Identifier
-
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
Mp00088: Permutations —Kreweras complement⟶ Permutations
Mp00223: Permutations —runsort⟶ Permutations
St001741: Permutations ⟶ ℤ
Values
[1] => [1] => [1] => [1] => 1
[1,2] => [1,2] => [2,1] => [1,2] => 1
[2,1] => [1,2] => [2,1] => [1,2] => 1
[1,2,3] => [1,2,3] => [2,3,1] => [1,2,3] => 1
[1,3,2] => [1,2,3] => [2,3,1] => [1,2,3] => 1
[2,1,3] => [1,2,3] => [2,3,1] => [1,2,3] => 1
[2,3,1] => [1,2,3] => [2,3,1] => [1,2,3] => 1
[3,1,2] => [1,3,2] => [2,1,3] => [1,3,2] => 2
[3,2,1] => [1,3,2] => [2,1,3] => [1,3,2] => 2
[1,2,3,4] => [1,2,3,4] => [2,3,4,1] => [1,2,3,4] => 1
[1,2,4,3] => [1,2,3,4] => [2,3,4,1] => [1,2,3,4] => 1
[1,3,2,4] => [1,2,3,4] => [2,3,4,1] => [1,2,3,4] => 1
[1,3,4,2] => [1,2,3,4] => [2,3,4,1] => [1,2,3,4] => 1
[1,4,2,3] => [1,2,4,3] => [2,3,1,4] => [1,4,2,3] => 2
[1,4,3,2] => [1,2,4,3] => [2,3,1,4] => [1,4,2,3] => 2
[2,1,3,4] => [1,2,3,4] => [2,3,4,1] => [1,2,3,4] => 1
[2,1,4,3] => [1,2,3,4] => [2,3,4,1] => [1,2,3,4] => 1
[2,3,1,4] => [1,2,3,4] => [2,3,4,1] => [1,2,3,4] => 1
[2,3,4,1] => [1,2,3,4] => [2,3,4,1] => [1,2,3,4] => 1
[2,4,1,3] => [1,2,4,3] => [2,3,1,4] => [1,4,2,3] => 2
[2,4,3,1] => [1,2,4,3] => [2,3,1,4] => [1,4,2,3] => 2
[3,1,2,4] => [1,3,2,4] => [2,4,3,1] => [1,2,4,3] => 2
[3,1,4,2] => [1,3,4,2] => [2,1,3,4] => [1,3,4,2] => 2
[3,2,1,4] => [1,3,2,4] => [2,4,3,1] => [1,2,4,3] => 2
[3,2,4,1] => [1,3,4,2] => [2,1,3,4] => [1,3,4,2] => 2
[3,4,1,2] => [1,3,2,4] => [2,4,3,1] => [1,2,4,3] => 2
[3,4,2,1] => [1,3,2,4] => [2,4,3,1] => [1,2,4,3] => 2
[4,1,2,3] => [1,4,3,2] => [2,1,4,3] => [1,4,2,3] => 2
[4,1,3,2] => [1,4,2,3] => [2,4,1,3] => [1,3,2,4] => 2
[4,2,1,3] => [1,4,3,2] => [2,1,4,3] => [1,4,2,3] => 2
[4,2,3,1] => [1,4,2,3] => [2,4,1,3] => [1,3,2,4] => 2
[4,3,1,2] => [1,4,2,3] => [2,4,1,3] => [1,3,2,4] => 2
[4,3,2,1] => [1,4,2,3] => [2,4,1,3] => [1,3,2,4] => 2
[1,2,3,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[1,2,3,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[1,2,4,3,5] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[1,2,4,5,3] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[1,2,5,3,4] => [1,2,3,5,4] => [2,3,4,1,5] => [1,5,2,3,4] => 2
[1,2,5,4,3] => [1,2,3,5,4] => [2,3,4,1,5] => [1,5,2,3,4] => 2
[1,3,2,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[1,3,2,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[1,3,4,2,5] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[1,3,4,5,2] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[1,3,5,2,4] => [1,2,3,5,4] => [2,3,4,1,5] => [1,5,2,3,4] => 2
[1,3,5,4,2] => [1,2,3,5,4] => [2,3,4,1,5] => [1,5,2,3,4] => 2
[1,4,2,3,5] => [1,2,4,3,5] => [2,3,5,4,1] => [1,2,3,5,4] => 2
[1,4,2,5,3] => [1,2,4,5,3] => [2,3,1,4,5] => [1,4,5,2,3] => 2
[1,4,3,2,5] => [1,2,4,3,5] => [2,3,5,4,1] => [1,2,3,5,4] => 2
[1,4,3,5,2] => [1,2,4,5,3] => [2,3,1,4,5] => [1,4,5,2,3] => 2
[1,4,5,2,3] => [1,2,4,3,5] => [2,3,5,4,1] => [1,2,3,5,4] => 2
[1,4,5,3,2] => [1,2,4,3,5] => [2,3,5,4,1] => [1,2,3,5,4] => 2
[1,5,2,3,4] => [1,2,5,4,3] => [2,3,1,5,4] => [1,5,2,3,4] => 2
[1,5,2,4,3] => [1,2,5,3,4] => [2,3,5,1,4] => [1,4,2,3,5] => 2
[1,5,3,2,4] => [1,2,5,4,3] => [2,3,1,5,4] => [1,5,2,3,4] => 2
[1,5,3,4,2] => [1,2,5,3,4] => [2,3,5,1,4] => [1,4,2,3,5] => 2
[1,5,4,2,3] => [1,2,5,3,4] => [2,3,5,1,4] => [1,4,2,3,5] => 2
[1,5,4,3,2] => [1,2,5,3,4] => [2,3,5,1,4] => [1,4,2,3,5] => 2
[2,1,3,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[2,1,3,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[2,1,4,3,5] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[2,1,4,5,3] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[2,1,5,3,4] => [1,2,3,5,4] => [2,3,4,1,5] => [1,5,2,3,4] => 2
[2,1,5,4,3] => [1,2,3,5,4] => [2,3,4,1,5] => [1,5,2,3,4] => 2
[2,3,1,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[2,3,1,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[2,3,4,1,5] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[2,3,4,5,1] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[2,3,5,1,4] => [1,2,3,5,4] => [2,3,4,1,5] => [1,5,2,3,4] => 2
[2,3,5,4,1] => [1,2,3,5,4] => [2,3,4,1,5] => [1,5,2,3,4] => 2
[2,4,1,3,5] => [1,2,4,3,5] => [2,3,5,4,1] => [1,2,3,5,4] => 2
[2,4,1,5,3] => [1,2,4,5,3] => [2,3,1,4,5] => [1,4,5,2,3] => 2
[2,4,3,1,5] => [1,2,4,3,5] => [2,3,5,4,1] => [1,2,3,5,4] => 2
[2,4,3,5,1] => [1,2,4,5,3] => [2,3,1,4,5] => [1,4,5,2,3] => 2
[2,4,5,1,3] => [1,2,4,3,5] => [2,3,5,4,1] => [1,2,3,5,4] => 2
[2,4,5,3,1] => [1,2,4,3,5] => [2,3,5,4,1] => [1,2,3,5,4] => 2
[2,5,1,3,4] => [1,2,5,4,3] => [2,3,1,5,4] => [1,5,2,3,4] => 2
[2,5,1,4,3] => [1,2,5,3,4] => [2,3,5,1,4] => [1,4,2,3,5] => 2
[2,5,3,1,4] => [1,2,5,4,3] => [2,3,1,5,4] => [1,5,2,3,4] => 2
[2,5,3,4,1] => [1,2,5,3,4] => [2,3,5,1,4] => [1,4,2,3,5] => 2
[2,5,4,1,3] => [1,2,5,3,4] => [2,3,5,1,4] => [1,4,2,3,5] => 2
[2,5,4,3,1] => [1,2,5,3,4] => [2,3,5,1,4] => [1,4,2,3,5] => 2
[3,1,2,4,5] => [1,3,2,4,5] => [2,4,3,5,1] => [1,2,4,3,5] => 2
[3,1,2,5,4] => [1,3,2,4,5] => [2,4,3,5,1] => [1,2,4,3,5] => 2
[3,1,4,2,5] => [1,3,4,2,5] => [2,5,3,4,1] => [1,2,5,3,4] => 2
[3,1,4,5,2] => [1,3,4,5,2] => [2,1,3,4,5] => [1,3,4,5,2] => 2
[3,1,5,2,4] => [1,3,5,4,2] => [2,1,3,5,4] => [1,3,5,2,4] => 2
[3,1,5,4,2] => [1,3,5,2,4] => [2,5,3,1,4] => [1,4,2,5,3] => 2
[3,2,1,4,5] => [1,3,2,4,5] => [2,4,3,5,1] => [1,2,4,3,5] => 2
[3,2,1,5,4] => [1,3,2,4,5] => [2,4,3,5,1] => [1,2,4,3,5] => 2
[3,2,4,1,5] => [1,3,4,2,5] => [2,5,3,4,1] => [1,2,5,3,4] => 2
[3,2,4,5,1] => [1,3,4,5,2] => [2,1,3,4,5] => [1,3,4,5,2] => 2
[3,2,5,1,4] => [1,3,5,4,2] => [2,1,3,5,4] => [1,3,5,2,4] => 2
[3,2,5,4,1] => [1,3,5,2,4] => [2,5,3,1,4] => [1,4,2,5,3] => 2
[3,4,1,2,5] => [1,3,2,4,5] => [2,4,3,5,1] => [1,2,4,3,5] => 2
[3,4,1,5,2] => [1,3,2,4,5] => [2,4,3,5,1] => [1,2,4,3,5] => 2
[3,4,2,1,5] => [1,3,2,4,5] => [2,4,3,5,1] => [1,2,4,3,5] => 2
[3,4,2,5,1] => [1,3,2,4,5] => [2,4,3,5,1] => [1,2,4,3,5] => 2
[3,4,5,1,2] => [1,3,5,2,4] => [2,5,3,1,4] => [1,4,2,5,3] => 2
[3,4,5,2,1] => [1,3,5,2,4] => [2,5,3,1,4] => [1,4,2,5,3] => 2
[3,5,1,2,4] => [1,3,2,5,4] => [2,4,3,1,5] => [1,5,2,4,3] => 2
[3,5,1,4,2] => [1,3,2,5,4] => [2,4,3,1,5] => [1,5,2,4,3] => 2
>>> Load all 3609 entries. <<<[3,5,2,1,4] => [1,3,2,5,4] => [2,4,3,1,5] => [1,5,2,4,3] => 2
[3,5,2,4,1] => [1,3,2,5,4] => [2,4,3,1,5] => [1,5,2,4,3] => 2
[3,5,4,1,2] => [1,3,4,2,5] => [2,5,3,4,1] => [1,2,5,3,4] => 2
[3,5,4,2,1] => [1,3,4,2,5] => [2,5,3,4,1] => [1,2,5,3,4] => 2
[4,1,2,3,5] => [1,4,3,2,5] => [2,5,4,3,1] => [1,2,5,3,4] => 2
[4,1,2,5,3] => [1,4,5,3,2] => [2,1,5,3,4] => [1,5,2,3,4] => 2
[4,1,3,2,5] => [1,4,2,3,5] => [2,4,5,3,1] => [1,2,4,5,3] => 2
[4,1,3,5,2] => [1,4,5,2,3] => [2,5,1,3,4] => [1,3,4,2,5] => 2
[4,1,5,2,3] => [1,4,2,3,5] => [2,4,5,3,1] => [1,2,4,5,3] => 2
[4,1,5,3,2] => [1,4,3,5,2] => [2,1,4,3,5] => [1,4,2,3,5] => 2
[4,2,1,3,5] => [1,4,3,2,5] => [2,5,4,3,1] => [1,2,5,3,4] => 2
[4,2,1,5,3] => [1,4,5,3,2] => [2,1,5,3,4] => [1,5,2,3,4] => 2
[4,2,3,1,5] => [1,4,2,3,5] => [2,4,5,3,1] => [1,2,4,5,3] => 2
[4,2,3,5,1] => [1,4,5,2,3] => [2,5,1,3,4] => [1,3,4,2,5] => 2
[4,2,5,1,3] => [1,4,2,3,5] => [2,4,5,3,1] => [1,2,4,5,3] => 2
[4,2,5,3,1] => [1,4,3,5,2] => [2,1,4,3,5] => [1,4,2,3,5] => 2
[4,3,1,2,5] => [1,4,2,3,5] => [2,4,5,3,1] => [1,2,4,5,3] => 2
[4,3,1,5,2] => [1,4,5,2,3] => [2,5,1,3,4] => [1,3,4,2,5] => 2
[4,3,2,1,5] => [1,4,2,3,5] => [2,4,5,3,1] => [1,2,4,5,3] => 2
[4,3,2,5,1] => [1,4,5,2,3] => [2,5,1,3,4] => [1,3,4,2,5] => 2
[4,3,5,1,2] => [1,4,2,3,5] => [2,4,5,3,1] => [1,2,4,5,3] => 2
[4,3,5,2,1] => [1,4,2,3,5] => [2,4,5,3,1] => [1,2,4,5,3] => 2
[4,5,1,2,3] => [1,4,2,5,3] => [2,4,1,3,5] => [1,3,5,2,4] => 2
[4,5,1,3,2] => [1,4,3,2,5] => [2,5,4,3,1] => [1,2,5,3,4] => 2
[4,5,2,1,3] => [1,4,2,5,3] => [2,4,1,3,5] => [1,3,5,2,4] => 2
[4,5,2,3,1] => [1,4,3,2,5] => [2,5,4,3,1] => [1,2,5,3,4] => 2
[4,5,3,1,2] => [1,4,2,5,3] => [2,4,1,3,5] => [1,3,5,2,4] => 2
[4,5,3,2,1] => [1,4,2,5,3] => [2,4,1,3,5] => [1,3,5,2,4] => 2
[5,1,2,3,4] => [1,5,4,3,2] => [2,1,5,4,3] => [1,5,2,3,4] => 2
[5,1,2,4,3] => [1,5,3,2,4] => [2,5,4,1,3] => [1,3,2,5,4] => 2
[5,1,3,2,4] => [1,5,4,2,3] => [2,5,1,4,3] => [1,4,2,5,3] => 2
[5,1,3,4,2] => [1,5,2,3,4] => [2,4,5,1,3] => [1,3,2,4,5] => 2
[5,1,4,2,3] => [1,5,3,4,2] => [2,1,4,5,3] => [1,4,5,2,3] => 2
[5,1,4,3,2] => [1,5,2,3,4] => [2,4,5,1,3] => [1,3,2,4,5] => 2
[5,2,1,3,4] => [1,5,4,3,2] => [2,1,5,4,3] => [1,5,2,3,4] => 2
[5,2,1,4,3] => [1,5,3,2,4] => [2,5,4,1,3] => [1,3,2,5,4] => 2
[5,2,3,1,4] => [1,5,4,2,3] => [2,5,1,4,3] => [1,4,2,5,3] => 2
[5,2,3,4,1] => [1,5,2,3,4] => [2,4,5,1,3] => [1,3,2,4,5] => 2
[5,2,4,1,3] => [1,5,3,4,2] => [2,1,4,5,3] => [1,4,5,2,3] => 2
[5,2,4,3,1] => [1,5,2,3,4] => [2,4,5,1,3] => [1,3,2,4,5] => 2
[5,3,1,2,4] => [1,5,4,2,3] => [2,5,1,4,3] => [1,4,2,5,3] => 2
[5,3,1,4,2] => [1,5,2,3,4] => [2,4,5,1,3] => [1,3,2,4,5] => 2
[5,3,2,1,4] => [1,5,4,2,3] => [2,5,1,4,3] => [1,4,2,5,3] => 2
[5,3,2,4,1] => [1,5,2,3,4] => [2,4,5,1,3] => [1,3,2,4,5] => 2
[5,3,4,1,2] => [1,5,2,3,4] => [2,4,5,1,3] => [1,3,2,4,5] => 2
[5,3,4,2,1] => [1,5,2,3,4] => [2,4,5,1,3] => [1,3,2,4,5] => 2
[5,4,1,2,3] => [1,5,3,2,4] => [2,5,4,1,3] => [1,3,2,5,4] => 2
[5,4,1,3,2] => [1,5,2,4,3] => [2,4,1,5,3] => [1,5,2,4,3] => 2
[5,4,2,1,3] => [1,5,3,2,4] => [2,5,4,1,3] => [1,3,2,5,4] => 2
[5,4,2,3,1] => [1,5,2,4,3] => [2,4,1,5,3] => [1,5,2,4,3] => 2
[5,4,3,1,2] => [1,5,2,4,3] => [2,4,1,5,3] => [1,5,2,4,3] => 2
[5,4,3,2,1] => [1,5,2,4,3] => [2,4,1,5,3] => [1,5,2,4,3] => 2
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,2,3,4,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,2,3,5,4,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,2,3,5,6,4] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,2,3,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[1,2,3,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[1,2,4,3,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,2,4,3,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,2,4,5,3,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,2,4,5,6,3] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,2,4,6,3,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[1,2,4,6,5,3] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[1,2,5,3,4,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[1,2,5,3,6,4] => [1,2,3,5,6,4] => [2,3,4,1,5,6] => [1,5,6,2,3,4] => 2
[1,2,5,4,3,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[1,2,5,4,6,3] => [1,2,3,5,6,4] => [2,3,4,1,5,6] => [1,5,6,2,3,4] => 2
[1,2,5,6,3,4] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[1,2,5,6,4,3] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[1,2,6,3,4,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => [1,6,2,3,4,5] => 2
[1,2,6,3,5,4] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[1,2,6,4,3,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => [1,6,2,3,4,5] => 2
[1,2,6,4,5,3] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[1,2,6,5,3,4] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[1,2,6,5,4,3] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[1,3,2,4,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,3,2,4,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,3,2,5,4,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,3,2,5,6,4] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,3,2,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[1,3,2,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[1,3,4,2,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,3,4,2,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,3,4,5,2,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,3,4,5,6,2] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[1,3,4,6,2,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[1,3,4,6,5,2] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[1,3,5,2,4,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[1,3,5,2,6,4] => [1,2,3,5,6,4] => [2,3,4,1,5,6] => [1,5,6,2,3,4] => 2
[1,3,5,4,2,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[1,3,5,4,6,2] => [1,2,3,5,6,4] => [2,3,4,1,5,6] => [1,5,6,2,3,4] => 2
[1,3,5,6,2,4] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[1,3,5,6,4,2] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[1,3,6,2,4,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => [1,6,2,3,4,5] => 2
[1,3,6,2,5,4] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[1,3,6,4,2,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => [1,6,2,3,4,5] => 2
[1,3,6,4,5,2] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[1,3,6,5,2,4] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[1,3,6,5,4,2] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[1,4,2,3,5,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[1,4,2,3,6,5] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[1,4,2,5,3,6] => [1,2,4,5,3,6] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 2
[1,4,2,5,6,3] => [1,2,4,5,6,3] => [2,3,1,4,5,6] => [1,4,5,6,2,3] => 2
[1,4,2,6,3,5] => [1,2,4,6,5,3] => [2,3,1,4,6,5] => [1,4,6,2,3,5] => 2
[1,4,2,6,5,3] => [1,2,4,6,3,5] => [2,3,6,4,1,5] => [1,5,2,3,6,4] => 2
[1,4,3,2,5,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[1,4,3,2,6,5] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[1,4,3,5,2,6] => [1,2,4,5,3,6] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 2
[1,4,3,5,6,2] => [1,2,4,5,6,3] => [2,3,1,4,5,6] => [1,4,5,6,2,3] => 2
[1,4,3,6,2,5] => [1,2,4,6,5,3] => [2,3,1,4,6,5] => [1,4,6,2,3,5] => 2
[1,4,3,6,5,2] => [1,2,4,6,3,5] => [2,3,6,4,1,5] => [1,5,2,3,6,4] => 2
[1,4,5,2,3,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[1,4,5,2,6,3] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[1,4,5,3,2,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[1,4,5,3,6,2] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[1,4,5,6,2,3] => [1,2,4,6,3,5] => [2,3,6,4,1,5] => [1,5,2,3,6,4] => 2
[1,4,5,6,3,2] => [1,2,4,6,3,5] => [2,3,6,4,1,5] => [1,5,2,3,6,4] => 2
[1,4,6,2,3,5] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [1,6,2,3,5,4] => 2
[1,4,6,2,5,3] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [1,6,2,3,5,4] => 2
[1,4,6,3,2,5] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [1,6,2,3,5,4] => 2
[1,4,6,3,5,2] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [1,6,2,3,5,4] => 2
[1,4,6,5,2,3] => [1,2,4,5,3,6] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 2
[1,4,6,5,3,2] => [1,2,4,5,3,6] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 2
[1,5,2,3,4,6] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 2
[1,5,2,3,6,4] => [1,2,5,6,4,3] => [2,3,1,6,4,5] => [1,6,2,3,4,5] => 2
[1,5,2,4,3,6] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[1,5,2,4,6,3] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => [1,4,5,2,3,6] => 2
[1,5,2,6,3,4] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[1,5,2,6,4,3] => [1,2,5,4,6,3] => [2,3,1,5,4,6] => [1,5,2,3,4,6] => 2
[1,5,3,2,4,6] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 2
[1,5,3,2,6,4] => [1,2,5,6,4,3] => [2,3,1,6,4,5] => [1,6,2,3,4,5] => 2
[1,5,3,4,2,6] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[1,5,3,4,6,2] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => [1,4,5,2,3,6] => 2
[1,5,3,6,2,4] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[1,5,3,6,4,2] => [1,2,5,4,6,3] => [2,3,1,5,4,6] => [1,5,2,3,4,6] => 2
[1,5,4,2,3,6] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[1,5,4,2,6,3] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => [1,4,5,2,3,6] => 2
[1,5,4,3,2,6] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[1,5,4,3,6,2] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => [1,4,5,2,3,6] => 2
[1,5,4,6,2,3] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[1,5,4,6,3,2] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[1,5,6,2,3,4] => [1,2,5,3,6,4] => [2,3,5,1,4,6] => [1,4,6,2,3,5] => 2
[1,5,6,2,4,3] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 2
[1,5,6,3,2,4] => [1,2,5,3,6,4] => [2,3,5,1,4,6] => [1,4,6,2,3,5] => 2
[1,5,6,3,4,2] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 2
[1,5,6,4,2,3] => [1,2,5,3,6,4] => [2,3,5,1,4,6] => [1,4,6,2,3,5] => 2
[1,5,6,4,3,2] => [1,2,5,3,6,4] => [2,3,5,1,4,6] => [1,4,6,2,3,5] => 2
[1,6,2,3,4,5] => [1,2,6,5,4,3] => [2,3,1,6,5,4] => [1,6,2,3,4,5] => 2
[1,6,2,3,5,4] => [1,2,6,4,3,5] => [2,3,6,5,1,4] => [1,4,2,3,6,5] => 2
[1,6,2,4,3,5] => [1,2,6,5,3,4] => [2,3,6,1,5,4] => [1,5,2,3,6,4] => 2
[1,6,2,4,5,3] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[1,6,2,5,3,4] => [1,2,6,4,5,3] => [2,3,1,5,6,4] => [1,5,6,2,3,4] => 2
[1,6,2,5,4,3] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[1,6,3,2,4,5] => [1,2,6,5,4,3] => [2,3,1,6,5,4] => [1,6,2,3,4,5] => 2
[1,6,3,2,5,4] => [1,2,6,4,3,5] => [2,3,6,5,1,4] => [1,4,2,3,6,5] => 2
[1,6,3,4,2,5] => [1,2,6,5,3,4] => [2,3,6,1,5,4] => [1,5,2,3,6,4] => 2
[1,6,3,4,5,2] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[1,6,3,5,2,4] => [1,2,6,4,5,3] => [2,3,1,5,6,4] => [1,5,6,2,3,4] => 2
[1,6,3,5,4,2] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[1,6,4,2,3,5] => [1,2,6,5,3,4] => [2,3,6,1,5,4] => [1,5,2,3,6,4] => 2
[1,6,4,2,5,3] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[1,6,4,3,2,5] => [1,2,6,5,3,4] => [2,3,6,1,5,4] => [1,5,2,3,6,4] => 2
[1,6,4,3,5,2] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[1,6,4,5,2,3] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[1,6,4,5,3,2] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[1,6,5,2,3,4] => [1,2,6,4,3,5] => [2,3,6,5,1,4] => [1,4,2,3,6,5] => 2
[1,6,5,2,4,3] => [1,2,6,3,5,4] => [2,3,5,1,6,4] => [1,6,2,3,5,4] => 2
[1,6,5,3,2,4] => [1,2,6,4,3,5] => [2,3,6,5,1,4] => [1,4,2,3,6,5] => 2
[1,6,5,3,4,2] => [1,2,6,3,5,4] => [2,3,5,1,6,4] => [1,6,2,3,5,4] => 2
[1,6,5,4,2,3] => [1,2,6,3,5,4] => [2,3,5,1,6,4] => [1,6,2,3,5,4] => 2
[1,6,5,4,3,2] => [1,2,6,3,5,4] => [2,3,5,1,6,4] => [1,6,2,3,5,4] => 2
[2,1,3,4,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,1,3,4,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,1,3,5,4,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,1,3,5,6,4] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,1,3,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[2,1,3,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[2,1,4,3,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,1,4,3,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,1,4,5,3,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,1,4,5,6,3] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,1,4,6,3,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[2,1,4,6,5,3] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[2,1,5,3,4,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[2,1,5,3,6,4] => [1,2,3,5,6,4] => [2,3,4,1,5,6] => [1,5,6,2,3,4] => 2
[2,1,5,4,3,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[2,1,5,4,6,3] => [1,2,3,5,6,4] => [2,3,4,1,5,6] => [1,5,6,2,3,4] => 2
[2,1,5,6,3,4] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[2,1,5,6,4,3] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[2,1,6,3,4,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => [1,6,2,3,4,5] => 2
[2,1,6,3,5,4] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[2,1,6,4,3,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => [1,6,2,3,4,5] => 2
[2,1,6,4,5,3] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[2,1,6,5,3,4] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[2,1,6,5,4,3] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[2,3,1,4,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,3,1,4,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,3,1,5,4,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,3,1,5,6,4] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,3,1,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[2,3,1,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[2,3,4,1,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,3,4,1,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,3,4,5,1,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,3,4,5,6,1] => [1,2,3,4,5,6] => [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] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[2,3,4,6,5,1] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => 2
[2,3,5,1,4,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[2,3,5,1,6,4] => [1,2,3,5,6,4] => [2,3,4,1,5,6] => [1,5,6,2,3,4] => 2
[2,3,5,4,1,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[2,3,5,4,6,1] => [1,2,3,5,6,4] => [2,3,4,1,5,6] => [1,5,6,2,3,4] => 2
[2,3,5,6,1,4] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[2,3,5,6,4,1] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[2,3,6,1,4,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => [1,6,2,3,4,5] => 2
[2,3,6,1,5,4] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[2,3,6,4,1,5] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => [1,6,2,3,4,5] => 2
[2,3,6,4,5,1] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[2,3,6,5,1,4] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[2,3,6,5,4,1] => [1,2,3,6,4,5] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => 2
[2,4,1,3,5,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[2,4,1,3,6,5] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[2,4,1,5,3,6] => [1,2,4,5,3,6] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 2
[2,4,1,5,6,3] => [1,2,4,5,6,3] => [2,3,1,4,5,6] => [1,4,5,6,2,3] => 2
[2,4,1,6,3,5] => [1,2,4,6,5,3] => [2,3,1,4,6,5] => [1,4,6,2,3,5] => 2
[2,4,1,6,5,3] => [1,2,4,6,3,5] => [2,3,6,4,1,5] => [1,5,2,3,6,4] => 2
[2,4,3,1,5,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[2,4,3,1,6,5] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[2,4,3,5,1,6] => [1,2,4,5,3,6] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 2
[2,4,3,5,6,1] => [1,2,4,5,6,3] => [2,3,1,4,5,6] => [1,4,5,6,2,3] => 2
[2,4,3,6,1,5] => [1,2,4,6,5,3] => [2,3,1,4,6,5] => [1,4,6,2,3,5] => 2
[2,4,3,6,5,1] => [1,2,4,6,3,5] => [2,3,6,4,1,5] => [1,5,2,3,6,4] => 2
[2,4,5,1,3,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[2,4,5,1,6,3] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[2,4,5,3,1,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[2,4,5,3,6,1] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => 2
[2,4,5,6,1,3] => [1,2,4,6,3,5] => [2,3,6,4,1,5] => [1,5,2,3,6,4] => 2
[2,4,5,6,3,1] => [1,2,4,6,3,5] => [2,3,6,4,1,5] => [1,5,2,3,6,4] => 2
[2,4,6,1,3,5] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [1,6,2,3,5,4] => 2
[2,4,6,1,5,3] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [1,6,2,3,5,4] => 2
[2,4,6,3,1,5] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [1,6,2,3,5,4] => 2
[2,4,6,3,5,1] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [1,6,2,3,5,4] => 2
[2,4,6,5,1,3] => [1,2,4,5,3,6] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 2
[2,4,6,5,3,1] => [1,2,4,5,3,6] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 2
[2,5,1,3,4,6] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 2
[2,5,1,3,6,4] => [1,2,5,6,4,3] => [2,3,1,6,4,5] => [1,6,2,3,4,5] => 2
[2,5,1,4,3,6] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[2,5,1,4,6,3] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => [1,4,5,2,3,6] => 2
[2,5,1,6,3,4] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[2,5,1,6,4,3] => [1,2,5,4,6,3] => [2,3,1,5,4,6] => [1,5,2,3,4,6] => 2
[2,5,3,1,4,6] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 2
[2,5,3,1,6,4] => [1,2,5,6,4,3] => [2,3,1,6,4,5] => [1,6,2,3,4,5] => 2
[2,5,3,4,1,6] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[2,5,3,4,6,1] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => [1,4,5,2,3,6] => 2
[2,5,3,6,1,4] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[2,5,3,6,4,1] => [1,2,5,4,6,3] => [2,3,1,5,4,6] => [1,5,2,3,4,6] => 2
[2,5,4,1,3,6] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[2,5,4,1,6,3] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => [1,4,5,2,3,6] => 2
[2,5,4,3,1,6] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[2,5,4,3,6,1] => [1,2,5,6,3,4] => [2,3,6,1,4,5] => [1,4,5,2,3,6] => 2
[2,5,4,6,1,3] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[2,5,4,6,3,1] => [1,2,5,3,4,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => 2
[2,5,6,1,3,4] => [1,2,5,3,6,4] => [2,3,5,1,4,6] => [1,4,6,2,3,5] => 2
[2,5,6,1,4,3] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 2
[2,5,6,3,1,4] => [1,2,5,3,6,4] => [2,3,5,1,4,6] => [1,4,6,2,3,5] => 2
[2,5,6,3,4,1] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 2
[2,5,6,4,1,3] => [1,2,5,3,6,4] => [2,3,5,1,4,6] => [1,4,6,2,3,5] => 2
[2,5,6,4,3,1] => [1,2,5,3,6,4] => [2,3,5,1,4,6] => [1,4,6,2,3,5] => 2
[2,6,1,3,4,5] => [1,2,6,5,4,3] => [2,3,1,6,5,4] => [1,6,2,3,4,5] => 2
[2,6,1,3,5,4] => [1,2,6,4,3,5] => [2,3,6,5,1,4] => [1,4,2,3,6,5] => 2
[2,6,1,4,3,5] => [1,2,6,5,3,4] => [2,3,6,1,5,4] => [1,5,2,3,6,4] => 2
[2,6,1,4,5,3] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[2,6,1,5,3,4] => [1,2,6,4,5,3] => [2,3,1,5,6,4] => [1,5,6,2,3,4] => 2
[2,6,1,5,4,3] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[2,6,3,1,4,5] => [1,2,6,5,4,3] => [2,3,1,6,5,4] => [1,6,2,3,4,5] => 2
[2,6,3,1,5,4] => [1,2,6,4,3,5] => [2,3,6,5,1,4] => [1,4,2,3,6,5] => 2
[2,6,3,4,1,5] => [1,2,6,5,3,4] => [2,3,6,1,5,4] => [1,5,2,3,6,4] => 2
[2,6,3,4,5,1] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[2,6,3,5,1,4] => [1,2,6,4,5,3] => [2,3,1,5,6,4] => [1,5,6,2,3,4] => 2
[2,6,3,5,4,1] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[2,6,4,1,3,5] => [1,2,6,5,3,4] => [2,3,6,1,5,4] => [1,5,2,3,6,4] => 2
[2,6,4,1,5,3] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[2,6,4,3,1,5] => [1,2,6,5,3,4] => [2,3,6,1,5,4] => [1,5,2,3,6,4] => 2
[2,6,4,3,5,1] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[2,6,4,5,1,3] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[2,6,4,5,3,1] => [1,2,6,3,4,5] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => 2
[2,6,5,1,3,4] => [1,2,6,4,3,5] => [2,3,6,5,1,4] => [1,4,2,3,6,5] => 2
[2,6,5,1,4,3] => [1,2,6,3,5,4] => [2,3,5,1,6,4] => [1,6,2,3,5,4] => 2
[2,6,5,3,1,4] => [1,2,6,4,3,5] => [2,3,6,5,1,4] => [1,4,2,3,6,5] => 2
[2,6,5,3,4,1] => [1,2,6,3,5,4] => [2,3,5,1,6,4] => [1,6,2,3,5,4] => 2
[2,6,5,4,1,3] => [1,2,6,3,5,4] => [2,3,5,1,6,4] => [1,6,2,3,5,4] => 2
[2,6,5,4,3,1] => [1,2,6,3,5,4] => [2,3,5,1,6,4] => [1,6,2,3,5,4] => 2
[3,1,2,4,5,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,1,2,4,6,5] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,1,2,5,4,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,1,2,5,6,4] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,1,2,6,4,5] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [1,6,2,4,3,5] => 2
[3,1,2,6,5,4] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [1,6,2,4,3,5] => 2
[3,1,4,2,5,6] => [1,3,4,2,5,6] => [2,5,3,4,6,1] => [1,2,5,3,4,6] => 2
[3,1,4,2,6,5] => [1,3,4,2,5,6] => [2,5,3,4,6,1] => [1,2,5,3,4,6] => 2
[3,1,4,5,2,6] => [1,3,4,5,2,6] => [2,6,3,4,5,1] => [1,2,6,3,4,5] => 2
[3,1,4,5,6,2] => [1,3,4,5,6,2] => [2,1,3,4,5,6] => [1,3,4,5,6,2] => 2
[3,1,4,6,2,5] => [1,3,4,6,5,2] => [2,1,3,4,6,5] => [1,3,4,6,2,5] => 2
[3,1,4,6,5,2] => [1,3,4,6,2,5] => [2,6,3,4,1,5] => [1,5,2,6,3,4] => 2
[3,1,5,2,4,6] => [1,3,5,4,2,6] => [2,6,3,5,4,1] => [1,2,6,3,5,4] => 2
[3,1,5,2,6,4] => [1,3,5,6,4,2] => [2,1,3,6,4,5] => [1,3,6,2,4,5] => 2
[3,1,5,4,2,6] => [1,3,5,2,4,6] => [2,5,3,6,4,1] => [1,2,5,3,6,4] => 2
[3,1,5,4,6,2] => [1,3,5,6,2,4] => [2,6,3,1,4,5] => [1,4,5,2,6,3] => 2
[3,1,5,6,2,4] => [1,3,5,2,4,6] => [2,5,3,6,4,1] => [1,2,5,3,6,4] => 2
[3,1,5,6,4,2] => [1,3,5,4,6,2] => [2,1,3,5,4,6] => [1,3,5,2,4,6] => 2
[3,1,6,2,4,5] => [1,3,6,5,4,2] => [2,1,3,6,5,4] => [1,3,6,2,4,5] => 2
[3,1,6,2,5,4] => [1,3,6,4,2,5] => [2,6,3,5,1,4] => [1,4,2,6,3,5] => 2
[3,1,6,4,2,5] => [1,3,6,5,2,4] => [2,6,3,1,5,4] => [1,5,2,6,3,4] => 2
[3,1,6,4,5,2] => [1,3,6,2,4,5] => [2,5,3,6,1,4] => [1,4,2,5,3,6] => 2
[3,1,6,5,2,4] => [1,3,6,4,5,2] => [2,1,3,5,6,4] => [1,3,5,6,2,4] => 2
[3,1,6,5,4,2] => [1,3,6,2,4,5] => [2,5,3,6,1,4] => [1,4,2,5,3,6] => 2
[3,2,1,4,5,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,2,1,4,6,5] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,2,1,5,4,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,2,1,5,6,4] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,2,1,6,4,5] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [1,6,2,4,3,5] => 2
[3,2,1,6,5,4] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [1,6,2,4,3,5] => 2
[3,2,4,1,5,6] => [1,3,4,2,5,6] => [2,5,3,4,6,1] => [1,2,5,3,4,6] => 2
[3,2,4,1,6,5] => [1,3,4,2,5,6] => [2,5,3,4,6,1] => [1,2,5,3,4,6] => 2
[3,2,4,5,1,6] => [1,3,4,5,2,6] => [2,6,3,4,5,1] => [1,2,6,3,4,5] => 2
[3,2,4,5,6,1] => [1,3,4,5,6,2] => [2,1,3,4,5,6] => [1,3,4,5,6,2] => 2
[3,2,4,6,1,5] => [1,3,4,6,5,2] => [2,1,3,4,6,5] => [1,3,4,6,2,5] => 2
[3,2,4,6,5,1] => [1,3,4,6,2,5] => [2,6,3,4,1,5] => [1,5,2,6,3,4] => 2
[3,2,5,1,4,6] => [1,3,5,4,2,6] => [2,6,3,5,4,1] => [1,2,6,3,5,4] => 2
[3,2,5,1,6,4] => [1,3,5,6,4,2] => [2,1,3,6,4,5] => [1,3,6,2,4,5] => 2
[3,2,5,4,1,6] => [1,3,5,2,4,6] => [2,5,3,6,4,1] => [1,2,5,3,6,4] => 2
[3,2,5,4,6,1] => [1,3,5,6,2,4] => [2,6,3,1,4,5] => [1,4,5,2,6,3] => 2
[3,2,5,6,1,4] => [1,3,5,2,4,6] => [2,5,3,6,4,1] => [1,2,5,3,6,4] => 2
[3,2,5,6,4,1] => [1,3,5,4,6,2] => [2,1,3,5,4,6] => [1,3,5,2,4,6] => 2
[3,2,6,1,4,5] => [1,3,6,5,4,2] => [2,1,3,6,5,4] => [1,3,6,2,4,5] => 2
[3,2,6,1,5,4] => [1,3,6,4,2,5] => [2,6,3,5,1,4] => [1,4,2,6,3,5] => 2
[3,2,6,4,1,5] => [1,3,6,5,2,4] => [2,6,3,1,5,4] => [1,5,2,6,3,4] => 2
[3,2,6,4,5,1] => [1,3,6,2,4,5] => [2,5,3,6,1,4] => [1,4,2,5,3,6] => 2
[3,2,6,5,1,4] => [1,3,6,4,5,2] => [2,1,3,5,6,4] => [1,3,5,6,2,4] => 2
[3,2,6,5,4,1] => [1,3,6,2,4,5] => [2,5,3,6,1,4] => [1,4,2,5,3,6] => 2
[3,4,1,2,5,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,4,1,2,6,5] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,4,1,5,2,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,4,1,5,6,2] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,4,1,6,2,5] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [1,6,2,4,3,5] => 2
[3,4,1,6,5,2] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [1,6,2,4,3,5] => 2
[3,4,2,1,5,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,4,2,1,6,5] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,4,2,5,1,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,4,2,5,6,1] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => 2
[3,4,2,6,1,5] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [1,6,2,4,3,5] => 2
[3,4,2,6,5,1] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [1,6,2,4,3,5] => 2
[3,4,5,1,2,6] => [1,3,5,2,4,6] => [2,5,3,6,4,1] => [1,2,5,3,6,4] => 2
[3,4,5,1,6,2] => [1,3,5,6,2,4] => [2,6,3,1,4,5] => [1,4,5,2,6,3] => 2
[3,4,5,2,1,6] => [1,3,5,2,4,6] => [2,5,3,6,4,1] => [1,2,5,3,6,4] => 2
[3,4,5,2,6,1] => [1,3,5,6,2,4] => [2,6,3,1,4,5] => [1,4,5,2,6,3] => 2
[3,4,5,6,1,2] => [1,3,5,2,4,6] => [2,5,3,6,4,1] => [1,2,5,3,6,4] => 2
[3,4,5,6,2,1] => [1,3,5,2,4,6] => [2,5,3,6,4,1] => [1,2,5,3,6,4] => 2
[3,4,6,1,2,5] => [1,3,6,5,2,4] => [2,6,3,1,5,4] => [1,5,2,6,3,4] => 2
[3,4,6,1,5,2] => [1,3,6,2,4,5] => [2,5,3,6,1,4] => [1,4,2,5,3,6] => 2
[3,4,6,2,1,5] => [1,3,6,5,2,4] => [2,6,3,1,5,4] => [1,5,2,6,3,4] => 2
[3,4,6,2,5,1] => [1,3,6,2,4,5] => [2,5,3,6,1,4] => [1,4,2,5,3,6] => 2
[3,4,6,5,1,2] => [1,3,6,2,4,5] => [2,5,3,6,1,4] => [1,4,2,5,3,6] => 2
[3,4,6,5,2,1] => [1,3,6,2,4,5] => [2,5,3,6,1,4] => [1,4,2,5,3,6] => 2
[3,5,1,2,4,6] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [1,2,4,3,6,5] => 2
[3,5,1,2,6,4] => [1,3,2,5,6,4] => [2,4,3,1,5,6] => [1,5,6,2,4,3] => 2
[3,5,1,4,2,6] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [1,2,4,3,6,5] => 2
[3,5,1,4,6,2] => [1,3,2,5,6,4] => [2,4,3,1,5,6] => [1,5,6,2,4,3] => 2
[3,5,1,6,2,4] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [1,2,4,3,6,5] => 2
[3,5,1,6,4,2] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [1,2,4,3,6,5] => 2
[3,5,2,1,4,6] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [1,2,4,3,6,5] => 2
[3,5,2,1,6,4] => [1,3,2,5,6,4] => [2,4,3,1,5,6] => [1,5,6,2,4,3] => 2
[3,5,2,4,1,6] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [1,2,4,3,6,5] => 2
[3,5,2,4,6,1] => [1,3,2,5,6,4] => [2,4,3,1,5,6] => [1,5,6,2,4,3] => 2
[3,5,2,6,1,4] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [1,2,4,3,6,5] => 2
[3,5,2,6,4,1] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [1,2,4,3,6,5] => 2
[3,5,4,1,2,6] => [1,3,4,2,5,6] => [2,5,3,4,6,1] => [1,2,5,3,4,6] => 2
[3,5,4,1,6,2] => [1,3,4,2,5,6] => [2,5,3,4,6,1] => [1,2,5,3,4,6] => 2
[3,5,4,2,1,6] => [1,3,4,2,5,6] => [2,5,3,4,6,1] => [1,2,5,3,4,6] => 2
[3,5,4,2,6,1] => [1,3,4,2,5,6] => [2,5,3,4,6,1] => [1,2,5,3,4,6] => 2
[3,5,4,6,1,2] => [1,3,4,6,2,5] => [2,6,3,4,1,5] => [1,5,2,6,3,4] => 2
[3,5,4,6,2,1] => [1,3,4,6,2,5] => [2,6,3,4,1,5] => [1,5,2,6,3,4] => 2
[3,5,6,1,2,4] => [1,3,6,4,2,5] => [2,6,3,5,1,4] => [1,4,2,6,3,5] => 2
[3,5,6,1,4,2] => [1,3,6,2,5,4] => [2,5,3,1,6,4] => [1,6,2,5,3,4] => 2
[3,5,6,2,1,4] => [1,3,6,4,2,5] => [2,6,3,5,1,4] => [1,4,2,6,3,5] => 2
[3,5,6,2,4,1] => [1,3,6,2,5,4] => [2,5,3,1,6,4] => [1,6,2,5,3,4] => 2
[3,5,6,4,1,2] => [1,3,6,2,5,4] => [2,5,3,1,6,4] => [1,6,2,5,3,4] => 2
[3,5,6,4,2,1] => [1,3,6,2,5,4] => [2,5,3,1,6,4] => [1,6,2,5,3,4] => 2
[3,6,1,2,4,5] => [1,3,2,6,5,4] => [2,4,3,1,6,5] => [1,6,2,4,3,5] => 2
[3,6,1,2,5,4] => [1,3,2,6,4,5] => [2,4,3,6,1,5] => [1,5,2,4,3,6] => 2
[3,6,1,4,2,5] => [1,3,2,6,5,4] => [2,4,3,1,6,5] => [1,6,2,4,3,5] => 2
[3,6,1,4,5,2] => [1,3,2,6,4,5] => [2,4,3,6,1,5] => [1,5,2,4,3,6] => 2
[3,6,1,5,2,4] => [1,3,2,6,4,5] => [2,4,3,6,1,5] => [1,5,2,4,3,6] => 2
[3,6,1,5,4,2] => [1,3,2,6,4,5] => [2,4,3,6,1,5] => [1,5,2,4,3,6] => 2
[3,6,2,1,4,5] => [1,3,2,6,5,4] => [2,4,3,1,6,5] => [1,6,2,4,3,5] => 2
[3,6,2,1,5,4] => [1,3,2,6,4,5] => [2,4,3,6,1,5] => [1,5,2,4,3,6] => 2
[3,6,2,4,1,5] => [1,3,2,6,5,4] => [2,4,3,1,6,5] => [1,6,2,4,3,5] => 2
[3,6,2,4,5,1] => [1,3,2,6,4,5] => [2,4,3,6,1,5] => [1,5,2,4,3,6] => 2
[3,6,2,5,1,4] => [1,3,2,6,4,5] => [2,4,3,6,1,5] => [1,5,2,4,3,6] => 2
[3,6,2,5,4,1] => [1,3,2,6,4,5] => [2,4,3,6,1,5] => [1,5,2,4,3,6] => 2
[3,6,4,1,2,5] => [1,3,4,2,6,5] => [2,5,3,4,1,6] => [1,6,2,5,3,4] => 2
[3,6,4,1,5,2] => [1,3,4,2,6,5] => [2,5,3,4,1,6] => [1,6,2,5,3,4] => 2
[3,6,4,2,1,5] => [1,3,4,2,6,5] => [2,5,3,4,1,6] => [1,6,2,5,3,4] => 2
[3,6,4,2,5,1] => [1,3,4,2,6,5] => [2,5,3,4,1,6] => [1,6,2,5,3,4] => 2
[3,6,4,5,1,2] => [1,3,4,5,2,6] => [2,6,3,4,5,1] => [1,2,6,3,4,5] => 2
[3,6,4,5,2,1] => [1,3,4,5,2,6] => [2,6,3,4,5,1] => [1,2,6,3,4,5] => 2
[3,6,5,1,2,4] => [1,3,5,2,6,4] => [2,5,3,1,4,6] => [1,4,6,2,5,3] => 3
[3,6,5,1,4,2] => [1,3,5,4,2,6] => [2,6,3,5,4,1] => [1,2,6,3,5,4] => 2
[3,6,5,2,1,4] => [1,3,5,2,6,4] => [2,5,3,1,4,6] => [1,4,6,2,5,3] => 3
[3,6,5,2,4,1] => [1,3,5,4,2,6] => [2,6,3,5,4,1] => [1,2,6,3,5,4] => 2
[3,6,5,4,1,2] => [1,3,5,2,6,4] => [2,5,3,1,4,6] => [1,4,6,2,5,3] => 3
[3,6,5,4,2,1] => [1,3,5,2,6,4] => [2,5,3,1,4,6] => [1,4,6,2,5,3] => 3
[4,1,2,3,5,6] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [1,2,5,3,6,4] => 2
[4,1,2,3,6,5] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [1,2,5,3,6,4] => 2
[4,1,2,5,3,6] => [1,4,5,3,2,6] => [2,6,5,3,4,1] => [1,2,6,3,4,5] => 2
[4,1,2,5,6,3] => [1,4,5,6,3,2] => [2,1,6,3,4,5] => [1,6,2,3,4,5] => 2
[4,1,2,6,3,5] => [1,4,6,5,3,2] => [2,1,6,3,5,4] => [1,6,2,3,5,4] => 2
[4,1,2,6,5,3] => [1,4,6,3,2,5] => [2,6,5,3,1,4] => [1,4,2,6,3,5] => 2
[4,1,3,2,5,6] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,1,3,2,6,5] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,1,3,5,2,6] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [1,2,5,6,3,4] => 2
[4,1,3,5,6,2] => [1,4,5,6,2,3] => [2,6,1,3,4,5] => [1,3,4,5,2,6] => 2
[4,1,3,6,2,5] => [1,4,6,5,2,3] => [2,6,1,3,5,4] => [1,3,5,2,6,4] => 2
[4,1,3,6,5,2] => [1,4,6,2,3,5] => [2,5,6,3,1,4] => [1,4,2,5,6,3] => 2
[4,1,5,2,3,6] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,1,5,2,6,3] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,1,5,3,2,6] => [1,4,3,5,2,6] => [2,6,4,3,5,1] => [1,2,6,3,5,4] => 2
[4,1,5,3,6,2] => [1,4,3,5,6,2] => [2,1,4,3,5,6] => [1,4,2,3,5,6] => 2
[4,1,5,6,2,3] => [1,4,6,3,5,2] => [2,1,5,3,6,4] => [1,5,2,3,6,4] => 2
[4,1,5,6,3,2] => [1,4,6,2,3,5] => [2,5,6,3,1,4] => [1,4,2,5,6,3] => 2
[4,1,6,2,3,5] => [1,4,2,3,6,5] => [2,4,5,3,1,6] => [1,6,2,4,5,3] => 2
[4,1,6,2,5,3] => [1,4,2,3,6,5] => [2,4,5,3,1,6] => [1,6,2,4,5,3] => 2
[4,1,6,3,2,5] => [1,4,3,6,5,2] => [2,1,4,3,6,5] => [1,4,2,3,6,5] => 2
[4,1,6,3,5,2] => [1,4,3,6,2,5] => [2,6,4,3,1,5] => [1,5,2,6,3,4] => 2
[4,1,6,5,2,3] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [1,2,5,6,3,4] => 2
[4,1,6,5,3,2] => [1,4,5,3,6,2] => [2,1,5,3,4,6] => [1,5,2,3,4,6] => 2
[4,2,1,3,5,6] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [1,2,5,3,6,4] => 2
[4,2,1,3,6,5] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [1,2,5,3,6,4] => 2
[4,2,1,5,3,6] => [1,4,5,3,2,6] => [2,6,5,3,4,1] => [1,2,6,3,4,5] => 2
[4,2,1,5,6,3] => [1,4,5,6,3,2] => [2,1,6,3,4,5] => [1,6,2,3,4,5] => 2
[4,2,1,6,3,5] => [1,4,6,5,3,2] => [2,1,6,3,5,4] => [1,6,2,3,5,4] => 2
[4,2,1,6,5,3] => [1,4,6,3,2,5] => [2,6,5,3,1,4] => [1,4,2,6,3,5] => 2
[4,2,3,1,5,6] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,2,3,1,6,5] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,2,3,5,1,6] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [1,2,5,6,3,4] => 2
[4,2,3,5,6,1] => [1,4,5,6,2,3] => [2,6,1,3,4,5] => [1,3,4,5,2,6] => 2
[4,2,3,6,1,5] => [1,4,6,5,2,3] => [2,6,1,3,5,4] => [1,3,5,2,6,4] => 2
[4,2,3,6,5,1] => [1,4,6,2,3,5] => [2,5,6,3,1,4] => [1,4,2,5,6,3] => 2
[4,2,5,1,3,6] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,2,5,1,6,3] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,2,5,3,1,6] => [1,4,3,5,2,6] => [2,6,4,3,5,1] => [1,2,6,3,5,4] => 2
[4,2,5,3,6,1] => [1,4,3,5,6,2] => [2,1,4,3,5,6] => [1,4,2,3,5,6] => 2
[4,2,5,6,1,3] => [1,4,6,3,5,2] => [2,1,5,3,6,4] => [1,5,2,3,6,4] => 2
[4,2,5,6,3,1] => [1,4,6,2,3,5] => [2,5,6,3,1,4] => [1,4,2,5,6,3] => 2
[4,2,6,1,3,5] => [1,4,2,3,6,5] => [2,4,5,3,1,6] => [1,6,2,4,5,3] => 2
[4,2,6,1,5,3] => [1,4,2,3,6,5] => [2,4,5,3,1,6] => [1,6,2,4,5,3] => 2
[4,2,6,3,1,5] => [1,4,3,6,5,2] => [2,1,4,3,6,5] => [1,4,2,3,6,5] => 2
[4,2,6,3,5,1] => [1,4,3,6,2,5] => [2,6,4,3,1,5] => [1,5,2,6,3,4] => 2
[4,2,6,5,1,3] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [1,2,5,6,3,4] => 2
[4,2,6,5,3,1] => [1,4,5,3,6,2] => [2,1,5,3,4,6] => [1,5,2,3,4,6] => 2
[4,3,1,2,5,6] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,3,1,2,6,5] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,3,1,5,2,6] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [1,2,5,6,3,4] => 2
[4,3,1,5,6,2] => [1,4,5,6,2,3] => [2,6,1,3,4,5] => [1,3,4,5,2,6] => 2
[4,3,1,6,2,5] => [1,4,6,5,2,3] => [2,6,1,3,5,4] => [1,3,5,2,6,4] => 2
[4,3,1,6,5,2] => [1,4,6,2,3,5] => [2,5,6,3,1,4] => [1,4,2,5,6,3] => 2
[4,3,2,1,5,6] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,3,2,1,6,5] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,3,2,5,1,6] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [1,2,5,6,3,4] => 2
[4,3,2,5,6,1] => [1,4,5,6,2,3] => [2,6,1,3,4,5] => [1,3,4,5,2,6] => 2
[4,3,2,6,1,5] => [1,4,6,5,2,3] => [2,6,1,3,5,4] => [1,3,5,2,6,4] => 2
[4,3,2,6,5,1] => [1,4,6,2,3,5] => [2,5,6,3,1,4] => [1,4,2,5,6,3] => 2
[4,3,5,1,2,6] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,3,5,1,6,2] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,3,5,2,1,6] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,3,5,2,6,1] => [1,4,2,3,5,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => 2
[4,3,5,6,1,2] => [1,4,6,2,3,5] => [2,5,6,3,1,4] => [1,4,2,5,6,3] => 2
[4,3,5,6,2,1] => [1,4,6,2,3,5] => [2,5,6,3,1,4] => [1,4,2,5,6,3] => 2
[4,3,6,1,2,5] => [1,4,2,3,6,5] => [2,4,5,3,1,6] => [1,6,2,4,5,3] => 2
[4,3,6,1,5,2] => [1,4,2,3,6,5] => [2,4,5,3,1,6] => [1,6,2,4,5,3] => 2
[4,3,6,2,1,5] => [1,4,2,3,6,5] => [2,4,5,3,1,6] => [1,6,2,4,5,3] => 2
[4,3,6,2,5,1] => [1,4,2,3,6,5] => [2,4,5,3,1,6] => [1,6,2,4,5,3] => 2
[4,3,6,5,1,2] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [1,2,5,6,3,4] => 2
[4,3,6,5,2,1] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [1,2,5,6,3,4] => 2
[4,5,1,2,3,6] => [1,4,2,5,3,6] => [2,4,6,3,5,1] => [1,2,4,6,3,5] => 2
[4,5,1,2,6,3] => [1,4,2,5,6,3] => [2,4,1,3,5,6] => [1,3,5,6,2,4] => 2
[4,5,1,3,2,6] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [1,2,5,3,6,4] => 2
[4,5,1,3,6,2] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [1,2,5,3,6,4] => 2
[4,5,1,6,2,3] => [1,4,6,3,2,5] => [2,6,5,3,1,4] => [1,4,2,6,3,5] => 2
[4,5,1,6,3,2] => [1,4,6,2,5,3] => [2,5,1,3,6,4] => [1,3,6,2,5,4] => 3
[4,5,2,1,3,6] => [1,4,2,5,3,6] => [2,4,6,3,5,1] => [1,2,4,6,3,5] => 2
[4,5,2,1,6,3] => [1,4,2,5,6,3] => [2,4,1,3,5,6] => [1,3,5,6,2,4] => 2
[4,5,2,3,1,6] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [1,2,5,3,6,4] => 2
[4,5,2,3,6,1] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [1,2,5,3,6,4] => 2
[4,5,2,6,1,3] => [1,4,6,3,2,5] => [2,6,5,3,1,4] => [1,4,2,6,3,5] => 2
[4,5,2,6,3,1] => [1,4,6,2,5,3] => [2,5,1,3,6,4] => [1,3,6,2,5,4] => 3
[4,5,3,1,2,6] => [1,4,2,5,3,6] => [2,4,6,3,5,1] => [1,2,4,6,3,5] => 2
[4,5,3,1,6,2] => [1,4,2,5,6,3] => [2,4,1,3,5,6] => [1,3,5,6,2,4] => 2
[4,5,3,2,1,6] => [1,4,2,5,3,6] => [2,4,6,3,5,1] => [1,2,4,6,3,5] => 2
[4,5,3,2,6,1] => [1,4,2,5,6,3] => [2,4,1,3,5,6] => [1,3,5,6,2,4] => 2
[4,5,3,6,1,2] => [1,4,6,2,5,3] => [2,5,1,3,6,4] => [1,3,6,2,5,4] => 3
[4,5,3,6,2,1] => [1,4,6,2,5,3] => [2,5,1,3,6,4] => [1,3,6,2,5,4] => 3
[4,5,6,1,2,3] => [1,4,2,5,3,6] => [2,4,6,3,5,1] => [1,2,4,6,3,5] => 2
[4,5,6,1,3,2] => [1,4,2,5,3,6] => [2,4,6,3,5,1] => [1,2,4,6,3,5] => 2
[4,5,6,2,1,3] => [1,4,2,5,3,6] => [2,4,6,3,5,1] => [1,2,4,6,3,5] => 2
[4,5,6,2,3,1] => [1,4,2,5,3,6] => [2,4,6,3,5,1] => [1,2,4,6,3,5] => 2
[4,5,6,3,1,2] => [1,4,3,6,2,5] => [2,6,4,3,1,5] => [1,5,2,6,3,4] => 2
[4,5,6,3,2,1] => [1,4,3,6,2,5] => [2,6,4,3,1,5] => [1,5,2,6,3,4] => 2
[4,6,1,2,3,5] => [1,4,2,6,5,3] => [2,4,1,3,6,5] => [1,3,6,2,4,5] => 2
[4,6,1,2,5,3] => [1,4,2,6,3,5] => [2,4,6,3,1,5] => [1,5,2,4,6,3] => 3
[4,6,1,3,2,5] => [1,4,3,2,6,5] => [2,5,4,3,1,6] => [1,6,2,5,3,4] => 2
[4,6,1,3,5,2] => [1,4,3,2,6,5] => [2,5,4,3,1,6] => [1,6,2,5,3,4] => 2
[4,6,1,5,2,3] => [1,4,5,2,6,3] => [2,5,1,3,4,6] => [1,3,4,6,2,5] => 2
[4,6,1,5,3,2] => [1,4,5,3,2,6] => [2,6,5,3,4,1] => [1,2,6,3,4,5] => 2
[4,6,2,1,3,5] => [1,4,2,6,5,3] => [2,4,1,3,6,5] => [1,3,6,2,4,5] => 2
[4,6,2,1,5,3] => [1,4,2,6,3,5] => [2,4,6,3,1,5] => [1,5,2,4,6,3] => 3
[4,6,2,3,1,5] => [1,4,3,2,6,5] => [2,5,4,3,1,6] => [1,6,2,5,3,4] => 2
[4,6,2,3,5,1] => [1,4,3,2,6,5] => [2,5,4,3,1,6] => [1,6,2,5,3,4] => 2
[4,6,2,5,1,3] => [1,4,5,2,6,3] => [2,5,1,3,4,6] => [1,3,4,6,2,5] => 2
[4,6,2,5,3,1] => [1,4,5,3,2,6] => [2,6,5,3,4,1] => [1,2,6,3,4,5] => 2
[4,6,3,1,2,5] => [1,4,2,6,5,3] => [2,4,1,3,6,5] => [1,3,6,2,4,5] => 2
[4,6,3,1,5,2] => [1,4,2,6,3,5] => [2,4,6,3,1,5] => [1,5,2,4,6,3] => 3
[4,6,3,2,1,5] => [1,4,2,6,5,3] => [2,4,1,3,6,5] => [1,3,6,2,4,5] => 2
[4,6,3,2,5,1] => [1,4,2,6,3,5] => [2,4,6,3,1,5] => [1,5,2,4,6,3] => 3
[4,6,3,5,1,2] => [1,4,5,2,6,3] => [2,5,1,3,4,6] => [1,3,4,6,2,5] => 2
[4,6,3,5,2,1] => [1,4,5,2,6,3] => [2,5,1,3,4,6] => [1,3,4,6,2,5] => 2
[4,6,5,1,2,3] => [1,4,2,6,3,5] => [2,4,6,3,1,5] => [1,5,2,4,6,3] => 3
[4,6,5,1,3,2] => [1,4,2,6,3,5] => [2,4,6,3,1,5] => [1,5,2,4,6,3] => 3
[4,6,5,2,1,3] => [1,4,2,6,3,5] => [2,4,6,3,1,5] => [1,5,2,4,6,3] => 3
[4,6,5,2,3,1] => [1,4,2,6,3,5] => [2,4,6,3,1,5] => [1,5,2,4,6,3] => 3
[4,6,5,3,1,2] => [1,4,3,5,2,6] => [2,6,4,3,5,1] => [1,2,6,3,5,4] => 2
[4,6,5,3,2,1] => [1,4,3,5,2,6] => [2,6,4,3,5,1] => [1,2,6,3,5,4] => 2
[5,1,2,3,4,6] => [1,5,4,3,2,6] => [2,6,5,4,3,1] => [1,2,6,3,4,5] => 2
[5,1,2,3,6,4] => [1,5,6,4,3,2] => [2,1,6,5,3,4] => [1,6,2,3,4,5] => 2
[5,1,2,4,3,6] => [1,5,3,2,4,6] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 2
[5,1,2,4,6,3] => [1,5,6,3,2,4] => [2,6,5,1,3,4] => [1,3,4,2,6,5] => 2
[5,1,2,6,3,4] => [1,5,3,2,4,6] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 2
[5,1,2,6,4,3] => [1,5,4,6,3,2] => [2,1,6,4,3,5] => [1,6,2,3,5,4] => 2
[5,1,3,2,4,6] => [1,5,4,2,3,6] => [2,5,6,4,3,1] => [1,2,5,6,3,4] => 2
[5,1,3,2,6,4] => [1,5,6,4,2,3] => [2,6,1,5,3,4] => [1,5,2,6,3,4] => 2
[5,1,3,4,2,6] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,1,3,4,6,2] => [1,5,6,2,3,4] => [2,5,6,1,3,4] => [1,3,4,2,5,6] => 2
[5,1,3,6,2,4] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,1,3,6,4,2] => [1,5,4,6,2,3] => [2,6,1,4,3,5] => [1,4,2,6,3,5] => 2
[5,1,4,2,3,6] => [1,5,3,4,2,6] => [2,6,4,5,3,1] => [1,2,6,3,4,5] => 2
[5,1,4,2,6,3] => [1,5,6,3,4,2] => [2,1,5,6,3,4] => [1,5,6,2,3,4] => 2
[5,1,4,3,2,6] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,1,4,3,6,2] => [1,5,6,2,3,4] => [2,5,6,1,3,4] => [1,3,4,2,5,6] => 2
[5,1,4,6,2,3] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,1,4,6,3,2] => [1,5,3,4,6,2] => [2,1,4,5,3,6] => [1,4,5,2,3,6] => 2
[5,1,6,2,3,4] => [1,5,3,6,4,2] => [2,1,4,6,3,5] => [1,4,6,2,3,5] => 2
[5,1,6,2,4,3] => [1,5,4,2,3,6] => [2,5,6,4,3,1] => [1,2,5,6,3,4] => 2
[5,1,6,3,2,4] => [1,5,2,3,6,4] => [2,4,5,1,3,6] => [1,3,6,2,4,5] => 2
[5,1,6,3,4,2] => [1,5,4,3,6,2] => [2,1,5,4,3,6] => [1,5,2,3,6,4] => 2
[5,1,6,4,2,3] => [1,5,2,3,6,4] => [2,4,5,1,3,6] => [1,3,6,2,4,5] => 2
[5,1,6,4,3,2] => [1,5,3,6,2,4] => [2,6,4,1,3,5] => [1,3,5,2,6,4] => 2
[5,2,1,3,4,6] => [1,5,4,3,2,6] => [2,6,5,4,3,1] => [1,2,6,3,4,5] => 2
[5,2,1,3,6,4] => [1,5,6,4,3,2] => [2,1,6,5,3,4] => [1,6,2,3,4,5] => 2
[5,2,1,4,3,6] => [1,5,3,2,4,6] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 2
[5,2,1,4,6,3] => [1,5,6,3,2,4] => [2,6,5,1,3,4] => [1,3,4,2,6,5] => 2
[5,2,1,6,3,4] => [1,5,3,2,4,6] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 2
[5,2,1,6,4,3] => [1,5,4,6,3,2] => [2,1,6,4,3,5] => [1,6,2,3,5,4] => 2
[5,2,3,1,4,6] => [1,5,4,2,3,6] => [2,5,6,4,3,1] => [1,2,5,6,3,4] => 2
[5,2,3,1,6,4] => [1,5,6,4,2,3] => [2,6,1,5,3,4] => [1,5,2,6,3,4] => 2
[5,2,3,4,1,6] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,2,3,4,6,1] => [1,5,6,2,3,4] => [2,5,6,1,3,4] => [1,3,4,2,5,6] => 2
[5,2,3,6,1,4] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,2,3,6,4,1] => [1,5,4,6,2,3] => [2,6,1,4,3,5] => [1,4,2,6,3,5] => 2
[5,2,4,1,3,6] => [1,5,3,4,2,6] => [2,6,4,5,3,1] => [1,2,6,3,4,5] => 2
[5,2,4,1,6,3] => [1,5,6,3,4,2] => [2,1,5,6,3,4] => [1,5,6,2,3,4] => 2
[5,2,4,3,1,6] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,2,4,3,6,1] => [1,5,6,2,3,4] => [2,5,6,1,3,4] => [1,3,4,2,5,6] => 2
[5,2,4,6,1,3] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,2,4,6,3,1] => [1,5,3,4,6,2] => [2,1,4,5,3,6] => [1,4,5,2,3,6] => 2
[5,2,6,1,3,4] => [1,5,3,6,4,2] => [2,1,4,6,3,5] => [1,4,6,2,3,5] => 2
[5,2,6,1,4,3] => [1,5,4,2,3,6] => [2,5,6,4,3,1] => [1,2,5,6,3,4] => 2
[5,2,6,3,1,4] => [1,5,2,3,6,4] => [2,4,5,1,3,6] => [1,3,6,2,4,5] => 2
[5,2,6,3,4,1] => [1,5,4,3,6,2] => [2,1,5,4,3,6] => [1,5,2,3,6,4] => 2
[5,2,6,4,1,3] => [1,5,2,3,6,4] => [2,4,5,1,3,6] => [1,3,6,2,4,5] => 2
[5,2,6,4,3,1] => [1,5,3,6,2,4] => [2,6,4,1,3,5] => [1,3,5,2,6,4] => 2
[5,3,1,2,4,6] => [1,5,4,2,3,6] => [2,5,6,4,3,1] => [1,2,5,6,3,4] => 2
[5,3,1,2,6,4] => [1,5,6,4,2,3] => [2,6,1,5,3,4] => [1,5,2,6,3,4] => 2
[5,3,1,4,2,6] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,3,1,4,6,2] => [1,5,6,2,3,4] => [2,5,6,1,3,4] => [1,3,4,2,5,6] => 2
[5,3,1,6,2,4] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,3,1,6,4,2] => [1,5,4,6,2,3] => [2,6,1,4,3,5] => [1,4,2,6,3,5] => 2
[5,3,2,1,4,6] => [1,5,4,2,3,6] => [2,5,6,4,3,1] => [1,2,5,6,3,4] => 2
[5,3,2,1,6,4] => [1,5,6,4,2,3] => [2,6,1,5,3,4] => [1,5,2,6,3,4] => 2
[5,3,2,4,1,6] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,3,2,4,6,1] => [1,5,6,2,3,4] => [2,5,6,1,3,4] => [1,3,4,2,5,6] => 2
[5,3,2,6,1,4] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,3,2,6,4,1] => [1,5,4,6,2,3] => [2,6,1,4,3,5] => [1,4,2,6,3,5] => 2
[5,3,4,1,2,6] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,3,4,1,6,2] => [1,5,6,2,3,4] => [2,5,6,1,3,4] => [1,3,4,2,5,6] => 2
[5,3,4,2,1,6] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,3,4,2,6,1] => [1,5,6,2,3,4] => [2,5,6,1,3,4] => [1,3,4,2,5,6] => 2
[5,3,4,6,1,2] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,3,4,6,2,1] => [1,5,2,3,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => 2
[5,3,6,1,2,4] => [1,5,2,3,6,4] => [2,4,5,1,3,6] => [1,3,6,2,4,5] => 2
[5,3,6,1,4,2] => [1,5,4,2,3,6] => [2,5,6,4,3,1] => [1,2,5,6,3,4] => 2
[5,3,6,2,1,4] => [1,5,2,3,6,4] => [2,4,5,1,3,6] => [1,3,6,2,4,5] => 2
[5,3,6,2,4,1] => [1,5,4,2,3,6] => [2,5,6,4,3,1] => [1,2,5,6,3,4] => 2
[5,3,6,4,1,2] => [1,5,2,3,6,4] => [2,4,5,1,3,6] => [1,3,6,2,4,5] => 2
[5,3,6,4,2,1] => [1,5,2,3,6,4] => [2,4,5,1,3,6] => [1,3,6,2,4,5] => 2
[5,4,1,2,3,6] => [1,5,3,2,4,6] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 2
[5,4,1,2,6,3] => [1,5,6,3,2,4] => [2,6,5,1,3,4] => [1,3,4,2,6,5] => 2
[5,4,1,3,2,6] => [1,5,2,4,3,6] => [2,4,6,5,3,1] => [1,2,4,6,3,5] => 2
[5,4,1,3,6,2] => [1,5,6,2,4,3] => [2,5,1,6,3,4] => [1,6,2,5,3,4] => 2
[5,4,1,6,2,3] => [1,5,2,4,6,3] => [2,4,1,5,3,6] => [1,5,2,4,3,6] => 2
[5,4,1,6,3,2] => [1,5,3,2,4,6] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 2
[5,4,2,1,3,6] => [1,5,3,2,4,6] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 2
[5,4,2,1,6,3] => [1,5,6,3,2,4] => [2,6,5,1,3,4] => [1,3,4,2,6,5] => 2
[5,4,2,3,1,6] => [1,5,2,4,3,6] => [2,4,6,5,3,1] => [1,2,4,6,3,5] => 2
[5,4,2,3,6,1] => [1,5,6,2,4,3] => [2,5,1,6,3,4] => [1,6,2,5,3,4] => 2
[5,4,2,6,1,3] => [1,5,2,4,6,3] => [2,4,1,5,3,6] => [1,5,2,4,3,6] => 2
[5,4,2,6,3,1] => [1,5,3,2,4,6] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 2
[5,4,3,1,2,6] => [1,5,2,4,3,6] => [2,4,6,5,3,1] => [1,2,4,6,3,5] => 2
[5,4,3,1,6,2] => [1,5,6,2,4,3] => [2,5,1,6,3,4] => [1,6,2,5,3,4] => 2
[5,4,3,2,1,6] => [1,5,2,4,3,6] => [2,4,6,5,3,1] => [1,2,4,6,3,5] => 2
[5,4,3,2,6,1] => [1,5,6,2,4,3] => [2,5,1,6,3,4] => [1,6,2,5,3,4] => 2
[5,4,3,6,1,2] => [1,5,2,4,6,3] => [2,4,1,5,3,6] => [1,5,2,4,3,6] => 2
[5,4,3,6,2,1] => [1,5,2,4,6,3] => [2,4,1,5,3,6] => [1,5,2,4,3,6] => 2
[5,4,6,1,2,3] => [1,5,2,4,3,6] => [2,4,6,5,3,1] => [1,2,4,6,3,5] => 2
[5,4,6,1,3,2] => [1,5,3,6,2,4] => [2,6,4,1,3,5] => [1,3,5,2,6,4] => 2
[5,4,6,2,1,3] => [1,5,2,4,3,6] => [2,4,6,5,3,1] => [1,2,4,6,3,5] => 2
[5,4,6,2,3,1] => [1,5,3,6,2,4] => [2,6,4,1,3,5] => [1,3,5,2,6,4] => 2
[5,4,6,3,1,2] => [1,5,2,4,3,6] => [2,4,6,5,3,1] => [1,2,4,6,3,5] => 2
[5,4,6,3,2,1] => [1,5,2,4,3,6] => [2,4,6,5,3,1] => [1,2,4,6,3,5] => 2
[5,6,1,2,3,4] => [1,5,3,2,6,4] => [2,5,4,1,3,6] => [1,3,6,2,5,4] => 3
[5,6,1,2,4,3] => [1,5,4,2,6,3] => [2,5,1,4,3,6] => [1,4,2,5,3,6] => 2
[5,6,1,3,2,4] => [1,5,2,6,4,3] => [2,4,1,6,3,5] => [1,6,2,4,3,5] => 2
[5,6,1,3,4,2] => [1,5,4,3,2,6] => [2,6,5,4,3,1] => [1,2,6,3,4,5] => 2
[5,6,1,4,2,3] => [1,5,2,6,3,4] => [2,4,6,1,3,5] => [1,3,5,2,4,6] => 2
[5,6,1,4,3,2] => [1,5,3,2,6,4] => [2,5,4,1,3,6] => [1,3,6,2,5,4] => 3
[5,6,2,1,3,4] => [1,5,3,2,6,4] => [2,5,4,1,3,6] => [1,3,6,2,5,4] => 3
[5,6,2,1,4,3] => [1,5,4,2,6,3] => [2,5,1,4,3,6] => [1,4,2,5,3,6] => 2
[5,6,2,3,1,4] => [1,5,2,6,4,3] => [2,4,1,6,3,5] => [1,6,2,4,3,5] => 2
[5,6,2,3,4,1] => [1,5,4,3,2,6] => [2,6,5,4,3,1] => [1,2,6,3,4,5] => 2
[5,6,2,4,1,3] => [1,5,2,6,3,4] => [2,4,6,1,3,5] => [1,3,5,2,4,6] => 2
[5,6,2,4,3,1] => [1,5,3,2,6,4] => [2,5,4,1,3,6] => [1,3,6,2,5,4] => 3
[5,6,3,1,2,4] => [1,5,2,6,4,3] => [2,4,1,6,3,5] => [1,6,2,4,3,5] => 2
[5,6,3,1,4,2] => [1,5,4,2,6,3] => [2,5,1,4,3,6] => [1,4,2,5,3,6] => 2
[5,6,3,2,1,4] => [1,5,2,6,4,3] => [2,4,1,6,3,5] => [1,6,2,4,3,5] => 2
[5,6,3,2,4,1] => [1,5,4,2,6,3] => [2,5,1,4,3,6] => [1,4,2,5,3,6] => 2
[5,6,3,4,1,2] => [1,5,2,6,3,4] => [2,4,6,1,3,5] => [1,3,5,2,4,6] => 2
[5,6,3,4,2,1] => [1,5,2,6,3,4] => [2,4,6,1,3,5] => [1,3,5,2,4,6] => 2
[5,6,4,1,2,3] => [1,5,2,6,3,4] => [2,4,6,1,3,5] => [1,3,5,2,4,6] => 2
[5,6,4,1,3,2] => [1,5,3,4,2,6] => [2,6,4,5,3,1] => [1,2,6,3,4,5] => 2
[5,6,4,2,1,3] => [1,5,2,6,3,4] => [2,4,6,1,3,5] => [1,3,5,2,4,6] => 2
[5,6,4,2,3,1] => [1,5,3,4,2,6] => [2,6,4,5,3,1] => [1,2,6,3,4,5] => 2
[5,6,4,3,1,2] => [1,5,2,6,3,4] => [2,4,6,1,3,5] => [1,3,5,2,4,6] => 2
[5,6,4,3,2,1] => [1,5,2,6,3,4] => [2,4,6,1,3,5] => [1,3,5,2,4,6] => 2
[6,1,2,3,4,5] => [1,6,5,4,3,2] => [2,1,6,5,4,3] => [1,6,2,3,4,5] => 2
[6,1,2,3,5,4] => [1,6,4,3,2,5] => [2,6,5,4,1,3] => [1,3,2,6,4,5] => 2
[6,1,2,4,3,5] => [1,6,5,3,2,4] => [2,6,5,1,4,3] => [1,4,2,6,3,5] => 2
[6,1,2,4,5,3] => [1,6,3,2,4,5] => [2,5,4,6,1,3] => [1,3,2,5,4,6] => 2
[6,1,2,5,3,4] => [1,6,4,5,3,2] => [2,1,6,4,5,3] => [1,6,2,3,4,5] => 2
[6,1,2,5,4,3] => [1,6,3,2,4,5] => [2,5,4,6,1,3] => [1,3,2,5,4,6] => 2
[6,1,3,2,4,5] => [1,6,5,4,2,3] => [2,6,1,5,4,3] => [1,5,2,6,3,4] => 2
[6,1,3,2,5,4] => [1,6,4,2,3,5] => [2,5,6,4,1,3] => [1,3,2,5,6,4] => 2
[6,1,3,4,2,5] => [1,6,5,2,3,4] => [2,5,6,1,4,3] => [1,4,2,5,6,3] => 2
[6,1,3,4,5,2] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,1,3,5,2,4] => [1,6,4,5,2,3] => [2,6,1,4,5,3] => [1,4,5,2,6,3] => 2
[6,1,3,5,4,2] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,1,4,2,3,5] => [1,6,5,3,4,2] => [2,1,5,6,4,3] => [1,5,6,2,3,4] => 2
[6,1,4,2,5,3] => [1,6,3,4,2,5] => [2,6,4,5,1,3] => [1,3,2,6,4,5] => 2
[6,1,4,3,2,5] => [1,6,5,2,3,4] => [2,5,6,1,4,3] => [1,4,2,5,6,3] => 2
[6,1,4,3,5,2] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,1,4,5,2,3] => [1,6,3,4,5,2] => [2,1,4,5,6,3] => [1,4,5,6,2,3] => 2
[6,1,4,5,3,2] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,1,5,2,3,4] => [1,6,4,2,3,5] => [2,5,6,4,1,3] => [1,3,2,5,6,4] => 2
[6,1,5,2,4,3] => [1,6,3,5,4,2] => [2,1,4,6,5,3] => [1,4,6,2,3,5] => 2
[6,1,5,3,2,4] => [1,6,4,3,5,2] => [2,1,5,4,6,3] => [1,5,2,3,4,6] => 2
[6,1,5,3,4,2] => [1,6,2,3,5,4] => [2,4,5,1,6,3] => [1,6,2,4,5,3] => 2
[6,1,5,4,2,3] => [1,6,3,5,2,4] => [2,6,4,1,5,3] => [1,5,2,6,3,4] => 2
[6,1,5,4,3,2] => [1,6,2,3,5,4] => [2,4,5,1,6,3] => [1,6,2,4,5,3] => 2
[6,2,1,3,4,5] => [1,6,5,4,3,2] => [2,1,6,5,4,3] => [1,6,2,3,4,5] => 2
[6,2,1,3,5,4] => [1,6,4,3,2,5] => [2,6,5,4,1,3] => [1,3,2,6,4,5] => 2
[6,2,1,4,3,5] => [1,6,5,3,2,4] => [2,6,5,1,4,3] => [1,4,2,6,3,5] => 2
[6,2,1,4,5,3] => [1,6,3,2,4,5] => [2,5,4,6,1,3] => [1,3,2,5,4,6] => 2
[6,2,1,5,3,4] => [1,6,4,5,3,2] => [2,1,6,4,5,3] => [1,6,2,3,4,5] => 2
[6,2,1,5,4,3] => [1,6,3,2,4,5] => [2,5,4,6,1,3] => [1,3,2,5,4,6] => 2
[6,2,3,1,4,5] => [1,6,5,4,2,3] => [2,6,1,5,4,3] => [1,5,2,6,3,4] => 2
[6,2,3,1,5,4] => [1,6,4,2,3,5] => [2,5,6,4,1,3] => [1,3,2,5,6,4] => 2
[6,2,3,4,1,5] => [1,6,5,2,3,4] => [2,5,6,1,4,3] => [1,4,2,5,6,3] => 2
[6,2,3,4,5,1] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,2,3,5,1,4] => [1,6,4,5,2,3] => [2,6,1,4,5,3] => [1,4,5,2,6,3] => 2
[6,2,3,5,4,1] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,2,4,1,3,5] => [1,6,5,3,4,2] => [2,1,5,6,4,3] => [1,5,6,2,3,4] => 2
[6,2,4,1,5,3] => [1,6,3,4,2,5] => [2,6,4,5,1,3] => [1,3,2,6,4,5] => 2
[6,2,4,3,1,5] => [1,6,5,2,3,4] => [2,5,6,1,4,3] => [1,4,2,5,6,3] => 2
[6,2,4,3,5,1] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,2,4,5,1,3] => [1,6,3,4,5,2] => [2,1,4,5,6,3] => [1,4,5,6,2,3] => 2
[6,2,4,5,3,1] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,2,5,1,3,4] => [1,6,4,2,3,5] => [2,5,6,4,1,3] => [1,3,2,5,6,4] => 2
[6,2,5,1,4,3] => [1,6,3,5,4,2] => [2,1,4,6,5,3] => [1,4,6,2,3,5] => 2
[6,2,5,3,1,4] => [1,6,4,3,5,2] => [2,1,5,4,6,3] => [1,5,2,3,4,6] => 2
[6,2,5,3,4,1] => [1,6,2,3,5,4] => [2,4,5,1,6,3] => [1,6,2,4,5,3] => 2
[6,2,5,4,1,3] => [1,6,3,5,2,4] => [2,6,4,1,5,3] => [1,5,2,6,3,4] => 2
[6,2,5,4,3,1] => [1,6,2,3,5,4] => [2,4,5,1,6,3] => [1,6,2,4,5,3] => 2
[6,3,1,2,4,5] => [1,6,5,4,2,3] => [2,6,1,5,4,3] => [1,5,2,6,3,4] => 2
[6,3,1,2,5,4] => [1,6,4,2,3,5] => [2,5,6,4,1,3] => [1,3,2,5,6,4] => 2
[6,3,1,4,2,5] => [1,6,5,2,3,4] => [2,5,6,1,4,3] => [1,4,2,5,6,3] => 2
[6,3,1,4,5,2] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,3,1,5,2,4] => [1,6,4,5,2,3] => [2,6,1,4,5,3] => [1,4,5,2,6,3] => 2
[6,3,1,5,4,2] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,3,2,1,4,5] => [1,6,5,4,2,3] => [2,6,1,5,4,3] => [1,5,2,6,3,4] => 2
[6,3,2,1,5,4] => [1,6,4,2,3,5] => [2,5,6,4,1,3] => [1,3,2,5,6,4] => 2
[6,3,2,4,1,5] => [1,6,5,2,3,4] => [2,5,6,1,4,3] => [1,4,2,5,6,3] => 2
[6,3,2,4,5,1] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,3,2,5,1,4] => [1,6,4,5,2,3] => [2,6,1,4,5,3] => [1,4,5,2,6,3] => 2
[6,3,2,5,4,1] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,3,4,1,2,5] => [1,6,5,2,3,4] => [2,5,6,1,4,3] => [1,4,2,5,6,3] => 2
[6,3,4,1,5,2] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,3,4,2,1,5] => [1,6,5,2,3,4] => [2,5,6,1,4,3] => [1,4,2,5,6,3] => 2
[6,3,4,2,5,1] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,3,4,5,1,2] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,3,4,5,2,1] => [1,6,2,3,4,5] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[6,3,5,1,2,4] => [1,6,4,2,3,5] => [2,5,6,4,1,3] => [1,3,2,5,6,4] => 2
[6,3,5,1,4,2] => [1,6,2,3,5,4] => [2,4,5,1,6,3] => [1,6,2,4,5,3] => 2
[6,3,5,2,1,4] => [1,6,4,2,3,5] => [2,5,6,4,1,3] => [1,3,2,5,6,4] => 2
[6,3,5,2,4,1] => [1,6,2,3,5,4] => [2,4,5,1,6,3] => [1,6,2,4,5,3] => 2
[6,3,5,4,1,2] => [1,6,2,3,5,4] => [2,4,5,1,6,3] => [1,6,2,4,5,3] => 2
[6,3,5,4,2,1] => [1,6,2,3,5,4] => [2,4,5,1,6,3] => [1,6,2,4,5,3] => 2
[6,4,1,2,3,5] => [1,6,5,3,2,4] => [2,6,5,1,4,3] => [1,4,2,6,3,5] => 2
[6,4,1,2,5,3] => [1,6,3,2,4,5] => [2,5,4,6,1,3] => [1,3,2,5,4,6] => 2
[6,4,1,3,2,5] => [1,6,5,2,4,3] => [2,5,1,6,4,3] => [1,6,2,5,3,4] => 2
[6,4,1,3,5,2] => [1,6,2,4,3,5] => [2,4,6,5,1,3] => [1,3,2,4,6,5] => 2
[6,4,1,5,2,3] => [1,6,3,2,4,5] => [2,5,4,6,1,3] => [1,3,2,5,4,6] => 2
[6,4,1,5,3,2] => [1,6,2,4,5,3] => [2,4,1,5,6,3] => [1,5,6,2,4,3] => 2
[6,4,2,1,3,5] => [1,6,5,3,2,4] => [2,6,5,1,4,3] => [1,4,2,6,3,5] => 2
[6,4,2,1,5,3] => [1,6,3,2,4,5] => [2,5,4,6,1,3] => [1,3,2,5,4,6] => 2
[6,4,2,3,1,5] => [1,6,5,2,4,3] => [2,5,1,6,4,3] => [1,6,2,5,3,4] => 2
[6,4,2,3,5,1] => [1,6,2,4,3,5] => [2,4,6,5,1,3] => [1,3,2,4,6,5] => 2
[6,4,2,5,1,3] => [1,6,3,2,4,5] => [2,5,4,6,1,3] => [1,3,2,5,4,6] => 2
[6,4,2,5,3,1] => [1,6,2,4,5,3] => [2,4,1,5,6,3] => [1,5,6,2,4,3] => 2
[6,4,3,1,2,5] => [1,6,5,2,4,3] => [2,5,1,6,4,3] => [1,6,2,5,3,4] => 2
[6,4,3,1,5,2] => [1,6,2,4,3,5] => [2,4,6,5,1,3] => [1,3,2,4,6,5] => 2
[6,4,3,2,1,5] => [1,6,5,2,4,3] => [2,5,1,6,4,3] => [1,6,2,5,3,4] => 2
[6,4,3,2,5,1] => [1,6,2,4,3,5] => [2,4,6,5,1,3] => [1,3,2,4,6,5] => 2
[6,4,3,5,1,2] => [1,6,2,4,5,3] => [2,4,1,5,6,3] => [1,5,6,2,4,3] => 2
[6,4,3,5,2,1] => [1,6,2,4,5,3] => [2,4,1,5,6,3] => [1,5,6,2,4,3] => 2
[6,4,5,1,2,3] => [1,6,3,5,2,4] => [2,6,4,1,5,3] => [1,5,2,6,3,4] => 2
[6,4,5,1,3,2] => [1,6,2,4,3,5] => [2,4,6,5,1,3] => [1,3,2,4,6,5] => 2
[6,4,5,2,1,3] => [1,6,3,5,2,4] => [2,6,4,1,5,3] => [1,5,2,6,3,4] => 2
[6,4,5,2,3,1] => [1,6,2,4,3,5] => [2,4,6,5,1,3] => [1,3,2,4,6,5] => 2
[6,4,5,3,1,2] => [1,6,2,4,3,5] => [2,4,6,5,1,3] => [1,3,2,4,6,5] => 2
[6,4,5,3,2,1] => [1,6,2,4,3,5] => [2,4,6,5,1,3] => [1,3,2,4,6,5] => 2
[6,5,1,2,3,4] => [1,6,4,2,5,3] => [2,5,1,4,6,3] => [1,4,6,2,5,3] => 3
[6,5,1,2,4,3] => [1,6,3,2,5,4] => [2,5,4,1,6,3] => [1,6,2,5,3,4] => 2
[6,5,1,3,2,4] => [1,6,4,3,2,5] => [2,6,5,4,1,3] => [1,3,2,6,4,5] => 2
[6,5,1,3,4,2] => [1,6,2,5,4,3] => [2,4,1,6,5,3] => [1,6,2,4,3,5] => 2
[6,5,1,4,2,3] => [1,6,3,2,5,4] => [2,5,4,1,6,3] => [1,6,2,5,3,4] => 2
[6,5,1,4,3,2] => [1,6,2,5,3,4] => [2,4,6,1,5,3] => [1,5,2,4,6,3] => 3
[6,5,2,1,3,4] => [1,6,4,2,5,3] => [2,5,1,4,6,3] => [1,4,6,2,5,3] => 3
[6,5,2,1,4,3] => [1,6,3,2,5,4] => [2,5,4,1,6,3] => [1,6,2,5,3,4] => 2
[6,5,2,3,1,4] => [1,6,4,3,2,5] => [2,6,5,4,1,3] => [1,3,2,6,4,5] => 2
[6,5,2,3,4,1] => [1,6,2,5,4,3] => [2,4,1,6,5,3] => [1,6,2,4,3,5] => 2
[6,5,2,4,1,3] => [1,6,3,2,5,4] => [2,5,4,1,6,3] => [1,6,2,5,3,4] => 2
[6,5,2,4,3,1] => [1,6,2,5,3,4] => [2,4,6,1,5,3] => [1,5,2,4,6,3] => 3
[6,5,3,1,2,4] => [1,6,4,2,5,3] => [2,5,1,4,6,3] => [1,4,6,2,5,3] => 3
[6,5,3,1,4,2] => [1,6,2,5,4,3] => [2,4,1,6,5,3] => [1,6,2,4,3,5] => 2
[6,5,3,2,1,4] => [1,6,4,2,5,3] => [2,5,1,4,6,3] => [1,4,6,2,5,3] => 3
[6,5,3,2,4,1] => [1,6,2,5,4,3] => [2,4,1,6,5,3] => [1,6,2,4,3,5] => 2
[6,5,3,4,1,2] => [1,6,2,5,3,4] => [2,4,6,1,5,3] => [1,5,2,4,6,3] => 3
[6,5,3,4,2,1] => [1,6,2,5,3,4] => [2,4,6,1,5,3] => [1,5,2,4,6,3] => 3
[6,5,4,1,2,3] => [1,6,3,4,2,5] => [2,6,4,5,1,3] => [1,3,2,6,4,5] => 2
[6,5,4,1,3,2] => [1,6,2,5,3,4] => [2,4,6,1,5,3] => [1,5,2,4,6,3] => 3
[6,5,4,2,1,3] => [1,6,3,4,2,5] => [2,6,4,5,1,3] => [1,3,2,6,4,5] => 2
[6,5,4,2,3,1] => [1,6,2,5,3,4] => [2,4,6,1,5,3] => [1,5,2,4,6,3] => 3
[6,5,4,3,1,2] => [1,6,2,5,3,4] => [2,4,6,1,5,3] => [1,5,2,4,6,3] => 3
[6,5,4,3,2,1] => [1,6,2,5,3,4] => [2,4,6,1,5,3] => [1,5,2,4,6,3] => 3
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,2,3,6,5,4,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,2,3,6,7,4,5] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,2,3,6,7,5,4] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,4,3,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,4,5,3,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,4,5,6,3,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,2,4,6,3,5,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,2,4,6,5,3,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,2,4,6,7,3,5] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,2,4,6,7,5,3] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,2,5,3,4,6,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,2,5,3,6,4,7] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[1,2,5,4,3,6,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,2,5,4,3,7,6] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,2,5,4,6,3,7] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[1,2,5,6,3,4,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,2,5,6,3,7,4] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,2,5,6,4,3,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,2,5,6,4,7,3] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,2,5,7,6,3,4] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[1,2,5,7,6,4,3] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[1,2,6,3,5,4,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,2,6,3,7,4,5] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,2,6,4,3,5,7] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[1,2,6,4,5,3,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,2,6,4,7,3,5] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,2,6,5,3,4,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,2,6,5,4,3,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,2,6,5,7,3,4] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,2,6,5,7,4,3] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,2,6,7,3,5,4] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[1,2,6,7,4,5,3] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,2,4,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,2,5,6,4,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,2,5,6,7,4] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,3,2,6,5,4,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,3,2,6,7,4,5] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,3,2,6,7,5,4] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,4,2,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,4,2,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,4,2,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,4,5,2,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,4,5,2,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,4,5,6,2,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[1,3,4,6,2,5,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,3,4,6,5,2,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,3,4,6,7,2,5] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,3,4,6,7,5,2] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[1,3,5,2,4,6,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,3,5,2,4,7,6] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,3,5,2,6,4,7] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[1,3,5,4,2,6,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,3,5,4,2,7,6] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,3,5,4,6,2,7] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[1,3,5,6,2,4,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,3,5,6,2,7,4] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,3,5,6,4,2,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,3,5,6,4,7,2] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[1,3,5,7,6,2,4] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[1,3,5,7,6,4,2] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[1,3,6,2,4,5,7] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[1,3,6,2,5,4,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,3,6,2,7,4,5] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,3,6,4,2,5,7] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[1,3,6,4,5,2,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,3,6,4,7,2,5] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,3,6,5,2,4,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,3,6,5,4,2,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,3,6,5,7,2,4] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,3,6,5,7,4,2] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[1,3,6,7,2,5,4] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[1,3,6,7,4,5,2] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[1,4,2,3,5,6,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,2,3,6,5,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,2,3,6,7,5] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,2,5,3,6,7] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[1,4,2,5,3,7,6] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[1,4,2,5,6,3,7] => [1,2,4,5,6,3,7] => [2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => 2
[1,4,2,5,6,7,3] => [1,2,4,5,6,7,3] => [2,3,1,4,5,6,7] => [1,4,5,6,7,2,3] => 2
[1,4,2,5,7,3,6] => [1,2,4,5,7,6,3] => [2,3,1,4,5,7,6] => [1,4,5,7,2,3,6] => 2
[1,4,2,6,3,5,7] => [1,2,4,6,5,3,7] => [2,3,7,4,6,5,1] => [1,2,3,7,4,6,5] => 2
[1,4,2,6,5,3,7] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[1,4,2,6,7,3,5] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[1,4,2,6,7,5,3] => [1,2,4,6,5,7,3] => [2,3,1,4,6,5,7] => [1,4,6,2,3,5,7] => 2
[1,4,3,2,5,6,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,3,2,5,7,6] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,3,2,6,5,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,3,2,6,7,5] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,3,5,2,6,7] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[1,4,3,5,2,7,6] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[1,4,3,5,6,2,7] => [1,2,4,5,6,3,7] => [2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => 2
[1,4,3,5,6,7,2] => [1,2,4,5,6,7,3] => [2,3,1,4,5,6,7] => [1,4,5,6,7,2,3] => 2
[1,4,3,5,7,2,6] => [1,2,4,5,7,6,3] => [2,3,1,4,5,7,6] => [1,4,5,7,2,3,6] => 2
[1,4,3,6,2,5,7] => [1,2,4,6,5,3,7] => [2,3,7,4,6,5,1] => [1,2,3,7,4,6,5] => 2
[1,4,3,6,5,2,7] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[1,4,3,6,7,2,5] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[1,4,3,6,7,5,2] => [1,2,4,6,5,7,3] => [2,3,1,4,6,5,7] => [1,4,6,2,3,5,7] => 2
[1,4,5,2,3,6,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,5,2,3,7,6] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,5,2,6,3,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,5,2,6,7,3] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,5,3,2,6,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,5,3,2,7,6] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,5,3,6,2,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,5,3,6,7,2] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[1,4,5,6,2,3,7] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[1,4,5,6,3,2,7] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[1,4,5,6,7,2,3] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[1,4,5,6,7,3,2] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[1,4,6,2,3,5,7] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[1,4,6,2,5,3,7] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[1,4,6,2,7,3,5] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[1,4,6,2,7,5,3] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[1,4,6,3,2,5,7] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[1,4,6,3,5,2,7] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[1,4,6,3,7,2,5] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[1,4,6,3,7,5,2] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[1,4,6,5,2,3,7] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[1,4,6,5,2,7,3] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[1,4,6,5,3,2,7] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[1,4,6,5,3,7,2] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[1,4,7,5,6,2,3] => [1,2,4,5,6,3,7] => [2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => 2
[1,4,7,5,6,3,2] => [1,2,4,5,6,3,7] => [2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => 2
[1,4,7,6,2,5,3] => [1,2,4,6,5,3,7] => [2,3,7,4,6,5,1] => [1,2,3,7,4,6,5] => 2
[1,4,7,6,3,5,2] => [1,2,4,6,5,3,7] => [2,3,7,4,6,5,1] => [1,2,3,7,4,6,5] => 2
[1,5,2,3,4,6,7] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[1,5,2,3,4,7,6] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[1,5,2,3,6,4,7] => [1,2,5,6,4,3,7] => [2,3,7,6,4,5,1] => [1,2,3,7,4,5,6] => 2
[1,5,2,4,3,6,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,2,4,3,7,6] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,2,4,6,3,7] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[1,5,2,4,6,7,3] => [1,2,5,6,7,3,4] => [2,3,7,1,4,5,6] => [1,4,5,6,2,3,7] => 2
[1,5,2,4,7,3,6] => [1,2,5,7,6,3,4] => [2,3,7,1,4,6,5] => [1,4,6,2,3,7,5] => 2
[1,5,2,6,3,4,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,2,6,3,7,4] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,2,6,4,3,7] => [1,2,5,4,6,3,7] => [2,3,7,5,4,6,1] => [1,2,3,7,4,6,5] => 2
[1,5,2,7,6,3,4] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[1,5,3,2,4,6,7] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[1,5,3,2,4,7,6] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[1,5,3,2,6,4,7] => [1,2,5,6,4,3,7] => [2,3,7,6,4,5,1] => [1,2,3,7,4,5,6] => 2
[1,5,3,4,2,6,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,3,4,2,7,6] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,3,4,6,2,7] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[1,5,3,4,6,7,2] => [1,2,5,6,7,3,4] => [2,3,7,1,4,5,6] => [1,4,5,6,2,3,7] => 2
[1,5,3,4,7,2,6] => [1,2,5,7,6,3,4] => [2,3,7,1,4,6,5] => [1,4,6,2,3,7,5] => 2
[1,5,3,6,2,4,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,3,6,2,7,4] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,3,6,4,2,7] => [1,2,5,4,6,3,7] => [2,3,7,5,4,6,1] => [1,2,3,7,4,6,5] => 2
[1,5,3,7,6,2,4] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[1,5,4,2,3,6,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,4,2,3,7,6] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,4,2,6,3,7] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[1,5,4,2,6,7,3] => [1,2,5,6,7,3,4] => [2,3,7,1,4,5,6] => [1,4,5,6,2,3,7] => 2
[1,5,4,2,7,3,6] => [1,2,5,7,6,3,4] => [2,3,7,1,4,6,5] => [1,4,6,2,3,7,5] => 2
[1,5,4,3,2,6,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,4,3,2,7,6] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,4,3,6,2,7] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[1,5,4,3,6,7,2] => [1,2,5,6,7,3,4] => [2,3,7,1,4,5,6] => [1,4,5,6,2,3,7] => 2
[1,5,4,3,7,2,6] => [1,2,5,7,6,3,4] => [2,3,7,1,4,6,5] => [1,4,6,2,3,7,5] => 2
[1,5,4,6,2,3,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,4,6,2,7,3] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,4,6,3,2,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,4,6,3,7,2] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[1,5,4,7,6,2,3] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[1,5,4,7,6,3,2] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[1,5,6,2,3,4,7] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[1,5,6,2,4,3,7] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[1,5,6,2,4,7,3] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[1,5,6,3,2,4,7] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[1,5,6,3,4,2,7] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[1,5,6,3,4,7,2] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[1,5,6,4,2,3,7] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[1,5,6,4,3,2,7] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[1,5,6,7,2,3,4] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[1,5,6,7,2,4,3] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[1,5,6,7,3,2,4] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[1,5,6,7,3,4,2] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[1,5,7,2,6,3,4] => [1,2,5,6,3,7,4] => [2,3,6,1,4,5,7] => [1,4,5,7,2,3,6] => 2
[1,5,7,2,6,4,3] => [1,2,5,6,4,3,7] => [2,3,7,6,4,5,1] => [1,2,3,7,4,5,6] => 2
[1,5,7,3,6,2,4] => [1,2,5,6,3,7,4] => [2,3,6,1,4,5,7] => [1,4,5,7,2,3,6] => 2
[1,5,7,3,6,4,2] => [1,2,5,6,4,3,7] => [2,3,7,6,4,5,1] => [1,2,3,7,4,5,6] => 2
[1,5,7,4,6,2,3] => [1,2,5,6,3,7,4] => [2,3,6,1,4,5,7] => [1,4,5,7,2,3,6] => 2
[1,5,7,4,6,3,2] => [1,2,5,6,3,7,4] => [2,3,6,1,4,5,7] => [1,4,5,7,2,3,6] => 2
[1,5,7,6,4,2,3] => [1,2,5,4,6,3,7] => [2,3,7,5,4,6,1] => [1,2,3,7,4,6,5] => 2
[1,5,7,6,4,3,2] => [1,2,5,4,6,3,7] => [2,3,7,5,4,6,1] => [1,2,3,7,4,6,5] => 2
[1,6,2,3,4,5,7] => [1,2,6,5,4,3,7] => [2,3,7,6,5,4,1] => [1,2,3,7,4,5,6] => 2
[1,6,2,3,5,4,7] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[1,6,2,3,5,7,4] => [1,2,6,7,4,3,5] => [2,3,7,6,1,4,5] => [1,4,5,2,3,7,6] => 2
[1,6,2,3,7,4,5] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[1,6,2,4,3,5,7] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[1,6,2,4,5,3,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,2,4,5,7,3] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[1,6,2,4,7,3,5] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,2,5,3,4,7] => [1,2,6,4,5,3,7] => [2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => 2
[1,6,2,5,4,3,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,2,5,4,7,3] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[1,6,2,5,7,3,4] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,2,7,3,5,4] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[1,6,2,7,5,4,3] => [1,2,6,4,7,3,5] => [2,3,7,5,1,4,6] => [1,4,6,2,3,7,5] => 2
[1,6,3,2,4,5,7] => [1,2,6,5,4,3,7] => [2,3,7,6,5,4,1] => [1,2,3,7,4,5,6] => 2
[1,6,3,2,5,4,7] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[1,6,3,2,5,7,4] => [1,2,6,7,4,3,5] => [2,3,7,6,1,4,5] => [1,4,5,2,3,7,6] => 2
[1,6,3,2,7,4,5] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[1,6,3,4,2,5,7] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[1,6,3,4,5,2,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,3,4,5,7,2] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[1,6,3,4,7,2,5] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,3,5,2,4,7] => [1,2,6,4,5,3,7] => [2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => 2
[1,6,3,5,4,2,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,3,5,4,7,2] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[1,6,3,5,7,2,4] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,3,7,2,5,4] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[1,6,3,7,5,4,2] => [1,2,6,4,7,3,5] => [2,3,7,5,1,4,6] => [1,4,6,2,3,7,5] => 2
[1,6,4,2,3,5,7] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[1,6,4,2,5,3,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,4,2,5,7,3] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[1,6,4,2,7,3,5] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,4,3,2,5,7] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[1,6,4,3,5,2,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,4,3,5,7,2] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[1,6,4,3,7,2,5] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,4,5,2,3,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,4,5,2,7,3] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[1,6,4,5,3,2,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,4,5,3,7,2] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[1,6,4,5,7,2,3] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,4,5,7,3,2] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[1,6,4,7,2,5,3] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[1,6,4,7,3,5,2] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[1,6,5,2,3,4,7] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[1,6,5,2,3,7,4] => [1,2,6,7,4,3,5] => [2,3,7,6,1,4,5] => [1,4,5,2,3,7,6] => 2
[1,6,5,2,4,3,7] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[1,6,5,2,7,4,3] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[1,6,5,3,2,4,7] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[1,6,5,3,2,7,4] => [1,2,6,7,4,3,5] => [2,3,7,6,1,4,5] => [1,4,5,2,3,7,6] => 2
[1,6,5,3,4,2,7] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[1,6,5,3,7,4,2] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[1,6,5,4,2,3,7] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[1,6,5,4,3,2,7] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[1,6,5,7,2,3,4] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[1,6,5,7,2,4,3] => [1,2,6,4,7,3,5] => [2,3,7,5,1,4,6] => [1,4,6,2,3,7,5] => 2
[1,6,5,7,3,2,4] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[1,6,5,7,3,4,2] => [1,2,6,4,7,3,5] => [2,3,7,5,1,4,6] => [1,4,6,2,3,7,5] => 2
[1,6,5,7,4,2,3] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[1,6,5,7,4,3,2] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[1,6,7,2,4,5,3] => [1,2,6,5,4,3,7] => [2,3,7,6,5,4,1] => [1,2,3,7,4,5,6] => 2
[1,6,7,2,5,3,4] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[1,6,7,3,4,5,2] => [1,2,6,5,4,3,7] => [2,3,7,6,5,4,1] => [1,2,3,7,4,5,6] => 2
[1,6,7,3,5,2,4] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[1,6,7,4,5,2,3] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[1,6,7,4,5,3,2] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[1,6,7,5,2,3,4] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[1,6,7,5,2,4,3] => [1,2,6,4,5,3,7] => [2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => 2
[1,6,7,5,3,2,4] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[1,6,7,5,3,4,2] => [1,2,6,4,5,3,7] => [2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => 2
[1,6,7,5,4,2,3] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[1,6,7,5,4,3,2] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[1,7,2,3,4,6,5] => [1,2,7,5,4,3,6] => [2,3,7,6,5,1,4] => [1,4,2,3,7,5,6] => 2
[1,7,2,3,5,6,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[1,7,2,3,6,5,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[1,7,2,4,3,6,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[1,7,2,4,5,6,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,2,4,6,5,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,2,5,3,6,4] => [1,2,7,4,5,3,6] => [2,3,7,5,6,1,4] => [1,4,2,3,7,5,6] => 2
[1,7,2,5,4,6,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,2,5,6,4,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,2,6,3,4,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[1,7,3,2,4,6,5] => [1,2,7,5,4,3,6] => [2,3,7,6,5,1,4] => [1,4,2,3,7,5,6] => 2
[1,7,3,2,5,6,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[1,7,3,2,6,5,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[1,7,3,4,2,6,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[1,7,3,4,5,6,2] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,3,4,6,5,2] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,3,5,2,6,4] => [1,2,7,4,5,3,6] => [2,3,7,5,6,1,4] => [1,4,2,3,7,5,6] => 2
[1,7,3,5,4,6,2] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,3,5,6,4,2] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,3,6,2,4,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[1,7,4,2,3,6,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[1,7,4,2,5,6,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,4,2,6,5,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,4,3,2,6,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[1,7,4,3,5,6,2] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,4,3,6,5,2] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,4,5,2,6,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,4,5,3,6,2] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,4,5,6,2,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,4,5,6,3,2] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[1,7,4,6,2,3,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[1,7,4,6,3,2,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[1,7,5,2,3,6,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[1,7,5,2,4,6,3] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[1,7,5,2,6,3,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[1,7,5,3,2,6,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[1,7,5,3,4,6,2] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[1,7,5,3,6,2,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[1,7,5,4,2,6,3] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[1,7,5,4,3,6,2] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[1,7,5,6,2,4,3] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[1,7,5,6,3,4,2] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[1,7,5,6,4,2,3] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[1,7,5,6,4,3,2] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[1,7,6,2,4,3,5] => [1,2,7,5,4,3,6] => [2,3,7,6,5,1,4] => [1,4,2,3,7,5,6] => 2
[1,7,6,3,4,2,5] => [1,2,7,5,4,3,6] => [2,3,7,6,5,1,4] => [1,4,2,3,7,5,6] => 2
[1,7,6,5,2,3,4] => [1,2,7,4,5,3,6] => [2,3,7,5,6,1,4] => [1,4,2,3,7,5,6] => 2
[1,7,6,5,3,2,4] => [1,2,7,4,5,3,6] => [2,3,7,5,6,1,4] => [1,4,2,3,7,5,6] => 2
[2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,3,4,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,3,5,4,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,3,5,6,4,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,3,5,6,7,4] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,3,6,4,5,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,1,3,6,5,4,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,1,3,6,7,4,5] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,1,3,6,7,5,4] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,1,4,3,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,4,5,3,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,4,5,3,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,4,5,6,3,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,4,5,6,7,3] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,1,4,6,3,5,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,1,4,6,5,3,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,1,4,6,7,3,5] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,1,4,6,7,5,3] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,1,5,3,4,6,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,1,5,3,4,7,6] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,1,5,3,6,4,7] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[2,1,5,4,3,6,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,1,5,4,3,7,6] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,1,5,4,6,3,7] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[2,1,5,6,3,4,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,1,5,6,3,7,4] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,1,5,6,4,3,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,1,5,6,4,7,3] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,1,5,7,6,3,4] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[2,1,5,7,6,4,3] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[2,1,6,3,4,5,7] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[2,1,6,3,5,4,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,1,6,3,7,4,5] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,1,6,4,3,5,7] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[2,1,6,4,5,3,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,1,6,4,7,3,5] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,1,6,5,3,4,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,1,6,5,4,3,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,1,6,5,7,3,4] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,1,6,5,7,4,3] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,1,6,7,3,5,4] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[2,1,6,7,4,5,3] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[2,3,1,4,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,1,4,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,1,4,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,1,4,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,1,5,4,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,1,5,4,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,1,5,6,4,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,1,5,6,7,4] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,1,6,4,5,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,3,1,6,5,4,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,3,1,6,7,4,5] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,3,1,6,7,5,4] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,4,5,1,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,4,6,1,5,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,3,4,6,5,1,7] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,3,4,6,7,1,5] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,3,4,6,7,5,1] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[2,3,5,1,4,6,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,3,5,1,4,7,6] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,3,5,1,6,4,7] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[2,3,5,4,1,6,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,3,5,4,1,7,6] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,3,5,4,6,1,7] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[2,3,5,6,1,4,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,3,5,6,1,7,4] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,3,5,6,4,1,7] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,3,5,6,4,7,1] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 2
[2,3,5,7,6,1,4] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[2,3,5,7,6,4,1] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 2
[2,3,6,1,4,5,7] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[2,3,6,1,5,4,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,3,6,1,7,4,5] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,3,6,4,1,5,7] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[2,3,6,4,5,1,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,3,6,4,7,1,5] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,3,6,5,1,4,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,3,6,5,4,1,7] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,3,6,5,7,1,4] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 2
[2,3,6,7,1,5,4] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[2,3,6,7,4,5,1] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[2,4,1,3,5,6,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,1,3,5,7,6] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,1,3,6,5,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,1,3,6,7,5] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,1,5,3,6,7] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[2,4,1,5,3,7,6] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[2,4,1,5,6,3,7] => [1,2,4,5,6,3,7] => [2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => 2
[2,4,1,5,6,7,3] => [1,2,4,5,6,7,3] => [2,3,1,4,5,6,7] => [1,4,5,6,7,2,3] => 2
[2,4,1,5,7,3,6] => [1,2,4,5,7,6,3] => [2,3,1,4,5,7,6] => [1,4,5,7,2,3,6] => 2
[2,4,1,6,3,5,7] => [1,2,4,6,5,3,7] => [2,3,7,4,6,5,1] => [1,2,3,7,4,6,5] => 2
[2,4,1,6,5,3,7] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[2,4,1,6,7,3,5] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[2,4,1,6,7,5,3] => [1,2,4,6,5,7,3] => [2,3,1,4,6,5,7] => [1,4,6,2,3,5,7] => 2
[2,4,3,1,5,6,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,3,1,5,7,6] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,3,1,6,5,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,3,1,6,7,5] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,3,5,1,6,7] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[2,4,3,5,1,7,6] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[2,4,3,5,6,1,7] => [1,2,4,5,6,3,7] => [2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => 2
[2,4,3,5,6,7,1] => [1,2,4,5,6,7,3] => [2,3,1,4,5,6,7] => [1,4,5,6,7,2,3] => 2
[2,4,3,5,7,1,6] => [1,2,4,5,7,6,3] => [2,3,1,4,5,7,6] => [1,4,5,7,2,3,6] => 2
[2,4,3,6,1,5,7] => [1,2,4,6,5,3,7] => [2,3,7,4,6,5,1] => [1,2,3,7,4,6,5] => 2
[2,4,3,6,5,1,7] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[2,4,3,6,7,1,5] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[2,4,3,6,7,5,1] => [1,2,4,6,5,7,3] => [2,3,1,4,6,5,7] => [1,4,6,2,3,5,7] => 2
[2,4,5,1,3,6,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,5,1,3,7,6] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,5,1,6,3,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,5,1,6,7,3] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,5,3,1,6,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,5,3,1,7,6] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,5,3,6,1,7] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,5,3,6,7,1] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 2
[2,4,5,6,1,3,7] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[2,4,5,6,3,1,7] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[2,4,5,6,7,1,3] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[2,4,5,6,7,3,1] => [1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 2
[2,4,6,1,3,5,7] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[2,4,6,1,5,3,7] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[2,4,6,1,7,3,5] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[2,4,6,1,7,5,3] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[2,4,6,3,1,5,7] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[2,4,6,3,5,1,7] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[2,4,6,3,7,1,5] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[2,4,6,3,7,5,1] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 2
[2,4,6,5,1,3,7] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[2,4,6,5,1,7,3] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[2,4,6,5,3,1,7] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[2,4,6,5,3,7,1] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 2
[2,4,7,5,6,1,3] => [1,2,4,5,6,3,7] => [2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => 2
[2,4,7,5,6,3,1] => [1,2,4,5,6,3,7] => [2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => 2
[2,4,7,6,1,5,3] => [1,2,4,6,5,3,7] => [2,3,7,4,6,5,1] => [1,2,3,7,4,6,5] => 2
[2,4,7,6,3,5,1] => [1,2,4,6,5,3,7] => [2,3,7,4,6,5,1] => [1,2,3,7,4,6,5] => 2
[2,5,1,3,4,6,7] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[2,5,1,3,4,7,6] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[2,5,1,3,6,4,7] => [1,2,5,6,4,3,7] => [2,3,7,6,4,5,1] => [1,2,3,7,4,5,6] => 2
[2,5,1,4,3,6,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,1,4,3,7,6] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,1,4,6,3,7] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[2,5,1,4,6,7,3] => [1,2,5,6,7,3,4] => [2,3,7,1,4,5,6] => [1,4,5,6,2,3,7] => 2
[2,5,1,4,7,3,6] => [1,2,5,7,6,3,4] => [2,3,7,1,4,6,5] => [1,4,6,2,3,7,5] => 2
[2,5,1,6,3,4,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,1,6,3,7,4] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,1,6,4,3,7] => [1,2,5,4,6,3,7] => [2,3,7,5,4,6,1] => [1,2,3,7,4,6,5] => 2
[2,5,1,7,6,3,4] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[2,5,3,1,4,6,7] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[2,5,3,1,4,7,6] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[2,5,3,1,6,4,7] => [1,2,5,6,4,3,7] => [2,3,7,6,4,5,1] => [1,2,3,7,4,5,6] => 2
[2,5,3,4,1,6,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,3,4,1,7,6] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,3,4,6,1,7] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[2,5,3,4,6,7,1] => [1,2,5,6,7,3,4] => [2,3,7,1,4,5,6] => [1,4,5,6,2,3,7] => 2
[2,5,3,4,7,1,6] => [1,2,5,7,6,3,4] => [2,3,7,1,4,6,5] => [1,4,6,2,3,7,5] => 2
[2,5,3,6,1,4,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,3,6,1,7,4] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,3,6,4,1,7] => [1,2,5,4,6,3,7] => [2,3,7,5,4,6,1] => [1,2,3,7,4,6,5] => 2
[2,5,3,7,6,1,4] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[2,5,4,1,3,6,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,4,1,3,7,6] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,4,1,6,3,7] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[2,5,4,1,6,7,3] => [1,2,5,6,7,3,4] => [2,3,7,1,4,5,6] => [1,4,5,6,2,3,7] => 2
[2,5,4,1,7,3,6] => [1,2,5,7,6,3,4] => [2,3,7,1,4,6,5] => [1,4,6,2,3,7,5] => 2
[2,5,4,3,1,6,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,4,3,1,7,6] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,4,3,6,1,7] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[2,5,4,3,6,7,1] => [1,2,5,6,7,3,4] => [2,3,7,1,4,5,6] => [1,4,5,6,2,3,7] => 2
[2,5,4,3,7,1,6] => [1,2,5,7,6,3,4] => [2,3,7,1,4,6,5] => [1,4,6,2,3,7,5] => 2
[2,5,4,6,1,3,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,4,6,1,7,3] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,4,6,3,1,7] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,4,6,3,7,1] => [1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 2
[2,5,4,7,6,1,3] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[2,5,4,7,6,3,1] => [1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 2
[2,5,6,1,3,4,7] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[2,5,6,1,4,3,7] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[2,5,6,1,4,7,3] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[2,5,6,3,1,4,7] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[2,5,6,3,4,1,7] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[2,5,6,3,4,7,1] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 2
[2,5,6,4,1,3,7] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[2,5,6,4,3,1,7] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[2,5,6,7,1,3,4] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[2,5,6,7,1,4,3] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[2,5,6,7,3,1,4] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[2,5,6,7,3,4,1] => [1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 2
[2,5,7,1,6,3,4] => [1,2,5,6,3,7,4] => [2,3,6,1,4,5,7] => [1,4,5,7,2,3,6] => 2
[2,5,7,1,6,4,3] => [1,2,5,6,4,3,7] => [2,3,7,6,4,5,1] => [1,2,3,7,4,5,6] => 2
[2,5,7,3,6,1,4] => [1,2,5,6,3,7,4] => [2,3,6,1,4,5,7] => [1,4,5,7,2,3,6] => 2
[2,5,7,3,6,4,1] => [1,2,5,6,4,3,7] => [2,3,7,6,4,5,1] => [1,2,3,7,4,5,6] => 2
[2,5,7,4,6,1,3] => [1,2,5,6,3,7,4] => [2,3,6,1,4,5,7] => [1,4,5,7,2,3,6] => 2
[2,5,7,4,6,3,1] => [1,2,5,6,3,7,4] => [2,3,6,1,4,5,7] => [1,4,5,7,2,3,6] => 2
[2,5,7,6,4,1,3] => [1,2,5,4,6,3,7] => [2,3,7,5,4,6,1] => [1,2,3,7,4,6,5] => 2
[2,5,7,6,4,3,1] => [1,2,5,4,6,3,7] => [2,3,7,5,4,6,1] => [1,2,3,7,4,6,5] => 2
[2,6,1,3,4,5,7] => [1,2,6,5,4,3,7] => [2,3,7,6,5,4,1] => [1,2,3,7,4,5,6] => 2
[2,6,1,3,5,4,7] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[2,6,1,3,5,7,4] => [1,2,6,7,4,3,5] => [2,3,7,6,1,4,5] => [1,4,5,2,3,7,6] => 2
[2,6,1,3,7,4,5] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[2,6,1,4,3,5,7] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[2,6,1,4,5,3,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,1,4,5,7,3] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[2,6,1,4,7,3,5] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,1,5,3,4,7] => [1,2,6,4,5,3,7] => [2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => 2
[2,6,1,5,4,3,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,1,5,4,7,3] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[2,6,1,5,7,3,4] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,1,7,3,5,4] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[2,6,1,7,5,4,3] => [1,2,6,4,7,3,5] => [2,3,7,5,1,4,6] => [1,4,6,2,3,7,5] => 2
[2,6,3,1,4,5,7] => [1,2,6,5,4,3,7] => [2,3,7,6,5,4,1] => [1,2,3,7,4,5,6] => 2
[2,6,3,1,5,4,7] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[2,6,3,1,5,7,4] => [1,2,6,7,4,3,5] => [2,3,7,6,1,4,5] => [1,4,5,2,3,7,6] => 2
[2,6,3,1,7,4,5] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[2,6,3,4,1,5,7] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[2,6,3,4,5,1,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,3,4,5,7,1] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[2,6,3,4,7,1,5] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,3,5,1,4,7] => [1,2,6,4,5,3,7] => [2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => 2
[2,6,3,5,4,1,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,3,5,4,7,1] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[2,6,3,5,7,1,4] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,3,7,1,5,4] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[2,6,3,7,5,4,1] => [1,2,6,4,7,3,5] => [2,3,7,5,1,4,6] => [1,4,6,2,3,7,5] => 2
[2,6,4,1,3,5,7] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[2,6,4,1,5,3,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,4,1,5,7,3] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[2,6,4,1,7,3,5] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,4,3,1,5,7] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[2,6,4,3,5,1,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,4,3,5,7,1] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[2,6,4,3,7,1,5] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,4,5,1,3,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,4,5,1,7,3] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[2,6,4,5,3,1,7] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,4,5,3,7,1] => [1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 2
[2,6,4,5,7,1,3] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 2
[2,6,4,7,1,5,3] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[2,6,4,7,3,5,1] => [1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 2
[2,6,5,1,3,4,7] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[2,6,5,1,3,7,4] => [1,2,6,7,4,3,5] => [2,3,7,6,1,4,5] => [1,4,5,2,3,7,6] => 2
[2,6,5,1,4,3,7] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[2,6,5,1,7,4,3] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[2,6,5,3,1,4,7] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[2,6,5,3,1,7,4] => [1,2,6,7,4,3,5] => [2,3,7,6,1,4,5] => [1,4,5,2,3,7,6] => 2
[2,6,5,3,4,1,7] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[2,6,5,3,7,4,1] => [1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[2,6,5,4,1,3,7] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[2,6,5,4,3,1,7] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[2,6,5,7,1,3,4] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[2,6,5,7,1,4,3] => [1,2,6,4,7,3,5] => [2,3,7,5,1,4,6] => [1,4,6,2,3,7,5] => 2
[2,6,5,7,3,1,4] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[2,6,5,7,3,4,1] => [1,2,6,4,7,3,5] => [2,3,7,5,1,4,6] => [1,4,6,2,3,7,5] => 2
[2,6,5,7,4,1,3] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[2,6,5,7,4,3,1] => [1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 2
[2,6,7,1,4,5,3] => [1,2,6,5,4,3,7] => [2,3,7,6,5,4,1] => [1,2,3,7,4,5,6] => 2
[2,6,7,1,5,3,4] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[2,6,7,3,4,5,1] => [1,2,6,5,4,3,7] => [2,3,7,6,5,4,1] => [1,2,3,7,4,5,6] => 2
[2,6,7,3,5,1,4] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[2,6,7,4,5,1,3] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[2,6,7,4,5,3,1] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[2,6,7,5,1,3,4] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[2,6,7,5,1,4,3] => [1,2,6,4,5,3,7] => [2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => 2
[2,6,7,5,3,1,4] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[2,6,7,5,3,4,1] => [1,2,6,4,5,3,7] => [2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => 2
[2,6,7,5,4,1,3] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[2,6,7,5,4,3,1] => [1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 2
[2,7,1,3,4,6,5] => [1,2,7,5,4,3,6] => [2,3,7,6,5,1,4] => [1,4,2,3,7,5,6] => 2
[2,7,1,3,5,6,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[2,7,1,3,6,5,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[2,7,1,4,3,6,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[2,7,1,4,5,6,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,1,4,6,5,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,1,5,3,6,4] => [1,2,7,4,5,3,6] => [2,3,7,5,6,1,4] => [1,4,2,3,7,5,6] => 2
[2,7,1,5,4,6,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,1,5,6,4,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,1,6,3,4,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[2,7,3,1,4,6,5] => [1,2,7,5,4,3,6] => [2,3,7,6,5,1,4] => [1,4,2,3,7,5,6] => 2
[2,7,3,1,5,6,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[2,7,3,1,6,5,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[2,7,3,4,1,6,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,3,4,6,5,1] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,3,5,1,6,4] => [1,2,7,4,5,3,6] => [2,3,7,5,6,1,4] => [1,4,2,3,7,5,6] => 2
[2,7,3,5,4,6,1] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,3,5,6,4,1] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,3,6,1,4,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[2,7,4,1,3,6,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[2,7,4,1,5,6,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,4,1,6,5,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,4,3,1,6,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[2,7,4,3,5,6,1] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,4,3,6,5,1] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,4,5,1,6,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,4,5,3,6,1] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,4,5,6,1,3] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 2
[2,7,4,6,1,3,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[2,7,4,6,3,1,5] => [1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 2
[2,7,5,1,3,6,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[2,7,5,1,4,6,3] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[2,7,5,1,6,3,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[2,7,5,3,1,6,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[2,7,5,3,4,6,1] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[2,7,5,3,6,1,4] => [1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 2
[2,7,5,4,1,6,3] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[2,7,5,4,3,6,1] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[2,7,5,6,1,4,3] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[2,7,5,6,3,4,1] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[2,7,5,6,4,1,3] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[2,7,5,6,4,3,1] => [1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 2
[2,7,6,1,4,3,5] => [1,2,7,5,4,3,6] => [2,3,7,6,5,1,4] => [1,4,2,3,7,5,6] => 2
[2,7,6,3,4,1,5] => [1,2,7,5,4,3,6] => [2,3,7,6,5,1,4] => [1,4,2,3,7,5,6] => 2
[2,7,6,5,1,3,4] => [1,2,7,4,5,3,6] => [2,3,7,5,6,1,4] => [1,4,2,3,7,5,6] => 2
[2,7,6,5,3,1,4] => [1,2,7,4,5,3,6] => [2,3,7,5,6,1,4] => [1,4,2,3,7,5,6] => 2
[3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,1,2,4,5,7,6] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,1,2,4,6,5,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,1,2,4,6,7,5] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,1,2,5,4,6,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,1,2,5,4,7,6] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,1,2,5,6,4,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,1,2,5,6,7,4] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,1,2,6,4,5,7] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,1,2,6,5,4,7] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,1,2,6,7,4,5] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,1,2,6,7,5,4] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,1,4,2,5,6,7] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,1,4,2,5,7,6] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,1,4,2,6,5,7] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,1,4,2,6,7,5] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,1,4,5,2,6,7] => [1,3,4,5,2,6,7] => [2,6,3,4,5,7,1] => [1,2,6,3,4,5,7] => 2
[3,1,4,5,2,7,6] => [1,3,4,5,2,6,7] => [2,6,3,4,5,7,1] => [1,2,6,3,4,5,7] => 2
[3,1,4,5,6,2,7] => [1,3,4,5,6,2,7] => [2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => 2
[3,1,4,5,6,7,2] => [1,3,4,5,6,7,2] => [2,1,3,4,5,6,7] => [1,3,4,5,6,7,2] => 2
[3,1,4,5,7,2,6] => [1,3,4,5,7,6,2] => [2,1,3,4,5,7,6] => [1,3,4,5,7,2,6] => 2
[3,1,4,6,2,5,7] => [1,3,4,6,5,2,7] => [2,7,3,4,6,5,1] => [1,2,7,3,4,6,5] => 2
[3,1,4,6,2,7,5] => [1,3,4,6,7,5,2] => [2,1,3,4,7,5,6] => [1,3,4,7,2,5,6] => 2
[3,1,4,6,5,2,7] => [1,3,4,6,2,5,7] => [2,6,3,4,7,5,1] => [1,2,6,3,4,7,5] => 2
[3,1,4,6,7,2,5] => [1,3,4,6,2,5,7] => [2,6,3,4,7,5,1] => [1,2,6,3,4,7,5] => 2
[3,1,4,6,7,5,2] => [1,3,4,6,5,7,2] => [2,1,3,4,6,5,7] => [1,3,4,6,2,5,7] => 2
[3,1,4,7,2,5,6] => [1,3,4,7,6,5,2] => [2,1,3,4,7,6,5] => [1,3,4,7,2,5,6] => 2
[3,1,4,7,6,2,5] => [1,3,4,7,5,6,2] => [2,1,3,4,6,7,5] => [1,3,4,6,7,2,5] => 2
[3,1,5,2,4,6,7] => [1,3,5,4,2,6,7] => [2,6,3,5,4,7,1] => [1,2,6,3,5,4,7] => 2
[3,1,5,2,4,7,6] => [1,3,5,4,2,6,7] => [2,6,3,5,4,7,1] => [1,2,6,3,5,4,7] => 2
[3,1,5,2,6,4,7] => [1,3,5,6,4,2,7] => [2,7,3,6,4,5,1] => [1,2,7,3,6,4,5] => 2
[3,1,5,2,6,7,4] => [1,3,5,6,7,4,2] => [2,1,3,7,4,5,6] => [1,3,7,2,4,5,6] => 2
[3,1,5,2,7,4,6] => [1,3,5,7,6,4,2] => [2,1,3,7,4,6,5] => [1,3,7,2,4,6,5] => 3
[3,1,5,4,2,6,7] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,1,5,4,2,7,6] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,1,5,4,6,2,7] => [1,3,5,6,2,4,7] => [2,6,3,7,4,5,1] => [1,2,6,3,7,4,5] => 2
[3,1,5,4,6,7,2] => [1,3,5,6,7,2,4] => [2,7,3,1,4,5,6] => [1,4,5,6,2,7,3] => 2
[3,1,5,4,7,2,6] => [1,3,5,7,6,2,4] => [2,7,3,1,4,6,5] => [1,4,6,2,7,3,5] => 2
[3,1,5,6,2,4,7] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,1,5,6,2,7,4] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,1,5,6,4,2,7] => [1,3,5,4,6,2,7] => [2,7,3,5,4,6,1] => [1,2,7,3,5,4,6] => 2
[3,1,5,6,4,7,2] => [1,3,5,4,6,7,2] => [2,1,3,5,4,6,7] => [1,3,5,2,4,6,7] => 2
[3,1,5,6,7,2,4] => [1,3,5,7,4,6,2] => [2,1,3,6,4,7,5] => [1,3,6,2,4,7,5] => 2
[3,1,5,7,4,2,6] => [1,3,5,4,7,6,2] => [2,1,3,5,4,7,6] => [1,3,5,2,4,7,6] => 2
[3,1,5,7,6,2,4] => [1,3,5,6,2,4,7] => [2,6,3,7,4,5,1] => [1,2,6,3,7,4,5] => 2
[3,1,5,7,6,4,2] => [1,3,5,6,4,7,2] => [2,1,3,6,4,5,7] => [1,3,6,2,4,5,7] => 2
[3,1,6,2,4,5,7] => [1,3,6,5,4,2,7] => [2,7,3,6,5,4,1] => [1,2,7,3,6,4,5] => 2
[3,1,6,2,4,7,5] => [1,3,6,7,5,4,2] => [2,1,3,7,6,4,5] => [1,3,7,2,4,5,6] => 2
[3,1,6,2,5,4,7] => [1,3,6,4,2,5,7] => [2,6,3,5,7,4,1] => [1,2,6,3,5,7,4] => 3
[3,1,6,2,5,7,4] => [1,3,6,7,4,2,5] => [2,7,3,6,1,4,5] => [1,4,5,2,7,3,6] => 2
[3,1,6,2,7,4,5] => [1,3,6,4,2,5,7] => [2,6,3,5,7,4,1] => [1,2,6,3,5,7,4] => 3
[3,1,6,2,7,5,4] => [1,3,6,5,7,4,2] => [2,1,3,7,5,4,6] => [1,3,7,2,4,6,5] => 3
[3,1,6,4,2,5,7] => [1,3,6,5,2,4,7] => [2,6,3,7,5,4,1] => [1,2,6,3,7,4,5] => 2
[3,1,6,4,5,2,7] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,1,6,4,5,7,2] => [1,3,6,7,2,4,5] => [2,6,3,7,1,4,5] => [1,4,5,2,6,3,7] => 2
[3,1,6,4,7,2,5] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,1,6,5,2,4,7] => [1,3,6,4,5,2,7] => [2,7,3,5,6,4,1] => [1,2,7,3,5,6,4] => 2
[3,1,6,5,2,7,4] => [1,3,6,7,4,5,2] => [2,1,3,6,7,4,5] => [1,3,6,7,2,4,5] => 2
[3,1,6,5,4,2,7] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,1,6,5,4,7,2] => [1,3,6,7,2,4,5] => [2,6,3,7,1,4,5] => [1,4,5,2,6,3,7] => 2
[3,1,6,5,7,2,4] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,1,6,5,7,4,2] => [1,3,6,4,5,7,2] => [2,1,3,5,6,4,7] => [1,3,5,6,2,4,7] => 2
[3,1,6,7,2,4,5] => [1,3,6,4,7,5,2] => [2,1,3,5,7,4,6] => [1,3,5,7,2,4,6] => 2
[3,1,6,7,2,5,4] => [1,3,6,5,2,4,7] => [2,6,3,7,5,4,1] => [1,2,6,3,7,4,5] => 2
[3,1,6,7,4,5,2] => [1,3,6,5,4,7,2] => [2,1,3,6,5,4,7] => [1,3,6,2,4,7,5] => 2
[3,1,6,7,5,4,2] => [1,3,6,4,7,2,5] => [2,7,3,5,1,4,6] => [1,4,6,2,7,3,5] => 2
[3,1,7,2,4,5,6] => [1,3,7,6,5,4,2] => [2,1,3,7,6,5,4] => [1,3,7,2,4,5,6] => 2
[3,1,7,2,4,6,5] => [1,3,7,5,4,2,6] => [2,7,3,6,5,1,4] => [1,4,2,7,3,6,5] => 3
[3,1,7,2,5,6,4] => [1,3,7,4,2,5,6] => [2,6,3,5,7,1,4] => [1,4,2,6,3,5,7] => 2
[3,1,7,2,6,4,5] => [1,3,7,5,6,4,2] => [2,1,3,7,5,6,4] => [1,3,7,2,4,5,6] => 2
[3,1,7,2,6,5,4] => [1,3,7,4,2,5,6] => [2,6,3,5,7,1,4] => [1,4,2,6,3,5,7] => 2
[3,1,7,4,2,6,5] => [1,3,7,5,2,4,6] => [2,6,3,7,5,1,4] => [1,4,2,6,3,7,5] => 2
[3,1,7,4,5,6,2] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,1,7,4,6,5,2] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,1,7,5,2,4,6] => [1,3,7,6,4,5,2] => [2,1,3,6,7,5,4] => [1,3,6,7,2,4,5] => 2
[3,1,7,5,2,6,4] => [1,3,7,4,5,2,6] => [2,7,3,5,6,1,4] => [1,4,2,7,3,5,6] => 2
[3,1,7,5,4,6,2] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,1,7,5,6,2,4] => [1,3,7,4,5,6,2] => [2,1,3,5,6,7,4] => [1,3,5,6,7,2,4] => 2
[3,1,7,5,6,4,2] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,1,7,6,2,4,5] => [1,3,7,5,2,4,6] => [2,6,3,7,5,1,4] => [1,4,2,6,3,7,5] => 2
[3,1,7,6,2,5,4] => [1,3,7,4,6,5,2] => [2,1,3,5,7,6,4] => [1,3,5,7,2,4,6] => 2
[3,1,7,6,4,2,5] => [1,3,7,5,4,6,2] => [2,1,3,6,5,7,4] => [1,3,6,2,4,5,7] => 2
[3,2,1,4,5,6,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,2,1,4,5,7,6] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,2,1,4,6,5,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,2,1,4,6,7,5] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,2,1,5,4,6,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,2,1,5,4,7,6] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,2,1,5,6,4,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,2,1,5,6,7,4] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,2,1,6,4,5,7] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,2,1,6,5,4,7] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,2,1,6,7,4,5] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,2,1,6,7,5,4] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,2,4,1,5,6,7] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,2,4,1,5,7,6] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,2,4,1,6,5,7] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,2,4,1,6,7,5] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,2,4,5,1,6,7] => [1,3,4,5,2,6,7] => [2,6,3,4,5,7,1] => [1,2,6,3,4,5,7] => 2
[3,2,4,5,1,7,6] => [1,3,4,5,2,6,7] => [2,6,3,4,5,7,1] => [1,2,6,3,4,5,7] => 2
[3,2,4,5,6,1,7] => [1,3,4,5,6,2,7] => [2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => 2
[3,2,4,5,6,7,1] => [1,3,4,5,6,7,2] => [2,1,3,4,5,6,7] => [1,3,4,5,6,7,2] => 2
[3,2,4,5,7,1,6] => [1,3,4,5,7,6,2] => [2,1,3,4,5,7,6] => [1,3,4,5,7,2,6] => 2
[3,2,4,6,1,5,7] => [1,3,4,6,5,2,7] => [2,7,3,4,6,5,1] => [1,2,7,3,4,6,5] => 2
[3,2,4,6,1,7,5] => [1,3,4,6,7,5,2] => [2,1,3,4,7,5,6] => [1,3,4,7,2,5,6] => 2
[3,2,4,6,5,1,7] => [1,3,4,6,2,5,7] => [2,6,3,4,7,5,1] => [1,2,6,3,4,7,5] => 2
[3,2,4,6,7,1,5] => [1,3,4,6,2,5,7] => [2,6,3,4,7,5,1] => [1,2,6,3,4,7,5] => 2
[3,2,4,6,7,5,1] => [1,3,4,6,5,7,2] => [2,1,3,4,6,5,7] => [1,3,4,6,2,5,7] => 2
[3,2,4,7,1,5,6] => [1,3,4,7,6,5,2] => [2,1,3,4,7,6,5] => [1,3,4,7,2,5,6] => 2
[3,2,4,7,6,1,5] => [1,3,4,7,5,6,2] => [2,1,3,4,6,7,5] => [1,3,4,6,7,2,5] => 2
[3,2,5,1,4,6,7] => [1,3,5,4,2,6,7] => [2,6,3,5,4,7,1] => [1,2,6,3,5,4,7] => 2
[3,2,5,1,4,7,6] => [1,3,5,4,2,6,7] => [2,6,3,5,4,7,1] => [1,2,6,3,5,4,7] => 2
[3,2,5,1,6,4,7] => [1,3,5,6,4,2,7] => [2,7,3,6,4,5,1] => [1,2,7,3,6,4,5] => 2
[3,2,5,1,6,7,4] => [1,3,5,6,7,4,2] => [2,1,3,7,4,5,6] => [1,3,7,2,4,5,6] => 2
[3,2,5,1,7,4,6] => [1,3,5,7,6,4,2] => [2,1,3,7,4,6,5] => [1,3,7,2,4,6,5] => 3
[3,2,5,4,1,6,7] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,2,5,4,1,7,6] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,2,5,4,6,1,7] => [1,3,5,6,2,4,7] => [2,6,3,7,4,5,1] => [1,2,6,3,7,4,5] => 2
[3,2,5,4,6,7,1] => [1,3,5,6,7,2,4] => [2,7,3,1,4,5,6] => [1,4,5,6,2,7,3] => 2
[3,2,5,4,7,1,6] => [1,3,5,7,6,2,4] => [2,7,3,1,4,6,5] => [1,4,6,2,7,3,5] => 2
[3,2,5,6,1,4,7] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,2,5,6,1,7,4] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,2,5,6,4,1,7] => [1,3,5,4,6,2,7] => [2,7,3,5,4,6,1] => [1,2,7,3,5,4,6] => 2
[3,2,5,6,4,7,1] => [1,3,5,4,6,7,2] => [2,1,3,5,4,6,7] => [1,3,5,2,4,6,7] => 2
[3,2,5,6,7,1,4] => [1,3,5,7,4,6,2] => [2,1,3,6,4,7,5] => [1,3,6,2,4,7,5] => 2
[3,2,5,7,4,1,6] => [1,3,5,4,7,6,2] => [2,1,3,5,4,7,6] => [1,3,5,2,4,7,6] => 2
[3,2,5,7,6,1,4] => [1,3,5,6,2,4,7] => [2,6,3,7,4,5,1] => [1,2,6,3,7,4,5] => 2
[3,2,5,7,6,4,1] => [1,3,5,6,4,7,2] => [2,1,3,6,4,5,7] => [1,3,6,2,4,5,7] => 2
[3,2,6,1,4,5,7] => [1,3,6,5,4,2,7] => [2,7,3,6,5,4,1] => [1,2,7,3,6,4,5] => 2
[3,2,6,1,4,7,5] => [1,3,6,7,5,4,2] => [2,1,3,7,6,4,5] => [1,3,7,2,4,5,6] => 2
[3,2,6,1,5,4,7] => [1,3,6,4,2,5,7] => [2,6,3,5,7,4,1] => [1,2,6,3,5,7,4] => 3
[3,2,6,1,5,7,4] => [1,3,6,7,4,2,5] => [2,7,3,6,1,4,5] => [1,4,5,2,7,3,6] => 2
[3,2,6,1,7,4,5] => [1,3,6,4,2,5,7] => [2,6,3,5,7,4,1] => [1,2,6,3,5,7,4] => 3
[3,2,6,1,7,5,4] => [1,3,6,5,7,4,2] => [2,1,3,7,5,4,6] => [1,3,7,2,4,6,5] => 3
[3,2,6,4,1,5,7] => [1,3,6,5,2,4,7] => [2,6,3,7,5,4,1] => [1,2,6,3,7,4,5] => 2
[3,2,6,4,5,1,7] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,2,6,4,5,7,1] => [1,3,6,7,2,4,5] => [2,6,3,7,1,4,5] => [1,4,5,2,6,3,7] => 2
[3,2,6,4,7,1,5] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,2,6,5,1,4,7] => [1,3,6,4,5,2,7] => [2,7,3,5,6,4,1] => [1,2,7,3,5,6,4] => 2
[3,2,6,5,1,7,4] => [1,3,6,7,4,5,2] => [2,1,3,6,7,4,5] => [1,3,6,7,2,4,5] => 2
[3,2,6,5,4,1,7] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,2,6,5,4,7,1] => [1,3,6,7,2,4,5] => [2,6,3,7,1,4,5] => [1,4,5,2,6,3,7] => 2
[3,2,6,5,7,1,4] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,2,6,5,7,4,1] => [1,3,6,4,5,7,2] => [2,1,3,5,6,4,7] => [1,3,5,6,2,4,7] => 2
[3,2,6,7,1,4,5] => [1,3,6,4,7,5,2] => [2,1,3,5,7,4,6] => [1,3,5,7,2,4,6] => 2
[3,2,6,7,1,5,4] => [1,3,6,5,2,4,7] => [2,6,3,7,5,4,1] => [1,2,6,3,7,4,5] => 2
[3,2,6,7,4,5,1] => [1,3,6,5,4,7,2] => [2,1,3,6,5,4,7] => [1,3,6,2,4,7,5] => 2
[3,2,6,7,5,4,1] => [1,3,6,4,7,2,5] => [2,7,3,5,1,4,6] => [1,4,6,2,7,3,5] => 2
[3,2,7,1,4,5,6] => [1,3,7,6,5,4,2] => [2,1,3,7,6,5,4] => [1,3,7,2,4,5,6] => 2
[3,2,7,1,4,6,5] => [1,3,7,5,4,2,6] => [2,7,3,6,5,1,4] => [1,4,2,7,3,6,5] => 3
[3,2,7,1,5,6,4] => [1,3,7,4,2,5,6] => [2,6,3,5,7,1,4] => [1,4,2,6,3,5,7] => 2
[3,2,7,1,6,4,5] => [1,3,7,5,6,4,2] => [2,1,3,7,5,6,4] => [1,3,7,2,4,5,6] => 2
[3,2,7,1,6,5,4] => [1,3,7,4,2,5,6] => [2,6,3,5,7,1,4] => [1,4,2,6,3,5,7] => 2
[3,2,7,4,1,6,5] => [1,3,7,5,2,4,6] => [2,6,3,7,5,1,4] => [1,4,2,6,3,7,5] => 2
[3,2,7,4,5,6,1] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,2,7,4,6,5,1] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,2,7,5,1,4,6] => [1,3,7,6,4,5,2] => [2,1,3,6,7,5,4] => [1,3,6,7,2,4,5] => 2
[3,2,7,5,1,6,4] => [1,3,7,4,5,2,6] => [2,7,3,5,6,1,4] => [1,4,2,7,3,5,6] => 2
[3,2,7,5,4,6,1] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,2,7,5,6,1,4] => [1,3,7,4,5,6,2] => [2,1,3,5,6,7,4] => [1,3,5,6,7,2,4] => 2
[3,2,7,5,6,4,1] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,2,7,6,1,4,5] => [1,3,7,5,2,4,6] => [2,6,3,7,5,1,4] => [1,4,2,6,3,7,5] => 2
[3,2,7,6,1,5,4] => [1,3,7,4,6,5,2] => [2,1,3,5,7,6,4] => [1,3,5,7,2,4,6] => 2
[3,2,7,6,4,1,5] => [1,3,7,5,4,6,2] => [2,1,3,6,5,7,4] => [1,3,6,2,4,5,7] => 2
[3,4,1,2,5,6,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,1,2,5,7,6] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,1,2,6,5,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,1,2,6,7,5] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,1,5,2,6,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,1,5,2,7,6] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,1,5,6,2,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,1,5,6,7,2] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,1,6,2,5,7] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,4,1,6,5,2,7] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,4,1,6,7,2,5] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,4,1,6,7,5,2] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,4,2,1,5,6,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,2,1,5,7,6] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,2,1,6,5,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,2,1,6,7,5] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,2,5,1,6,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,2,5,1,7,6] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,2,5,6,1,7] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,2,5,6,7,1] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 2
[3,4,2,6,1,5,7] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,4,2,6,5,1,7] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,4,2,6,7,1,5] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,4,2,6,7,5,1] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 2
[3,4,5,1,2,6,7] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,4,5,1,2,7,6] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,4,5,1,6,2,7] => [1,3,5,6,2,4,7] => [2,6,3,7,4,5,1] => [1,2,6,3,7,4,5] => 2
[3,4,5,1,6,7,2] => [1,3,5,6,7,2,4] => [2,7,3,1,4,5,6] => [1,4,5,6,2,7,3] => 2
[3,4,5,1,7,2,6] => [1,3,5,7,6,2,4] => [2,7,3,1,4,6,5] => [1,4,6,2,7,3,5] => 2
[3,4,5,2,1,6,7] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,4,5,2,1,7,6] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,4,5,2,6,1,7] => [1,3,5,6,2,4,7] => [2,6,3,7,4,5,1] => [1,2,6,3,7,4,5] => 2
[3,4,5,2,6,7,1] => [1,3,5,6,7,2,4] => [2,7,3,1,4,5,6] => [1,4,5,6,2,7,3] => 2
[3,4,5,2,7,1,6] => [1,3,5,7,6,2,4] => [2,7,3,1,4,6,5] => [1,4,6,2,7,3,5] => 2
[3,4,5,6,1,2,7] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,4,5,6,1,7,2] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,4,5,6,2,1,7] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,4,5,6,2,7,1] => [1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 2
[3,4,5,7,6,1,2] => [1,3,5,6,2,4,7] => [2,6,3,7,4,5,1] => [1,2,6,3,7,4,5] => 2
[3,4,5,7,6,2,1] => [1,3,5,6,2,4,7] => [2,6,3,7,4,5,1] => [1,2,6,3,7,4,5] => 2
[3,4,6,1,2,5,7] => [1,3,6,5,2,4,7] => [2,6,3,7,5,4,1] => [1,2,6,3,7,4,5] => 2
[3,4,6,1,5,2,7] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,4,6,1,5,7,2] => [1,3,6,7,2,4,5] => [2,6,3,7,1,4,5] => [1,4,5,2,6,3,7] => 2
[3,4,6,1,7,2,5] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,4,6,2,1,5,7] => [1,3,6,5,2,4,7] => [2,6,3,7,5,4,1] => [1,2,6,3,7,4,5] => 2
[3,4,6,2,5,1,7] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,4,6,2,5,7,1] => [1,3,6,7,2,4,5] => [2,6,3,7,1,4,5] => [1,4,5,2,6,3,7] => 2
[3,4,6,2,7,1,5] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,4,6,5,1,2,7] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,4,6,5,1,7,2] => [1,3,6,7,2,4,5] => [2,6,3,7,1,4,5] => [1,4,5,2,6,3,7] => 2
[3,4,6,5,2,1,7] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,4,6,5,2,7,1] => [1,3,6,7,2,4,5] => [2,6,3,7,1,4,5] => [1,4,5,2,6,3,7] => 2
[3,4,6,5,7,1,2] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,4,6,5,7,2,1] => [1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 2
[3,4,6,7,1,5,2] => [1,3,6,5,2,4,7] => [2,6,3,7,5,4,1] => [1,2,6,3,7,4,5] => 2
[3,4,6,7,2,5,1] => [1,3,6,5,2,4,7] => [2,6,3,7,5,4,1] => [1,2,6,3,7,4,5] => 2
[3,4,7,1,2,6,5] => [1,3,7,5,2,4,6] => [2,6,3,7,5,1,4] => [1,4,2,6,3,7,5] => 2
[3,4,7,1,5,6,2] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,4,7,1,6,5,2] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,4,7,2,1,6,5] => [1,3,7,5,2,4,6] => [2,6,3,7,5,1,4] => [1,4,2,6,3,7,5] => 2
[3,4,7,2,5,6,1] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,4,7,2,6,5,1] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,4,7,5,1,6,2] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,4,7,5,2,6,1] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,4,7,5,6,1,2] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,4,7,5,6,2,1] => [1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 2
[3,4,7,6,1,2,5] => [1,3,7,5,2,4,6] => [2,6,3,7,5,1,4] => [1,4,2,6,3,7,5] => 2
[3,4,7,6,2,1,5] => [1,3,7,5,2,4,6] => [2,6,3,7,5,1,4] => [1,4,2,6,3,7,5] => 2
[3,5,1,2,4,6,7] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,1,2,4,7,6] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,1,2,6,4,7] => [1,3,2,5,6,4,7] => [2,4,3,7,5,6,1] => [1,2,4,3,7,5,6] => 2
[3,5,1,4,2,6,7] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,1,4,2,7,6] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,1,4,6,2,7] => [1,3,2,5,6,4,7] => [2,4,3,7,5,6,1] => [1,2,4,3,7,5,6] => 2
[3,5,1,6,2,4,7] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,1,6,2,7,4] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,1,6,4,2,7] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,1,6,4,7,2] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,1,7,6,2,4] => [1,3,2,5,6,4,7] => [2,4,3,7,5,6,1] => [1,2,4,3,7,5,6] => 2
[3,5,1,7,6,4,2] => [1,3,2,5,6,4,7] => [2,4,3,7,5,6,1] => [1,2,4,3,7,5,6] => 2
[3,5,2,1,4,6,7] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,2,1,4,7,6] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,2,1,6,4,7] => [1,3,2,5,6,4,7] => [2,4,3,7,5,6,1] => [1,2,4,3,7,5,6] => 2
[3,5,2,4,1,6,7] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,2,4,1,7,6] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,2,4,6,1,7] => [1,3,2,5,6,4,7] => [2,4,3,7,5,6,1] => [1,2,4,3,7,5,6] => 2
[3,5,2,6,1,4,7] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,2,6,1,7,4] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,2,6,4,1,7] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,2,6,4,7,1] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 2
[3,5,2,7,6,1,4] => [1,3,2,5,6,4,7] => [2,4,3,7,5,6,1] => [1,2,4,3,7,5,6] => 2
[3,5,2,7,6,4,1] => [1,3,2,5,6,4,7] => [2,4,3,7,5,6,1] => [1,2,4,3,7,5,6] => 2
[3,5,4,1,2,6,7] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,5,4,1,2,7,6] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,5,4,1,6,2,7] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,5,4,1,6,7,2] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,5,4,2,1,6,7] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,5,4,2,1,7,6] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,5,4,2,6,1,7] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,5,4,2,6,7,1] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 2
[3,5,4,6,1,2,7] => [1,3,4,6,2,5,7] => [2,6,3,4,7,5,1] => [1,2,6,3,4,7,5] => 2
[3,5,4,6,2,1,7] => [1,3,4,6,2,5,7] => [2,6,3,4,7,5,1] => [1,2,6,3,4,7,5] => 2
[3,5,4,6,7,1,2] => [1,3,4,6,2,5,7] => [2,6,3,4,7,5,1] => [1,2,6,3,4,7,5] => 2
[3,5,4,6,7,2,1] => [1,3,4,6,2,5,7] => [2,6,3,4,7,5,1] => [1,2,6,3,4,7,5] => 2
[3,5,6,1,2,4,7] => [1,3,6,4,2,5,7] => [2,6,3,5,7,4,1] => [1,2,6,3,5,7,4] => 3
[3,5,6,1,2,7,4] => [1,3,6,7,4,2,5] => [2,7,3,6,1,4,5] => [1,4,5,2,7,3,6] => 2
[3,5,6,1,4,2,7] => [1,3,6,2,5,4,7] => [2,5,3,7,6,4,1] => [1,2,5,3,7,4,6] => 2
[3,5,6,1,7,4,2] => [1,3,6,4,2,5,7] => [2,6,3,5,7,4,1] => [1,2,6,3,5,7,4] => 3
[3,5,6,2,1,4,7] => [1,3,6,4,2,5,7] => [2,6,3,5,7,4,1] => [1,2,6,3,5,7,4] => 3
[3,5,6,2,1,7,4] => [1,3,6,7,4,2,5] => [2,7,3,6,1,4,5] => [1,4,5,2,7,3,6] => 2
[3,5,6,2,4,1,7] => [1,3,6,2,5,4,7] => [2,5,3,7,6,4,1] => [1,2,5,3,7,4,6] => 2
[3,5,6,2,7,4,1] => [1,3,6,4,2,5,7] => [2,6,3,5,7,4,1] => [1,2,6,3,5,7,4] => 3
[3,5,6,4,1,2,7] => [1,3,6,2,5,4,7] => [2,5,3,7,6,4,1] => [1,2,5,3,7,4,6] => 2
[3,5,6,4,2,1,7] => [1,3,6,2,5,4,7] => [2,5,3,7,6,4,1] => [1,2,5,3,7,4,6] => 2
[3,5,6,7,1,2,4] => [1,3,6,2,5,4,7] => [2,5,3,7,6,4,1] => [1,2,5,3,7,4,6] => 2
[3,5,6,7,1,4,2] => [1,3,6,4,7,2,5] => [2,7,3,5,1,4,6] => [1,4,6,2,7,3,5] => 2
[3,5,6,7,2,1,4] => [1,3,6,2,5,4,7] => [2,5,3,7,6,4,1] => [1,2,5,3,7,4,6] => 2
[3,5,6,7,2,4,1] => [1,3,6,4,7,2,5] => [2,7,3,5,1,4,6] => [1,4,6,2,7,3,5] => 2
[3,5,6,7,4,1,2] => [1,3,6,2,5,4,7] => [2,5,3,7,6,4,1] => [1,2,5,3,7,4,6] => 2
[3,5,6,7,4,2,1] => [1,3,6,2,5,4,7] => [2,5,3,7,6,4,1] => [1,2,5,3,7,4,6] => 2
[3,5,7,1,2,6,4] => [1,3,7,4,2,5,6] => [2,6,3,5,7,1,4] => [1,4,2,6,3,5,7] => 2
[3,5,7,1,4,6,2] => [1,3,7,2,5,4,6] => [2,5,3,7,6,1,4] => [1,4,2,5,3,7,6] => 2
[3,5,7,1,6,2,4] => [1,3,7,4,2,5,6] => [2,6,3,5,7,1,4] => [1,4,2,6,3,5,7] => 2
[3,5,7,2,1,6,4] => [1,3,7,4,2,5,6] => [2,6,3,5,7,1,4] => [1,4,2,6,3,5,7] => 2
[3,5,7,2,4,6,1] => [1,3,7,2,5,4,6] => [2,5,3,7,6,1,4] => [1,4,2,5,3,7,6] => 2
[3,5,7,2,6,1,4] => [1,3,7,4,2,5,6] => [2,6,3,5,7,1,4] => [1,4,2,6,3,5,7] => 2
[3,5,7,4,1,6,2] => [1,3,7,2,5,4,6] => [2,5,3,7,6,1,4] => [1,4,2,5,3,7,6] => 2
[3,5,7,4,2,6,1] => [1,3,7,2,5,4,6] => [2,5,3,7,6,1,4] => [1,4,2,5,3,7,6] => 2
[3,5,7,6,1,4,2] => [1,3,7,2,5,4,6] => [2,5,3,7,6,1,4] => [1,4,2,5,3,7,6] => 2
[3,5,7,6,2,4,1] => [1,3,7,2,5,4,6] => [2,5,3,7,6,1,4] => [1,4,2,5,3,7,6] => 2
[3,5,7,6,4,1,2] => [1,3,7,2,5,4,6] => [2,5,3,7,6,1,4] => [1,4,2,5,3,7,6] => 2
[3,5,7,6,4,2,1] => [1,3,7,2,5,4,6] => [2,5,3,7,6,1,4] => [1,4,2,5,3,7,6] => 2
[3,6,1,2,4,5,7] => [1,3,2,6,5,4,7] => [2,4,3,7,6,5,1] => [1,2,4,3,7,5,6] => 2
[3,6,1,2,5,4,7] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,1,2,7,4,5] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,1,4,2,5,7] => [1,3,2,6,5,4,7] => [2,4,3,7,6,5,1] => [1,2,4,3,7,5,6] => 2
[3,6,1,4,5,2,7] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,1,4,7,2,5] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,1,5,2,4,7] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,1,5,4,2,7] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,1,5,7,2,4] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,1,5,7,4,2] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,1,7,2,5,4] => [1,3,2,6,5,4,7] => [2,4,3,7,6,5,1] => [1,2,4,3,7,5,6] => 2
[3,6,1,7,4,5,2] => [1,3,2,6,5,4,7] => [2,4,3,7,6,5,1] => [1,2,4,3,7,5,6] => 2
[3,6,2,1,4,5,7] => [1,3,2,6,5,4,7] => [2,4,3,7,6,5,1] => [1,2,4,3,7,5,6] => 2
[3,6,2,1,5,4,7] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,2,1,7,4,5] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,2,4,1,5,7] => [1,3,2,6,5,4,7] => [2,4,3,7,6,5,1] => [1,2,4,3,7,5,6] => 2
[3,6,2,4,5,1,7] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,2,4,7,1,5] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,2,5,1,4,7] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,2,5,4,1,7] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,2,5,7,1,4] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,2,5,7,4,1] => [1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 2
[3,6,2,7,1,5,4] => [1,3,2,6,5,4,7] => [2,4,3,7,6,5,1] => [1,2,4,3,7,5,6] => 2
[3,6,2,7,4,5,1] => [1,3,2,6,5,4,7] => [2,4,3,7,6,5,1] => [1,2,4,3,7,5,6] => 2
[3,6,4,1,2,5,7] => [1,3,4,2,6,5,7] => [2,5,3,4,7,6,1] => [1,2,5,3,4,7,6] => 2
[3,6,4,1,5,2,7] => [1,3,4,2,6,5,7] => [2,5,3,4,7,6,1] => [1,2,5,3,4,7,6] => 2
[3,6,4,1,7,2,5] => [1,3,4,2,6,5,7] => [2,5,3,4,7,6,1] => [1,2,5,3,4,7,6] => 2
[3,6,4,1,7,5,2] => [1,3,4,2,6,5,7] => [2,5,3,4,7,6,1] => [1,2,5,3,4,7,6] => 2
[3,6,4,2,1,5,7] => [1,3,4,2,6,5,7] => [2,5,3,4,7,6,1] => [1,2,5,3,4,7,6] => 2
[3,6,4,2,5,1,7] => [1,3,4,2,6,5,7] => [2,5,3,4,7,6,1] => [1,2,5,3,4,7,6] => 2
[3,6,4,2,7,1,5] => [1,3,4,2,6,5,7] => [2,5,3,4,7,6,1] => [1,2,5,3,4,7,6] => 2
[3,6,4,2,7,5,1] => [1,3,4,2,6,5,7] => [2,5,3,4,7,6,1] => [1,2,5,3,4,7,6] => 2
[3,6,4,5,1,2,7] => [1,3,4,5,2,6,7] => [2,6,3,4,5,7,1] => [1,2,6,3,4,5,7] => 2
[3,6,4,5,1,7,2] => [1,3,4,5,2,6,7] => [2,6,3,4,5,7,1] => [1,2,6,3,4,5,7] => 2
[3,6,4,5,2,1,7] => [1,3,4,5,2,6,7] => [2,6,3,4,5,7,1] => [1,2,6,3,4,5,7] => 2
[3,6,4,5,2,7,1] => [1,3,4,5,2,6,7] => [2,6,3,4,5,7,1] => [1,2,6,3,4,5,7] => 2
[3,6,5,1,2,4,7] => [1,3,5,2,6,4,7] => [2,5,3,7,4,6,1] => [1,2,5,3,7,4,6] => 2
[3,6,5,1,4,2,7] => [1,3,5,4,2,6,7] => [2,6,3,5,4,7,1] => [1,2,6,3,5,4,7] => 2
[3,6,5,1,4,7,2] => [1,3,5,4,2,6,7] => [2,6,3,5,4,7,1] => [1,2,6,3,5,4,7] => 2
[3,6,5,2,1,4,7] => [1,3,5,2,6,4,7] => [2,5,3,7,4,6,1] => [1,2,5,3,7,4,6] => 2
[3,6,5,2,4,1,7] => [1,3,5,4,2,6,7] => [2,6,3,5,4,7,1] => [1,2,6,3,5,4,7] => 2
[3,6,5,2,4,7,1] => [1,3,5,4,2,6,7] => [2,6,3,5,4,7,1] => [1,2,6,3,5,4,7] => 2
[3,6,5,4,1,2,7] => [1,3,5,2,6,4,7] => [2,5,3,7,4,6,1] => [1,2,5,3,7,4,6] => 2
[3,6,5,4,2,1,7] => [1,3,5,2,6,4,7] => [2,5,3,7,4,6,1] => [1,2,5,3,7,4,6] => 2
[3,6,5,7,1,2,4] => [1,3,5,2,6,4,7] => [2,5,3,7,4,6,1] => [1,2,5,3,7,4,6] => 2
[3,6,5,7,1,4,2] => [1,3,5,2,6,4,7] => [2,5,3,7,4,6,1] => [1,2,5,3,7,4,6] => 2
[3,6,5,7,2,1,4] => [1,3,5,2,6,4,7] => [2,5,3,7,4,6,1] => [1,2,5,3,7,4,6] => 2
[3,6,5,7,2,4,1] => [1,3,5,2,6,4,7] => [2,5,3,7,4,6,1] => [1,2,5,3,7,4,6] => 2
[3,6,7,1,4,2,5] => [1,3,7,5,4,2,6] => [2,7,3,6,5,1,4] => [1,4,2,7,3,6,5] => 3
[3,6,7,2,4,1,5] => [1,3,7,5,4,2,6] => [2,7,3,6,5,1,4] => [1,4,2,7,3,6,5] => 3
[3,6,7,5,1,2,4] => [1,3,7,4,5,2,6] => [2,7,3,5,6,1,4] => [1,4,2,7,3,5,6] => 2
[3,6,7,5,2,1,4] => [1,3,7,4,5,2,6] => [2,7,3,5,6,1,4] => [1,4,2,7,3,5,6] => 2
[3,7,4,5,6,1,2] => [1,3,4,5,6,2,7] => [2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => 2
[3,7,4,5,6,2,1] => [1,3,4,5,6,2,7] => [2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => 2
[3,7,4,6,1,5,2] => [1,3,4,6,5,2,7] => [2,7,3,4,6,5,1] => [1,2,7,3,4,6,5] => 2
[3,7,4,6,2,5,1] => [1,3,4,6,5,2,7] => [2,7,3,4,6,5,1] => [1,2,7,3,4,6,5] => 2
[3,7,5,1,6,2,4] => [1,3,5,6,2,7,4] => [2,6,3,1,4,5,7] => [1,4,5,7,2,6,3] => 3
[3,7,5,1,6,4,2] => [1,3,5,6,4,2,7] => [2,7,3,6,4,5,1] => [1,2,7,3,6,4,5] => 2
[3,7,5,2,6,1,4] => [1,3,5,6,2,7,4] => [2,6,3,1,4,5,7] => [1,4,5,7,2,6,3] => 3
[3,7,5,2,6,4,1] => [1,3,5,6,4,2,7] => [2,7,3,6,4,5,1] => [1,2,7,3,6,4,5] => 2
[3,7,5,4,6,1,2] => [1,3,5,6,2,7,4] => [2,6,3,1,4,5,7] => [1,4,5,7,2,6,3] => 3
[3,7,5,4,6,2,1] => [1,3,5,6,2,7,4] => [2,6,3,1,4,5,7] => [1,4,5,7,2,6,3] => 3
[3,7,5,6,4,1,2] => [1,3,5,4,6,2,7] => [2,7,3,5,4,6,1] => [1,2,7,3,5,4,6] => 2
[3,7,5,6,4,2,1] => [1,3,5,4,6,2,7] => [2,7,3,5,4,6,1] => [1,2,7,3,5,4,6] => 2
[3,7,6,1,4,5,2] => [1,3,6,5,4,2,7] => [2,7,3,6,5,4,1] => [1,2,7,3,6,4,5] => 2
[3,7,6,1,5,2,4] => [1,3,6,2,7,4,5] => [2,5,3,7,1,4,6] => [1,4,6,2,5,3,7] => 3
[3,7,6,2,4,5,1] => [1,3,6,5,4,2,7] => [2,7,3,6,5,4,1] => [1,2,7,3,6,4,5] => 2
[3,7,6,2,5,1,4] => [1,3,6,2,7,4,5] => [2,5,3,7,1,4,6] => [1,4,6,2,5,3,7] => 3
[3,7,6,4,5,1,2] => [1,3,6,2,7,4,5] => [2,5,3,7,1,4,6] => [1,4,6,2,5,3,7] => 3
[3,7,6,4,5,2,1] => [1,3,6,2,7,4,5] => [2,5,3,7,1,4,6] => [1,4,6,2,5,3,7] => 3
[3,7,6,5,1,2,4] => [1,3,6,2,7,4,5] => [2,5,3,7,1,4,6] => [1,4,6,2,5,3,7] => 3
[3,7,6,5,1,4,2] => [1,3,6,4,5,2,7] => [2,7,3,5,6,4,1] => [1,2,7,3,5,6,4] => 2
[3,7,6,5,2,1,4] => [1,3,6,2,7,4,5] => [2,5,3,7,1,4,6] => [1,4,6,2,5,3,7] => 3
[3,7,6,5,2,4,1] => [1,3,6,4,5,2,7] => [2,7,3,5,6,4,1] => [1,2,7,3,5,6,4] => 2
[3,7,6,5,4,1,2] => [1,3,6,2,7,4,5] => [2,5,3,7,1,4,6] => [1,4,6,2,5,3,7] => 3
[3,7,6,5,4,2,1] => [1,3,6,2,7,4,5] => [2,5,3,7,1,4,6] => [1,4,6,2,5,3,7] => 3
[4,1,2,3,5,6,7] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,1,2,3,5,7,6] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,1,2,3,6,5,7] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,1,2,3,6,7,5] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,1,2,5,3,6,7] => [1,4,5,3,2,6,7] => [2,6,5,3,4,7,1] => [1,2,6,3,4,7,5] => 2
[4,1,2,5,3,7,6] => [1,4,5,3,2,6,7] => [2,6,5,3,4,7,1] => [1,2,6,3,4,7,5] => 2
[4,1,2,5,6,3,7] => [1,4,5,6,3,2,7] => [2,7,6,3,4,5,1] => [1,2,7,3,4,5,6] => 2
[4,1,2,6,3,5,7] => [1,4,6,5,3,2,7] => [2,7,6,3,5,4,1] => [1,2,7,3,5,4,6] => 2
[4,1,2,6,5,3,7] => [1,4,6,3,2,5,7] => [2,6,5,3,7,4,1] => [1,2,6,3,7,4,5] => 2
[4,1,2,6,5,7,3] => [1,4,6,7,3,2,5] => [2,7,6,3,1,4,5] => [1,4,5,2,7,3,6] => 2
[4,1,2,6,7,3,5] => [1,4,6,3,2,5,7] => [2,6,5,3,7,4,1] => [1,2,6,3,7,4,5] => 2
[4,1,2,7,3,6,5] => [1,4,7,5,3,2,6] => [2,7,6,3,5,1,4] => [1,4,2,7,3,5,6] => 2
[4,1,2,7,5,6,3] => [1,4,7,3,2,5,6] => [2,6,5,3,7,1,4] => [1,4,2,6,3,7,5] => 2
[4,1,2,7,6,5,3] => [1,4,7,3,2,5,6] => [2,6,5,3,7,1,4] => [1,4,2,6,3,7,5] => 2
[4,1,3,2,5,6,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,1,3,2,5,7,6] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,1,3,2,6,5,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,1,3,2,6,7,5] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,1,3,5,2,6,7] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,1,3,5,2,7,6] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,1,3,5,6,2,7] => [1,4,5,6,2,3,7] => [2,6,7,3,4,5,1] => [1,2,6,7,3,4,5] => 2
[4,1,3,5,6,7,2] => [1,4,5,6,7,2,3] => [2,7,1,3,4,5,6] => [1,3,4,5,6,2,7] => 2
[4,1,3,5,7,2,6] => [1,4,5,7,6,2,3] => [2,7,1,3,4,6,5] => [1,3,4,6,2,7,5] => 2
[4,1,3,6,2,5,7] => [1,4,6,5,2,3,7] => [2,6,7,3,5,4,1] => [1,2,6,7,3,5,4] => 2
[4,1,3,6,2,7,5] => [1,4,6,7,5,2,3] => [2,7,1,3,6,4,5] => [1,3,6,2,7,4,5] => 2
[4,1,3,6,5,2,7] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,1,3,6,5,7,2] => [1,4,6,7,2,3,5] => [2,6,7,3,1,4,5] => [1,4,5,2,6,7,3] => 2
[4,1,3,6,7,2,5] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,1,3,6,7,5,2] => [1,4,6,5,7,2,3] => [2,7,1,3,5,4,6] => [1,3,5,2,7,4,6] => 2
[4,1,3,7,2,5,6] => [1,4,7,6,5,2,3] => [2,7,1,3,6,5,4] => [1,3,6,2,7,4,5] => 2
[4,1,3,7,2,6,5] => [1,4,7,5,2,3,6] => [2,6,7,3,5,1,4] => [1,4,2,6,7,3,5] => 2
[4,1,3,7,5,6,2] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,1,3,7,6,2,5] => [1,4,7,5,6,2,3] => [2,7,1,3,5,6,4] => [1,3,5,6,2,7,4] => 2
[4,1,3,7,6,5,2] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,1,5,2,3,6,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,1,5,2,3,7,6] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,1,5,2,6,3,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,1,5,2,6,7,3] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,1,5,3,2,6,7] => [1,4,3,5,2,6,7] => [2,6,4,3,5,7,1] => [1,2,6,3,5,7,4] => 3
[4,1,5,3,2,7,6] => [1,4,3,5,2,6,7] => [2,6,4,3,5,7,1] => [1,2,6,3,5,7,4] => 3
[4,1,5,3,6,2,7] => [1,4,3,5,6,2,7] => [2,7,4,3,5,6,1] => [1,2,7,3,5,6,4] => 2
[4,1,5,3,6,7,2] => [1,4,3,5,6,7,2] => [2,1,4,3,5,6,7] => [1,4,2,3,5,6,7] => 2
[4,1,5,3,7,2,6] => [1,4,3,5,7,6,2] => [2,1,4,3,5,7,6] => [1,4,2,3,5,7,6] => 2
[4,1,5,6,2,3,7] => [1,4,6,3,5,2,7] => [2,7,5,3,6,4,1] => [1,2,7,3,6,4,5] => 2
[4,1,5,6,3,2,7] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,1,5,6,3,7,2] => [1,4,6,7,2,3,5] => [2,6,7,3,1,4,5] => [1,4,5,2,6,7,3] => 2
[4,1,5,6,7,2,3] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,1,5,7,2,6,3] => [1,4,7,3,5,2,6] => [2,7,5,3,6,1,4] => [1,4,2,7,3,6,5] => 3
[4,1,5,7,3,6,2] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,1,5,7,6,3,2] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,1,6,2,3,5,7] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,1,6,2,5,3,7] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,1,6,2,7,3,5] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,1,6,2,7,5,3] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,1,6,3,2,5,7] => [1,4,3,6,5,2,7] => [2,7,4,3,6,5,1] => [1,2,7,3,6,4,5] => 2
[4,1,6,3,2,7,5] => [1,4,3,6,7,5,2] => [2,1,4,3,7,5,6] => [1,4,2,3,7,5,6] => 2
[4,1,6,3,5,2,7] => [1,4,3,6,2,5,7] => [2,6,4,3,7,5,1] => [1,2,6,3,7,4,5] => 2
[4,1,6,3,7,2,5] => [1,4,3,6,2,5,7] => [2,6,4,3,7,5,1] => [1,2,6,3,7,4,5] => 2
[4,1,6,3,7,5,2] => [1,4,3,6,5,7,2] => [2,1,4,3,6,5,7] => [1,4,2,3,6,5,7] => 2
[4,1,6,5,2,3,7] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,1,6,5,2,7,3] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,1,6,5,3,2,7] => [1,4,5,3,6,2,7] => [2,7,5,3,4,6,1] => [1,2,7,3,4,6,5] => 2
[4,1,6,7,2,3,5] => [1,4,7,5,2,3,6] => [2,6,7,3,5,1,4] => [1,4,2,6,7,3,5] => 2
[4,1,7,3,2,5,6] => [1,4,3,7,6,5,2] => [2,1,4,3,7,6,5] => [1,4,2,3,7,5,6] => 2
[4,1,7,3,6,2,5] => [1,4,3,7,5,6,2] => [2,1,4,3,6,7,5] => [1,4,2,3,6,7,5] => 2
[4,1,7,5,6,2,3] => [1,4,5,6,2,3,7] => [2,6,7,3,4,5,1] => [1,2,6,7,3,4,5] => 2
[4,1,7,6,2,5,3] => [1,4,6,5,2,3,7] => [2,6,7,3,5,4,1] => [1,2,6,7,3,5,4] => 2
[4,1,7,6,5,3,2] => [1,4,6,3,7,2,5] => [2,7,5,3,1,4,6] => [1,4,6,2,7,3,5] => 2
[4,2,1,3,5,6,7] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,2,1,3,5,7,6] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,2,1,3,6,5,7] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,2,1,3,6,7,5] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,2,1,5,3,6,7] => [1,4,5,3,2,6,7] => [2,6,5,3,4,7,1] => [1,2,6,3,4,7,5] => 2
[4,2,1,5,3,7,6] => [1,4,5,3,2,6,7] => [2,6,5,3,4,7,1] => [1,2,6,3,4,7,5] => 2
[4,2,1,5,6,3,7] => [1,4,5,6,3,2,7] => [2,7,6,3,4,5,1] => [1,2,7,3,4,5,6] => 2
[4,2,1,6,3,5,7] => [1,4,6,5,3,2,7] => [2,7,6,3,5,4,1] => [1,2,7,3,5,4,6] => 2
[4,2,1,6,5,3,7] => [1,4,6,3,2,5,7] => [2,6,5,3,7,4,1] => [1,2,6,3,7,4,5] => 2
[4,2,1,6,5,7,3] => [1,4,6,7,3,2,5] => [2,7,6,3,1,4,5] => [1,4,5,2,7,3,6] => 2
[4,2,1,6,7,3,5] => [1,4,6,3,2,5,7] => [2,6,5,3,7,4,1] => [1,2,6,3,7,4,5] => 2
[4,2,1,7,3,6,5] => [1,4,7,5,3,2,6] => [2,7,6,3,5,1,4] => [1,4,2,7,3,5,6] => 2
[4,2,1,7,5,6,3] => [1,4,7,3,2,5,6] => [2,6,5,3,7,1,4] => [1,4,2,6,3,7,5] => 2
[4,2,1,7,6,5,3] => [1,4,7,3,2,5,6] => [2,6,5,3,7,1,4] => [1,4,2,6,3,7,5] => 2
[4,2,3,1,5,6,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,2,3,1,5,7,6] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,2,3,1,6,5,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,2,3,1,6,7,5] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,2,3,5,1,6,7] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,2,3,5,1,7,6] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,2,3,5,6,1,7] => [1,4,5,6,2,3,7] => [2,6,7,3,4,5,1] => [1,2,6,7,3,4,5] => 2
[4,2,3,5,6,7,1] => [1,4,5,6,7,2,3] => [2,7,1,3,4,5,6] => [1,3,4,5,6,2,7] => 2
[4,2,3,5,7,1,6] => [1,4,5,7,6,2,3] => [2,7,1,3,4,6,5] => [1,3,4,6,2,7,5] => 2
[4,2,3,6,1,5,7] => [1,4,6,5,2,3,7] => [2,6,7,3,5,4,1] => [1,2,6,7,3,5,4] => 2
[4,2,3,6,1,7,5] => [1,4,6,7,5,2,3] => [2,7,1,3,6,4,5] => [1,3,6,2,7,4,5] => 2
[4,2,3,6,5,1,7] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,2,3,6,5,7,1] => [1,4,6,7,2,3,5] => [2,6,7,3,1,4,5] => [1,4,5,2,6,7,3] => 2
[4,2,3,6,7,1,5] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,2,3,6,7,5,1] => [1,4,6,5,7,2,3] => [2,7,1,3,5,4,6] => [1,3,5,2,7,4,6] => 2
[4,2,3,7,1,5,6] => [1,4,7,6,5,2,3] => [2,7,1,3,6,5,4] => [1,3,6,2,7,4,5] => 2
[4,2,3,7,1,6,5] => [1,4,7,5,2,3,6] => [2,6,7,3,5,1,4] => [1,4,2,6,7,3,5] => 2
[4,2,3,7,5,6,1] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,2,3,7,6,1,5] => [1,4,7,5,6,2,3] => [2,7,1,3,5,6,4] => [1,3,5,6,2,7,4] => 2
[4,2,3,7,6,5,1] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,2,5,1,3,6,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,2,5,1,3,7,6] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,2,5,1,6,3,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,2,5,1,6,7,3] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,2,5,3,1,6,7] => [1,4,3,5,2,6,7] => [2,6,4,3,5,7,1] => [1,2,6,3,5,7,4] => 3
[4,2,5,3,1,7,6] => [1,4,3,5,2,6,7] => [2,6,4,3,5,7,1] => [1,2,6,3,5,7,4] => 3
[4,2,5,3,6,1,7] => [1,4,3,5,6,2,7] => [2,7,4,3,5,6,1] => [1,2,7,3,5,6,4] => 2
[4,2,5,3,6,7,1] => [1,4,3,5,6,7,2] => [2,1,4,3,5,6,7] => [1,4,2,3,5,6,7] => 2
[4,2,5,3,7,1,6] => [1,4,3,5,7,6,2] => [2,1,4,3,5,7,6] => [1,4,2,3,5,7,6] => 2
[4,2,5,6,1,3,7] => [1,4,6,3,5,2,7] => [2,7,5,3,6,4,1] => [1,2,7,3,6,4,5] => 2
[4,2,5,6,3,1,7] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,2,5,6,3,7,1] => [1,4,6,7,2,3,5] => [2,6,7,3,1,4,5] => [1,4,5,2,6,7,3] => 2
[4,2,5,6,7,1,3] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,2,5,7,1,6,3] => [1,4,7,3,5,2,6] => [2,7,5,3,6,1,4] => [1,4,2,7,3,6,5] => 3
[4,2,5,7,3,6,1] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,2,5,7,6,3,1] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,2,6,1,3,5,7] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,2,6,1,5,3,7] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,2,6,1,7,3,5] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,2,6,1,7,5,3] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,2,6,3,1,5,7] => [1,4,3,6,5,2,7] => [2,7,4,3,6,5,1] => [1,2,7,3,6,4,5] => 2
[4,2,6,3,1,7,5] => [1,4,3,6,7,5,2] => [2,1,4,3,7,5,6] => [1,4,2,3,7,5,6] => 2
[4,2,6,3,5,1,7] => [1,4,3,6,2,5,7] => [2,6,4,3,7,5,1] => [1,2,6,3,7,4,5] => 2
[4,2,6,3,7,1,5] => [1,4,3,6,2,5,7] => [2,6,4,3,7,5,1] => [1,2,6,3,7,4,5] => 2
[4,2,6,3,7,5,1] => [1,4,3,6,5,7,2] => [2,1,4,3,6,5,7] => [1,4,2,3,6,5,7] => 2
[4,2,6,5,1,3,7] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,2,6,5,1,7,3] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,2,6,5,3,1,7] => [1,4,5,3,6,2,7] => [2,7,5,3,4,6,1] => [1,2,7,3,4,6,5] => 2
[4,2,6,7,1,3,5] => [1,4,7,5,2,3,6] => [2,6,7,3,5,1,4] => [1,4,2,6,7,3,5] => 2
[4,2,7,3,1,5,6] => [1,4,3,7,6,5,2] => [2,1,4,3,7,6,5] => [1,4,2,3,7,5,6] => 2
[4,2,7,3,6,1,5] => [1,4,3,7,5,6,2] => [2,1,4,3,6,7,5] => [1,4,2,3,6,7,5] => 2
[4,2,7,5,6,1,3] => [1,4,5,6,2,3,7] => [2,6,7,3,4,5,1] => [1,2,6,7,3,4,5] => 2
[4,2,7,6,1,5,3] => [1,4,6,5,2,3,7] => [2,6,7,3,5,4,1] => [1,2,6,7,3,5,4] => 2
[4,2,7,6,5,3,1] => [1,4,6,3,7,2,5] => [2,7,5,3,1,4,6] => [1,4,6,2,7,3,5] => 2
[4,3,1,2,5,6,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,1,2,5,7,6] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,1,2,6,5,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,1,2,6,7,5] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,1,5,2,6,7] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,3,1,5,2,7,6] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,3,1,5,6,2,7] => [1,4,5,6,2,3,7] => [2,6,7,3,4,5,1] => [1,2,6,7,3,4,5] => 2
[4,3,1,5,6,7,2] => [1,4,5,6,7,2,3] => [2,7,1,3,4,5,6] => [1,3,4,5,6,2,7] => 2
[4,3,1,5,7,2,6] => [1,4,5,7,6,2,3] => [2,7,1,3,4,6,5] => [1,3,4,6,2,7,5] => 2
[4,3,1,6,2,5,7] => [1,4,6,5,2,3,7] => [2,6,7,3,5,4,1] => [1,2,6,7,3,5,4] => 2
[4,3,1,6,2,7,5] => [1,4,6,7,5,2,3] => [2,7,1,3,6,4,5] => [1,3,6,2,7,4,5] => 2
[4,3,1,6,5,2,7] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,3,1,6,5,7,2] => [1,4,6,7,2,3,5] => [2,6,7,3,1,4,5] => [1,4,5,2,6,7,3] => 2
[4,3,1,6,7,2,5] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,3,1,6,7,5,2] => [1,4,6,5,7,2,3] => [2,7,1,3,5,4,6] => [1,3,5,2,7,4,6] => 2
[4,3,1,7,2,5,6] => [1,4,7,6,5,2,3] => [2,7,1,3,6,5,4] => [1,3,6,2,7,4,5] => 2
[4,3,1,7,2,6,5] => [1,4,7,5,2,3,6] => [2,6,7,3,5,1,4] => [1,4,2,6,7,3,5] => 2
[4,3,1,7,5,6,2] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,3,1,7,6,2,5] => [1,4,7,5,6,2,3] => [2,7,1,3,5,6,4] => [1,3,5,6,2,7,4] => 2
[4,3,1,7,6,5,2] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,3,2,1,5,6,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,2,1,5,7,6] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,2,1,6,5,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,2,1,6,7,5] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,2,5,1,6,7] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,3,2,5,1,7,6] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,3,2,5,6,1,7] => [1,4,5,6,2,3,7] => [2,6,7,3,4,5,1] => [1,2,6,7,3,4,5] => 2
[4,3,2,5,6,7,1] => [1,4,5,6,7,2,3] => [2,7,1,3,4,5,6] => [1,3,4,5,6,2,7] => 2
[4,3,2,5,7,1,6] => [1,4,5,7,6,2,3] => [2,7,1,3,4,6,5] => [1,3,4,6,2,7,5] => 2
[4,3,2,6,1,5,7] => [1,4,6,5,2,3,7] => [2,6,7,3,5,4,1] => [1,2,6,7,3,5,4] => 2
[4,3,2,6,1,7,5] => [1,4,6,7,5,2,3] => [2,7,1,3,6,4,5] => [1,3,6,2,7,4,5] => 2
[4,3,2,6,5,1,7] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,3,2,6,5,7,1] => [1,4,6,7,2,3,5] => [2,6,7,3,1,4,5] => [1,4,5,2,6,7,3] => 2
[4,3,2,6,7,1,5] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,3,2,6,7,5,1] => [1,4,6,5,7,2,3] => [2,7,1,3,5,4,6] => [1,3,5,2,7,4,6] => 2
[4,3,2,7,1,5,6] => [1,4,7,6,5,2,3] => [2,7,1,3,6,5,4] => [1,3,6,2,7,4,5] => 2
[4,3,2,7,1,6,5] => [1,4,7,5,2,3,6] => [2,6,7,3,5,1,4] => [1,4,2,6,7,3,5] => 2
[4,3,2,7,5,6,1] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,3,2,7,6,1,5] => [1,4,7,5,6,2,3] => [2,7,1,3,5,6,4] => [1,3,5,6,2,7,4] => 2
[4,3,2,7,6,5,1] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,3,5,1,2,6,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,5,1,2,7,6] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,5,1,6,2,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,5,1,6,7,2] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,5,2,1,6,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,5,2,1,7,6] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,5,2,6,1,7] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,5,2,6,7,1] => [1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 2
[4,3,5,6,1,2,7] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,3,5,6,1,7,2] => [1,4,6,7,2,3,5] => [2,6,7,3,1,4,5] => [1,4,5,2,6,7,3] => 2
[4,3,5,6,2,1,7] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,3,5,6,2,7,1] => [1,4,6,7,2,3,5] => [2,6,7,3,1,4,5] => [1,4,5,2,6,7,3] => 2
[4,3,5,6,7,1,2] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,3,5,6,7,2,1] => [1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 2
[4,3,5,7,1,6,2] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,3,5,7,2,6,1] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,3,5,7,6,1,2] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,3,5,7,6,2,1] => [1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 2
[4,3,6,1,2,5,7] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,3,6,1,5,2,7] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,3,6,1,7,2,5] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,3,6,1,7,5,2] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,3,6,2,1,5,7] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,3,6,2,5,1,7] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,3,6,2,7,1,5] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,3,6,2,7,5,1] => [1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 2
[4,3,6,5,1,2,7] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,3,6,5,1,7,2] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,3,6,5,2,1,7] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,3,6,5,2,7,1] => [1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 2
[4,3,6,7,1,2,5] => [1,4,7,5,2,3,6] => [2,6,7,3,5,1,4] => [1,4,2,6,7,3,5] => 2
[4,3,6,7,2,1,5] => [1,4,7,5,2,3,6] => [2,6,7,3,5,1,4] => [1,4,2,6,7,3,5] => 2
[4,3,7,5,6,1,2] => [1,4,5,6,2,3,7] => [2,6,7,3,4,5,1] => [1,2,6,7,3,4,5] => 2
[4,3,7,5,6,2,1] => [1,4,5,6,2,3,7] => [2,6,7,3,4,5,1] => [1,2,6,7,3,4,5] => 2
[4,3,7,6,1,5,2] => [1,4,6,5,2,3,7] => [2,6,7,3,5,4,1] => [1,2,6,7,3,5,4] => 2
[4,3,7,6,2,5,1] => [1,4,6,5,2,3,7] => [2,6,7,3,5,4,1] => [1,2,6,7,3,5,4] => 2
[4,5,1,2,3,6,7] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,1,2,3,7,6] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,1,2,6,3,7] => [1,4,2,5,6,3,7] => [2,4,7,3,5,6,1] => [1,2,4,7,3,5,6] => 2
[4,5,1,2,6,7,3] => [1,4,2,5,6,7,3] => [2,4,1,3,5,6,7] => [1,3,5,6,7,2,4] => 2
[4,5,1,2,7,3,6] => [1,4,2,5,7,6,3] => [2,4,1,3,5,7,6] => [1,3,5,7,2,4,6] => 2
[4,5,1,3,2,6,7] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,5,1,3,2,7,6] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,5,1,3,6,2,7] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,5,1,3,6,7,2] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,5,1,6,2,3,7] => [1,4,6,3,2,5,7] => [2,6,5,3,7,4,1] => [1,2,6,3,7,4,5] => 2
[4,5,1,6,2,7,3] => [1,4,6,7,3,2,5] => [2,7,6,3,1,4,5] => [1,4,5,2,7,3,6] => 2
[4,5,1,6,3,2,7] => [1,4,6,2,5,3,7] => [2,5,7,3,6,4,1] => [1,2,5,7,3,6,4] => 3
[4,5,1,6,3,7,2] => [1,4,6,7,2,5,3] => [2,6,1,3,7,4,5] => [1,3,7,2,6,4,5] => 3
[4,5,1,6,7,2,3] => [1,4,6,2,5,7,3] => [2,5,1,3,6,4,7] => [1,3,6,2,5,4,7] => 3
[4,5,1,6,7,3,2] => [1,4,6,3,2,5,7] => [2,6,5,3,7,4,1] => [1,2,6,3,7,4,5] => 2
[4,5,1,7,2,6,3] => [1,4,7,3,2,5,6] => [2,6,5,3,7,1,4] => [1,4,2,6,3,7,5] => 2
[4,5,1,7,3,2,6] => [1,4,7,6,2,5,3] => [2,6,1,3,7,5,4] => [1,3,7,2,6,4,5] => 3
[4,5,1,7,3,6,2] => [1,4,7,2,5,3,6] => [2,5,7,3,6,1,4] => [1,4,2,5,7,3,6] => 2
[4,5,1,7,6,2,3] => [1,4,7,3,2,5,6] => [2,6,5,3,7,1,4] => [1,4,2,6,3,7,5] => 2
[4,5,1,7,6,3,2] => [1,4,7,2,5,6,3] => [2,5,1,3,6,7,4] => [1,3,6,7,2,5,4] => 3
[4,5,2,1,3,6,7] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,2,1,3,7,6] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,2,1,6,3,7] => [1,4,2,5,6,3,7] => [2,4,7,3,5,6,1] => [1,2,4,7,3,5,6] => 2
[4,5,2,1,6,7,3] => [1,4,2,5,6,7,3] => [2,4,1,3,5,6,7] => [1,3,5,6,7,2,4] => 2
[4,5,2,1,7,3,6] => [1,4,2,5,7,6,3] => [2,4,1,3,5,7,6] => [1,3,5,7,2,4,6] => 2
[4,5,2,3,1,6,7] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,5,2,3,1,7,6] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,5,2,3,6,1,7] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,5,2,3,6,7,1] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 2
[4,5,2,6,1,3,7] => [1,4,6,3,2,5,7] => [2,6,5,3,7,4,1] => [1,2,6,3,7,4,5] => 2
[4,5,2,6,1,7,3] => [1,4,6,7,3,2,5] => [2,7,6,3,1,4,5] => [1,4,5,2,7,3,6] => 2
[4,5,2,6,3,1,7] => [1,4,6,2,5,3,7] => [2,5,7,3,6,4,1] => [1,2,5,7,3,6,4] => 3
[4,5,2,6,3,7,1] => [1,4,6,7,2,5,3] => [2,6,1,3,7,4,5] => [1,3,7,2,6,4,5] => 3
[4,5,2,6,7,1,3] => [1,4,6,2,5,7,3] => [2,5,1,3,6,4,7] => [1,3,6,2,5,4,7] => 3
[4,5,2,6,7,3,1] => [1,4,6,3,2,5,7] => [2,6,5,3,7,4,1] => [1,2,6,3,7,4,5] => 2
[4,5,2,7,1,6,3] => [1,4,7,3,2,5,6] => [2,6,5,3,7,1,4] => [1,4,2,6,3,7,5] => 2
[4,5,2,7,3,1,6] => [1,4,7,6,2,5,3] => [2,6,1,3,7,5,4] => [1,3,7,2,6,4,5] => 3
[4,5,2,7,3,6,1] => [1,4,7,2,5,3,6] => [2,5,7,3,6,1,4] => [1,4,2,5,7,3,6] => 2
[4,5,2,7,6,1,3] => [1,4,7,3,2,5,6] => [2,6,5,3,7,1,4] => [1,4,2,6,3,7,5] => 2
[4,5,2,7,6,3,1] => [1,4,7,2,5,6,3] => [2,5,1,3,6,7,4] => [1,3,6,7,2,5,4] => 3
[4,5,3,1,2,6,7] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,3,1,2,7,6] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,3,1,6,2,7] => [1,4,2,5,6,3,7] => [2,4,7,3,5,6,1] => [1,2,4,7,3,5,6] => 2
[4,5,3,1,6,7,2] => [1,4,2,5,6,7,3] => [2,4,1,3,5,6,7] => [1,3,5,6,7,2,4] => 2
[4,5,3,1,7,2,6] => [1,4,2,5,7,6,3] => [2,4,1,3,5,7,6] => [1,3,5,7,2,4,6] => 2
[4,5,3,2,1,6,7] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,3,2,1,7,6] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,3,2,6,1,7] => [1,4,2,5,6,3,7] => [2,4,7,3,5,6,1] => [1,2,4,7,3,5,6] => 2
[4,5,3,2,6,7,1] => [1,4,2,5,6,7,3] => [2,4,1,3,5,6,7] => [1,3,5,6,7,2,4] => 2
[4,5,3,2,7,1,6] => [1,4,2,5,7,6,3] => [2,4,1,3,5,7,6] => [1,3,5,7,2,4,6] => 2
[4,5,3,6,1,2,7] => [1,4,6,2,5,3,7] => [2,5,7,3,6,4,1] => [1,2,5,7,3,6,4] => 3
[4,5,3,6,1,7,2] => [1,4,6,7,2,5,3] => [2,6,1,3,7,4,5] => [1,3,7,2,6,4,5] => 3
[4,5,3,6,2,1,7] => [1,4,6,2,5,3,7] => [2,5,7,3,6,4,1] => [1,2,5,7,3,6,4] => 3
[4,5,3,6,2,7,1] => [1,4,6,7,2,5,3] => [2,6,1,3,7,4,5] => [1,3,7,2,6,4,5] => 3
[4,5,3,6,7,1,2] => [1,4,6,2,5,7,3] => [2,5,1,3,6,4,7] => [1,3,6,2,5,4,7] => 3
[4,5,3,6,7,2,1] => [1,4,6,2,5,7,3] => [2,5,1,3,6,4,7] => [1,3,6,2,5,4,7] => 3
[4,5,3,7,1,2,6] => [1,4,7,6,2,5,3] => [2,6,1,3,7,5,4] => [1,3,7,2,6,4,5] => 3
[4,5,3,7,1,6,2] => [1,4,7,2,5,3,6] => [2,5,7,3,6,1,4] => [1,4,2,5,7,3,6] => 2
[4,5,3,7,2,1,6] => [1,4,7,6,2,5,3] => [2,6,1,3,7,5,4] => [1,3,7,2,6,4,5] => 3
[4,5,3,7,2,6,1] => [1,4,7,2,5,3,6] => [2,5,7,3,6,1,4] => [1,4,2,5,7,3,6] => 2
[4,5,3,7,6,1,2] => [1,4,7,2,5,6,3] => [2,5,1,3,6,7,4] => [1,3,6,7,2,5,4] => 3
[4,5,3,7,6,2,1] => [1,4,7,2,5,6,3] => [2,5,1,3,6,7,4] => [1,3,6,7,2,5,4] => 3
[4,5,6,1,2,3,7] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,6,1,2,7,3] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,6,1,3,2,7] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,6,1,3,7,2] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,6,2,1,3,7] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,6,2,1,7,3] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,6,2,3,1,7] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,6,2,3,7,1] => [1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 2
[4,5,6,3,1,2,7] => [1,4,3,6,2,5,7] => [2,6,4,3,7,5,1] => [1,2,6,3,7,4,5] => 2
[4,5,6,3,2,1,7] => [1,4,3,6,2,5,7] => [2,6,4,3,7,5,1] => [1,2,6,3,7,4,5] => 2
[4,5,6,3,7,1,2] => [1,4,3,6,2,5,7] => [2,6,4,3,7,5,1] => [1,2,6,3,7,4,5] => 2
[4,5,6,3,7,2,1] => [1,4,3,6,2,5,7] => [2,6,4,3,7,5,1] => [1,2,6,3,7,4,5] => 2
[4,5,6,7,1,3,2] => [1,4,7,2,5,3,6] => [2,5,7,3,6,1,4] => [1,4,2,5,7,3,6] => 2
[4,5,6,7,2,3,1] => [1,4,7,2,5,3,6] => [2,5,7,3,6,1,4] => [1,4,2,5,7,3,6] => 2
[4,5,6,7,3,1,2] => [1,4,7,2,5,3,6] => [2,5,7,3,6,1,4] => [1,4,2,5,7,3,6] => 2
[4,5,6,7,3,2,1] => [1,4,7,2,5,3,6] => [2,5,7,3,6,1,4] => [1,4,2,5,7,3,6] => 2
[4,5,7,1,6,2,3] => [1,4,2,5,6,3,7] => [2,4,7,3,5,6,1] => [1,2,4,7,3,5,6] => 2
[4,5,7,1,6,3,2] => [1,4,2,5,6,3,7] => [2,4,7,3,5,6,1] => [1,2,4,7,3,5,6] => 2
[4,5,7,2,6,1,3] => [1,4,2,5,6,3,7] => [2,4,7,3,5,6,1] => [1,2,4,7,3,5,6] => 2
[4,5,7,2,6,3,1] => [1,4,2,5,6,3,7] => [2,4,7,3,5,6,1] => [1,2,4,7,3,5,6] => 2
[4,5,7,6,1,2,3] => [1,4,6,2,5,3,7] => [2,5,7,3,6,4,1] => [1,2,5,7,3,6,4] => 3
[4,5,7,6,1,3,2] => [1,4,6,3,7,2,5] => [2,7,5,3,1,4,6] => [1,4,6,2,7,3,5] => 2
[4,5,7,6,2,1,3] => [1,4,6,2,5,3,7] => [2,5,7,3,6,4,1] => [1,2,5,7,3,6,4] => 3
[4,5,7,6,2,3,1] => [1,4,6,3,7,2,5] => [2,7,5,3,1,4,6] => [1,4,6,2,7,3,5] => 2
[4,5,7,6,3,1,2] => [1,4,6,2,5,3,7] => [2,5,7,3,6,4,1] => [1,2,5,7,3,6,4] => 3
[4,5,7,6,3,2,1] => [1,4,6,2,5,3,7] => [2,5,7,3,6,4,1] => [1,2,5,7,3,6,4] => 3
[4,6,1,2,3,5,7] => [1,4,2,6,5,3,7] => [2,4,7,3,6,5,1] => [1,2,4,7,3,6,5] => 3
[4,6,1,2,3,7,5] => [1,4,2,6,7,5,3] => [2,4,1,3,7,5,6] => [1,3,7,2,4,5,6] => 2
[4,6,1,2,5,3,7] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,1,2,7,3,5] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,1,2,7,5,3] => [1,4,2,6,5,7,3] => [2,4,1,3,6,5,7] => [1,3,6,2,4,5,7] => 2
[4,6,1,3,2,5,7] => [1,4,3,2,6,5,7] => [2,5,4,3,7,6,1] => [1,2,5,3,7,4,6] => 2
[4,6,1,3,5,2,7] => [1,4,3,2,6,5,7] => [2,5,4,3,7,6,1] => [1,2,5,3,7,4,6] => 2
[4,6,1,3,7,2,5] => [1,4,3,2,6,5,7] => [2,5,4,3,7,6,1] => [1,2,5,3,7,4,6] => 2
[4,6,1,3,7,5,2] => [1,4,3,2,6,5,7] => [2,5,4,3,7,6,1] => [1,2,5,3,7,4,6] => 2
[4,6,1,5,2,3,7] => [1,4,5,2,6,3,7] => [2,5,7,3,4,6,1] => [1,2,5,7,3,4,6] => 2
[4,6,1,5,2,7,3] => [1,4,5,2,6,7,3] => [2,5,1,3,4,6,7] => [1,3,4,6,7,2,5] => 2
[4,6,1,5,3,2,7] => [1,4,5,3,2,6,7] => [2,6,5,3,4,7,1] => [1,2,6,3,4,7,5] => 2
[4,6,1,5,3,7,2] => [1,4,5,3,2,6,7] => [2,6,5,3,4,7,1] => [1,2,6,3,4,7,5] => 2
[4,6,1,5,7,3,2] => [1,4,5,7,2,6,3] => [2,6,1,3,4,7,5] => [1,3,4,7,2,6,5] => 3
[4,6,1,7,2,3,5] => [1,4,7,5,2,6,3] => [2,6,1,3,5,7,4] => [1,3,5,7,2,6,4] => 3
[4,6,1,7,3,2,5] => [1,4,7,5,3,2,6] => [2,7,6,3,5,1,4] => [1,4,2,7,3,5,6] => 2
[4,6,1,7,3,5,2] => [1,4,7,2,6,5,3] => [2,5,1,3,7,6,4] => [1,3,7,2,5,4,6] => 3
[4,6,2,1,3,5,7] => [1,4,2,6,5,3,7] => [2,4,7,3,6,5,1] => [1,2,4,7,3,6,5] => 3
[4,6,2,1,3,7,5] => [1,4,2,6,7,5,3] => [2,4,1,3,7,5,6] => [1,3,7,2,4,5,6] => 2
[4,6,2,1,5,3,7] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,2,1,7,3,5] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,2,1,7,5,3] => [1,4,2,6,5,7,3] => [2,4,1,3,6,5,7] => [1,3,6,2,4,5,7] => 2
[4,6,2,3,1,5,7] => [1,4,3,2,6,5,7] => [2,5,4,3,7,6,1] => [1,2,5,3,7,4,6] => 2
[4,6,2,3,5,1,7] => [1,4,3,2,6,5,7] => [2,5,4,3,7,6,1] => [1,2,5,3,7,4,6] => 2
[4,6,2,3,7,1,5] => [1,4,3,2,6,5,7] => [2,5,4,3,7,6,1] => [1,2,5,3,7,4,6] => 2
[4,6,2,3,7,5,1] => [1,4,3,2,6,5,7] => [2,5,4,3,7,6,1] => [1,2,5,3,7,4,6] => 2
[4,6,2,5,1,3,7] => [1,4,5,2,6,3,7] => [2,5,7,3,4,6,1] => [1,2,5,7,3,4,6] => 2
[4,6,2,5,1,7,3] => [1,4,5,2,6,7,3] => [2,5,1,3,4,6,7] => [1,3,4,6,7,2,5] => 2
[4,6,2,5,3,1,7] => [1,4,5,3,2,6,7] => [2,6,5,3,4,7,1] => [1,2,6,3,4,7,5] => 2
[4,6,2,5,3,7,1] => [1,4,5,3,2,6,7] => [2,6,5,3,4,7,1] => [1,2,6,3,4,7,5] => 2
[4,6,2,5,7,3,1] => [1,4,5,7,2,6,3] => [2,6,1,3,4,7,5] => [1,3,4,7,2,6,5] => 3
[4,6,2,7,1,3,5] => [1,4,7,5,2,6,3] => [2,6,1,3,5,7,4] => [1,3,5,7,2,6,4] => 3
[4,6,2,7,3,1,5] => [1,4,7,5,3,2,6] => [2,7,6,3,5,1,4] => [1,4,2,7,3,5,6] => 2
[4,6,2,7,3,5,1] => [1,4,7,2,6,5,3] => [2,5,1,3,7,6,4] => [1,3,7,2,5,4,6] => 3
[4,6,3,1,2,5,7] => [1,4,2,6,5,3,7] => [2,4,7,3,6,5,1] => [1,2,4,7,3,6,5] => 3
[4,6,3,1,2,7,5] => [1,4,2,6,7,5,3] => [2,4,1,3,7,5,6] => [1,3,7,2,4,5,6] => 2
[4,6,3,1,5,2,7] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,3,1,7,2,5] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,3,1,7,5,2] => [1,4,2,6,5,7,3] => [2,4,1,3,6,5,7] => [1,3,6,2,4,5,7] => 2
[4,6,3,2,1,5,7] => [1,4,2,6,5,3,7] => [2,4,7,3,6,5,1] => [1,2,4,7,3,6,5] => 3
[4,6,3,2,1,7,5] => [1,4,2,6,7,5,3] => [2,4,1,3,7,5,6] => [1,3,7,2,4,5,6] => 2
[4,6,3,2,5,1,7] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,3,2,7,1,5] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,3,2,7,5,1] => [1,4,2,6,5,7,3] => [2,4,1,3,6,5,7] => [1,3,6,2,4,5,7] => 2
[4,6,3,5,1,2,7] => [1,4,5,2,6,3,7] => [2,5,7,3,4,6,1] => [1,2,5,7,3,4,6] => 2
[4,6,3,5,1,7,2] => [1,4,5,2,6,7,3] => [2,5,1,3,4,6,7] => [1,3,4,6,7,2,5] => 2
[4,6,3,5,2,1,7] => [1,4,5,2,6,3,7] => [2,5,7,3,4,6,1] => [1,2,5,7,3,4,6] => 2
[4,6,3,5,2,7,1] => [1,4,5,2,6,7,3] => [2,5,1,3,4,6,7] => [1,3,4,6,7,2,5] => 2
[4,6,3,5,7,1,2] => [1,4,5,7,2,6,3] => [2,6,1,3,4,7,5] => [1,3,4,7,2,6,5] => 3
[4,6,3,5,7,2,1] => [1,4,5,7,2,6,3] => [2,6,1,3,4,7,5] => [1,3,4,7,2,6,5] => 3
[4,6,3,7,1,2,5] => [1,4,7,5,2,6,3] => [2,6,1,3,5,7,4] => [1,3,5,7,2,6,4] => 3
[4,6,3,7,1,5,2] => [1,4,7,2,6,5,3] => [2,5,1,3,7,6,4] => [1,3,7,2,5,4,6] => 3
[4,6,3,7,2,1,5] => [1,4,7,5,2,6,3] => [2,6,1,3,5,7,4] => [1,3,5,7,2,6,4] => 3
[4,6,3,7,2,5,1] => [1,4,7,2,6,5,3] => [2,5,1,3,7,6,4] => [1,3,7,2,5,4,6] => 3
[4,6,5,1,2,3,7] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,5,1,3,2,7] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,5,1,7,2,3] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,5,1,7,3,2] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,5,2,1,3,7] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,5,2,3,1,7] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,5,2,7,1,3] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,5,2,7,3,1] => [1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 2
[4,6,5,3,1,2,7] => [1,4,3,5,2,6,7] => [2,6,4,3,5,7,1] => [1,2,6,3,5,7,4] => 3
[4,6,5,3,1,7,2] => [1,4,3,5,2,6,7] => [2,6,4,3,5,7,1] => [1,2,6,3,5,7,4] => 3
[4,6,5,3,2,1,7] => [1,4,3,5,2,6,7] => [2,6,4,3,5,7,1] => [1,2,6,3,5,7,4] => 3
[4,6,5,3,2,7,1] => [1,4,3,5,2,6,7] => [2,6,4,3,5,7,1] => [1,2,6,3,5,7,4] => 3
[4,6,5,7,1,2,3] => [1,4,7,3,5,2,6] => [2,7,5,3,6,1,4] => [1,4,2,7,3,6,5] => 3
[4,6,5,7,2,1,3] => [1,4,7,3,5,2,6] => [2,7,5,3,6,1,4] => [1,4,2,7,3,6,5] => 3
[4,6,7,1,2,5,3] => [1,4,2,6,5,3,7] => [2,4,7,3,6,5,1] => [1,2,4,7,3,6,5] => 3
[4,6,7,1,3,5,2] => [1,4,2,6,5,3,7] => [2,4,7,3,6,5,1] => [1,2,4,7,3,6,5] => 3
[4,6,7,2,1,5,3] => [1,4,2,6,5,3,7] => [2,4,7,3,6,5,1] => [1,2,4,7,3,6,5] => 3
[4,6,7,2,3,5,1] => [1,4,2,6,5,3,7] => [2,4,7,3,6,5,1] => [1,2,4,7,3,6,5] => 3
[4,6,7,5,1,2,3] => [1,4,5,2,6,3,7] => [2,5,7,3,4,6,1] => [1,2,5,7,3,4,6] => 2
[4,6,7,5,1,3,2] => [1,4,5,2,6,3,7] => [2,5,7,3,4,6,1] => [1,2,5,7,3,4,6] => 2
[4,6,7,5,2,1,3] => [1,4,5,2,6,3,7] => [2,5,7,3,4,6,1] => [1,2,5,7,3,4,6] => 2
[4,6,7,5,2,3,1] => [1,4,5,2,6,3,7] => [2,5,7,3,4,6,1] => [1,2,5,7,3,4,6] => 2
[4,7,1,2,3,5,6] => [1,4,2,7,6,5,3] => [2,4,1,3,7,6,5] => [1,3,7,2,4,5,6] => 2
[4,7,1,2,6,3,5] => [1,4,2,7,5,6,3] => [2,4,1,3,6,7,5] => [1,3,6,7,2,4,5] => 2
[4,7,1,5,2,3,6] => [1,4,5,2,7,6,3] => [2,5,1,3,4,7,6] => [1,3,4,7,2,5,6] => 2
[4,7,1,5,6,2,3] => [1,4,5,6,2,7,3] => [2,6,1,3,4,5,7] => [1,3,4,5,7,2,6] => 2
[4,7,1,5,6,3,2] => [1,4,5,6,3,2,7] => [2,7,6,3,4,5,1] => [1,2,7,3,4,5,6] => 2
[4,7,1,6,2,5,3] => [1,4,6,5,2,7,3] => [2,6,1,3,5,4,7] => [1,3,5,2,6,4,7] => 2
[4,7,1,6,3,2,5] => [1,4,6,2,7,5,3] => [2,5,1,3,7,4,6] => [1,3,7,2,5,4,6] => 3
[4,7,1,6,3,5,2] => [1,4,6,5,3,2,7] => [2,7,6,3,5,4,1] => [1,2,7,3,5,4,6] => 2
[4,7,1,6,5,2,3] => [1,4,6,2,7,3,5] => [2,5,7,3,1,4,6] => [1,4,6,2,5,7,3] => 3
[4,7,2,1,3,5,6] => [1,4,2,7,6,5,3] => [2,4,1,3,7,6,5] => [1,3,7,2,4,5,6] => 2
[4,7,2,1,6,3,5] => [1,4,2,7,5,6,3] => [2,4,1,3,6,7,5] => [1,3,6,7,2,4,5] => 2
[4,7,2,5,1,3,6] => [1,4,5,2,7,6,3] => [2,5,1,3,4,7,6] => [1,3,4,7,2,5,6] => 2
[4,7,2,5,6,1,3] => [1,4,5,6,2,7,3] => [2,6,1,3,4,5,7] => [1,3,4,5,7,2,6] => 2
[4,7,2,5,6,3,1] => [1,4,5,6,3,2,7] => [2,7,6,3,4,5,1] => [1,2,7,3,4,5,6] => 2
[4,7,2,6,1,5,3] => [1,4,6,5,2,7,3] => [2,6,1,3,5,4,7] => [1,3,5,2,6,4,7] => 2
[4,7,2,6,3,1,5] => [1,4,6,2,7,5,3] => [2,5,1,3,7,4,6] => [1,3,7,2,5,4,6] => 3
[4,7,2,6,3,5,1] => [1,4,6,5,3,2,7] => [2,7,6,3,5,4,1] => [1,2,7,3,5,4,6] => 2
[4,7,2,6,5,1,3] => [1,4,6,2,7,3,5] => [2,5,7,3,1,4,6] => [1,4,6,2,5,7,3] => 3
[4,7,3,1,2,5,6] => [1,4,2,7,6,5,3] => [2,4,1,3,7,6,5] => [1,3,7,2,4,5,6] => 2
[4,7,3,1,6,2,5] => [1,4,2,7,5,6,3] => [2,4,1,3,6,7,5] => [1,3,6,7,2,4,5] => 2
[4,7,3,2,1,5,6] => [1,4,2,7,6,5,3] => [2,4,1,3,7,6,5] => [1,3,7,2,4,5,6] => 2
[4,7,3,2,6,1,5] => [1,4,2,7,5,6,3] => [2,4,1,3,6,7,5] => [1,3,6,7,2,4,5] => 2
[4,7,3,5,1,2,6] => [1,4,5,2,7,6,3] => [2,5,1,3,4,7,6] => [1,3,4,7,2,5,6] => 2
[4,7,3,5,2,1,6] => [1,4,5,2,7,6,3] => [2,5,1,3,4,7,6] => [1,3,4,7,2,5,6] => 2
[4,7,3,5,6,1,2] => [1,4,5,6,2,7,3] => [2,6,1,3,4,5,7] => [1,3,4,5,7,2,6] => 2
[4,7,3,5,6,2,1] => [1,4,5,6,2,7,3] => [2,6,1,3,4,5,7] => [1,3,4,5,7,2,6] => 2
[4,7,3,6,1,2,5] => [1,4,6,2,7,5,3] => [2,5,1,3,7,4,6] => [1,3,7,2,5,4,6] => 3
[4,7,3,6,1,5,2] => [1,4,6,5,2,7,3] => [2,6,1,3,5,4,7] => [1,3,5,2,6,4,7] => 2
[4,7,3,6,2,1,5] => [1,4,6,2,7,5,3] => [2,5,1,3,7,4,6] => [1,3,7,2,5,4,6] => 3
[4,7,3,6,2,5,1] => [1,4,6,5,2,7,3] => [2,6,1,3,5,4,7] => [1,3,5,2,6,4,7] => 2
[4,7,3,6,5,1,2] => [1,4,6,2,7,3,5] => [2,5,7,3,1,4,6] => [1,4,6,2,5,7,3] => 3
[4,7,3,6,5,2,1] => [1,4,6,2,7,3,5] => [2,5,7,3,1,4,6] => [1,4,6,2,5,7,3] => 3
[4,7,5,3,6,1,2] => [1,4,3,5,6,2,7] => [2,7,4,3,5,6,1] => [1,2,7,3,5,6,4] => 2
[4,7,5,3,6,2,1] => [1,4,3,5,6,2,7] => [2,7,4,3,5,6,1] => [1,2,7,3,5,6,4] => 2
[4,7,5,6,1,2,3] => [1,4,6,2,7,3,5] => [2,5,7,3,1,4,6] => [1,4,6,2,5,7,3] => 3
[4,7,5,6,1,3,2] => [1,4,6,3,5,2,7] => [2,7,5,3,6,4,1] => [1,2,7,3,6,4,5] => 2
[4,7,5,6,2,1,3] => [1,4,6,2,7,3,5] => [2,5,7,3,1,4,6] => [1,4,6,2,5,7,3] => 3
[4,7,5,6,2,3,1] => [1,4,6,3,5,2,7] => [2,7,5,3,6,4,1] => [1,2,7,3,6,4,5] => 2
[4,7,5,6,3,1,2] => [1,4,6,2,7,3,5] => [2,5,7,3,1,4,6] => [1,4,6,2,5,7,3] => 3
[4,7,5,6,3,2,1] => [1,4,6,2,7,3,5] => [2,5,7,3,1,4,6] => [1,4,6,2,5,7,3] => 3
[4,7,6,3,1,5,2] => [1,4,3,6,5,2,7] => [2,7,4,3,6,5,1] => [1,2,7,3,6,4,5] => 2
[4,7,6,3,2,5,1] => [1,4,3,6,5,2,7] => [2,7,4,3,6,5,1] => [1,2,7,3,6,4,5] => 2
[4,7,6,5,3,1,2] => [1,4,5,3,6,2,7] => [2,7,5,3,4,6,1] => [1,2,7,3,4,6,5] => 2
[4,7,6,5,3,2,1] => [1,4,5,3,6,2,7] => [2,7,5,3,4,6,1] => [1,2,7,3,4,6,5] => 2
[5,1,2,3,4,6,7] => [1,5,4,3,2,6,7] => [2,6,5,4,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,1,2,3,4,7,6] => [1,5,4,3,2,6,7] => [2,6,5,4,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,1,2,3,6,4,7] => [1,5,6,4,3,2,7] => [2,7,6,5,3,4,1] => [1,2,7,3,4,5,6] => 2
[5,1,2,3,7,6,4] => [1,5,7,4,3,2,6] => [2,7,6,5,3,1,4] => [1,4,2,7,3,5,6] => 2
[5,1,2,4,3,6,7] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,1,2,4,3,7,6] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,1,2,4,6,3,7] => [1,5,6,3,2,4,7] => [2,6,5,7,3,4,1] => [1,2,6,3,4,5,7] => 2
[5,1,2,4,6,7,3] => [1,5,6,7,3,2,4] => [2,7,6,1,3,4,5] => [1,3,4,5,2,7,6] => 2
[5,1,2,4,7,3,6] => [1,5,7,6,3,2,4] => [2,7,6,1,3,5,4] => [1,3,5,2,7,4,6] => 2
[5,1,2,4,7,6,3] => [1,5,7,3,2,4,6] => [2,6,5,7,3,1,4] => [1,4,2,6,3,5,7] => 2
[5,1,2,6,3,4,7] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,1,2,6,3,7,4] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,1,2,6,4,3,7] => [1,5,4,6,3,2,7] => [2,7,6,4,3,5,1] => [1,2,7,3,5,4,6] => 2
[5,1,2,6,7,4,3] => [1,5,7,3,2,4,6] => [2,6,5,7,3,1,4] => [1,4,2,6,3,5,7] => 2
[5,1,2,7,6,3,4] => [1,5,6,3,2,4,7] => [2,6,5,7,3,4,1] => [1,2,6,3,4,5,7] => 2
[5,1,3,2,4,6,7] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,1,3,2,4,7,6] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,1,3,2,6,4,7] => [1,5,6,4,2,3,7] => [2,6,7,5,3,4,1] => [1,2,6,7,3,4,5] => 2
[5,1,3,2,7,6,4] => [1,5,7,4,2,3,6] => [2,6,7,5,3,1,4] => [1,4,2,6,7,3,5] => 2
[5,1,3,4,2,6,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,1,3,4,2,7,6] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,1,3,4,6,2,7] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,1,3,4,6,7,2] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => [1,3,4,5,2,6,7] => 2
[5,1,3,4,7,2,6] => [1,5,7,6,2,3,4] => [2,6,7,1,3,5,4] => [1,3,5,2,6,7,4] => 2
[5,1,3,4,7,6,2] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,1,3,6,2,4,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,1,3,6,2,7,4] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,1,3,6,4,2,7] => [1,5,4,6,2,3,7] => [2,6,7,4,3,5,1] => [1,2,6,7,3,5,4] => 2
[5,1,3,6,4,7,2] => [1,5,4,6,7,2,3] => [2,7,1,4,3,5,6] => [1,4,2,7,3,5,6] => 2
[5,1,3,6,7,4,2] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,1,3,7,4,2,6] => [1,5,4,7,6,2,3] => [2,7,1,4,3,6,5] => [1,4,2,7,3,6,5] => 3
[5,1,3,7,6,2,4] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,1,4,2,3,6,7] => [1,5,3,4,2,6,7] => [2,6,4,5,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,1,4,2,3,7,6] => [1,5,3,4,2,6,7] => [2,6,4,5,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,1,4,2,6,3,7] => [1,5,6,3,4,2,7] => [2,7,5,6,3,4,1] => [1,2,7,3,4,5,6] => 2
[5,1,4,2,7,6,3] => [1,5,7,3,4,2,6] => [2,7,5,6,3,1,4] => [1,4,2,7,3,5,6] => 2
[5,1,4,3,2,6,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,1,4,3,2,7,6] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,1,4,3,6,2,7] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,1,4,3,6,7,2] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => [1,3,4,5,2,6,7] => 2
[5,1,4,3,7,2,6] => [1,5,7,6,2,3,4] => [2,6,7,1,3,5,4] => [1,3,5,2,6,7,4] => 2
[5,1,4,3,7,6,2] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,1,4,6,2,3,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,1,4,6,2,7,3] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,1,4,6,3,2,7] => [1,5,3,4,6,2,7] => [2,7,4,5,3,6,1] => [1,2,7,3,6,4,5] => 2
[5,1,4,6,3,7,2] => [1,5,3,4,6,7,2] => [2,1,4,5,3,6,7] => [1,4,5,2,3,6,7] => 2
[5,1,4,6,7,3,2] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,1,4,7,3,2,6] => [1,5,3,4,7,6,2] => [2,1,4,5,3,7,6] => [1,4,5,2,3,7,6] => 2
[5,1,4,7,6,2,3] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,1,6,2,3,4,7] => [1,5,3,6,4,2,7] => [2,7,4,6,3,5,1] => [1,2,7,3,5,4,6] => 2
[5,1,6,2,4,3,7] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,1,6,2,4,7,3] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,1,6,2,7,3,4] => [1,5,7,4,2,3,6] => [2,6,7,5,3,1,4] => [1,4,2,6,7,3,5] => 2
[5,1,6,3,2,4,7] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,1,6,3,2,7,4] => [1,5,2,3,6,7,4] => [2,4,5,1,3,6,7] => [1,3,6,7,2,4,5] => 2
[5,1,6,3,4,2,7] => [1,5,4,3,6,2,7] => [2,7,5,4,3,6,1] => [1,2,7,3,6,4,5] => 2
[5,1,6,3,7,4,2] => [1,5,7,2,3,6,4] => [2,5,6,1,3,7,4] => [1,3,7,2,5,6,4] => 3
[5,1,6,4,2,3,7] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,1,6,4,2,7,3] => [1,5,2,3,6,7,4] => [2,4,5,1,3,6,7] => [1,3,6,7,2,4,5] => 2
[5,1,6,4,3,2,7] => [1,5,3,6,2,4,7] => [2,6,4,7,3,5,1] => [1,2,6,3,5,4,7] => 2
[5,1,6,4,3,7,2] => [1,5,3,6,7,2,4] => [2,7,4,1,3,5,6] => [1,3,5,6,2,7,4] => 2
[5,1,6,4,7,2,3] => [1,5,7,3,6,2,4] => [2,7,5,1,3,6,4] => [1,3,6,2,7,4,5] => 2
[5,1,6,4,7,3,2] => [1,5,7,2,3,6,4] => [2,5,6,1,3,7,4] => [1,3,7,2,5,6,4] => 3
[5,1,6,7,2,3,4] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,1,6,7,2,4,3] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,1,6,7,3,2,4] => [1,5,3,6,2,4,7] => [2,6,4,7,3,5,1] => [1,2,6,3,5,4,7] => 2
[5,1,6,7,3,4,2] => [1,5,3,6,4,7,2] => [2,1,4,6,3,5,7] => [1,4,6,2,3,5,7] => 2
[5,1,7,2,6,4,3] => [1,5,6,4,2,3,7] => [2,6,7,5,3,4,1] => [1,2,6,7,3,4,5] => 2
[5,1,7,3,2,4,6] => [1,5,2,3,7,6,4] => [2,4,5,1,3,7,6] => [1,3,7,2,4,5,6] => 2
[5,1,7,3,6,2,4] => [1,5,6,2,3,7,4] => [2,5,6,1,3,4,7] => [1,3,4,7,2,5,6] => 2
[5,1,7,4,2,3,6] => [1,5,2,3,7,6,4] => [2,4,5,1,3,7,6] => [1,3,7,2,4,5,6] => 2
[5,1,7,4,3,2,6] => [1,5,3,7,6,2,4] => [2,7,4,1,3,6,5] => [1,3,6,2,7,4,5] => 2
[5,1,7,4,6,2,3] => [1,5,6,2,3,7,4] => [2,5,6,1,3,4,7] => [1,3,4,7,2,5,6] => 2
[5,1,7,4,6,3,2] => [1,5,6,3,7,2,4] => [2,7,5,1,3,4,6] => [1,3,4,6,2,7,5] => 2
[5,1,7,6,3,2,4] => [1,5,3,7,4,6,2] => [2,1,4,6,3,7,5] => [1,4,6,2,3,7,5] => 2
[5,1,7,6,4,2,3] => [1,5,4,6,2,3,7] => [2,6,7,4,3,5,1] => [1,2,6,7,3,5,4] => 2
[5,2,1,3,4,6,7] => [1,5,4,3,2,6,7] => [2,6,5,4,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,2,1,3,4,7,6] => [1,5,4,3,2,6,7] => [2,6,5,4,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,2,1,3,6,4,7] => [1,5,6,4,3,2,7] => [2,7,6,5,3,4,1] => [1,2,7,3,4,5,6] => 2
[5,2,1,3,7,6,4] => [1,5,7,4,3,2,6] => [2,7,6,5,3,1,4] => [1,4,2,7,3,5,6] => 2
[5,2,1,4,3,6,7] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,2,1,4,3,7,6] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,2,1,4,6,3,7] => [1,5,6,3,2,4,7] => [2,6,5,7,3,4,1] => [1,2,6,3,4,5,7] => 2
[5,2,1,4,6,7,3] => [1,5,6,7,3,2,4] => [2,7,6,1,3,4,5] => [1,3,4,5,2,7,6] => 2
[5,2,1,4,7,3,6] => [1,5,7,6,3,2,4] => [2,7,6,1,3,5,4] => [1,3,5,2,7,4,6] => 2
[5,2,1,4,7,6,3] => [1,5,7,3,2,4,6] => [2,6,5,7,3,1,4] => [1,4,2,6,3,5,7] => 2
[5,2,1,6,3,4,7] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,2,1,6,3,7,4] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,2,1,6,4,3,7] => [1,5,4,6,3,2,7] => [2,7,6,4,3,5,1] => [1,2,7,3,5,4,6] => 2
[5,2,1,6,7,4,3] => [1,5,7,3,2,4,6] => [2,6,5,7,3,1,4] => [1,4,2,6,3,5,7] => 2
[5,2,1,7,6,3,4] => [1,5,6,3,2,4,7] => [2,6,5,7,3,4,1] => [1,2,6,3,4,5,7] => 2
[5,2,3,1,4,6,7] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,2,3,1,4,7,6] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,2,3,1,6,4,7] => [1,5,6,4,2,3,7] => [2,6,7,5,3,4,1] => [1,2,6,7,3,4,5] => 2
[5,2,3,1,7,6,4] => [1,5,7,4,2,3,6] => [2,6,7,5,3,1,4] => [1,4,2,6,7,3,5] => 2
[5,2,3,4,1,6,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,2,3,4,1,7,6] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,2,3,4,6,1,7] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,2,3,4,6,7,1] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => [1,3,4,5,2,6,7] => 2
[5,2,3,4,7,1,6] => [1,5,7,6,2,3,4] => [2,6,7,1,3,5,4] => [1,3,5,2,6,7,4] => 2
[5,2,3,4,7,6,1] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,2,3,6,1,4,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,2,3,6,1,7,4] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,2,3,6,4,1,7] => [1,5,4,6,2,3,7] => [2,6,7,4,3,5,1] => [1,2,6,7,3,5,4] => 2
[5,2,3,6,4,7,1] => [1,5,4,6,7,2,3] => [2,7,1,4,3,5,6] => [1,4,2,7,3,5,6] => 2
[5,2,3,6,7,4,1] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,2,3,7,4,1,6] => [1,5,4,7,6,2,3] => [2,7,1,4,3,6,5] => [1,4,2,7,3,6,5] => 3
[5,2,3,7,6,1,4] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,2,4,1,3,6,7] => [1,5,3,4,2,6,7] => [2,6,4,5,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,2,4,1,3,7,6] => [1,5,3,4,2,6,7] => [2,6,4,5,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,2,4,1,6,3,7] => [1,5,6,3,4,2,7] => [2,7,5,6,3,4,1] => [1,2,7,3,4,5,6] => 2
[5,2,4,1,7,6,3] => [1,5,7,3,4,2,6] => [2,7,5,6,3,1,4] => [1,4,2,7,3,5,6] => 2
[5,2,4,3,1,6,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,2,4,3,1,7,6] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,2,4,3,6,1,7] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,2,4,3,6,7,1] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => [1,3,4,5,2,6,7] => 2
[5,2,4,3,7,1,6] => [1,5,7,6,2,3,4] => [2,6,7,1,3,5,4] => [1,3,5,2,6,7,4] => 2
[5,2,4,3,7,6,1] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,2,4,6,1,3,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,2,4,6,1,7,3] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,2,4,6,3,1,7] => [1,5,3,4,6,2,7] => [2,7,4,5,3,6,1] => [1,2,7,3,6,4,5] => 2
[5,2,4,6,3,7,1] => [1,5,3,4,6,7,2] => [2,1,4,5,3,6,7] => [1,4,5,2,3,6,7] => 2
[5,2,4,6,7,3,1] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,2,4,7,3,1,6] => [1,5,3,4,7,6,2] => [2,1,4,5,3,7,6] => [1,4,5,2,3,7,6] => 2
[5,2,4,7,6,1,3] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,2,6,1,3,4,7] => [1,5,3,6,4,2,7] => [2,7,4,6,3,5,1] => [1,2,7,3,5,4,6] => 2
[5,2,6,1,4,3,7] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,2,6,1,4,7,3] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,2,6,1,7,3,4] => [1,5,7,4,2,3,6] => [2,6,7,5,3,1,4] => [1,4,2,6,7,3,5] => 2
[5,2,6,3,1,4,7] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,2,6,3,1,7,4] => [1,5,2,3,6,7,4] => [2,4,5,1,3,6,7] => [1,3,6,7,2,4,5] => 2
[5,2,6,3,4,1,7] => [1,5,4,3,6,2,7] => [2,7,5,4,3,6,1] => [1,2,7,3,6,4,5] => 2
[5,2,6,3,7,4,1] => [1,5,7,2,3,6,4] => [2,5,6,1,3,7,4] => [1,3,7,2,5,6,4] => 3
[5,2,6,4,1,3,7] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,2,6,4,1,7,3] => [1,5,2,3,6,7,4] => [2,4,5,1,3,6,7] => [1,3,6,7,2,4,5] => 2
[5,2,6,4,3,1,7] => [1,5,3,6,2,4,7] => [2,6,4,7,3,5,1] => [1,2,6,3,5,4,7] => 2
[5,2,6,4,3,7,1] => [1,5,3,6,7,2,4] => [2,7,4,1,3,5,6] => [1,3,5,6,2,7,4] => 2
[5,2,6,4,7,1,3] => [1,5,7,3,6,2,4] => [2,7,5,1,3,6,4] => [1,3,6,2,7,4,5] => 2
[5,2,6,4,7,3,1] => [1,5,7,2,3,6,4] => [2,5,6,1,3,7,4] => [1,3,7,2,5,6,4] => 3
[5,2,6,7,1,3,4] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,2,6,7,1,4,3] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,2,6,7,3,1,4] => [1,5,3,6,2,4,7] => [2,6,4,7,3,5,1] => [1,2,6,3,5,4,7] => 2
[5,2,6,7,3,4,1] => [1,5,3,6,4,7,2] => [2,1,4,6,3,5,7] => [1,4,6,2,3,5,7] => 2
[5,2,7,1,6,4,3] => [1,5,6,4,2,3,7] => [2,6,7,5,3,4,1] => [1,2,6,7,3,4,5] => 2
[5,2,7,3,1,4,6] => [1,5,2,3,7,6,4] => [2,4,5,1,3,7,6] => [1,3,7,2,4,5,6] => 2
[5,2,7,3,6,1,4] => [1,5,6,2,3,7,4] => [2,5,6,1,3,4,7] => [1,3,4,7,2,5,6] => 2
[5,2,7,4,1,3,6] => [1,5,2,3,7,6,4] => [2,4,5,1,3,7,6] => [1,3,7,2,4,5,6] => 2
[5,2,7,4,3,1,6] => [1,5,3,7,6,2,4] => [2,7,4,1,3,6,5] => [1,3,6,2,7,4,5] => 2
[5,2,7,4,6,1,3] => [1,5,6,2,3,7,4] => [2,5,6,1,3,4,7] => [1,3,4,7,2,5,6] => 2
[5,2,7,4,6,3,1] => [1,5,6,3,7,2,4] => [2,7,5,1,3,4,6] => [1,3,4,6,2,7,5] => 2
[5,2,7,6,3,1,4] => [1,5,3,7,4,6,2] => [2,1,4,6,3,7,5] => [1,4,6,2,3,7,5] => 2
[5,2,7,6,4,1,3] => [1,5,4,6,2,3,7] => [2,6,7,4,3,5,1] => [1,2,6,7,3,5,4] => 2
[5,3,1,2,4,6,7] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,3,1,2,4,7,6] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,3,1,2,6,4,7] => [1,5,6,4,2,3,7] => [2,6,7,5,3,4,1] => [1,2,6,7,3,4,5] => 2
[5,3,1,2,7,6,4] => [1,5,7,4,2,3,6] => [2,6,7,5,3,1,4] => [1,4,2,6,7,3,5] => 2
[5,3,1,4,2,6,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,1,4,2,7,6] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,1,4,6,2,7] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,3,1,4,6,7,2] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => [1,3,4,5,2,6,7] => 2
[5,3,1,4,7,2,6] => [1,5,7,6,2,3,4] => [2,6,7,1,3,5,4] => [1,3,5,2,6,7,4] => 2
[5,3,1,4,7,6,2] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,3,1,6,2,4,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,1,6,2,7,4] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,1,6,4,2,7] => [1,5,4,6,2,3,7] => [2,6,7,4,3,5,1] => [1,2,6,7,3,5,4] => 2
[5,3,1,6,4,7,2] => [1,5,4,6,7,2,3] => [2,7,1,4,3,5,6] => [1,4,2,7,3,5,6] => 2
[5,3,1,6,7,4,2] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,3,1,7,4,2,6] => [1,5,4,7,6,2,3] => [2,7,1,4,3,6,5] => [1,4,2,7,3,6,5] => 3
[5,3,1,7,6,2,4] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,3,2,1,4,6,7] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,3,2,1,4,7,6] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,3,2,1,6,4,7] => [1,5,6,4,2,3,7] => [2,6,7,5,3,4,1] => [1,2,6,7,3,4,5] => 2
[5,3,2,1,7,6,4] => [1,5,7,4,2,3,6] => [2,6,7,5,3,1,4] => [1,4,2,6,7,3,5] => 2
[5,3,2,4,1,6,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,2,4,1,7,6] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,2,4,6,1,7] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,3,2,4,6,7,1] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => [1,3,4,5,2,6,7] => 2
[5,3,2,4,7,1,6] => [1,5,7,6,2,3,4] => [2,6,7,1,3,5,4] => [1,3,5,2,6,7,4] => 2
[5,3,2,4,7,6,1] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,3,2,6,1,4,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,2,6,1,7,4] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,2,6,4,1,7] => [1,5,4,6,2,3,7] => [2,6,7,4,3,5,1] => [1,2,6,7,3,5,4] => 2
[5,3,2,6,4,7,1] => [1,5,4,6,7,2,3] => [2,7,1,4,3,5,6] => [1,4,2,7,3,5,6] => 2
[5,3,2,6,7,4,1] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,3,2,7,4,1,6] => [1,5,4,7,6,2,3] => [2,7,1,4,3,6,5] => [1,4,2,7,3,6,5] => 3
[5,3,2,7,6,1,4] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,3,4,1,2,6,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,4,1,2,7,6] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,4,1,6,2,7] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,3,4,1,6,7,2] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => [1,3,4,5,2,6,7] => 2
[5,3,4,1,7,2,6] => [1,5,7,6,2,3,4] => [2,6,7,1,3,5,4] => [1,3,5,2,6,7,4] => 2
[5,3,4,1,7,6,2] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,3,4,2,1,6,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,4,2,1,7,6] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,4,2,6,1,7] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,3,4,2,6,7,1] => [1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => [1,3,4,5,2,6,7] => 2
[5,3,4,2,7,1,6] => [1,5,7,6,2,3,4] => [2,6,7,1,3,5,4] => [1,3,5,2,6,7,4] => 2
[5,3,4,2,7,6,1] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,3,4,6,1,2,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,4,6,1,7,2] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,4,6,2,1,7] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,4,6,2,7,1] => [1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 2
[5,3,4,6,7,1,2] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,3,4,6,7,2,1] => [1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 2
[5,3,4,7,6,1,2] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,3,4,7,6,2,1] => [1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 2
[5,3,6,1,2,4,7] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,3,6,1,2,7,4] => [1,5,2,3,6,7,4] => [2,4,5,1,3,6,7] => [1,3,6,7,2,4,5] => 2
[5,3,6,1,4,2,7] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,3,6,1,4,7,2] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,3,6,1,7,2,4] => [1,5,7,4,2,3,6] => [2,6,7,5,3,1,4] => [1,4,2,6,7,3,5] => 2
[5,3,6,1,7,4,2] => [1,5,7,2,3,6,4] => [2,5,6,1,3,7,4] => [1,3,7,2,5,6,4] => 3
[5,3,6,2,1,4,7] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,3,6,2,1,7,4] => [1,5,2,3,6,7,4] => [2,4,5,1,3,6,7] => [1,3,6,7,2,4,5] => 2
[5,3,6,2,4,1,7] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,3,6,2,4,7,1] => [1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 2
[5,3,6,2,7,1,4] => [1,5,7,4,2,3,6] => [2,6,7,5,3,1,4] => [1,4,2,6,7,3,5] => 2
[5,3,6,2,7,4,1] => [1,5,7,2,3,6,4] => [2,5,6,1,3,7,4] => [1,3,7,2,5,6,4] => 3
[5,3,6,4,1,2,7] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,3,6,4,1,7,2] => [1,5,2,3,6,7,4] => [2,4,5,1,3,6,7] => [1,3,6,7,2,4,5] => 2
[5,3,6,4,2,1,7] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,3,6,4,2,7,1] => [1,5,2,3,6,7,4] => [2,4,5,1,3,6,7] => [1,3,6,7,2,4,5] => 2
[5,3,6,4,7,1,2] => [1,5,7,2,3,6,4] => [2,5,6,1,3,7,4] => [1,3,7,2,5,6,4] => 3
[5,3,6,4,7,2,1] => [1,5,7,2,3,6,4] => [2,5,6,1,3,7,4] => [1,3,7,2,5,6,4] => 3
[5,3,6,7,1,2,4] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,3,6,7,1,4,2] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,3,6,7,2,1,4] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,3,6,7,2,4,1] => [1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 2
[5,3,7,1,2,4,6] => [1,5,2,3,7,6,4] => [2,4,5,1,3,7,6] => [1,3,7,2,4,5,6] => 2
[5,3,7,1,6,2,4] => [1,5,6,2,3,7,4] => [2,5,6,1,3,4,7] => [1,3,4,7,2,5,6] => 2
[5,3,7,1,6,4,2] => [1,5,6,4,2,3,7] => [2,6,7,5,3,4,1] => [1,2,6,7,3,4,5] => 2
[5,3,7,2,1,4,6] => [1,5,2,3,7,6,4] => [2,4,5,1,3,7,6] => [1,3,7,2,4,5,6] => 2
[5,3,7,2,6,1,4] => [1,5,6,2,3,7,4] => [2,5,6,1,3,4,7] => [1,3,4,7,2,5,6] => 2
[5,3,7,2,6,4,1] => [1,5,6,4,2,3,7] => [2,6,7,5,3,4,1] => [1,2,6,7,3,4,5] => 2
[5,3,7,4,1,2,6] => [1,5,2,3,7,6,4] => [2,4,5,1,3,7,6] => [1,3,7,2,4,5,6] => 2
[5,3,7,4,2,1,6] => [1,5,2,3,7,6,4] => [2,4,5,1,3,7,6] => [1,3,7,2,4,5,6] => 2
[5,3,7,4,6,1,2] => [1,5,6,2,3,7,4] => [2,5,6,1,3,4,7] => [1,3,4,7,2,5,6] => 2
[5,3,7,4,6,2,1] => [1,5,6,2,3,7,4] => [2,5,6,1,3,4,7] => [1,3,4,7,2,5,6] => 2
[5,3,7,6,4,1,2] => [1,5,4,6,2,3,7] => [2,6,7,4,3,5,1] => [1,2,6,7,3,5,4] => 2
[5,3,7,6,4,2,1] => [1,5,4,6,2,3,7] => [2,6,7,4,3,5,1] => [1,2,6,7,3,5,4] => 2
[5,4,1,2,3,6,7] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,4,1,2,3,7,6] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,4,1,2,6,3,7] => [1,5,6,3,2,4,7] => [2,6,5,7,3,4,1] => [1,2,6,3,4,5,7] => 2
[5,4,1,2,6,7,3] => [1,5,6,7,3,2,4] => [2,7,6,1,3,4,5] => [1,3,4,5,2,7,6] => 2
[5,4,1,2,7,3,6] => [1,5,7,6,3,2,4] => [2,7,6,1,3,5,4] => [1,3,5,2,7,4,6] => 2
[5,4,1,2,7,6,3] => [1,5,7,3,2,4,6] => [2,6,5,7,3,1,4] => [1,4,2,6,3,5,7] => 2
[5,4,1,3,2,6,7] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,1,3,2,7,6] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,1,3,6,2,7] => [1,5,6,2,4,3,7] => [2,5,7,6,3,4,1] => [1,2,5,7,3,4,6] => 2
[5,4,1,3,7,6,2] => [1,5,7,2,4,3,6] => [2,5,7,6,3,1,4] => [1,4,2,5,7,3,6] => 2
[5,4,1,6,2,3,7] => [1,5,2,4,6,3,7] => [2,4,7,5,3,6,1] => [1,2,4,7,3,6,5] => 3
[5,4,1,6,3,2,7] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,4,1,6,3,7,2] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,4,1,6,7,2,3] => [1,5,7,3,2,4,6] => [2,6,5,7,3,1,4] => [1,4,2,6,3,5,7] => 2
[5,4,1,7,6,3,2] => [1,5,6,3,2,4,7] => [2,6,5,7,3,4,1] => [1,2,6,3,4,5,7] => 2
[5,4,2,1,3,6,7] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,4,2,1,3,7,6] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,4,2,1,6,3,7] => [1,5,6,3,2,4,7] => [2,6,5,7,3,4,1] => [1,2,6,3,4,5,7] => 2
[5,4,2,1,6,7,3] => [1,5,6,7,3,2,4] => [2,7,6,1,3,4,5] => [1,3,4,5,2,7,6] => 2
[5,4,2,1,7,3,6] => [1,5,7,6,3,2,4] => [2,7,6,1,3,5,4] => [1,3,5,2,7,4,6] => 2
[5,4,2,1,7,6,3] => [1,5,7,3,2,4,6] => [2,6,5,7,3,1,4] => [1,4,2,6,3,5,7] => 2
[5,4,2,3,1,6,7] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,2,3,1,7,6] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,2,3,6,1,7] => [1,5,6,2,4,3,7] => [2,5,7,6,3,4,1] => [1,2,5,7,3,4,6] => 2
[5,4,2,3,7,6,1] => [1,5,7,2,4,3,6] => [2,5,7,6,3,1,4] => [1,4,2,5,7,3,6] => 2
[5,4,2,6,1,3,7] => [1,5,2,4,6,3,7] => [2,4,7,5,3,6,1] => [1,2,4,7,3,6,5] => 3
[5,4,2,6,3,1,7] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,4,2,6,3,7,1] => [1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 2
[5,4,2,6,7,1,3] => [1,5,7,3,2,4,6] => [2,6,5,7,3,1,4] => [1,4,2,6,3,5,7] => 2
[5,4,2,7,6,3,1] => [1,5,6,3,2,4,7] => [2,6,5,7,3,4,1] => [1,2,6,3,4,5,7] => 2
[5,4,3,1,2,6,7] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,3,1,2,7,6] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,3,1,6,2,7] => [1,5,6,2,4,3,7] => [2,5,7,6,3,4,1] => [1,2,5,7,3,4,6] => 2
[5,4,3,1,7,6,2] => [1,5,7,2,4,3,6] => [2,5,7,6,3,1,4] => [1,4,2,5,7,3,6] => 2
[5,4,3,2,1,6,7] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,3,2,1,7,6] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,3,2,6,1,7] => [1,5,6,2,4,3,7] => [2,5,7,6,3,4,1] => [1,2,5,7,3,4,6] => 2
[5,4,3,2,7,6,1] => [1,5,7,2,4,3,6] => [2,5,7,6,3,1,4] => [1,4,2,5,7,3,6] => 2
[5,4,3,6,1,2,7] => [1,5,2,4,6,3,7] => [2,4,7,5,3,6,1] => [1,2,4,7,3,6,5] => 3
[5,4,3,6,2,1,7] => [1,5,2,4,6,3,7] => [2,4,7,5,3,6,1] => [1,2,4,7,3,6,5] => 3
[5,4,6,1,2,3,7] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,6,1,2,7,3] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,6,1,3,2,7] => [1,5,3,6,2,4,7] => [2,6,4,7,3,5,1] => [1,2,6,3,5,4,7] => 2
[5,4,6,1,3,7,2] => [1,5,3,6,7,2,4] => [2,7,4,1,3,5,6] => [1,3,5,6,2,7,4] => 2
[5,4,6,1,7,2,3] => [1,5,7,3,6,2,4] => [2,7,5,1,3,6,4] => [1,3,6,2,7,4,5] => 2
[5,4,6,1,7,3,2] => [1,5,7,2,4,3,6] => [2,5,7,6,3,1,4] => [1,4,2,5,7,3,6] => 2
[5,4,6,2,1,3,7] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,6,2,1,7,3] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,6,2,3,1,7] => [1,5,3,6,2,4,7] => [2,6,4,7,3,5,1] => [1,2,6,3,5,4,7] => 2
[5,4,6,2,3,7,1] => [1,5,3,6,7,2,4] => [2,7,4,1,3,5,6] => [1,3,5,6,2,7,4] => 2
[5,4,6,2,7,1,3] => [1,5,7,3,6,2,4] => [2,7,5,1,3,6,4] => [1,3,6,2,7,4,5] => 2
[5,4,6,2,7,3,1] => [1,5,7,2,4,3,6] => [2,5,7,6,3,1,4] => [1,4,2,5,7,3,6] => 2
[5,4,6,3,1,2,7] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,6,3,1,7,2] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,6,3,2,1,7] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,6,3,2,7,1] => [1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 2
[5,4,6,3,7,1,2] => [1,5,7,2,4,3,6] => [2,5,7,6,3,1,4] => [1,4,2,5,7,3,6] => 2
[5,4,6,3,7,2,1] => [1,5,7,2,4,3,6] => [2,5,7,6,3,1,4] => [1,4,2,5,7,3,6] => 2
[5,4,6,7,3,1,2] => [1,5,3,6,2,4,7] => [2,6,4,7,3,5,1] => [1,2,6,3,5,4,7] => 2
[5,4,6,7,3,2,1] => [1,5,3,6,2,4,7] => [2,6,4,7,3,5,1] => [1,2,6,3,5,4,7] => 2
[5,4,7,1,3,2,6] => [1,5,3,7,6,2,4] => [2,7,4,1,3,6,5] => [1,3,6,2,7,4,5] => 2
[5,4,7,1,6,2,3] => [1,5,6,2,4,3,7] => [2,5,7,6,3,4,1] => [1,2,5,7,3,4,6] => 2
[5,4,7,1,6,3,2] => [1,5,6,3,7,2,4] => [2,7,5,1,3,4,6] => [1,3,4,6,2,7,5] => 2
[5,4,7,2,3,1,6] => [1,5,3,7,6,2,4] => [2,7,4,1,3,6,5] => [1,3,6,2,7,4,5] => 2
[5,4,7,2,6,1,3] => [1,5,6,2,4,3,7] => [2,5,7,6,3,4,1] => [1,2,5,7,3,4,6] => 2
[5,4,7,2,6,3,1] => [1,5,6,3,7,2,4] => [2,7,5,1,3,4,6] => [1,3,4,6,2,7,5] => 2
[5,4,7,3,6,1,2] => [1,5,6,2,4,3,7] => [2,5,7,6,3,4,1] => [1,2,5,7,3,4,6] => 2
[5,4,7,3,6,2,1] => [1,5,6,2,4,3,7] => [2,5,7,6,3,4,1] => [1,2,5,7,3,4,6] => 2
[5,4,7,6,1,2,3] => [1,5,2,4,6,3,7] => [2,4,7,5,3,6,1] => [1,2,4,7,3,6,5] => 3
[5,4,7,6,1,3,2] => [1,5,2,4,6,3,7] => [2,4,7,5,3,6,1] => [1,2,4,7,3,6,5] => 3
[5,4,7,6,2,1,3] => [1,5,2,4,6,3,7] => [2,4,7,5,3,6,1] => [1,2,4,7,3,6,5] => 3
[5,4,7,6,2,3,1] => [1,5,2,4,6,3,7] => [2,4,7,5,3,6,1] => [1,2,4,7,3,6,5] => 3
[5,6,1,2,3,4,7] => [1,5,3,2,6,4,7] => [2,5,4,7,3,6,1] => [1,2,5,3,6,4,7] => 2
[5,6,1,2,3,7,4] => [1,5,3,2,6,7,4] => [2,5,4,1,3,6,7] => [1,3,6,7,2,5,4] => 3
[5,6,1,2,4,3,7] => [1,5,4,2,6,3,7] => [2,5,7,4,3,6,1] => [1,2,5,7,3,6,4] => 3
[5,6,1,2,4,7,3] => [1,5,4,2,6,7,3] => [2,5,1,4,3,6,7] => [1,4,2,5,3,6,7] => 2
[5,6,1,2,7,4,3] => [1,5,7,3,2,6,4] => [2,6,5,1,3,7,4] => [1,3,7,2,6,4,5] => 3
[5,6,1,3,2,4,7] => [1,5,2,6,4,3,7] => [2,4,7,6,3,5,1] => [1,2,4,7,3,5,6] => 2
[5,6,1,3,4,2,7] => [1,5,4,3,2,6,7] => [2,6,5,4,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,6,1,3,4,7,2] => [1,5,4,3,2,6,7] => [2,6,5,4,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,6,1,3,7,2,4] => [1,5,7,4,3,2,6] => [2,7,6,5,3,1,4] => [1,4,2,7,3,5,6] => 2
[5,6,1,4,2,3,7] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,1,4,2,7,3] => [1,5,2,6,7,3,4] => [2,4,7,1,3,5,6] => [1,3,5,6,2,4,7] => 2
[5,6,1,4,3,2,7] => [1,5,3,2,6,4,7] => [2,5,4,7,3,6,1] => [1,2,5,3,6,4,7] => 2
[5,6,1,4,3,7,2] => [1,5,3,2,6,7,4] => [2,5,4,1,3,6,7] => [1,3,6,7,2,5,4] => 3
[5,6,1,4,7,2,3] => [1,5,7,3,2,6,4] => [2,6,5,1,3,7,4] => [1,3,7,2,6,4,5] => 3
[5,6,1,4,7,3,2] => [1,5,7,2,6,3,4] => [2,5,7,1,3,6,4] => [1,3,6,2,5,7,4] => 3
[5,6,1,7,2,3,4] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,1,7,3,2,4] => [1,5,3,2,6,4,7] => [2,5,4,7,3,6,1] => [1,2,5,3,6,4,7] => 2
[5,6,1,7,3,4,2] => [1,5,3,2,6,4,7] => [2,5,4,7,3,6,1] => [1,2,5,3,6,4,7] => 2
[5,6,1,7,4,3,2] => [1,5,4,7,2,6,3] => [2,6,1,4,3,7,5] => [1,4,2,6,3,7,5] => 2
[5,6,2,1,3,4,7] => [1,5,3,2,6,4,7] => [2,5,4,7,3,6,1] => [1,2,5,3,6,4,7] => 2
[5,6,2,1,3,7,4] => [1,5,3,2,6,7,4] => [2,5,4,1,3,6,7] => [1,3,6,7,2,5,4] => 3
[5,6,2,1,4,3,7] => [1,5,4,2,6,3,7] => [2,5,7,4,3,6,1] => [1,2,5,7,3,6,4] => 3
[5,6,2,1,4,7,3] => [1,5,4,2,6,7,3] => [2,5,1,4,3,6,7] => [1,4,2,5,3,6,7] => 2
[5,6,2,1,7,4,3] => [1,5,7,3,2,6,4] => [2,6,5,1,3,7,4] => [1,3,7,2,6,4,5] => 3
[5,6,2,3,1,4,7] => [1,5,2,6,4,3,7] => [2,4,7,6,3,5,1] => [1,2,4,7,3,5,6] => 2
[5,6,2,3,4,1,7] => [1,5,4,3,2,6,7] => [2,6,5,4,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,6,2,3,4,7,1] => [1,5,4,3,2,6,7] => [2,6,5,4,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,6,2,3,7,1,4] => [1,5,7,4,3,2,6] => [2,7,6,5,3,1,4] => [1,4,2,7,3,5,6] => 2
[5,6,2,4,1,3,7] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,2,4,1,7,3] => [1,5,2,6,7,3,4] => [2,4,7,1,3,5,6] => [1,3,5,6,2,4,7] => 2
[5,6,2,4,3,1,7] => [1,5,3,2,6,4,7] => [2,5,4,7,3,6,1] => [1,2,5,3,6,4,7] => 2
[5,6,2,4,3,7,1] => [1,5,3,2,6,7,4] => [2,5,4,1,3,6,7] => [1,3,6,7,2,5,4] => 3
[5,6,2,4,7,1,3] => [1,5,7,3,2,6,4] => [2,6,5,1,3,7,4] => [1,3,7,2,6,4,5] => 3
[5,6,2,4,7,3,1] => [1,5,7,2,6,3,4] => [2,5,7,1,3,6,4] => [1,3,6,2,5,7,4] => 3
[5,6,2,7,1,3,4] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,2,7,3,1,4] => [1,5,3,2,6,4,7] => [2,5,4,7,3,6,1] => [1,2,5,3,6,4,7] => 2
[5,6,2,7,3,4,1] => [1,5,3,2,6,4,7] => [2,5,4,7,3,6,1] => [1,2,5,3,6,4,7] => 2
[5,6,2,7,4,3,1] => [1,5,4,7,2,6,3] => [2,6,1,4,3,7,5] => [1,4,2,6,3,7,5] => 2
[5,6,3,1,2,4,7] => [1,5,2,6,4,3,7] => [2,4,7,6,3,5,1] => [1,2,4,7,3,5,6] => 2
[5,6,3,1,4,2,7] => [1,5,4,2,6,3,7] => [2,5,7,4,3,6,1] => [1,2,5,7,3,6,4] => 3
[5,6,3,1,4,7,2] => [1,5,4,2,6,7,3] => [2,5,1,4,3,6,7] => [1,4,2,5,3,6,7] => 2
[5,6,3,2,1,4,7] => [1,5,2,6,4,3,7] => [2,4,7,6,3,5,1] => [1,2,4,7,3,5,6] => 2
[5,6,3,2,4,1,7] => [1,5,4,2,6,3,7] => [2,5,7,4,3,6,1] => [1,2,5,7,3,6,4] => 3
[5,6,3,2,4,7,1] => [1,5,4,2,6,7,3] => [2,5,1,4,3,6,7] => [1,4,2,5,3,6,7] => 2
[5,6,3,4,1,2,7] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,3,4,1,7,2] => [1,5,2,6,7,3,4] => [2,4,7,1,3,5,6] => [1,3,5,6,2,4,7] => 2
[5,6,3,4,2,1,7] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,3,4,2,7,1] => [1,5,2,6,7,3,4] => [2,4,7,1,3,5,6] => [1,3,5,6,2,4,7] => 2
[5,6,3,4,7,1,2] => [1,5,7,2,6,3,4] => [2,5,7,1,3,6,4] => [1,3,6,2,5,7,4] => 3
[5,6,3,4,7,2,1] => [1,5,7,2,6,3,4] => [2,5,7,1,3,6,4] => [1,3,6,2,5,7,4] => 3
[5,6,3,7,1,2,4] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,3,7,2,1,4] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,3,7,4,1,2] => [1,5,4,7,2,6,3] => [2,6,1,4,3,7,5] => [1,4,2,6,3,7,5] => 2
[5,6,3,7,4,2,1] => [1,5,4,7,2,6,3] => [2,6,1,4,3,7,5] => [1,4,2,6,3,7,5] => 2
[5,6,4,1,2,3,7] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,4,1,2,7,3] => [1,5,2,6,7,3,4] => [2,4,7,1,3,5,6] => [1,3,5,6,2,4,7] => 2
[5,6,4,1,3,2,7] => [1,5,3,4,2,6,7] => [2,6,4,5,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,6,4,1,3,7,2] => [1,5,3,4,2,6,7] => [2,6,4,5,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,6,4,1,7,2,3] => [1,5,7,3,4,2,6] => [2,7,5,6,3,1,4] => [1,4,2,7,3,5,6] => 2
[5,6,4,1,7,3,2] => [1,5,7,2,6,3,4] => [2,5,7,1,3,6,4] => [1,3,6,2,5,7,4] => 3
[5,6,4,2,1,3,7] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,4,2,1,7,3] => [1,5,2,6,7,3,4] => [2,4,7,1,3,5,6] => [1,3,5,6,2,4,7] => 2
[5,6,4,2,3,1,7] => [1,5,3,4,2,6,7] => [2,6,4,5,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,6,4,2,3,7,1] => [1,5,3,4,2,6,7] => [2,6,4,5,3,7,1] => [1,2,6,3,7,4,5] => 2
[5,6,4,2,7,1,3] => [1,5,7,3,4,2,6] => [2,7,5,6,3,1,4] => [1,4,2,7,3,5,6] => 2
[5,6,4,2,7,3,1] => [1,5,7,2,6,3,4] => [2,5,7,1,3,6,4] => [1,3,6,2,5,7,4] => 3
[5,6,4,3,1,2,7] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,4,3,1,7,2] => [1,5,2,6,7,3,4] => [2,4,7,1,3,5,6] => [1,3,5,6,2,4,7] => 2
[5,6,4,3,2,1,7] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,4,3,2,7,1] => [1,5,2,6,7,3,4] => [2,4,7,1,3,5,6] => [1,3,5,6,2,4,7] => 2
[5,6,4,3,7,1,2] => [1,5,7,2,6,3,4] => [2,5,7,1,3,6,4] => [1,3,6,2,5,7,4] => 3
[5,6,4,3,7,2,1] => [1,5,7,2,6,3,4] => [2,5,7,1,3,6,4] => [1,3,6,2,5,7,4] => 3
[5,6,4,7,1,2,3] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,4,7,1,3,2] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,4,7,2,1,3] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,4,7,2,3,1] => [1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 2
[5,6,7,1,2,3,4] => [1,5,2,6,3,7,4] => [2,4,6,1,3,5,7] => [1,3,5,7,2,4,6] => 2
[5,6,7,1,2,4,3] => [1,5,2,6,4,3,7] => [2,4,7,6,3,5,1] => [1,2,4,7,3,5,6] => 2
[5,6,7,1,3,4,2] => [1,5,3,7,2,6,4] => [2,6,4,1,3,7,5] => [1,3,7,2,6,4,5] => 3
[5,6,7,1,4,2,3] => [1,5,4,2,6,3,7] => [2,5,7,4,3,6,1] => [1,2,5,7,3,6,4] => 3
[5,6,7,1,4,3,2] => [1,5,4,2,6,3,7] => [2,5,7,4,3,6,1] => [1,2,5,7,3,6,4] => 3
[5,6,7,2,1,3,4] => [1,5,2,6,3,7,4] => [2,4,6,1,3,5,7] => [1,3,5,7,2,4,6] => 2
[5,6,7,2,1,4,3] => [1,5,2,6,4,3,7] => [2,4,7,6,3,5,1] => [1,2,4,7,3,5,6] => 2
[5,6,7,2,3,4,1] => [1,5,3,7,2,6,4] => [2,6,4,1,3,7,5] => [1,3,7,2,6,4,5] => 3
[5,6,7,2,4,1,3] => [1,5,4,2,6,3,7] => [2,5,7,4,3,6,1] => [1,2,5,7,3,6,4] => 3
[5,6,7,2,4,3,1] => [1,5,4,2,6,3,7] => [2,5,7,4,3,6,1] => [1,2,5,7,3,6,4] => 3
[5,6,7,3,1,2,4] => [1,5,2,6,3,7,4] => [2,4,6,1,3,5,7] => [1,3,5,7,2,4,6] => 2
[5,6,7,3,1,4,2] => [1,5,2,6,4,3,7] => [2,4,7,6,3,5,1] => [1,2,4,7,3,5,6] => 2
[5,6,7,3,2,1,4] => [1,5,2,6,3,7,4] => [2,4,6,1,3,5,7] => [1,3,5,7,2,4,6] => 2
[5,6,7,3,2,4,1] => [1,5,2,6,4,3,7] => [2,4,7,6,3,5,1] => [1,2,4,7,3,5,6] => 2
[5,6,7,4,1,2,3] => [1,5,2,6,3,7,4] => [2,4,6,1,3,5,7] => [1,3,5,7,2,4,6] => 2
[5,6,7,4,1,3,2] => [1,5,2,6,3,7,4] => [2,4,6,1,3,5,7] => [1,3,5,7,2,4,6] => 2
[5,6,7,4,2,1,3] => [1,5,2,6,3,7,4] => [2,4,6,1,3,5,7] => [1,3,5,7,2,4,6] => 2
[5,6,7,4,2,3,1] => [1,5,2,6,3,7,4] => [2,4,6,1,3,5,7] => [1,3,5,7,2,4,6] => 2
[5,6,7,4,3,1,2] => [1,5,3,7,2,6,4] => [2,6,4,1,3,7,5] => [1,3,7,2,6,4,5] => 3
[5,6,7,4,3,2,1] => [1,5,3,7,2,6,4] => [2,6,4,1,3,7,5] => [1,3,7,2,6,4,5] => 3
[5,7,1,2,3,4,6] => [1,5,3,2,7,6,4] => [2,5,4,1,3,7,6] => [1,3,7,2,5,4,6] => 3
[5,7,1,2,4,3,6] => [1,5,4,2,7,6,3] => [2,5,1,4,3,7,6] => [1,4,2,5,3,7,6] => 2
[5,7,1,2,6,3,4] => [1,5,6,3,2,7,4] => [2,6,5,1,3,4,7] => [1,3,4,7,2,6,5] => 3
[5,7,1,3,6,4,2] => [1,5,6,4,3,2,7] => [2,7,6,5,3,4,1] => [1,2,7,3,4,5,6] => 2
[5,7,1,4,2,3,6] => [1,5,2,7,6,3,4] => [2,4,7,1,3,6,5] => [1,3,6,2,4,7,5] => 2
[5,7,1,4,3,2,6] => [1,5,3,2,7,6,4] => [2,5,4,1,3,7,6] => [1,3,7,2,5,4,6] => 3
[5,7,1,4,6,2,3] => [1,5,6,2,7,3,4] => [2,5,7,1,3,4,6] => [1,3,4,6,2,5,7] => 2
[5,7,1,4,6,3,2] => [1,5,6,3,2,7,4] => [2,6,5,1,3,4,7] => [1,3,4,7,2,6,5] => 3
[5,7,1,6,4,2,3] => [1,5,4,6,2,7,3] => [2,6,1,4,3,5,7] => [1,4,2,6,3,5,7] => 2
[5,7,1,6,4,3,2] => [1,5,4,6,3,2,7] => [2,7,6,4,3,5,1] => [1,2,7,3,5,4,6] => 2
[5,7,2,1,3,4,6] => [1,5,3,2,7,6,4] => [2,5,4,1,3,7,6] => [1,3,7,2,5,4,6] => 3
[5,7,2,1,4,3,6] => [1,5,4,2,7,6,3] => [2,5,1,4,3,7,6] => [1,4,2,5,3,7,6] => 2
[5,7,2,1,6,3,4] => [1,5,6,3,2,7,4] => [2,6,5,1,3,4,7] => [1,3,4,7,2,6,5] => 3
[5,7,2,3,6,4,1] => [1,5,6,4,3,2,7] => [2,7,6,5,3,4,1] => [1,2,7,3,4,5,6] => 2
[5,7,2,4,1,3,6] => [1,5,2,7,6,3,4] => [2,4,7,1,3,6,5] => [1,3,6,2,4,7,5] => 2
[5,7,2,4,3,1,6] => [1,5,3,2,7,6,4] => [2,5,4,1,3,7,6] => [1,3,7,2,5,4,6] => 3
[5,7,2,4,6,1,3] => [1,5,6,2,7,3,4] => [2,5,7,1,3,4,6] => [1,3,4,6,2,5,7] => 2
[5,7,2,4,6,3,1] => [1,5,6,3,2,7,4] => [2,6,5,1,3,4,7] => [1,3,4,7,2,6,5] => 3
[5,7,2,6,4,1,3] => [1,5,4,6,2,7,3] => [2,6,1,4,3,5,7] => [1,4,2,6,3,5,7] => 2
[5,7,2,6,4,3,1] => [1,5,4,6,3,2,7] => [2,7,6,4,3,5,1] => [1,2,7,3,5,4,6] => 2
[5,7,3,1,4,2,6] => [1,5,4,2,7,6,3] => [2,5,1,4,3,7,6] => [1,4,2,5,3,7,6] => 2
[5,7,3,2,4,1,6] => [1,5,4,2,7,6,3] => [2,5,1,4,3,7,6] => [1,4,2,5,3,7,6] => 2
[5,7,3,4,1,2,6] => [1,5,2,7,6,3,4] => [2,4,7,1,3,6,5] => [1,3,6,2,4,7,5] => 2
[5,7,3,4,2,1,6] => [1,5,2,7,6,3,4] => [2,4,7,1,3,6,5] => [1,3,6,2,4,7,5] => 2
[5,7,3,4,6,1,2] => [1,5,6,2,7,3,4] => [2,5,7,1,3,4,6] => [1,3,4,6,2,5,7] => 2
[5,7,3,4,6,2,1] => [1,5,6,2,7,3,4] => [2,5,7,1,3,4,6] => [1,3,4,6,2,5,7] => 2
[5,7,3,6,4,1,2] => [1,5,4,6,2,7,3] => [2,6,1,4,3,5,7] => [1,4,2,6,3,5,7] => 2
[5,7,3,6,4,2,1] => [1,5,4,6,2,7,3] => [2,6,1,4,3,5,7] => [1,4,2,6,3,5,7] => 2
[5,7,4,1,2,3,6] => [1,5,2,7,6,3,4] => [2,4,7,1,3,6,5] => [1,3,6,2,4,7,5] => 2
[5,7,4,1,6,2,3] => [1,5,6,2,7,3,4] => [2,5,7,1,3,4,6] => [1,3,4,6,2,5,7] => 2
[5,7,4,1,6,3,2] => [1,5,6,3,4,2,7] => [2,7,5,6,3,4,1] => [1,2,7,3,4,5,6] => 2
[5,7,4,2,1,3,6] => [1,5,2,7,6,3,4] => [2,4,7,1,3,6,5] => [1,3,6,2,4,7,5] => 2
[5,7,4,2,6,1,3] => [1,5,6,2,7,3,4] => [2,5,7,1,3,4,6] => [1,3,4,6,2,5,7] => 2
[5,7,4,2,6,3,1] => [1,5,6,3,4,2,7] => [2,7,5,6,3,4,1] => [1,2,7,3,4,5,6] => 2
[5,7,4,3,1,2,6] => [1,5,2,7,6,3,4] => [2,4,7,1,3,6,5] => [1,3,6,2,4,7,5] => 2
[5,7,4,3,2,1,6] => [1,5,2,7,6,3,4] => [2,4,7,1,3,6,5] => [1,3,6,2,4,7,5] => 2
[5,7,4,3,6,1,2] => [1,5,6,2,7,3,4] => [2,5,7,1,3,4,6] => [1,3,4,6,2,5,7] => 2
[5,7,4,3,6,2,1] => [1,5,6,2,7,3,4] => [2,5,7,1,3,4,6] => [1,3,4,6,2,5,7] => 2
[5,7,4,6,3,1,2] => [1,5,3,4,6,2,7] => [2,7,4,5,3,6,1] => [1,2,7,3,6,4,5] => 2
[5,7,4,6,3,2,1] => [1,5,3,4,6,2,7] => [2,7,4,5,3,6,1] => [1,2,7,3,6,4,5] => 2
[5,7,6,1,2,4,3] => [1,5,2,7,3,6,4] => [2,4,6,1,3,7,5] => [1,3,7,2,4,6,5] => 3
[5,7,6,1,3,2,4] => [1,5,3,6,2,7,4] => [2,6,4,1,3,5,7] => [1,3,5,7,2,6,4] => 3
[5,7,6,1,3,4,2] => [1,5,3,6,4,2,7] => [2,7,4,6,3,5,1] => [1,2,7,3,5,4,6] => 2
[5,7,6,2,1,4,3] => [1,5,2,7,3,6,4] => [2,4,6,1,3,7,5] => [1,3,7,2,4,6,5] => 3
[5,7,6,2,3,1,4] => [1,5,3,6,2,7,4] => [2,6,4,1,3,5,7] => [1,3,5,7,2,6,4] => 3
[5,7,6,2,3,4,1] => [1,5,3,6,4,2,7] => [2,7,4,6,3,5,1] => [1,2,7,3,5,4,6] => 2
[5,7,6,3,1,4,2] => [1,5,2,7,3,6,4] => [2,4,6,1,3,7,5] => [1,3,7,2,4,6,5] => 3
[5,7,6,3,2,4,1] => [1,5,2,7,3,6,4] => [2,4,6,1,3,7,5] => [1,3,7,2,4,6,5] => 3
[5,7,6,3,4,1,2] => [1,5,4,3,6,2,7] => [2,7,5,4,3,6,1] => [1,2,7,3,6,4,5] => 2
[5,7,6,3,4,2,1] => [1,5,4,3,6,2,7] => [2,7,5,4,3,6,1] => [1,2,7,3,6,4,5] => 2
[5,7,6,4,1,2,3] => [1,5,2,7,3,6,4] => [2,4,6,1,3,7,5] => [1,3,7,2,4,6,5] => 3
[5,7,6,4,1,3,2] => [1,5,2,7,3,6,4] => [2,4,6,1,3,7,5] => [1,3,7,2,4,6,5] => 3
[5,7,6,4,2,1,3] => [1,5,2,7,3,6,4] => [2,4,6,1,3,7,5] => [1,3,7,2,4,6,5] => 3
[5,7,6,4,2,3,1] => [1,5,2,7,3,6,4] => [2,4,6,1,3,7,5] => [1,3,7,2,4,6,5] => 3
[5,7,6,4,3,1,2] => [1,5,3,6,2,7,4] => [2,6,4,1,3,5,7] => [1,3,5,7,2,6,4] => 3
[5,7,6,4,3,2,1] => [1,5,3,6,2,7,4] => [2,6,4,1,3,5,7] => [1,3,5,7,2,6,4] => 3
[6,1,2,3,4,5,7] => [1,6,5,4,3,2,7] => [2,7,6,5,4,3,1] => [1,2,7,3,4,5,6] => 2
[6,1,2,3,5,4,7] => [1,6,4,3,2,5,7] => [2,6,5,4,7,3,1] => [1,2,6,3,4,7,5] => 2
[6,1,2,3,5,7,4] => [1,6,7,4,3,2,5] => [2,7,6,5,1,3,4] => [1,3,4,2,7,5,6] => 2
[6,1,2,3,7,4,5] => [1,6,4,3,2,5,7] => [2,6,5,4,7,3,1] => [1,2,6,3,4,7,5] => 2
[6,1,2,4,3,5,7] => [1,6,5,3,2,4,7] => [2,6,5,7,4,3,1] => [1,2,6,3,4,5,7] => 2
[6,1,2,4,5,3,7] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,1,2,4,5,7,3] => [1,6,7,3,2,4,5] => [2,6,5,7,1,3,4] => [1,3,4,2,6,5,7] => 2
[6,1,2,4,7,3,5] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,1,2,4,7,5,3] => [1,6,5,7,3,2,4] => [2,7,6,1,4,3,5] => [1,4,2,7,3,5,6] => 2
[6,1,2,5,3,4,7] => [1,6,4,5,3,2,7] => [2,7,6,4,5,3,1] => [1,2,7,3,4,5,6] => 2
[6,1,2,5,4,3,7] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,1,2,5,4,7,3] => [1,6,7,3,2,4,5] => [2,6,5,7,1,3,4] => [1,3,4,2,6,5,7] => 2
[6,1,2,5,7,3,4] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,1,2,7,3,5,4] => [1,6,5,3,2,4,7] => [2,6,5,7,4,3,1] => [1,2,6,3,4,5,7] => 2
[6,1,2,7,4,3,5] => [1,6,3,2,4,7,5] => [2,5,4,6,1,3,7] => [1,3,7,2,5,4,6] => 3
[6,1,2,7,5,3,4] => [1,6,3,2,4,7,5] => [2,5,4,6,1,3,7] => [1,3,7,2,5,4,6] => 3
[6,1,2,7,5,4,3] => [1,6,4,7,3,2,5] => [2,7,6,4,1,3,5] => [1,3,5,2,7,4,6] => 2
[6,1,3,2,4,5,7] => [1,6,5,4,2,3,7] => [2,6,7,5,4,3,1] => [1,2,6,7,3,4,5] => 2
[6,1,3,2,5,4,7] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,1,3,2,5,7,4] => [1,6,7,4,2,3,5] => [2,6,7,5,1,3,4] => [1,3,4,2,6,7,5] => 2
[6,1,3,2,7,4,5] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,1,3,4,2,5,7] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,1,3,4,5,2,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,1,3,4,5,7,2] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,1,3,4,7,2,5] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,1,3,4,7,5,2] => [1,6,5,7,2,3,4] => [2,6,7,1,4,3,5] => [1,4,2,6,7,3,5] => 2
[6,1,3,5,2,4,7] => [1,6,4,5,2,3,7] => [2,6,7,4,5,3,1] => [1,2,6,7,3,4,5] => 2
[6,1,3,5,4,2,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,1,3,5,4,7,2] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,1,3,5,7,2,4] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,1,3,5,7,4,2] => [1,6,4,5,7,2,3] => [2,7,1,4,5,3,6] => [1,4,5,2,7,3,6] => 2
[6,1,3,7,2,4,5] => [1,6,4,7,5,2,3] => [2,7,1,4,6,3,5] => [1,4,6,2,7,3,5] => 2
[6,1,3,7,2,5,4] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,1,3,7,4,2,5] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,1,3,7,5,2,4] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,1,3,7,5,4,2] => [1,6,4,7,2,3,5] => [2,6,7,4,1,3,5] => [1,3,5,2,6,7,4] => 2
[6,1,4,2,3,5,7] => [1,6,5,3,4,2,7] => [2,7,5,6,4,3,1] => [1,2,7,3,4,5,6] => 2
[6,1,4,2,5,3,7] => [1,6,3,4,2,5,7] => [2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => 2
[6,1,4,2,5,7,3] => [1,6,7,3,4,2,5] => [2,7,5,6,1,3,4] => [1,3,4,2,7,5,6] => 2
[6,1,4,2,7,3,5] => [1,6,3,4,2,5,7] => [2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => 2
[6,1,4,3,2,5,7] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,1,4,3,5,2,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,1,4,3,5,7,2] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,1,4,3,7,2,5] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,1,4,3,7,5,2] => [1,6,5,7,2,3,4] => [2,6,7,1,4,3,5] => [1,4,2,6,7,3,5] => 2
[6,1,4,5,2,3,7] => [1,6,3,4,5,2,7] => [2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => 2
[6,1,4,5,3,2,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,1,4,5,3,7,2] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,1,4,5,7,2,3] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,1,4,5,7,3,2] => [1,6,3,4,5,7,2] => [2,1,4,5,6,3,7] => [1,4,5,6,2,3,7] => 2
[6,1,4,7,2,3,5] => [1,6,3,4,7,5,2] => [2,1,4,5,7,3,6] => [1,4,5,7,2,3,6] => 2
[6,1,4,7,2,5,3] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,1,4,7,3,2,5] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,1,4,7,5,2,3] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,1,4,7,5,3,2] => [1,6,3,4,7,2,5] => [2,7,4,5,1,3,6] => [1,3,6,2,7,4,5] => 2
[6,1,5,2,3,4,7] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,1,5,2,3,7,4] => [1,6,7,4,2,3,5] => [2,6,7,5,1,3,4] => [1,3,4,2,6,7,5] => 2
[6,1,5,2,4,3,7] => [1,6,3,5,4,2,7] => [2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => 2
[6,1,5,2,7,4,3] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,1,5,3,2,4,7] => [1,6,4,3,5,2,7] => [2,7,5,4,6,3,1] => [1,2,7,3,4,6,5] => 2
[6,1,5,3,4,2,7] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,1,5,4,2,3,7] => [1,6,3,5,2,4,7] => [2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => 2
[6,1,5,4,3,2,7] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,1,5,7,2,3,4] => [1,6,3,5,2,4,7] => [2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => 2
[6,1,5,7,3,2,4] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,1,5,7,3,4,2] => [1,6,4,7,2,3,5] => [2,6,7,4,1,3,5] => [1,3,5,2,6,7,4] => 2
[6,1,5,7,4,2,3] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,1,5,7,4,3,2] => [1,6,3,5,4,7,2] => [2,1,4,6,5,3,7] => [1,4,6,2,3,7,5] => 2
[6,1,7,2,3,4,5] => [1,6,4,2,3,7,5] => [2,5,6,4,1,3,7] => [1,3,7,2,5,6,4] => 3
[6,1,7,2,4,5,3] => [1,6,5,4,2,3,7] => [2,6,7,5,4,3,1] => [1,2,6,7,3,4,5] => 2
[6,1,7,2,5,3,4] => [1,6,3,7,4,2,5] => [2,7,4,6,1,3,5] => [1,3,5,2,7,4,6] => 2
[6,1,7,2,5,4,3] => [1,6,4,2,3,7,5] => [2,5,6,4,1,3,7] => [1,3,7,2,5,6,4] => 3
[6,1,7,3,2,5,4] => [1,6,5,2,3,7,4] => [2,5,6,1,4,3,7] => [1,4,2,5,6,3,7] => 2
[6,1,7,3,5,2,4] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,1,7,3,5,4,2] => [1,6,4,3,7,2,5] => [2,7,5,4,1,3,6] => [1,3,6,2,7,4,5] => 2
[6,1,7,4,2,5,3] => [1,6,5,2,3,7,4] => [2,5,6,1,4,3,7] => [1,4,2,5,6,3,7] => 2
[6,1,7,4,3,5,2] => [1,6,5,3,7,2,4] => [2,7,5,1,4,3,6] => [1,4,2,7,3,6,5] => 3
[6,1,7,4,5,2,3] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,1,7,4,5,3,2] => [1,6,3,7,2,4,5] => [2,6,4,7,1,3,5] => [1,3,5,2,6,4,7] => 2
[6,1,7,5,2,4,3] => [1,6,4,5,2,3,7] => [2,6,7,4,5,3,1] => [1,2,6,7,3,4,5] => 2
[6,1,7,5,3,2,4] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,1,7,5,4,2,3] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,1,7,5,4,3,2] => [1,6,3,7,2,4,5] => [2,6,4,7,1,3,5] => [1,3,5,2,6,4,7] => 2
[6,2,1,3,4,5,7] => [1,6,5,4,3,2,7] => [2,7,6,5,4,3,1] => [1,2,7,3,4,5,6] => 2
[6,2,1,3,5,4,7] => [1,6,4,3,2,5,7] => [2,6,5,4,7,3,1] => [1,2,6,3,4,7,5] => 2
[6,2,1,3,5,7,4] => [1,6,7,4,3,2,5] => [2,7,6,5,1,3,4] => [1,3,4,2,7,5,6] => 2
[6,2,1,3,7,4,5] => [1,6,4,3,2,5,7] => [2,6,5,4,7,3,1] => [1,2,6,3,4,7,5] => 2
[6,2,1,4,3,5,7] => [1,6,5,3,2,4,7] => [2,6,5,7,4,3,1] => [1,2,6,3,4,5,7] => 2
[6,2,1,4,5,3,7] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,2,1,4,5,7,3] => [1,6,7,3,2,4,5] => [2,6,5,7,1,3,4] => [1,3,4,2,6,5,7] => 2
[6,2,1,4,7,3,5] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,2,1,4,7,5,3] => [1,6,5,7,3,2,4] => [2,7,6,1,4,3,5] => [1,4,2,7,3,5,6] => 2
[6,2,1,5,3,4,7] => [1,6,4,5,3,2,7] => [2,7,6,4,5,3,1] => [1,2,7,3,4,5,6] => 2
[6,2,1,5,4,3,7] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,2,1,5,4,7,3] => [1,6,7,3,2,4,5] => [2,6,5,7,1,3,4] => [1,3,4,2,6,5,7] => 2
[6,2,1,5,7,3,4] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,2,1,7,3,5,4] => [1,6,5,3,2,4,7] => [2,6,5,7,4,3,1] => [1,2,6,3,4,5,7] => 2
[6,2,1,7,4,3,5] => [1,6,3,2,4,7,5] => [2,5,4,6,1,3,7] => [1,3,7,2,5,4,6] => 3
[6,2,1,7,5,3,4] => [1,6,3,2,4,7,5] => [2,5,4,6,1,3,7] => [1,3,7,2,5,4,6] => 3
[6,2,1,7,5,4,3] => [1,6,4,7,3,2,5] => [2,7,6,4,1,3,5] => [1,3,5,2,7,4,6] => 2
[6,2,3,1,4,5,7] => [1,6,5,4,2,3,7] => [2,6,7,5,4,3,1] => [1,2,6,7,3,4,5] => 2
[6,2,3,1,5,4,7] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,2,3,1,5,7,4] => [1,6,7,4,2,3,5] => [2,6,7,5,1,3,4] => [1,3,4,2,6,7,5] => 2
[6,2,3,1,7,4,5] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,2,3,4,1,5,7] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,2,3,4,5,1,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,2,3,4,5,7,1] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,2,3,4,7,1,5] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,2,3,4,7,5,1] => [1,6,5,7,2,3,4] => [2,6,7,1,4,3,5] => [1,4,2,6,7,3,5] => 2
[6,2,3,5,1,4,7] => [1,6,4,5,2,3,7] => [2,6,7,4,5,3,1] => [1,2,6,7,3,4,5] => 2
[6,2,3,5,4,1,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,2,3,5,4,7,1] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,2,3,5,7,1,4] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,2,3,5,7,4,1] => [1,6,4,5,7,2,3] => [2,7,1,4,5,3,6] => [1,4,5,2,7,3,6] => 2
[6,2,3,7,1,4,5] => [1,6,4,7,5,2,3] => [2,7,1,4,6,3,5] => [1,4,6,2,7,3,5] => 2
[6,2,3,7,1,5,4] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,2,3,7,4,1,5] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,2,3,7,5,1,4] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,2,3,7,5,4,1] => [1,6,4,7,2,3,5] => [2,6,7,4,1,3,5] => [1,3,5,2,6,7,4] => 2
[6,2,4,1,3,5,7] => [1,6,5,3,4,2,7] => [2,7,5,6,4,3,1] => [1,2,7,3,4,5,6] => 2
[6,2,4,1,5,3,7] => [1,6,3,4,2,5,7] => [2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => 2
[6,2,4,1,5,7,3] => [1,6,7,3,4,2,5] => [2,7,5,6,1,3,4] => [1,3,4,2,7,5,6] => 2
[6,2,4,1,7,3,5] => [1,6,3,4,2,5,7] => [2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => 2
[6,2,4,3,1,5,7] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,2,4,3,5,1,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,2,4,3,5,7,1] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,2,4,3,7,1,5] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,2,4,3,7,5,1] => [1,6,5,7,2,3,4] => [2,6,7,1,4,3,5] => [1,4,2,6,7,3,5] => 2
[6,2,4,5,1,3,7] => [1,6,3,4,5,2,7] => [2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => 2
[6,2,4,5,3,1,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,2,4,5,3,7,1] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,2,4,5,7,1,3] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,2,4,5,7,3,1] => [1,6,3,4,5,7,2] => [2,1,4,5,6,3,7] => [1,4,5,6,2,3,7] => 2
[6,2,4,7,1,3,5] => [1,6,3,4,7,5,2] => [2,1,4,5,7,3,6] => [1,4,5,7,2,3,6] => 2
[6,2,4,7,1,5,3] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,2,4,7,3,1,5] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,2,4,7,5,1,3] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,2,4,7,5,3,1] => [1,6,3,4,7,2,5] => [2,7,4,5,1,3,6] => [1,3,6,2,7,4,5] => 2
[6,2,5,1,3,4,7] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,2,5,1,3,7,4] => [1,6,7,4,2,3,5] => [2,6,7,5,1,3,4] => [1,3,4,2,6,7,5] => 2
[6,2,5,1,4,3,7] => [1,6,3,5,4,2,7] => [2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => 2
[6,2,5,1,7,4,3] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,2,5,3,1,4,7] => [1,6,4,3,5,2,7] => [2,7,5,4,6,3,1] => [1,2,7,3,4,6,5] => 2
[6,2,5,3,4,1,7] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,2,5,4,1,3,7] => [1,6,3,5,2,4,7] => [2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => 2
[6,2,5,4,3,1,7] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,2,5,7,1,3,4] => [1,6,3,5,2,4,7] => [2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => 2
[6,2,5,7,3,1,4] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,2,5,7,3,4,1] => [1,6,4,7,2,3,5] => [2,6,7,4,1,3,5] => [1,3,5,2,6,7,4] => 2
[6,2,5,7,4,1,3] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,2,5,7,4,3,1] => [1,6,3,5,4,7,2] => [2,1,4,6,5,3,7] => [1,4,6,2,3,7,5] => 2
[6,2,7,1,3,4,5] => [1,6,4,2,3,7,5] => [2,5,6,4,1,3,7] => [1,3,7,2,5,6,4] => 3
[6,2,7,1,4,5,3] => [1,6,5,4,2,3,7] => [2,6,7,5,4,3,1] => [1,2,6,7,3,4,5] => 2
[6,2,7,1,5,3,4] => [1,6,3,7,4,2,5] => [2,7,4,6,1,3,5] => [1,3,5,2,7,4,6] => 2
[6,2,7,1,5,4,3] => [1,6,4,2,3,7,5] => [2,5,6,4,1,3,7] => [1,3,7,2,5,6,4] => 3
[6,2,7,3,1,5,4] => [1,6,5,2,3,7,4] => [2,5,6,1,4,3,7] => [1,4,2,5,6,3,7] => 2
[6,2,7,3,5,1,4] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,2,7,3,5,4,1] => [1,6,4,3,7,2,5] => [2,7,5,4,1,3,6] => [1,3,6,2,7,4,5] => 2
[6,2,7,4,1,5,3] => [1,6,5,2,3,7,4] => [2,5,6,1,4,3,7] => [1,4,2,5,6,3,7] => 2
[6,2,7,4,3,5,1] => [1,6,5,3,7,2,4] => [2,7,5,1,4,3,6] => [1,4,2,7,3,6,5] => 3
[6,2,7,4,5,1,3] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,2,7,4,5,3,1] => [1,6,3,7,2,4,5] => [2,6,4,7,1,3,5] => [1,3,5,2,6,4,7] => 2
[6,2,7,5,1,4,3] => [1,6,4,5,2,3,7] => [2,6,7,4,5,3,1] => [1,2,6,7,3,4,5] => 2
[6,2,7,5,3,1,4] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,2,7,5,4,1,3] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,2,7,5,4,3,1] => [1,6,3,7,2,4,5] => [2,6,4,7,1,3,5] => [1,3,5,2,6,4,7] => 2
[6,3,1,2,4,5,7] => [1,6,5,4,2,3,7] => [2,6,7,5,4,3,1] => [1,2,6,7,3,4,5] => 2
[6,3,1,2,5,4,7] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,3,1,2,5,7,4] => [1,6,7,4,2,3,5] => [2,6,7,5,1,3,4] => [1,3,4,2,6,7,5] => 2
[6,3,1,2,7,4,5] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,3,1,4,2,5,7] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,3,1,4,5,2,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,1,4,5,7,2] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,3,1,4,7,2,5] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,1,4,7,5,2] => [1,6,5,7,2,3,4] => [2,6,7,1,4,3,5] => [1,4,2,6,7,3,5] => 2
[6,3,1,5,2,4,7] => [1,6,4,5,2,3,7] => [2,6,7,4,5,3,1] => [1,2,6,7,3,4,5] => 2
[6,3,1,5,4,2,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,1,5,4,7,2] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,3,1,5,7,2,4] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,1,5,7,4,2] => [1,6,4,5,7,2,3] => [2,7,1,4,5,3,6] => [1,4,5,2,7,3,6] => 2
[6,3,1,7,2,4,5] => [1,6,4,7,5,2,3] => [2,7,1,4,6,3,5] => [1,4,6,2,7,3,5] => 2
[6,3,1,7,2,5,4] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,3,1,7,4,2,5] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,3,1,7,5,2,4] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,3,1,7,5,4,2] => [1,6,4,7,2,3,5] => [2,6,7,4,1,3,5] => [1,3,5,2,6,7,4] => 2
[6,3,2,1,4,5,7] => [1,6,5,4,2,3,7] => [2,6,7,5,4,3,1] => [1,2,6,7,3,4,5] => 2
[6,3,2,1,5,4,7] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,3,2,1,5,7,4] => [1,6,7,4,2,3,5] => [2,6,7,5,1,3,4] => [1,3,4,2,6,7,5] => 2
[6,3,2,1,7,4,5] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,3,2,4,1,5,7] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,3,2,4,5,1,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,2,4,5,7,1] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,3,2,4,7,1,5] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,2,4,7,5,1] => [1,6,5,7,2,3,4] => [2,6,7,1,4,3,5] => [1,4,2,6,7,3,5] => 2
[6,3,2,5,1,4,7] => [1,6,4,5,2,3,7] => [2,6,7,4,5,3,1] => [1,2,6,7,3,4,5] => 2
[6,3,2,5,4,1,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,2,5,4,7,1] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,3,2,5,7,1,4] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,2,5,7,4,1] => [1,6,4,5,7,2,3] => [2,7,1,4,5,3,6] => [1,4,5,2,7,3,6] => 2
[6,3,2,7,1,4,5] => [1,6,4,7,5,2,3] => [2,7,1,4,6,3,5] => [1,4,6,2,7,3,5] => 2
[6,3,2,7,1,5,4] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,3,2,7,4,1,5] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,3,2,7,5,1,4] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,3,2,7,5,4,1] => [1,6,4,7,2,3,5] => [2,6,7,4,1,3,5] => [1,3,5,2,6,7,4] => 2
[6,3,4,1,2,5,7] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,3,4,1,5,2,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,4,1,5,7,2] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,3,4,1,7,2,5] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,4,1,7,5,2] => [1,6,5,7,2,3,4] => [2,6,7,1,4,3,5] => [1,4,2,6,7,3,5] => 2
[6,3,4,2,1,5,7] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,3,4,2,5,1,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,4,2,5,7,1] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,3,4,2,7,1,5] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,4,2,7,5,1] => [1,6,5,7,2,3,4] => [2,6,7,1,4,3,5] => [1,4,2,6,7,3,5] => 2
[6,3,4,5,1,2,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,4,5,1,7,2] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,3,4,5,2,1,7] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,4,5,2,7,1] => [1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 2
[6,3,4,5,7,1,2] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,4,5,7,2,1] => [1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 2
[6,3,4,7,1,2,5] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,3,4,7,1,5,2] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,3,4,7,2,1,5] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,3,4,7,2,5,1] => [1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 2
[6,3,4,7,5,1,2] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,3,4,7,5,2,1] => [1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 2
[6,3,5,1,2,4,7] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,3,5,1,2,7,4] => [1,6,7,4,2,3,5] => [2,6,7,5,1,3,4] => [1,3,4,2,6,7,5] => 2
[6,3,5,1,4,2,7] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,3,5,1,7,4,2] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,3,5,2,1,4,7] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,3,5,2,1,7,4] => [1,6,7,4,2,3,5] => [2,6,7,5,1,3,4] => [1,3,4,2,6,7,5] => 2
[6,3,5,2,4,1,7] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,3,5,2,7,4,1] => [1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 2
[6,3,5,4,1,2,7] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,3,5,4,2,1,7] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,3,5,7,1,2,4] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,3,5,7,1,4,2] => [1,6,4,7,2,3,5] => [2,6,7,4,1,3,5] => [1,3,5,2,6,7,4] => 2
[6,3,5,7,2,1,4] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,3,5,7,2,4,1] => [1,6,4,7,2,3,5] => [2,6,7,4,1,3,5] => [1,3,5,2,6,7,4] => 2
[6,3,5,7,4,1,2] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,3,5,7,4,2,1] => [1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 2
[6,3,7,1,2,4,5] => [1,6,4,2,3,7,5] => [2,5,6,4,1,3,7] => [1,3,7,2,5,6,4] => 3
[6,3,7,1,2,5,4] => [1,6,5,2,3,7,4] => [2,5,6,1,4,3,7] => [1,4,2,5,6,3,7] => 2
[6,3,7,1,4,5,2] => [1,6,5,4,2,3,7] => [2,6,7,5,4,3,1] => [1,2,6,7,3,4,5] => 2
[6,3,7,1,5,2,4] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,3,7,1,5,4,2] => [1,6,4,2,3,7,5] => [2,5,6,4,1,3,7] => [1,3,7,2,5,6,4] => 3
[6,3,7,2,1,4,5] => [1,6,4,2,3,7,5] => [2,5,6,4,1,3,7] => [1,3,7,2,5,6,4] => 3
[6,3,7,2,1,5,4] => [1,6,5,2,3,7,4] => [2,5,6,1,4,3,7] => [1,4,2,5,6,3,7] => 2
[6,3,7,2,4,5,1] => [1,6,5,4,2,3,7] => [2,6,7,5,4,3,1] => [1,2,6,7,3,4,5] => 2
[6,3,7,2,5,1,4] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,3,7,2,5,4,1] => [1,6,4,2,3,7,5] => [2,5,6,4,1,3,7] => [1,3,7,2,5,6,4] => 3
[6,3,7,4,1,5,2] => [1,6,5,2,3,7,4] => [2,5,6,1,4,3,7] => [1,4,2,5,6,3,7] => 2
[6,3,7,4,2,5,1] => [1,6,5,2,3,7,4] => [2,5,6,1,4,3,7] => [1,4,2,5,6,3,7] => 2
[6,3,7,4,5,1,2] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,3,7,4,5,2,1] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,3,7,5,1,2,4] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,3,7,5,1,4,2] => [1,6,4,5,2,3,7] => [2,6,7,4,5,3,1] => [1,2,6,7,3,4,5] => 2
[6,3,7,5,2,1,4] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,3,7,5,2,4,1] => [1,6,4,5,2,3,7] => [2,6,7,4,5,3,1] => [1,2,6,7,3,4,5] => 2
[6,3,7,5,4,1,2] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,3,7,5,4,2,1] => [1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 2
[6,4,1,2,3,5,7] => [1,6,5,3,2,4,7] => [2,6,5,7,4,3,1] => [1,2,6,3,4,5,7] => 2
[6,4,1,2,5,3,7] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,4,1,2,5,7,3] => [1,6,7,3,2,4,5] => [2,6,5,7,1,3,4] => [1,3,4,2,6,5,7] => 2
[6,4,1,2,7,3,5] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,4,1,2,7,5,3] => [1,6,5,7,3,2,4] => [2,7,6,1,4,3,5] => [1,4,2,7,3,5,6] => 2
[6,4,1,3,2,5,7] => [1,6,5,2,4,3,7] => [2,5,7,6,4,3,1] => [1,2,5,7,3,4,6] => 2
[6,4,1,3,5,2,7] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,1,3,5,7,2] => [1,6,7,2,4,3,5] => [2,5,7,6,1,3,4] => [1,3,4,2,5,7,6] => 2
[6,4,1,3,7,2,5] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,1,5,2,3,7] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,4,1,5,2,7,3] => [1,6,7,3,2,4,5] => [2,6,5,7,1,3,4] => [1,3,4,2,6,5,7] => 2
[6,4,1,5,3,2,7] => [1,6,2,4,5,3,7] => [2,4,7,5,6,3,1] => [1,2,4,7,3,5,6] => 2
[6,4,1,5,7,3,2] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,4,1,7,2,3,5] => [1,6,3,2,4,7,5] => [2,5,4,6,1,3,7] => [1,3,7,2,5,4,6] => 3
[6,4,1,7,3,5,2] => [1,6,5,3,2,4,7] => [2,6,5,7,4,3,1] => [1,2,6,3,4,5,7] => 2
[6,4,1,7,5,2,3] => [1,6,2,4,7,3,5] => [2,4,7,5,1,3,6] => [1,3,6,2,4,7,5] => 2
[6,4,1,7,5,3,2] => [1,6,3,2,4,7,5] => [2,5,4,6,1,3,7] => [1,3,7,2,5,4,6] => 3
[6,4,2,1,3,5,7] => [1,6,5,3,2,4,7] => [2,6,5,7,4,3,1] => [1,2,6,3,4,5,7] => 2
[6,4,2,1,5,3,7] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,4,2,1,5,7,3] => [1,6,7,3,2,4,5] => [2,6,5,7,1,3,4] => [1,3,4,2,6,5,7] => 2
[6,4,2,1,7,3,5] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,4,2,1,7,5,3] => [1,6,5,7,3,2,4] => [2,7,6,1,4,3,5] => [1,4,2,7,3,5,6] => 2
[6,4,2,3,1,5,7] => [1,6,5,2,4,3,7] => [2,5,7,6,4,3,1] => [1,2,5,7,3,4,6] => 2
[6,4,2,3,5,1,7] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,2,3,5,7,1] => [1,6,7,2,4,3,5] => [2,5,7,6,1,3,4] => [1,3,4,2,5,7,6] => 2
[6,4,2,3,7,1,5] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,2,5,1,3,7] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,4,2,5,1,7,3] => [1,6,7,3,2,4,5] => [2,6,5,7,1,3,4] => [1,3,4,2,6,5,7] => 2
[6,4,2,5,3,1,7] => [1,6,2,4,5,3,7] => [2,4,7,5,6,3,1] => [1,2,4,7,3,5,6] => 2
[6,4,2,5,7,3,1] => [1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 2
[6,4,2,7,1,3,5] => [1,6,3,2,4,7,5] => [2,5,4,6,1,3,7] => [1,3,7,2,5,4,6] => 3
[6,4,2,7,3,5,1] => [1,6,5,3,2,4,7] => [2,6,5,7,4,3,1] => [1,2,6,3,4,5,7] => 2
[6,4,2,7,5,1,3] => [1,6,2,4,7,3,5] => [2,4,7,5,1,3,6] => [1,3,6,2,4,7,5] => 2
[6,4,2,7,5,3,1] => [1,6,3,2,4,7,5] => [2,5,4,6,1,3,7] => [1,3,7,2,5,4,6] => 3
[6,4,3,1,2,5,7] => [1,6,5,2,4,3,7] => [2,5,7,6,4,3,1] => [1,2,5,7,3,4,6] => 2
[6,4,3,1,5,2,7] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,3,1,5,7,2] => [1,6,7,2,4,3,5] => [2,5,7,6,1,3,4] => [1,3,4,2,5,7,6] => 2
[6,4,3,1,7,2,5] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,3,2,1,5,7] => [1,6,5,2,4,3,7] => [2,5,7,6,4,3,1] => [1,2,5,7,3,4,6] => 2
[6,4,3,2,5,1,7] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,3,2,5,7,1] => [1,6,7,2,4,3,5] => [2,5,7,6,1,3,4] => [1,3,4,2,5,7,6] => 2
[6,4,3,2,7,1,5] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,3,5,1,2,7] => [1,6,2,4,5,3,7] => [2,4,7,5,6,3,1] => [1,2,4,7,3,5,6] => 2
[6,4,3,5,2,1,7] => [1,6,2,4,5,3,7] => [2,4,7,5,6,3,1] => [1,2,4,7,3,5,6] => 2
[6,4,3,7,5,1,2] => [1,6,2,4,7,3,5] => [2,4,7,5,1,3,6] => [1,3,6,2,4,7,5] => 2
[6,4,3,7,5,2,1] => [1,6,2,4,7,3,5] => [2,4,7,5,1,3,6] => [1,3,6,2,4,7,5] => 2
[6,4,5,1,2,3,7] => [1,6,3,5,2,4,7] => [2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => 2
[6,4,5,1,3,2,7] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,5,1,3,7,2] => [1,6,7,2,4,3,5] => [2,5,7,6,1,3,4] => [1,3,4,2,5,7,6] => 2
[6,4,5,1,7,2,3] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,5,2,1,3,7] => [1,6,3,5,2,4,7] => [2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => 2
[6,4,5,2,3,1,7] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,5,2,3,7,1] => [1,6,7,2,4,3,5] => [2,5,7,6,1,3,4] => [1,3,4,2,5,7,6] => 2
[6,4,5,2,7,1,3] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,5,3,1,2,7] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,5,3,1,7,2] => [1,6,7,2,4,3,5] => [2,5,7,6,1,3,4] => [1,3,4,2,5,7,6] => 2
[6,4,5,3,2,1,7] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,5,3,2,7,1] => [1,6,7,2,4,3,5] => [2,5,7,6,1,3,4] => [1,3,4,2,5,7,6] => 2
[6,4,5,3,7,1,2] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,5,3,7,2,1] => [1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 2
[6,4,5,7,1,2,3] => [1,6,2,4,7,3,5] => [2,4,7,5,1,3,6] => [1,3,6,2,4,7,5] => 2
[6,4,5,7,1,3,2] => [1,6,3,5,2,4,7] => [2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => 2
[6,4,5,7,2,1,3] => [1,6,2,4,7,3,5] => [2,4,7,5,1,3,6] => [1,3,6,2,4,7,5] => 2
[6,4,5,7,2,3,1] => [1,6,3,5,2,4,7] => [2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => 2
[6,4,5,7,3,1,2] => [1,6,2,4,7,3,5] => [2,4,7,5,1,3,6] => [1,3,6,2,4,7,5] => 2
[6,4,5,7,3,2,1] => [1,6,2,4,7,3,5] => [2,4,7,5,1,3,6] => [1,3,6,2,4,7,5] => 2
[6,4,7,1,2,5,3] => [1,6,5,2,4,3,7] => [2,5,7,6,4,3,1] => [1,2,5,7,3,4,6] => 2
[6,4,7,1,3,2,5] => [1,6,2,4,3,7,5] => [2,4,6,5,1,3,7] => [1,3,7,2,4,6,5] => 3
[6,4,7,1,3,5,2] => [1,6,5,3,7,2,4] => [2,7,5,1,4,3,6] => [1,4,2,7,3,6,5] => 3
[6,4,7,1,5,2,3] => [1,6,2,4,3,7,5] => [2,4,6,5,1,3,7] => [1,3,7,2,4,6,5] => 3
[6,4,7,1,5,3,2] => [1,6,3,7,2,4,5] => [2,6,4,7,1,3,5] => [1,3,5,2,6,4,7] => 2
[6,4,7,2,1,5,3] => [1,6,5,2,4,3,7] => [2,5,7,6,4,3,1] => [1,2,5,7,3,4,6] => 2
[6,4,7,2,3,1,5] => [1,6,2,4,3,7,5] => [2,4,6,5,1,3,7] => [1,3,7,2,4,6,5] => 3
[6,4,7,2,3,5,1] => [1,6,5,3,7,2,4] => [2,7,5,1,4,3,6] => [1,4,2,7,3,6,5] => 3
[6,4,7,2,5,1,3] => [1,6,2,4,3,7,5] => [2,4,6,5,1,3,7] => [1,3,7,2,4,6,5] => 3
[6,4,7,2,5,3,1] => [1,6,3,7,2,4,5] => [2,6,4,7,1,3,5] => [1,3,5,2,6,4,7] => 2
[6,4,7,3,1,2,5] => [1,6,2,4,3,7,5] => [2,4,6,5,1,3,7] => [1,3,7,2,4,6,5] => 3
[6,4,7,3,1,5,2] => [1,6,5,2,4,3,7] => [2,5,7,6,4,3,1] => [1,2,5,7,3,4,6] => 2
[6,4,7,3,2,1,5] => [1,6,2,4,3,7,5] => [2,4,6,5,1,3,7] => [1,3,7,2,4,6,5] => 3
[6,4,7,3,2,5,1] => [1,6,5,2,4,3,7] => [2,5,7,6,4,3,1] => [1,2,5,7,3,4,6] => 2
[6,4,7,3,5,1,2] => [1,6,2,4,3,7,5] => [2,4,6,5,1,3,7] => [1,3,7,2,4,6,5] => 3
[6,4,7,3,5,2,1] => [1,6,2,4,3,7,5] => [2,4,6,5,1,3,7] => [1,3,7,2,4,6,5] => 3
[6,4,7,5,1,2,3] => [1,6,2,4,5,3,7] => [2,4,7,5,6,3,1] => [1,2,4,7,3,5,6] => 2
[6,4,7,5,1,3,2] => [1,6,3,7,2,4,5] => [2,6,4,7,1,3,5] => [1,3,5,2,6,4,7] => 2
[6,4,7,5,2,1,3] => [1,6,2,4,5,3,7] => [2,4,7,5,6,3,1] => [1,2,4,7,3,5,6] => 2
[6,4,7,5,2,3,1] => [1,6,3,7,2,4,5] => [2,6,4,7,1,3,5] => [1,3,5,2,6,4,7] => 2
[6,4,7,5,3,1,2] => [1,6,2,4,5,3,7] => [2,4,7,5,6,3,1] => [1,2,4,7,3,5,6] => 2
[6,4,7,5,3,2,1] => [1,6,2,4,5,3,7] => [2,4,7,5,6,3,1] => [1,2,4,7,3,5,6] => 2
[6,5,1,2,3,4,7] => [1,6,4,2,5,3,7] => [2,5,7,4,6,3,1] => [1,2,5,7,3,4,6] => 2
[6,5,1,2,4,3,7] => [1,6,3,2,5,4,7] => [2,5,4,7,6,3,1] => [1,2,5,3,4,7,6] => 2
[6,5,1,2,7,4,3] => [1,6,4,2,5,7,3] => [2,5,1,4,6,3,7] => [1,4,6,2,5,3,7] => 3
[6,5,1,3,2,4,7] => [1,6,4,3,2,5,7] => [2,6,5,4,7,3,1] => [1,2,6,3,4,7,5] => 2
[6,5,1,3,2,7,4] => [1,6,7,4,3,2,5] => [2,7,6,5,1,3,4] => [1,3,4,2,7,5,6] => 2
[6,5,1,3,4,2,7] => [1,6,2,5,4,3,7] => [2,4,7,6,5,3,1] => [1,2,4,7,3,5,6] => 2
[6,5,1,3,7,4,2] => [1,6,4,3,2,5,7] => [2,6,5,4,7,3,1] => [1,2,6,3,4,7,5] => 2
[6,5,1,4,2,3,7] => [1,6,3,2,5,4,7] => [2,5,4,7,6,3,1] => [1,2,5,3,4,7,6] => 2
[6,5,1,4,3,2,7] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,1,7,2,3,4] => [1,6,3,2,5,4,7] => [2,5,4,7,6,3,1] => [1,2,5,3,4,7,6] => 2
[6,5,1,7,2,4,3] => [1,6,4,7,3,2,5] => [2,7,6,4,1,3,5] => [1,3,5,2,7,4,6] => 2
[6,5,1,7,3,2,4] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,1,7,4,3,2] => [1,6,3,2,5,4,7] => [2,5,4,7,6,3,1] => [1,2,5,3,4,7,6] => 2
[6,5,2,1,3,4,7] => [1,6,4,2,5,3,7] => [2,5,7,4,6,3,1] => [1,2,5,7,3,4,6] => 2
[6,5,2,1,4,3,7] => [1,6,3,2,5,4,7] => [2,5,4,7,6,3,1] => [1,2,5,3,4,7,6] => 2
[6,5,2,1,7,4,3] => [1,6,4,2,5,7,3] => [2,5,1,4,6,3,7] => [1,4,6,2,5,3,7] => 3
[6,5,2,3,1,4,7] => [1,6,4,3,2,5,7] => [2,6,5,4,7,3,1] => [1,2,6,3,4,7,5] => 2
[6,5,2,3,1,7,4] => [1,6,7,4,3,2,5] => [2,7,6,5,1,3,4] => [1,3,4,2,7,5,6] => 2
[6,5,2,3,4,1,7] => [1,6,2,5,4,3,7] => [2,4,7,6,5,3,1] => [1,2,4,7,3,5,6] => 2
[6,5,2,3,7,4,1] => [1,6,4,3,2,5,7] => [2,6,5,4,7,3,1] => [1,2,6,3,4,7,5] => 2
[6,5,2,4,1,3,7] => [1,6,3,2,5,4,7] => [2,5,4,7,6,3,1] => [1,2,5,3,4,7,6] => 2
[6,5,2,4,3,1,7] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,2,7,1,3,4] => [1,6,3,2,5,4,7] => [2,5,4,7,6,3,1] => [1,2,5,3,4,7,6] => 2
[6,5,2,7,1,4,3] => [1,6,4,7,3,2,5] => [2,7,6,4,1,3,5] => [1,3,5,2,7,4,6] => 2
[6,5,2,7,3,1,4] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,2,7,4,3,1] => [1,6,3,2,5,4,7] => [2,5,4,7,6,3,1] => [1,2,5,3,4,7,6] => 2
[6,5,3,1,2,4,7] => [1,6,4,2,5,3,7] => [2,5,7,4,6,3,1] => [1,2,5,7,3,4,6] => 2
[6,5,3,1,4,2,7] => [1,6,2,5,4,3,7] => [2,4,7,6,5,3,1] => [1,2,4,7,3,5,6] => 2
[6,5,3,1,7,4,2] => [1,6,4,2,5,7,3] => [2,5,1,4,6,3,7] => [1,4,6,2,5,3,7] => 3
[6,5,3,2,1,4,7] => [1,6,4,2,5,3,7] => [2,5,7,4,6,3,1] => [1,2,5,7,3,4,6] => 2
[6,5,3,2,4,1,7] => [1,6,2,5,4,3,7] => [2,4,7,6,5,3,1] => [1,2,4,7,3,5,6] => 2
[6,5,3,2,7,4,1] => [1,6,4,2,5,7,3] => [2,5,1,4,6,3,7] => [1,4,6,2,5,3,7] => 3
[6,5,3,4,1,2,7] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,3,4,2,1,7] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,3,7,1,2,4] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,3,7,2,1,4] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,4,1,2,3,7] => [1,6,3,4,2,5,7] => [2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => 2
[6,5,4,1,2,7,3] => [1,6,7,3,4,2,5] => [2,7,5,6,1,3,4] => [1,3,4,2,7,5,6] => 2
[6,5,4,1,3,2,7] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,4,1,7,3,2] => [1,6,3,4,2,5,7] => [2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => 2
[6,5,4,2,1,3,7] => [1,6,3,4,2,5,7] => [2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => 2
[6,5,4,2,1,7,3] => [1,6,7,3,4,2,5] => [2,7,5,6,1,3,4] => [1,3,4,2,7,5,6] => 2
[6,5,4,2,3,1,7] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,4,2,7,3,1] => [1,6,3,4,2,5,7] => [2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => 2
[6,5,4,3,1,2,7] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,4,3,2,1,7] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,4,7,1,2,3] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,4,7,1,3,2] => [1,6,3,4,7,2,5] => [2,7,4,5,1,3,6] => [1,3,6,2,7,4,5] => 2
[6,5,4,7,2,1,3] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,4,7,2,3,1] => [1,6,3,4,7,2,5] => [2,7,4,5,1,3,6] => [1,3,6,2,7,4,5] => 2
[6,5,4,7,3,1,2] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,4,7,3,2,1] => [1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 2
[6,5,7,1,2,3,4] => [1,6,3,7,4,2,5] => [2,7,4,6,1,3,5] => [1,3,5,2,7,4,6] => 2
[6,5,7,1,2,4,3] => [1,6,4,2,5,3,7] => [2,5,7,4,6,3,1] => [1,2,5,7,3,4,6] => 2
[6,5,7,1,3,4,2] => [1,6,4,2,5,3,7] => [2,5,7,4,6,3,1] => [1,2,5,7,3,4,6] => 2
[6,5,7,1,4,2,3] => [1,6,2,5,4,3,7] => [2,4,7,6,5,3,1] => [1,2,4,7,3,5,6] => 2
[6,5,7,2,1,3,4] => [1,6,3,7,4,2,5] => [2,7,4,6,1,3,5] => [1,3,5,2,7,4,6] => 2
[6,5,7,2,1,4,3] => [1,6,4,2,5,3,7] => [2,5,7,4,6,3,1] => [1,2,5,7,3,4,6] => 2
[6,5,7,2,3,4,1] => [1,6,4,2,5,3,7] => [2,5,7,4,6,3,1] => [1,2,5,7,3,4,6] => 2
[6,5,7,2,4,1,3] => [1,6,2,5,4,3,7] => [2,4,7,6,5,3,1] => [1,2,4,7,3,5,6] => 2
[6,5,7,3,1,4,2] => [1,6,4,3,7,2,5] => [2,7,5,4,1,3,6] => [1,3,6,2,7,4,5] => 2
[6,5,7,3,2,4,1] => [1,6,4,3,7,2,5] => [2,7,5,4,1,3,6] => [1,3,6,2,7,4,5] => 2
[6,5,7,3,4,1,2] => [1,6,2,5,4,3,7] => [2,4,7,6,5,3,1] => [1,2,4,7,3,5,6] => 2
[6,5,7,3,4,2,1] => [1,6,2,5,4,3,7] => [2,4,7,6,5,3,1] => [1,2,4,7,3,5,6] => 2
[6,7,1,2,3,5,4] => [1,6,5,3,2,7,4] => [2,6,5,1,4,3,7] => [1,4,2,6,3,7,5] => 2
[6,7,1,2,5,3,4] => [1,6,3,2,7,4,5] => [2,5,4,7,1,3,6] => [1,3,6,2,5,4,7] => 3
[6,7,1,2,5,4,3] => [1,6,4,2,7,3,5] => [2,5,7,4,1,3,6] => [1,3,6,2,5,7,4] => 3
[6,7,1,3,2,4,5] => [1,6,4,3,2,7,5] => [2,6,5,4,1,3,7] => [1,3,7,2,6,4,5] => 3
[6,7,1,3,4,5,2] => [1,6,5,4,3,2,7] => [2,7,6,5,4,3,1] => [1,2,7,3,4,5,6] => 2
[6,7,1,3,5,2,4] => [1,6,2,7,4,3,5] => [2,4,7,6,1,3,5] => [1,3,5,2,4,7,6] => 2
[6,7,1,3,5,4,2] => [1,6,4,3,2,7,5] => [2,6,5,4,1,3,7] => [1,3,7,2,6,4,5] => 3
[6,7,1,4,2,5,3] => [1,6,5,2,7,3,4] => [2,5,7,1,4,3,6] => [1,4,2,5,7,3,6] => 2
[6,7,1,4,3,5,2] => [1,6,5,3,2,7,4] => [2,6,5,1,4,3,7] => [1,4,2,6,3,7,5] => 2
[6,7,1,4,5,2,3] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,1,4,5,3,2] => [1,6,3,2,7,4,5] => [2,5,4,7,1,3,6] => [1,3,6,2,5,4,7] => 3
[6,7,1,5,2,3,4] => [1,6,3,2,7,4,5] => [2,5,4,7,1,3,6] => [1,3,6,2,5,4,7] => 3
[6,7,1,5,2,4,3] => [1,6,4,5,2,7,3] => [2,6,1,4,5,3,7] => [1,4,5,2,6,3,7] => 2
[6,7,1,5,3,4,2] => [1,6,4,5,3,2,7] => [2,7,6,4,5,3,1] => [1,2,7,3,4,5,6] => 2
[6,7,1,5,4,2,3] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,1,5,4,3,2] => [1,6,3,2,7,4,5] => [2,5,4,7,1,3,6] => [1,3,6,2,5,4,7] => 3
[6,7,2,1,3,5,4] => [1,6,5,3,2,7,4] => [2,6,5,1,4,3,7] => [1,4,2,6,3,7,5] => 2
[6,7,2,1,5,3,4] => [1,6,3,2,7,4,5] => [2,5,4,7,1,3,6] => [1,3,6,2,5,4,7] => 3
[6,7,2,1,5,4,3] => [1,6,4,2,7,3,5] => [2,5,7,4,1,3,6] => [1,3,6,2,5,7,4] => 3
[6,7,2,3,1,4,5] => [1,6,4,3,2,7,5] => [2,6,5,4,1,3,7] => [1,3,7,2,6,4,5] => 3
[6,7,2,3,4,5,1] => [1,6,5,4,3,2,7] => [2,7,6,5,4,3,1] => [1,2,7,3,4,5,6] => 2
[6,7,2,3,5,1,4] => [1,6,2,7,4,3,5] => [2,4,7,6,1,3,5] => [1,3,5,2,4,7,6] => 2
[6,7,2,3,5,4,1] => [1,6,4,3,2,7,5] => [2,6,5,4,1,3,7] => [1,3,7,2,6,4,5] => 3
[6,7,2,4,1,5,3] => [1,6,5,2,7,3,4] => [2,5,7,1,4,3,6] => [1,4,2,5,7,3,6] => 2
[6,7,2,4,3,5,1] => [1,6,5,3,2,7,4] => [2,6,5,1,4,3,7] => [1,4,2,6,3,7,5] => 2
[6,7,2,4,5,1,3] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,2,4,5,3,1] => [1,6,3,2,7,4,5] => [2,5,4,7,1,3,6] => [1,3,6,2,5,4,7] => 3
[6,7,2,5,1,3,4] => [1,6,3,2,7,4,5] => [2,5,4,7,1,3,6] => [1,3,6,2,5,4,7] => 3
[6,7,2,5,1,4,3] => [1,6,4,5,2,7,3] => [2,6,1,4,5,3,7] => [1,4,5,2,6,3,7] => 2
[6,7,2,5,3,4,1] => [1,6,4,5,3,2,7] => [2,7,6,4,5,3,1] => [1,2,7,3,4,5,6] => 2
[6,7,2,5,4,1,3] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,2,5,4,3,1] => [1,6,3,2,7,4,5] => [2,5,4,7,1,3,6] => [1,3,6,2,5,4,7] => 3
[6,7,3,1,5,2,4] => [1,6,2,7,4,3,5] => [2,4,7,6,1,3,5] => [1,3,5,2,4,7,6] => 2
[6,7,3,1,5,4,2] => [1,6,4,2,7,3,5] => [2,5,7,4,1,3,6] => [1,3,6,2,5,7,4] => 3
[6,7,3,2,5,1,4] => [1,6,2,7,4,3,5] => [2,4,7,6,1,3,5] => [1,3,5,2,4,7,6] => 2
[6,7,3,2,5,4,1] => [1,6,4,2,7,3,5] => [2,5,7,4,1,3,6] => [1,3,6,2,5,7,4] => 3
[6,7,3,4,1,5,2] => [1,6,5,2,7,3,4] => [2,5,7,1,4,3,6] => [1,4,2,5,7,3,6] => 2
[6,7,3,4,2,5,1] => [1,6,5,2,7,3,4] => [2,5,7,1,4,3,6] => [1,4,2,5,7,3,6] => 2
[6,7,3,4,5,1,2] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,3,4,5,2,1] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,3,5,1,4,2] => [1,6,4,5,2,7,3] => [2,6,1,4,5,3,7] => [1,4,5,2,6,3,7] => 2
[6,7,3,5,2,4,1] => [1,6,4,5,2,7,3] => [2,6,1,4,5,3,7] => [1,4,5,2,6,3,7] => 2
[6,7,3,5,4,1,2] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,3,5,4,2,1] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,4,1,2,3,5] => [1,6,3,4,2,7,5] => [2,6,4,5,1,3,7] => [1,3,7,2,6,4,5] => 3
[6,7,4,1,2,5,3] => [1,6,5,2,7,3,4] => [2,5,7,1,4,3,6] => [1,4,2,5,7,3,6] => 2
[6,7,4,1,3,5,2] => [1,6,5,3,4,2,7] => [2,7,5,6,4,3,1] => [1,2,7,3,4,5,6] => 2
[6,7,4,1,5,2,3] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,4,1,5,3,2] => [1,6,3,4,2,7,5] => [2,6,4,5,1,3,7] => [1,3,7,2,6,4,5] => 3
[6,7,4,2,1,3,5] => [1,6,3,4,2,7,5] => [2,6,4,5,1,3,7] => [1,3,7,2,6,4,5] => 3
[6,7,4,2,1,5,3] => [1,6,5,2,7,3,4] => [2,5,7,1,4,3,6] => [1,4,2,5,7,3,6] => 2
[6,7,4,2,3,5,1] => [1,6,5,3,4,2,7] => [2,7,5,6,4,3,1] => [1,2,7,3,4,5,6] => 2
[6,7,4,2,5,1,3] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,4,2,5,3,1] => [1,6,3,4,2,7,5] => [2,6,4,5,1,3,7] => [1,3,7,2,6,4,5] => 3
[6,7,4,3,1,5,2] => [1,6,5,2,7,3,4] => [2,5,7,1,4,3,6] => [1,4,2,5,7,3,6] => 2
[6,7,4,3,2,5,1] => [1,6,5,2,7,3,4] => [2,5,7,1,4,3,6] => [1,4,2,5,7,3,6] => 2
[6,7,4,3,5,1,2] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,4,3,5,2,1] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,4,5,1,2,3] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,4,5,1,3,2] => [1,6,3,4,5,2,7] => [2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => 2
[6,7,4,5,2,1,3] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,4,5,2,3,1] => [1,6,3,4,5,2,7] => [2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => 2
[6,7,4,5,3,1,2] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,4,5,3,2,1] => [1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 2
[6,7,5,1,2,4,3] => [1,6,4,2,7,3,5] => [2,5,7,4,1,3,6] => [1,3,6,2,5,7,4] => 3
[6,7,5,1,3,2,4] => [1,6,2,7,4,3,5] => [2,4,7,6,1,3,5] => [1,3,5,2,4,7,6] => 2
[6,7,5,1,3,4,2] => [1,6,4,2,7,3,5] => [2,5,7,4,1,3,6] => [1,3,6,2,5,7,4] => 3
[6,7,5,1,4,3,2] => [1,6,3,5,4,2,7] => [2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => 2
[6,7,5,2,1,4,3] => [1,6,4,2,7,3,5] => [2,5,7,4,1,3,6] => [1,3,6,2,5,7,4] => 3
[6,7,5,2,3,1,4] => [1,6,2,7,4,3,5] => [2,4,7,6,1,3,5] => [1,3,5,2,4,7,6] => 2
[6,7,5,2,3,4,1] => [1,6,4,2,7,3,5] => [2,5,7,4,1,3,6] => [1,3,6,2,5,7,4] => 3
[6,7,5,2,4,3,1] => [1,6,3,5,4,2,7] => [2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => 2
[6,7,5,3,1,2,4] => [1,6,2,7,4,3,5] => [2,4,7,6,1,3,5] => [1,3,5,2,4,7,6] => 2
[6,7,5,3,1,4,2] => [1,6,4,3,5,2,7] => [2,7,5,4,6,3,1] => [1,2,7,3,4,6,5] => 2
[6,7,5,3,2,1,4] => [1,6,2,7,4,3,5] => [2,4,7,6,1,3,5] => [1,3,5,2,4,7,6] => 2
[6,7,5,3,2,4,1] => [1,6,4,3,5,2,7] => [2,7,5,4,6,3,1] => [1,2,7,3,4,6,5] => 2
[7,1,2,3,4,6,5] => [1,7,5,4,3,2,6] => [2,7,6,5,4,1,3] => [1,3,2,7,4,5,6] => 2
[7,1,2,3,5,4,6] => [1,7,6,4,3,2,5] => [2,7,6,5,1,4,3] => [1,4,2,7,3,5,6] => 2
[7,1,2,3,5,6,4] => [1,7,4,3,2,5,6] => [2,6,5,4,7,1,3] => [1,3,2,6,4,7,5] => 2
[7,1,2,3,6,5,4] => [1,7,4,3,2,5,6] => [2,6,5,4,7,1,3] => [1,3,2,6,4,7,5] => 2
[7,1,2,4,3,6,5] => [1,7,5,3,2,4,6] => [2,6,5,7,4,1,3] => [1,3,2,6,4,5,7] => 2
[7,1,2,4,5,3,6] => [1,7,6,3,2,4,5] => [2,6,5,7,1,4,3] => [1,4,2,6,3,5,7] => 2
[7,1,2,4,5,6,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,1,2,4,6,3,5] => [1,7,5,6,3,2,4] => [2,7,6,1,4,5,3] => [1,4,5,2,7,3,6] => 2
[7,1,2,4,6,5,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,1,2,5,3,6,4] => [1,7,4,5,3,2,6] => [2,7,6,4,5,1,3] => [1,3,2,7,4,5,6] => 2
[7,1,2,5,4,3,6] => [1,7,6,3,2,4,5] => [2,6,5,7,1,4,3] => [1,4,2,6,3,5,7] => 2
[7,1,2,5,4,6,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,1,2,5,6,4,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,1,2,6,3,4,5] => [1,7,5,3,2,4,6] => [2,6,5,7,4,1,3] => [1,3,2,6,4,5,7] => 2
[7,1,3,2,4,6,5] => [1,7,5,4,2,3,6] => [2,6,7,5,4,1,3] => [1,3,2,6,7,4,5] => 2
[7,1,3,2,5,4,6] => [1,7,6,4,2,3,5] => [2,6,7,5,1,4,3] => [1,4,2,6,7,3,5] => 2
[7,1,3,2,5,6,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,1,3,2,6,5,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,1,3,4,2,6,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,1,3,4,5,2,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,1,3,4,5,6,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,1,3,4,6,2,5] => [1,7,5,6,2,3,4] => [2,6,7,1,4,5,3] => [1,4,5,2,6,7,3] => 2
[7,1,3,4,6,5,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,1,3,5,2,6,4] => [1,7,4,5,2,3,6] => [2,6,7,4,5,1,3] => [1,3,2,6,7,4,5] => 2
[7,1,3,5,4,2,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,1,3,5,4,6,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,1,3,5,6,2,4] => [1,7,4,5,6,2,3] => [2,7,1,4,5,6,3] => [1,4,5,6,2,7,3] => 2
[7,1,3,5,6,4,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,1,3,6,2,4,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,1,3,6,2,5,4] => [1,7,4,6,5,2,3] => [2,7,1,4,6,5,3] => [1,4,6,2,7,3,5] => 2
[7,1,4,2,3,6,5] => [1,7,5,3,4,2,6] => [2,7,5,6,4,1,3] => [1,3,2,7,4,5,6] => 2
[7,1,4,2,5,3,6] => [1,7,6,3,4,2,5] => [2,7,5,6,1,4,3] => [1,4,2,7,3,5,6] => 2
[7,1,4,2,5,6,3] => [1,7,3,4,2,5,6] => [2,6,4,5,7,1,3] => [1,3,2,6,4,5,7] => 2
[7,1,4,2,6,5,3] => [1,7,3,4,2,5,6] => [2,6,4,5,7,1,3] => [1,3,2,6,4,5,7] => 2
[7,1,4,3,2,6,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,1,4,3,5,2,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,1,4,3,5,6,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,1,4,3,6,2,5] => [1,7,5,6,2,3,4] => [2,6,7,1,4,5,3] => [1,4,5,2,6,7,3] => 2
[7,1,4,3,6,5,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,1,4,5,2,6,3] => [1,7,3,4,5,2,6] => [2,7,4,5,6,1,3] => [1,3,2,7,4,5,6] => 2
[7,1,4,5,3,2,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,1,4,5,3,6,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,1,4,5,6,2,3] => [1,7,3,4,5,6,2] => [2,1,4,5,6,7,3] => [1,4,5,6,7,2,3] => 2
[7,1,4,5,6,3,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,1,4,6,2,3,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,1,4,6,2,5,3] => [1,7,3,4,6,5,2] => [2,1,4,5,7,6,3] => [1,4,5,7,2,3,6] => 2
[7,1,5,2,3,4,6] => [1,7,6,4,2,3,5] => [2,6,7,5,1,4,3] => [1,4,2,6,7,3,5] => 2
[7,1,5,2,3,6,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,1,5,2,4,6,3] => [1,7,3,5,4,2,6] => [2,7,4,6,5,1,3] => [1,3,2,7,4,6,5] => 2
[7,1,5,2,6,3,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,1,5,3,2,6,4] => [1,7,4,3,5,2,6] => [2,7,5,4,6,1,3] => [1,3,2,7,4,6,5] => 2
[7,1,5,3,4,6,2] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,1,5,4,2,6,3] => [1,7,3,5,2,4,6] => [2,6,4,7,5,1,3] => [1,3,2,6,4,7,5] => 2
[7,1,5,4,3,6,2] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,1,5,6,2,4,3] => [1,7,3,5,2,4,6] => [2,6,4,7,5,1,3] => [1,3,2,6,4,7,5] => 2
[7,1,5,6,3,4,2] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,1,5,6,4,2,3] => [1,7,3,5,4,6,2] => [2,1,4,6,5,7,3] => [1,4,6,2,3,5,7] => 2
[7,1,5,6,4,3,2] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,1,6,2,4,3,5] => [1,7,5,4,2,3,6] => [2,6,7,5,4,1,3] => [1,3,2,6,7,4,5] => 2
[7,1,6,4,3,2,5] => [1,7,5,3,6,2,4] => [2,7,5,1,4,6,3] => [1,4,6,2,7,3,5] => 2
[7,1,6,5,2,3,4] => [1,7,4,5,2,3,6] => [2,6,7,4,5,1,3] => [1,3,2,6,7,4,5] => 2
[7,2,1,3,4,6,5] => [1,7,5,4,3,2,6] => [2,7,6,5,4,1,3] => [1,3,2,7,4,5,6] => 2
[7,2,1,3,5,4,6] => [1,7,6,4,3,2,5] => [2,7,6,5,1,4,3] => [1,4,2,7,3,5,6] => 2
[7,2,1,3,5,6,4] => [1,7,4,3,2,5,6] => [2,6,5,4,7,1,3] => [1,3,2,6,4,7,5] => 2
[7,2,1,3,6,5,4] => [1,7,4,3,2,5,6] => [2,6,5,4,7,1,3] => [1,3,2,6,4,7,5] => 2
[7,2,1,4,3,6,5] => [1,7,5,3,2,4,6] => [2,6,5,7,4,1,3] => [1,3,2,6,4,5,7] => 2
[7,2,1,4,5,3,6] => [1,7,6,3,2,4,5] => [2,6,5,7,1,4,3] => [1,4,2,6,3,5,7] => 2
[7,2,1,4,5,6,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,2,1,4,6,3,5] => [1,7,5,6,3,2,4] => [2,7,6,1,4,5,3] => [1,4,5,2,7,3,6] => 2
[7,2,1,4,6,5,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,2,1,5,3,6,4] => [1,7,4,5,3,2,6] => [2,7,6,4,5,1,3] => [1,3,2,7,4,5,6] => 2
[7,2,1,5,4,3,6] => [1,7,6,3,2,4,5] => [2,6,5,7,1,4,3] => [1,4,2,6,3,5,7] => 2
[7,2,1,5,4,6,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,2,1,5,6,4,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,2,1,6,3,4,5] => [1,7,5,3,2,4,6] => [2,6,5,7,4,1,3] => [1,3,2,6,4,5,7] => 2
[7,2,3,1,4,6,5] => [1,7,5,4,2,3,6] => [2,6,7,5,4,1,3] => [1,3,2,6,7,4,5] => 2
[7,2,3,1,5,4,6] => [1,7,6,4,2,3,5] => [2,6,7,5,1,4,3] => [1,4,2,6,7,3,5] => 2
[7,2,3,1,5,6,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,2,3,1,6,5,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,2,3,4,1,6,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,2,3,4,5,1,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,2,3,4,5,6,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,2,3,4,6,1,5] => [1,7,5,6,2,3,4] => [2,6,7,1,4,5,3] => [1,4,5,2,6,7,3] => 2
[7,2,3,4,6,5,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,2,3,5,1,6,4] => [1,7,4,5,2,3,6] => [2,6,7,4,5,1,3] => [1,3,2,6,7,4,5] => 2
[7,2,3,5,4,1,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,2,3,5,4,6,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,2,3,5,6,1,4] => [1,7,4,5,6,2,3] => [2,7,1,4,5,6,3] => [1,4,5,6,2,7,3] => 2
[7,2,3,5,6,4,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,2,3,6,1,4,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,2,3,6,1,5,4] => [1,7,4,6,5,2,3] => [2,7,1,4,6,5,3] => [1,4,6,2,7,3,5] => 2
[7,2,4,1,3,6,5] => [1,7,5,3,4,2,6] => [2,7,5,6,4,1,3] => [1,3,2,7,4,5,6] => 2
[7,2,4,1,5,3,6] => [1,7,6,3,4,2,5] => [2,7,5,6,1,4,3] => [1,4,2,7,3,5,6] => 2
[7,2,4,1,5,6,3] => [1,7,3,4,2,5,6] => [2,6,4,5,7,1,3] => [1,3,2,6,4,5,7] => 2
[7,2,4,1,6,5,3] => [1,7,3,4,2,5,6] => [2,6,4,5,7,1,3] => [1,3,2,6,4,5,7] => 2
[7,2,4,3,1,6,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,2,4,3,5,1,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,2,4,3,5,6,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,2,4,3,6,1,5] => [1,7,5,6,2,3,4] => [2,6,7,1,4,5,3] => [1,4,5,2,6,7,3] => 2
[7,2,4,3,6,5,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,2,4,5,1,6,3] => [1,7,3,4,5,2,6] => [2,7,4,5,6,1,3] => [1,3,2,7,4,5,6] => 2
[7,2,4,5,3,1,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,2,4,5,3,6,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,2,4,5,6,1,3] => [1,7,3,4,5,6,2] => [2,1,4,5,6,7,3] => [1,4,5,6,7,2,3] => 2
[7,2,4,5,6,3,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,2,4,6,1,3,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,2,4,6,1,5,3] => [1,7,3,4,6,5,2] => [2,1,4,5,7,6,3] => [1,4,5,7,2,3,6] => 2
[7,2,5,1,3,4,6] => [1,7,6,4,2,3,5] => [2,6,7,5,1,4,3] => [1,4,2,6,7,3,5] => 2
[7,2,5,1,3,6,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,2,5,1,4,6,3] => [1,7,3,5,4,2,6] => [2,7,4,6,5,1,3] => [1,3,2,7,4,6,5] => 2
[7,2,5,1,6,3,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,2,5,3,1,6,4] => [1,7,4,3,5,2,6] => [2,7,5,4,6,1,3] => [1,3,2,7,4,6,5] => 2
[7,2,5,3,4,6,1] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,2,5,4,1,6,3] => [1,7,3,5,2,4,6] => [2,6,4,7,5,1,3] => [1,3,2,6,4,7,5] => 2
[7,2,5,4,3,6,1] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,2,5,6,1,4,3] => [1,7,3,5,2,4,6] => [2,6,4,7,5,1,3] => [1,3,2,6,4,7,5] => 2
[7,2,5,6,3,4,1] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,2,5,6,4,1,3] => [1,7,3,5,4,6,2] => [2,1,4,6,5,7,3] => [1,4,6,2,3,5,7] => 2
[7,2,5,6,4,3,1] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,2,6,1,4,3,5] => [1,7,5,4,2,3,6] => [2,6,7,5,4,1,3] => [1,3,2,6,7,4,5] => 2
[7,2,6,4,3,1,5] => [1,7,5,3,6,2,4] => [2,7,5,1,4,6,3] => [1,4,6,2,7,3,5] => 2
[7,2,6,5,1,3,4] => [1,7,4,5,2,3,6] => [2,6,7,4,5,1,3] => [1,3,2,6,7,4,5] => 2
[7,3,1,2,4,6,5] => [1,7,5,4,2,3,6] => [2,6,7,5,4,1,3] => [1,3,2,6,7,4,5] => 2
[7,3,1,2,5,4,6] => [1,7,6,4,2,3,5] => [2,6,7,5,1,4,3] => [1,4,2,6,7,3,5] => 2
[7,3,1,2,5,6,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,3,1,2,6,5,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,3,1,4,2,6,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,3,1,4,5,2,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,3,1,4,5,6,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,1,4,6,2,5] => [1,7,5,6,2,3,4] => [2,6,7,1,4,5,3] => [1,4,5,2,6,7,3] => 2
[7,3,1,4,6,5,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,1,5,2,6,4] => [1,7,4,5,2,3,6] => [2,6,7,4,5,1,3] => [1,3,2,6,7,4,5] => 2
[7,3,1,5,4,2,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,3,1,5,4,6,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,1,5,6,2,4] => [1,7,4,5,6,2,3] => [2,7,1,4,5,6,3] => [1,4,5,6,2,7,3] => 2
[7,3,1,5,6,4,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,1,6,2,4,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,3,1,6,2,5,4] => [1,7,4,6,5,2,3] => [2,7,1,4,6,5,3] => [1,4,6,2,7,3,5] => 2
[7,3,2,1,4,6,5] => [1,7,5,4,2,3,6] => [2,6,7,5,4,1,3] => [1,3,2,6,7,4,5] => 2
[7,3,2,1,5,4,6] => [1,7,6,4,2,3,5] => [2,6,7,5,1,4,3] => [1,4,2,6,7,3,5] => 2
[7,3,2,1,5,6,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,3,2,1,6,5,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,3,2,4,1,6,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,3,2,4,5,1,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,3,2,4,5,6,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,2,4,6,1,5] => [1,7,5,6,2,3,4] => [2,6,7,1,4,5,3] => [1,4,5,2,6,7,3] => 2
[7,3,2,4,6,5,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,2,5,1,6,4] => [1,7,4,5,2,3,6] => [2,6,7,4,5,1,3] => [1,3,2,6,7,4,5] => 2
[7,3,2,5,4,1,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,3,2,5,4,6,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,2,5,6,1,4] => [1,7,4,5,6,2,3] => [2,7,1,4,5,6,3] => [1,4,5,6,2,7,3] => 2
[7,3,2,5,6,4,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,2,6,1,4,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,3,2,6,1,5,4] => [1,7,4,6,5,2,3] => [2,7,1,4,6,5,3] => [1,4,6,2,7,3,5] => 2
[7,3,4,1,2,6,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,3,4,1,5,2,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,3,4,1,5,6,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,4,1,6,2,5] => [1,7,5,6,2,3,4] => [2,6,7,1,4,5,3] => [1,4,5,2,6,7,3] => 2
[7,3,4,1,6,5,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,4,2,1,6,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,3,4,2,5,1,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,3,4,2,5,6,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,4,2,6,1,5] => [1,7,5,6,2,3,4] => [2,6,7,1,4,5,3] => [1,4,5,2,6,7,3] => 2
[7,3,4,2,6,5,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,4,5,1,2,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,3,4,5,1,6,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,4,5,2,1,6] => [1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 2
[7,3,4,5,2,6,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,4,5,6,1,2] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,4,5,6,2,1] => [1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 2
[7,3,4,6,1,2,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,3,4,6,2,1,5] => [1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 2
[7,3,5,1,2,4,6] => [1,7,6,4,2,3,5] => [2,6,7,5,1,4,3] => [1,4,2,6,7,3,5] => 2
[7,3,5,1,2,6,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,3,5,1,4,6,2] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,3,5,1,6,2,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,3,5,2,1,4,6] => [1,7,6,4,2,3,5] => [2,6,7,5,1,4,3] => [1,4,2,6,7,3,5] => 2
[7,3,5,2,1,6,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,3,5,2,4,6,1] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,3,5,2,6,1,4] => [1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 2
[7,3,5,4,1,6,2] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,3,5,4,2,6,1] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,3,5,6,1,4,2] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,3,5,6,2,4,1] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,3,5,6,4,1,2] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,3,5,6,4,2,1] => [1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 2
[7,3,6,1,4,2,5] => [1,7,5,4,2,3,6] => [2,6,7,5,4,1,3] => [1,3,2,6,7,4,5] => 2
[7,3,6,2,4,1,5] => [1,7,5,4,2,3,6] => [2,6,7,5,4,1,3] => [1,3,2,6,7,4,5] => 2
[7,3,6,5,1,2,4] => [1,7,4,5,2,3,6] => [2,6,7,4,5,1,3] => [1,3,2,6,7,4,5] => 2
[7,3,6,5,2,1,4] => [1,7,4,5,2,3,6] => [2,6,7,4,5,1,3] => [1,3,2,6,7,4,5] => 2
[7,4,1,2,3,6,5] => [1,7,5,3,2,4,6] => [2,6,5,7,4,1,3] => [1,3,2,6,4,5,7] => 2
[7,4,1,2,5,3,6] => [1,7,6,3,2,4,5] => [2,6,5,7,1,4,3] => [1,4,2,6,3,5,7] => 2
[7,4,1,2,5,6,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,4,1,2,6,3,5] => [1,7,5,6,3,2,4] => [2,7,6,1,4,5,3] => [1,4,5,2,7,3,6] => 2
[7,4,1,2,6,5,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,4,1,3,2,6,5] => [1,7,5,2,4,3,6] => [2,5,7,6,4,1,3] => [1,3,2,5,7,4,6] => 2
[7,4,1,3,5,2,6] => [1,7,6,2,4,3,5] => [2,5,7,6,1,4,3] => [1,4,2,5,7,3,6] => 2
[7,4,1,3,5,6,2] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,1,3,6,5,2] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,1,5,2,3,6] => [1,7,6,3,2,4,5] => [2,6,5,7,1,4,3] => [1,4,2,6,3,5,7] => 2
[7,4,1,5,2,6,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,4,1,5,3,6,2] => [1,7,2,4,5,3,6] => [2,4,7,5,6,1,3] => [1,3,2,4,7,5,6] => 2
[7,4,1,5,6,2,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,4,1,6,3,2,5] => [1,7,5,3,2,4,6] => [2,6,5,7,4,1,3] => [1,3,2,6,4,5,7] => 2
[7,4,2,1,3,6,5] => [1,7,5,3,2,4,6] => [2,6,5,7,4,1,3] => [1,3,2,6,4,5,7] => 2
[7,4,2,1,5,3,6] => [1,7,6,3,2,4,5] => [2,6,5,7,1,4,3] => [1,4,2,6,3,5,7] => 2
[7,4,2,1,5,6,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,4,2,1,6,3,5] => [1,7,5,6,3,2,4] => [2,7,6,1,4,5,3] => [1,4,5,2,7,3,6] => 2
[7,4,2,1,6,5,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,4,2,3,1,6,5] => [1,7,5,2,4,3,6] => [2,5,7,6,4,1,3] => [1,3,2,5,7,4,6] => 2
[7,4,2,3,5,1,6] => [1,7,6,2,4,3,5] => [2,5,7,6,1,4,3] => [1,4,2,5,7,3,6] => 2
[7,4,2,3,5,6,1] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,2,3,6,5,1] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,2,5,1,3,6] => [1,7,6,3,2,4,5] => [2,6,5,7,1,4,3] => [1,4,2,6,3,5,7] => 2
[7,4,2,5,1,6,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,4,2,5,3,6,1] => [1,7,2,4,5,3,6] => [2,4,7,5,6,1,3] => [1,3,2,4,7,5,6] => 2
[7,4,2,5,6,1,3] => [1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 2
[7,4,2,6,3,1,5] => [1,7,5,3,2,4,6] => [2,6,5,7,4,1,3] => [1,3,2,6,4,5,7] => 2
[7,4,3,1,2,6,5] => [1,7,5,2,4,3,6] => [2,5,7,6,4,1,3] => [1,3,2,5,7,4,6] => 2
[7,4,3,1,5,2,6] => [1,7,6,2,4,3,5] => [2,5,7,6,1,4,3] => [1,4,2,5,7,3,6] => 2
[7,4,3,1,5,6,2] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,3,1,6,5,2] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,3,2,1,6,5] => [1,7,5,2,4,3,6] => [2,5,7,6,4,1,3] => [1,3,2,5,7,4,6] => 2
[7,4,3,2,5,1,6] => [1,7,6,2,4,3,5] => [2,5,7,6,1,4,3] => [1,4,2,5,7,3,6] => 2
[7,4,3,2,5,6,1] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,3,2,6,5,1] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,3,5,1,6,2] => [1,7,2,4,5,3,6] => [2,4,7,5,6,1,3] => [1,3,2,4,7,5,6] => 2
[7,4,3,5,2,6,1] => [1,7,2,4,5,3,6] => [2,4,7,5,6,1,3] => [1,3,2,4,7,5,6] => 2
[7,4,5,1,2,6,3] => [1,7,3,5,2,4,6] => [2,6,4,7,5,1,3] => [1,3,2,6,4,7,5] => 2
[7,4,5,1,3,2,6] => [1,7,6,2,4,3,5] => [2,5,7,6,1,4,3] => [1,4,2,5,7,3,6] => 2
[7,4,5,1,3,6,2] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,5,1,6,3,2] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,5,2,1,6,3] => [1,7,3,5,2,4,6] => [2,6,4,7,5,1,3] => [1,3,2,6,4,7,5] => 2
[7,4,5,2,3,1,6] => [1,7,6,2,4,3,5] => [2,5,7,6,1,4,3] => [1,4,2,5,7,3,6] => 2
[7,4,5,2,3,6,1] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,5,2,6,3,1] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,5,3,1,2,6] => [1,7,6,2,4,3,5] => [2,5,7,6,1,4,3] => [1,4,2,5,7,3,6] => 2
[7,4,5,3,1,6,2] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,5,3,2,1,6] => [1,7,6,2,4,3,5] => [2,5,7,6,1,4,3] => [1,4,2,5,7,3,6] => 2
[7,4,5,3,2,6,1] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,5,3,6,1,2] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,5,3,6,2,1] => [1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 2
[7,4,5,6,1,2,3] => [1,7,3,5,2,4,6] => [2,6,4,7,5,1,3] => [1,3,2,6,4,7,5] => 2
[7,4,5,6,2,1,3] => [1,7,3,5,2,4,6] => [2,6,4,7,5,1,3] => [1,3,2,6,4,7,5] => 2
[7,4,6,1,2,3,5] => [1,7,5,2,4,3,6] => [2,5,7,6,4,1,3] => [1,3,2,5,7,4,6] => 2
[7,4,6,1,3,2,5] => [1,7,5,3,6,2,4] => [2,7,5,1,4,6,3] => [1,4,6,2,7,3,5] => 2
[7,4,6,2,1,3,5] => [1,7,5,2,4,3,6] => [2,5,7,6,4,1,3] => [1,3,2,5,7,4,6] => 2
[7,4,6,2,3,1,5] => [1,7,5,3,6,2,4] => [2,7,5,1,4,6,3] => [1,4,6,2,7,3,5] => 2
[7,4,6,3,1,2,5] => [1,7,5,2,4,3,6] => [2,5,7,6,4,1,3] => [1,3,2,5,7,4,6] => 2
[7,4,6,3,2,1,5] => [1,7,5,2,4,3,6] => [2,5,7,6,4,1,3] => [1,3,2,5,7,4,6] => 2
[7,4,6,5,1,3,2] => [1,7,2,4,5,3,6] => [2,4,7,5,6,1,3] => [1,3,2,4,7,5,6] => 2
[7,4,6,5,2,3,1] => [1,7,2,4,5,3,6] => [2,4,7,5,6,1,3] => [1,3,2,4,7,5,6] => 2
[7,4,6,5,3,1,2] => [1,7,2,4,5,3,6] => [2,4,7,5,6,1,3] => [1,3,2,4,7,5,6] => 2
[7,4,6,5,3,2,1] => [1,7,2,4,5,3,6] => [2,4,7,5,6,1,3] => [1,3,2,4,7,5,6] => 2
[7,5,1,2,3,6,4] => [1,7,4,2,5,3,6] => [2,5,7,4,6,1,3] => [1,3,2,5,7,4,6] => 2
[7,5,1,2,4,6,3] => [1,7,3,2,5,4,6] => [2,5,4,7,6,1,3] => [1,3,2,5,4,7,6] => 2
[7,5,1,3,2,4,6] => [1,7,6,4,3,2,5] => [2,7,6,5,1,4,3] => [1,4,2,7,3,5,6] => 2
[7,5,1,3,2,6,4] => [1,7,4,3,2,5,6] => [2,6,5,4,7,1,3] => [1,3,2,6,4,7,5] => 2
[7,5,1,3,4,6,2] => [1,7,2,5,4,3,6] => [2,4,7,6,5,1,3] => [1,3,2,4,7,5,6] => 2
[7,5,1,3,6,2,4] => [1,7,4,3,2,5,6] => [2,6,5,4,7,1,3] => [1,3,2,6,4,7,5] => 2
[7,5,1,4,2,6,3] => [1,7,3,2,5,4,6] => [2,5,4,7,6,1,3] => [1,3,2,5,4,7,6] => 2
[7,5,1,4,3,6,2] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,1,6,2,4,3] => [1,7,3,2,5,4,6] => [2,5,4,7,6,1,3] => [1,3,2,5,4,7,6] => 2
[7,5,1,6,3,4,2] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,1,6,4,2,3] => [1,7,3,2,5,4,6] => [2,5,4,7,6,1,3] => [1,3,2,5,4,7,6] => 2
[7,5,2,1,3,6,4] => [1,7,4,2,5,3,6] => [2,5,7,4,6,1,3] => [1,3,2,5,7,4,6] => 2
[7,5,2,1,4,6,3] => [1,7,3,2,5,4,6] => [2,5,4,7,6,1,3] => [1,3,2,5,4,7,6] => 2
[7,5,2,3,1,4,6] => [1,7,6,4,3,2,5] => [2,7,6,5,1,4,3] => [1,4,2,7,3,5,6] => 2
[7,5,2,3,1,6,4] => [1,7,4,3,2,5,6] => [2,6,5,4,7,1,3] => [1,3,2,6,4,7,5] => 2
[7,5,2,3,4,6,1] => [1,7,2,5,4,3,6] => [2,4,7,6,5,1,3] => [1,3,2,4,7,5,6] => 2
[7,5,2,3,6,1,4] => [1,7,4,3,2,5,6] => [2,6,5,4,7,1,3] => [1,3,2,6,4,7,5] => 2
[7,5,2,4,1,6,3] => [1,7,3,2,5,4,6] => [2,5,4,7,6,1,3] => [1,3,2,5,4,7,6] => 2
[7,5,2,4,3,6,1] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,2,6,1,4,3] => [1,7,3,2,5,4,6] => [2,5,4,7,6,1,3] => [1,3,2,5,4,7,6] => 2
[7,5,2,6,3,4,1] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,2,6,4,1,3] => [1,7,3,2,5,4,6] => [2,5,4,7,6,1,3] => [1,3,2,5,4,7,6] => 2
[7,5,3,1,2,6,4] => [1,7,4,2,5,3,6] => [2,5,7,4,6,1,3] => [1,3,2,5,7,4,6] => 2
[7,5,3,1,4,6,2] => [1,7,2,5,4,3,6] => [2,4,7,6,5,1,3] => [1,3,2,4,7,5,6] => 2
[7,5,3,2,1,6,4] => [1,7,4,2,5,3,6] => [2,5,7,4,6,1,3] => [1,3,2,5,7,4,6] => 2
[7,5,3,2,4,6,1] => [1,7,2,5,4,3,6] => [2,4,7,6,5,1,3] => [1,3,2,4,7,5,6] => 2
[7,5,3,4,1,6,2] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,3,4,2,6,1] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,3,6,1,4,2] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,3,6,2,4,1] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,4,1,2,3,6] => [1,7,6,3,4,2,5] => [2,7,5,6,1,4,3] => [1,4,2,7,3,5,6] => 2
[7,5,4,1,2,6,3] => [1,7,3,4,2,5,6] => [2,6,4,5,7,1,3] => [1,3,2,6,4,5,7] => 2
[7,5,4,1,3,6,2] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,4,1,6,2,3] => [1,7,3,4,2,5,6] => [2,6,4,5,7,1,3] => [1,3,2,6,4,5,7] => 2
[7,5,4,2,1,3,6] => [1,7,6,3,4,2,5] => [2,7,5,6,1,4,3] => [1,4,2,7,3,5,6] => 2
[7,5,4,2,1,6,3] => [1,7,3,4,2,5,6] => [2,6,4,5,7,1,3] => [1,3,2,6,4,5,7] => 2
[7,5,4,2,3,6,1] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,4,2,6,1,3] => [1,7,3,4,2,5,6] => [2,6,4,5,7,1,3] => [1,3,2,6,4,5,7] => 2
[7,5,4,3,1,6,2] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,4,3,2,6,1] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,4,6,1,3,2] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,4,6,2,3,1] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,4,6,3,1,2] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,4,6,3,2,1] => [1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 2
[7,5,6,1,2,3,4] => [1,7,4,2,5,3,6] => [2,5,7,4,6,1,3] => [1,3,2,5,7,4,6] => 2
[7,5,6,1,3,2,4] => [1,7,4,2,5,3,6] => [2,5,7,4,6,1,3] => [1,3,2,5,7,4,6] => 2
[7,5,6,1,4,3,2] => [1,7,2,5,4,3,6] => [2,4,7,6,5,1,3] => [1,3,2,4,7,5,6] => 2
[7,5,6,2,1,3,4] => [1,7,4,2,5,3,6] => [2,5,7,4,6,1,3] => [1,3,2,5,7,4,6] => 2
[7,5,6,2,3,1,4] => [1,7,4,2,5,3,6] => [2,5,7,4,6,1,3] => [1,3,2,5,7,4,6] => 2
[7,5,6,2,4,3,1] => [1,7,2,5,4,3,6] => [2,4,7,6,5,1,3] => [1,3,2,4,7,5,6] => 2
[7,5,6,3,4,1,2] => [1,7,2,5,4,3,6] => [2,4,7,6,5,1,3] => [1,3,2,4,7,5,6] => 2
[7,5,6,3,4,2,1] => [1,7,2,5,4,3,6] => [2,4,7,6,5,1,3] => [1,3,2,4,7,5,6] => 2
[7,6,1,3,4,2,5] => [1,7,5,4,3,2,6] => [2,7,6,5,4,1,3] => [1,3,2,7,4,5,6] => 2
[7,6,1,4,2,3,5] => [1,7,5,2,6,3,4] => [2,5,7,1,4,6,3] => [1,4,6,2,5,7,3] => 3
[7,6,1,5,2,3,4] => [1,7,4,5,2,6,3] => [2,6,1,4,5,7,3] => [1,4,5,7,2,6,3] => 3
[7,6,1,5,3,2,4] => [1,7,4,5,3,2,6] => [2,7,6,4,5,1,3] => [1,3,2,7,4,5,6] => 2
[7,6,2,3,4,1,5] => [1,7,5,4,3,2,6] => [2,7,6,5,4,1,3] => [1,3,2,7,4,5,6] => 2
[7,6,2,4,1,3,5] => [1,7,5,2,6,3,4] => [2,5,7,1,4,6,3] => [1,4,6,2,5,7,3] => 3
[7,6,2,5,1,3,4] => [1,7,4,5,2,6,3] => [2,6,1,4,5,7,3] => [1,4,5,7,2,6,3] => 3
[7,6,2,5,3,1,4] => [1,7,4,5,3,2,6] => [2,7,6,4,5,1,3] => [1,3,2,7,4,5,6] => 2
[7,6,3,4,1,2,5] => [1,7,5,2,6,3,4] => [2,5,7,1,4,6,3] => [1,4,6,2,5,7,3] => 3
[7,6,3,4,2,1,5] => [1,7,5,2,6,3,4] => [2,5,7,1,4,6,3] => [1,4,6,2,5,7,3] => 3
[7,6,3,5,1,2,4] => [1,7,4,5,2,6,3] => [2,6,1,4,5,7,3] => [1,4,5,7,2,6,3] => 3
[7,6,3,5,2,1,4] => [1,7,4,5,2,6,3] => [2,6,1,4,5,7,3] => [1,4,5,7,2,6,3] => 3
[7,6,4,1,2,3,5] => [1,7,5,2,6,3,4] => [2,5,7,1,4,6,3] => [1,4,6,2,5,7,3] => 3
[7,6,4,1,3,2,5] => [1,7,5,3,4,2,6] => [2,7,5,6,4,1,3] => [1,3,2,7,4,5,6] => 2
[7,6,4,2,1,3,5] => [1,7,5,2,6,3,4] => [2,5,7,1,4,6,3] => [1,4,6,2,5,7,3] => 3
[7,6,4,2,3,1,5] => [1,7,5,3,4,2,6] => [2,7,5,6,4,1,3] => [1,3,2,7,4,5,6] => 2
[7,6,4,3,1,2,5] => [1,7,5,2,6,3,4] => [2,5,7,1,4,6,3] => [1,4,6,2,5,7,3] => 3
[7,6,4,3,2,1,5] => [1,7,5,2,6,3,4] => [2,5,7,1,4,6,3] => [1,4,6,2,5,7,3] => 3
[7,6,4,5,1,2,3] => [1,7,3,4,5,2,6] => [2,7,4,5,6,1,3] => [1,3,2,7,4,5,6] => 2
[7,6,4,5,2,1,3] => [1,7,3,4,5,2,6] => [2,7,4,5,6,1,3] => [1,3,2,7,4,5,6] => 2
[7,6,5,1,4,2,3] => [1,7,3,5,4,2,6] => [2,7,4,6,5,1,3] => [1,3,2,7,4,6,5] => 2
[7,6,5,2,4,1,3] => [1,7,3,5,4,2,6] => [2,7,4,6,5,1,3] => [1,3,2,7,4,6,5] => 2
[7,6,5,3,1,2,4] => [1,7,4,3,5,2,6] => [2,7,5,4,6,1,3] => [1,3,2,7,4,6,5] => 2
[7,6,5,3,2,1,4] => [1,7,4,3,5,2,6] => [2,7,5,4,6,1,3] => [1,3,2,7,4,6,5] => 2
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
4,2 8,16 16,104 32,656,32
$F_{1} = q$
$F_{2} = 2\ q$
$F_{3} = 4\ q + 2\ q^{2}$
$F_{4} = 8\ q + 16\ q^{2}$
$F_{5} = 16\ q + 104\ q^{2}$
$F_{6} = 32\ q + 656\ q^{2} + 32\ q^{3}$
Description
The largest integer such that all patterns of this size are contained in 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.
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $\pi^{-1}c$ where $c = (1,\ldots,n)$ is the long cycle.
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!