Identifier
-
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
St000110: Permutations ⟶ ℤ
Values
[1] => [1] => 1
[1,2] => [1,2] => 1
[2,1] => [1,2] => 1
[1,2,3] => [1,2,3] => 1
[1,3,2] => [1,2,3] => 1
[2,1,3] => [1,2,3] => 1
[2,3,1] => [1,2,3] => 1
[3,1,2] => [1,3,2] => 2
[3,2,1] => [1,3,2] => 2
[1,2,3,4] => [1,2,3,4] => 1
[1,2,4,3] => [1,2,3,4] => 1
[1,3,2,4] => [1,2,3,4] => 1
[1,3,4,2] => [1,2,3,4] => 1
[1,4,2,3] => [1,2,4,3] => 2
[1,4,3,2] => [1,2,4,3] => 2
[2,1,3,4] => [1,2,3,4] => 1
[2,1,4,3] => [1,2,3,4] => 1
[2,3,1,4] => [1,2,3,4] => 1
[2,3,4,1] => [1,2,3,4] => 1
[2,4,1,3] => [1,2,4,3] => 2
[2,4,3,1] => [1,2,4,3] => 2
[3,1,2,4] => [1,3,2,4] => 2
[3,1,4,2] => [1,3,4,2] => 3
[3,2,1,4] => [1,3,2,4] => 2
[3,2,4,1] => [1,3,4,2] => 3
[3,4,1,2] => [1,3,2,4] => 2
[3,4,2,1] => [1,3,2,4] => 2
[4,1,2,3] => [1,4,3,2] => 6
[4,1,3,2] => [1,4,2,3] => 3
[4,2,1,3] => [1,4,3,2] => 6
[4,2,3,1] => [1,4,2,3] => 3
[4,3,1,2] => [1,4,2,3] => 3
[4,3,2,1] => [1,4,2,3] => 3
[1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,3,5,4] => [1,2,3,4,5] => 1
[1,2,4,3,5] => [1,2,3,4,5] => 1
[1,2,4,5,3] => [1,2,3,4,5] => 1
[1,2,5,3,4] => [1,2,3,5,4] => 2
[1,2,5,4,3] => [1,2,3,5,4] => 2
[1,3,2,4,5] => [1,2,3,4,5] => 1
[1,3,2,5,4] => [1,2,3,4,5] => 1
[1,3,4,2,5] => [1,2,3,4,5] => 1
[1,3,4,5,2] => [1,2,3,4,5] => 1
[1,3,5,2,4] => [1,2,3,5,4] => 2
[1,3,5,4,2] => [1,2,3,5,4] => 2
[1,4,2,3,5] => [1,2,4,3,5] => 2
[1,4,2,5,3] => [1,2,4,5,3] => 3
[1,4,3,2,5] => [1,2,4,3,5] => 2
[1,4,3,5,2] => [1,2,4,5,3] => 3
[1,4,5,2,3] => [1,2,4,3,5] => 2
[1,4,5,3,2] => [1,2,4,3,5] => 2
[1,5,2,3,4] => [1,2,5,4,3] => 6
[1,5,2,4,3] => [1,2,5,3,4] => 3
[1,5,3,2,4] => [1,2,5,4,3] => 6
[1,5,3,4,2] => [1,2,5,3,4] => 3
[1,5,4,2,3] => [1,2,5,3,4] => 3
[1,5,4,3,2] => [1,2,5,3,4] => 3
[2,1,3,4,5] => [1,2,3,4,5] => 1
[2,1,3,5,4] => [1,2,3,4,5] => 1
[2,1,4,3,5] => [1,2,3,4,5] => 1
[2,1,4,5,3] => [1,2,3,4,5] => 1
[2,1,5,3,4] => [1,2,3,5,4] => 2
[2,1,5,4,3] => [1,2,3,5,4] => 2
[2,3,1,4,5] => [1,2,3,4,5] => 1
[2,3,1,5,4] => [1,2,3,4,5] => 1
[2,3,4,1,5] => [1,2,3,4,5] => 1
[2,3,4,5,1] => [1,2,3,4,5] => 1
[2,3,5,1,4] => [1,2,3,5,4] => 2
[2,3,5,4,1] => [1,2,3,5,4] => 2
[2,4,1,3,5] => [1,2,4,3,5] => 2
[2,4,1,5,3] => [1,2,4,5,3] => 3
[2,4,3,1,5] => [1,2,4,3,5] => 2
[2,4,3,5,1] => [1,2,4,5,3] => 3
[2,4,5,1,3] => [1,2,4,3,5] => 2
[2,4,5,3,1] => [1,2,4,3,5] => 2
[2,5,1,3,4] => [1,2,5,4,3] => 6
[2,5,1,4,3] => [1,2,5,3,4] => 3
[2,5,3,1,4] => [1,2,5,4,3] => 6
[2,5,3,4,1] => [1,2,5,3,4] => 3
[2,5,4,1,3] => [1,2,5,3,4] => 3
[2,5,4,3,1] => [1,2,5,3,4] => 3
[3,1,2,4,5] => [1,3,2,4,5] => 2
[3,1,2,5,4] => [1,3,2,4,5] => 2
[3,1,4,2,5] => [1,3,4,2,5] => 3
[3,1,4,5,2] => [1,3,4,5,2] => 4
[3,1,5,2,4] => [1,3,5,4,2] => 8
[3,1,5,4,2] => [1,3,5,2,4] => 5
[3,2,1,4,5] => [1,3,2,4,5] => 2
[3,2,1,5,4] => [1,3,2,4,5] => 2
[3,2,4,1,5] => [1,3,4,2,5] => 3
[3,2,4,5,1] => [1,3,4,5,2] => 4
[3,2,5,1,4] => [1,3,5,4,2] => 8
[3,2,5,4,1] => [1,3,5,2,4] => 5
[3,4,1,2,5] => [1,3,2,4,5] => 2
[3,4,1,5,2] => [1,3,2,4,5] => 2
[3,4,2,1,5] => [1,3,2,4,5] => 2
[3,4,2,5,1] => [1,3,2,4,5] => 2
[3,4,5,1,2] => [1,3,5,2,4] => 5
[3,4,5,2,1] => [1,3,5,2,4] => 5
[3,5,1,2,4] => [1,3,2,5,4] => 4
[3,5,1,4,2] => [1,3,2,5,4] => 4
>>> Load all 1453 entries. <<<[3,5,2,1,4] => [1,3,2,5,4] => 4
[3,5,2,4,1] => [1,3,2,5,4] => 4
[3,5,4,1,2] => [1,3,4,2,5] => 3
[3,5,4,2,1] => [1,3,4,2,5] => 3
[4,1,2,3,5] => [1,4,3,2,5] => 6
[4,1,2,5,3] => [1,4,5,3,2] => 12
[4,1,3,2,5] => [1,4,2,3,5] => 3
[4,1,3,5,2] => [1,4,5,2,3] => 6
[4,1,5,2,3] => [1,4,2,3,5] => 3
[4,1,5,3,2] => [1,4,3,5,2] => 8
[4,2,1,3,5] => [1,4,3,2,5] => 6
[4,2,1,5,3] => [1,4,5,3,2] => 12
[4,2,3,1,5] => [1,4,2,3,5] => 3
[4,2,3,5,1] => [1,4,5,2,3] => 6
[4,2,5,1,3] => [1,4,2,3,5] => 3
[4,2,5,3,1] => [1,4,3,5,2] => 8
[4,3,1,2,5] => [1,4,2,3,5] => 3
[4,3,1,5,2] => [1,4,5,2,3] => 6
[4,3,2,1,5] => [1,4,2,3,5] => 3
[4,3,2,5,1] => [1,4,5,2,3] => 6
[4,3,5,1,2] => [1,4,2,3,5] => 3
[4,3,5,2,1] => [1,4,2,3,5] => 3
[4,5,1,2,3] => [1,4,2,5,3] => 5
[4,5,1,3,2] => [1,4,3,2,5] => 6
[4,5,2,1,3] => [1,4,2,5,3] => 5
[4,5,2,3,1] => [1,4,3,2,5] => 6
[4,5,3,1,2] => [1,4,2,5,3] => 5
[4,5,3,2,1] => [1,4,2,5,3] => 5
[5,1,2,3,4] => [1,5,4,3,2] => 24
[5,1,2,4,3] => [1,5,3,2,4] => 8
[5,1,3,2,4] => [1,5,4,2,3] => 12
[5,1,3,4,2] => [1,5,2,3,4] => 4
[5,1,4,2,3] => [1,5,3,4,2] => 12
[5,1,4,3,2] => [1,5,2,3,4] => 4
[5,2,1,3,4] => [1,5,4,3,2] => 24
[5,2,1,4,3] => [1,5,3,2,4] => 8
[5,2,3,1,4] => [1,5,4,2,3] => 12
[5,2,3,4,1] => [1,5,2,3,4] => 4
[5,2,4,1,3] => [1,5,3,4,2] => 12
[5,2,4,3,1] => [1,5,2,3,4] => 4
[5,3,1,2,4] => [1,5,4,2,3] => 12
[5,3,1,4,2] => [1,5,2,3,4] => 4
[5,3,2,1,4] => [1,5,4,2,3] => 12
[5,3,2,4,1] => [1,5,2,3,4] => 4
[5,3,4,1,2] => [1,5,2,3,4] => 4
[5,3,4,2,1] => [1,5,2,3,4] => 4
[5,4,1,2,3] => [1,5,3,2,4] => 8
[5,4,1,3,2] => [1,5,2,4,3] => 8
[5,4,2,1,3] => [1,5,3,2,4] => 8
[5,4,2,3,1] => [1,5,2,4,3] => 8
[5,4,3,1,2] => [1,5,2,4,3] => 8
[5,4,3,2,1] => [1,5,2,4,3] => 8
[1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,2,3,4,6,5] => [1,2,3,4,5,6] => 1
[1,2,3,5,4,6] => [1,2,3,4,5,6] => 1
[1,2,3,5,6,4] => [1,2,3,4,5,6] => 1
[1,2,3,6,4,5] => [1,2,3,4,6,5] => 2
[1,2,3,6,5,4] => [1,2,3,4,6,5] => 2
[1,2,4,3,5,6] => [1,2,3,4,5,6] => 1
[1,2,4,3,6,5] => [1,2,3,4,5,6] => 1
[1,2,4,5,3,6] => [1,2,3,4,5,6] => 1
[1,2,4,5,6,3] => [1,2,3,4,5,6] => 1
[1,2,4,6,3,5] => [1,2,3,4,6,5] => 2
[1,2,4,6,5,3] => [1,2,3,4,6,5] => 2
[1,2,5,3,4,6] => [1,2,3,5,4,6] => 2
[1,2,5,3,6,4] => [1,2,3,5,6,4] => 3
[1,2,5,4,3,6] => [1,2,3,5,4,6] => 2
[1,2,5,4,6,3] => [1,2,3,5,6,4] => 3
[1,2,5,6,3,4] => [1,2,3,5,4,6] => 2
[1,2,5,6,4,3] => [1,2,3,5,4,6] => 2
[1,2,6,3,4,5] => [1,2,3,6,5,4] => 6
[1,2,6,3,5,4] => [1,2,3,6,4,5] => 3
[1,2,6,4,3,5] => [1,2,3,6,5,4] => 6
[1,2,6,4,5,3] => [1,2,3,6,4,5] => 3
[1,2,6,5,3,4] => [1,2,3,6,4,5] => 3
[1,2,6,5,4,3] => [1,2,3,6,4,5] => 3
[1,3,2,4,5,6] => [1,2,3,4,5,6] => 1
[1,3,2,4,6,5] => [1,2,3,4,5,6] => 1
[1,3,2,5,4,6] => [1,2,3,4,5,6] => 1
[1,3,2,5,6,4] => [1,2,3,4,5,6] => 1
[1,3,2,6,4,5] => [1,2,3,4,6,5] => 2
[1,3,2,6,5,4] => [1,2,3,4,6,5] => 2
[1,3,4,2,5,6] => [1,2,3,4,5,6] => 1
[1,3,4,2,6,5] => [1,2,3,4,5,6] => 1
[1,3,4,5,2,6] => [1,2,3,4,5,6] => 1
[1,3,4,5,6,2] => [1,2,3,4,5,6] => 1
[1,3,4,6,2,5] => [1,2,3,4,6,5] => 2
[1,3,4,6,5,2] => [1,2,3,4,6,5] => 2
[1,3,5,2,4,6] => [1,2,3,5,4,6] => 2
[1,3,5,2,6,4] => [1,2,3,5,6,4] => 3
[1,3,5,4,2,6] => [1,2,3,5,4,6] => 2
[1,3,5,4,6,2] => [1,2,3,5,6,4] => 3
[1,3,5,6,2,4] => [1,2,3,5,4,6] => 2
[1,3,5,6,4,2] => [1,2,3,5,4,6] => 2
[1,3,6,2,4,5] => [1,2,3,6,5,4] => 6
[1,3,6,2,5,4] => [1,2,3,6,4,5] => 3
[1,3,6,4,2,5] => [1,2,3,6,5,4] => 6
[1,3,6,4,5,2] => [1,2,3,6,4,5] => 3
[1,3,6,5,2,4] => [1,2,3,6,4,5] => 3
[1,3,6,5,4,2] => [1,2,3,6,4,5] => 3
[1,4,2,3,5,6] => [1,2,4,3,5,6] => 2
[1,4,2,3,6,5] => [1,2,4,3,5,6] => 2
[1,4,2,5,3,6] => [1,2,4,5,3,6] => 3
[1,4,2,5,6,3] => [1,2,4,5,6,3] => 4
[1,4,2,6,3,5] => [1,2,4,6,5,3] => 8
[1,4,2,6,5,3] => [1,2,4,6,3,5] => 5
[1,4,3,2,5,6] => [1,2,4,3,5,6] => 2
[1,4,3,2,6,5] => [1,2,4,3,5,6] => 2
[1,4,3,5,2,6] => [1,2,4,5,3,6] => 3
[1,4,3,5,6,2] => [1,2,4,5,6,3] => 4
[1,4,3,6,2,5] => [1,2,4,6,5,3] => 8
[1,4,3,6,5,2] => [1,2,4,6,3,5] => 5
[1,4,5,2,3,6] => [1,2,4,3,5,6] => 2
[1,4,5,2,6,3] => [1,2,4,3,5,6] => 2
[1,4,5,3,2,6] => [1,2,4,3,5,6] => 2
[1,4,5,3,6,2] => [1,2,4,3,5,6] => 2
[1,4,5,6,2,3] => [1,2,4,6,3,5] => 5
[1,4,5,6,3,2] => [1,2,4,6,3,5] => 5
[1,4,6,2,3,5] => [1,2,4,3,6,5] => 4
[1,4,6,2,5,3] => [1,2,4,3,6,5] => 4
[1,4,6,3,2,5] => [1,2,4,3,6,5] => 4
[1,4,6,3,5,2] => [1,2,4,3,6,5] => 4
[1,4,6,5,2,3] => [1,2,4,5,3,6] => 3
[1,4,6,5,3,2] => [1,2,4,5,3,6] => 3
[1,5,2,3,4,6] => [1,2,5,4,3,6] => 6
[1,5,2,3,6,4] => [1,2,5,6,4,3] => 12
[1,5,2,4,3,6] => [1,2,5,3,4,6] => 3
[1,5,2,4,6,3] => [1,2,5,6,3,4] => 6
[1,5,2,6,3,4] => [1,2,5,3,4,6] => 3
[1,5,2,6,4,3] => [1,2,5,4,6,3] => 8
[1,5,3,2,4,6] => [1,2,5,4,3,6] => 6
[1,5,3,2,6,4] => [1,2,5,6,4,3] => 12
[1,5,3,4,2,6] => [1,2,5,3,4,6] => 3
[1,5,3,4,6,2] => [1,2,5,6,3,4] => 6
[1,5,3,6,2,4] => [1,2,5,3,4,6] => 3
[1,5,3,6,4,2] => [1,2,5,4,6,3] => 8
[1,5,4,2,3,6] => [1,2,5,3,4,6] => 3
[1,5,4,2,6,3] => [1,2,5,6,3,4] => 6
[1,5,4,3,2,6] => [1,2,5,3,4,6] => 3
[1,5,4,3,6,2] => [1,2,5,6,3,4] => 6
[1,5,4,6,2,3] => [1,2,5,3,4,6] => 3
[1,5,4,6,3,2] => [1,2,5,3,4,6] => 3
[1,5,6,2,3,4] => [1,2,5,3,6,4] => 5
[1,5,6,2,4,3] => [1,2,5,4,3,6] => 6
[1,5,6,3,2,4] => [1,2,5,3,6,4] => 5
[1,5,6,3,4,2] => [1,2,5,4,3,6] => 6
[1,5,6,4,2,3] => [1,2,5,3,6,4] => 5
[1,5,6,4,3,2] => [1,2,5,3,6,4] => 5
[1,6,2,3,4,5] => [1,2,6,5,4,3] => 24
[1,6,2,3,5,4] => [1,2,6,4,3,5] => 8
[1,6,2,4,3,5] => [1,2,6,5,3,4] => 12
[1,6,2,4,5,3] => [1,2,6,3,4,5] => 4
[1,6,2,5,3,4] => [1,2,6,4,5,3] => 12
[1,6,2,5,4,3] => [1,2,6,3,4,5] => 4
[1,6,3,2,4,5] => [1,2,6,5,4,3] => 24
[1,6,3,2,5,4] => [1,2,6,4,3,5] => 8
[1,6,3,4,2,5] => [1,2,6,5,3,4] => 12
[1,6,3,4,5,2] => [1,2,6,3,4,5] => 4
[1,6,3,5,2,4] => [1,2,6,4,5,3] => 12
[1,6,3,5,4,2] => [1,2,6,3,4,5] => 4
[1,6,4,2,3,5] => [1,2,6,5,3,4] => 12
[1,6,4,2,5,3] => [1,2,6,3,4,5] => 4
[1,6,4,3,2,5] => [1,2,6,5,3,4] => 12
[1,6,4,3,5,2] => [1,2,6,3,4,5] => 4
[1,6,4,5,2,3] => [1,2,6,3,4,5] => 4
[1,6,4,5,3,2] => [1,2,6,3,4,5] => 4
[1,6,5,2,3,4] => [1,2,6,4,3,5] => 8
[1,6,5,2,4,3] => [1,2,6,3,5,4] => 8
[1,6,5,3,2,4] => [1,2,6,4,3,5] => 8
[1,6,5,3,4,2] => [1,2,6,3,5,4] => 8
[1,6,5,4,2,3] => [1,2,6,3,5,4] => 8
[1,6,5,4,3,2] => [1,2,6,3,5,4] => 8
[2,1,3,4,5,6] => [1,2,3,4,5,6] => 1
[2,1,3,4,6,5] => [1,2,3,4,5,6] => 1
[2,1,3,5,4,6] => [1,2,3,4,5,6] => 1
[2,1,3,5,6,4] => [1,2,3,4,5,6] => 1
[2,1,3,6,4,5] => [1,2,3,4,6,5] => 2
[2,1,3,6,5,4] => [1,2,3,4,6,5] => 2
[2,1,4,3,5,6] => [1,2,3,4,5,6] => 1
[2,1,4,3,6,5] => [1,2,3,4,5,6] => 1
[2,1,4,5,3,6] => [1,2,3,4,5,6] => 1
[2,1,4,5,6,3] => [1,2,3,4,5,6] => 1
[2,1,4,6,3,5] => [1,2,3,4,6,5] => 2
[2,1,4,6,5,3] => [1,2,3,4,6,5] => 2
[2,1,5,3,4,6] => [1,2,3,5,4,6] => 2
[2,1,5,3,6,4] => [1,2,3,5,6,4] => 3
[2,1,5,4,3,6] => [1,2,3,5,4,6] => 2
[2,1,5,4,6,3] => [1,2,3,5,6,4] => 3
[2,1,5,6,3,4] => [1,2,3,5,4,6] => 2
[2,1,5,6,4,3] => [1,2,3,5,4,6] => 2
[2,1,6,3,4,5] => [1,2,3,6,5,4] => 6
[2,1,6,3,5,4] => [1,2,3,6,4,5] => 3
[2,1,6,4,3,5] => [1,2,3,6,5,4] => 6
[2,1,6,4,5,3] => [1,2,3,6,4,5] => 3
[2,1,6,5,3,4] => [1,2,3,6,4,5] => 3
[2,1,6,5,4,3] => [1,2,3,6,4,5] => 3
[2,3,1,4,5,6] => [1,2,3,4,5,6] => 1
[2,3,1,4,6,5] => [1,2,3,4,5,6] => 1
[2,3,1,5,4,6] => [1,2,3,4,5,6] => 1
[2,3,1,5,6,4] => [1,2,3,4,5,6] => 1
[2,3,1,6,4,5] => [1,2,3,4,6,5] => 2
[2,3,1,6,5,4] => [1,2,3,4,6,5] => 2
[2,3,4,1,5,6] => [1,2,3,4,5,6] => 1
[2,3,4,1,6,5] => [1,2,3,4,5,6] => 1
[2,3,4,5,1,6] => [1,2,3,4,5,6] => 1
[2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,3,4,6,1,5] => [1,2,3,4,6,5] => 2
[2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[2,3,5,1,4,6] => [1,2,3,5,4,6] => 2
[2,3,5,1,6,4] => [1,2,3,5,6,4] => 3
[2,3,5,4,1,6] => [1,2,3,5,4,6] => 2
[2,3,5,4,6,1] => [1,2,3,5,6,4] => 3
[2,3,5,6,1,4] => [1,2,3,5,4,6] => 2
[2,3,5,6,4,1] => [1,2,3,5,4,6] => 2
[2,3,6,1,4,5] => [1,2,3,6,5,4] => 6
[2,3,6,1,5,4] => [1,2,3,6,4,5] => 3
[2,3,6,4,1,5] => [1,2,3,6,5,4] => 6
[2,3,6,4,5,1] => [1,2,3,6,4,5] => 3
[2,3,6,5,1,4] => [1,2,3,6,4,5] => 3
[2,3,6,5,4,1] => [1,2,3,6,4,5] => 3
[2,4,1,3,5,6] => [1,2,4,3,5,6] => 2
[2,4,1,3,6,5] => [1,2,4,3,5,6] => 2
[2,4,1,5,3,6] => [1,2,4,5,3,6] => 3
[2,4,1,5,6,3] => [1,2,4,5,6,3] => 4
[2,4,1,6,3,5] => [1,2,4,6,5,3] => 8
[2,4,1,6,5,3] => [1,2,4,6,3,5] => 5
[2,4,3,1,5,6] => [1,2,4,3,5,6] => 2
[2,4,3,1,6,5] => [1,2,4,3,5,6] => 2
[2,4,3,5,1,6] => [1,2,4,5,3,6] => 3
[2,4,3,5,6,1] => [1,2,4,5,6,3] => 4
[2,4,3,6,1,5] => [1,2,4,6,5,3] => 8
[2,4,3,6,5,1] => [1,2,4,6,3,5] => 5
[2,4,5,1,3,6] => [1,2,4,3,5,6] => 2
[2,4,5,1,6,3] => [1,2,4,3,5,6] => 2
[2,4,5,3,1,6] => [1,2,4,3,5,6] => 2
[2,4,5,3,6,1] => [1,2,4,3,5,6] => 2
[2,4,5,6,1,3] => [1,2,4,6,3,5] => 5
[2,4,5,6,3,1] => [1,2,4,6,3,5] => 5
[2,4,6,1,3,5] => [1,2,4,3,6,5] => 4
[2,4,6,1,5,3] => [1,2,4,3,6,5] => 4
[2,4,6,3,1,5] => [1,2,4,3,6,5] => 4
[2,4,6,3,5,1] => [1,2,4,3,6,5] => 4
[2,4,6,5,1,3] => [1,2,4,5,3,6] => 3
[2,4,6,5,3,1] => [1,2,4,5,3,6] => 3
[2,5,1,3,4,6] => [1,2,5,4,3,6] => 6
[2,5,1,3,6,4] => [1,2,5,6,4,3] => 12
[2,5,1,4,3,6] => [1,2,5,3,4,6] => 3
[2,5,1,4,6,3] => [1,2,5,6,3,4] => 6
[2,5,1,6,3,4] => [1,2,5,3,4,6] => 3
[2,5,1,6,4,3] => [1,2,5,4,6,3] => 8
[2,5,3,1,4,6] => [1,2,5,4,3,6] => 6
[2,5,3,1,6,4] => [1,2,5,6,4,3] => 12
[2,5,3,4,1,6] => [1,2,5,3,4,6] => 3
[2,5,3,4,6,1] => [1,2,5,6,3,4] => 6
[2,5,3,6,1,4] => [1,2,5,3,4,6] => 3
[2,5,3,6,4,1] => [1,2,5,4,6,3] => 8
[2,5,4,1,3,6] => [1,2,5,3,4,6] => 3
[2,5,4,1,6,3] => [1,2,5,6,3,4] => 6
[2,5,4,3,1,6] => [1,2,5,3,4,6] => 3
[2,5,4,3,6,1] => [1,2,5,6,3,4] => 6
[2,5,4,6,1,3] => [1,2,5,3,4,6] => 3
[2,5,4,6,3,1] => [1,2,5,3,4,6] => 3
[2,5,6,1,3,4] => [1,2,5,3,6,4] => 5
[2,5,6,1,4,3] => [1,2,5,4,3,6] => 6
[2,5,6,3,1,4] => [1,2,5,3,6,4] => 5
[2,5,6,3,4,1] => [1,2,5,4,3,6] => 6
[2,5,6,4,1,3] => [1,2,5,3,6,4] => 5
[2,5,6,4,3,1] => [1,2,5,3,6,4] => 5
[2,6,1,3,4,5] => [1,2,6,5,4,3] => 24
[2,6,1,3,5,4] => [1,2,6,4,3,5] => 8
[2,6,1,4,3,5] => [1,2,6,5,3,4] => 12
[2,6,1,4,5,3] => [1,2,6,3,4,5] => 4
[2,6,1,5,3,4] => [1,2,6,4,5,3] => 12
[2,6,1,5,4,3] => [1,2,6,3,4,5] => 4
[2,6,3,1,4,5] => [1,2,6,5,4,3] => 24
[2,6,3,1,5,4] => [1,2,6,4,3,5] => 8
[2,6,3,4,1,5] => [1,2,6,5,3,4] => 12
[2,6,3,4,5,1] => [1,2,6,3,4,5] => 4
[2,6,3,5,1,4] => [1,2,6,4,5,3] => 12
[2,6,3,5,4,1] => [1,2,6,3,4,5] => 4
[2,6,4,1,3,5] => [1,2,6,5,3,4] => 12
[2,6,4,1,5,3] => [1,2,6,3,4,5] => 4
[2,6,4,3,1,5] => [1,2,6,5,3,4] => 12
[2,6,4,3,5,1] => [1,2,6,3,4,5] => 4
[2,6,4,5,1,3] => [1,2,6,3,4,5] => 4
[2,6,4,5,3,1] => [1,2,6,3,4,5] => 4
[2,6,5,1,3,4] => [1,2,6,4,3,5] => 8
[2,6,5,1,4,3] => [1,2,6,3,5,4] => 8
[2,6,5,3,1,4] => [1,2,6,4,3,5] => 8
[2,6,5,3,4,1] => [1,2,6,3,5,4] => 8
[2,6,5,4,1,3] => [1,2,6,3,5,4] => 8
[2,6,5,4,3,1] => [1,2,6,3,5,4] => 8
[3,1,2,4,5,6] => [1,3,2,4,5,6] => 2
[3,1,2,4,6,5] => [1,3,2,4,5,6] => 2
[3,1,2,5,4,6] => [1,3,2,4,5,6] => 2
[3,1,2,5,6,4] => [1,3,2,4,5,6] => 2
[3,1,2,6,4,5] => [1,3,2,4,6,5] => 4
[3,1,2,6,5,4] => [1,3,2,4,6,5] => 4
[3,1,4,2,5,6] => [1,3,4,2,5,6] => 3
[3,1,4,2,6,5] => [1,3,4,2,5,6] => 3
[3,1,4,5,2,6] => [1,3,4,5,2,6] => 4
[3,1,4,5,6,2] => [1,3,4,5,6,2] => 5
[3,1,4,6,2,5] => [1,3,4,6,5,2] => 10
[3,1,4,6,5,2] => [1,3,4,6,2,5] => 7
[3,1,5,2,4,6] => [1,3,5,4,2,6] => 8
[3,1,5,2,6,4] => [1,3,5,6,4,2] => 15
[3,1,5,4,2,6] => [1,3,5,2,4,6] => 5
[3,1,5,4,6,2] => [1,3,5,6,2,4] => 9
[3,1,5,6,2,4] => [1,3,5,2,4,6] => 5
[3,1,5,6,4,2] => [1,3,5,4,6,2] => 10
[3,1,6,2,4,5] => [1,3,6,5,4,2] => 30
[3,1,6,2,5,4] => [1,3,6,4,2,5] => 11
[3,1,6,4,2,5] => [1,3,6,5,2,4] => 18
[3,1,6,4,5,2] => [1,3,6,2,4,5] => 7
[3,1,6,5,2,4] => [1,3,6,4,5,2] => 15
[3,1,6,5,4,2] => [1,3,6,2,4,5] => 7
[3,2,1,4,5,6] => [1,3,2,4,5,6] => 2
[3,2,1,4,6,5] => [1,3,2,4,5,6] => 2
[3,2,1,5,4,6] => [1,3,2,4,5,6] => 2
[3,2,1,5,6,4] => [1,3,2,4,5,6] => 2
[3,2,1,6,4,5] => [1,3,2,4,6,5] => 4
[3,2,1,6,5,4] => [1,3,2,4,6,5] => 4
[3,2,4,1,5,6] => [1,3,4,2,5,6] => 3
[3,2,4,1,6,5] => [1,3,4,2,5,6] => 3
[3,2,4,5,1,6] => [1,3,4,5,2,6] => 4
[3,2,4,5,6,1] => [1,3,4,5,6,2] => 5
[3,2,4,6,1,5] => [1,3,4,6,5,2] => 10
[3,2,4,6,5,1] => [1,3,4,6,2,5] => 7
[3,2,5,1,4,6] => [1,3,5,4,2,6] => 8
[3,2,5,1,6,4] => [1,3,5,6,4,2] => 15
[3,2,5,4,1,6] => [1,3,5,2,4,6] => 5
[3,2,5,4,6,1] => [1,3,5,6,2,4] => 9
[3,2,5,6,1,4] => [1,3,5,2,4,6] => 5
[3,2,5,6,4,1] => [1,3,5,4,6,2] => 10
[3,2,6,1,4,5] => [1,3,6,5,4,2] => 30
[3,2,6,1,5,4] => [1,3,6,4,2,5] => 11
[3,2,6,4,1,5] => [1,3,6,5,2,4] => 18
[3,2,6,4,5,1] => [1,3,6,2,4,5] => 7
[3,2,6,5,1,4] => [1,3,6,4,5,2] => 15
[3,2,6,5,4,1] => [1,3,6,2,4,5] => 7
[3,4,1,2,5,6] => [1,3,2,4,5,6] => 2
[3,4,1,2,6,5] => [1,3,2,4,5,6] => 2
[3,4,1,5,2,6] => [1,3,2,4,5,6] => 2
[3,4,1,5,6,2] => [1,3,2,4,5,6] => 2
[3,4,1,6,2,5] => [1,3,2,4,6,5] => 4
[3,4,1,6,5,2] => [1,3,2,4,6,5] => 4
[3,4,2,1,5,6] => [1,3,2,4,5,6] => 2
[3,4,2,1,6,5] => [1,3,2,4,5,6] => 2
[3,4,2,5,1,6] => [1,3,2,4,5,6] => 2
[3,4,2,5,6,1] => [1,3,2,4,5,6] => 2
[3,4,2,6,1,5] => [1,3,2,4,6,5] => 4
[3,4,2,6,5,1] => [1,3,2,4,6,5] => 4
[3,4,5,1,2,6] => [1,3,5,2,4,6] => 5
[3,4,5,1,6,2] => [1,3,5,6,2,4] => 9
[3,4,5,2,1,6] => [1,3,5,2,4,6] => 5
[3,4,5,2,6,1] => [1,3,5,6,2,4] => 9
[3,4,5,6,1,2] => [1,3,5,2,4,6] => 5
[3,4,5,6,2,1] => [1,3,5,2,4,6] => 5
[3,4,6,1,2,5] => [1,3,6,5,2,4] => 18
[3,4,6,1,5,2] => [1,3,6,2,4,5] => 7
[3,4,6,2,1,5] => [1,3,6,5,2,4] => 18
[3,4,6,2,5,1] => [1,3,6,2,4,5] => 7
[3,4,6,5,1,2] => [1,3,6,2,4,5] => 7
[3,4,6,5,2,1] => [1,3,6,2,4,5] => 7
[3,5,1,2,4,6] => [1,3,2,5,4,6] => 4
[3,5,1,2,6,4] => [1,3,2,5,6,4] => 6
[3,5,1,4,2,6] => [1,3,2,5,4,6] => 4
[3,5,1,4,6,2] => [1,3,2,5,6,4] => 6
[3,5,1,6,2,4] => [1,3,2,5,4,6] => 4
[3,5,1,6,4,2] => [1,3,2,5,4,6] => 4
[3,5,2,1,4,6] => [1,3,2,5,4,6] => 4
[3,5,2,1,6,4] => [1,3,2,5,6,4] => 6
[3,5,2,4,1,6] => [1,3,2,5,4,6] => 4
[3,5,2,4,6,1] => [1,3,2,5,6,4] => 6
[3,5,2,6,1,4] => [1,3,2,5,4,6] => 4
[3,5,2,6,4,1] => [1,3,2,5,4,6] => 4
[3,5,4,1,2,6] => [1,3,4,2,5,6] => 3
[3,5,4,1,6,2] => [1,3,4,2,5,6] => 3
[3,5,4,2,1,6] => [1,3,4,2,5,6] => 3
[3,5,4,2,6,1] => [1,3,4,2,5,6] => 3
[3,5,4,6,1,2] => [1,3,4,6,2,5] => 7
[3,5,4,6,2,1] => [1,3,4,6,2,5] => 7
[3,5,6,1,2,4] => [1,3,6,4,2,5] => 11
[3,5,6,1,4,2] => [1,3,6,2,5,4] => 14
[3,5,6,2,1,4] => [1,3,6,4,2,5] => 11
[3,5,6,2,4,1] => [1,3,6,2,5,4] => 14
[3,5,6,4,1,2] => [1,3,6,2,5,4] => 14
[3,5,6,4,2,1] => [1,3,6,2,5,4] => 14
[3,6,1,2,4,5] => [1,3,2,6,5,4] => 12
[3,6,1,2,5,4] => [1,3,2,6,4,5] => 6
[3,6,1,4,2,5] => [1,3,2,6,5,4] => 12
[3,6,1,4,5,2] => [1,3,2,6,4,5] => 6
[3,6,1,5,2,4] => [1,3,2,6,4,5] => 6
[3,6,1,5,4,2] => [1,3,2,6,4,5] => 6
[3,6,2,1,4,5] => [1,3,2,6,5,4] => 12
[3,6,2,1,5,4] => [1,3,2,6,4,5] => 6
[3,6,2,4,1,5] => [1,3,2,6,5,4] => 12
[3,6,2,4,5,1] => [1,3,2,6,4,5] => 6
[3,6,2,5,1,4] => [1,3,2,6,4,5] => 6
[3,6,2,5,4,1] => [1,3,2,6,4,5] => 6
[3,6,4,1,2,5] => [1,3,4,2,6,5] => 6
[3,6,4,1,5,2] => [1,3,4,2,6,5] => 6
[3,6,4,2,1,5] => [1,3,4,2,6,5] => 6
[3,6,4,2,5,1] => [1,3,4,2,6,5] => 6
[3,6,4,5,1,2] => [1,3,4,5,2,6] => 4
[3,6,4,5,2,1] => [1,3,4,5,2,6] => 4
[3,6,5,1,2,4] => [1,3,5,2,6,4] => 8
[3,6,5,1,4,2] => [1,3,5,4,2,6] => 8
[3,6,5,2,1,4] => [1,3,5,2,6,4] => 8
[3,6,5,2,4,1] => [1,3,5,4,2,6] => 8
[3,6,5,4,1,2] => [1,3,5,2,6,4] => 8
[3,6,5,4,2,1] => [1,3,5,2,6,4] => 8
[4,1,2,3,5,6] => [1,4,3,2,5,6] => 6
[4,1,2,3,6,5] => [1,4,3,2,5,6] => 6
[4,1,2,5,3,6] => [1,4,5,3,2,6] => 12
[4,1,2,5,6,3] => [1,4,5,6,3,2] => 20
[4,1,2,6,3,5] => [1,4,6,5,3,2] => 40
[4,1,2,6,5,3] => [1,4,6,3,2,5] => 18
[4,1,3,2,5,6] => [1,4,2,3,5,6] => 3
[4,1,3,2,6,5] => [1,4,2,3,5,6] => 3
[4,1,3,5,2,6] => [1,4,5,2,3,6] => 6
[4,1,3,5,6,2] => [1,4,5,6,2,3] => 10
[4,1,3,6,2,5] => [1,4,6,5,2,3] => 20
[4,1,3,6,5,2] => [1,4,6,2,3,5] => 9
[4,1,5,2,3,6] => [1,4,2,3,5,6] => 3
[4,1,5,2,6,3] => [1,4,2,3,5,6] => 3
[4,1,5,3,2,6] => [1,4,3,5,2,6] => 8
[4,1,5,3,6,2] => [1,4,3,5,6,2] => 10
[4,1,5,6,2,3] => [1,4,6,3,5,2] => 25
[4,1,5,6,3,2] => [1,4,6,2,3,5] => 9
[4,1,6,2,3,5] => [1,4,2,3,6,5] => 6
[4,1,6,2,5,3] => [1,4,2,3,6,5] => 6
[4,1,6,3,2,5] => [1,4,3,6,5,2] => 20
[4,1,6,3,5,2] => [1,4,3,6,2,5] => 14
[4,1,6,5,2,3] => [1,4,5,2,3,6] => 6
[4,1,6,5,3,2] => [1,4,5,3,6,2] => 15
[4,2,1,3,5,6] => [1,4,3,2,5,6] => 6
[4,2,1,3,6,5] => [1,4,3,2,5,6] => 6
[4,2,1,5,3,6] => [1,4,5,3,2,6] => 12
[4,2,1,5,6,3] => [1,4,5,6,3,2] => 20
[4,2,1,6,3,5] => [1,4,6,5,3,2] => 40
[4,2,1,6,5,3] => [1,4,6,3,2,5] => 18
[4,2,3,1,5,6] => [1,4,2,3,5,6] => 3
[4,2,3,1,6,5] => [1,4,2,3,5,6] => 3
[4,2,3,5,1,6] => [1,4,5,2,3,6] => 6
[4,2,3,5,6,1] => [1,4,5,6,2,3] => 10
[4,2,3,6,1,5] => [1,4,6,5,2,3] => 20
[4,2,3,6,5,1] => [1,4,6,2,3,5] => 9
[4,2,5,1,3,6] => [1,4,2,3,5,6] => 3
[4,2,5,1,6,3] => [1,4,2,3,5,6] => 3
[4,2,5,3,1,6] => [1,4,3,5,2,6] => 8
[4,2,5,3,6,1] => [1,4,3,5,6,2] => 10
[4,2,5,6,1,3] => [1,4,6,3,5,2] => 25
[4,2,5,6,3,1] => [1,4,6,2,3,5] => 9
[4,2,6,1,3,5] => [1,4,2,3,6,5] => 6
[4,2,6,1,5,3] => [1,4,2,3,6,5] => 6
[4,2,6,3,1,5] => [1,4,3,6,5,2] => 20
[4,2,6,3,5,1] => [1,4,3,6,2,5] => 14
[4,2,6,5,1,3] => [1,4,5,2,3,6] => 6
[4,2,6,5,3,1] => [1,4,5,3,6,2] => 15
[4,3,1,2,5,6] => [1,4,2,3,5,6] => 3
[4,3,1,2,6,5] => [1,4,2,3,5,6] => 3
[4,3,1,5,2,6] => [1,4,5,2,3,6] => 6
[4,3,1,5,6,2] => [1,4,5,6,2,3] => 10
[4,3,1,6,2,5] => [1,4,6,5,2,3] => 20
[4,3,1,6,5,2] => [1,4,6,2,3,5] => 9
[4,3,2,1,5,6] => [1,4,2,3,5,6] => 3
[4,3,2,1,6,5] => [1,4,2,3,5,6] => 3
[4,3,2,5,1,6] => [1,4,5,2,3,6] => 6
[4,3,2,5,6,1] => [1,4,5,6,2,3] => 10
[4,3,2,6,1,5] => [1,4,6,5,2,3] => 20
[4,3,2,6,5,1] => [1,4,6,2,3,5] => 9
[4,3,5,1,2,6] => [1,4,2,3,5,6] => 3
[4,3,5,1,6,2] => [1,4,2,3,5,6] => 3
[4,3,5,2,1,6] => [1,4,2,3,5,6] => 3
[4,3,5,2,6,1] => [1,4,2,3,5,6] => 3
[4,3,5,6,1,2] => [1,4,6,2,3,5] => 9
[4,3,5,6,2,1] => [1,4,6,2,3,5] => 9
[4,3,6,1,2,5] => [1,4,2,3,6,5] => 6
[4,3,6,1,5,2] => [1,4,2,3,6,5] => 6
[4,3,6,2,1,5] => [1,4,2,3,6,5] => 6
[4,3,6,2,5,1] => [1,4,2,3,6,5] => 6
[4,3,6,5,1,2] => [1,4,5,2,3,6] => 6
[4,3,6,5,2,1] => [1,4,5,2,3,6] => 6
[4,5,1,2,3,6] => [1,4,2,5,3,6] => 5
[4,5,1,2,6,3] => [1,4,2,5,6,3] => 7
[4,5,1,3,2,6] => [1,4,3,2,5,6] => 6
[4,5,1,3,6,2] => [1,4,3,2,5,6] => 6
[4,5,1,6,2,3] => [1,4,6,3,2,5] => 18
[4,5,1,6,3,2] => [1,4,6,2,5,3] => 16
[4,5,2,1,3,6] => [1,4,2,5,3,6] => 5
[4,5,2,1,6,3] => [1,4,2,5,6,3] => 7
[4,5,2,3,1,6] => [1,4,3,2,5,6] => 6
[4,5,2,3,6,1] => [1,4,3,2,5,6] => 6
[4,5,2,6,1,3] => [1,4,6,3,2,5] => 18
[4,5,2,6,3,1] => [1,4,6,2,5,3] => 16
[4,5,3,1,2,6] => [1,4,2,5,3,6] => 5
[4,5,3,1,6,2] => [1,4,2,5,6,3] => 7
[4,5,3,2,1,6] => [1,4,2,5,3,6] => 5
[4,5,3,2,6,1] => [1,4,2,5,6,3] => 7
[4,5,3,6,1,2] => [1,4,6,2,5,3] => 16
[4,5,3,6,2,1] => [1,4,6,2,5,3] => 16
[4,5,6,1,2,3] => [1,4,2,5,3,6] => 5
[4,5,6,1,3,2] => [1,4,2,5,3,6] => 5
[4,5,6,2,1,3] => [1,4,2,5,3,6] => 5
[4,5,6,2,3,1] => [1,4,2,5,3,6] => 5
[4,5,6,3,1,2] => [1,4,3,6,2,5] => 14
[4,5,6,3,2,1] => [1,4,3,6,2,5] => 14
[4,6,1,2,3,5] => [1,4,2,6,5,3] => 14
[4,6,1,2,5,3] => [1,4,2,6,3,5] => 8
[4,6,1,3,2,5] => [1,4,3,2,6,5] => 12
[4,6,1,3,5,2] => [1,4,3,2,6,5] => 12
[4,6,1,5,2,3] => [1,4,5,2,6,3] => 9
[4,6,1,5,3,2] => [1,4,5,3,2,6] => 12
[4,6,2,1,3,5] => [1,4,2,6,5,3] => 14
[4,6,2,1,5,3] => [1,4,2,6,3,5] => 8
[4,6,2,3,1,5] => [1,4,3,2,6,5] => 12
[4,6,2,3,5,1] => [1,4,3,2,6,5] => 12
[4,6,2,5,1,3] => [1,4,5,2,6,3] => 9
[4,6,2,5,3,1] => [1,4,5,3,2,6] => 12
[4,6,3,1,2,5] => [1,4,2,6,5,3] => 14
[4,6,3,1,5,2] => [1,4,2,6,3,5] => 8
[4,6,3,2,1,5] => [1,4,2,6,5,3] => 14
[4,6,3,2,5,1] => [1,4,2,6,3,5] => 8
[4,6,3,5,1,2] => [1,4,5,2,6,3] => 9
[4,6,3,5,2,1] => [1,4,5,2,6,3] => 9
[4,6,5,1,2,3] => [1,4,2,6,3,5] => 8
[4,6,5,1,3,2] => [1,4,2,6,3,5] => 8
[4,6,5,2,1,3] => [1,4,2,6,3,5] => 8
[4,6,5,2,3,1] => [1,4,2,6,3,5] => 8
[4,6,5,3,1,2] => [1,4,3,5,2,6] => 8
[4,6,5,3,2,1] => [1,4,3,5,2,6] => 8
[5,1,2,3,4,6] => [1,5,4,3,2,6] => 24
[5,1,2,3,6,4] => [1,5,6,4,3,2] => 60
[5,1,2,4,3,6] => [1,5,3,2,4,6] => 8
[5,1,2,4,6,3] => [1,5,6,3,2,4] => 20
[5,1,2,6,3,4] => [1,5,3,2,4,6] => 8
[5,1,2,6,4,3] => [1,5,4,6,3,2] => 40
[5,1,3,2,4,6] => [1,5,4,2,3,6] => 12
[5,1,3,2,6,4] => [1,5,6,4,2,3] => 30
[5,1,3,4,2,6] => [1,5,2,3,4,6] => 4
[5,1,3,4,6,2] => [1,5,6,2,3,4] => 10
[5,1,3,6,2,4] => [1,5,2,3,4,6] => 4
[5,1,3,6,4,2] => [1,5,4,6,2,3] => 20
[5,1,4,2,3,6] => [1,5,3,4,2,6] => 12
[5,1,4,2,6,3] => [1,5,6,3,4,2] => 30
[5,1,4,3,2,6] => [1,5,2,3,4,6] => 4
[5,1,4,3,6,2] => [1,5,6,2,3,4] => 10
[5,1,4,6,2,3] => [1,5,2,3,4,6] => 4
[5,1,4,6,3,2] => [1,5,3,4,6,2] => 15
[5,1,6,2,3,4] => [1,5,3,6,4,2] => 25
[5,1,6,2,4,3] => [1,5,4,2,3,6] => 12
[5,1,6,3,2,4] => [1,5,2,3,6,4] => 7
[5,1,6,3,4,2] => [1,5,4,3,6,2] => 30
[5,1,6,4,2,3] => [1,5,2,3,6,4] => 7
[5,1,6,4,3,2] => [1,5,3,6,2,4] => 16
[5,2,1,3,4,6] => [1,5,4,3,2,6] => 24
[5,2,1,3,6,4] => [1,5,6,4,3,2] => 60
[5,2,1,4,3,6] => [1,5,3,2,4,6] => 8
[5,2,1,4,6,3] => [1,5,6,3,2,4] => 20
[5,2,1,6,3,4] => [1,5,3,2,4,6] => 8
[5,2,1,6,4,3] => [1,5,4,6,3,2] => 40
[5,2,3,1,4,6] => [1,5,4,2,3,6] => 12
[5,2,3,1,6,4] => [1,5,6,4,2,3] => 30
[5,2,3,4,1,6] => [1,5,2,3,4,6] => 4
[5,2,3,4,6,1] => [1,5,6,2,3,4] => 10
[5,2,3,6,1,4] => [1,5,2,3,4,6] => 4
[5,2,3,6,4,1] => [1,5,4,6,2,3] => 20
[5,2,4,1,3,6] => [1,5,3,4,2,6] => 12
[5,2,4,1,6,3] => [1,5,6,3,4,2] => 30
[5,2,4,3,1,6] => [1,5,2,3,4,6] => 4
[5,2,4,3,6,1] => [1,5,6,2,3,4] => 10
[5,2,4,6,1,3] => [1,5,2,3,4,6] => 4
[5,2,4,6,3,1] => [1,5,3,4,6,2] => 15
[5,2,6,1,3,4] => [1,5,3,6,4,2] => 25
[5,2,6,1,4,3] => [1,5,4,2,3,6] => 12
[5,2,6,3,1,4] => [1,5,2,3,6,4] => 7
[5,2,6,3,4,1] => [1,5,4,3,6,2] => 30
[5,2,6,4,1,3] => [1,5,2,3,6,4] => 7
[5,2,6,4,3,1] => [1,5,3,6,2,4] => 16
[5,3,1,2,4,6] => [1,5,4,2,3,6] => 12
[5,3,1,2,6,4] => [1,5,6,4,2,3] => 30
[5,3,1,4,2,6] => [1,5,2,3,4,6] => 4
[5,3,1,4,6,2] => [1,5,6,2,3,4] => 10
[5,3,1,6,2,4] => [1,5,2,3,4,6] => 4
[5,3,1,6,4,2] => [1,5,4,6,2,3] => 20
[5,3,2,1,4,6] => [1,5,4,2,3,6] => 12
[5,3,2,1,6,4] => [1,5,6,4,2,3] => 30
[5,3,2,4,1,6] => [1,5,2,3,4,6] => 4
[5,3,2,4,6,1] => [1,5,6,2,3,4] => 10
[5,3,2,6,1,4] => [1,5,2,3,4,6] => 4
[5,3,2,6,4,1] => [1,5,4,6,2,3] => 20
[5,3,4,1,2,6] => [1,5,2,3,4,6] => 4
[5,3,4,1,6,2] => [1,5,6,2,3,4] => 10
[5,3,4,2,1,6] => [1,5,2,3,4,6] => 4
[5,3,4,2,6,1] => [1,5,6,2,3,4] => 10
[5,3,4,6,1,2] => [1,5,2,3,4,6] => 4
[5,3,4,6,2,1] => [1,5,2,3,4,6] => 4
[5,3,6,1,2,4] => [1,5,2,3,6,4] => 7
[5,3,6,1,4,2] => [1,5,4,2,3,6] => 12
[5,3,6,2,1,4] => [1,5,2,3,6,4] => 7
[5,3,6,2,4,1] => [1,5,4,2,3,6] => 12
[5,3,6,4,1,2] => [1,5,2,3,6,4] => 7
[5,3,6,4,2,1] => [1,5,2,3,6,4] => 7
[5,4,1,2,3,6] => [1,5,3,2,4,6] => 8
[5,4,1,2,6,3] => [1,5,6,3,2,4] => 20
[5,4,1,3,2,6] => [1,5,2,4,3,6] => 8
[5,4,1,3,6,2] => [1,5,6,2,4,3] => 20
[5,4,1,6,2,3] => [1,5,2,4,6,3] => 11
[5,4,1,6,3,2] => [1,5,3,2,4,6] => 8
[5,4,2,1,3,6] => [1,5,3,2,4,6] => 8
[5,4,2,1,6,3] => [1,5,6,3,2,4] => 20
[5,4,2,3,1,6] => [1,5,2,4,3,6] => 8
[5,4,2,3,6,1] => [1,5,6,2,4,3] => 20
[5,4,2,6,1,3] => [1,5,2,4,6,3] => 11
[5,4,2,6,3,1] => [1,5,3,2,4,6] => 8
[5,4,3,1,2,6] => [1,5,2,4,3,6] => 8
[5,4,3,1,6,2] => [1,5,6,2,4,3] => 20
[5,4,3,2,1,6] => [1,5,2,4,3,6] => 8
[5,4,3,2,6,1] => [1,5,6,2,4,3] => 20
[5,4,3,6,1,2] => [1,5,2,4,6,3] => 11
[5,4,3,6,2,1] => [1,5,2,4,6,3] => 11
[5,4,6,1,2,3] => [1,5,2,4,3,6] => 8
[5,4,6,1,3,2] => [1,5,3,6,2,4] => 16
[5,4,6,2,1,3] => [1,5,2,4,3,6] => 8
[5,4,6,2,3,1] => [1,5,3,6,2,4] => 16
[5,4,6,3,1,2] => [1,5,2,4,3,6] => 8
[5,4,6,3,2,1] => [1,5,2,4,3,6] => 8
[5,6,1,2,3,4] => [1,5,3,2,6,4] => 14
[5,6,1,2,4,3] => [1,5,4,2,6,3] => 18
[5,6,1,3,2,4] => [1,5,2,6,4,3] => 18
[5,6,1,3,4,2] => [1,5,4,3,2,6] => 24
[5,6,1,4,2,3] => [1,5,2,6,3,4] => 9
[5,6,1,4,3,2] => [1,5,3,2,6,4] => 14
[5,6,2,1,3,4] => [1,5,3,2,6,4] => 14
[5,6,2,1,4,3] => [1,5,4,2,6,3] => 18
[5,6,2,3,1,4] => [1,5,2,6,4,3] => 18
[5,6,2,3,4,1] => [1,5,4,3,2,6] => 24
[5,6,2,4,1,3] => [1,5,2,6,3,4] => 9
[5,6,2,4,3,1] => [1,5,3,2,6,4] => 14
[5,6,3,1,2,4] => [1,5,2,6,4,3] => 18
[5,6,3,1,4,2] => [1,5,4,2,6,3] => 18
[5,6,3,2,1,4] => [1,5,2,6,4,3] => 18
[5,6,3,2,4,1] => [1,5,4,2,6,3] => 18
[5,6,3,4,1,2] => [1,5,2,6,3,4] => 9
[5,6,3,4,2,1] => [1,5,2,6,3,4] => 9
[5,6,4,1,2,3] => [1,5,2,6,3,4] => 9
[5,6,4,1,3,2] => [1,5,3,4,2,6] => 12
[5,6,4,2,1,3] => [1,5,2,6,3,4] => 9
[5,6,4,2,3,1] => [1,5,3,4,2,6] => 12
[5,6,4,3,1,2] => [1,5,2,6,3,4] => 9
[5,6,4,3,2,1] => [1,5,2,6,3,4] => 9
[6,1,2,3,4,5] => [1,6,5,4,3,2] => 120
[6,1,2,3,5,4] => [1,6,4,3,2,5] => 30
[6,1,2,4,3,5] => [1,6,5,3,2,4] => 40
[6,1,2,4,5,3] => [1,6,3,2,4,5] => 10
[6,1,2,5,3,4] => [1,6,4,5,3,2] => 60
[6,1,2,5,4,3] => [1,6,3,2,4,5] => 10
[6,1,3,2,4,5] => [1,6,5,4,2,3] => 60
[6,1,3,2,5,4] => [1,6,4,2,3,5] => 15
[6,1,3,4,2,5] => [1,6,5,2,3,4] => 20
[6,1,3,4,5,2] => [1,6,2,3,4,5] => 5
[6,1,3,5,2,4] => [1,6,4,5,2,3] => 30
[6,1,3,5,4,2] => [1,6,2,3,4,5] => 5
[6,1,4,2,3,5] => [1,6,5,3,4,2] => 60
[6,1,4,2,5,3] => [1,6,3,4,2,5] => 15
[6,1,4,3,2,5] => [1,6,5,2,3,4] => 20
[6,1,4,3,5,2] => [1,6,2,3,4,5] => 5
[6,1,4,5,2,3] => [1,6,3,4,5,2] => 20
[6,1,4,5,3,2] => [1,6,2,3,4,5] => 5
[6,1,5,2,3,4] => [1,6,4,2,3,5] => 15
[6,1,5,2,4,3] => [1,6,3,5,4,2] => 40
[6,1,5,3,2,4] => [1,6,4,3,5,2] => 40
[6,1,5,3,4,2] => [1,6,2,3,5,4] => 10
[6,1,5,4,2,3] => [1,6,3,5,2,4] => 25
[6,1,5,4,3,2] => [1,6,2,3,5,4] => 10
[6,2,1,3,4,5] => [1,6,5,4,3,2] => 120
[6,2,1,3,5,4] => [1,6,4,3,2,5] => 30
[6,2,1,4,3,5] => [1,6,5,3,2,4] => 40
[6,2,1,4,5,3] => [1,6,3,2,4,5] => 10
[6,2,1,5,3,4] => [1,6,4,5,3,2] => 60
[6,2,1,5,4,3] => [1,6,3,2,4,5] => 10
[6,2,3,1,4,5] => [1,6,5,4,2,3] => 60
[6,2,3,1,5,4] => [1,6,4,2,3,5] => 15
[6,2,3,4,1,5] => [1,6,5,2,3,4] => 20
[6,2,3,4,5,1] => [1,6,2,3,4,5] => 5
[6,2,3,5,1,4] => [1,6,4,5,2,3] => 30
[6,2,3,5,4,1] => [1,6,2,3,4,5] => 5
[6,2,4,1,3,5] => [1,6,5,3,4,2] => 60
[6,2,4,1,5,3] => [1,6,3,4,2,5] => 15
[6,2,4,3,1,5] => [1,6,5,2,3,4] => 20
[6,2,4,3,5,1] => [1,6,2,3,4,5] => 5
[6,2,4,5,1,3] => [1,6,3,4,5,2] => 20
[6,2,4,5,3,1] => [1,6,2,3,4,5] => 5
[6,2,5,1,3,4] => [1,6,4,2,3,5] => 15
[6,2,5,1,4,3] => [1,6,3,5,4,2] => 40
[6,2,5,3,1,4] => [1,6,4,3,5,2] => 40
[6,2,5,3,4,1] => [1,6,2,3,5,4] => 10
[6,2,5,4,1,3] => [1,6,3,5,2,4] => 25
[6,2,5,4,3,1] => [1,6,2,3,5,4] => 10
[6,3,1,2,4,5] => [1,6,5,4,2,3] => 60
[6,3,1,2,5,4] => [1,6,4,2,3,5] => 15
[6,3,1,4,2,5] => [1,6,5,2,3,4] => 20
[6,3,1,4,5,2] => [1,6,2,3,4,5] => 5
[6,3,1,5,2,4] => [1,6,4,5,2,3] => 30
[6,3,1,5,4,2] => [1,6,2,3,4,5] => 5
[6,3,2,1,4,5] => [1,6,5,4,2,3] => 60
[6,3,2,1,5,4] => [1,6,4,2,3,5] => 15
[6,3,2,4,1,5] => [1,6,5,2,3,4] => 20
[6,3,2,4,5,1] => [1,6,2,3,4,5] => 5
[6,3,2,5,1,4] => [1,6,4,5,2,3] => 30
[6,3,2,5,4,1] => [1,6,2,3,4,5] => 5
[6,3,4,1,2,5] => [1,6,5,2,3,4] => 20
[6,3,4,1,5,2] => [1,6,2,3,4,5] => 5
[6,3,4,2,1,5] => [1,6,5,2,3,4] => 20
[6,3,4,2,5,1] => [1,6,2,3,4,5] => 5
[6,3,4,5,1,2] => [1,6,2,3,4,5] => 5
[6,3,4,5,2,1] => [1,6,2,3,4,5] => 5
[6,3,5,1,2,4] => [1,6,4,2,3,5] => 15
[6,3,5,1,4,2] => [1,6,2,3,5,4] => 10
[6,3,5,2,1,4] => [1,6,4,2,3,5] => 15
[6,3,5,2,4,1] => [1,6,2,3,5,4] => 10
[6,3,5,4,1,2] => [1,6,2,3,5,4] => 10
[6,3,5,4,2,1] => [1,6,2,3,5,4] => 10
[6,4,1,2,3,5] => [1,6,5,3,2,4] => 40
[6,4,1,2,5,3] => [1,6,3,2,4,5] => 10
[6,4,1,3,2,5] => [1,6,5,2,4,3] => 40
[6,4,1,3,5,2] => [1,6,2,4,3,5] => 10
[6,4,1,5,2,3] => [1,6,3,2,4,5] => 10
[6,4,1,5,3,2] => [1,6,2,4,5,3] => 15
[6,4,2,1,3,5] => [1,6,5,3,2,4] => 40
[6,4,2,1,5,3] => [1,6,3,2,4,5] => 10
[6,4,2,3,1,5] => [1,6,5,2,4,3] => 40
[6,4,2,3,5,1] => [1,6,2,4,3,5] => 10
[6,4,2,5,1,3] => [1,6,3,2,4,5] => 10
[6,4,2,5,3,1] => [1,6,2,4,5,3] => 15
[6,4,3,1,2,5] => [1,6,5,2,4,3] => 40
[6,4,3,1,5,2] => [1,6,2,4,3,5] => 10
[6,4,3,2,1,5] => [1,6,5,2,4,3] => 40
[6,4,3,2,5,1] => [1,6,2,4,3,5] => 10
[6,4,3,5,1,2] => [1,6,2,4,5,3] => 15
[6,4,3,5,2,1] => [1,6,2,4,5,3] => 15
[6,4,5,1,2,3] => [1,6,3,5,2,4] => 25
[6,4,5,1,3,2] => [1,6,2,4,3,5] => 10
[6,4,5,2,1,3] => [1,6,3,5,2,4] => 25
[6,4,5,2,3,1] => [1,6,2,4,3,5] => 10
[6,4,5,3,1,2] => [1,6,2,4,3,5] => 10
[6,4,5,3,2,1] => [1,6,2,4,3,5] => 10
[6,5,1,2,3,4] => [1,6,4,2,5,3] => 25
[6,5,1,2,4,3] => [1,6,3,2,5,4] => 20
[6,5,1,3,2,4] => [1,6,4,3,2,5] => 30
[6,5,1,3,4,2] => [1,6,2,5,4,3] => 30
[6,5,1,4,2,3] => [1,6,3,2,5,4] => 20
[6,5,1,4,3,2] => [1,6,2,5,3,4] => 15
[6,5,2,1,3,4] => [1,6,4,2,5,3] => 25
[6,5,2,1,4,3] => [1,6,3,2,5,4] => 20
[6,5,2,3,1,4] => [1,6,4,3,2,5] => 30
[6,5,2,3,4,1] => [1,6,2,5,4,3] => 30
[6,5,2,4,1,3] => [1,6,3,2,5,4] => 20
[6,5,2,4,3,1] => [1,6,2,5,3,4] => 15
[6,5,3,1,2,4] => [1,6,4,2,5,3] => 25
[6,5,3,1,4,2] => [1,6,2,5,4,3] => 30
[6,5,3,2,1,4] => [1,6,4,2,5,3] => 25
[6,5,3,2,4,1] => [1,6,2,5,4,3] => 30
[6,5,3,4,1,2] => [1,6,2,5,3,4] => 15
[6,5,3,4,2,1] => [1,6,2,5,3,4] => 15
[6,5,4,1,2,3] => [1,6,3,4,2,5] => 15
[6,5,4,1,3,2] => [1,6,2,5,3,4] => 15
[6,5,4,2,1,3] => [1,6,3,4,2,5] => 15
[6,5,4,2,3,1] => [1,6,2,5,3,4] => 15
[6,5,4,3,1,2] => [1,6,2,5,3,4] => 15
[6,5,4,3,2,1] => [1,6,2,5,3,4] => 15
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 1
[1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 1
[1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 1
[1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 2
[1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => 2
[1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 1
[1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 1
[1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => 1
[1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => 1
[1,2,3,5,7,4,6] => [1,2,3,4,5,7,6] => 2
[1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => 2
[1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 2
[1,2,3,6,5,4,7] => [1,2,3,4,6,5,7] => 2
[1,2,3,6,7,4,5] => [1,2,3,4,6,5,7] => 2
[1,2,3,6,7,5,4] => [1,2,3,4,6,5,7] => 2
[1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 1
[1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 1
[1,2,4,3,6,7,5] => [1,2,3,4,5,6,7] => 1
[1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 2
[1,2,4,3,7,6,5] => [1,2,3,4,5,7,6] => 2
[1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => 1
[1,2,4,5,3,7,6] => [1,2,3,4,5,6,7] => 1
[1,2,4,5,6,3,7] => [1,2,3,4,5,6,7] => 1
[1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => 1
[1,2,4,5,7,3,6] => [1,2,3,4,5,7,6] => 2
[1,2,4,5,7,6,3] => [1,2,3,4,5,7,6] => 2
[1,2,4,6,3,5,7] => [1,2,3,4,6,5,7] => 2
[1,2,4,6,5,3,7] => [1,2,3,4,6,5,7] => 2
[1,2,4,6,7,3,5] => [1,2,3,4,6,5,7] => 2
[1,2,4,6,7,5,3] => [1,2,3,4,6,5,7] => 2
[1,2,6,7,3,4,5] => [1,2,3,6,4,7,5] => 5
[1,2,6,7,4,3,5] => [1,2,3,6,4,7,5] => 5
[1,2,6,7,5,3,4] => [1,2,3,6,4,7,5] => 5
[1,2,6,7,5,4,3] => [1,2,3,6,4,7,5] => 5
[1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 1
[1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 1
[1,3,2,4,6,7,5] => [1,2,3,4,5,6,7] => 1
[1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 2
[1,3,2,4,7,6,5] => [1,2,3,4,5,7,6] => 2
[1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => 1
[1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 1
[1,3,2,5,6,4,7] => [1,2,3,4,5,6,7] => 1
[1,3,2,5,6,7,4] => [1,2,3,4,5,6,7] => 1
[1,3,2,5,7,4,6] => [1,2,3,4,5,7,6] => 2
[1,3,2,5,7,6,4] => [1,2,3,4,5,7,6] => 2
[1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => 2
[1,3,2,6,5,4,7] => [1,2,3,4,6,5,7] => 2
[1,3,2,6,7,4,5] => [1,2,3,4,6,5,7] => 2
[1,3,2,6,7,5,4] => [1,2,3,4,6,5,7] => 2
[1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,3,4,2,5,7,6] => [1,2,3,4,5,6,7] => 1
[1,3,4,2,6,5,7] => [1,2,3,4,5,6,7] => 1
[1,3,4,2,6,7,5] => [1,2,3,4,5,6,7] => 1
[1,3,4,2,7,5,6] => [1,2,3,4,5,7,6] => 2
[1,3,4,2,7,6,5] => [1,2,3,4,5,7,6] => 2
[1,3,4,5,2,6,7] => [1,2,3,4,5,6,7] => 1
[1,3,4,5,2,7,6] => [1,2,3,4,5,6,7] => 1
[1,3,4,5,6,2,7] => [1,2,3,4,5,6,7] => 1
[1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => 1
[1,3,4,5,7,2,6] => [1,2,3,4,5,7,6] => 2
[1,3,4,5,7,6,2] => [1,2,3,4,5,7,6] => 2
[1,3,4,6,2,5,7] => [1,2,3,4,6,5,7] => 2
[1,3,4,6,5,2,7] => [1,2,3,4,6,5,7] => 2
[1,3,4,6,7,2,5] => [1,2,3,4,6,5,7] => 2
[1,3,4,6,7,5,2] => [1,2,3,4,6,5,7] => 2
[1,3,6,7,2,4,5] => [1,2,3,6,4,7,5] => 5
[1,3,6,7,4,2,5] => [1,2,3,6,4,7,5] => 5
[1,3,6,7,5,2,4] => [1,2,3,6,4,7,5] => 5
[1,3,6,7,5,4,2] => [1,2,3,6,4,7,5] => 5
[1,6,2,7,4,3,5] => [1,2,6,3,4,7,5] => 7
[1,6,2,7,5,3,4] => [1,2,6,3,4,7,5] => 7
[1,6,3,7,4,2,5] => [1,2,6,3,4,7,5] => 7
[1,6,3,7,5,2,4] => [1,2,6,3,4,7,5] => 7
[1,6,4,7,2,3,5] => [1,2,6,3,4,7,5] => 7
[1,6,4,7,3,2,5] => [1,2,6,3,4,7,5] => 7
[1,6,4,7,5,2,3] => [1,2,6,3,4,7,5] => 7
[1,6,4,7,5,3,2] => [1,2,6,3,4,7,5] => 7
[2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => 1
[2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => 1
[2,1,3,4,6,7,5] => [1,2,3,4,5,6,7] => 1
[2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => 2
[2,1,3,4,7,6,5] => [1,2,3,4,5,7,6] => 2
[2,1,3,5,4,6,7] => [1,2,3,4,5,6,7] => 1
[2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => 1
[2,1,3,5,6,4,7] => [1,2,3,4,5,6,7] => 1
[2,1,3,5,6,7,4] => [1,2,3,4,5,6,7] => 1
[2,1,3,5,7,4,6] => [1,2,3,4,5,7,6] => 2
[2,1,3,5,7,6,4] => [1,2,3,4,5,7,6] => 2
[2,1,3,6,4,5,7] => [1,2,3,4,6,5,7] => 2
[2,1,3,6,5,4,7] => [1,2,3,4,6,5,7] => 2
[2,1,3,6,7,4,5] => [1,2,3,4,6,5,7] => 2
[2,1,3,6,7,5,4] => [1,2,3,4,6,5,7] => 2
[2,1,4,3,5,6,7] => [1,2,3,4,5,6,7] => 1
[2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => 1
[2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 1
[2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => 1
[2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => 2
[2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => 2
[2,1,4,5,3,6,7] => [1,2,3,4,5,6,7] => 1
[2,1,4,5,3,7,6] => [1,2,3,4,5,6,7] => 1
[2,1,4,5,6,3,7] => [1,2,3,4,5,6,7] => 1
[2,1,4,5,6,7,3] => [1,2,3,4,5,6,7] => 1
[2,1,4,5,7,3,6] => [1,2,3,4,5,7,6] => 2
[2,1,4,5,7,6,3] => [1,2,3,4,5,7,6] => 2
[2,1,4,6,3,5,7] => [1,2,3,4,6,5,7] => 2
[2,1,4,6,5,3,7] => [1,2,3,4,6,5,7] => 2
[2,1,4,6,7,3,5] => [1,2,3,4,6,5,7] => 2
[2,1,4,6,7,5,3] => [1,2,3,4,6,5,7] => 2
[2,1,6,7,3,4,5] => [1,2,3,6,4,7,5] => 5
[2,1,6,7,4,3,5] => [1,2,3,6,4,7,5] => 5
[2,1,6,7,5,3,4] => [1,2,3,6,4,7,5] => 5
[2,1,6,7,5,4,3] => [1,2,3,6,4,7,5] => 5
[2,3,1,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[2,3,1,4,5,7,6] => [1,2,3,4,5,6,7] => 1
[2,3,1,4,6,5,7] => [1,2,3,4,5,6,7] => 1
[2,3,1,4,6,7,5] => [1,2,3,4,5,6,7] => 1
[2,3,1,4,7,5,6] => [1,2,3,4,5,7,6] => 2
[2,3,1,4,7,6,5] => [1,2,3,4,5,7,6] => 2
[2,3,1,5,4,6,7] => [1,2,3,4,5,6,7] => 1
[2,3,1,5,4,7,6] => [1,2,3,4,5,6,7] => 1
[2,3,1,5,6,4,7] => [1,2,3,4,5,6,7] => 1
[2,3,1,5,6,7,4] => [1,2,3,4,5,6,7] => 1
[2,3,1,5,7,4,6] => [1,2,3,4,5,7,6] => 2
[2,3,1,5,7,6,4] => [1,2,3,4,5,7,6] => 2
[2,3,1,6,4,5,7] => [1,2,3,4,6,5,7] => 2
[2,3,1,6,5,4,7] => [1,2,3,4,6,5,7] => 2
[2,3,1,6,7,4,5] => [1,2,3,4,6,5,7] => 2
[2,3,1,6,7,5,4] => [1,2,3,4,6,5,7] => 2
[2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => 1
[2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => 1
[2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => 1
[2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => 1
[2,3,4,1,7,5,6] => [1,2,3,4,5,7,6] => 2
[2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => 2
[2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => 1
[2,3,4,5,1,7,6] => [1,2,3,4,5,6,7] => 1
[2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => 1
[2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,4,5,7,1,6] => [1,2,3,4,5,7,6] => 2
[2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,3,4,6,1,5,7] => [1,2,3,4,6,5,7] => 2
[2,3,4,6,5,1,7] => [1,2,3,4,6,5,7] => 2
[2,3,4,6,7,1,5] => [1,2,3,4,6,5,7] => 2
[2,3,4,6,7,5,1] => [1,2,3,4,6,5,7] => 2
[2,3,6,7,1,4,5] => [1,2,3,6,4,7,5] => 5
[2,3,6,7,4,1,5] => [1,2,3,6,4,7,5] => 5
[2,3,6,7,5,1,4] => [1,2,3,6,4,7,5] => 5
[2,3,6,7,5,4,1] => [1,2,3,6,4,7,5] => 5
[2,6,1,7,4,3,5] => [1,2,6,3,4,7,5] => 7
[2,6,1,7,5,3,4] => [1,2,6,3,4,7,5] => 7
[2,6,3,7,4,1,5] => [1,2,6,3,4,7,5] => 7
[2,6,3,7,5,1,4] => [1,2,6,3,4,7,5] => 7
[2,6,4,7,1,3,5] => [1,2,6,3,4,7,5] => 7
[2,6,4,7,3,1,5] => [1,2,6,3,4,7,5] => 7
[2,6,4,7,5,1,3] => [1,2,6,3,4,7,5] => 7
[2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => 7
[3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[3,1,2,4,5,7,6] => [1,3,2,4,5,6,7] => 2
[3,1,2,4,6,5,7] => [1,3,2,4,5,6,7] => 2
[3,1,2,4,6,7,5] => [1,3,2,4,5,6,7] => 2
[3,1,2,5,4,6,7] => [1,3,2,4,5,6,7] => 2
[3,1,2,5,4,7,6] => [1,3,2,4,5,6,7] => 2
[3,1,2,5,6,4,7] => [1,3,2,4,5,6,7] => 2
[3,1,2,5,6,7,4] => [1,3,2,4,5,6,7] => 2
[3,1,7,2,4,5,6] => [1,3,7,6,5,4,2] => 144
[3,1,7,4,5,6,2] => [1,3,7,2,4,5,6] => 9
[3,1,7,4,6,5,2] => [1,3,7,2,4,5,6] => 9
[3,1,7,5,4,6,2] => [1,3,7,2,4,5,6] => 9
[3,1,7,5,6,4,2] => [1,3,7,2,4,5,6] => 9
[3,2,1,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[3,2,1,4,5,7,6] => [1,3,2,4,5,6,7] => 2
[3,2,1,4,6,5,7] => [1,3,2,4,5,6,7] => 2
[3,2,1,4,6,7,5] => [1,3,2,4,5,6,7] => 2
[3,2,1,5,4,6,7] => [1,3,2,4,5,6,7] => 2
[3,2,1,5,4,7,6] => [1,3,2,4,5,6,7] => 2
[3,2,1,5,6,4,7] => [1,3,2,4,5,6,7] => 2
[3,2,1,5,6,7,4] => [1,3,2,4,5,6,7] => 2
[3,2,7,1,4,5,6] => [1,3,7,6,5,4,2] => 144
[3,2,7,4,5,6,1] => [1,3,7,2,4,5,6] => 9
[3,2,7,4,6,5,1] => [1,3,7,2,4,5,6] => 9
[3,2,7,5,4,6,1] => [1,3,7,2,4,5,6] => 9
[3,2,7,5,6,4,1] => [1,3,7,2,4,5,6] => 9
[3,4,1,2,5,6,7] => [1,3,2,4,5,6,7] => 2
[3,4,1,2,5,7,6] => [1,3,2,4,5,6,7] => 2
[3,4,1,2,6,5,7] => [1,3,2,4,5,6,7] => 2
[3,4,1,2,6,7,5] => [1,3,2,4,5,6,7] => 2
[3,4,1,5,2,6,7] => [1,3,2,4,5,6,7] => 2
[3,4,1,5,2,7,6] => [1,3,2,4,5,6,7] => 2
[3,4,1,5,6,2,7] => [1,3,2,4,5,6,7] => 2
[3,4,1,5,6,7,2] => [1,3,2,4,5,6,7] => 2
[3,4,2,1,5,6,7] => [1,3,2,4,5,6,7] => 2
[3,4,2,1,5,7,6] => [1,3,2,4,5,6,7] => 2
[3,4,2,1,6,5,7] => [1,3,2,4,5,6,7] => 2
[3,4,2,1,6,7,5] => [1,3,2,4,5,6,7] => 2
[3,4,2,5,1,6,7] => [1,3,2,4,5,6,7] => 2
[3,4,2,5,1,7,6] => [1,3,2,4,5,6,7] => 2
[3,4,2,5,6,1,7] => [1,3,2,4,5,6,7] => 2
[3,4,2,5,6,7,1] => [1,3,2,4,5,6,7] => 2
[3,4,7,1,5,6,2] => [1,3,7,2,4,5,6] => 9
[3,4,7,1,6,5,2] => [1,3,7,2,4,5,6] => 9
[3,4,7,2,5,6,1] => [1,3,7,2,4,5,6] => 9
[3,4,7,2,6,5,1] => [1,3,7,2,4,5,6] => 9
[3,4,7,5,1,6,2] => [1,3,7,2,4,5,6] => 9
[3,4,7,5,2,6,1] => [1,3,7,2,4,5,6] => 9
[3,4,7,5,6,1,2] => [1,3,7,2,4,5,6] => 9
[3,4,7,5,6,2,1] => [1,3,7,2,4,5,6] => 9
[4,1,2,6,3,7,5] => [1,4,6,7,5,3,2] => 90
[4,1,2,7,3,5,6] => [1,4,7,6,5,3,2] => 180
[4,1,3,6,5,7,2] => [1,4,6,7,2,3,5] => 19
[4,1,3,7,5,6,2] => [1,4,7,2,3,5,6] => 12
[4,1,3,7,6,5,2] => [1,4,7,2,3,5,6] => 12
[4,1,5,6,3,7,2] => [1,4,6,7,2,3,5] => 19
[4,1,5,7,3,6,2] => [1,4,7,2,3,5,6] => 12
[4,1,5,7,6,3,2] => [1,4,7,2,3,5,6] => 12
[4,2,1,6,3,7,5] => [1,4,6,7,5,3,2] => 90
[4,2,1,7,3,5,6] => [1,4,7,6,5,3,2] => 180
[4,2,3,6,5,7,1] => [1,4,6,7,2,3,5] => 19
[4,2,3,7,5,6,1] => [1,4,7,2,3,5,6] => 12
[4,2,3,7,6,5,1] => [1,4,7,2,3,5,6] => 12
[4,2,5,6,3,7,1] => [1,4,6,7,2,3,5] => 19
[4,2,5,7,3,6,1] => [1,4,7,2,3,5,6] => 12
[4,2,5,7,6,3,1] => [1,4,7,2,3,5,6] => 12
[4,3,1,6,5,7,2] => [1,4,6,7,2,3,5] => 19
[4,3,1,7,5,6,2] => [1,4,7,2,3,5,6] => 12
[4,3,1,7,6,5,2] => [1,4,7,2,3,5,6] => 12
[4,3,2,6,5,7,1] => [1,4,6,7,2,3,5] => 19
[4,3,2,7,5,6,1] => [1,4,7,2,3,5,6] => 12
[4,3,2,7,6,5,1] => [1,4,7,2,3,5,6] => 12
[4,3,5,6,1,7,2] => [1,4,6,7,2,3,5] => 19
[4,3,5,6,2,7,1] => [1,4,6,7,2,3,5] => 19
[4,3,5,7,1,6,2] => [1,4,7,2,3,5,6] => 12
[4,3,5,7,2,6,1] => [1,4,7,2,3,5,6] => 12
[4,3,5,7,6,1,2] => [1,4,7,2,3,5,6] => 12
[4,3,5,7,6,2,1] => [1,4,7,2,3,5,6] => 12
[5,1,2,3,6,7,4] => [1,5,6,7,4,3,2] => 120
[5,1,2,3,7,4,6] => [1,5,7,6,4,3,2] => 240
[5,1,2,7,4,3,6] => [1,5,4,7,6,3,2] => 120
[5,1,2,7,6,4,3] => [1,5,6,4,7,3,2] => 90
[5,1,3,4,6,7,2] => [1,5,6,7,2,3,4] => 20
[5,1,3,4,7,6,2] => [1,5,7,2,3,4,6] => 14
[5,1,3,6,7,4,2] => [1,5,7,2,3,4,6] => 14
[5,1,3,7,2,4,6] => [1,5,2,3,4,7,6] => 8
[5,1,3,7,2,6,4] => [1,5,2,3,4,7,6] => 8
[5,1,4,3,6,7,2] => [1,5,6,7,2,3,4] => 20
[5,1,4,3,7,6,2] => [1,5,7,2,3,4,6] => 14
[5,1,4,6,7,3,2] => [1,5,7,2,3,4,6] => 14
[5,1,4,7,2,3,6] => [1,5,2,3,4,7,6] => 8
[5,1,4,7,2,6,3] => [1,5,2,3,4,7,6] => 8
[5,2,1,3,6,7,4] => [1,5,6,7,4,3,2] => 120
[5,2,1,3,7,4,6] => [1,5,7,6,4,3,2] => 240
[5,2,1,7,4,3,6] => [1,5,4,7,6,3,2] => 120
[5,2,1,7,6,4,3] => [1,5,6,4,7,3,2] => 90
[5,2,3,4,6,7,1] => [1,5,6,7,2,3,4] => 20
[5,2,3,4,7,6,1] => [1,5,7,2,3,4,6] => 14
[5,2,3,6,7,4,1] => [1,5,7,2,3,4,6] => 14
[5,2,3,7,1,4,6] => [1,5,2,3,4,7,6] => 8
[5,2,3,7,1,6,4] => [1,5,2,3,4,7,6] => 8
[5,2,4,3,6,7,1] => [1,5,6,7,2,3,4] => 20
[5,2,4,3,7,6,1] => [1,5,7,2,3,4,6] => 14
[5,2,4,6,7,3,1] => [1,5,7,2,3,4,6] => 14
[5,2,4,7,1,3,6] => [1,5,2,3,4,7,6] => 8
[5,2,4,7,1,6,3] => [1,5,2,3,4,7,6] => 8
[5,3,1,4,6,7,2] => [1,5,6,7,2,3,4] => 20
[5,3,1,4,7,6,2] => [1,5,7,2,3,4,6] => 14
[5,3,1,6,7,4,2] => [1,5,7,2,3,4,6] => 14
[5,3,1,7,2,4,6] => [1,5,2,3,4,7,6] => 8
[5,3,1,7,2,6,4] => [1,5,2,3,4,7,6] => 8
[5,3,2,4,6,7,1] => [1,5,6,7,2,3,4] => 20
[5,3,2,4,7,6,1] => [1,5,7,2,3,4,6] => 14
[5,3,2,6,7,4,1] => [1,5,7,2,3,4,6] => 14
[5,3,2,7,1,4,6] => [1,5,2,3,4,7,6] => 8
[5,3,2,7,1,6,4] => [1,5,2,3,4,7,6] => 8
[5,3,4,1,6,7,2] => [1,5,6,7,2,3,4] => 20
[5,3,4,1,7,6,2] => [1,5,7,2,3,4,6] => 14
[5,3,4,2,6,7,1] => [1,5,6,7,2,3,4] => 20
[5,3,4,2,7,6,1] => [1,5,7,2,3,4,6] => 14
[5,3,4,6,7,1,2] => [1,5,7,2,3,4,6] => 14
[5,3,4,6,7,2,1] => [1,5,7,2,3,4,6] => 14
[5,3,4,7,1,2,6] => [1,5,2,3,4,7,6] => 8
[5,3,4,7,1,6,2] => [1,5,2,3,4,7,6] => 8
[5,3,4,7,2,1,6] => [1,5,2,3,4,7,6] => 8
[5,3,4,7,2,6,1] => [1,5,2,3,4,7,6] => 8
[5,7,1,4,2,6,3] => [1,5,2,7,3,4,6] => 13
[5,7,1,4,6,2,3] => [1,5,6,2,7,3,4] => 19
[5,7,1,6,2,4,3] => [1,5,2,7,3,4,6] => 13
[5,7,2,4,1,6,3] => [1,5,2,7,3,4,6] => 13
[5,7,2,4,6,1,3] => [1,5,6,2,7,3,4] => 19
[5,7,2,6,1,4,3] => [1,5,2,7,3,4,6] => 13
[5,7,3,4,1,6,2] => [1,5,2,7,3,4,6] => 13
[5,7,3,4,2,6,1] => [1,5,2,7,3,4,6] => 13
[5,7,3,4,6,1,2] => [1,5,6,2,7,3,4] => 19
[5,7,3,4,6,2,1] => [1,5,6,2,7,3,4] => 19
[5,7,3,6,1,4,2] => [1,5,2,7,3,4,6] => 13
[5,7,3,6,2,4,1] => [1,5,2,7,3,4,6] => 13
[5,7,4,1,2,6,3] => [1,5,2,7,3,4,6] => 13
[5,7,4,1,6,2,3] => [1,5,6,2,7,3,4] => 19
[5,7,4,2,1,6,3] => [1,5,2,7,3,4,6] => 13
[5,7,4,2,6,1,3] => [1,5,6,2,7,3,4] => 19
[5,7,4,3,1,6,2] => [1,5,2,7,3,4,6] => 13
[5,7,4,3,2,6,1] => [1,5,2,7,3,4,6] => 13
[5,7,4,3,6,1,2] => [1,5,6,2,7,3,4] => 19
[5,7,4,3,6,2,1] => [1,5,6,2,7,3,4] => 19
[5,7,4,6,1,2,3] => [1,5,2,7,3,4,6] => 13
[5,7,4,6,1,3,2] => [1,5,2,7,3,4,6] => 13
[5,7,4,6,2,1,3] => [1,5,2,7,3,4,6] => 13
[5,7,4,6,2,3,1] => [1,5,2,7,3,4,6] => 13
[6,1,2,3,4,7,5] => [1,6,7,5,4,3,2] => 360
[6,1,2,3,7,5,4] => [1,6,5,7,4,3,2] => 240
[6,1,2,7,4,5,3] => [1,6,5,4,7,3,2] => 180
[6,1,3,4,5,7,2] => [1,6,7,2,3,4,5] => 15
[6,1,3,5,4,7,2] => [1,6,7,2,3,4,5] => 15
[6,1,3,7,4,2,5] => [1,6,2,3,4,7,5] => 9
[6,1,3,7,5,2,4] => [1,6,2,3,4,7,5] => 9
[6,1,4,3,5,7,2] => [1,6,7,2,3,4,5] => 15
[6,1,4,5,3,7,2] => [1,6,7,2,3,4,5] => 15
[6,1,4,7,3,2,5] => [1,6,2,3,4,7,5] => 9
[6,1,4,7,5,2,3] => [1,6,2,3,4,7,5] => 9
[6,1,7,3,4,5,2] => [1,6,5,4,3,7,2] => 144
[6,1,7,3,5,2,4] => [1,6,2,3,7,4,5] => 12
[6,1,7,4,5,2,3] => [1,6,2,3,7,4,5] => 12
[6,1,7,5,3,2,4] => [1,6,2,3,7,4,5] => 12
[6,1,7,5,4,2,3] => [1,6,2,3,7,4,5] => 12
[6,2,1,3,4,7,5] => [1,6,7,5,4,3,2] => 360
[6,2,1,3,7,5,4] => [1,6,5,7,4,3,2] => 240
[6,2,1,7,4,5,3] => [1,6,5,4,7,3,2] => 180
[6,2,3,4,5,7,1] => [1,6,7,2,3,4,5] => 15
[6,2,3,5,4,7,1] => [1,6,7,2,3,4,5] => 15
[6,2,3,7,4,1,5] => [1,6,2,3,4,7,5] => 9
[6,2,3,7,5,1,4] => [1,6,2,3,4,7,5] => 9
[6,2,4,3,5,7,1] => [1,6,7,2,3,4,5] => 15
[6,2,4,5,3,7,1] => [1,6,7,2,3,4,5] => 15
[6,2,4,7,3,1,5] => [1,6,2,3,4,7,5] => 9
[6,2,4,7,5,1,3] => [1,6,2,3,4,7,5] => 9
[6,2,7,3,4,5,1] => [1,6,5,4,3,7,2] => 144
[6,2,7,3,5,1,4] => [1,6,2,3,7,4,5] => 12
[6,2,7,4,5,1,3] => [1,6,2,3,7,4,5] => 12
[6,2,7,5,3,1,4] => [1,6,2,3,7,4,5] => 12
[6,2,7,5,4,1,3] => [1,6,2,3,7,4,5] => 12
[6,3,1,4,5,7,2] => [1,6,7,2,3,4,5] => 15
[6,3,1,5,4,7,2] => [1,6,7,2,3,4,5] => 15
[6,3,1,7,4,2,5] => [1,6,2,3,4,7,5] => 9
[6,3,1,7,5,2,4] => [1,6,2,3,4,7,5] => 9
[6,3,2,4,5,7,1] => [1,6,7,2,3,4,5] => 15
[6,3,2,5,4,7,1] => [1,6,7,2,3,4,5] => 15
[6,3,2,7,4,1,5] => [1,6,2,3,4,7,5] => 9
[6,3,2,7,5,1,4] => [1,6,2,3,4,7,5] => 9
[6,3,4,1,5,7,2] => [1,6,7,2,3,4,5] => 15
[6,3,4,2,5,7,1] => [1,6,7,2,3,4,5] => 15
[6,3,4,5,1,7,2] => [1,6,7,2,3,4,5] => 15
[6,3,4,5,2,7,1] => [1,6,7,2,3,4,5] => 15
[6,3,4,7,1,2,5] => [1,6,2,3,4,7,5] => 9
[6,3,4,7,2,1,5] => [1,6,2,3,4,7,5] => 9
[6,3,4,7,5,1,2] => [1,6,2,3,4,7,5] => 9
[6,3,4,7,5,2,1] => [1,6,2,3,4,7,5] => 9
[6,3,7,1,5,2,4] => [1,6,2,3,7,4,5] => 12
[6,3,7,2,5,1,4] => [1,6,2,3,7,4,5] => 12
[6,3,7,4,5,1,2] => [1,6,2,3,7,4,5] => 12
[6,3,7,4,5,2,1] => [1,6,2,3,7,4,5] => 12
[6,3,7,5,1,2,4] => [1,6,2,3,7,4,5] => 12
[6,3,7,5,2,1,4] => [1,6,2,3,7,4,5] => 12
[6,3,7,5,4,1,2] => [1,6,2,3,7,4,5] => 12
[6,3,7,5,4,2,1] => [1,6,2,3,7,4,5] => 12
[6,7,1,4,5,2,3] => [1,6,2,7,3,4,5] => 14
[6,7,1,5,4,2,3] => [1,6,2,7,3,4,5] => 14
[6,7,2,4,5,1,3] => [1,6,2,7,3,4,5] => 14
[6,7,2,5,4,1,3] => [1,6,2,7,3,4,5] => 14
[6,7,3,4,5,1,2] => [1,6,2,7,3,4,5] => 14
[6,7,3,4,5,2,1] => [1,6,2,7,3,4,5] => 14
[6,7,3,5,4,1,2] => [1,6,2,7,3,4,5] => 14
[6,7,3,5,4,2,1] => [1,6,2,7,3,4,5] => 14
[6,7,4,1,5,2,3] => [1,6,2,7,3,4,5] => 14
[6,7,4,2,5,1,3] => [1,6,2,7,3,4,5] => 14
[6,7,4,3,5,1,2] => [1,6,2,7,3,4,5] => 14
[6,7,4,3,5,2,1] => [1,6,2,7,3,4,5] => 14
[6,7,4,5,1,2,3] => [1,6,2,7,3,4,5] => 14
[6,7,4,5,2,1,3] => [1,6,2,7,3,4,5] => 14
[6,7,4,5,3,1,2] => [1,6,2,7,3,4,5] => 14
[6,7,4,5,3,2,1] => [1,6,2,7,3,4,5] => 14
[7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => 720
[7,1,2,5,3,4,6] => [1,7,6,4,5,3,2] => 360
[7,1,2,5,6,3,4] => [1,7,4,5,6,3,2] => 120
[7,1,2,6,3,5,4] => [1,7,4,6,5,3,2] => 240
[7,1,2,6,4,3,5] => [1,7,5,4,6,3,2] => 240
[7,1,3,4,5,6,2] => [1,7,2,3,4,5,6] => 6
[7,1,3,4,6,5,2] => [1,7,2,3,4,5,6] => 6
[7,1,3,5,4,6,2] => [1,7,2,3,4,5,6] => 6
[7,1,3,5,6,4,2] => [1,7,2,3,4,5,6] => 6
[7,1,4,3,5,6,2] => [1,7,2,3,4,5,6] => 6
[7,1,4,3,6,5,2] => [1,7,2,3,4,5,6] => 6
[7,1,4,5,3,6,2] => [1,7,2,3,4,5,6] => 6
[7,1,4,5,6,3,2] => [1,7,2,3,4,5,6] => 6
[7,1,5,2,6,4,3] => [1,7,3,5,6,4,2] => 90
[7,1,6,2,4,5,3] => [1,7,3,6,5,4,2] => 180
[7,1,6,3,2,5,4] => [1,7,4,3,6,5,2] => 120
[7,1,6,3,4,2,5] => [1,7,5,4,3,6,2] => 180
[7,1,6,5,3,2,4] => [1,7,4,5,3,6,2] => 90
[7,2,1,3,4,5,6] => [1,7,6,5,4,3,2] => 720
[7,2,1,5,3,4,6] => [1,7,6,4,5,3,2] => 360
[7,2,1,5,6,3,4] => [1,7,4,5,6,3,2] => 120
[7,2,1,6,3,5,4] => [1,7,4,6,5,3,2] => 240
[7,2,1,6,4,3,5] => [1,7,5,4,6,3,2] => 240
[7,2,3,4,5,6,1] => [1,7,2,3,4,5,6] => 6
[7,2,3,4,6,5,1] => [1,7,2,3,4,5,6] => 6
[7,2,3,5,4,6,1] => [1,7,2,3,4,5,6] => 6
[7,2,3,5,6,4,1] => [1,7,2,3,4,5,6] => 6
[7,2,4,3,5,6,1] => [1,7,2,3,4,5,6] => 6
[7,2,4,3,6,5,1] => [1,7,2,3,4,5,6] => 6
[7,2,4,5,3,6,1] => [1,7,2,3,4,5,6] => 6
[7,2,4,5,6,3,1] => [1,7,2,3,4,5,6] => 6
[7,2,5,1,6,4,3] => [1,7,3,5,6,4,2] => 90
[7,2,6,1,4,5,3] => [1,7,3,6,5,4,2] => 180
[7,2,6,3,1,5,4] => [1,7,4,3,6,5,2] => 120
[7,2,6,3,4,1,5] => [1,7,5,4,3,6,2] => 180
[7,2,6,5,3,1,4] => [1,7,4,5,3,6,2] => 90
[7,3,1,4,5,6,2] => [1,7,2,3,4,5,6] => 6
[7,3,1,4,6,5,2] => [1,7,2,3,4,5,6] => 6
[7,3,1,5,4,6,2] => [1,7,2,3,4,5,6] => 6
[7,3,1,5,6,4,2] => [1,7,2,3,4,5,6] => 6
[7,3,2,4,5,6,1] => [1,7,2,3,4,5,6] => 6
[7,3,2,4,6,5,1] => [1,7,2,3,4,5,6] => 6
[7,3,2,5,4,6,1] => [1,7,2,3,4,5,6] => 6
[7,3,2,5,6,4,1] => [1,7,2,3,4,5,6] => 6
[7,3,4,1,5,6,2] => [1,7,2,3,4,5,6] => 6
[7,3,4,1,6,5,2] => [1,7,2,3,4,5,6] => 6
[7,3,4,2,5,6,1] => [1,7,2,3,4,5,6] => 6
[7,3,4,2,6,5,1] => [1,7,2,3,4,5,6] => 6
[7,3,4,5,1,6,2] => [1,7,2,3,4,5,6] => 6
[7,3,4,5,2,6,1] => [1,7,2,3,4,5,6] => 6
[7,3,4,5,6,1,2] => [1,7,2,3,4,5,6] => 6
[7,3,4,5,6,2,1] => [1,7,2,3,4,5,6] => 6
[2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8] => 1
[8,2,1,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => 5040
[8,1,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => 5040
[2,3,4,5,6,7,1,8] => [1,2,3,4,5,6,7,8] => 1
[2,3,4,5,6,1,7,8] => [1,2,3,4,5,6,7,8] => 1
[2,3,4,5,1,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[2,3,4,1,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[2,3,1,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[2,1,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[2,3,5,4,6,7,8,1] => [1,2,3,5,6,7,8,4] => 5
[1,3,5,4,6,7,8,2] => [1,2,3,5,6,7,8,4] => 5
[1,3,4,5,6,7,8,2] => [1,2,3,4,5,6,7,8] => 1
[2,1,5,4,6,7,8,3] => [1,2,3,5,6,7,8,4] => 5
[2,1,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => 1
[1,2,5,4,6,7,8,3] => [1,2,3,5,6,7,8,4] => 5
[1,2,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => 1
[2,3,1,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 1
[1,3,2,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 1
[2,1,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 1
[2,3,4,1,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[1,3,4,2,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[2,1,4,3,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[1,2,4,3,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[2,3,1,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[1,3,2,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[2,1,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[2,3,4,5,1,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[1,3,4,5,2,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[1,2,4,5,3,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[1,3,2,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[2,1,3,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[2,3,4,1,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[1,3,4,2,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[2,1,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[1,2,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[2,3,1,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[1,3,2,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[2,1,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[2,3,4,5,6,1,8,7] => [1,2,3,4,5,6,7,8] => 1
[1,3,4,5,6,2,8,7] => [1,2,3,4,5,6,7,8] => 1
[2,1,4,5,6,3,8,7] => [1,2,3,4,5,6,7,8] => 1
[1,2,4,5,6,3,8,7] => [1,2,3,4,5,6,7,8] => 1
[1,3,2,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => 1
[2,1,3,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => 1
[2,3,4,1,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[1,3,4,2,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[2,1,4,3,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[1,2,4,3,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[2,3,1,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[1,3,2,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[2,1,3,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[2,3,4,5,1,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[1,3,4,5,2,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[2,1,4,5,3,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[2,1,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[2,3,4,1,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[1,3,4,2,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[2,1,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[1,2,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[2,3,1,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[1,3,2,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[2,1,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[1,3,4,5,6,7,2,8] => [1,2,3,4,5,6,7,8] => 1
[2,1,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => 1
[2,3,1,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => 1
[1,3,2,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => 1
[2,3,4,1,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[1,3,4,2,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[2,1,4,3,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,4,3,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[2,3,1,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[1,3,2,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[2,1,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[2,3,4,5,1,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[1,3,4,5,2,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,4,5,3,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[2,3,1,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[1,3,2,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[2,3,4,1,5,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[1,3,4,2,5,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,4,3,5,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[2,3,1,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[1,3,2,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[2,1,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[1,3,4,5,6,2,7,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,4,5,6,3,7,8] => [1,2,3,4,5,6,7,8] => 1
[2,3,1,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 1
[1,3,2,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 1
[2,3,4,1,6,5,7,8] => [1,2,3,4,5,6,7,8] => 1
[2,1,4,3,6,5,7,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,4,3,6,5,7,8] => [1,2,3,4,5,6,7,8] => 1
[1,3,2,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 1
[2,1,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 1
[1,3,4,5,2,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[2,1,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[2,3,1,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[1,3,2,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[2,1,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[2,1,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[2,1,5,3,6,7,8,4] => [1,2,3,5,6,7,8,4] => 5
[2,3,5,1,6,7,8,4] => [1,2,3,5,6,7,8,4] => 5
[2,6,1,3,4,7,8,5] => [1,2,6,7,8,5,4,3] => 120
[3,1,5,2,7,4,8,6] => [1,3,5,7,8,6,4,2] => 105
[1,3,5,2,6,7,8,4] => [1,2,3,5,6,7,8,4] => 5
[1,2,5,3,6,7,8,4] => [1,2,3,5,6,7,8,4] => 5
[5,1,2,3,8,4,6,7] => [1,5,8,7,6,4,3,2] => 1260
[6,1,2,3,4,7,8,5] => [1,6,7,8,5,4,3,2] => 840
[1,6,2,3,4,7,8,5] => [1,2,6,7,8,5,4,3] => 120
[6,1,2,3,4,8,5,7] => [1,6,8,7,5,4,3,2] => 1680
[7,1,2,3,4,5,8,6] => [1,7,8,6,5,4,3,2] => 2520
[3,2,5,1,7,4,8,6] => [1,3,5,7,8,6,4,2] => 105
[7,2,1,3,4,8,6,5] => [1,7,6,8,5,4,3,2] => 1680
[7,1,2,3,8,5,6,4] => [1,7,6,5,8,4,3,2] => 1260
[4,2,6,3,8,5,1,7] => [1,4,3,6,5,8,7,2] => 56
[4,1,6,3,8,5,2,7] => [1,4,3,6,5,8,7,2] => 56
[4,1,8,3,2,5,6,7] => [1,4,3,8,7,6,5,2] => 336
[6,1,8,3,4,5,2,7] => [1,6,5,4,3,8,7,2] => 336
[7,1,2,3,4,8,6,5] => [1,7,6,8,5,4,3,2] => 1680
[4,2,8,3,1,5,6,7] => [1,4,3,8,7,6,5,2] => 336
[7,2,1,3,4,5,8,6] => [1,7,8,6,5,4,3,2] => 2520
[1,6,3,2,4,7,8,5] => [1,2,6,7,8,5,4,3] => 120
[6,2,1,3,4,7,8,5] => [1,6,7,8,5,4,3,2] => 840
[6,2,8,3,4,5,1,7] => [1,6,5,4,3,8,7,2] => 336
[5,2,1,3,8,4,6,7] => [1,5,8,7,6,4,3,2] => 1260
[2,6,3,1,4,7,8,5] => [1,2,6,7,8,5,4,3] => 120
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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 8,8,6,0,0,2 16,24,24,14,8,12,0,12,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,2
$F_{1} = q$
$F_{2} = 2\ q$
$F_{3} = 4\ q + 2\ q^{2}$
$F_{4} = 8\ q + 8\ q^{2} + 6\ q^{3} + 2\ q^{6}$
$F_{5} = 16\ q + 24\ q^{2} + 24\ q^{3} + 14\ q^{4} + 8\ q^{5} + 12\ q^{6} + 12\ q^{8} + 8\ q^{12} + 2\ q^{24}$
$F_{6} = 32\ q + 64\ q^{2} + 72\ q^{3} + 64\ q^{4} + 50\ q^{5} + 64\ q^{6} + 24\ q^{7} + 60\ q^{8} + 24\ q^{9} + 42\ q^{10} + 8\ q^{11} + 40\ q^{12} + 16\ q^{14} + 32\ q^{15} + 8\ q^{16} + 16\ q^{18} + 34\ q^{20} + 8\ q^{24} + 12\ q^{25} + 22\ q^{30} + 16\ q^{40} + 10\ q^{60} + 2\ q^{120}$
Description
The number of permutations less than or equal to a permutation in left weak order.
This is the same as the number of permutations less than or equal to the given permutation in right weak order.
This is the same as the number of permutations less than or equal to the given permutation in right weak order.
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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