1] => [1] => [1] => 0
[1,2] => [1,2] => [1,2] => 0
[2,1] => [1,2] => [1,2] => 0
[1,2,3] => [1,2,3] => [1,2,3] => 0
[1,3,2] => [1,2,3] => [1,2,3] => 0
[2,1,3] => [1,2,3] => [1,2,3] => 0
[2,3,1] => [1,2,3] => [1,2,3] => 0
[3,1,2] => [1,3,2] => [2,1,3] => 1
[3,2,1] => [1,3,2] => [2,1,3] => 1
[1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[1,2,4,3] => [1,2,3,4] => [1,2,3,4] => 0
[1,3,2,4] => [1,2,3,4] => [1,2,3,4] => 0
[1,3,4,2] => [1,2,3,4] => [1,2,3,4] => 0
[1,4,2,3] => [1,2,4,3] => [2,3,1,4] => 2
[1,4,3,2] => [1,2,4,3] => [2,3,1,4] => 2
[2,1,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[2,1,4,3] => [1,2,3,4] => [1,2,3,4] => 0
[2,3,1,4] => [1,2,3,4] => [1,2,3,4] => 0
[2,3,4,1] => [1,2,3,4] => [1,2,3,4] => 0
[2,4,1,3] => [1,2,4,3] => [2,3,1,4] => 2
[2,4,3,1] => [1,2,4,3] => [2,3,1,4] => 2
[3,1,2,4] => [1,3,2,4] => [1,2,4,3] => 1
[3,1,4,2] => [1,3,4,2] => [2,4,1,3] => 3
[3,2,1,4] => [1,3,2,4] => [1,2,4,3] => 1
[3,2,4,1] => [1,3,4,2] => [2,4,1,3] => 3
[3,4,1,2] => [1,3,2,4] => [1,2,4,3] => 1
[3,4,2,1] => [1,3,2,4] => [1,2,4,3] => 1
[4,1,2,3] => [1,4,3,2] => [2,1,4,3] => 2
[4,1,3,2] => [1,4,2,3] => [2,1,3,4] => 1
[4,2,1,3] => [1,4,3,2] => [2,1,4,3] => 2
[4,2,3,1] => [1,4,2,3] => [2,1,3,4] => 1
[4,3,1,2] => [1,4,2,3] => [2,1,3,4] => 1
[4,3,2,1] => [1,4,2,3] => [2,1,3,4] => 1
[1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,2,3,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,2,4,3,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,2,4,5,3] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,2,5,3,4] => [1,2,3,5,4] => [2,3,4,1,5] => 3
[1,2,5,4,3] => [1,2,3,5,4] => [2,3,4,1,5] => 3
[1,3,2,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,3,2,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,3,4,2,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,3,4,5,2] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,3,5,2,4] => [1,2,3,5,4] => [2,3,4,1,5] => 3
[1,3,5,4,2] => [1,2,3,5,4] => [2,3,4,1,5] => 3
[1,4,2,3,5] => [1,2,4,3,5] => [1,2,3,5,4] => 1
[1,4,2,5,3] => [1,2,4,5,3] => [2,3,5,1,4] => 4
[1,4,3,2,5] => [1,2,4,3,5] => [1,2,3,5,4] => 1
[1,4,3,5,2] => [1,2,4,5,3] => [2,3,5,1,4] => 4
[1,4,5,2,3] => [1,2,4,3,5] => [1,2,3,5,4] => 1
[1,4,5,3,2] => [1,2,4,3,5] => [1,2,3,5,4] => 1
[1,5,2,3,4] => [1,2,5,4,3] => [2,3,1,5,4] => 3
[1,5,2,4,3] => [1,2,5,3,4] => [2,3,1,4,5] => 2
[1,5,3,2,4] => [1,2,5,4,3] => [2,3,1,5,4] => 3
[1,5,3,4,2] => [1,2,5,3,4] => [2,3,1,4,5] => 2
[1,5,4,2,3] => [1,2,5,3,4] => [2,3,1,4,5] => 2
[1,5,4,3,2] => [1,2,5,3,4] => [2,3,1,4,5] => 2
[2,1,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[2,1,3,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[2,1,4,3,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[2,1,4,5,3] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[2,1,5,3,4] => [1,2,3,5,4] => [2,3,4,1,5] => 3
[2,1,5,4,3] => [1,2,3,5,4] => [2,3,4,1,5] => 3
[2,3,1,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[2,3,1,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[2,3,4,1,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[2,3,4,5,1] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[2,3,5,1,4] => [1,2,3,5,4] => [2,3,4,1,5] => 3
[2,3,5,4,1] => [1,2,3,5,4] => [2,3,4,1,5] => 3
[2,4,1,3,5] => [1,2,4,3,5] => [1,2,3,5,4] => 1
[2,4,1,5,3] => [1,2,4,5,3] => [2,3,5,1,4] => 4
[2,4,3,1,5] => [1,2,4,3,5] => [1,2,3,5,4] => 1
[2,4,3,5,1] => [1,2,4,5,3] => [2,3,5,1,4] => 4
[2,4,5,1,3] => [1,2,4,3,5] => [1,2,3,5,4] => 1
[2,4,5,3,1] => [1,2,4,3,5] => [1,2,3,5,4] => 1
[2,5,1,3,4] => [1,2,5,4,3] => [2,3,1,5,4] => 3
[2,5,1,4,3] => [1,2,5,3,4] => [2,3,1,4,5] => 2
[2,5,3,1,4] => [1,2,5,4,3] => [2,3,1,5,4] => 3
[2,5,3,4,1] => [1,2,5,3,4] => [2,3,1,4,5] => 2
[2,5,4,1,3] => [1,2,5,3,4] => [2,3,1,4,5] => 2
[2,5,4,3,1] => [1,2,5,3,4] => [2,3,1,4,5] => 2
[3,1,2,4,5] => [1,3,2,4,5] => [1,2,4,3,5] => 1
[3,1,2,5,4] => [1,3,2,4,5] => [1,2,4,3,5] => 1
[3,1,4,2,5] => [1,3,4,2,5] => [1,2,4,5,3] => 2
[3,1,4,5,2] => [1,3,4,5,2] => [2,4,5,1,3] => 5
[3,1,5,2,4] => [1,3,5,4,2] => [2,4,1,5,3] => 4
[3,1,5,4,2] => [1,3,5,2,4] => [2,4,1,3,5] => 3
[3,2,1,4,5] => [1,3,2,4,5] => [1,2,4,3,5] => 1
[3,2,1,5,4] => [1,3,2,4,5] => [1,2,4,3,5] => 1
[3,2,4,1,5] => [1,3,4,2,5] => [1,2,4,5,3] => 2
[3,2,4,5,1] => [1,3,4,5,2] => [2,4,5,1,3] => 5
[3,2,5,1,4] => [1,3,5,4,2] => [2,4,1,5,3] => 4
[3,2,5,4,1] => [1,3,5,2,4] => [2,4,1,3,5] => 3
[3,4,1,2,5] => [1,3,2,4,5] => [1,2,4,3,5] => 1
[3,4,1,5,2] => [1,3,2,4,5] => [1,2,4,3,5] => 1
[3,4,2,1,5] => [1,3,2,4,5] => [1,2,4,3,5] => 1
[3,4,2,5,1] => [1,3,2,4,5] => [1,2,4,3,5] => 1
[3,4,5,1,2] => [1,3,5,2,4] => [2,4,1,3,5] => 3
[3,4,5,2,1] => [1,3,5,2,4] => [2,4,1,3,5] => 3
[3,5,1,2,4] => [1,3,2,5,4] => [2,4,3,1,5] => 4
[3,5,1,4,2] => [1,3,2,5,4] => [2,4,3,1,5] => 4
>>> Load all 1435 entries. <<<[3,5,2,1,4] => [1,3,2,5,4] => [2,4,3,1,5] => 4
[3,5,2,4,1] => [1,3,2,5,4] => [2,4,3,1,5] => 4
[3,5,4,1,2] => [1,3,4,2,5] => [1,2,4,5,3] => 2
[3,5,4,2,1] => [1,3,4,2,5] => [1,2,4,5,3] => 2
[4,1,2,3,5] => [1,4,3,2,5] => [1,2,5,4,3] => 3
[4,1,2,5,3] => [1,4,5,3,2] => [2,5,1,4,3] => 5
[4,1,3,2,5] => [1,4,2,3,5] => [1,2,5,3,4] => 2
[4,1,3,5,2] => [1,4,5,2,3] => [2,5,1,3,4] => 4
[4,1,5,2,3] => [1,4,2,3,5] => [1,2,5,3,4] => 2
[4,1,5,3,2] => [1,4,3,5,2] => [2,5,4,1,3] => 6
[4,2,1,3,5] => [1,4,3,2,5] => [1,2,5,4,3] => 3
[4,2,1,5,3] => [1,4,5,3,2] => [2,5,1,4,3] => 5
[4,2,3,1,5] => [1,4,2,3,5] => [1,2,5,3,4] => 2
[4,2,3,5,1] => [1,4,5,2,3] => [2,5,1,3,4] => 4
[4,2,5,1,3] => [1,4,2,3,5] => [1,2,5,3,4] => 2
[4,2,5,3,1] => [1,4,3,5,2] => [2,5,4,1,3] => 6
[4,3,1,2,5] => [1,4,2,3,5] => [1,2,5,3,4] => 2
[4,3,1,5,2] => [1,4,5,2,3] => [2,5,1,3,4] => 4
[4,3,2,1,5] => [1,4,2,3,5] => [1,2,5,3,4] => 2
[4,3,2,5,1] => [1,4,5,2,3] => [2,5,1,3,4] => 4
[4,3,5,1,2] => [1,4,2,3,5] => [1,2,5,3,4] => 2
[4,3,5,2,1] => [1,4,2,3,5] => [1,2,5,3,4] => 2
[4,5,1,2,3] => [1,4,2,5,3] => [2,5,3,1,4] => 5
[4,5,1,3,2] => [1,4,3,2,5] => [1,2,5,4,3] => 3
[4,5,2,1,3] => [1,4,2,5,3] => [2,5,3,1,4] => 5
[4,5,2,3,1] => [1,4,3,2,5] => [1,2,5,4,3] => 3
[4,5,3,1,2] => [1,4,2,5,3] => [2,5,3,1,4] => 5
[4,5,3,2,1] => [1,4,2,5,3] => [2,5,3,1,4] => 5
[5,1,2,3,4] => [1,5,4,3,2] => [2,1,5,4,3] => 4
[5,1,2,4,3] => [1,5,3,2,4] => [2,1,4,3,5] => 2
[5,1,3,2,4] => [1,5,4,2,3] => [2,1,5,3,4] => 3
[5,1,3,4,2] => [1,5,2,3,4] => [2,1,3,4,5] => 1
[5,1,4,2,3] => [1,5,3,4,2] => [2,1,4,5,3] => 3
[5,1,4,3,2] => [1,5,2,3,4] => [2,1,3,4,5] => 1
[5,2,1,3,4] => [1,5,4,3,2] => [2,1,5,4,3] => 4
[5,2,1,4,3] => [1,5,3,2,4] => [2,1,4,3,5] => 2
[5,2,3,1,4] => [1,5,4,2,3] => [2,1,5,3,4] => 3
[5,2,3,4,1] => [1,5,2,3,4] => [2,1,3,4,5] => 1
[5,2,4,1,3] => [1,5,3,4,2] => [2,1,4,5,3] => 3
[5,2,4,3,1] => [1,5,2,3,4] => [2,1,3,4,5] => 1
[5,3,1,2,4] => [1,5,4,2,3] => [2,1,5,3,4] => 3
[5,3,1,4,2] => [1,5,2,3,4] => [2,1,3,4,5] => 1
[5,3,2,1,4] => [1,5,4,2,3] => [2,1,5,3,4] => 3
[5,3,2,4,1] => [1,5,2,3,4] => [2,1,3,4,5] => 1
[5,3,4,1,2] => [1,5,2,3,4] => [2,1,3,4,5] => 1
[5,3,4,2,1] => [1,5,2,3,4] => [2,1,3,4,5] => 1
[5,4,1,2,3] => [1,5,3,2,4] => [2,1,4,3,5] => 2
[5,4,1,3,2] => [1,5,2,4,3] => [2,1,3,5,4] => 2
[5,4,2,1,3] => [1,5,3,2,4] => [2,1,4,3,5] => 2
[5,4,2,3,1] => [1,5,2,4,3] => [2,1,3,5,4] => 2
[5,4,3,1,2] => [1,5,2,4,3] => [2,1,3,5,4] => 2
[5,4,3,2,1] => [1,5,2,4,3] => [2,1,3,5,4] => 2
[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] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,3,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,3,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,3,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[1,2,3,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[1,2,4,3,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,4,3,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,4,5,3,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,4,5,6,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,4,6,3,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[1,2,4,6,5,3] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[1,2,5,3,4,6] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[1,2,5,3,6,4] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => 5
[1,2,5,4,3,6] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[1,2,5,4,6,3] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => 5
[1,2,5,6,3,4] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[1,2,5,6,4,3] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[1,2,6,3,4,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => 4
[1,2,6,3,5,4] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[1,2,6,4,3,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => 4
[1,2,6,4,5,3] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[1,2,6,5,3,4] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[1,2,6,5,4,3] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[1,3,2,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,3,2,4,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,3,2,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,3,2,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,3,2,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[1,3,2,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[1,3,4,2,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,3,4,2,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,3,4,5,2,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,3,4,5,6,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,3,4,6,2,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[1,3,4,6,5,2] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[1,3,5,2,4,6] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[1,3,5,2,6,4] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => 5
[1,3,5,4,2,6] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[1,3,5,4,6,2] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => 5
[1,3,5,6,2,4] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[1,3,5,6,4,2] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[1,3,6,2,4,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => 4
[1,3,6,2,5,4] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[1,3,6,4,2,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => 4
[1,3,6,4,5,2] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[1,3,6,5,2,4] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[1,3,6,5,4,2] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[1,4,2,3,5,6] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[1,4,2,3,6,5] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[1,4,2,5,3,6] => [1,2,4,5,3,6] => [1,2,3,5,6,4] => 2
[1,4,2,5,6,3] => [1,2,4,5,6,3] => [2,3,5,6,1,4] => 6
[1,4,2,6,3,5] => [1,2,4,6,5,3] => [2,3,5,1,6,4] => 5
[1,4,2,6,5,3] => [1,2,4,6,3,5] => [2,3,5,1,4,6] => 4
[1,4,3,2,5,6] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[1,4,3,2,6,5] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[1,4,3,5,2,6] => [1,2,4,5,3,6] => [1,2,3,5,6,4] => 2
[1,4,3,5,6,2] => [1,2,4,5,6,3] => [2,3,5,6,1,4] => 6
[1,4,3,6,2,5] => [1,2,4,6,5,3] => [2,3,5,1,6,4] => 5
[1,4,3,6,5,2] => [1,2,4,6,3,5] => [2,3,5,1,4,6] => 4
[1,4,5,2,3,6] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[1,4,5,2,6,3] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[1,4,5,3,2,6] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[1,4,5,3,6,2] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[1,4,5,6,2,3] => [1,2,4,6,3,5] => [2,3,5,1,4,6] => 4
[1,4,5,6,3,2] => [1,2,4,6,3,5] => [2,3,5,1,4,6] => 4
[1,4,6,2,3,5] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => 5
[1,4,6,2,5,3] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => 5
[1,4,6,3,2,5] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => 5
[1,4,6,3,5,2] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => 5
[1,4,6,5,2,3] => [1,2,4,5,3,6] => [1,2,3,5,6,4] => 2
[1,4,6,5,3,2] => [1,2,4,5,3,6] => [1,2,3,5,6,4] => 2
[1,5,2,3,4,6] => [1,2,5,4,3,6] => [1,2,3,6,5,4] => 3
[1,5,2,3,6,4] => [1,2,5,6,4,3] => [2,3,6,1,5,4] => 6
[1,5,2,4,3,6] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[1,5,2,4,6,3] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => 5
[1,5,2,6,3,4] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[1,5,2,6,4,3] => [1,2,5,4,6,3] => [2,3,6,5,1,4] => 7
[1,5,3,2,4,6] => [1,2,5,4,3,6] => [1,2,3,6,5,4] => 3
[1,5,3,2,6,4] => [1,2,5,6,4,3] => [2,3,6,1,5,4] => 6
[1,5,3,4,2,6] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[1,5,3,4,6,2] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => 5
[1,5,3,6,2,4] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[1,5,3,6,4,2] => [1,2,5,4,6,3] => [2,3,6,5,1,4] => 7
[1,5,4,2,3,6] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[1,5,4,2,6,3] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => 5
[1,5,4,3,2,6] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[1,5,4,3,6,2] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => 5
[1,5,4,6,2,3] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[1,5,4,6,3,2] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[1,5,6,2,3,4] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => 6
[1,5,6,2,4,3] => [1,2,5,4,3,6] => [1,2,3,6,5,4] => 3
[1,5,6,3,2,4] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => 6
[1,5,6,3,4,2] => [1,2,5,4,3,6] => [1,2,3,6,5,4] => 3
[1,5,6,4,2,3] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => 6
[1,5,6,4,3,2] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => 6
[1,6,2,3,4,5] => [1,2,6,5,4,3] => [2,3,1,6,5,4] => 5
[1,6,2,3,5,4] => [1,2,6,4,3,5] => [2,3,1,5,4,6] => 3
[1,6,2,4,3,5] => [1,2,6,5,3,4] => [2,3,1,6,4,5] => 4
[1,6,2,4,5,3] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[1,6,2,5,3,4] => [1,2,6,4,5,3] => [2,3,1,5,6,4] => 4
[1,6,2,5,4,3] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[1,6,3,2,4,5] => [1,2,6,5,4,3] => [2,3,1,6,5,4] => 5
[1,6,3,2,5,4] => [1,2,6,4,3,5] => [2,3,1,5,4,6] => 3
[1,6,3,4,2,5] => [1,2,6,5,3,4] => [2,3,1,6,4,5] => 4
[1,6,3,4,5,2] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[1,6,3,5,2,4] => [1,2,6,4,5,3] => [2,3,1,5,6,4] => 4
[1,6,3,5,4,2] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[1,6,4,2,3,5] => [1,2,6,5,3,4] => [2,3,1,6,4,5] => 4
[1,6,4,2,5,3] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[1,6,4,3,2,5] => [1,2,6,5,3,4] => [2,3,1,6,4,5] => 4
[1,6,4,3,5,2] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[1,6,4,5,2,3] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[1,6,4,5,3,2] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[1,6,5,2,3,4] => [1,2,6,4,3,5] => [2,3,1,5,4,6] => 3
[1,6,5,2,4,3] => [1,2,6,3,5,4] => [2,3,1,4,6,5] => 3
[1,6,5,3,2,4] => [1,2,6,4,3,5] => [2,3,1,5,4,6] => 3
[1,6,5,3,4,2] => [1,2,6,3,5,4] => [2,3,1,4,6,5] => 3
[1,6,5,4,2,3] => [1,2,6,3,5,4] => [2,3,1,4,6,5] => 3
[1,6,5,4,3,2] => [1,2,6,3,5,4] => [2,3,1,4,6,5] => 3
[2,1,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,1,3,4,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,1,3,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,1,3,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,1,3,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[2,1,3,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[2,1,4,3,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,1,4,3,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,1,4,5,3,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,1,4,5,6,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,1,4,6,3,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[2,1,4,6,5,3] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[2,1,5,3,4,6] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[2,1,5,3,6,4] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => 5
[2,1,5,4,3,6] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[2,1,5,4,6,3] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => 5
[2,1,5,6,3,4] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[2,1,5,6,4,3] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[2,1,6,3,4,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => 4
[2,1,6,3,5,4] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[2,1,6,4,3,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => 4
[2,1,6,4,5,3] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[2,1,6,5,3,4] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[2,1,6,5,4,3] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[2,3,1,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,3,1,4,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,3,1,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,3,1,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,3,1,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[2,3,1,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[2,3,4,1,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,3,4,1,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,3,4,5,1,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,3,4,5,6,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,3,4,6,1,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[2,3,4,6,5,1] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 4
[2,3,5,1,4,6] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[2,3,5,1,6,4] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => 5
[2,3,5,4,1,6] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[2,3,5,4,6,1] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => 5
[2,3,5,6,1,4] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[2,3,5,6,4,1] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => 1
[2,3,6,1,4,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => 4
[2,3,6,1,5,4] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[2,3,6,4,1,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => 4
[2,3,6,4,5,1] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[2,3,6,5,1,4] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[2,3,6,5,4,1] => [1,2,3,6,4,5] => [2,3,4,1,5,6] => 3
[2,4,1,3,5,6] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[2,4,1,3,6,5] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[2,4,1,5,3,6] => [1,2,4,5,3,6] => [1,2,3,5,6,4] => 2
[2,4,1,5,6,3] => [1,2,4,5,6,3] => [2,3,5,6,1,4] => 6
[2,4,1,6,3,5] => [1,2,4,6,5,3] => [2,3,5,1,6,4] => 5
[2,4,1,6,5,3] => [1,2,4,6,3,5] => [2,3,5,1,4,6] => 4
[2,4,3,1,5,6] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[2,4,3,1,6,5] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[2,4,3,5,1,6] => [1,2,4,5,3,6] => [1,2,3,5,6,4] => 2
[2,4,3,5,6,1] => [1,2,4,5,6,3] => [2,3,5,6,1,4] => 6
[2,4,3,6,1,5] => [1,2,4,6,5,3] => [2,3,5,1,6,4] => 5
[2,4,3,6,5,1] => [1,2,4,6,3,5] => [2,3,5,1,4,6] => 4
[2,4,5,1,3,6] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[2,4,5,1,6,3] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[2,4,5,3,1,6] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[2,4,5,3,6,1] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => 1
[2,4,5,6,1,3] => [1,2,4,6,3,5] => [2,3,5,1,4,6] => 4
[2,4,5,6,3,1] => [1,2,4,6,3,5] => [2,3,5,1,4,6] => 4
[2,4,6,1,3,5] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => 5
[2,4,6,1,5,3] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => 5
[2,4,6,3,1,5] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => 5
[2,4,6,3,5,1] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => 5
[2,4,6,5,1,3] => [1,2,4,5,3,6] => [1,2,3,5,6,4] => 2
[2,4,6,5,3,1] => [1,2,4,5,3,6] => [1,2,3,5,6,4] => 2
[2,5,1,3,4,6] => [1,2,5,4,3,6] => [1,2,3,6,5,4] => 3
[2,5,1,3,6,4] => [1,2,5,6,4,3] => [2,3,6,1,5,4] => 6
[2,5,1,4,3,6] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[2,5,1,4,6,3] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => 5
[2,5,1,6,3,4] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[2,5,1,6,4,3] => [1,2,5,4,6,3] => [2,3,6,5,1,4] => 7
[2,5,3,1,4,6] => [1,2,5,4,3,6] => [1,2,3,6,5,4] => 3
[2,5,3,1,6,4] => [1,2,5,6,4,3] => [2,3,6,1,5,4] => 6
[2,5,3,4,1,6] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[2,5,3,4,6,1] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => 5
[2,5,3,6,1,4] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[2,5,3,6,4,1] => [1,2,5,4,6,3] => [2,3,6,5,1,4] => 7
[2,5,4,1,3,6] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[2,5,4,1,6,3] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => 5
[2,5,4,3,1,6] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[2,5,4,3,6,1] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => 5
[2,5,4,6,1,3] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[2,5,4,6,3,1] => [1,2,5,3,4,6] => [1,2,3,6,4,5] => 2
[2,5,6,1,3,4] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => 6
[2,5,6,1,4,3] => [1,2,5,4,3,6] => [1,2,3,6,5,4] => 3
[2,5,6,3,1,4] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => 6
[2,5,6,3,4,1] => [1,2,5,4,3,6] => [1,2,3,6,5,4] => 3
[2,5,6,4,1,3] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => 6
[2,5,6,4,3,1] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => 6
[2,6,1,3,4,5] => [1,2,6,5,4,3] => [2,3,1,6,5,4] => 5
[2,6,1,3,5,4] => [1,2,6,4,3,5] => [2,3,1,5,4,6] => 3
[2,6,1,4,3,5] => [1,2,6,5,3,4] => [2,3,1,6,4,5] => 4
[2,6,1,4,5,3] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[2,6,1,5,3,4] => [1,2,6,4,5,3] => [2,3,1,5,6,4] => 4
[2,6,1,5,4,3] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[2,6,3,1,4,5] => [1,2,6,5,4,3] => [2,3,1,6,5,4] => 5
[2,6,3,1,5,4] => [1,2,6,4,3,5] => [2,3,1,5,4,6] => 3
[2,6,3,4,1,5] => [1,2,6,5,3,4] => [2,3,1,6,4,5] => 4
[2,6,3,4,5,1] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[2,6,3,5,1,4] => [1,2,6,4,5,3] => [2,3,1,5,6,4] => 4
[2,6,3,5,4,1] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[2,6,4,1,3,5] => [1,2,6,5,3,4] => [2,3,1,6,4,5] => 4
[2,6,4,1,5,3] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[2,6,4,3,1,5] => [1,2,6,5,3,4] => [2,3,1,6,4,5] => 4
[2,6,4,3,5,1] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[2,6,4,5,1,3] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[2,6,4,5,3,1] => [1,2,6,3,4,5] => [2,3,1,4,5,6] => 2
[2,6,5,1,3,4] => [1,2,6,4,3,5] => [2,3,1,5,4,6] => 3
[2,6,5,1,4,3] => [1,2,6,3,5,4] => [2,3,1,4,6,5] => 3
[2,6,5,3,1,4] => [1,2,6,4,3,5] => [2,3,1,5,4,6] => 3
[2,6,5,3,4,1] => [1,2,6,3,5,4] => [2,3,1,4,6,5] => 3
[2,6,5,4,1,3] => [1,2,6,3,5,4] => [2,3,1,4,6,5] => 3
[2,6,5,4,3,1] => [1,2,6,3,5,4] => [2,3,1,4,6,5] => 3
[3,1,2,4,5,6] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,1,2,4,6,5] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,1,2,5,4,6] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,1,2,5,6,4] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,1,2,6,4,5] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => 5
[3,1,2,6,5,4] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => 5
[3,1,4,2,5,6] => [1,3,4,2,5,6] => [1,2,4,5,3,6] => 2
[3,1,4,2,6,5] => [1,3,4,2,5,6] => [1,2,4,5,3,6] => 2
[3,1,4,5,2,6] => [1,3,4,5,2,6] => [1,2,4,5,6,3] => 3
[3,1,4,5,6,2] => [1,3,4,5,6,2] => [2,4,5,6,1,3] => 7
[3,1,4,6,2,5] => [1,3,4,6,5,2] => [2,4,5,1,6,3] => 6
[3,1,4,6,5,2] => [1,3,4,6,2,5] => [2,4,5,1,3,6] => 5
[3,1,5,2,4,6] => [1,3,5,4,2,6] => [1,2,4,6,5,3] => 4
[3,1,5,2,6,4] => [1,3,5,6,4,2] => [2,4,6,1,5,3] => 7
[3,1,5,4,2,6] => [1,3,5,2,4,6] => [1,2,4,6,3,5] => 3
[3,1,5,4,6,2] => [1,3,5,6,2,4] => [2,4,6,1,3,5] => 6
[3,1,5,6,2,4] => [1,3,5,2,4,6] => [1,2,4,6,3,5] => 3
[3,1,5,6,4,2] => [1,3,5,4,6,2] => [2,4,6,5,1,3] => 8
[3,1,6,2,4,5] => [1,3,6,5,4,2] => [2,4,1,6,5,3] => 6
[3,1,6,2,5,4] => [1,3,6,4,2,5] => [2,4,1,5,3,6] => 4
[3,1,6,4,2,5] => [1,3,6,5,2,4] => [2,4,1,6,3,5] => 5
[3,1,6,4,5,2] => [1,3,6,2,4,5] => [2,4,1,3,5,6] => 3
[3,1,6,5,2,4] => [1,3,6,4,5,2] => [2,4,1,5,6,3] => 5
[3,1,6,5,4,2] => [1,3,6,2,4,5] => [2,4,1,3,5,6] => 3
[3,2,1,4,5,6] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,2,1,4,6,5] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,2,1,5,4,6] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,2,1,5,6,4] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,2,1,6,4,5] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => 5
[3,2,1,6,5,4] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => 5
[3,2,4,1,5,6] => [1,3,4,2,5,6] => [1,2,4,5,3,6] => 2
[3,2,4,1,6,5] => [1,3,4,2,5,6] => [1,2,4,5,3,6] => 2
[3,2,4,5,1,6] => [1,3,4,5,2,6] => [1,2,4,5,6,3] => 3
[3,2,4,5,6,1] => [1,3,4,5,6,2] => [2,4,5,6,1,3] => 7
[3,2,4,6,1,5] => [1,3,4,6,5,2] => [2,4,5,1,6,3] => 6
[3,2,4,6,5,1] => [1,3,4,6,2,5] => [2,4,5,1,3,6] => 5
[3,2,5,1,4,6] => [1,3,5,4,2,6] => [1,2,4,6,5,3] => 4
[3,2,5,1,6,4] => [1,3,5,6,4,2] => [2,4,6,1,5,3] => 7
[3,2,5,4,1,6] => [1,3,5,2,4,6] => [1,2,4,6,3,5] => 3
[3,2,5,4,6,1] => [1,3,5,6,2,4] => [2,4,6,1,3,5] => 6
[3,2,5,6,1,4] => [1,3,5,2,4,6] => [1,2,4,6,3,5] => 3
[3,2,5,6,4,1] => [1,3,5,4,6,2] => [2,4,6,5,1,3] => 8
[3,2,6,1,4,5] => [1,3,6,5,4,2] => [2,4,1,6,5,3] => 6
[3,2,6,1,5,4] => [1,3,6,4,2,5] => [2,4,1,5,3,6] => 4
[3,2,6,4,1,5] => [1,3,6,5,2,4] => [2,4,1,6,3,5] => 5
[3,2,6,4,5,1] => [1,3,6,2,4,5] => [2,4,1,3,5,6] => 3
[3,2,6,5,1,4] => [1,3,6,4,5,2] => [2,4,1,5,6,3] => 5
[3,2,6,5,4,1] => [1,3,6,2,4,5] => [2,4,1,3,5,6] => 3
[3,4,1,2,5,6] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,4,1,2,6,5] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,4,1,5,2,6] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,4,1,5,6,2] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,4,1,6,2,5] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => 5
[3,4,1,6,5,2] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => 5
[3,4,2,1,5,6] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,4,2,1,6,5] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,4,2,5,1,6] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,4,2,5,6,1] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => 1
[3,4,2,6,1,5] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => 5
[3,4,2,6,5,1] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => 5
[3,4,5,1,2,6] => [1,3,5,2,4,6] => [1,2,4,6,3,5] => 3
[3,4,5,1,6,2] => [1,3,5,6,2,4] => [2,4,6,1,3,5] => 6
[3,4,5,2,1,6] => [1,3,5,2,4,6] => [1,2,4,6,3,5] => 3
[3,4,5,2,6,1] => [1,3,5,6,2,4] => [2,4,6,1,3,5] => 6
[3,4,5,6,1,2] => [1,3,5,2,4,6] => [1,2,4,6,3,5] => 3
[3,4,5,6,2,1] => [1,3,5,2,4,6] => [1,2,4,6,3,5] => 3
[3,4,6,1,2,5] => [1,3,6,5,2,4] => [2,4,1,6,3,5] => 5
[3,4,6,1,5,2] => [1,3,6,2,4,5] => [2,4,1,3,5,6] => 3
[3,4,6,2,1,5] => [1,3,6,5,2,4] => [2,4,1,6,3,5] => 5
[3,4,6,2,5,1] => [1,3,6,2,4,5] => [2,4,1,3,5,6] => 3
[3,4,6,5,1,2] => [1,3,6,2,4,5] => [2,4,1,3,5,6] => 3
[3,4,6,5,2,1] => [1,3,6,2,4,5] => [2,4,1,3,5,6] => 3
[3,5,1,2,4,6] => [1,3,2,5,4,6] => [1,2,4,3,6,5] => 2
[3,5,1,2,6,4] => [1,3,2,5,6,4] => [2,4,3,6,1,5] => 6
[3,5,1,4,2,6] => [1,3,2,5,4,6] => [1,2,4,3,6,5] => 2
[3,5,1,4,6,2] => [1,3,2,5,6,4] => [2,4,3,6,1,5] => 6
[3,5,1,6,2,4] => [1,3,2,5,4,6] => [1,2,4,3,6,5] => 2
[3,5,1,6,4,2] => [1,3,2,5,4,6] => [1,2,4,3,6,5] => 2
[3,5,2,1,4,6] => [1,3,2,5,4,6] => [1,2,4,3,6,5] => 2
[3,5,2,1,6,4] => [1,3,2,5,6,4] => [2,4,3,6,1,5] => 6
[3,5,2,4,1,6] => [1,3,2,5,4,6] => [1,2,4,3,6,5] => 2
[3,5,2,4,6,1] => [1,3,2,5,6,4] => [2,4,3,6,1,5] => 6
[3,5,2,6,1,4] => [1,3,2,5,4,6] => [1,2,4,3,6,5] => 2
[3,5,2,6,4,1] => [1,3,2,5,4,6] => [1,2,4,3,6,5] => 2
[3,5,4,1,2,6] => [1,3,4,2,5,6] => [1,2,4,5,3,6] => 2
[3,5,4,1,6,2] => [1,3,4,2,5,6] => [1,2,4,5,3,6] => 2
[3,5,4,2,1,6] => [1,3,4,2,5,6] => [1,2,4,5,3,6] => 2
[3,5,4,2,6,1] => [1,3,4,2,5,6] => [1,2,4,5,3,6] => 2
[3,5,4,6,1,2] => [1,3,4,6,2,5] => [2,4,5,1,3,6] => 5
[3,5,4,6,2,1] => [1,3,4,6,2,5] => [2,4,5,1,3,6] => 5
[3,5,6,1,2,4] => [1,3,6,4,2,5] => [2,4,1,5,3,6] => 4
[3,5,6,1,4,2] => [1,3,6,2,5,4] => [2,4,1,3,6,5] => 4
[3,5,6,2,1,4] => [1,3,6,4,2,5] => [2,4,1,5,3,6] => 4
[3,5,6,2,4,1] => [1,3,6,2,5,4] => [2,4,1,3,6,5] => 4
[3,5,6,4,1,2] => [1,3,6,2,5,4] => [2,4,1,3,6,5] => 4
[3,5,6,4,2,1] => [1,3,6,2,5,4] => [2,4,1,3,6,5] => 4
[3,6,1,2,4,5] => [1,3,2,6,5,4] => [2,4,3,1,6,5] => 5
[3,6,1,2,5,4] => [1,3,2,6,4,5] => [2,4,3,1,5,6] => 4
[3,6,1,4,2,5] => [1,3,2,6,5,4] => [2,4,3,1,6,5] => 5
[3,6,1,4,5,2] => [1,3,2,6,4,5] => [2,4,3,1,5,6] => 4
[3,6,1,5,2,4] => [1,3,2,6,4,5] => [2,4,3,1,5,6] => 4
[3,6,1,5,4,2] => [1,3,2,6,4,5] => [2,4,3,1,5,6] => 4
[3,6,2,1,4,5] => [1,3,2,6,5,4] => [2,4,3,1,6,5] => 5
[3,6,2,1,5,4] => [1,3,2,6,4,5] => [2,4,3,1,5,6] => 4
[3,6,2,4,1,5] => [1,3,2,6,5,4] => [2,4,3,1,6,5] => 5
[3,6,2,4,5,1] => [1,3,2,6,4,5] => [2,4,3,1,5,6] => 4
[3,6,2,5,1,4] => [1,3,2,6,4,5] => [2,4,3,1,5,6] => 4
[3,6,2,5,4,1] => [1,3,2,6,4,5] => [2,4,3,1,5,6] => 4
[3,6,4,1,2,5] => [1,3,4,2,6,5] => [2,4,5,3,1,6] => 6
[3,6,4,1,5,2] => [1,3,4,2,6,5] => [2,4,5,3,1,6] => 6
[3,6,4,2,1,5] => [1,3,4,2,6,5] => [2,4,5,3,1,6] => 6
[3,6,4,2,5,1] => [1,3,4,2,6,5] => [2,4,5,3,1,6] => 6
[3,6,4,5,1,2] => [1,3,4,5,2,6] => [1,2,4,5,6,3] => 3
[3,6,4,5,2,1] => [1,3,4,5,2,6] => [1,2,4,5,6,3] => 3
[3,6,5,1,2,4] => [1,3,5,2,6,4] => [2,4,6,3,1,5] => 7
[3,6,5,1,4,2] => [1,3,5,4,2,6] => [1,2,4,6,5,3] => 4
[3,6,5,2,1,4] => [1,3,5,2,6,4] => [2,4,6,3,1,5] => 7
[3,6,5,2,4,1] => [1,3,5,4,2,6] => [1,2,4,6,5,3] => 4
[3,6,5,4,1,2] => [1,3,5,2,6,4] => [2,4,6,3,1,5] => 7
[3,6,5,4,2,1] => [1,3,5,2,6,4] => [2,4,6,3,1,5] => 7
[4,1,2,3,5,6] => [1,4,3,2,5,6] => [1,2,5,4,3,6] => 3
[4,1,2,3,6,5] => [1,4,3,2,5,6] => [1,2,5,4,3,6] => 3
[4,1,2,5,3,6] => [1,4,5,3,2,6] => [1,2,5,6,4,3] => 5
[4,1,2,5,6,3] => [1,4,5,6,3,2] => [2,5,6,1,4,3] => 8
[4,1,2,6,3,5] => [1,4,6,5,3,2] => [2,5,1,6,4,3] => 7
[4,1,2,6,5,3] => [1,4,6,3,2,5] => [2,5,1,4,3,6] => 5
[4,1,3,2,5,6] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,1,3,2,6,5] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,1,3,5,2,6] => [1,4,5,2,3,6] => [1,2,5,6,3,4] => 4
[4,1,3,5,6,2] => [1,4,5,6,2,3] => [2,5,6,1,3,4] => 7
[4,1,3,6,2,5] => [1,4,6,5,2,3] => [2,5,1,6,3,4] => 6
[4,1,3,6,5,2] => [1,4,6,2,3,5] => [2,5,1,3,4,6] => 4
[4,1,5,2,3,6] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,1,5,2,6,3] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,1,5,3,2,6] => [1,4,3,5,2,6] => [1,2,5,4,6,3] => 4
[4,1,5,3,6,2] => [1,4,3,5,6,2] => [2,5,4,6,1,3] => 8
[4,1,5,6,2,3] => [1,4,6,3,5,2] => [2,5,1,4,6,3] => 6
[4,1,5,6,3,2] => [1,4,6,2,3,5] => [2,5,1,3,4,6] => 4
[4,1,6,2,3,5] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => 6
[4,1,6,2,5,3] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => 6
[4,1,6,3,2,5] => [1,4,3,6,5,2] => [2,5,4,1,6,3] => 7
[4,1,6,3,5,2] => [1,4,3,6,2,5] => [2,5,4,1,3,6] => 6
[4,1,6,5,2,3] => [1,4,5,2,3,6] => [1,2,5,6,3,4] => 4
[4,1,6,5,3,2] => [1,4,5,3,6,2] => [2,5,6,4,1,3] => 9
[4,2,1,3,5,6] => [1,4,3,2,5,6] => [1,2,5,4,3,6] => 3
[4,2,1,3,6,5] => [1,4,3,2,5,6] => [1,2,5,4,3,6] => 3
[4,2,1,5,3,6] => [1,4,5,3,2,6] => [1,2,5,6,4,3] => 5
[4,2,1,5,6,3] => [1,4,5,6,3,2] => [2,5,6,1,4,3] => 8
[4,2,1,6,3,5] => [1,4,6,5,3,2] => [2,5,1,6,4,3] => 7
[4,2,1,6,5,3] => [1,4,6,3,2,5] => [2,5,1,4,3,6] => 5
[4,2,3,1,5,6] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,2,3,1,6,5] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,2,3,5,1,6] => [1,4,5,2,3,6] => [1,2,5,6,3,4] => 4
[4,2,3,5,6,1] => [1,4,5,6,2,3] => [2,5,6,1,3,4] => 7
[4,2,3,6,1,5] => [1,4,6,5,2,3] => [2,5,1,6,3,4] => 6
[4,2,3,6,5,1] => [1,4,6,2,3,5] => [2,5,1,3,4,6] => 4
[4,2,5,1,3,6] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,2,5,1,6,3] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,2,5,3,1,6] => [1,4,3,5,2,6] => [1,2,5,4,6,3] => 4
[4,2,5,3,6,1] => [1,4,3,5,6,2] => [2,5,4,6,1,3] => 8
[4,2,5,6,1,3] => [1,4,6,3,5,2] => [2,5,1,4,6,3] => 6
[4,2,5,6,3,1] => [1,4,6,2,3,5] => [2,5,1,3,4,6] => 4
[4,2,6,1,3,5] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => 6
[4,2,6,1,5,3] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => 6
[4,2,6,3,1,5] => [1,4,3,6,5,2] => [2,5,4,1,6,3] => 7
[4,2,6,3,5,1] => [1,4,3,6,2,5] => [2,5,4,1,3,6] => 6
[4,2,6,5,1,3] => [1,4,5,2,3,6] => [1,2,5,6,3,4] => 4
[4,2,6,5,3,1] => [1,4,5,3,6,2] => [2,5,6,4,1,3] => 9
[4,3,1,2,5,6] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,3,1,2,6,5] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,3,1,5,2,6] => [1,4,5,2,3,6] => [1,2,5,6,3,4] => 4
[4,3,1,5,6,2] => [1,4,5,6,2,3] => [2,5,6,1,3,4] => 7
[4,3,1,6,2,5] => [1,4,6,5,2,3] => [2,5,1,6,3,4] => 6
[4,3,1,6,5,2] => [1,4,6,2,3,5] => [2,5,1,3,4,6] => 4
[4,3,2,1,5,6] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,3,2,1,6,5] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,3,2,5,1,6] => [1,4,5,2,3,6] => [1,2,5,6,3,4] => 4
[4,3,2,5,6,1] => [1,4,5,6,2,3] => [2,5,6,1,3,4] => 7
[4,3,2,6,1,5] => [1,4,6,5,2,3] => [2,5,1,6,3,4] => 6
[4,3,2,6,5,1] => [1,4,6,2,3,5] => [2,5,1,3,4,6] => 4
[4,3,5,1,2,6] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,3,5,1,6,2] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,3,5,2,1,6] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,3,5,2,6,1] => [1,4,2,3,5,6] => [1,2,5,3,4,6] => 2
[4,3,5,6,1,2] => [1,4,6,2,3,5] => [2,5,1,3,4,6] => 4
[4,3,5,6,2,1] => [1,4,6,2,3,5] => [2,5,1,3,4,6] => 4
[4,3,6,1,2,5] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => 6
[4,3,6,1,5,2] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => 6
[4,3,6,2,1,5] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => 6
[4,3,6,2,5,1] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => 6
[4,3,6,5,1,2] => [1,4,5,2,3,6] => [1,2,5,6,3,4] => 4
[4,3,6,5,2,1] => [1,4,5,2,3,6] => [1,2,5,6,3,4] => 4
[4,5,1,2,3,6] => [1,4,2,5,3,6] => [1,2,5,3,6,4] => 3
[4,5,1,2,6,3] => [1,4,2,5,6,3] => [2,5,3,6,1,4] => 7
[4,5,1,3,2,6] => [1,4,3,2,5,6] => [1,2,5,4,3,6] => 3
[4,5,1,3,6,2] => [1,4,3,2,5,6] => [1,2,5,4,3,6] => 3
[4,5,1,6,2,3] => [1,4,6,3,2,5] => [2,5,1,4,3,6] => 5
[4,5,1,6,3,2] => [1,4,6,2,5,3] => [2,5,1,3,6,4] => 5
[4,5,2,1,3,6] => [1,4,2,5,3,6] => [1,2,5,3,6,4] => 3
[4,5,2,1,6,3] => [1,4,2,5,6,3] => [2,5,3,6,1,4] => 7
[4,5,2,3,1,6] => [1,4,3,2,5,6] => [1,2,5,4,3,6] => 3
[4,5,2,3,6,1] => [1,4,3,2,5,6] => [1,2,5,4,3,6] => 3
[4,5,2,6,1,3] => [1,4,6,3,2,5] => [2,5,1,4,3,6] => 5
[4,5,2,6,3,1] => [1,4,6,2,5,3] => [2,5,1,3,6,4] => 5
[4,5,3,1,2,6] => [1,4,2,5,3,6] => [1,2,5,3,6,4] => 3
[4,5,3,1,6,2] => [1,4,2,5,6,3] => [2,5,3,6,1,4] => 7
[4,5,3,2,1,6] => [1,4,2,5,3,6] => [1,2,5,3,6,4] => 3
[4,5,3,2,6,1] => [1,4,2,5,6,3] => [2,5,3,6,1,4] => 7
[4,5,3,6,1,2] => [1,4,6,2,5,3] => [2,5,1,3,6,4] => 5
[4,5,3,6,2,1] => [1,4,6,2,5,3] => [2,5,1,3,6,4] => 5
[4,5,6,1,2,3] => [1,4,2,5,3,6] => [1,2,5,3,6,4] => 3
[4,5,6,1,3,2] => [1,4,2,5,3,6] => [1,2,5,3,6,4] => 3
[4,5,6,2,1,3] => [1,4,2,5,3,6] => [1,2,5,3,6,4] => 3
[4,5,6,2,3,1] => [1,4,2,5,3,6] => [1,2,5,3,6,4] => 3
[4,5,6,3,1,2] => [1,4,3,6,2,5] => [2,5,4,1,3,6] => 6
[4,5,6,3,2,1] => [1,4,3,6,2,5] => [2,5,4,1,3,6] => 6
[4,6,1,2,3,5] => [1,4,2,6,5,3] => [2,5,3,1,6,4] => 6
[4,6,1,2,5,3] => [1,4,2,6,3,5] => [2,5,3,1,4,6] => 5
[4,6,1,3,2,5] => [1,4,3,2,6,5] => [2,5,4,3,1,6] => 7
[4,6,1,3,5,2] => [1,4,3,2,6,5] => [2,5,4,3,1,6] => 7
[4,6,1,5,2,3] => [1,4,5,2,6,3] => [2,5,6,3,1,4] => 8
[4,6,1,5,3,2] => [1,4,5,3,2,6] => [1,2,5,6,4,3] => 5
[4,6,2,1,3,5] => [1,4,2,6,5,3] => [2,5,3,1,6,4] => 6
[4,6,2,1,5,3] => [1,4,2,6,3,5] => [2,5,3,1,4,6] => 5
[4,6,2,3,1,5] => [1,4,3,2,6,5] => [2,5,4,3,1,6] => 7
[4,6,2,3,5,1] => [1,4,3,2,6,5] => [2,5,4,3,1,6] => 7
[4,6,2,5,1,3] => [1,4,5,2,6,3] => [2,5,6,3,1,4] => 8
[4,6,2,5,3,1] => [1,4,5,3,2,6] => [1,2,5,6,4,3] => 5
[4,6,3,1,2,5] => [1,4,2,6,5,3] => [2,5,3,1,6,4] => 6
[4,6,3,1,5,2] => [1,4,2,6,3,5] => [2,5,3,1,4,6] => 5
[4,6,3,2,1,5] => [1,4,2,6,5,3] => [2,5,3,1,6,4] => 6
[4,6,3,2,5,1] => [1,4,2,6,3,5] => [2,5,3,1,4,6] => 5
[4,6,3,5,1,2] => [1,4,5,2,6,3] => [2,5,6,3,1,4] => 8
[4,6,3,5,2,1] => [1,4,5,2,6,3] => [2,5,6,3,1,4] => 8
[4,6,5,1,2,3] => [1,4,2,6,3,5] => [2,5,3,1,4,6] => 5
[4,6,5,1,3,2] => [1,4,2,6,3,5] => [2,5,3,1,4,6] => 5
[4,6,5,2,1,3] => [1,4,2,6,3,5] => [2,5,3,1,4,6] => 5
[4,6,5,2,3,1] => [1,4,2,6,3,5] => [2,5,3,1,4,6] => 5
[4,6,5,3,1,2] => [1,4,3,5,2,6] => [1,2,5,4,6,3] => 4
[4,6,5,3,2,1] => [1,4,3,5,2,6] => [1,2,5,4,6,3] => 4
[5,1,2,3,4,6] => [1,5,4,3,2,6] => [1,2,6,5,4,3] => 6
[5,1,2,3,6,4] => [1,5,6,4,3,2] => [2,6,1,5,4,3] => 8
[5,1,2,4,3,6] => [1,5,3,2,4,6] => [1,2,6,4,3,5] => 4
[5,1,2,4,6,3] => [1,5,6,3,2,4] => [2,6,1,4,3,5] => 6
[5,1,2,6,3,4] => [1,5,3,2,4,6] => [1,2,6,4,3,5] => 4
[5,1,2,6,4,3] => [1,5,4,6,3,2] => [2,6,5,1,4,3] => 9
[5,1,3,2,4,6] => [1,5,4,2,3,6] => [1,2,6,5,3,4] => 5
[5,1,3,2,6,4] => [1,5,6,4,2,3] => [2,6,1,5,3,4] => 7
[5,1,3,4,2,6] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,1,3,4,6,2] => [1,5,6,2,3,4] => [2,6,1,3,4,5] => 5
[5,1,3,6,2,4] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,1,3,6,4,2] => [1,5,4,6,2,3] => [2,6,5,1,3,4] => 8
[5,1,4,2,3,6] => [1,5,3,4,2,6] => [1,2,6,4,5,3] => 5
[5,1,4,2,6,3] => [1,5,6,3,4,2] => [2,6,1,4,5,3] => 7
[5,1,4,3,2,6] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,1,4,3,6,2] => [1,5,6,2,3,4] => [2,6,1,3,4,5] => 5
[5,1,4,6,2,3] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,1,4,6,3,2] => [1,5,3,4,6,2] => [2,6,4,5,1,3] => 9
[5,1,6,2,3,4] => [1,5,3,6,4,2] => [2,6,4,1,5,3] => 8
[5,1,6,2,4,3] => [1,5,4,2,3,6] => [1,2,6,5,3,4] => 5
[5,1,6,3,2,4] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => 7
[5,1,6,3,4,2] => [1,5,4,3,6,2] => [2,6,5,4,1,3] => 10
[5,1,6,4,2,3] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => 7
[5,1,6,4,3,2] => [1,5,3,6,2,4] => [2,6,4,1,3,5] => 7
[5,2,1,3,4,6] => [1,5,4,3,2,6] => [1,2,6,5,4,3] => 6
[5,2,1,3,6,4] => [1,5,6,4,3,2] => [2,6,1,5,4,3] => 8
[5,2,1,4,3,6] => [1,5,3,2,4,6] => [1,2,6,4,3,5] => 4
[5,2,1,4,6,3] => [1,5,6,3,2,4] => [2,6,1,4,3,5] => 6
[5,2,1,6,3,4] => [1,5,3,2,4,6] => [1,2,6,4,3,5] => 4
[5,2,1,6,4,3] => [1,5,4,6,3,2] => [2,6,5,1,4,3] => 9
[5,2,3,1,4,6] => [1,5,4,2,3,6] => [1,2,6,5,3,4] => 5
[5,2,3,1,6,4] => [1,5,6,4,2,3] => [2,6,1,5,3,4] => 7
[5,2,3,4,1,6] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,2,3,4,6,1] => [1,5,6,2,3,4] => [2,6,1,3,4,5] => 5
[5,2,3,6,1,4] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,2,3,6,4,1] => [1,5,4,6,2,3] => [2,6,5,1,3,4] => 8
[5,2,4,1,3,6] => [1,5,3,4,2,6] => [1,2,6,4,5,3] => 5
[5,2,4,1,6,3] => [1,5,6,3,4,2] => [2,6,1,4,5,3] => 7
[5,2,4,3,1,6] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,2,4,3,6,1] => [1,5,6,2,3,4] => [2,6,1,3,4,5] => 5
[5,2,4,6,1,3] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,2,4,6,3,1] => [1,5,3,4,6,2] => [2,6,4,5,1,3] => 9
[5,2,6,1,3,4] => [1,5,3,6,4,2] => [2,6,4,1,5,3] => 8
[5,2,6,1,4,3] => [1,5,4,2,3,6] => [1,2,6,5,3,4] => 5
[5,2,6,3,1,4] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => 7
[5,2,6,3,4,1] => [1,5,4,3,6,2] => [2,6,5,4,1,3] => 10
[5,2,6,4,1,3] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => 7
[5,2,6,4,3,1] => [1,5,3,6,2,4] => [2,6,4,1,3,5] => 7
[5,3,1,2,4,6] => [1,5,4,2,3,6] => [1,2,6,5,3,4] => 5
[5,3,1,2,6,4] => [1,5,6,4,2,3] => [2,6,1,5,3,4] => 7
[5,3,1,4,2,6] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,3,1,4,6,2] => [1,5,6,2,3,4] => [2,6,1,3,4,5] => 5
[5,3,1,6,2,4] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,3,1,6,4,2] => [1,5,4,6,2,3] => [2,6,5,1,3,4] => 8
[5,3,2,1,4,6] => [1,5,4,2,3,6] => [1,2,6,5,3,4] => 5
[5,3,2,1,6,4] => [1,5,6,4,2,3] => [2,6,1,5,3,4] => 7
[5,3,2,4,1,6] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,3,2,4,6,1] => [1,5,6,2,3,4] => [2,6,1,3,4,5] => 5
[5,3,2,6,1,4] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,3,2,6,4,1] => [1,5,4,6,2,3] => [2,6,5,1,3,4] => 8
[5,3,4,1,2,6] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,3,4,1,6,2] => [1,5,6,2,3,4] => [2,6,1,3,4,5] => 5
[5,3,4,2,1,6] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,3,4,2,6,1] => [1,5,6,2,3,4] => [2,6,1,3,4,5] => 5
[5,3,4,6,1,2] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,3,4,6,2,1] => [1,5,2,3,4,6] => [1,2,6,3,4,5] => 3
[5,3,6,1,2,4] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => 7
[5,3,6,1,4,2] => [1,5,4,2,3,6] => [1,2,6,5,3,4] => 5
[5,3,6,2,1,4] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => 7
[5,3,6,2,4,1] => [1,5,4,2,3,6] => [1,2,6,5,3,4] => 5
[5,3,6,4,1,2] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => 7
[5,3,6,4,2,1] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => 7
[5,4,1,2,3,6] => [1,5,3,2,4,6] => [1,2,6,4,3,5] => 4
[5,4,1,2,6,3] => [1,5,6,3,2,4] => [2,6,1,4,3,5] => 6
[5,4,1,3,2,6] => [1,5,2,4,3,6] => [1,2,6,3,5,4] => 4
[5,4,1,3,6,2] => [1,5,6,2,4,3] => [2,6,1,3,5,4] => 6
[5,4,1,6,2,3] => [1,5,2,4,6,3] => [2,6,3,5,1,4] => 8
[5,4,1,6,3,2] => [1,5,3,2,4,6] => [1,2,6,4,3,5] => 4
[5,4,2,1,3,6] => [1,5,3,2,4,6] => [1,2,6,4,3,5] => 4
[5,4,2,1,6,3] => [1,5,6,3,2,4] => [2,6,1,4,3,5] => 6
[5,4,2,3,1,6] => [1,5,2,4,3,6] => [1,2,6,3,5,4] => 4
[5,4,2,3,6,1] => [1,5,6,2,4,3] => [2,6,1,3,5,4] => 6
[5,4,2,6,1,3] => [1,5,2,4,6,3] => [2,6,3,5,1,4] => 8
[5,4,2,6,3,1] => [1,5,3,2,4,6] => [1,2,6,4,3,5] => 4
[5,4,3,1,2,6] => [1,5,2,4,3,6] => [1,2,6,3,5,4] => 4
[5,4,3,1,6,2] => [1,5,6,2,4,3] => [2,6,1,3,5,4] => 6
[5,4,3,2,1,6] => [1,5,2,4,3,6] => [1,2,6,3,5,4] => 4
[5,4,3,2,6,1] => [1,5,6,2,4,3] => [2,6,1,3,5,4] => 6
[5,4,3,6,1,2] => [1,5,2,4,6,3] => [2,6,3,5,1,4] => 8
[5,4,3,6,2,1] => [1,5,2,4,6,3] => [2,6,3,5,1,4] => 8
[5,4,6,1,2,3] => [1,5,2,4,3,6] => [1,2,6,3,5,4] => 4
[5,4,6,1,3,2] => [1,5,3,6,2,4] => [2,6,4,1,3,5] => 7
[5,4,6,2,1,3] => [1,5,2,4,3,6] => [1,2,6,3,5,4] => 4
[5,4,6,2,3,1] => [1,5,3,6,2,4] => [2,6,4,1,3,5] => 7
[5,4,6,3,1,2] => [1,5,2,4,3,6] => [1,2,6,3,5,4] => 4
[5,4,6,3,2,1] => [1,5,2,4,3,6] => [1,2,6,3,5,4] => 4
[5,6,1,2,3,4] => [1,5,3,2,6,4] => [2,6,4,3,1,5] => 8
[5,6,1,2,4,3] => [1,5,4,2,6,3] => [2,6,5,3,1,4] => 9
[5,6,1,3,2,4] => [1,5,2,6,4,3] => [2,6,3,1,5,4] => 7
[5,6,1,3,4,2] => [1,5,4,3,2,6] => [1,2,6,5,4,3] => 6
[5,6,1,4,2,3] => [1,5,2,6,3,4] => [2,6,3,1,4,5] => 6
[5,6,1,4,3,2] => [1,5,3,2,6,4] => [2,6,4,3,1,5] => 8
[5,6,2,1,3,4] => [1,5,3,2,6,4] => [2,6,4,3,1,5] => 8
[5,6,2,1,4,3] => [1,5,4,2,6,3] => [2,6,5,3,1,4] => 9
[5,6,2,3,1,4] => [1,5,2,6,4,3] => [2,6,3,1,5,4] => 7
[5,6,2,3,4,1] => [1,5,4,3,2,6] => [1,2,6,5,4,3] => 6
[5,6,2,4,1,3] => [1,5,2,6,3,4] => [2,6,3,1,4,5] => 6
[5,6,2,4,3,1] => [1,5,3,2,6,4] => [2,6,4,3,1,5] => 8
[5,6,3,1,2,4] => [1,5,2,6,4,3] => [2,6,3,1,5,4] => 7
[5,6,3,1,4,2] => [1,5,4,2,6,3] => [2,6,5,3,1,4] => 9
[5,6,3,2,1,4] => [1,5,2,6,4,3] => [2,6,3,1,5,4] => 7
[5,6,3,2,4,1] => [1,5,4,2,6,3] => [2,6,5,3,1,4] => 9
[5,6,3,4,1,2] => [1,5,2,6,3,4] => [2,6,3,1,4,5] => 6
[5,6,3,4,2,1] => [1,5,2,6,3,4] => [2,6,3,1,4,5] => 6
[5,6,4,1,2,3] => [1,5,2,6,3,4] => [2,6,3,1,4,5] => 6
[5,6,4,1,3,2] => [1,5,3,4,2,6] => [1,2,6,4,5,3] => 5
[5,6,4,2,1,3] => [1,5,2,6,3,4] => [2,6,3,1,4,5] => 6
[5,6,4,2,3,1] => [1,5,3,4,2,6] => [1,2,6,4,5,3] => 5
[5,6,4,3,1,2] => [1,5,2,6,3,4] => [2,6,3,1,4,5] => 6
[5,6,4,3,2,1] => [1,5,2,6,3,4] => [2,6,3,1,4,5] => 6
[6,1,2,3,4,5] => [1,6,5,4,3,2] => [2,1,6,5,4,3] => 7
[6,1,2,3,5,4] => [1,6,4,3,2,5] => [2,1,5,4,3,6] => 4
[6,1,2,4,3,5] => [1,6,5,3,2,4] => [2,1,6,4,3,5] => 5
[6,1,2,4,5,3] => [1,6,3,2,4,5] => [2,1,4,3,5,6] => 2
[6,1,2,5,3,4] => [1,6,4,5,3,2] => [2,1,5,6,4,3] => 6
[6,1,2,5,4,3] => [1,6,3,2,4,5] => [2,1,4,3,5,6] => 2
[6,1,3,2,4,5] => [1,6,5,4,2,3] => [2,1,6,5,3,4] => 6
[6,1,3,2,5,4] => [1,6,4,2,3,5] => [2,1,5,3,4,6] => 3
[6,1,3,4,2,5] => [1,6,5,2,3,4] => [2,1,6,3,4,5] => 4
[6,1,3,4,5,2] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,1,3,5,2,4] => [1,6,4,5,2,3] => [2,1,5,6,3,4] => 5
[6,1,3,5,4,2] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,1,4,2,3,5] => [1,6,5,3,4,2] => [2,1,6,4,5,3] => 6
[6,1,4,2,5,3] => [1,6,3,4,2,5] => [2,1,4,5,3,6] => 3
[6,1,4,3,2,5] => [1,6,5,2,3,4] => [2,1,6,3,4,5] => 4
[6,1,4,3,5,2] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,1,4,5,2,3] => [1,6,3,4,5,2] => [2,1,4,5,6,3] => 4
[6,1,4,5,3,2] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,1,5,2,3,4] => [1,6,4,2,3,5] => [2,1,5,3,4,6] => 3
[6,1,5,2,4,3] => [1,6,3,5,4,2] => [2,1,4,6,5,3] => 5
[6,1,5,3,2,4] => [1,6,4,3,5,2] => [2,1,5,4,6,3] => 5
[6,1,5,3,4,2] => [1,6,2,3,5,4] => [2,1,3,4,6,5] => 2
[6,1,5,4,2,3] => [1,6,3,5,2,4] => [2,1,4,6,3,5] => 4
[6,1,5,4,3,2] => [1,6,2,3,5,4] => [2,1,3,4,6,5] => 2
[6,2,1,3,4,5] => [1,6,5,4,3,2] => [2,1,6,5,4,3] => 7
[6,2,1,3,5,4] => [1,6,4,3,2,5] => [2,1,5,4,3,6] => 4
[6,2,1,4,3,5] => [1,6,5,3,2,4] => [2,1,6,4,3,5] => 5
[6,2,1,4,5,3] => [1,6,3,2,4,5] => [2,1,4,3,5,6] => 2
[6,2,1,5,3,4] => [1,6,4,5,3,2] => [2,1,5,6,4,3] => 6
[6,2,1,5,4,3] => [1,6,3,2,4,5] => [2,1,4,3,5,6] => 2
[6,2,3,1,4,5] => [1,6,5,4,2,3] => [2,1,6,5,3,4] => 6
[6,2,3,1,5,4] => [1,6,4,2,3,5] => [2,1,5,3,4,6] => 3
[6,2,3,4,1,5] => [1,6,5,2,3,4] => [2,1,6,3,4,5] => 4
[6,2,3,4,5,1] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,2,3,5,1,4] => [1,6,4,5,2,3] => [2,1,5,6,3,4] => 5
[6,2,3,5,4,1] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,2,4,1,3,5] => [1,6,5,3,4,2] => [2,1,6,4,5,3] => 6
[6,2,4,1,5,3] => [1,6,3,4,2,5] => [2,1,4,5,3,6] => 3
[6,2,4,3,1,5] => [1,6,5,2,3,4] => [2,1,6,3,4,5] => 4
[6,2,4,3,5,1] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,2,4,5,1,3] => [1,6,3,4,5,2] => [2,1,4,5,6,3] => 4
[6,2,4,5,3,1] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,2,5,1,3,4] => [1,6,4,2,3,5] => [2,1,5,3,4,6] => 3
[6,2,5,1,4,3] => [1,6,3,5,4,2] => [2,1,4,6,5,3] => 5
[6,2,5,3,1,4] => [1,6,4,3,5,2] => [2,1,5,4,6,3] => 5
[6,2,5,3,4,1] => [1,6,2,3,5,4] => [2,1,3,4,6,5] => 2
[6,2,5,4,1,3] => [1,6,3,5,2,4] => [2,1,4,6,3,5] => 4
[6,2,5,4,3,1] => [1,6,2,3,5,4] => [2,1,3,4,6,5] => 2
[6,3,1,2,4,5] => [1,6,5,4,2,3] => [2,1,6,5,3,4] => 6
[6,3,1,2,5,4] => [1,6,4,2,3,5] => [2,1,5,3,4,6] => 3
[6,3,1,4,2,5] => [1,6,5,2,3,4] => [2,1,6,3,4,5] => 4
[6,3,1,4,5,2] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,3,1,5,2,4] => [1,6,4,5,2,3] => [2,1,5,6,3,4] => 5
[6,3,1,5,4,2] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,3,2,1,4,5] => [1,6,5,4,2,3] => [2,1,6,5,3,4] => 6
[6,3,2,1,5,4] => [1,6,4,2,3,5] => [2,1,5,3,4,6] => 3
[6,3,2,4,1,5] => [1,6,5,2,3,4] => [2,1,6,3,4,5] => 4
[6,3,2,4,5,1] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,3,2,5,1,4] => [1,6,4,5,2,3] => [2,1,5,6,3,4] => 5
[6,3,2,5,4,1] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,3,4,1,2,5] => [1,6,5,2,3,4] => [2,1,6,3,4,5] => 4
[6,3,4,1,5,2] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,3,4,2,1,5] => [1,6,5,2,3,4] => [2,1,6,3,4,5] => 4
[6,3,4,2,5,1] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,3,4,5,1,2] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,3,4,5,2,1] => [1,6,2,3,4,5] => [2,1,3,4,5,6] => 1
[6,3,5,1,2,4] => [1,6,4,2,3,5] => [2,1,5,3,4,6] => 3
[6,3,5,1,4,2] => [1,6,2,3,5,4] => [2,1,3,4,6,5] => 2
[6,3,5,2,1,4] => [1,6,4,2,3,5] => [2,1,5,3,4,6] => 3
[6,3,5,2,4,1] => [1,6,2,3,5,4] => [2,1,3,4,6,5] => 2
[6,3,5,4,1,2] => [1,6,2,3,5,4] => [2,1,3,4,6,5] => 2
[6,3,5,4,2,1] => [1,6,2,3,5,4] => [2,1,3,4,6,5] => 2
[6,4,1,2,3,5] => [1,6,5,3,2,4] => [2,1,6,4,3,5] => 5
[6,4,1,2,5,3] => [1,6,3,2,4,5] => [2,1,4,3,5,6] => 2
[6,4,1,3,2,5] => [1,6,5,2,4,3] => [2,1,6,3,5,4] => 5
[6,4,1,3,5,2] => [1,6,2,4,3,5] => [2,1,3,5,4,6] => 2
[6,4,1,5,2,3] => [1,6,3,2,4,5] => [2,1,4,3,5,6] => 2
[6,4,1,5,3,2] => [1,6,2,4,5,3] => [2,1,3,5,6,4] => 3
[6,4,2,1,3,5] => [1,6,5,3,2,4] => [2,1,6,4,3,5] => 5
[6,4,2,1,5,3] => [1,6,3,2,4,5] => [2,1,4,3,5,6] => 2
[6,4,2,3,1,5] => [1,6,5,2,4,3] => [2,1,6,3,5,4] => 5
[6,4,2,3,5,1] => [1,6,2,4,3,5] => [2,1,3,5,4,6] => 2
[6,4,2,5,1,3] => [1,6,3,2,4,5] => [2,1,4,3,5,6] => 2
[6,4,2,5,3,1] => [1,6,2,4,5,3] => [2,1,3,5,6,4] => 3
[6,4,3,1,2,5] => [1,6,5,2,4,3] => [2,1,6,3,5,4] => 5
[6,4,3,1,5,2] => [1,6,2,4,3,5] => [2,1,3,5,4,6] => 2
[6,4,3,2,1,5] => [1,6,5,2,4,3] => [2,1,6,3,5,4] => 5
[6,4,3,2,5,1] => [1,6,2,4,3,5] => [2,1,3,5,4,6] => 2
[6,4,3,5,1,2] => [1,6,2,4,5,3] => [2,1,3,5,6,4] => 3
[6,4,3,5,2,1] => [1,6,2,4,5,3] => [2,1,3,5,6,4] => 3
[6,4,5,1,2,3] => [1,6,3,5,2,4] => [2,1,4,6,3,5] => 4
[6,4,5,1,3,2] => [1,6,2,4,3,5] => [2,1,3,5,4,6] => 2
[6,4,5,2,1,3] => [1,6,3,5,2,4] => [2,1,4,6,3,5] => 4
[6,4,5,2,3,1] => [1,6,2,4,3,5] => [2,1,3,5,4,6] => 2
[6,4,5,3,1,2] => [1,6,2,4,3,5] => [2,1,3,5,4,6] => 2
[6,4,5,3,2,1] => [1,6,2,4,3,5] => [2,1,3,5,4,6] => 2
[6,5,1,2,3,4] => [1,6,4,2,5,3] => [2,1,5,3,6,4] => 4
[6,5,1,2,4,3] => [1,6,3,2,5,4] => [2,1,4,3,6,5] => 3
[6,5,1,3,2,4] => [1,6,4,3,2,5] => [2,1,5,4,3,6] => 4
[6,5,1,3,4,2] => [1,6,2,5,4,3] => [2,1,3,6,5,4] => 4
[6,5,1,4,2,3] => [1,6,3,2,5,4] => [2,1,4,3,6,5] => 3
[6,5,1,4,3,2] => [1,6,2,5,3,4] => [2,1,3,6,4,5] => 3
[6,5,2,1,3,4] => [1,6,4,2,5,3] => [2,1,5,3,6,4] => 4
[6,5,2,1,4,3] => [1,6,3,2,5,4] => [2,1,4,3,6,5] => 3
[6,5,2,3,1,4] => [1,6,4,3,2,5] => [2,1,5,4,3,6] => 4
[6,5,2,3,4,1] => [1,6,2,5,4,3] => [2,1,3,6,5,4] => 4
[6,5,2,4,1,3] => [1,6,3,2,5,4] => [2,1,4,3,6,5] => 3
[6,5,2,4,3,1] => [1,6,2,5,3,4] => [2,1,3,6,4,5] => 3
[6,5,3,1,2,4] => [1,6,4,2,5,3] => [2,1,5,3,6,4] => 4
[6,5,3,1,4,2] => [1,6,2,5,4,3] => [2,1,3,6,5,4] => 4
[6,5,3,2,1,4] => [1,6,4,2,5,3] => [2,1,5,3,6,4] => 4
[6,5,3,2,4,1] => [1,6,2,5,4,3] => [2,1,3,6,5,4] => 4
[6,5,3,4,1,2] => [1,6,2,5,3,4] => [2,1,3,6,4,5] => 3
[6,5,3,4,2,1] => [1,6,2,5,3,4] => [2,1,3,6,4,5] => 3
[6,5,4,1,2,3] => [1,6,3,4,2,5] => [2,1,4,5,3,6] => 3
[6,5,4,1,3,2] => [1,6,2,5,3,4] => [2,1,3,6,4,5] => 3
[6,5,4,2,1,3] => [1,6,3,4,2,5] => [2,1,4,5,3,6] => 3
[6,5,4,2,3,1] => [1,6,2,5,3,4] => [2,1,3,6,4,5] => 3
[6,5,4,3,1,2] => [1,6,2,5,3,4] => [2,1,3,6,4,5] => 3
[6,5,4,3,2,1] => [1,6,2,5,3,4] => [2,1,3,6,4,5] => 3
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,5,7,4,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,2,3,6,4,7,5] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[1,2,3,6,5,4,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,2,3,6,5,7,4] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[1,2,3,6,7,4,5] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,2,3,6,7,5,4] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[1,2,3,7,4,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,2,3,7,5,4,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[1,2,3,7,5,6,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,2,3,7,6,4,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,2,3,7,6,5,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,4,3,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,2,4,3,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,4,5,3,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,4,5,6,3,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,4,5,7,3,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,2,4,5,7,6,3] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,2,4,6,3,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,2,4,6,3,7,5] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[1,2,4,6,5,3,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,2,4,6,5,7,3] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[1,2,4,6,7,3,5] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,2,4,6,7,5,3] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,2,4,7,3,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[1,2,4,7,3,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,2,4,7,5,3,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[1,2,4,7,5,6,3] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,2,4,7,6,3,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,2,4,7,6,5,3] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,2,5,3,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,2,5,3,6,7,4] => [1,2,3,5,6,7,4] => [2,3,4,6,7,1,5] => 7
[1,2,5,3,7,4,6] => [1,2,3,5,7,6,4] => [2,3,4,6,1,7,5] => 6
[1,2,5,4,3,6,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,2,5,4,3,7,6] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,2,5,4,6,7,3] => [1,2,3,5,6,7,4] => [2,3,4,6,7,1,5] => 7
[1,2,5,4,7,3,6] => [1,2,3,5,7,6,4] => [2,3,4,6,1,7,5] => 6
[1,2,5,6,3,4,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,2,5,6,3,7,4] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,2,5,6,4,3,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,2,5,6,4,7,3] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,2,6,3,5,7,4] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[1,2,6,4,5,7,3] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[1,2,6,5,3,7,4] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[1,2,6,5,4,7,3] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[1,2,7,3,5,6,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,2,7,3,6,5,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,2,7,4,5,6,3] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,2,7,4,6,5,3] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,2,7,5,3,6,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,2,7,5,4,6,3] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,2,7,5,6,3,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,2,7,5,6,4,3] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,2,7,6,3,5,4] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[1,2,7,6,4,5,3] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[1,2,7,6,5,3,4] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[1,2,7,6,5,4,3] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,4,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,3,2,4,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,5,6,4,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,5,6,7,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,5,7,4,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,3,2,5,7,6,4] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,3,2,6,4,7,5] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[1,3,2,6,5,4,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,3,2,6,5,7,4] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[1,3,2,6,7,4,5] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,3,2,6,7,5,4] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[1,3,2,7,4,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,3,2,7,5,4,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[1,3,2,7,5,6,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,3,2,7,6,4,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,3,2,7,6,5,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,4,2,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,4,2,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,4,2,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,4,2,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,3,4,2,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,3,4,5,2,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,4,5,2,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,4,5,6,2,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,4,5,7,2,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,3,4,5,7,6,2] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[1,3,4,6,2,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,3,4,6,2,7,5] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[1,3,4,6,5,2,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,3,4,6,5,7,2] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[1,3,4,6,7,2,5] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,3,4,6,7,5,2] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[1,3,4,7,2,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[1,3,4,7,2,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,3,4,7,5,2,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[1,3,4,7,5,6,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,3,4,7,6,2,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,3,4,7,6,5,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[1,3,5,2,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,3,5,2,4,7,6] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,3,5,2,6,7,4] => [1,2,3,5,6,7,4] => [2,3,4,6,7,1,5] => 7
[1,3,5,2,7,4,6] => [1,2,3,5,7,6,4] => [2,3,4,6,1,7,5] => 6
[1,3,5,4,2,6,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,3,5,4,2,7,6] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,3,5,4,6,7,2] => [1,2,3,5,6,7,4] => [2,3,4,6,7,1,5] => 7
[1,3,5,4,7,2,6] => [1,2,3,5,7,6,4] => [2,3,4,6,1,7,5] => 6
[1,3,5,6,2,4,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,3,5,6,2,7,4] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,3,5,6,4,2,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,3,5,6,4,7,2] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[1,3,6,2,5,7,4] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[1,3,6,4,5,7,2] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[1,3,6,5,2,7,4] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[1,3,6,5,4,7,2] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[1,3,7,2,5,6,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,3,7,2,6,5,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,3,7,4,5,6,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,3,7,4,6,5,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,3,7,5,2,6,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,3,7,5,4,6,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,3,7,5,6,2,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,3,7,5,6,4,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[1,3,7,6,2,5,4] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[1,3,7,6,4,5,2] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[1,3,7,6,5,2,4] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[1,3,7,6,5,4,2] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[1,4,2,5,6,7,3] => [1,2,4,5,6,7,3] => [2,3,5,6,7,1,4] => 8
[1,4,3,5,6,7,2] => [1,2,4,5,6,7,3] => [2,3,5,6,7,1,4] => 8
[1,5,6,2,3,4,7] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[1,5,6,3,2,4,7] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[1,5,6,4,2,3,7] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[1,5,6,4,3,2,7] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[1,5,6,7,2,3,4] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[1,5,6,7,2,4,3] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[1,5,6,7,3,2,4] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[1,5,6,7,3,4,2] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[1,7,2,4,5,6,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[1,7,2,4,6,5,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[1,7,2,5,4,6,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[1,7,2,5,6,4,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[1,7,3,4,5,6,2] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[1,7,3,4,6,5,2] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[1,7,3,5,4,6,2] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[1,7,3,5,6,4,2] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[1,7,4,2,5,6,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[1,7,4,2,6,5,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[1,7,4,3,5,6,2] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[1,7,4,3,6,5,2] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[1,7,4,5,2,6,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[1,7,4,5,3,6,2] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[1,7,4,5,6,2,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[1,7,4,5,6,3,2] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,3,4,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,1,3,4,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,1,3,5,4,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,3,5,6,4,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,3,5,6,7,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,3,5,7,4,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,1,3,5,7,6,4] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,1,3,6,4,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,1,3,6,4,7,5] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[2,1,3,6,5,4,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,1,3,6,5,7,4] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[2,1,3,6,7,4,5] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,1,3,6,7,5,4] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[2,1,3,7,4,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,1,3,7,5,4,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[2,1,3,7,5,6,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,1,3,7,6,4,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,1,3,7,6,5,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,1,4,3,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,1,4,5,3,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,5,3,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,5,6,3,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,5,6,7,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,5,7,3,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,1,4,5,7,6,3] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,1,4,6,3,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,1,4,6,3,7,5] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[2,1,4,6,5,3,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,1,4,6,5,7,3] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[2,1,4,6,7,3,5] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,1,4,6,7,5,3] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,1,4,7,3,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[2,1,4,7,3,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,1,4,7,5,3,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[2,1,4,7,5,6,3] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,1,4,7,6,3,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,1,4,7,6,5,3] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,1,5,3,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,1,5,3,4,7,6] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,1,5,3,6,7,4] => [1,2,3,5,6,7,4] => [2,3,4,6,7,1,5] => 7
[2,1,5,3,7,4,6] => [1,2,3,5,7,6,4] => [2,3,4,6,1,7,5] => 6
[2,1,5,4,3,6,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,1,5,4,3,7,6] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,1,5,4,6,7,3] => [1,2,3,5,6,7,4] => [2,3,4,6,7,1,5] => 7
[2,1,5,4,7,3,6] => [1,2,3,5,7,6,4] => [2,3,4,6,1,7,5] => 6
[2,1,5,6,3,4,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,1,5,6,3,7,4] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,1,5,6,4,3,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,1,5,6,4,7,3] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,1,6,3,5,7,4] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[2,1,6,4,5,7,3] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[2,1,6,5,3,7,4] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[2,1,6,5,4,7,3] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[2,1,7,3,5,6,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,1,7,3,6,5,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,1,7,4,5,6,3] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,1,7,4,6,5,3] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,1,7,5,3,6,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,1,7,5,4,6,3] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,1,7,5,6,3,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,1,7,5,6,4,3] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,1,7,6,3,5,4] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[2,1,7,6,4,5,3] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[2,1,7,6,5,3,4] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[2,1,7,6,5,4,3] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[2,3,1,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,1,4,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,1,4,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,1,4,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,1,4,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,3,1,4,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,3,1,5,4,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,1,5,4,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,1,5,6,4,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,1,5,6,7,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,1,5,7,4,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,3,1,5,7,6,4] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,3,1,6,4,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,3,1,6,4,7,5] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[2,3,1,6,5,4,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,3,1,6,5,7,4] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[2,3,1,6,7,4,5] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,3,1,6,7,5,4] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,3,1,7,4,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[2,3,1,7,4,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,3,1,7,5,4,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[2,3,1,7,5,6,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,3,1,7,6,4,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,3,1,7,6,5,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,5,1,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,5,7,1,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 5
[2,3,4,6,1,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,3,4,6,1,7,5] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[2,3,4,6,5,1,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,3,4,6,5,7,1] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 6
[2,3,4,6,7,1,5] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,3,4,6,7,5,1] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => 1
[2,3,4,7,1,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[2,3,4,7,1,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,3,4,7,5,1,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => 5
[2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,3,4,7,6,1,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,6,7] => 4
[2,3,5,1,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,3,5,1,4,7,6] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,3,5,1,6,7,4] => [1,2,3,5,6,7,4] => [2,3,4,6,7,1,5] => 7
[2,3,5,1,7,4,6] => [1,2,3,5,7,6,4] => [2,3,4,6,1,7,5] => 6
[2,3,5,4,1,6,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,3,5,4,1,7,6] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,3,5,4,6,7,1] => [1,2,3,5,6,7,4] => [2,3,4,6,7,1,5] => 7
[2,3,5,4,7,1,6] => [1,2,3,5,7,6,4] => [2,3,4,6,1,7,5] => 6
[2,3,5,6,1,4,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,3,5,6,1,7,4] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,3,5,6,4,1,7] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,3,5,6,4,7,1] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => 1
[2,3,6,1,5,7,4] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[2,3,6,4,5,7,1] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[2,3,6,5,1,7,4] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[2,3,6,5,4,7,1] => [1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => 6
[2,3,7,1,5,6,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,3,7,1,6,5,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,3,7,4,6,5,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,3,7,5,1,6,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,3,7,5,4,6,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,3,7,5,6,1,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,6,7] => 3
[2,3,7,6,1,5,4] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[2,3,7,6,4,5,1] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[2,3,7,6,5,1,4] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[2,3,7,6,5,4,1] => [1,2,3,7,4,6,5] => [2,3,4,1,5,7,6] => 4
[2,4,1,5,6,7,3] => [1,2,4,5,6,7,3] => [2,3,5,6,7,1,4] => 8
[2,4,3,5,6,7,1] => [1,2,4,5,6,7,3] => [2,3,5,6,7,1,4] => 8
[2,5,6,1,3,4,7] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[2,5,6,3,1,4,7] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[2,5,6,4,1,3,7] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[2,5,6,4,3,1,7] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[2,5,6,7,1,3,4] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[2,5,6,7,1,4,3] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[2,5,6,7,3,1,4] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[2,5,6,7,3,4,1] => [1,2,5,3,6,4,7] => [1,2,3,6,4,7,5] => 3
[2,7,1,4,5,6,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,7,1,4,6,5,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,7,1,5,4,6,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,7,1,5,6,4,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,7,3,4,6,5,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,7,3,5,4,6,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,7,3,5,6,4,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,7,4,1,5,6,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,7,4,1,6,5,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,7,4,3,5,6,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,7,4,3,6,5,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,7,4,5,1,6,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,7,4,5,3,6,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,7,4,5,6,1,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,6,7] => 2
[3,1,7,4,5,6,2] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[3,1,7,4,6,5,2] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[3,1,7,5,4,6,2] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[3,1,7,5,6,4,2] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[3,2,7,4,5,6,1] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[3,2,7,4,6,5,1] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[3,2,7,5,4,6,1] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[3,2,7,5,6,4,1] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[3,4,7,1,5,6,2] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[3,4,7,1,6,5,2] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[3,4,7,2,5,6,1] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[3,4,7,2,6,5,1] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[3,4,7,5,1,6,2] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[3,4,7,5,2,6,1] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[3,4,7,5,6,1,2] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[3,4,7,5,6,2,1] => [1,3,7,2,4,5,6] => [2,4,1,3,5,6,7] => 3
[4,1,3,6,5,7,2] => [1,4,6,7,2,3,5] => [2,5,7,1,3,4,6] => 8
[4,1,3,7,5,6,2] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[4,1,3,7,6,5,2] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[4,1,5,6,3,7,2] => [1,4,6,7,2,3,5] => [2,5,7,1,3,4,6] => 8
[4,1,5,7,3,6,2] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[4,1,5,7,6,3,2] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[4,2,3,6,5,7,1] => [1,4,6,7,2,3,5] => [2,5,7,1,3,4,6] => 8
[4,2,3,7,5,6,1] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[4,2,3,7,6,5,1] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[4,2,5,6,3,7,1] => [1,4,6,7,2,3,5] => [2,5,7,1,3,4,6] => 8
[4,2,5,7,3,6,1] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[4,2,5,7,6,3,1] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[4,3,1,6,5,7,2] => [1,4,6,7,2,3,5] => [2,5,7,1,3,4,6] => 8
[4,3,1,7,5,6,2] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[4,3,1,7,6,5,2] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[4,3,2,6,5,7,1] => [1,4,6,7,2,3,5] => [2,5,7,1,3,4,6] => 8
[4,3,2,7,5,6,1] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[4,3,2,7,6,5,1] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[4,3,5,6,1,7,2] => [1,4,6,7,2,3,5] => [2,5,7,1,3,4,6] => 8
[4,3,5,6,2,7,1] => [1,4,6,7,2,3,5] => [2,5,7,1,3,4,6] => 8
[4,3,5,7,1,6,2] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[4,3,5,7,2,6,1] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[4,3,5,7,6,1,2] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[4,3,5,7,6,2,1] => [1,4,7,2,3,5,6] => [2,5,1,3,4,6,7] => 4
[5,1,3,4,6,7,2] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => 9
[5,1,3,4,7,2,6] => [1,5,7,6,2,3,4] => [2,6,1,7,3,4,5] => 8
[5,1,3,4,7,6,2] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,1,3,6,7,4,2] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,1,4,3,6,7,2] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => 9
[5,1,4,3,7,2,6] => [1,5,7,6,2,3,4] => [2,6,1,7,3,4,5] => 8
[5,1,4,3,7,6,2] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,1,4,6,7,3,2] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,1,6,3,2,4,7] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,1,6,4,2,3,7] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,1,6,7,2,3,4] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,1,6,7,2,4,3] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,2,3,4,6,7,1] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => 9
[5,2,3,4,7,1,6] => [1,5,7,6,2,3,4] => [2,6,1,7,3,4,5] => 8
[5,2,3,4,7,6,1] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,2,3,6,7,4,1] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,2,4,3,6,7,1] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => 9
[5,2,4,3,7,1,6] => [1,5,7,6,2,3,4] => [2,6,1,7,3,4,5] => 8
[5,2,4,3,7,6,1] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,2,4,6,7,3,1] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,2,6,3,1,4,7] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,2,6,4,1,3,7] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,2,6,7,1,3,4] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,2,6,7,1,4,3] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,3,1,4,6,7,2] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => 9
[5,3,1,4,7,2,6] => [1,5,7,6,2,3,4] => [2,6,1,7,3,4,5] => 8
[5,3,1,4,7,6,2] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,3,1,6,7,4,2] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,3,2,4,6,7,1] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => 9
[5,3,2,4,7,1,6] => [1,5,7,6,2,3,4] => [2,6,1,7,3,4,5] => 8
[5,3,2,4,7,6,1] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,3,2,6,7,4,1] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,3,4,1,6,7,2] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => 9
[5,3,4,1,7,2,6] => [1,5,7,6,2,3,4] => [2,6,1,7,3,4,5] => 8
[5,3,4,1,7,6,2] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,3,4,2,6,7,1] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => 9
[5,3,4,2,7,1,6] => [1,5,7,6,2,3,4] => [2,6,1,7,3,4,5] => 8
[5,3,4,2,7,6,1] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,3,4,6,7,1,2] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,3,4,6,7,2,1] => [1,5,7,2,3,4,6] => [2,6,1,3,4,5,7] => 5
[5,3,6,1,2,4,7] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,3,6,2,1,4,7] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,3,6,4,1,2,7] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,3,6,4,2,1,7] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,3,6,7,1,2,4] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,3,6,7,1,4,2] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,3,6,7,2,1,4] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,3,6,7,2,4,1] => [1,5,2,3,6,4,7] => [1,2,6,3,4,7,5] => 4
[5,7,1,3,4,2,6] => [1,5,4,3,2,7,6] => [2,6,5,4,3,1,7] => 11
[5,7,1,3,4,6,2] => [1,5,4,3,2,7,6] => [2,6,5,4,3,1,7] => 11
[5,7,2,3,4,1,6] => [1,5,4,3,2,7,6] => [2,6,5,4,3,1,7] => 11
[5,7,2,3,4,6,1] => [1,5,4,3,2,7,6] => [2,6,5,4,3,1,7] => 11
[6,1,3,4,5,7,2] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[6,1,3,5,4,7,2] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[6,1,4,3,5,7,2] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[6,1,4,5,3,7,2] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[6,2,3,4,5,7,1] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[6,2,3,5,4,7,1] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[6,2,4,3,5,7,1] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[6,2,4,5,3,7,1] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[6,3,1,4,5,7,2] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[6,3,1,5,4,7,2] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[6,3,2,4,5,7,1] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[6,3,2,5,4,7,1] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[6,3,4,1,5,7,2] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[6,3,4,2,5,7,1] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[6,3,4,5,1,7,2] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[6,3,4,5,2,7,1] => [1,6,7,2,3,4,5] => [2,7,1,3,4,5,6] => 6
[7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => [2,1,7,6,5,4,3] => 11
[7,1,3,4,2,6,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,1,3,4,5,2,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,1,3,4,5,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,1,3,4,6,5,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,1,3,5,4,2,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,1,3,5,4,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,1,3,5,6,4,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,1,3,6,2,4,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,1,4,3,2,6,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,1,4,3,5,2,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,1,4,3,5,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,1,4,3,6,5,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,1,4,5,3,2,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,1,4,5,3,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,1,4,5,6,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,1,4,6,2,3,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,1,6,3,5,4,2] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,1,6,4,5,3,2] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,1,6,5,3,4,2] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,1,6,5,4,3,2] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,2,1,3,4,5,6] => [1,7,6,5,4,3,2] => [2,1,7,6,5,4,3] => 11
[7,2,3,4,1,6,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,2,3,4,5,1,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,2,3,4,5,6,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,2,3,4,6,5,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,2,3,5,4,1,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,2,3,5,4,6,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,2,3,5,6,4,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,2,3,6,1,4,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,2,4,3,1,6,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,2,4,3,5,1,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,2,4,3,5,6,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,2,4,3,6,5,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,2,4,5,3,1,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,2,4,5,3,6,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,2,4,5,6,3,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,2,4,6,1,3,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,2,6,3,5,4,1] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,2,6,4,5,3,1] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,2,6,5,3,4,1] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,2,6,5,4,3,1] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,3,1,4,2,6,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,3,1,4,5,2,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,3,1,4,5,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,1,4,6,5,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,1,5,4,2,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,3,1,5,4,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,1,5,6,4,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,1,6,2,4,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,3,2,4,1,6,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,3,2,4,5,1,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,3,2,4,5,6,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,2,4,6,5,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,2,5,4,1,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,3,2,5,4,6,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,2,5,6,4,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,2,6,1,4,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,3,4,1,2,6,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,3,4,1,5,2,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,3,4,1,5,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,4,1,6,5,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,4,2,1,6,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,3,4,2,5,1,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,3,4,2,5,6,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,4,2,6,5,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,4,5,1,2,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,3,4,5,1,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,4,5,2,1,6] => [1,7,6,2,3,4,5] => [2,1,7,3,4,5,6] => 5
[7,3,4,5,2,6,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,4,5,6,1,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,4,5,6,2,1] => [1,7,2,3,4,5,6] => [2,1,3,4,5,6,7] => 1
[7,3,4,6,1,2,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,3,4,6,2,1,5] => [1,7,5,2,3,4,6] => [2,1,6,3,4,5,7] => 4
[7,3,6,1,5,4,2] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,3,6,2,5,4,1] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,3,6,4,5,1,2] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,3,6,4,5,2,1] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,3,6,5,1,4,2] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,3,6,5,2,4,1] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,3,6,5,4,1,2] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,3,6,5,4,2,1] => [1,7,2,3,6,4,5] => [2,1,3,4,7,5,6] => 3
[7,6,1,4,5,3,2] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
[7,6,1,5,4,3,2] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
[7,6,2,4,5,3,1] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
[7,6,2,5,4,3,1] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
[7,6,3,4,5,1,2] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
[7,6,3,4,5,2,1] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
[7,6,3,5,4,1,2] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
[7,6,3,5,4,2,1] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
[7,6,4,1,5,3,2] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
[7,6,4,2,5,3,1] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
[7,6,4,3,5,1,2] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
[7,6,4,3,5,2,1] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
[7,6,4,5,1,3,2] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
[7,6,4,5,2,3,1] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
[7,6,4,5,3,1,2] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
[7,6,4,5,3,2,1] => [1,7,2,6,3,4,5] => [2,1,3,7,4,5,6] => 4
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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:
4,2 8,8,6,2 16,24,28,26,16,8,2 32,64,96,120,126,110,82,52,26,10,2
$F_{1} = 1$
$F_{2} = 2$
$F_{3} = 4 + 2\ q$
$F_{4} = 8 + 8\ q + 6\ q^{2} + 2\ q^{3}$
$F_{5} = 16 + 24\ q + 28\ q^{2} + 26\ q^{3} + 16\ q^{4} + 8\ q^{5} + 2\ q^{6}$
$F_{6} = 32 + 64\ q + 96\ q^{2} + 120\ q^{3} + 126\ q^{4} + 110\ q^{5} + 82\ q^{6} + 52\ q^{7} + 26\ q^{8} + 10\ q^{9} + 2\ q^{10}$
Description
The number of inversions of a permutation.
This equals the minimal number of simple transpositions $(i,i+1)$ needed to write $\pi$. Thus, it is also the Coxeter length of $\pi$.
This equals the minimal number of simple transpositions $(i,i+1)$ needed to write $\pi$. Thus, it is also the Coxeter length of $\pi$.
Map
Tanimoto
Description
Add 1 to every entry of the permutation (n becomes 1 instead of n+1), except that when n appears at the front or the back of the permutation, instead remove it and place 1 at the other end of the permutation.
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
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