Identifier
-
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
St000353: Permutations ⟶ ℤ (values match St000092The number of outer peaks of a permutation.)
Values
[1,2] => [1,2] => 0
[2,1] => [1,2] => 0
[1,2,3] => [1,2,3] => 0
[1,3,2] => [1,2,3] => 0
[2,1,3] => [1,2,3] => 0
[2,3,1] => [1,2,3] => 0
[3,1,2] => [1,3,2] => 0
[3,2,1] => [1,3,2] => 0
[1,2,3,4] => [1,2,3,4] => 0
[1,2,4,3] => [1,2,3,4] => 0
[1,3,2,4] => [1,2,3,4] => 0
[1,3,4,2] => [1,2,3,4] => 0
[1,4,2,3] => [1,2,4,3] => 0
[1,4,3,2] => [1,2,4,3] => 0
[2,1,3,4] => [1,2,3,4] => 0
[2,1,4,3] => [1,2,3,4] => 0
[2,3,1,4] => [1,2,3,4] => 0
[2,3,4,1] => [1,2,3,4] => 0
[2,4,1,3] => [1,2,4,3] => 0
[2,4,3,1] => [1,2,4,3] => 0
[3,1,2,4] => [1,3,2,4] => 1
[3,1,4,2] => [1,3,4,2] => 0
[3,2,1,4] => [1,3,2,4] => 1
[3,2,4,1] => [1,3,4,2] => 0
[3,4,1,2] => [1,3,2,4] => 1
[3,4,2,1] => [1,3,2,4] => 1
[4,1,2,3] => [1,4,3,2] => 0
[4,1,3,2] => [1,4,2,3] => 1
[4,2,1,3] => [1,4,3,2] => 0
[4,2,3,1] => [1,4,2,3] => 1
[4,3,1,2] => [1,4,2,3] => 1
[4,3,2,1] => [1,4,2,3] => 1
[1,2,3,4,5] => [1,2,3,4,5] => 0
[1,2,3,5,4] => [1,2,3,4,5] => 0
[1,2,4,3,5] => [1,2,3,4,5] => 0
[1,2,4,5,3] => [1,2,3,4,5] => 0
[1,2,5,3,4] => [1,2,3,5,4] => 0
[1,2,5,4,3] => [1,2,3,5,4] => 0
[1,3,2,4,5] => [1,2,3,4,5] => 0
[1,3,2,5,4] => [1,2,3,4,5] => 0
[1,3,4,2,5] => [1,2,3,4,5] => 0
[1,3,4,5,2] => [1,2,3,4,5] => 0
[1,3,5,2,4] => [1,2,3,5,4] => 0
[1,3,5,4,2] => [1,2,3,5,4] => 0
[1,4,2,3,5] => [1,2,4,3,5] => 1
[1,4,2,5,3] => [1,2,4,5,3] => 0
[1,4,3,2,5] => [1,2,4,3,5] => 1
[1,4,3,5,2] => [1,2,4,5,3] => 0
[1,4,5,2,3] => [1,2,4,3,5] => 1
[1,4,5,3,2] => [1,2,4,3,5] => 1
[1,5,2,3,4] => [1,2,5,4,3] => 0
[1,5,2,4,3] => [1,2,5,3,4] => 1
[1,5,3,2,4] => [1,2,5,4,3] => 0
[1,5,3,4,2] => [1,2,5,3,4] => 1
[1,5,4,2,3] => [1,2,5,3,4] => 1
[1,5,4,3,2] => [1,2,5,3,4] => 1
[2,1,3,4,5] => [1,2,3,4,5] => 0
[2,1,3,5,4] => [1,2,3,4,5] => 0
[2,1,4,3,5] => [1,2,3,4,5] => 0
[2,1,4,5,3] => [1,2,3,4,5] => 0
[2,1,5,3,4] => [1,2,3,5,4] => 0
[2,1,5,4,3] => [1,2,3,5,4] => 0
[2,3,1,4,5] => [1,2,3,4,5] => 0
[2,3,1,5,4] => [1,2,3,4,5] => 0
[2,3,4,1,5] => [1,2,3,4,5] => 0
[2,3,4,5,1] => [1,2,3,4,5] => 0
[2,3,5,1,4] => [1,2,3,5,4] => 0
[2,3,5,4,1] => [1,2,3,5,4] => 0
[2,4,1,3,5] => [1,2,4,3,5] => 1
[2,4,1,5,3] => [1,2,4,5,3] => 0
[2,4,3,1,5] => [1,2,4,3,5] => 1
[2,4,3,5,1] => [1,2,4,5,3] => 0
[2,4,5,1,3] => [1,2,4,3,5] => 1
[2,4,5,3,1] => [1,2,4,3,5] => 1
[2,5,1,3,4] => [1,2,5,4,3] => 0
[2,5,1,4,3] => [1,2,5,3,4] => 1
[2,5,3,1,4] => [1,2,5,4,3] => 0
[2,5,3,4,1] => [1,2,5,3,4] => 1
[2,5,4,1,3] => [1,2,5,3,4] => 1
[2,5,4,3,1] => [1,2,5,3,4] => 1
[3,1,2,4,5] => [1,3,2,4,5] => 1
[3,1,2,5,4] => [1,3,2,4,5] => 1
[3,1,4,2,5] => [1,3,4,2,5] => 1
[3,1,4,5,2] => [1,3,4,5,2] => 0
[3,1,5,2,4] => [1,3,5,4,2] => 0
[3,1,5,4,2] => [1,3,5,2,4] => 1
[3,2,1,4,5] => [1,3,2,4,5] => 1
[3,2,1,5,4] => [1,3,2,4,5] => 1
[3,2,4,1,5] => [1,3,4,2,5] => 1
[3,2,4,5,1] => [1,3,4,5,2] => 0
[3,2,5,1,4] => [1,3,5,4,2] => 0
[3,2,5,4,1] => [1,3,5,2,4] => 1
[3,4,1,2,5] => [1,3,2,4,5] => 1
[3,4,1,5,2] => [1,3,2,4,5] => 1
[3,4,2,1,5] => [1,3,2,4,5] => 1
[3,4,2,5,1] => [1,3,2,4,5] => 1
[3,4,5,1,2] => [1,3,5,2,4] => 1
[3,4,5,2,1] => [1,3,5,2,4] => 1
[3,5,1,2,4] => [1,3,2,5,4] => 1
[3,5,1,4,2] => [1,3,2,5,4] => 1
[3,5,2,1,4] => [1,3,2,5,4] => 1
>>> Load all 3602 entries. <<<[3,5,2,4,1] => [1,3,2,5,4] => 1
[3,5,4,1,2] => [1,3,4,2,5] => 1
[3,5,4,2,1] => [1,3,4,2,5] => 1
[4,1,2,3,5] => [1,4,3,2,5] => 1
[4,1,2,5,3] => [1,4,5,3,2] => 0
[4,1,3,2,5] => [1,4,2,3,5] => 1
[4,1,3,5,2] => [1,4,5,2,3] => 1
[4,1,5,2,3] => [1,4,2,3,5] => 1
[4,1,5,3,2] => [1,4,3,5,2] => 1
[4,2,1,3,5] => [1,4,3,2,5] => 1
[4,2,1,5,3] => [1,4,5,3,2] => 0
[4,2,3,1,5] => [1,4,2,3,5] => 1
[4,2,3,5,1] => [1,4,5,2,3] => 1
[4,2,5,1,3] => [1,4,2,3,5] => 1
[4,2,5,3,1] => [1,4,3,5,2] => 1
[4,3,1,2,5] => [1,4,2,3,5] => 1
[4,3,1,5,2] => [1,4,5,2,3] => 1
[4,3,2,1,5] => [1,4,2,3,5] => 1
[4,3,2,5,1] => [1,4,5,2,3] => 1
[4,3,5,1,2] => [1,4,2,3,5] => 1
[4,3,5,2,1] => [1,4,2,3,5] => 1
[4,5,1,2,3] => [1,4,2,5,3] => 1
[4,5,1,3,2] => [1,4,3,2,5] => 1
[4,5,2,1,3] => [1,4,2,5,3] => 1
[4,5,2,3,1] => [1,4,3,2,5] => 1
[4,5,3,1,2] => [1,4,2,5,3] => 1
[4,5,3,2,1] => [1,4,2,5,3] => 1
[5,1,2,3,4] => [1,5,4,3,2] => 0
[5,1,2,4,3] => [1,5,3,2,4] => 1
[5,1,3,2,4] => [1,5,4,2,3] => 1
[5,1,3,4,2] => [1,5,2,3,4] => 1
[5,1,4,2,3] => [1,5,3,4,2] => 1
[5,1,4,3,2] => [1,5,2,3,4] => 1
[5,2,1,3,4] => [1,5,4,3,2] => 0
[5,2,1,4,3] => [1,5,3,2,4] => 1
[5,2,3,1,4] => [1,5,4,2,3] => 1
[5,2,3,4,1] => [1,5,2,3,4] => 1
[5,2,4,1,3] => [1,5,3,4,2] => 1
[5,2,4,3,1] => [1,5,2,3,4] => 1
[5,3,1,2,4] => [1,5,4,2,3] => 1
[5,3,1,4,2] => [1,5,2,3,4] => 1
[5,3,2,1,4] => [1,5,4,2,3] => 1
[5,3,2,4,1] => [1,5,2,3,4] => 1
[5,3,4,1,2] => [1,5,2,3,4] => 1
[5,3,4,2,1] => [1,5,2,3,4] => 1
[5,4,1,2,3] => [1,5,3,2,4] => 1
[5,4,1,3,2] => [1,5,2,4,3] => 1
[5,4,2,1,3] => [1,5,3,2,4] => 1
[5,4,2,3,1] => [1,5,2,4,3] => 1
[5,4,3,1,2] => [1,5,2,4,3] => 1
[5,4,3,2,1] => [1,5,2,4,3] => 1
[1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[1,2,3,5,6,4] => [1,2,3,4,5,6] => 0
[1,2,3,6,4,5] => [1,2,3,4,6,5] => 0
[1,2,3,6,5,4] => [1,2,3,4,6,5] => 0
[1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,2,4,5,3,6] => [1,2,3,4,5,6] => 0
[1,2,4,5,6,3] => [1,2,3,4,5,6] => 0
[1,2,4,6,3,5] => [1,2,3,4,6,5] => 0
[1,2,4,6,5,3] => [1,2,3,4,6,5] => 0
[1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,2,5,3,6,4] => [1,2,3,5,6,4] => 0
[1,2,5,4,3,6] => [1,2,3,5,4,6] => 1
[1,2,5,4,6,3] => [1,2,3,5,6,4] => 0
[1,2,5,6,3,4] => [1,2,3,5,4,6] => 1
[1,2,5,6,4,3] => [1,2,3,5,4,6] => 1
[1,2,6,3,4,5] => [1,2,3,6,5,4] => 0
[1,2,6,3,5,4] => [1,2,3,6,4,5] => 1
[1,2,6,4,3,5] => [1,2,3,6,5,4] => 0
[1,2,6,4,5,3] => [1,2,3,6,4,5] => 1
[1,2,6,5,3,4] => [1,2,3,6,4,5] => 1
[1,2,6,5,4,3] => [1,2,3,6,4,5] => 1
[1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[1,3,2,5,4,6] => [1,2,3,4,5,6] => 0
[1,3,2,5,6,4] => [1,2,3,4,5,6] => 0
[1,3,2,6,4,5] => [1,2,3,4,6,5] => 0
[1,3,2,6,5,4] => [1,2,3,4,6,5] => 0
[1,3,4,2,5,6] => [1,2,3,4,5,6] => 0
[1,3,4,2,6,5] => [1,2,3,4,5,6] => 0
[1,3,4,5,2,6] => [1,2,3,4,5,6] => 0
[1,3,4,5,6,2] => [1,2,3,4,5,6] => 0
[1,3,4,6,2,5] => [1,2,3,4,6,5] => 0
[1,3,4,6,5,2] => [1,2,3,4,6,5] => 0
[1,3,5,2,4,6] => [1,2,3,5,4,6] => 1
[1,3,5,2,6,4] => [1,2,3,5,6,4] => 0
[1,3,5,4,2,6] => [1,2,3,5,4,6] => 1
[1,3,5,4,6,2] => [1,2,3,5,6,4] => 0
[1,3,5,6,2,4] => [1,2,3,5,4,6] => 1
[1,3,5,6,4,2] => [1,2,3,5,4,6] => 1
[1,3,6,2,4,5] => [1,2,3,6,5,4] => 0
[1,3,6,2,5,4] => [1,2,3,6,4,5] => 1
[1,3,6,4,2,5] => [1,2,3,6,5,4] => 0
[1,3,6,4,5,2] => [1,2,3,6,4,5] => 1
[1,3,6,5,2,4] => [1,2,3,6,4,5] => 1
[1,3,6,5,4,2] => [1,2,3,6,4,5] => 1
[1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[1,4,2,5,3,6] => [1,2,4,5,3,6] => 1
[1,4,2,5,6,3] => [1,2,4,5,6,3] => 0
[1,4,2,6,3,5] => [1,2,4,6,5,3] => 0
[1,4,2,6,5,3] => [1,2,4,6,3,5] => 1
[1,4,3,2,5,6] => [1,2,4,3,5,6] => 1
[1,4,3,2,6,5] => [1,2,4,3,5,6] => 1
[1,4,3,5,2,6] => [1,2,4,5,3,6] => 1
[1,4,3,5,6,2] => [1,2,4,5,6,3] => 0
[1,4,3,6,2,5] => [1,2,4,6,5,3] => 0
[1,4,3,6,5,2] => [1,2,4,6,3,5] => 1
[1,4,5,2,3,6] => [1,2,4,3,5,6] => 1
[1,4,5,2,6,3] => [1,2,4,3,5,6] => 1
[1,4,5,3,2,6] => [1,2,4,3,5,6] => 1
[1,4,5,3,6,2] => [1,2,4,3,5,6] => 1
[1,4,5,6,2,3] => [1,2,4,6,3,5] => 1
[1,4,5,6,3,2] => [1,2,4,6,3,5] => 1
[1,4,6,2,3,5] => [1,2,4,3,6,5] => 1
[1,4,6,2,5,3] => [1,2,4,3,6,5] => 1
[1,4,6,3,2,5] => [1,2,4,3,6,5] => 1
[1,4,6,3,5,2] => [1,2,4,3,6,5] => 1
[1,4,6,5,2,3] => [1,2,4,5,3,6] => 1
[1,4,6,5,3,2] => [1,2,4,5,3,6] => 1
[1,5,2,3,4,6] => [1,2,5,4,3,6] => 1
[1,5,2,3,6,4] => [1,2,5,6,4,3] => 0
[1,5,2,4,3,6] => [1,2,5,3,4,6] => 1
[1,5,2,4,6,3] => [1,2,5,6,3,4] => 1
[1,5,2,6,3,4] => [1,2,5,3,4,6] => 1
[1,5,2,6,4,3] => [1,2,5,4,6,3] => 1
[1,5,3,2,4,6] => [1,2,5,4,3,6] => 1
[1,5,3,2,6,4] => [1,2,5,6,4,3] => 0
[1,5,3,4,2,6] => [1,2,5,3,4,6] => 1
[1,5,3,4,6,2] => [1,2,5,6,3,4] => 1
[1,5,3,6,2,4] => [1,2,5,3,4,6] => 1
[1,5,3,6,4,2] => [1,2,5,4,6,3] => 1
[1,5,4,2,3,6] => [1,2,5,3,4,6] => 1
[1,5,4,2,6,3] => [1,2,5,6,3,4] => 1
[1,5,4,3,2,6] => [1,2,5,3,4,6] => 1
[1,5,4,3,6,2] => [1,2,5,6,3,4] => 1
[1,5,4,6,2,3] => [1,2,5,3,4,6] => 1
[1,5,4,6,3,2] => [1,2,5,3,4,6] => 1
[1,5,6,2,3,4] => [1,2,5,3,6,4] => 1
[1,5,6,2,4,3] => [1,2,5,4,3,6] => 1
[1,5,6,3,2,4] => [1,2,5,3,6,4] => 1
[1,5,6,3,4,2] => [1,2,5,4,3,6] => 1
[1,5,6,4,2,3] => [1,2,5,3,6,4] => 1
[1,5,6,4,3,2] => [1,2,5,3,6,4] => 1
[1,6,2,3,4,5] => [1,2,6,5,4,3] => 0
[1,6,2,3,5,4] => [1,2,6,4,3,5] => 1
[1,6,2,4,3,5] => [1,2,6,5,3,4] => 1
[1,6,2,4,5,3] => [1,2,6,3,4,5] => 1
[1,6,2,5,3,4] => [1,2,6,4,5,3] => 1
[1,6,2,5,4,3] => [1,2,6,3,4,5] => 1
[1,6,3,2,4,5] => [1,2,6,5,4,3] => 0
[1,6,3,2,5,4] => [1,2,6,4,3,5] => 1
[1,6,3,4,2,5] => [1,2,6,5,3,4] => 1
[1,6,3,4,5,2] => [1,2,6,3,4,5] => 1
[1,6,3,5,2,4] => [1,2,6,4,5,3] => 1
[1,6,3,5,4,2] => [1,2,6,3,4,5] => 1
[1,6,4,2,3,5] => [1,2,6,5,3,4] => 1
[1,6,4,2,5,3] => [1,2,6,3,4,5] => 1
[1,6,4,3,2,5] => [1,2,6,5,3,4] => 1
[1,6,4,3,5,2] => [1,2,6,3,4,5] => 1
[1,6,4,5,2,3] => [1,2,6,3,4,5] => 1
[1,6,4,5,3,2] => [1,2,6,3,4,5] => 1
[1,6,5,2,3,4] => [1,2,6,4,3,5] => 1
[1,6,5,2,4,3] => [1,2,6,3,5,4] => 1
[1,6,5,3,2,4] => [1,2,6,4,3,5] => 1
[1,6,5,3,4,2] => [1,2,6,3,5,4] => 1
[1,6,5,4,2,3] => [1,2,6,3,5,4] => 1
[1,6,5,4,3,2] => [1,2,6,3,5,4] => 1
[2,1,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,1,3,4,6,5] => [1,2,3,4,5,6] => 0
[2,1,3,5,4,6] => [1,2,3,4,5,6] => 0
[2,1,3,5,6,4] => [1,2,3,4,5,6] => 0
[2,1,3,6,4,5] => [1,2,3,4,6,5] => 0
[2,1,3,6,5,4] => [1,2,3,4,6,5] => 0
[2,1,4,3,5,6] => [1,2,3,4,5,6] => 0
[2,1,4,3,6,5] => [1,2,3,4,5,6] => 0
[2,1,4,5,3,6] => [1,2,3,4,5,6] => 0
[2,1,4,5,6,3] => [1,2,3,4,5,6] => 0
[2,1,4,6,3,5] => [1,2,3,4,6,5] => 0
[2,1,4,6,5,3] => [1,2,3,4,6,5] => 0
[2,1,5,3,4,6] => [1,2,3,5,4,6] => 1
[2,1,5,3,6,4] => [1,2,3,5,6,4] => 0
[2,1,5,4,3,6] => [1,2,3,5,4,6] => 1
[2,1,5,4,6,3] => [1,2,3,5,6,4] => 0
[2,1,5,6,3,4] => [1,2,3,5,4,6] => 1
[2,1,5,6,4,3] => [1,2,3,5,4,6] => 1
[2,1,6,3,4,5] => [1,2,3,6,5,4] => 0
[2,1,6,3,5,4] => [1,2,3,6,4,5] => 1
[2,1,6,4,3,5] => [1,2,3,6,5,4] => 0
[2,1,6,4,5,3] => [1,2,3,6,4,5] => 1
[2,1,6,5,3,4] => [1,2,3,6,4,5] => 1
[2,1,6,5,4,3] => [1,2,3,6,4,5] => 1
[2,3,1,4,5,6] => [1,2,3,4,5,6] => 0
[2,3,1,4,6,5] => [1,2,3,4,5,6] => 0
[2,3,1,5,4,6] => [1,2,3,4,5,6] => 0
[2,3,1,5,6,4] => [1,2,3,4,5,6] => 0
[2,3,1,6,4,5] => [1,2,3,4,6,5] => 0
[2,3,1,6,5,4] => [1,2,3,4,6,5] => 0
[2,3,4,1,5,6] => [1,2,3,4,5,6] => 0
[2,3,4,1,6,5] => [1,2,3,4,5,6] => 0
[2,3,4,5,1,6] => [1,2,3,4,5,6] => 0
[2,3,4,5,6,1] => [1,2,3,4,5,6] => 0
[2,3,4,6,1,5] => [1,2,3,4,6,5] => 0
[2,3,4,6,5,1] => [1,2,3,4,6,5] => 0
[2,3,5,1,4,6] => [1,2,3,5,4,6] => 1
[2,3,5,1,6,4] => [1,2,3,5,6,4] => 0
[2,3,5,4,1,6] => [1,2,3,5,4,6] => 1
[2,3,5,4,6,1] => [1,2,3,5,6,4] => 0
[2,3,5,6,1,4] => [1,2,3,5,4,6] => 1
[2,3,5,6,4,1] => [1,2,3,5,4,6] => 1
[2,3,6,1,4,5] => [1,2,3,6,5,4] => 0
[2,3,6,1,5,4] => [1,2,3,6,4,5] => 1
[2,3,6,4,1,5] => [1,2,3,6,5,4] => 0
[2,3,6,4,5,1] => [1,2,3,6,4,5] => 1
[2,3,6,5,1,4] => [1,2,3,6,4,5] => 1
[2,3,6,5,4,1] => [1,2,3,6,4,5] => 1
[2,4,1,3,5,6] => [1,2,4,3,5,6] => 1
[2,4,1,3,6,5] => [1,2,4,3,5,6] => 1
[2,4,1,5,3,6] => [1,2,4,5,3,6] => 1
[2,4,1,5,6,3] => [1,2,4,5,6,3] => 0
[2,4,1,6,3,5] => [1,2,4,6,5,3] => 0
[2,4,1,6,5,3] => [1,2,4,6,3,5] => 1
[2,4,3,1,5,6] => [1,2,4,3,5,6] => 1
[2,4,3,1,6,5] => [1,2,4,3,5,6] => 1
[2,4,3,5,1,6] => [1,2,4,5,3,6] => 1
[2,4,3,5,6,1] => [1,2,4,5,6,3] => 0
[2,4,3,6,1,5] => [1,2,4,6,5,3] => 0
[2,4,3,6,5,1] => [1,2,4,6,3,5] => 1
[2,4,5,1,3,6] => [1,2,4,3,5,6] => 1
[2,4,5,1,6,3] => [1,2,4,3,5,6] => 1
[2,4,5,3,1,6] => [1,2,4,3,5,6] => 1
[2,4,5,3,6,1] => [1,2,4,3,5,6] => 1
[2,4,5,6,1,3] => [1,2,4,6,3,5] => 1
[2,4,5,6,3,1] => [1,2,4,6,3,5] => 1
[2,4,6,1,3,5] => [1,2,4,3,6,5] => 1
[2,4,6,1,5,3] => [1,2,4,3,6,5] => 1
[2,4,6,3,1,5] => [1,2,4,3,6,5] => 1
[2,4,6,3,5,1] => [1,2,4,3,6,5] => 1
[2,4,6,5,1,3] => [1,2,4,5,3,6] => 1
[2,4,6,5,3,1] => [1,2,4,5,3,6] => 1
[2,5,1,3,4,6] => [1,2,5,4,3,6] => 1
[2,5,1,3,6,4] => [1,2,5,6,4,3] => 0
[2,5,1,4,3,6] => [1,2,5,3,4,6] => 1
[2,5,1,4,6,3] => [1,2,5,6,3,4] => 1
[2,5,1,6,3,4] => [1,2,5,3,4,6] => 1
[2,5,1,6,4,3] => [1,2,5,4,6,3] => 1
[2,5,3,1,4,6] => [1,2,5,4,3,6] => 1
[2,5,3,1,6,4] => [1,2,5,6,4,3] => 0
[2,5,3,4,1,6] => [1,2,5,3,4,6] => 1
[2,5,3,4,6,1] => [1,2,5,6,3,4] => 1
[2,5,3,6,1,4] => [1,2,5,3,4,6] => 1
[2,5,3,6,4,1] => [1,2,5,4,6,3] => 1
[2,5,4,1,3,6] => [1,2,5,3,4,6] => 1
[2,5,4,1,6,3] => [1,2,5,6,3,4] => 1
[2,5,4,3,1,6] => [1,2,5,3,4,6] => 1
[2,5,4,3,6,1] => [1,2,5,6,3,4] => 1
[2,5,4,6,1,3] => [1,2,5,3,4,6] => 1
[2,5,4,6,3,1] => [1,2,5,3,4,6] => 1
[2,5,6,1,3,4] => [1,2,5,3,6,4] => 1
[2,5,6,1,4,3] => [1,2,5,4,3,6] => 1
[2,5,6,3,1,4] => [1,2,5,3,6,4] => 1
[2,5,6,3,4,1] => [1,2,5,4,3,6] => 1
[2,5,6,4,1,3] => [1,2,5,3,6,4] => 1
[2,5,6,4,3,1] => [1,2,5,3,6,4] => 1
[2,6,1,3,4,5] => [1,2,6,5,4,3] => 0
[2,6,1,3,5,4] => [1,2,6,4,3,5] => 1
[2,6,1,4,3,5] => [1,2,6,5,3,4] => 1
[2,6,1,4,5,3] => [1,2,6,3,4,5] => 1
[2,6,1,5,3,4] => [1,2,6,4,5,3] => 1
[2,6,1,5,4,3] => [1,2,6,3,4,5] => 1
[2,6,3,1,4,5] => [1,2,6,5,4,3] => 0
[2,6,3,1,5,4] => [1,2,6,4,3,5] => 1
[2,6,3,4,1,5] => [1,2,6,5,3,4] => 1
[2,6,3,4,5,1] => [1,2,6,3,4,5] => 1
[2,6,3,5,1,4] => [1,2,6,4,5,3] => 1
[2,6,3,5,4,1] => [1,2,6,3,4,5] => 1
[2,6,4,1,3,5] => [1,2,6,5,3,4] => 1
[2,6,4,1,5,3] => [1,2,6,3,4,5] => 1
[2,6,4,3,1,5] => [1,2,6,5,3,4] => 1
[2,6,4,3,5,1] => [1,2,6,3,4,5] => 1
[2,6,4,5,1,3] => [1,2,6,3,4,5] => 1
[2,6,4,5,3,1] => [1,2,6,3,4,5] => 1
[2,6,5,1,3,4] => [1,2,6,4,3,5] => 1
[2,6,5,1,4,3] => [1,2,6,3,5,4] => 1
[2,6,5,3,1,4] => [1,2,6,4,3,5] => 1
[2,6,5,3,4,1] => [1,2,6,3,5,4] => 1
[2,6,5,4,1,3] => [1,2,6,3,5,4] => 1
[2,6,5,4,3,1] => [1,2,6,3,5,4] => 1
[3,1,2,4,5,6] => [1,3,2,4,5,6] => 1
[3,1,2,4,6,5] => [1,3,2,4,5,6] => 1
[3,1,2,5,4,6] => [1,3,2,4,5,6] => 1
[3,1,2,5,6,4] => [1,3,2,4,5,6] => 1
[3,1,2,6,4,5] => [1,3,2,4,6,5] => 1
[3,1,2,6,5,4] => [1,3,2,4,6,5] => 1
[3,1,4,2,5,6] => [1,3,4,2,5,6] => 1
[3,1,4,2,6,5] => [1,3,4,2,5,6] => 1
[3,1,4,5,2,6] => [1,3,4,5,2,6] => 1
[3,1,4,5,6,2] => [1,3,4,5,6,2] => 0
[3,1,4,6,2,5] => [1,3,4,6,5,2] => 0
[3,1,4,6,5,2] => [1,3,4,6,2,5] => 1
[3,1,5,2,4,6] => [1,3,5,4,2,6] => 1
[3,1,5,2,6,4] => [1,3,5,6,4,2] => 0
[3,1,5,4,2,6] => [1,3,5,2,4,6] => 1
[3,1,5,4,6,2] => [1,3,5,6,2,4] => 1
[3,1,5,6,2,4] => [1,3,5,2,4,6] => 1
[3,1,5,6,4,2] => [1,3,5,4,6,2] => 1
[3,1,6,2,4,5] => [1,3,6,5,4,2] => 0
[3,1,6,2,5,4] => [1,3,6,4,2,5] => 1
[3,1,6,4,2,5] => [1,3,6,5,2,4] => 1
[3,1,6,4,5,2] => [1,3,6,2,4,5] => 1
[3,1,6,5,2,4] => [1,3,6,4,5,2] => 1
[3,1,6,5,4,2] => [1,3,6,2,4,5] => 1
[3,2,1,4,5,6] => [1,3,2,4,5,6] => 1
[3,2,1,4,6,5] => [1,3,2,4,5,6] => 1
[3,2,1,5,4,6] => [1,3,2,4,5,6] => 1
[3,2,1,5,6,4] => [1,3,2,4,5,6] => 1
[3,2,1,6,4,5] => [1,3,2,4,6,5] => 1
[3,2,1,6,5,4] => [1,3,2,4,6,5] => 1
[3,2,4,1,5,6] => [1,3,4,2,5,6] => 1
[3,2,4,1,6,5] => [1,3,4,2,5,6] => 1
[3,2,4,5,1,6] => [1,3,4,5,2,6] => 1
[3,2,4,5,6,1] => [1,3,4,5,6,2] => 0
[3,2,4,6,1,5] => [1,3,4,6,5,2] => 0
[3,2,4,6,5,1] => [1,3,4,6,2,5] => 1
[3,2,5,1,4,6] => [1,3,5,4,2,6] => 1
[3,2,5,1,6,4] => [1,3,5,6,4,2] => 0
[3,2,5,4,1,6] => [1,3,5,2,4,6] => 1
[3,2,5,4,6,1] => [1,3,5,6,2,4] => 1
[3,2,5,6,1,4] => [1,3,5,2,4,6] => 1
[3,2,5,6,4,1] => [1,3,5,4,6,2] => 1
[3,2,6,1,4,5] => [1,3,6,5,4,2] => 0
[3,2,6,1,5,4] => [1,3,6,4,2,5] => 1
[3,2,6,4,1,5] => [1,3,6,5,2,4] => 1
[3,2,6,4,5,1] => [1,3,6,2,4,5] => 1
[3,2,6,5,1,4] => [1,3,6,4,5,2] => 1
[3,2,6,5,4,1] => [1,3,6,2,4,5] => 1
[3,4,1,2,5,6] => [1,3,2,4,5,6] => 1
[3,4,1,2,6,5] => [1,3,2,4,5,6] => 1
[3,4,1,5,2,6] => [1,3,2,4,5,6] => 1
[3,4,1,5,6,2] => [1,3,2,4,5,6] => 1
[3,4,1,6,2,5] => [1,3,2,4,6,5] => 1
[3,4,1,6,5,2] => [1,3,2,4,6,5] => 1
[3,4,2,1,5,6] => [1,3,2,4,5,6] => 1
[3,4,2,1,6,5] => [1,3,2,4,5,6] => 1
[3,4,2,5,1,6] => [1,3,2,4,5,6] => 1
[3,4,2,5,6,1] => [1,3,2,4,5,6] => 1
[3,4,2,6,1,5] => [1,3,2,4,6,5] => 1
[3,4,2,6,5,1] => [1,3,2,4,6,5] => 1
[3,4,5,1,2,6] => [1,3,5,2,4,6] => 1
[3,4,5,1,6,2] => [1,3,5,6,2,4] => 1
[3,4,5,2,1,6] => [1,3,5,2,4,6] => 1
[3,4,5,2,6,1] => [1,3,5,6,2,4] => 1
[3,4,5,6,1,2] => [1,3,5,2,4,6] => 1
[3,4,5,6,2,1] => [1,3,5,2,4,6] => 1
[3,4,6,1,2,5] => [1,3,6,5,2,4] => 1
[3,4,6,1,5,2] => [1,3,6,2,4,5] => 1
[3,4,6,2,1,5] => [1,3,6,5,2,4] => 1
[3,4,6,2,5,1] => [1,3,6,2,4,5] => 1
[3,4,6,5,1,2] => [1,3,6,2,4,5] => 1
[3,4,6,5,2,1] => [1,3,6,2,4,5] => 1
[3,5,1,2,4,6] => [1,3,2,5,4,6] => 2
[3,5,1,2,6,4] => [1,3,2,5,6,4] => 1
[3,5,1,4,2,6] => [1,3,2,5,4,6] => 2
[3,5,1,4,6,2] => [1,3,2,5,6,4] => 1
[3,5,1,6,2,4] => [1,3,2,5,4,6] => 2
[3,5,1,6,4,2] => [1,3,2,5,4,6] => 2
[3,5,2,1,4,6] => [1,3,2,5,4,6] => 2
[3,5,2,1,6,4] => [1,3,2,5,6,4] => 1
[3,5,2,4,1,6] => [1,3,2,5,4,6] => 2
[3,5,2,4,6,1] => [1,3,2,5,6,4] => 1
[3,5,2,6,1,4] => [1,3,2,5,4,6] => 2
[3,5,2,6,4,1] => [1,3,2,5,4,6] => 2
[3,5,4,1,2,6] => [1,3,4,2,5,6] => 1
[3,5,4,1,6,2] => [1,3,4,2,5,6] => 1
[3,5,4,2,1,6] => [1,3,4,2,5,6] => 1
[3,5,4,2,6,1] => [1,3,4,2,5,6] => 1
[3,5,4,6,1,2] => [1,3,4,6,2,5] => 1
[3,5,4,6,2,1] => [1,3,4,6,2,5] => 1
[3,5,6,1,2,4] => [1,3,6,4,2,5] => 1
[3,5,6,1,4,2] => [1,3,6,2,5,4] => 1
[3,5,6,2,1,4] => [1,3,6,4,2,5] => 1
[3,5,6,2,4,1] => [1,3,6,2,5,4] => 1
[3,5,6,4,1,2] => [1,3,6,2,5,4] => 1
[3,5,6,4,2,1] => [1,3,6,2,5,4] => 1
[3,6,1,2,4,5] => [1,3,2,6,5,4] => 1
[3,6,1,2,5,4] => [1,3,2,6,4,5] => 2
[3,6,1,4,2,5] => [1,3,2,6,5,4] => 1
[3,6,1,4,5,2] => [1,3,2,6,4,5] => 2
[3,6,1,5,2,4] => [1,3,2,6,4,5] => 2
[3,6,1,5,4,2] => [1,3,2,6,4,5] => 2
[3,6,2,1,4,5] => [1,3,2,6,5,4] => 1
[3,6,2,1,5,4] => [1,3,2,6,4,5] => 2
[3,6,2,4,1,5] => [1,3,2,6,5,4] => 1
[3,6,2,4,5,1] => [1,3,2,6,4,5] => 2
[3,6,2,5,1,4] => [1,3,2,6,4,5] => 2
[3,6,2,5,4,1] => [1,3,2,6,4,5] => 2
[3,6,4,1,2,5] => [1,3,4,2,6,5] => 1
[3,6,4,1,5,2] => [1,3,4,2,6,5] => 1
[3,6,4,2,1,5] => [1,3,4,2,6,5] => 1
[3,6,4,2,5,1] => [1,3,4,2,6,5] => 1
[3,6,4,5,1,2] => [1,3,4,5,2,6] => 1
[3,6,4,5,2,1] => [1,3,4,5,2,6] => 1
[3,6,5,1,2,4] => [1,3,5,2,6,4] => 1
[3,6,5,1,4,2] => [1,3,5,4,2,6] => 1
[3,6,5,2,1,4] => [1,3,5,2,6,4] => 1
[3,6,5,2,4,1] => [1,3,5,4,2,6] => 1
[3,6,5,4,1,2] => [1,3,5,2,6,4] => 1
[3,6,5,4,2,1] => [1,3,5,2,6,4] => 1
[4,1,2,3,5,6] => [1,4,3,2,5,6] => 1
[4,1,2,3,6,5] => [1,4,3,2,5,6] => 1
[4,1,2,5,3,6] => [1,4,5,3,2,6] => 1
[4,1,2,5,6,3] => [1,4,5,6,3,2] => 0
[4,1,2,6,3,5] => [1,4,6,5,3,2] => 0
[4,1,2,6,5,3] => [1,4,6,3,2,5] => 1
[4,1,3,2,5,6] => [1,4,2,3,5,6] => 1
[4,1,3,2,6,5] => [1,4,2,3,5,6] => 1
[4,1,3,5,2,6] => [1,4,5,2,3,6] => 1
[4,1,3,5,6,2] => [1,4,5,6,2,3] => 1
[4,1,3,6,2,5] => [1,4,6,5,2,3] => 1
[4,1,3,6,5,2] => [1,4,6,2,3,5] => 1
[4,1,5,2,3,6] => [1,4,2,3,5,6] => 1
[4,1,5,2,6,3] => [1,4,2,3,5,6] => 1
[4,1,5,3,2,6] => [1,4,3,5,2,6] => 2
[4,1,5,3,6,2] => [1,4,3,5,6,2] => 1
[4,1,5,6,2,3] => [1,4,6,3,5,2] => 1
[4,1,5,6,3,2] => [1,4,6,2,3,5] => 1
[4,1,6,2,3,5] => [1,4,2,3,6,5] => 1
[4,1,6,2,5,3] => [1,4,2,3,6,5] => 1
[4,1,6,3,2,5] => [1,4,3,6,5,2] => 1
[4,1,6,3,5,2] => [1,4,3,6,2,5] => 2
[4,1,6,5,2,3] => [1,4,5,2,3,6] => 1
[4,1,6,5,3,2] => [1,4,5,3,6,2] => 1
[4,2,1,3,5,6] => [1,4,3,2,5,6] => 1
[4,2,1,3,6,5] => [1,4,3,2,5,6] => 1
[4,2,1,5,3,6] => [1,4,5,3,2,6] => 1
[4,2,1,5,6,3] => [1,4,5,6,3,2] => 0
[4,2,1,6,3,5] => [1,4,6,5,3,2] => 0
[4,2,1,6,5,3] => [1,4,6,3,2,5] => 1
[4,2,3,1,5,6] => [1,4,2,3,5,6] => 1
[4,2,3,1,6,5] => [1,4,2,3,5,6] => 1
[4,2,3,5,1,6] => [1,4,5,2,3,6] => 1
[4,2,3,5,6,1] => [1,4,5,6,2,3] => 1
[4,2,3,6,1,5] => [1,4,6,5,2,3] => 1
[4,2,3,6,5,1] => [1,4,6,2,3,5] => 1
[4,2,5,1,3,6] => [1,4,2,3,5,6] => 1
[4,2,5,1,6,3] => [1,4,2,3,5,6] => 1
[4,2,5,3,1,6] => [1,4,3,5,2,6] => 2
[4,2,5,3,6,1] => [1,4,3,5,6,2] => 1
[4,2,5,6,1,3] => [1,4,6,3,5,2] => 1
[4,2,5,6,3,1] => [1,4,6,2,3,5] => 1
[4,2,6,1,3,5] => [1,4,2,3,6,5] => 1
[4,2,6,1,5,3] => [1,4,2,3,6,5] => 1
[4,2,6,3,1,5] => [1,4,3,6,5,2] => 1
[4,2,6,3,5,1] => [1,4,3,6,2,5] => 2
[4,2,6,5,1,3] => [1,4,5,2,3,6] => 1
[4,2,6,5,3,1] => [1,4,5,3,6,2] => 1
[4,3,1,2,5,6] => [1,4,2,3,5,6] => 1
[4,3,1,2,6,5] => [1,4,2,3,5,6] => 1
[4,3,1,5,2,6] => [1,4,5,2,3,6] => 1
[4,3,1,5,6,2] => [1,4,5,6,2,3] => 1
[4,3,1,6,2,5] => [1,4,6,5,2,3] => 1
[4,3,1,6,5,2] => [1,4,6,2,3,5] => 1
[4,3,2,1,5,6] => [1,4,2,3,5,6] => 1
[4,3,2,1,6,5] => [1,4,2,3,5,6] => 1
[4,3,2,5,1,6] => [1,4,5,2,3,6] => 1
[4,3,2,5,6,1] => [1,4,5,6,2,3] => 1
[4,3,2,6,1,5] => [1,4,6,5,2,3] => 1
[4,3,2,6,5,1] => [1,4,6,2,3,5] => 1
[4,3,5,1,2,6] => [1,4,2,3,5,6] => 1
[4,3,5,1,6,2] => [1,4,2,3,5,6] => 1
[4,3,5,2,1,6] => [1,4,2,3,5,6] => 1
[4,3,5,2,6,1] => [1,4,2,3,5,6] => 1
[4,3,5,6,1,2] => [1,4,6,2,3,5] => 1
[4,3,5,6,2,1] => [1,4,6,2,3,5] => 1
[4,3,6,1,2,5] => [1,4,2,3,6,5] => 1
[4,3,6,1,5,2] => [1,4,2,3,6,5] => 1
[4,3,6,2,1,5] => [1,4,2,3,6,5] => 1
[4,3,6,2,5,1] => [1,4,2,3,6,5] => 1
[4,3,6,5,1,2] => [1,4,5,2,3,6] => 1
[4,3,6,5,2,1] => [1,4,5,2,3,6] => 1
[4,5,1,2,3,6] => [1,4,2,5,3,6] => 2
[4,5,1,2,6,3] => [1,4,2,5,6,3] => 1
[4,5,1,3,2,6] => [1,4,3,2,5,6] => 1
[4,5,1,3,6,2] => [1,4,3,2,5,6] => 1
[4,5,1,6,2,3] => [1,4,6,3,2,5] => 1
[4,5,1,6,3,2] => [1,4,6,2,5,3] => 1
[4,5,2,1,3,6] => [1,4,2,5,3,6] => 2
[4,5,2,1,6,3] => [1,4,2,5,6,3] => 1
[4,5,2,3,1,6] => [1,4,3,2,5,6] => 1
[4,5,2,3,6,1] => [1,4,3,2,5,6] => 1
[4,5,2,6,1,3] => [1,4,6,3,2,5] => 1
[4,5,2,6,3,1] => [1,4,6,2,5,3] => 1
[4,5,3,1,2,6] => [1,4,2,5,3,6] => 2
[4,5,3,1,6,2] => [1,4,2,5,6,3] => 1
[4,5,3,2,1,6] => [1,4,2,5,3,6] => 2
[4,5,3,2,6,1] => [1,4,2,5,6,3] => 1
[4,5,3,6,1,2] => [1,4,6,2,5,3] => 1
[4,5,3,6,2,1] => [1,4,6,2,5,3] => 1
[4,5,6,1,2,3] => [1,4,2,5,3,6] => 2
[4,5,6,1,3,2] => [1,4,2,5,3,6] => 2
[4,5,6,2,1,3] => [1,4,2,5,3,6] => 2
[4,5,6,2,3,1] => [1,4,2,5,3,6] => 2
[4,5,6,3,1,2] => [1,4,3,6,2,5] => 2
[4,5,6,3,2,1] => [1,4,3,6,2,5] => 2
[4,6,1,2,3,5] => [1,4,2,6,5,3] => 1
[4,6,1,2,5,3] => [1,4,2,6,3,5] => 2
[4,6,1,3,2,5] => [1,4,3,2,6,5] => 1
[4,6,1,3,5,2] => [1,4,3,2,6,5] => 1
[4,6,1,5,2,3] => [1,4,5,2,6,3] => 1
[4,6,1,5,3,2] => [1,4,5,3,2,6] => 1
[4,6,2,1,3,5] => [1,4,2,6,5,3] => 1
[4,6,2,1,5,3] => [1,4,2,6,3,5] => 2
[4,6,2,3,1,5] => [1,4,3,2,6,5] => 1
[4,6,2,3,5,1] => [1,4,3,2,6,5] => 1
[4,6,2,5,1,3] => [1,4,5,2,6,3] => 1
[4,6,2,5,3,1] => [1,4,5,3,2,6] => 1
[4,6,3,1,2,5] => [1,4,2,6,5,3] => 1
[4,6,3,1,5,2] => [1,4,2,6,3,5] => 2
[4,6,3,2,1,5] => [1,4,2,6,5,3] => 1
[4,6,3,2,5,1] => [1,4,2,6,3,5] => 2
[4,6,3,5,1,2] => [1,4,5,2,6,3] => 1
[4,6,3,5,2,1] => [1,4,5,2,6,3] => 1
[4,6,5,1,2,3] => [1,4,2,6,3,5] => 2
[4,6,5,1,3,2] => [1,4,2,6,3,5] => 2
[4,6,5,2,1,3] => [1,4,2,6,3,5] => 2
[4,6,5,2,3,1] => [1,4,2,6,3,5] => 2
[4,6,5,3,1,2] => [1,4,3,5,2,6] => 2
[4,6,5,3,2,1] => [1,4,3,5,2,6] => 2
[5,1,2,3,4,6] => [1,5,4,3,2,6] => 1
[5,1,2,3,6,4] => [1,5,6,4,3,2] => 0
[5,1,2,4,3,6] => [1,5,3,2,4,6] => 1
[5,1,2,4,6,3] => [1,5,6,3,2,4] => 1
[5,1,2,6,3,4] => [1,5,3,2,4,6] => 1
[5,1,2,6,4,3] => [1,5,4,6,3,2] => 1
[5,1,3,2,4,6] => [1,5,4,2,3,6] => 1
[5,1,3,2,6,4] => [1,5,6,4,2,3] => 1
[5,1,3,4,2,6] => [1,5,2,3,4,6] => 1
[5,1,3,4,6,2] => [1,5,6,2,3,4] => 1
[5,1,3,6,2,4] => [1,5,2,3,4,6] => 1
[5,1,3,6,4,2] => [1,5,4,6,2,3] => 2
[5,1,4,2,3,6] => [1,5,3,4,2,6] => 2
[5,1,4,2,6,3] => [1,5,6,3,4,2] => 1
[5,1,4,3,2,6] => [1,5,2,3,4,6] => 1
[5,1,4,3,6,2] => [1,5,6,2,3,4] => 1
[5,1,4,6,2,3] => [1,5,2,3,4,6] => 1
[5,1,4,6,3,2] => [1,5,3,4,6,2] => 1
[5,1,6,2,3,4] => [1,5,3,6,4,2] => 1
[5,1,6,2,4,3] => [1,5,4,2,3,6] => 1
[5,1,6,3,2,4] => [1,5,2,3,6,4] => 1
[5,1,6,3,4,2] => [1,5,4,3,6,2] => 1
[5,1,6,4,2,3] => [1,5,2,3,6,4] => 1
[5,1,6,4,3,2] => [1,5,3,6,2,4] => 2
[5,2,1,3,4,6] => [1,5,4,3,2,6] => 1
[5,2,1,3,6,4] => [1,5,6,4,3,2] => 0
[5,2,1,4,3,6] => [1,5,3,2,4,6] => 1
[5,2,1,4,6,3] => [1,5,6,3,2,4] => 1
[5,2,1,6,3,4] => [1,5,3,2,4,6] => 1
[5,2,1,6,4,3] => [1,5,4,6,3,2] => 1
[5,2,3,1,4,6] => [1,5,4,2,3,6] => 1
[5,2,3,1,6,4] => [1,5,6,4,2,3] => 1
[5,2,3,4,1,6] => [1,5,2,3,4,6] => 1
[5,2,3,4,6,1] => [1,5,6,2,3,4] => 1
[5,2,3,6,1,4] => [1,5,2,3,4,6] => 1
[5,2,3,6,4,1] => [1,5,4,6,2,3] => 2
[5,2,4,1,3,6] => [1,5,3,4,2,6] => 2
[5,2,4,1,6,3] => [1,5,6,3,4,2] => 1
[5,2,4,3,1,6] => [1,5,2,3,4,6] => 1
[5,2,4,3,6,1] => [1,5,6,2,3,4] => 1
[5,2,4,6,1,3] => [1,5,2,3,4,6] => 1
[5,2,4,6,3,1] => [1,5,3,4,6,2] => 1
[5,2,6,1,3,4] => [1,5,3,6,4,2] => 1
[5,2,6,1,4,3] => [1,5,4,2,3,6] => 1
[5,2,6,3,1,4] => [1,5,2,3,6,4] => 1
[5,2,6,3,4,1] => [1,5,4,3,6,2] => 1
[5,2,6,4,1,3] => [1,5,2,3,6,4] => 1
[5,2,6,4,3,1] => [1,5,3,6,2,4] => 2
[5,3,1,2,4,6] => [1,5,4,2,3,6] => 1
[5,3,1,2,6,4] => [1,5,6,4,2,3] => 1
[5,3,1,4,2,6] => [1,5,2,3,4,6] => 1
[5,3,1,4,6,2] => [1,5,6,2,3,4] => 1
[5,3,1,6,2,4] => [1,5,2,3,4,6] => 1
[5,3,1,6,4,2] => [1,5,4,6,2,3] => 2
[5,3,2,1,4,6] => [1,5,4,2,3,6] => 1
[5,3,2,1,6,4] => [1,5,6,4,2,3] => 1
[5,3,2,4,1,6] => [1,5,2,3,4,6] => 1
[5,3,2,4,6,1] => [1,5,6,2,3,4] => 1
[5,3,2,6,1,4] => [1,5,2,3,4,6] => 1
[5,3,2,6,4,1] => [1,5,4,6,2,3] => 2
[5,3,4,1,2,6] => [1,5,2,3,4,6] => 1
[5,3,4,1,6,2] => [1,5,6,2,3,4] => 1
[5,3,4,2,1,6] => [1,5,2,3,4,6] => 1
[5,3,4,2,6,1] => [1,5,6,2,3,4] => 1
[5,3,4,6,1,2] => [1,5,2,3,4,6] => 1
[5,3,4,6,2,1] => [1,5,2,3,4,6] => 1
[5,3,6,1,2,4] => [1,5,2,3,6,4] => 1
[5,3,6,1,4,2] => [1,5,4,2,3,6] => 1
[5,3,6,2,1,4] => [1,5,2,3,6,4] => 1
[5,3,6,2,4,1] => [1,5,4,2,3,6] => 1
[5,3,6,4,1,2] => [1,5,2,3,6,4] => 1
[5,3,6,4,2,1] => [1,5,2,3,6,4] => 1
[5,4,1,2,3,6] => [1,5,3,2,4,6] => 1
[5,4,1,2,6,3] => [1,5,6,3,2,4] => 1
[5,4,1,3,2,6] => [1,5,2,4,3,6] => 2
[5,4,1,3,6,2] => [1,5,6,2,4,3] => 1
[5,4,1,6,2,3] => [1,5,2,4,6,3] => 1
[5,4,1,6,3,2] => [1,5,3,2,4,6] => 1
[5,4,2,1,3,6] => [1,5,3,2,4,6] => 1
[5,4,2,1,6,3] => [1,5,6,3,2,4] => 1
[5,4,2,3,1,6] => [1,5,2,4,3,6] => 2
[5,4,2,3,6,1] => [1,5,6,2,4,3] => 1
[5,4,2,6,1,3] => [1,5,2,4,6,3] => 1
[5,4,2,6,3,1] => [1,5,3,2,4,6] => 1
[5,4,3,1,2,6] => [1,5,2,4,3,6] => 2
[5,4,3,1,6,2] => [1,5,6,2,4,3] => 1
[5,4,3,2,1,6] => [1,5,2,4,3,6] => 2
[5,4,3,2,6,1] => [1,5,6,2,4,3] => 1
[5,4,3,6,1,2] => [1,5,2,4,6,3] => 1
[5,4,3,6,2,1] => [1,5,2,4,6,3] => 1
[5,4,6,1,2,3] => [1,5,2,4,3,6] => 2
[5,4,6,1,3,2] => [1,5,3,6,2,4] => 2
[5,4,6,2,1,3] => [1,5,2,4,3,6] => 2
[5,4,6,2,3,1] => [1,5,3,6,2,4] => 2
[5,4,6,3,1,2] => [1,5,2,4,3,6] => 2
[5,4,6,3,2,1] => [1,5,2,4,3,6] => 2
[5,6,1,2,3,4] => [1,5,3,2,6,4] => 1
[5,6,1,2,4,3] => [1,5,4,2,6,3] => 1
[5,6,1,3,2,4] => [1,5,2,6,4,3] => 1
[5,6,1,3,4,2] => [1,5,4,3,2,6] => 1
[5,6,1,4,2,3] => [1,5,2,6,3,4] => 2
[5,6,1,4,3,2] => [1,5,3,2,6,4] => 1
[5,6,2,1,3,4] => [1,5,3,2,6,4] => 1
[5,6,2,1,4,3] => [1,5,4,2,6,3] => 1
[5,6,2,3,1,4] => [1,5,2,6,4,3] => 1
[5,6,2,3,4,1] => [1,5,4,3,2,6] => 1
[5,6,2,4,1,3] => [1,5,2,6,3,4] => 2
[5,6,2,4,3,1] => [1,5,3,2,6,4] => 1
[5,6,3,1,2,4] => [1,5,2,6,4,3] => 1
[5,6,3,1,4,2] => [1,5,4,2,6,3] => 1
[5,6,3,2,1,4] => [1,5,2,6,4,3] => 1
[5,6,3,2,4,1] => [1,5,4,2,6,3] => 1
[5,6,3,4,1,2] => [1,5,2,6,3,4] => 2
[5,6,3,4,2,1] => [1,5,2,6,3,4] => 2
[5,6,4,1,2,3] => [1,5,2,6,3,4] => 2
[5,6,4,1,3,2] => [1,5,3,4,2,6] => 2
[5,6,4,2,1,3] => [1,5,2,6,3,4] => 2
[5,6,4,2,3,1] => [1,5,3,4,2,6] => 2
[5,6,4,3,1,2] => [1,5,2,6,3,4] => 2
[5,6,4,3,2,1] => [1,5,2,6,3,4] => 2
[6,1,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,2,3,5,4] => [1,6,4,3,2,5] => 1
[6,1,2,4,3,5] => [1,6,5,3,2,4] => 1
[6,1,2,4,5,3] => [1,6,3,2,4,5] => 1
[6,1,2,5,3,4] => [1,6,4,5,3,2] => 1
[6,1,2,5,4,3] => [1,6,3,2,4,5] => 1
[6,1,3,2,4,5] => [1,6,5,4,2,3] => 1
[6,1,3,2,5,4] => [1,6,4,2,3,5] => 1
[6,1,3,4,2,5] => [1,6,5,2,3,4] => 1
[6,1,3,4,5,2] => [1,6,2,3,4,5] => 1
[6,1,3,5,2,4] => [1,6,4,5,2,3] => 2
[6,1,3,5,4,2] => [1,6,2,3,4,5] => 1
[6,1,4,2,3,5] => [1,6,5,3,4,2] => 1
[6,1,4,2,5,3] => [1,6,3,4,2,5] => 2
[6,1,4,3,2,5] => [1,6,5,2,3,4] => 1
[6,1,4,3,5,2] => [1,6,2,3,4,5] => 1
[6,1,4,5,2,3] => [1,6,3,4,5,2] => 1
[6,1,4,5,3,2] => [1,6,2,3,4,5] => 1
[6,1,5,2,3,4] => [1,6,4,2,3,5] => 1
[6,1,5,2,4,3] => [1,6,3,5,4,2] => 1
[6,1,5,3,2,4] => [1,6,4,3,5,2] => 1
[6,1,5,3,4,2] => [1,6,2,3,5,4] => 1
[6,1,5,4,2,3] => [1,6,3,5,2,4] => 2
[6,1,5,4,3,2] => [1,6,2,3,5,4] => 1
[6,2,1,3,4,5] => [1,6,5,4,3,2] => 0
[6,2,1,3,5,4] => [1,6,4,3,2,5] => 1
[6,2,1,4,3,5] => [1,6,5,3,2,4] => 1
[6,2,1,4,5,3] => [1,6,3,2,4,5] => 1
[6,2,1,5,3,4] => [1,6,4,5,3,2] => 1
[6,2,1,5,4,3] => [1,6,3,2,4,5] => 1
[6,2,3,1,4,5] => [1,6,5,4,2,3] => 1
[6,2,3,1,5,4] => [1,6,4,2,3,5] => 1
[6,2,3,4,1,5] => [1,6,5,2,3,4] => 1
[6,2,3,4,5,1] => [1,6,2,3,4,5] => 1
[6,2,3,5,1,4] => [1,6,4,5,2,3] => 2
[6,2,3,5,4,1] => [1,6,2,3,4,5] => 1
[6,2,4,1,3,5] => [1,6,5,3,4,2] => 1
[6,2,4,1,5,3] => [1,6,3,4,2,5] => 2
[6,2,4,3,1,5] => [1,6,5,2,3,4] => 1
[6,2,4,3,5,1] => [1,6,2,3,4,5] => 1
[6,2,4,5,1,3] => [1,6,3,4,5,2] => 1
[6,2,4,5,3,1] => [1,6,2,3,4,5] => 1
[6,2,5,1,3,4] => [1,6,4,2,3,5] => 1
[6,2,5,1,4,3] => [1,6,3,5,4,2] => 1
[6,2,5,3,1,4] => [1,6,4,3,5,2] => 1
[6,2,5,3,4,1] => [1,6,2,3,5,4] => 1
[6,2,5,4,1,3] => [1,6,3,5,2,4] => 2
[6,2,5,4,3,1] => [1,6,2,3,5,4] => 1
[6,3,1,2,4,5] => [1,6,5,4,2,3] => 1
[6,3,1,2,5,4] => [1,6,4,2,3,5] => 1
[6,3,1,4,2,5] => [1,6,5,2,3,4] => 1
[6,3,1,4,5,2] => [1,6,2,3,4,5] => 1
[6,3,1,5,2,4] => [1,6,4,5,2,3] => 2
[6,3,1,5,4,2] => [1,6,2,3,4,5] => 1
[6,3,2,1,4,5] => [1,6,5,4,2,3] => 1
[6,3,2,1,5,4] => [1,6,4,2,3,5] => 1
[6,3,2,4,1,5] => [1,6,5,2,3,4] => 1
[6,3,2,4,5,1] => [1,6,2,3,4,5] => 1
[6,3,2,5,1,4] => [1,6,4,5,2,3] => 2
[6,3,2,5,4,1] => [1,6,2,3,4,5] => 1
[6,3,4,1,2,5] => [1,6,5,2,3,4] => 1
[6,3,4,1,5,2] => [1,6,2,3,4,5] => 1
[6,3,4,2,1,5] => [1,6,5,2,3,4] => 1
[6,3,4,2,5,1] => [1,6,2,3,4,5] => 1
[6,3,4,5,1,2] => [1,6,2,3,4,5] => 1
[6,3,4,5,2,1] => [1,6,2,3,4,5] => 1
[6,3,5,1,2,4] => [1,6,4,2,3,5] => 1
[6,3,5,1,4,2] => [1,6,2,3,5,4] => 1
[6,3,5,2,1,4] => [1,6,4,2,3,5] => 1
[6,3,5,2,4,1] => [1,6,2,3,5,4] => 1
[6,3,5,4,1,2] => [1,6,2,3,5,4] => 1
[6,3,5,4,2,1] => [1,6,2,3,5,4] => 1
[6,4,1,2,3,5] => [1,6,5,3,2,4] => 1
[6,4,1,2,5,3] => [1,6,3,2,4,5] => 1
[6,4,1,3,2,5] => [1,6,5,2,4,3] => 1
[6,4,1,3,5,2] => [1,6,2,4,3,5] => 2
[6,4,1,5,2,3] => [1,6,3,2,4,5] => 1
[6,4,1,5,3,2] => [1,6,2,4,5,3] => 1
[6,4,2,1,3,5] => [1,6,5,3,2,4] => 1
[6,4,2,1,5,3] => [1,6,3,2,4,5] => 1
[6,4,2,3,1,5] => [1,6,5,2,4,3] => 1
[6,4,2,3,5,1] => [1,6,2,4,3,5] => 2
[6,4,2,5,1,3] => [1,6,3,2,4,5] => 1
[6,4,2,5,3,1] => [1,6,2,4,5,3] => 1
[6,4,3,1,2,5] => [1,6,5,2,4,3] => 1
[6,4,3,1,5,2] => [1,6,2,4,3,5] => 2
[6,4,3,2,1,5] => [1,6,5,2,4,3] => 1
[6,4,3,2,5,1] => [1,6,2,4,3,5] => 2
[6,4,3,5,1,2] => [1,6,2,4,5,3] => 1
[6,4,3,5,2,1] => [1,6,2,4,5,3] => 1
[6,4,5,1,2,3] => [1,6,3,5,2,4] => 2
[6,4,5,1,3,2] => [1,6,2,4,3,5] => 2
[6,4,5,2,1,3] => [1,6,3,5,2,4] => 2
[6,4,5,2,3,1] => [1,6,2,4,3,5] => 2
[6,4,5,3,1,2] => [1,6,2,4,3,5] => 2
[6,4,5,3,2,1] => [1,6,2,4,3,5] => 2
[6,5,1,2,3,4] => [1,6,4,2,5,3] => 1
[6,5,1,2,4,3] => [1,6,3,2,5,4] => 1
[6,5,1,3,2,4] => [1,6,4,3,2,5] => 1
[6,5,1,3,4,2] => [1,6,2,5,4,3] => 1
[6,5,1,4,2,3] => [1,6,3,2,5,4] => 1
[6,5,1,4,3,2] => [1,6,2,5,3,4] => 2
[6,5,2,1,3,4] => [1,6,4,2,5,3] => 1
[6,5,2,1,4,3] => [1,6,3,2,5,4] => 1
[6,5,2,3,1,4] => [1,6,4,3,2,5] => 1
[6,5,2,3,4,1] => [1,6,2,5,4,3] => 1
[6,5,2,4,1,3] => [1,6,3,2,5,4] => 1
[6,5,2,4,3,1] => [1,6,2,5,3,4] => 2
[6,5,3,1,2,4] => [1,6,4,2,5,3] => 1
[6,5,3,1,4,2] => [1,6,2,5,4,3] => 1
[6,5,3,2,1,4] => [1,6,4,2,5,3] => 1
[6,5,3,2,4,1] => [1,6,2,5,4,3] => 1
[6,5,3,4,1,2] => [1,6,2,5,3,4] => 2
[6,5,3,4,2,1] => [1,6,2,5,3,4] => 2
[6,5,4,1,2,3] => [1,6,3,4,2,5] => 2
[6,5,4,1,3,2] => [1,6,2,5,3,4] => 2
[6,5,4,2,1,3] => [1,6,3,4,2,5] => 2
[6,5,4,2,3,1] => [1,6,2,5,3,4] => 2
[6,5,4,3,1,2] => [1,6,2,5,3,4] => 2
[6,5,4,3,2,1] => [1,6,2,5,3,4] => 2
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 0
[1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => 0
[1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[1,2,3,5,7,4,6] => [1,2,3,4,5,7,6] => 0
[1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => 0
[1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,2,3,6,4,7,5] => [1,2,3,4,6,7,5] => 0
[1,2,3,6,5,4,7] => [1,2,3,4,6,5,7] => 1
[1,2,3,6,5,7,4] => [1,2,3,4,6,7,5] => 0
[1,2,3,6,7,4,5] => [1,2,3,4,6,5,7] => 1
[1,2,3,6,7,5,4] => [1,2,3,4,6,5,7] => 1
[1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,2,3,7,4,6,5] => [1,2,3,4,7,5,6] => 1
[1,2,3,7,5,4,6] => [1,2,3,4,7,6,5] => 0
[1,2,3,7,5,6,4] => [1,2,3,4,7,5,6] => 1
[1,2,3,7,6,4,5] => [1,2,3,4,7,5,6] => 1
[1,2,3,7,6,5,4] => [1,2,3,4,7,5,6] => 1
[1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,2,4,3,6,7,5] => [1,2,3,4,5,6,7] => 0
[1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 0
[1,2,4,3,7,6,5] => [1,2,3,4,5,7,6] => 0
[1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,4,5,3,7,6] => [1,2,3,4,5,6,7] => 0
[1,2,4,5,6,3,7] => [1,2,3,4,5,6,7] => 0
[1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => 0
[1,2,4,5,7,3,6] => [1,2,3,4,5,7,6] => 0
[1,2,4,5,7,6,3] => [1,2,3,4,5,7,6] => 0
[1,2,4,6,3,5,7] => [1,2,3,4,6,5,7] => 1
[1,2,4,6,3,7,5] => [1,2,3,4,6,7,5] => 0
[1,2,4,6,5,3,7] => [1,2,3,4,6,5,7] => 1
[1,2,4,6,5,7,3] => [1,2,3,4,6,7,5] => 0
[1,2,4,6,7,3,5] => [1,2,3,4,6,5,7] => 1
[1,2,4,6,7,5,3] => [1,2,3,4,6,5,7] => 1
[1,2,4,7,3,5,6] => [1,2,3,4,7,6,5] => 0
[1,2,4,7,3,6,5] => [1,2,3,4,7,5,6] => 1
[1,2,4,7,5,3,6] => [1,2,3,4,7,6,5] => 0
[1,2,4,7,5,6,3] => [1,2,3,4,7,5,6] => 1
[1,2,4,7,6,3,5] => [1,2,3,4,7,5,6] => 1
[1,2,4,7,6,5,3] => [1,2,3,4,7,5,6] => 1
[1,2,5,3,4,6,7] => [1,2,3,5,4,6,7] => 1
[1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,2,5,3,6,4,7] => [1,2,3,5,6,4,7] => 1
[1,2,5,3,6,7,4] => [1,2,3,5,6,7,4] => 0
[1,2,5,3,7,4,6] => [1,2,3,5,7,6,4] => 0
[1,2,5,3,7,6,4] => [1,2,3,5,7,4,6] => 1
[1,2,5,4,3,6,7] => [1,2,3,5,4,6,7] => 1
[1,2,5,4,3,7,6] => [1,2,3,5,4,6,7] => 1
[1,2,5,4,6,3,7] => [1,2,3,5,6,4,7] => 1
[1,2,5,4,6,7,3] => [1,2,3,5,6,7,4] => 0
[1,2,5,4,7,3,6] => [1,2,3,5,7,6,4] => 0
[1,2,5,4,7,6,3] => [1,2,3,5,7,4,6] => 1
[1,2,5,6,3,4,7] => [1,2,3,5,4,6,7] => 1
[1,2,5,6,3,7,4] => [1,2,3,5,4,6,7] => 1
[1,2,5,6,4,3,7] => [1,2,3,5,4,6,7] => 1
[1,2,5,6,4,7,3] => [1,2,3,5,4,6,7] => 1
[1,2,5,6,7,3,4] => [1,2,3,5,7,4,6] => 1
[1,2,5,6,7,4,3] => [1,2,3,5,7,4,6] => 1
[1,2,5,7,3,4,6] => [1,2,3,5,4,7,6] => 1
[1,2,5,7,3,6,4] => [1,2,3,5,4,7,6] => 1
[1,2,5,7,4,3,6] => [1,2,3,5,4,7,6] => 1
[1,2,5,7,4,6,3] => [1,2,3,5,4,7,6] => 1
[1,2,5,7,6,3,4] => [1,2,3,5,6,4,7] => 1
[1,2,5,7,6,4,3] => [1,2,3,5,6,4,7] => 1
[1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => 1
[1,2,6,3,4,7,5] => [1,2,3,6,7,5,4] => 0
[1,2,6,3,5,4,7] => [1,2,3,6,4,5,7] => 1
[1,2,6,3,5,7,4] => [1,2,3,6,7,4,5] => 1
[1,2,6,3,7,4,5] => [1,2,3,6,4,5,7] => 1
[1,2,6,3,7,5,4] => [1,2,3,6,5,7,4] => 1
[1,2,6,4,3,5,7] => [1,2,3,6,5,4,7] => 1
[1,2,6,4,3,7,5] => [1,2,3,6,7,5,4] => 0
[1,2,6,4,5,3,7] => [1,2,3,6,4,5,7] => 1
[1,2,6,4,5,7,3] => [1,2,3,6,7,4,5] => 1
[1,2,6,4,7,3,5] => [1,2,3,6,4,5,7] => 1
[1,2,6,4,7,5,3] => [1,2,3,6,5,7,4] => 1
[1,2,6,5,3,4,7] => [1,2,3,6,4,5,7] => 1
[1,2,6,5,3,7,4] => [1,2,3,6,7,4,5] => 1
[1,2,6,5,4,3,7] => [1,2,3,6,4,5,7] => 1
[1,2,6,5,4,7,3] => [1,2,3,6,7,4,5] => 1
[1,2,6,5,7,3,4] => [1,2,3,6,4,5,7] => 1
[1,2,6,5,7,4,3] => [1,2,3,6,4,5,7] => 1
[1,2,6,7,3,4,5] => [1,2,3,6,4,7,5] => 1
[1,2,6,7,3,5,4] => [1,2,3,6,5,4,7] => 1
[1,2,6,7,4,3,5] => [1,2,3,6,4,7,5] => 1
[1,2,6,7,4,5,3] => [1,2,3,6,5,4,7] => 1
[1,2,6,7,5,3,4] => [1,2,3,6,4,7,5] => 1
[1,2,6,7,5,4,3] => [1,2,3,6,4,7,5] => 1
[1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,2,7,3,4,6,5] => [1,2,3,7,5,4,6] => 1
[1,2,7,3,5,4,6] => [1,2,3,7,6,4,5] => 1
[1,2,7,3,5,6,4] => [1,2,3,7,4,5,6] => 1
[1,2,7,3,6,4,5] => [1,2,3,7,5,6,4] => 1
[1,2,7,3,6,5,4] => [1,2,3,7,4,5,6] => 1
[1,2,7,4,3,5,6] => [1,2,3,7,6,5,4] => 0
[1,2,7,4,3,6,5] => [1,2,3,7,5,4,6] => 1
[1,2,7,4,5,3,6] => [1,2,3,7,6,4,5] => 1
[1,2,7,4,5,6,3] => [1,2,3,7,4,5,6] => 1
[1,2,7,4,6,3,5] => [1,2,3,7,5,6,4] => 1
[1,2,7,4,6,5,3] => [1,2,3,7,4,5,6] => 1
[1,2,7,5,3,4,6] => [1,2,3,7,6,4,5] => 1
[1,2,7,5,3,6,4] => [1,2,3,7,4,5,6] => 1
[1,2,7,5,4,3,6] => [1,2,3,7,6,4,5] => 1
[1,2,7,5,4,6,3] => [1,2,3,7,4,5,6] => 1
[1,2,7,5,6,3,4] => [1,2,3,7,4,5,6] => 1
[1,2,7,5,6,4,3] => [1,2,3,7,4,5,6] => 1
[1,2,7,6,3,4,5] => [1,2,3,7,5,4,6] => 1
[1,2,7,6,3,5,4] => [1,2,3,7,4,6,5] => 1
[1,2,7,6,4,3,5] => [1,2,3,7,5,4,6] => 1
[1,2,7,6,4,5,3] => [1,2,3,7,4,6,5] => 1
[1,2,7,6,5,3,4] => [1,2,3,7,4,6,5] => 1
[1,2,7,6,5,4,3] => [1,2,3,7,4,6,5] => 1
[1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 0
[1,3,2,4,7,6,5] => [1,2,3,4,5,7,6] => 0
[1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,3,2,5,6,4,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[1,3,2,5,7,4,6] => [1,2,3,4,5,7,6] => 0
[1,3,2,5,7,6,4] => [1,2,3,4,5,7,6] => 0
[1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,3,2,6,4,7,5] => [1,2,3,4,6,7,5] => 0
[1,3,2,6,5,4,7] => [1,2,3,4,6,5,7] => 1
[1,3,2,6,5,7,4] => [1,2,3,4,6,7,5] => 0
[1,3,2,6,7,4,5] => [1,2,3,4,6,5,7] => 1
[1,3,2,6,7,5,4] => [1,2,3,4,6,5,7] => 1
[1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[1,3,2,7,4,6,5] => [1,2,3,4,7,5,6] => 1
[1,3,2,7,5,4,6] => [1,2,3,4,7,6,5] => 0
[1,3,2,7,5,6,4] => [1,2,3,4,7,5,6] => 1
[1,3,2,7,6,4,5] => [1,2,3,4,7,5,6] => 1
[1,3,2,7,6,5,4] => [1,2,3,4,7,5,6] => 1
[1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,4,2,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,3,4,2,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,3,4,2,6,7,5] => [1,2,3,4,5,6,7] => 0
[1,3,4,2,7,5,6] => [1,2,3,4,5,7,6] => 0
[1,3,4,2,7,6,5] => [1,2,3,4,5,7,6] => 0
[1,3,4,5,2,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,4,5,2,7,6] => [1,2,3,4,5,6,7] => 0
[1,3,4,5,6,2,7] => [1,2,3,4,5,6,7] => 0
[1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => 0
[1,3,4,5,7,2,6] => [1,2,3,4,5,7,6] => 0
[1,3,4,5,7,6,2] => [1,2,3,4,5,7,6] => 0
[1,3,4,6,2,5,7] => [1,2,3,4,6,5,7] => 1
[1,3,4,6,2,7,5] => [1,2,3,4,6,7,5] => 0
[1,3,4,6,5,2,7] => [1,2,3,4,6,5,7] => 1
[1,3,4,6,5,7,2] => [1,2,3,4,6,7,5] => 0
[1,3,4,6,7,2,5] => [1,2,3,4,6,5,7] => 1
[1,3,4,6,7,5,2] => [1,2,3,4,6,5,7] => 1
[1,3,4,7,2,5,6] => [1,2,3,4,7,6,5] => 0
[1,3,4,7,2,6,5] => [1,2,3,4,7,5,6] => 1
[1,3,4,7,5,2,6] => [1,2,3,4,7,6,5] => 0
[1,3,4,7,5,6,2] => [1,2,3,4,7,5,6] => 1
[1,3,4,7,6,2,5] => [1,2,3,4,7,5,6] => 1
[1,3,4,7,6,5,2] => [1,2,3,4,7,5,6] => 1
[1,3,5,2,4,6,7] => [1,2,3,5,4,6,7] => 1
[1,3,5,2,4,7,6] => [1,2,3,5,4,6,7] => 1
[1,3,5,2,6,4,7] => [1,2,3,5,6,4,7] => 1
[1,3,5,2,6,7,4] => [1,2,3,5,6,7,4] => 0
[1,3,5,2,7,4,6] => [1,2,3,5,7,6,4] => 0
[1,3,5,2,7,6,4] => [1,2,3,5,7,4,6] => 1
[1,3,5,4,2,6,7] => [1,2,3,5,4,6,7] => 1
[1,3,5,4,2,7,6] => [1,2,3,5,4,6,7] => 1
[1,3,5,4,6,2,7] => [1,2,3,5,6,4,7] => 1
[1,3,5,4,6,7,2] => [1,2,3,5,6,7,4] => 0
[1,3,5,4,7,2,6] => [1,2,3,5,7,6,4] => 0
[1,3,5,4,7,6,2] => [1,2,3,5,7,4,6] => 1
[1,3,5,6,2,4,7] => [1,2,3,5,4,6,7] => 1
[1,3,5,6,2,7,4] => [1,2,3,5,4,6,7] => 1
[1,3,5,6,4,2,7] => [1,2,3,5,4,6,7] => 1
[1,3,5,6,4,7,2] => [1,2,3,5,4,6,7] => 1
[1,3,5,6,7,2,4] => [1,2,3,5,7,4,6] => 1
[1,3,5,6,7,4,2] => [1,2,3,5,7,4,6] => 1
[1,3,5,7,2,4,6] => [1,2,3,5,4,7,6] => 1
[1,3,5,7,2,6,4] => [1,2,3,5,4,7,6] => 1
[1,3,5,7,4,2,6] => [1,2,3,5,4,7,6] => 1
[1,3,5,7,4,6,2] => [1,2,3,5,4,7,6] => 1
[1,3,5,7,6,2,4] => [1,2,3,5,6,4,7] => 1
[1,3,5,7,6,4,2] => [1,2,3,5,6,4,7] => 1
[1,3,6,2,4,5,7] => [1,2,3,6,5,4,7] => 1
[1,3,6,2,4,7,5] => [1,2,3,6,7,5,4] => 0
[1,3,6,2,5,4,7] => [1,2,3,6,4,5,7] => 1
[1,3,6,2,5,7,4] => [1,2,3,6,7,4,5] => 1
[1,3,6,2,7,4,5] => [1,2,3,6,4,5,7] => 1
[1,3,6,2,7,5,4] => [1,2,3,6,5,7,4] => 1
[1,3,6,4,2,5,7] => [1,2,3,6,5,4,7] => 1
[1,3,6,4,2,7,5] => [1,2,3,6,7,5,4] => 0
[1,3,6,4,5,2,7] => [1,2,3,6,4,5,7] => 1
[1,3,6,4,5,7,2] => [1,2,3,6,7,4,5] => 1
[1,3,6,4,7,2,5] => [1,2,3,6,4,5,7] => 1
[1,3,6,4,7,5,2] => [1,2,3,6,5,7,4] => 1
[1,3,6,5,2,4,7] => [1,2,3,6,4,5,7] => 1
[1,3,6,5,2,7,4] => [1,2,3,6,7,4,5] => 1
[1,3,6,5,4,2,7] => [1,2,3,6,4,5,7] => 1
[1,3,6,5,4,7,2] => [1,2,3,6,7,4,5] => 1
[1,3,6,5,7,2,4] => [1,2,3,6,4,5,7] => 1
[1,3,6,5,7,4,2] => [1,2,3,6,4,5,7] => 1
[1,3,6,7,2,4,5] => [1,2,3,6,4,7,5] => 1
[1,3,6,7,2,5,4] => [1,2,3,6,5,4,7] => 1
[1,3,6,7,4,2,5] => [1,2,3,6,4,7,5] => 1
[1,3,6,7,4,5,2] => [1,2,3,6,5,4,7] => 1
[1,3,6,7,5,2,4] => [1,2,3,6,4,7,5] => 1
[1,3,6,7,5,4,2] => [1,2,3,6,4,7,5] => 1
[1,3,7,2,4,5,6] => [1,2,3,7,6,5,4] => 0
[1,3,7,2,4,6,5] => [1,2,3,7,5,4,6] => 1
[1,3,7,2,5,4,6] => [1,2,3,7,6,4,5] => 1
[1,3,7,2,5,6,4] => [1,2,3,7,4,5,6] => 1
[1,3,7,2,6,4,5] => [1,2,3,7,5,6,4] => 1
[1,3,7,2,6,5,4] => [1,2,3,7,4,5,6] => 1
[1,3,7,4,2,5,6] => [1,2,3,7,6,5,4] => 0
[1,3,7,4,2,6,5] => [1,2,3,7,5,4,6] => 1
[1,3,7,4,5,2,6] => [1,2,3,7,6,4,5] => 1
[1,3,7,4,5,6,2] => [1,2,3,7,4,5,6] => 1
[1,3,7,4,6,2,5] => [1,2,3,7,5,6,4] => 1
[1,3,7,4,6,5,2] => [1,2,3,7,4,5,6] => 1
[1,3,7,5,2,4,6] => [1,2,3,7,6,4,5] => 1
[1,3,7,5,2,6,4] => [1,2,3,7,4,5,6] => 1
[1,3,7,5,4,2,6] => [1,2,3,7,6,4,5] => 1
[1,3,7,5,4,6,2] => [1,2,3,7,4,5,6] => 1
[1,3,7,5,6,2,4] => [1,2,3,7,4,5,6] => 1
[1,3,7,5,6,4,2] => [1,2,3,7,4,5,6] => 1
[1,3,7,6,2,4,5] => [1,2,3,7,5,4,6] => 1
[1,3,7,6,2,5,4] => [1,2,3,7,4,6,5] => 1
[1,3,7,6,4,2,5] => [1,2,3,7,5,4,6] => 1
[1,3,7,6,4,5,2] => [1,2,3,7,4,6,5] => 1
[1,3,7,6,5,2,4] => [1,2,3,7,4,6,5] => 1
[1,3,7,6,5,4,2] => [1,2,3,7,4,6,5] => 1
[1,4,2,3,5,6,7] => [1,2,4,3,5,6,7] => 1
[1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => 1
[1,4,2,3,6,5,7] => [1,2,4,3,5,6,7] => 1
[1,4,2,3,6,7,5] => [1,2,4,3,5,6,7] => 1
[1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => 1
[1,4,2,3,7,6,5] => [1,2,4,3,5,7,6] => 1
[1,4,2,5,3,6,7] => [1,2,4,5,3,6,7] => 1
[1,4,2,5,3,7,6] => [1,2,4,5,3,6,7] => 1
[1,4,2,5,6,3,7] => [1,2,4,5,6,3,7] => 1
[1,4,2,5,6,7,3] => [1,2,4,5,6,7,3] => 0
[1,4,2,5,7,3,6] => [1,2,4,5,7,6,3] => 0
[1,4,2,5,7,6,3] => [1,2,4,5,7,3,6] => 1
[1,4,2,6,3,5,7] => [1,2,4,6,5,3,7] => 1
[1,4,2,6,3,7,5] => [1,2,4,6,7,5,3] => 0
[1,4,2,6,5,3,7] => [1,2,4,6,3,5,7] => 1
[1,4,2,6,5,7,3] => [1,2,4,6,7,3,5] => 1
[1,4,2,6,7,3,5] => [1,2,4,6,3,5,7] => 1
[1,4,2,6,7,5,3] => [1,2,4,6,5,7,3] => 1
[1,4,2,7,3,5,6] => [1,2,4,7,6,5,3] => 0
[1,4,2,7,3,6,5] => [1,2,4,7,5,3,6] => 1
[1,4,2,7,5,3,6] => [1,2,4,7,6,3,5] => 1
[1,4,2,7,5,6,3] => [1,2,4,7,3,5,6] => 1
[1,4,2,7,6,3,5] => [1,2,4,7,5,6,3] => 1
[1,4,2,7,6,5,3] => [1,2,4,7,3,5,6] => 1
[1,4,3,2,5,6,7] => [1,2,4,3,5,6,7] => 1
[1,4,3,2,5,7,6] => [1,2,4,3,5,6,7] => 1
[1,4,3,2,6,5,7] => [1,2,4,3,5,6,7] => 1
[1,4,3,2,6,7,5] => [1,2,4,3,5,6,7] => 1
[1,4,3,2,7,5,6] => [1,2,4,3,5,7,6] => 1
[1,4,3,2,7,6,5] => [1,2,4,3,5,7,6] => 1
[1,4,3,5,2,6,7] => [1,2,4,5,3,6,7] => 1
[1,4,3,5,2,7,6] => [1,2,4,5,3,6,7] => 1
[1,4,3,5,6,2,7] => [1,2,4,5,6,3,7] => 1
[1,4,3,5,6,7,2] => [1,2,4,5,6,7,3] => 0
[1,4,3,5,7,2,6] => [1,2,4,5,7,6,3] => 0
[1,4,3,5,7,6,2] => [1,2,4,5,7,3,6] => 1
[1,4,3,6,2,5,7] => [1,2,4,6,5,3,7] => 1
[1,4,3,6,2,7,5] => [1,2,4,6,7,5,3] => 0
[1,4,3,6,5,2,7] => [1,2,4,6,3,5,7] => 1
[1,4,3,6,5,7,2] => [1,2,4,6,7,3,5] => 1
[1,4,3,6,7,2,5] => [1,2,4,6,3,5,7] => 1
[1,4,3,6,7,5,2] => [1,2,4,6,5,7,3] => 1
[1,4,3,7,2,5,6] => [1,2,4,7,6,5,3] => 0
[1,4,3,7,2,6,5] => [1,2,4,7,5,3,6] => 1
[1,4,3,7,5,2,6] => [1,2,4,7,6,3,5] => 1
[1,4,3,7,5,6,2] => [1,2,4,7,3,5,6] => 1
[1,4,3,7,6,2,5] => [1,2,4,7,5,6,3] => 1
[1,4,3,7,6,5,2] => [1,2,4,7,3,5,6] => 1
[1,4,5,2,3,6,7] => [1,2,4,3,5,6,7] => 1
[1,4,5,2,3,7,6] => [1,2,4,3,5,6,7] => 1
[1,4,5,2,6,3,7] => [1,2,4,3,5,6,7] => 1
[1,4,5,2,6,7,3] => [1,2,4,3,5,6,7] => 1
[1,4,5,2,7,3,6] => [1,2,4,3,5,7,6] => 1
[1,4,5,2,7,6,3] => [1,2,4,3,5,7,6] => 1
[1,4,5,3,2,6,7] => [1,2,4,3,5,6,7] => 1
[1,4,5,3,2,7,6] => [1,2,4,3,5,6,7] => 1
[1,4,5,3,6,2,7] => [1,2,4,3,5,6,7] => 1
[1,4,5,3,6,7,2] => [1,2,4,3,5,6,7] => 1
[1,4,5,3,7,2,6] => [1,2,4,3,5,7,6] => 1
[1,4,5,3,7,6,2] => [1,2,4,3,5,7,6] => 1
[1,4,5,6,2,3,7] => [1,2,4,6,3,5,7] => 1
[1,4,5,6,2,7,3] => [1,2,4,6,7,3,5] => 1
[1,4,5,6,3,2,7] => [1,2,4,6,3,5,7] => 1
[1,4,5,6,3,7,2] => [1,2,4,6,7,3,5] => 1
[1,4,5,6,7,2,3] => [1,2,4,6,3,5,7] => 1
[1,4,5,6,7,3,2] => [1,2,4,6,3,5,7] => 1
[1,4,5,7,2,3,6] => [1,2,4,7,6,3,5] => 1
[1,4,5,7,2,6,3] => [1,2,4,7,3,5,6] => 1
[1,4,5,7,3,2,6] => [1,2,4,7,6,3,5] => 1
[1,4,5,7,3,6,2] => [1,2,4,7,3,5,6] => 1
[1,4,5,7,6,2,3] => [1,2,4,7,3,5,6] => 1
[1,4,5,7,6,3,2] => [1,2,4,7,3,5,6] => 1
[1,4,6,2,3,5,7] => [1,2,4,3,6,5,7] => 2
[1,4,6,2,3,7,5] => [1,2,4,3,6,7,5] => 1
[1,4,6,2,5,3,7] => [1,2,4,3,6,5,7] => 2
[1,4,6,2,5,7,3] => [1,2,4,3,6,7,5] => 1
[1,4,6,2,7,3,5] => [1,2,4,3,6,5,7] => 2
[1,4,6,2,7,5,3] => [1,2,4,3,6,5,7] => 2
[1,4,6,3,2,5,7] => [1,2,4,3,6,5,7] => 2
[1,4,6,3,2,7,5] => [1,2,4,3,6,7,5] => 1
[1,4,6,3,5,2,7] => [1,2,4,3,6,5,7] => 2
[1,4,6,3,5,7,2] => [1,2,4,3,6,7,5] => 1
[1,4,6,3,7,2,5] => [1,2,4,3,6,5,7] => 2
[1,4,6,3,7,5,2] => [1,2,4,3,6,5,7] => 2
[1,4,6,5,2,3,7] => [1,2,4,5,3,6,7] => 1
[1,4,6,5,2,7,3] => [1,2,4,5,3,6,7] => 1
[1,4,6,5,3,2,7] => [1,2,4,5,3,6,7] => 1
[1,4,6,5,3,7,2] => [1,2,4,5,3,6,7] => 1
[1,4,6,5,7,2,3] => [1,2,4,5,7,3,6] => 1
[1,4,6,5,7,3,2] => [1,2,4,5,7,3,6] => 1
[1,4,6,7,2,3,5] => [1,2,4,7,5,3,6] => 1
[1,4,6,7,2,5,3] => [1,2,4,7,3,6,5] => 1
[1,4,6,7,3,2,5] => [1,2,4,7,5,3,6] => 1
[1,4,6,7,3,5,2] => [1,2,4,7,3,6,5] => 1
[1,4,6,7,5,2,3] => [1,2,4,7,3,6,5] => 1
[1,4,6,7,5,3,2] => [1,2,4,7,3,6,5] => 1
[1,4,7,2,3,5,6] => [1,2,4,3,7,6,5] => 1
[1,4,7,2,3,6,5] => [1,2,4,3,7,5,6] => 2
[1,4,7,2,5,3,6] => [1,2,4,3,7,6,5] => 1
[1,4,7,2,5,6,3] => [1,2,4,3,7,5,6] => 2
[1,4,7,2,6,3,5] => [1,2,4,3,7,5,6] => 2
[1,4,7,2,6,5,3] => [1,2,4,3,7,5,6] => 2
[1,4,7,3,2,5,6] => [1,2,4,3,7,6,5] => 1
[1,4,7,3,2,6,5] => [1,2,4,3,7,5,6] => 2
[1,4,7,3,5,2,6] => [1,2,4,3,7,6,5] => 1
[1,4,7,3,5,6,2] => [1,2,4,3,7,5,6] => 2
[1,4,7,3,6,2,5] => [1,2,4,3,7,5,6] => 2
[1,4,7,3,6,5,2] => [1,2,4,3,7,5,6] => 2
[1,4,7,5,2,3,6] => [1,2,4,5,3,7,6] => 1
[1,4,7,5,2,6,3] => [1,2,4,5,3,7,6] => 1
[1,4,7,5,3,2,6] => [1,2,4,5,3,7,6] => 1
[1,4,7,5,3,6,2] => [1,2,4,5,3,7,6] => 1
[1,4,7,5,6,2,3] => [1,2,4,5,6,3,7] => 1
[1,4,7,5,6,3,2] => [1,2,4,5,6,3,7] => 1
[1,4,7,6,2,3,5] => [1,2,4,6,3,7,5] => 1
[1,4,7,6,2,5,3] => [1,2,4,6,5,3,7] => 1
[1,4,7,6,3,2,5] => [1,2,4,6,3,7,5] => 1
[1,4,7,6,3,5,2] => [1,2,4,6,5,3,7] => 1
[1,4,7,6,5,2,3] => [1,2,4,6,3,7,5] => 1
[1,4,7,6,5,3,2] => [1,2,4,6,3,7,5] => 1
[1,5,2,3,4,6,7] => [1,2,5,4,3,6,7] => 1
[1,5,2,3,4,7,6] => [1,2,5,4,3,6,7] => 1
[1,5,2,3,6,4,7] => [1,2,5,6,4,3,7] => 1
[1,5,2,3,6,7,4] => [1,2,5,6,7,4,3] => 0
[1,5,2,3,7,4,6] => [1,2,5,7,6,4,3] => 0
[1,5,2,3,7,6,4] => [1,2,5,7,4,3,6] => 1
[1,5,2,4,3,6,7] => [1,2,5,3,4,6,7] => 1
[1,5,2,4,3,7,6] => [1,2,5,3,4,6,7] => 1
[1,5,2,4,6,3,7] => [1,2,5,6,3,4,7] => 1
[1,5,2,4,6,7,3] => [1,2,5,6,7,3,4] => 1
[1,5,2,4,7,3,6] => [1,2,5,7,6,3,4] => 1
[1,5,2,4,7,6,3] => [1,2,5,7,3,4,6] => 1
[1,5,2,6,3,4,7] => [1,2,5,3,4,6,7] => 1
[1,5,2,6,3,7,4] => [1,2,5,3,4,6,7] => 1
[1,5,2,6,4,3,7] => [1,2,5,4,6,3,7] => 2
[1,5,2,6,4,7,3] => [1,2,5,4,6,7,3] => 1
[1,5,2,6,7,3,4] => [1,2,5,7,4,6,3] => 1
[1,5,2,6,7,4,3] => [1,2,5,7,3,4,6] => 1
[1,5,2,7,3,4,6] => [1,2,5,3,4,7,6] => 1
[1,5,2,7,3,6,4] => [1,2,5,3,4,7,6] => 1
[1,5,2,7,4,3,6] => [1,2,5,4,7,6,3] => 1
[1,5,2,7,4,6,3] => [1,2,5,4,7,3,6] => 2
[1,5,2,7,6,3,4] => [1,2,5,6,3,4,7] => 1
[1,5,2,7,6,4,3] => [1,2,5,6,4,7,3] => 1
[1,5,3,2,4,6,7] => [1,2,5,4,3,6,7] => 1
[1,5,3,2,4,7,6] => [1,2,5,4,3,6,7] => 1
[1,5,3,2,6,4,7] => [1,2,5,6,4,3,7] => 1
[1,5,3,2,6,7,4] => [1,2,5,6,7,4,3] => 0
[1,5,3,2,7,4,6] => [1,2,5,7,6,4,3] => 0
[1,5,3,2,7,6,4] => [1,2,5,7,4,3,6] => 1
[1,5,3,4,2,6,7] => [1,2,5,3,4,6,7] => 1
[1,5,3,4,2,7,6] => [1,2,5,3,4,6,7] => 1
[1,5,3,4,6,2,7] => [1,2,5,6,3,4,7] => 1
[1,5,3,4,6,7,2] => [1,2,5,6,7,3,4] => 1
[1,5,3,4,7,2,6] => [1,2,5,7,6,3,4] => 1
[1,5,3,4,7,6,2] => [1,2,5,7,3,4,6] => 1
[1,5,3,6,2,4,7] => [1,2,5,3,4,6,7] => 1
[1,5,3,6,2,7,4] => [1,2,5,3,4,6,7] => 1
[1,5,3,6,4,2,7] => [1,2,5,4,6,3,7] => 2
[1,5,3,6,4,7,2] => [1,2,5,4,6,7,3] => 1
[1,5,3,6,7,2,4] => [1,2,5,7,4,6,3] => 1
[1,5,3,6,7,4,2] => [1,2,5,7,3,4,6] => 1
[1,5,3,7,2,4,6] => [1,2,5,3,4,7,6] => 1
[1,5,3,7,2,6,4] => [1,2,5,3,4,7,6] => 1
[1,5,3,7,4,2,6] => [1,2,5,4,7,6,3] => 1
[1,5,3,7,4,6,2] => [1,2,5,4,7,3,6] => 2
[1,5,3,7,6,2,4] => [1,2,5,6,3,4,7] => 1
[1,5,3,7,6,4,2] => [1,2,5,6,4,7,3] => 1
[1,5,4,2,3,6,7] => [1,2,5,3,4,6,7] => 1
[1,5,4,2,3,7,6] => [1,2,5,3,4,6,7] => 1
[1,5,4,2,6,3,7] => [1,2,5,6,3,4,7] => 1
[1,5,4,2,6,7,3] => [1,2,5,6,7,3,4] => 1
[1,5,4,2,7,3,6] => [1,2,5,7,6,3,4] => 1
[1,5,4,2,7,6,3] => [1,2,5,7,3,4,6] => 1
[1,5,4,3,2,6,7] => [1,2,5,3,4,6,7] => 1
[1,5,4,3,2,7,6] => [1,2,5,3,4,6,7] => 1
[1,5,4,3,6,2,7] => [1,2,5,6,3,4,7] => 1
[1,5,4,3,6,7,2] => [1,2,5,6,7,3,4] => 1
[1,5,4,3,7,2,6] => [1,2,5,7,6,3,4] => 1
[1,5,4,3,7,6,2] => [1,2,5,7,3,4,6] => 1
[1,5,4,6,2,3,7] => [1,2,5,3,4,6,7] => 1
[1,5,4,6,2,7,3] => [1,2,5,3,4,6,7] => 1
[1,5,4,6,3,2,7] => [1,2,5,3,4,6,7] => 1
[1,5,4,6,3,7,2] => [1,2,5,3,4,6,7] => 1
[1,5,4,6,7,2,3] => [1,2,5,7,3,4,6] => 1
[1,5,4,6,7,3,2] => [1,2,5,7,3,4,6] => 1
[1,5,4,7,2,3,6] => [1,2,5,3,4,7,6] => 1
[1,5,4,7,2,6,3] => [1,2,5,3,4,7,6] => 1
[1,5,4,7,3,2,6] => [1,2,5,3,4,7,6] => 1
[1,5,4,7,3,6,2] => [1,2,5,3,4,7,6] => 1
[1,5,4,7,6,2,3] => [1,2,5,6,3,4,7] => 1
[1,5,4,7,6,3,2] => [1,2,5,6,3,4,7] => 1
[1,5,6,2,3,4,7] => [1,2,5,3,6,4,7] => 2
[1,5,6,2,3,7,4] => [1,2,5,3,6,7,4] => 1
[1,5,6,2,4,3,7] => [1,2,5,4,3,6,7] => 1
[1,5,6,2,4,7,3] => [1,2,5,4,3,6,7] => 1
[1,5,6,2,7,3,4] => [1,2,5,7,4,3,6] => 1
[1,5,6,2,7,4,3] => [1,2,5,7,3,6,4] => 1
[1,5,6,3,2,4,7] => [1,2,5,3,6,4,7] => 2
[1,5,6,3,2,7,4] => [1,2,5,3,6,7,4] => 1
[1,5,6,3,4,2,7] => [1,2,5,4,3,6,7] => 1
[1,5,6,3,4,7,2] => [1,2,5,4,3,6,7] => 1
[1,5,6,3,7,2,4] => [1,2,5,7,4,3,6] => 1
[1,5,6,3,7,4,2] => [1,2,5,7,3,6,4] => 1
[1,5,6,4,2,3,7] => [1,2,5,3,6,4,7] => 2
[1,5,6,4,2,7,3] => [1,2,5,3,6,7,4] => 1
[1,5,6,4,3,2,7] => [1,2,5,3,6,4,7] => 2
[1,5,6,4,3,7,2] => [1,2,5,3,6,7,4] => 1
[1,5,6,4,7,2,3] => [1,2,5,7,3,6,4] => 1
[1,5,6,4,7,3,2] => [1,2,5,7,3,6,4] => 1
[1,5,6,7,2,3,4] => [1,2,5,3,6,4,7] => 2
[1,5,6,7,2,4,3] => [1,2,5,3,6,4,7] => 2
[1,5,6,7,3,2,4] => [1,2,5,3,6,4,7] => 2
[1,5,6,7,3,4,2] => [1,2,5,3,6,4,7] => 2
[1,5,6,7,4,2,3] => [1,2,5,4,7,3,6] => 2
[1,5,6,7,4,3,2] => [1,2,5,4,7,3,6] => 2
[1,5,7,2,3,4,6] => [1,2,5,3,7,6,4] => 1
[1,5,7,2,3,6,4] => [1,2,5,3,7,4,6] => 2
[1,5,7,2,4,3,6] => [1,2,5,4,3,7,6] => 1
[1,5,7,2,4,6,3] => [1,2,5,4,3,7,6] => 1
[1,5,7,2,6,3,4] => [1,2,5,6,3,7,4] => 1
[1,5,7,2,6,4,3] => [1,2,5,6,4,3,7] => 1
[1,5,7,3,2,4,6] => [1,2,5,3,7,6,4] => 1
[1,5,7,3,2,6,4] => [1,2,5,3,7,4,6] => 2
[1,5,7,3,4,2,6] => [1,2,5,4,3,7,6] => 1
[1,5,7,3,4,6,2] => [1,2,5,4,3,7,6] => 1
[1,5,7,3,6,2,4] => [1,2,5,6,3,7,4] => 1
[1,5,7,3,6,4,2] => [1,2,5,6,4,3,7] => 1
[1,5,7,4,2,3,6] => [1,2,5,3,7,6,4] => 1
[1,5,7,4,2,6,3] => [1,2,5,3,7,4,6] => 2
[1,5,7,4,3,2,6] => [1,2,5,3,7,6,4] => 1
[1,5,7,4,3,6,2] => [1,2,5,3,7,4,6] => 2
[1,5,7,4,6,2,3] => [1,2,5,6,3,7,4] => 1
[1,5,7,4,6,3,2] => [1,2,5,6,3,7,4] => 1
[1,5,7,6,2,3,4] => [1,2,5,3,7,4,6] => 2
[1,5,7,6,2,4,3] => [1,2,5,3,7,4,6] => 2
[1,5,7,6,3,2,4] => [1,2,5,3,7,4,6] => 2
[1,5,7,6,3,4,2] => [1,2,5,3,7,4,6] => 2
[1,5,7,6,4,2,3] => [1,2,5,4,6,3,7] => 2
[1,5,7,6,4,3,2] => [1,2,5,4,6,3,7] => 2
[1,6,2,3,4,5,7] => [1,2,6,5,4,3,7] => 1
[1,6,2,3,4,7,5] => [1,2,6,7,5,4,3] => 0
[1,6,2,3,5,4,7] => [1,2,6,4,3,5,7] => 1
[1,6,2,3,5,7,4] => [1,2,6,7,4,3,5] => 1
[1,6,2,3,7,4,5] => [1,2,6,4,3,5,7] => 1
[1,6,2,3,7,5,4] => [1,2,6,5,7,4,3] => 1
[1,6,2,4,3,5,7] => [1,2,6,5,3,4,7] => 1
[1,6,2,4,3,7,5] => [1,2,6,7,5,3,4] => 1
[1,6,2,4,5,3,7] => [1,2,6,3,4,5,7] => 1
[1,6,2,4,5,7,3] => [1,2,6,7,3,4,5] => 1
[1,6,2,4,7,3,5] => [1,2,6,3,4,5,7] => 1
[1,6,2,4,7,5,3] => [1,2,6,5,7,3,4] => 2
[1,6,2,5,3,4,7] => [1,2,6,4,5,3,7] => 2
[1,6,2,5,3,7,4] => [1,2,6,7,4,5,3] => 1
[1,6,2,5,4,3,7] => [1,2,6,3,4,5,7] => 1
[1,6,2,5,4,7,3] => [1,2,6,7,3,4,5] => 1
[1,6,2,5,7,3,4] => [1,2,6,3,4,5,7] => 1
[1,6,2,5,7,4,3] => [1,2,6,4,5,7,3] => 1
[1,6,2,7,3,4,5] => [1,2,6,4,7,5,3] => 1
[1,6,2,7,3,5,4] => [1,2,6,5,3,4,7] => 1
[1,6,2,7,4,3,5] => [1,2,6,3,4,7,5] => 1
[1,6,2,7,4,5,3] => [1,2,6,5,4,7,3] => 1
[1,6,2,7,5,3,4] => [1,2,6,3,4,7,5] => 1
[1,6,2,7,5,4,3] => [1,2,6,4,7,3,5] => 2
[1,6,3,2,4,5,7] => [1,2,6,5,4,3,7] => 1
[1,6,3,2,4,7,5] => [1,2,6,7,5,4,3] => 0
[1,6,3,2,5,4,7] => [1,2,6,4,3,5,7] => 1
[1,6,3,2,5,7,4] => [1,2,6,7,4,3,5] => 1
[1,6,3,2,7,4,5] => [1,2,6,4,3,5,7] => 1
[1,6,3,2,7,5,4] => [1,2,6,5,7,4,3] => 1
[1,6,3,4,2,5,7] => [1,2,6,5,3,4,7] => 1
[1,6,3,4,2,7,5] => [1,2,6,7,5,3,4] => 1
[1,6,3,4,5,2,7] => [1,2,6,3,4,5,7] => 1
[1,6,3,4,5,7,2] => [1,2,6,7,3,4,5] => 1
[1,6,3,4,7,2,5] => [1,2,6,3,4,5,7] => 1
[1,6,3,4,7,5,2] => [1,2,6,5,7,3,4] => 2
[1,6,3,5,2,4,7] => [1,2,6,4,5,3,7] => 2
[1,6,3,5,2,7,4] => [1,2,6,7,4,5,3] => 1
[1,6,3,5,4,2,7] => [1,2,6,3,4,5,7] => 1
[1,6,3,5,4,7,2] => [1,2,6,7,3,4,5] => 1
[1,6,3,5,7,2,4] => [1,2,6,3,4,5,7] => 1
[1,6,3,5,7,4,2] => [1,2,6,4,5,7,3] => 1
[1,6,3,7,2,4,5] => [1,2,6,4,7,5,3] => 1
[1,6,3,7,2,5,4] => [1,2,6,5,3,4,7] => 1
[1,6,3,7,4,2,5] => [1,2,6,3,4,7,5] => 1
[1,6,3,7,4,5,2] => [1,2,6,5,4,7,3] => 1
[1,6,3,7,5,2,4] => [1,2,6,3,4,7,5] => 1
[1,6,3,7,5,4,2] => [1,2,6,4,7,3,5] => 2
[1,6,4,2,3,5,7] => [1,2,6,5,3,4,7] => 1
[1,6,4,2,3,7,5] => [1,2,6,7,5,3,4] => 1
[1,6,4,2,5,3,7] => [1,2,6,3,4,5,7] => 1
[1,6,4,2,5,7,3] => [1,2,6,7,3,4,5] => 1
[1,6,4,2,7,3,5] => [1,2,6,3,4,5,7] => 1
[1,6,4,2,7,5,3] => [1,2,6,5,7,3,4] => 2
[1,6,4,3,2,5,7] => [1,2,6,5,3,4,7] => 1
[1,6,4,3,2,7,5] => [1,2,6,7,5,3,4] => 1
[1,6,4,3,5,2,7] => [1,2,6,3,4,5,7] => 1
[1,6,4,3,5,7,2] => [1,2,6,7,3,4,5] => 1
[1,6,4,3,7,2,5] => [1,2,6,3,4,5,7] => 1
[1,6,4,3,7,5,2] => [1,2,6,5,7,3,4] => 2
[1,6,4,5,2,3,7] => [1,2,6,3,4,5,7] => 1
[1,6,4,5,2,7,3] => [1,2,6,7,3,4,5] => 1
[1,6,4,5,3,2,7] => [1,2,6,3,4,5,7] => 1
[1,6,4,5,3,7,2] => [1,2,6,7,3,4,5] => 1
[1,6,4,5,7,2,3] => [1,2,6,3,4,5,7] => 1
[1,6,4,5,7,3,2] => [1,2,6,3,4,5,7] => 1
[1,6,4,7,2,3,5] => [1,2,6,3,4,7,5] => 1
[1,6,4,7,2,5,3] => [1,2,6,5,3,4,7] => 1
[1,6,4,7,3,2,5] => [1,2,6,3,4,7,5] => 1
[1,6,4,7,3,5,2] => [1,2,6,5,3,4,7] => 1
[1,6,4,7,5,2,3] => [1,2,6,3,4,7,5] => 1
[1,6,4,7,5,3,2] => [1,2,6,3,4,7,5] => 1
[1,6,5,2,3,4,7] => [1,2,6,4,3,5,7] => 1
[1,6,5,2,3,7,4] => [1,2,6,7,4,3,5] => 1
[1,6,5,2,4,3,7] => [1,2,6,3,5,4,7] => 2
[1,6,5,2,4,7,3] => [1,2,6,7,3,5,4] => 1
[1,6,5,2,7,3,4] => [1,2,6,3,5,7,4] => 1
[1,6,5,2,7,4,3] => [1,2,6,4,3,5,7] => 1
[1,6,5,3,2,4,7] => [1,2,6,4,3,5,7] => 1
[1,6,5,3,2,7,4] => [1,2,6,7,4,3,5] => 1
[1,6,5,3,4,2,7] => [1,2,6,3,5,4,7] => 2
[1,6,5,3,4,7,2] => [1,2,6,7,3,5,4] => 1
[1,6,5,3,7,2,4] => [1,2,6,3,5,7,4] => 1
[1,6,5,3,7,4,2] => [1,2,6,4,3,5,7] => 1
[1,6,5,4,2,3,7] => [1,2,6,3,5,4,7] => 2
[1,6,5,4,2,7,3] => [1,2,6,7,3,5,4] => 1
[1,6,5,4,3,2,7] => [1,2,6,3,5,4,7] => 2
[1,6,5,4,3,7,2] => [1,2,6,7,3,5,4] => 1
[1,6,5,4,7,2,3] => [1,2,6,3,5,7,4] => 1
[1,6,5,4,7,3,2] => [1,2,6,3,5,7,4] => 1
[1,6,5,7,2,3,4] => [1,2,6,3,5,4,7] => 2
[1,6,5,7,2,4,3] => [1,2,6,4,7,3,5] => 2
[1,6,5,7,3,2,4] => [1,2,6,3,5,4,7] => 2
[1,6,5,7,3,4,2] => [1,2,6,4,7,3,5] => 2
[1,6,5,7,4,2,3] => [1,2,6,3,5,4,7] => 2
[1,6,5,7,4,3,2] => [1,2,6,3,5,4,7] => 2
[1,6,7,2,3,4,5] => [1,2,6,4,3,7,5] => 1
[1,6,7,2,3,5,4] => [1,2,6,5,3,7,4] => 1
[1,6,7,2,4,3,5] => [1,2,6,3,7,5,4] => 1
[1,6,7,2,4,5,3] => [1,2,6,5,4,3,7] => 1
[1,6,7,2,5,3,4] => [1,2,6,3,7,4,5] => 2
[1,6,7,2,5,4,3] => [1,2,6,4,3,7,5] => 1
[1,6,7,3,2,4,5] => [1,2,6,4,3,7,5] => 1
[1,6,7,3,2,5,4] => [1,2,6,5,3,7,4] => 1
[1,6,7,3,4,2,5] => [1,2,6,3,7,5,4] => 1
[1,6,7,3,4,5,2] => [1,2,6,5,4,3,7] => 1
[1,6,7,3,5,2,4] => [1,2,6,3,7,4,5] => 2
[1,6,7,3,5,4,2] => [1,2,6,4,3,7,5] => 1
[1,6,7,4,2,3,5] => [1,2,6,3,7,5,4] => 1
[1,6,7,4,2,5,3] => [1,2,6,5,3,7,4] => 1
[1,6,7,4,3,2,5] => [1,2,6,3,7,5,4] => 1
[1,6,7,4,3,5,2] => [1,2,6,5,3,7,4] => 1
[1,6,7,4,5,2,3] => [1,2,6,3,7,4,5] => 2
[1,6,7,4,5,3,2] => [1,2,6,3,7,4,5] => 2
[1,6,7,5,2,3,4] => [1,2,6,3,7,4,5] => 2
[1,6,7,5,2,4,3] => [1,2,6,4,5,3,7] => 2
[1,6,7,5,3,2,4] => [1,2,6,3,7,4,5] => 2
[1,6,7,5,3,4,2] => [1,2,6,4,5,3,7] => 2
[1,6,7,5,4,2,3] => [1,2,6,3,7,4,5] => 2
[1,6,7,5,4,3,2] => [1,2,6,3,7,4,5] => 2
[1,7,2,3,4,5,6] => [1,2,7,6,5,4,3] => 0
[1,7,2,3,4,6,5] => [1,2,7,5,4,3,6] => 1
[1,7,2,3,5,4,6] => [1,2,7,6,4,3,5] => 1
[1,7,2,3,5,6,4] => [1,2,7,4,3,5,6] => 1
[1,7,2,3,6,4,5] => [1,2,7,5,6,4,3] => 1
[1,7,2,3,6,5,4] => [1,2,7,4,3,5,6] => 1
[1,7,2,4,3,5,6] => [1,2,7,6,5,3,4] => 1
[1,7,2,4,3,6,5] => [1,2,7,5,3,4,6] => 1
[1,7,2,4,5,3,6] => [1,2,7,6,3,4,5] => 1
[1,7,2,4,5,6,3] => [1,2,7,3,4,5,6] => 1
[1,7,2,4,6,3,5] => [1,2,7,5,6,3,4] => 2
[1,7,2,4,6,5,3] => [1,2,7,3,4,5,6] => 1
[1,7,2,5,3,4,6] => [1,2,7,6,4,5,3] => 1
[1,7,2,5,3,6,4] => [1,2,7,4,5,3,6] => 2
[1,7,2,5,4,3,6] => [1,2,7,6,3,4,5] => 1
[1,7,2,5,4,6,3] => [1,2,7,3,4,5,6] => 1
[1,7,2,5,6,3,4] => [1,2,7,4,5,6,3] => 1
[1,7,2,5,6,4,3] => [1,2,7,3,4,5,6] => 1
[1,7,2,6,3,4,5] => [1,2,7,5,3,4,6] => 1
[1,7,2,6,3,5,4] => [1,2,7,4,6,5,3] => 1
[1,7,2,6,4,3,5] => [1,2,7,5,4,6,3] => 1
[1,7,2,6,4,5,3] => [1,2,7,3,4,6,5] => 1
[1,7,2,6,5,3,4] => [1,2,7,4,6,3,5] => 2
[1,7,2,6,5,4,3] => [1,2,7,3,4,6,5] => 1
[1,7,3,2,4,5,6] => [1,2,7,6,5,4,3] => 0
[1,7,3,2,4,6,5] => [1,2,7,5,4,3,6] => 1
[1,7,3,2,5,4,6] => [1,2,7,6,4,3,5] => 1
[1,7,3,2,5,6,4] => [1,2,7,4,3,5,6] => 1
[1,7,3,2,6,4,5] => [1,2,7,5,6,4,3] => 1
[1,7,3,2,6,5,4] => [1,2,7,4,3,5,6] => 1
[1,7,3,4,2,5,6] => [1,2,7,6,5,3,4] => 1
[1,7,3,4,2,6,5] => [1,2,7,5,3,4,6] => 1
[1,7,3,4,5,2,6] => [1,2,7,6,3,4,5] => 1
[1,7,3,4,5,6,2] => [1,2,7,3,4,5,6] => 1
[1,7,3,4,6,2,5] => [1,2,7,5,6,3,4] => 2
[1,7,3,4,6,5,2] => [1,2,7,3,4,5,6] => 1
[1,7,3,5,2,4,6] => [1,2,7,6,4,5,3] => 1
[1,7,3,5,2,6,4] => [1,2,7,4,5,3,6] => 2
[1,7,3,5,4,2,6] => [1,2,7,6,3,4,5] => 1
[1,7,3,5,4,6,2] => [1,2,7,3,4,5,6] => 1
[1,7,3,5,6,2,4] => [1,2,7,4,5,6,3] => 1
[1,7,3,5,6,4,2] => [1,2,7,3,4,5,6] => 1
[1,7,3,6,2,4,5] => [1,2,7,5,3,4,6] => 1
[1,7,3,6,2,5,4] => [1,2,7,4,6,5,3] => 1
[1,7,3,6,4,2,5] => [1,2,7,5,4,6,3] => 1
[1,7,3,6,4,5,2] => [1,2,7,3,4,6,5] => 1
[1,7,3,6,5,2,4] => [1,2,7,4,6,3,5] => 2
[1,7,3,6,5,4,2] => [1,2,7,3,4,6,5] => 1
[1,7,4,2,3,5,6] => [1,2,7,6,5,3,4] => 1
[1,7,4,2,3,6,5] => [1,2,7,5,3,4,6] => 1
[1,7,4,2,5,3,6] => [1,2,7,6,3,4,5] => 1
[1,7,4,2,5,6,3] => [1,2,7,3,4,5,6] => 1
[1,7,4,2,6,3,5] => [1,2,7,5,6,3,4] => 2
[1,7,4,2,6,5,3] => [1,2,7,3,4,5,6] => 1
[1,7,4,3,2,5,6] => [1,2,7,6,5,3,4] => 1
[1,7,4,3,2,6,5] => [1,2,7,5,3,4,6] => 1
[1,7,4,3,5,2,6] => [1,2,7,6,3,4,5] => 1
[1,7,4,3,5,6,2] => [1,2,7,3,4,5,6] => 1
[1,7,4,3,6,2,5] => [1,2,7,5,6,3,4] => 2
[1,7,4,3,6,5,2] => [1,2,7,3,4,5,6] => 1
[1,7,4,5,2,3,6] => [1,2,7,6,3,4,5] => 1
[1,7,4,5,2,6,3] => [1,2,7,3,4,5,6] => 1
[1,7,4,5,3,2,6] => [1,2,7,6,3,4,5] => 1
[1,7,4,5,3,6,2] => [1,2,7,3,4,5,6] => 1
[1,7,4,5,6,2,3] => [1,2,7,3,4,5,6] => 1
[1,7,4,5,6,3,2] => [1,2,7,3,4,5,6] => 1
[1,7,4,6,2,3,5] => [1,2,7,5,3,4,6] => 1
[1,7,4,6,2,5,3] => [1,2,7,3,4,6,5] => 1
[1,7,4,6,3,2,5] => [1,2,7,5,3,4,6] => 1
[1,7,4,6,3,5,2] => [1,2,7,3,4,6,5] => 1
[1,7,4,6,5,2,3] => [1,2,7,3,4,6,5] => 1
[1,7,4,6,5,3,2] => [1,2,7,3,4,6,5] => 1
[1,7,5,2,3,4,6] => [1,2,7,6,4,3,5] => 1
[1,7,5,2,3,6,4] => [1,2,7,4,3,5,6] => 1
[1,7,5,2,4,3,6] => [1,2,7,6,3,5,4] => 1
[1,7,5,2,4,6,3] => [1,2,7,3,5,4,6] => 2
[1,7,5,2,6,3,4] => [1,2,7,4,3,5,6] => 1
[1,7,5,2,6,4,3] => [1,2,7,3,5,6,4] => 1
[1,7,5,3,2,4,6] => [1,2,7,6,4,3,5] => 1
[1,7,5,3,2,6,4] => [1,2,7,4,3,5,6] => 1
[1,7,5,3,4,2,6] => [1,2,7,6,3,5,4] => 1
[1,7,5,3,4,6,2] => [1,2,7,3,5,4,6] => 2
[1,7,5,3,6,2,4] => [1,2,7,4,3,5,6] => 1
[1,7,5,3,6,4,2] => [1,2,7,3,5,6,4] => 1
[1,7,5,4,2,3,6] => [1,2,7,6,3,5,4] => 1
[1,7,5,4,2,6,3] => [1,2,7,3,5,4,6] => 2
[1,7,5,4,3,2,6] => [1,2,7,6,3,5,4] => 1
[1,7,5,4,3,6,2] => [1,2,7,3,5,4,6] => 2
[1,7,5,4,6,2,3] => [1,2,7,3,5,6,4] => 1
[1,7,5,4,6,3,2] => [1,2,7,3,5,6,4] => 1
[1,7,5,6,2,3,4] => [1,2,7,4,6,3,5] => 2
[1,7,5,6,2,4,3] => [1,2,7,3,5,4,6] => 2
[1,7,5,6,3,2,4] => [1,2,7,4,6,3,5] => 2
[1,7,5,6,3,4,2] => [1,2,7,3,5,4,6] => 2
[1,7,5,6,4,2,3] => [1,2,7,3,5,4,6] => 2
[1,7,5,6,4,3,2] => [1,2,7,3,5,4,6] => 2
[1,7,6,2,3,4,5] => [1,2,7,5,3,6,4] => 1
[1,7,6,2,3,5,4] => [1,2,7,4,3,6,5] => 1
[1,7,6,2,4,3,5] => [1,2,7,5,4,3,6] => 1
[1,7,6,2,4,5,3] => [1,2,7,3,6,5,4] => 1
[1,7,6,2,5,3,4] => [1,2,7,4,3,6,5] => 1
[1,7,6,2,5,4,3] => [1,2,7,3,6,4,5] => 2
[1,7,6,3,2,4,5] => [1,2,7,5,3,6,4] => 1
[1,7,6,3,2,5,4] => [1,2,7,4,3,6,5] => 1
[1,7,6,3,4,2,5] => [1,2,7,5,4,3,6] => 1
[1,7,6,3,4,5,2] => [1,2,7,3,6,5,4] => 1
[1,7,6,3,5,2,4] => [1,2,7,4,3,6,5] => 1
[1,7,6,3,5,4,2] => [1,2,7,3,6,4,5] => 2
[1,7,6,4,2,3,5] => [1,2,7,5,3,6,4] => 1
[1,7,6,4,2,5,3] => [1,2,7,3,6,5,4] => 1
[1,7,6,4,3,2,5] => [1,2,7,5,3,6,4] => 1
[1,7,6,4,3,5,2] => [1,2,7,3,6,5,4] => 1
[1,7,6,4,5,2,3] => [1,2,7,3,6,4,5] => 2
[1,7,6,4,5,3,2] => [1,2,7,3,6,4,5] => 2
[1,7,6,5,2,3,4] => [1,2,7,4,5,3,6] => 2
[1,7,6,5,2,4,3] => [1,2,7,3,6,4,5] => 2
[1,7,6,5,3,2,4] => [1,2,7,4,5,3,6] => 2
[1,7,6,5,3,4,2] => [1,2,7,3,6,4,5] => 2
[1,7,6,5,4,2,3] => [1,2,7,3,6,4,5] => 2
[1,7,6,5,4,3,2] => [1,2,7,3,6,4,5] => 2
[2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[2,1,3,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => 0
[2,1,3,4,7,6,5] => [1,2,3,4,5,7,6] => 0
[2,1,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[2,1,3,5,6,4,7] => [1,2,3,4,5,6,7] => 0
[2,1,3,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[2,1,3,5,7,4,6] => [1,2,3,4,5,7,6] => 0
[2,1,3,5,7,6,4] => [1,2,3,4,5,7,6] => 0
[2,1,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[2,1,3,6,4,7,5] => [1,2,3,4,6,7,5] => 0
[2,1,3,6,5,4,7] => [1,2,3,4,6,5,7] => 1
[2,1,3,6,5,7,4] => [1,2,3,4,6,7,5] => 0
[2,1,3,6,7,4,5] => [1,2,3,4,6,5,7] => 1
[2,1,3,6,7,5,4] => [1,2,3,4,6,5,7] => 1
[2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[2,1,3,7,4,6,5] => [1,2,3,4,7,5,6] => 1
[2,1,3,7,5,4,6] => [1,2,3,4,7,6,5] => 0
[2,1,3,7,5,6,4] => [1,2,3,4,7,5,6] => 1
[2,1,3,7,6,4,5] => [1,2,3,4,7,5,6] => 1
[2,1,3,7,6,5,4] => [1,2,3,4,7,5,6] => 1
[2,1,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => 0
[2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => 0
[2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => 0
[2,1,4,5,3,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,5,3,7,6] => [1,2,3,4,5,6,7] => 0
[2,1,4,5,6,3,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,5,6,7,3] => [1,2,3,4,5,6,7] => 0
[2,1,4,5,7,3,6] => [1,2,3,4,5,7,6] => 0
[2,1,4,5,7,6,3] => [1,2,3,4,5,7,6] => 0
[2,1,4,6,3,5,7] => [1,2,3,4,6,5,7] => 1
[2,1,4,6,3,7,5] => [1,2,3,4,6,7,5] => 0
[2,1,4,6,5,3,7] => [1,2,3,4,6,5,7] => 1
[2,1,4,6,5,7,3] => [1,2,3,4,6,7,5] => 0
[2,1,4,6,7,3,5] => [1,2,3,4,6,5,7] => 1
[2,1,4,6,7,5,3] => [1,2,3,4,6,5,7] => 1
[2,1,4,7,3,5,6] => [1,2,3,4,7,6,5] => 0
[2,1,4,7,3,6,5] => [1,2,3,4,7,5,6] => 1
[2,1,4,7,5,3,6] => [1,2,3,4,7,6,5] => 0
[2,1,4,7,5,6,3] => [1,2,3,4,7,5,6] => 1
[2,1,4,7,6,3,5] => [1,2,3,4,7,5,6] => 1
[2,1,4,7,6,5,3] => [1,2,3,4,7,5,6] => 1
[2,1,5,3,4,6,7] => [1,2,3,5,4,6,7] => 1
[2,1,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[2,1,5,3,6,4,7] => [1,2,3,5,6,4,7] => 1
[2,1,5,3,6,7,4] => [1,2,3,5,6,7,4] => 0
[2,1,5,3,7,4,6] => [1,2,3,5,7,6,4] => 0
[2,1,5,3,7,6,4] => [1,2,3,5,7,4,6] => 1
[2,1,5,4,3,6,7] => [1,2,3,5,4,6,7] => 1
[2,1,5,4,3,7,6] => [1,2,3,5,4,6,7] => 1
[2,1,5,4,6,3,7] => [1,2,3,5,6,4,7] => 1
[2,1,5,4,6,7,3] => [1,2,3,5,6,7,4] => 0
[2,1,5,4,7,3,6] => [1,2,3,5,7,6,4] => 0
[2,1,5,4,7,6,3] => [1,2,3,5,7,4,6] => 1
[2,1,5,6,3,4,7] => [1,2,3,5,4,6,7] => 1
[2,1,5,6,3,7,4] => [1,2,3,5,4,6,7] => 1
[2,1,5,6,4,3,7] => [1,2,3,5,4,6,7] => 1
[2,1,5,6,4,7,3] => [1,2,3,5,4,6,7] => 1
[2,1,5,6,7,3,4] => [1,2,3,5,7,4,6] => 1
[2,1,5,6,7,4,3] => [1,2,3,5,7,4,6] => 1
[2,1,5,7,3,4,6] => [1,2,3,5,4,7,6] => 1
[2,1,5,7,3,6,4] => [1,2,3,5,4,7,6] => 1
[2,1,5,7,4,3,6] => [1,2,3,5,4,7,6] => 1
[2,1,5,7,4,6,3] => [1,2,3,5,4,7,6] => 1
[2,1,5,7,6,3,4] => [1,2,3,5,6,4,7] => 1
[2,1,5,7,6,4,3] => [1,2,3,5,6,4,7] => 1
[2,1,6,3,4,5,7] => [1,2,3,6,5,4,7] => 1
[2,1,6,3,4,7,5] => [1,2,3,6,7,5,4] => 0
[2,1,6,3,5,4,7] => [1,2,3,6,4,5,7] => 1
[2,1,6,3,5,7,4] => [1,2,3,6,7,4,5] => 1
[2,1,6,3,7,4,5] => [1,2,3,6,4,5,7] => 1
[2,1,6,3,7,5,4] => [1,2,3,6,5,7,4] => 1
[2,1,6,4,3,5,7] => [1,2,3,6,5,4,7] => 1
[2,1,6,4,3,7,5] => [1,2,3,6,7,5,4] => 0
[2,1,6,4,5,3,7] => [1,2,3,6,4,5,7] => 1
[2,1,6,4,5,7,3] => [1,2,3,6,7,4,5] => 1
[2,1,6,4,7,3,5] => [1,2,3,6,4,5,7] => 1
[2,1,6,4,7,5,3] => [1,2,3,6,5,7,4] => 1
[2,1,6,5,3,4,7] => [1,2,3,6,4,5,7] => 1
[2,1,6,5,3,7,4] => [1,2,3,6,7,4,5] => 1
[2,1,6,5,4,3,7] => [1,2,3,6,4,5,7] => 1
[2,1,6,5,4,7,3] => [1,2,3,6,7,4,5] => 1
[2,1,6,5,7,3,4] => [1,2,3,6,4,5,7] => 1
[2,1,6,5,7,4,3] => [1,2,3,6,4,5,7] => 1
[2,1,6,7,3,4,5] => [1,2,3,6,4,7,5] => 1
[2,1,6,7,3,5,4] => [1,2,3,6,5,4,7] => 1
[2,1,6,7,4,3,5] => [1,2,3,6,4,7,5] => 1
[2,1,6,7,4,5,3] => [1,2,3,6,5,4,7] => 1
[2,1,6,7,5,3,4] => [1,2,3,6,4,7,5] => 1
[2,1,6,7,5,4,3] => [1,2,3,6,4,7,5] => 1
[2,1,7,3,4,5,6] => [1,2,3,7,6,5,4] => 0
[2,1,7,3,4,6,5] => [1,2,3,7,5,4,6] => 1
[2,1,7,3,5,4,6] => [1,2,3,7,6,4,5] => 1
[2,1,7,3,5,6,4] => [1,2,3,7,4,5,6] => 1
[2,1,7,3,6,4,5] => [1,2,3,7,5,6,4] => 1
[2,1,7,3,6,5,4] => [1,2,3,7,4,5,6] => 1
[2,1,7,4,3,5,6] => [1,2,3,7,6,5,4] => 0
[2,1,7,4,3,6,5] => [1,2,3,7,5,4,6] => 1
[2,1,7,4,5,3,6] => [1,2,3,7,6,4,5] => 1
[2,1,7,4,5,6,3] => [1,2,3,7,4,5,6] => 1
[2,1,7,4,6,3,5] => [1,2,3,7,5,6,4] => 1
[2,1,7,4,6,5,3] => [1,2,3,7,4,5,6] => 1
[2,1,7,5,3,4,6] => [1,2,3,7,6,4,5] => 1
[2,1,7,5,3,6,4] => [1,2,3,7,4,5,6] => 1
[2,1,7,5,4,3,6] => [1,2,3,7,6,4,5] => 1
[2,1,7,5,4,6,3] => [1,2,3,7,4,5,6] => 1
[2,1,7,5,6,3,4] => [1,2,3,7,4,5,6] => 1
[2,1,7,5,6,4,3] => [1,2,3,7,4,5,6] => 1
[2,1,7,6,3,4,5] => [1,2,3,7,5,4,6] => 1
[2,1,7,6,3,5,4] => [1,2,3,7,4,6,5] => 1
[2,1,7,6,4,3,5] => [1,2,3,7,5,4,6] => 1
[2,1,7,6,4,5,3] => [1,2,3,7,4,6,5] => 1
[2,1,7,6,5,3,4] => [1,2,3,7,4,6,5] => 1
[2,1,7,6,5,4,3] => [1,2,3,7,4,6,5] => 1
[2,3,1,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,1,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[2,3,1,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[2,3,1,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[2,3,1,4,7,5,6] => [1,2,3,4,5,7,6] => 0
[2,3,1,4,7,6,5] => [1,2,3,4,5,7,6] => 0
[2,3,1,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,1,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[2,3,1,5,6,4,7] => [1,2,3,4,5,6,7] => 0
[2,3,1,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[2,3,1,5,7,4,6] => [1,2,3,4,5,7,6] => 0
[2,3,1,5,7,6,4] => [1,2,3,4,5,7,6] => 0
[2,3,1,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[2,3,1,6,4,7,5] => [1,2,3,4,6,7,5] => 0
[2,3,1,6,5,4,7] => [1,2,3,4,6,5,7] => 1
[2,3,1,6,5,7,4] => [1,2,3,4,6,7,5] => 0
[2,3,1,6,7,4,5] => [1,2,3,4,6,5,7] => 1
[2,3,1,6,7,5,4] => [1,2,3,4,6,5,7] => 1
[2,3,1,7,4,5,6] => [1,2,3,4,7,6,5] => 0
[2,3,1,7,4,6,5] => [1,2,3,4,7,5,6] => 1
[2,3,1,7,5,4,6] => [1,2,3,4,7,6,5] => 0
[2,3,1,7,5,6,4] => [1,2,3,4,7,5,6] => 1
[2,3,1,7,6,4,5] => [1,2,3,4,7,5,6] => 1
[2,3,1,7,6,5,4] => [1,2,3,4,7,5,6] => 1
[2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,7,5,6] => [1,2,3,4,5,7,6] => 0
[2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => 0
[2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,5,1,7,6] => [1,2,3,4,5,6,7] => 0
[2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 0
[2,3,4,5,7,1,6] => [1,2,3,4,5,7,6] => 0
[2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 0
[2,3,4,6,1,5,7] => [1,2,3,4,6,5,7] => 1
[2,3,4,6,1,7,5] => [1,2,3,4,6,7,5] => 0
[2,3,4,6,5,1,7] => [1,2,3,4,6,5,7] => 1
[2,3,4,6,5,7,1] => [1,2,3,4,6,7,5] => 0
[2,3,4,6,7,1,5] => [1,2,3,4,6,5,7] => 1
[2,3,4,6,7,5,1] => [1,2,3,4,6,5,7] => 1
[2,3,4,7,1,5,6] => [1,2,3,4,7,6,5] => 0
[2,3,4,7,1,6,5] => [1,2,3,4,7,5,6] => 1
[2,3,4,7,5,1,6] => [1,2,3,4,7,6,5] => 0
[2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 1
[2,3,4,7,6,1,5] => [1,2,3,4,7,5,6] => 1
[2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 1
[2,3,5,1,4,6,7] => [1,2,3,5,4,6,7] => 1
[2,3,5,1,4,7,6] => [1,2,3,5,4,6,7] => 1
[2,3,5,1,6,4,7] => [1,2,3,5,6,4,7] => 1
[2,3,5,1,6,7,4] => [1,2,3,5,6,7,4] => 0
[2,3,5,1,7,4,6] => [1,2,3,5,7,6,4] => 0
[2,3,5,1,7,6,4] => [1,2,3,5,7,4,6] => 1
[2,3,5,4,1,6,7] => [1,2,3,5,4,6,7] => 1
[2,3,5,4,1,7,6] => [1,2,3,5,4,6,7] => 1
[2,3,5,4,6,1,7] => [1,2,3,5,6,4,7] => 1
[2,3,5,4,6,7,1] => [1,2,3,5,6,7,4] => 0
[2,3,5,4,7,1,6] => [1,2,3,5,7,6,4] => 0
[2,3,5,4,7,6,1] => [1,2,3,5,7,4,6] => 1
[2,3,5,6,1,4,7] => [1,2,3,5,4,6,7] => 1
[2,3,5,6,1,7,4] => [1,2,3,5,4,6,7] => 1
[2,3,5,6,4,1,7] => [1,2,3,5,4,6,7] => 1
[2,3,5,6,4,7,1] => [1,2,3,5,4,6,7] => 1
[2,3,5,6,7,1,4] => [1,2,3,5,7,4,6] => 1
[2,3,5,6,7,4,1] => [1,2,3,5,7,4,6] => 1
[2,3,5,7,1,4,6] => [1,2,3,5,4,7,6] => 1
[2,3,5,7,1,6,4] => [1,2,3,5,4,7,6] => 1
[2,3,5,7,4,1,6] => [1,2,3,5,4,7,6] => 1
[2,3,5,7,4,6,1] => [1,2,3,5,4,7,6] => 1
[2,3,5,7,6,1,4] => [1,2,3,5,6,4,7] => 1
[2,3,5,7,6,4,1] => [1,2,3,5,6,4,7] => 1
[2,3,6,1,4,5,7] => [1,2,3,6,5,4,7] => 1
[2,3,6,1,4,7,5] => [1,2,3,6,7,5,4] => 0
[2,3,6,1,5,4,7] => [1,2,3,6,4,5,7] => 1
[2,3,6,1,5,7,4] => [1,2,3,6,7,4,5] => 1
[2,3,6,1,7,4,5] => [1,2,3,6,4,5,7] => 1
[2,3,6,1,7,5,4] => [1,2,3,6,5,7,4] => 1
[2,3,6,4,1,5,7] => [1,2,3,6,5,4,7] => 1
[2,3,6,4,1,7,5] => [1,2,3,6,7,5,4] => 0
[2,3,6,4,5,1,7] => [1,2,3,6,4,5,7] => 1
[2,3,6,4,5,7,1] => [1,2,3,6,7,4,5] => 1
[2,3,6,4,7,1,5] => [1,2,3,6,4,5,7] => 1
[2,3,6,4,7,5,1] => [1,2,3,6,5,7,4] => 1
[2,3,6,5,1,4,7] => [1,2,3,6,4,5,7] => 1
[2,3,6,5,1,7,4] => [1,2,3,6,7,4,5] => 1
[2,3,6,5,4,1,7] => [1,2,3,6,4,5,7] => 1
[2,3,6,5,4,7,1] => [1,2,3,6,7,4,5] => 1
[2,3,6,5,7,1,4] => [1,2,3,6,4,5,7] => 1
[2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 1
[2,3,6,7,1,4,5] => [1,2,3,6,4,7,5] => 1
[2,3,6,7,1,5,4] => [1,2,3,6,5,4,7] => 1
[2,3,6,7,4,1,5] => [1,2,3,6,4,7,5] => 1
[2,3,6,7,4,5,1] => [1,2,3,6,5,4,7] => 1
[2,3,6,7,5,1,4] => [1,2,3,6,4,7,5] => 1
[2,3,6,7,5,4,1] => [1,2,3,6,4,7,5] => 1
[2,3,7,1,4,5,6] => [1,2,3,7,6,5,4] => 0
[2,3,7,1,4,6,5] => [1,2,3,7,5,4,6] => 1
[2,3,7,1,5,4,6] => [1,2,3,7,6,4,5] => 1
[2,3,7,1,5,6,4] => [1,2,3,7,4,5,6] => 1
[2,3,7,1,6,4,5] => [1,2,3,7,5,6,4] => 1
[2,3,7,1,6,5,4] => [1,2,3,7,4,5,6] => 1
[2,3,7,4,1,5,6] => [1,2,3,7,6,5,4] => 0
[2,3,7,4,1,6,5] => [1,2,3,7,5,4,6] => 1
[2,3,7,4,5,1,6] => [1,2,3,7,6,4,5] => 1
[2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => 1
[2,3,7,4,6,1,5] => [1,2,3,7,5,6,4] => 1
[2,3,7,4,6,5,1] => [1,2,3,7,4,5,6] => 1
[2,3,7,5,1,4,6] => [1,2,3,7,6,4,5] => 1
[2,3,7,5,1,6,4] => [1,2,3,7,4,5,6] => 1
[2,3,7,5,4,1,6] => [1,2,3,7,6,4,5] => 1
[2,3,7,5,4,6,1] => [1,2,3,7,4,5,6] => 1
[2,3,7,5,6,1,4] => [1,2,3,7,4,5,6] => 1
[2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => 1
[2,3,7,6,1,4,5] => [1,2,3,7,5,4,6] => 1
[2,3,7,6,1,5,4] => [1,2,3,7,4,6,5] => 1
[2,3,7,6,4,1,5] => [1,2,3,7,5,4,6] => 1
[2,3,7,6,4,5,1] => [1,2,3,7,4,6,5] => 1
[2,3,7,6,5,1,4] => [1,2,3,7,4,6,5] => 1
[2,3,7,6,5,4,1] => [1,2,3,7,4,6,5] => 1
[2,4,1,3,5,6,7] => [1,2,4,3,5,6,7] => 1
[2,4,1,3,5,7,6] => [1,2,4,3,5,6,7] => 1
[2,4,1,3,6,5,7] => [1,2,4,3,5,6,7] => 1
[2,4,1,3,6,7,5] => [1,2,4,3,5,6,7] => 1
[2,4,1,3,7,5,6] => [1,2,4,3,5,7,6] => 1
[2,4,1,3,7,6,5] => [1,2,4,3,5,7,6] => 1
[2,4,1,5,3,6,7] => [1,2,4,5,3,6,7] => 1
[2,4,1,5,3,7,6] => [1,2,4,5,3,6,7] => 1
[2,4,1,5,6,3,7] => [1,2,4,5,6,3,7] => 1
[2,4,1,5,6,7,3] => [1,2,4,5,6,7,3] => 0
[2,4,1,5,7,3,6] => [1,2,4,5,7,6,3] => 0
[2,4,1,5,7,6,3] => [1,2,4,5,7,3,6] => 1
[2,4,1,6,3,5,7] => [1,2,4,6,5,3,7] => 1
[2,4,1,6,3,7,5] => [1,2,4,6,7,5,3] => 0
[2,4,1,6,5,3,7] => [1,2,4,6,3,5,7] => 1
[2,4,1,6,5,7,3] => [1,2,4,6,7,3,5] => 1
[2,4,1,6,7,3,5] => [1,2,4,6,3,5,7] => 1
[2,4,1,6,7,5,3] => [1,2,4,6,5,7,3] => 1
[2,4,1,7,3,5,6] => [1,2,4,7,6,5,3] => 0
[2,4,1,7,3,6,5] => [1,2,4,7,5,3,6] => 1
[2,4,1,7,5,3,6] => [1,2,4,7,6,3,5] => 1
[2,4,1,7,5,6,3] => [1,2,4,7,3,5,6] => 1
[2,4,1,7,6,3,5] => [1,2,4,7,5,6,3] => 1
[2,4,1,7,6,5,3] => [1,2,4,7,3,5,6] => 1
[2,4,3,1,5,6,7] => [1,2,4,3,5,6,7] => 1
[2,4,3,1,5,7,6] => [1,2,4,3,5,6,7] => 1
[2,4,3,1,6,5,7] => [1,2,4,3,5,6,7] => 1
[2,4,3,1,6,7,5] => [1,2,4,3,5,6,7] => 1
[2,4,3,1,7,5,6] => [1,2,4,3,5,7,6] => 1
[2,4,3,1,7,6,5] => [1,2,4,3,5,7,6] => 1
[2,4,3,5,1,6,7] => [1,2,4,5,3,6,7] => 1
[2,4,3,5,1,7,6] => [1,2,4,5,3,6,7] => 1
[2,4,3,5,6,1,7] => [1,2,4,5,6,3,7] => 1
[2,4,3,5,6,7,1] => [1,2,4,5,6,7,3] => 0
[2,4,3,5,7,1,6] => [1,2,4,5,7,6,3] => 0
[2,4,3,5,7,6,1] => [1,2,4,5,7,3,6] => 1
[2,4,3,6,1,5,7] => [1,2,4,6,5,3,7] => 1
[2,4,3,6,1,7,5] => [1,2,4,6,7,5,3] => 0
[2,4,3,6,5,1,7] => [1,2,4,6,3,5,7] => 1
[2,4,3,6,5,7,1] => [1,2,4,6,7,3,5] => 1
[2,4,3,6,7,1,5] => [1,2,4,6,3,5,7] => 1
[2,4,3,6,7,5,1] => [1,2,4,6,5,7,3] => 1
[2,4,3,7,1,5,6] => [1,2,4,7,6,5,3] => 0
[2,4,3,7,1,6,5] => [1,2,4,7,5,3,6] => 1
[2,4,3,7,5,1,6] => [1,2,4,7,6,3,5] => 1
[2,4,3,7,5,6,1] => [1,2,4,7,3,5,6] => 1
[2,4,3,7,6,1,5] => [1,2,4,7,5,6,3] => 1
[2,4,3,7,6,5,1] => [1,2,4,7,3,5,6] => 1
[2,4,5,1,3,6,7] => [1,2,4,3,5,6,7] => 1
[2,4,5,1,3,7,6] => [1,2,4,3,5,6,7] => 1
[2,4,5,1,6,3,7] => [1,2,4,3,5,6,7] => 1
[2,4,5,1,6,7,3] => [1,2,4,3,5,6,7] => 1
[2,4,5,1,7,3,6] => [1,2,4,3,5,7,6] => 1
[2,4,5,1,7,6,3] => [1,2,4,3,5,7,6] => 1
[2,4,5,3,1,6,7] => [1,2,4,3,5,6,7] => 1
[2,4,5,3,1,7,6] => [1,2,4,3,5,6,7] => 1
[2,4,5,3,6,1,7] => [1,2,4,3,5,6,7] => 1
[2,4,5,3,6,7,1] => [1,2,4,3,5,6,7] => 1
[2,4,5,3,7,1,6] => [1,2,4,3,5,7,6] => 1
[2,4,5,3,7,6,1] => [1,2,4,3,5,7,6] => 1
[2,4,5,6,1,3,7] => [1,2,4,6,3,5,7] => 1
[2,4,5,6,1,7,3] => [1,2,4,6,7,3,5] => 1
[2,4,5,6,3,1,7] => [1,2,4,6,3,5,7] => 1
[2,4,5,6,3,7,1] => [1,2,4,6,7,3,5] => 1
[2,4,5,6,7,1,3] => [1,2,4,6,3,5,7] => 1
[2,4,5,6,7,3,1] => [1,2,4,6,3,5,7] => 1
[2,4,5,7,1,3,6] => [1,2,4,7,6,3,5] => 1
[2,4,5,7,1,6,3] => [1,2,4,7,3,5,6] => 1
[2,4,5,7,3,1,6] => [1,2,4,7,6,3,5] => 1
[2,4,5,7,3,6,1] => [1,2,4,7,3,5,6] => 1
[2,4,5,7,6,1,3] => [1,2,4,7,3,5,6] => 1
[2,4,5,7,6,3,1] => [1,2,4,7,3,5,6] => 1
[2,4,6,1,3,5,7] => [1,2,4,3,6,5,7] => 2
[2,4,6,1,3,7,5] => [1,2,4,3,6,7,5] => 1
[2,4,6,1,5,3,7] => [1,2,4,3,6,5,7] => 2
[2,4,6,1,5,7,3] => [1,2,4,3,6,7,5] => 1
[2,4,6,1,7,3,5] => [1,2,4,3,6,5,7] => 2
[2,4,6,1,7,5,3] => [1,2,4,3,6,5,7] => 2
[2,4,6,3,1,5,7] => [1,2,4,3,6,5,7] => 2
[2,4,6,3,1,7,5] => [1,2,4,3,6,7,5] => 1
[2,4,6,3,5,1,7] => [1,2,4,3,6,5,7] => 2
[2,4,6,3,5,7,1] => [1,2,4,3,6,7,5] => 1
[2,4,6,3,7,1,5] => [1,2,4,3,6,5,7] => 2
[2,4,6,3,7,5,1] => [1,2,4,3,6,5,7] => 2
[2,4,6,5,1,3,7] => [1,2,4,5,3,6,7] => 1
[2,4,6,5,1,7,3] => [1,2,4,5,3,6,7] => 1
[2,4,6,5,3,1,7] => [1,2,4,5,3,6,7] => 1
[2,4,6,5,3,7,1] => [1,2,4,5,3,6,7] => 1
[2,4,6,5,7,1,3] => [1,2,4,5,7,3,6] => 1
[2,4,6,5,7,3,1] => [1,2,4,5,7,3,6] => 1
[2,4,6,7,1,3,5] => [1,2,4,7,5,3,6] => 1
[2,4,6,7,1,5,3] => [1,2,4,7,3,6,5] => 1
[2,4,6,7,3,1,5] => [1,2,4,7,5,3,6] => 1
[2,4,6,7,3,5,1] => [1,2,4,7,3,6,5] => 1
[2,4,6,7,5,1,3] => [1,2,4,7,3,6,5] => 1
[2,4,6,7,5,3,1] => [1,2,4,7,3,6,5] => 1
[2,4,7,1,3,5,6] => [1,2,4,3,7,6,5] => 1
[2,4,7,1,3,6,5] => [1,2,4,3,7,5,6] => 2
[2,4,7,1,5,3,6] => [1,2,4,3,7,6,5] => 1
[2,4,7,1,5,6,3] => [1,2,4,3,7,5,6] => 2
[2,4,7,1,6,3,5] => [1,2,4,3,7,5,6] => 2
[2,4,7,1,6,5,3] => [1,2,4,3,7,5,6] => 2
[2,4,7,3,1,5,6] => [1,2,4,3,7,6,5] => 1
[2,4,7,3,1,6,5] => [1,2,4,3,7,5,6] => 2
[2,4,7,3,5,1,6] => [1,2,4,3,7,6,5] => 1
[2,4,7,3,5,6,1] => [1,2,4,3,7,5,6] => 2
[2,4,7,3,6,1,5] => [1,2,4,3,7,5,6] => 2
[2,4,7,3,6,5,1] => [1,2,4,3,7,5,6] => 2
[2,4,7,5,1,3,6] => [1,2,4,5,3,7,6] => 1
[2,4,7,5,1,6,3] => [1,2,4,5,3,7,6] => 1
[2,4,7,5,3,1,6] => [1,2,4,5,3,7,6] => 1
[2,4,7,5,3,6,1] => [1,2,4,5,3,7,6] => 1
[2,4,7,5,6,1,3] => [1,2,4,5,6,3,7] => 1
[2,4,7,5,6,3,1] => [1,2,4,5,6,3,7] => 1
[2,4,7,6,1,3,5] => [1,2,4,6,3,7,5] => 1
[2,4,7,6,1,5,3] => [1,2,4,6,5,3,7] => 1
[2,4,7,6,3,1,5] => [1,2,4,6,3,7,5] => 1
[2,4,7,6,3,5,1] => [1,2,4,6,5,3,7] => 1
[2,4,7,6,5,1,3] => [1,2,4,6,3,7,5] => 1
[2,4,7,6,5,3,1] => [1,2,4,6,3,7,5] => 1
[2,5,1,3,4,6,7] => [1,2,5,4,3,6,7] => 1
[2,5,1,3,4,7,6] => [1,2,5,4,3,6,7] => 1
[2,5,1,3,6,4,7] => [1,2,5,6,4,3,7] => 1
[2,5,1,3,6,7,4] => [1,2,5,6,7,4,3] => 0
[2,5,1,3,7,4,6] => [1,2,5,7,6,4,3] => 0
[2,5,1,3,7,6,4] => [1,2,5,7,4,3,6] => 1
[2,5,1,4,3,6,7] => [1,2,5,3,4,6,7] => 1
[2,5,1,4,3,7,6] => [1,2,5,3,4,6,7] => 1
[2,5,1,4,6,3,7] => [1,2,5,6,3,4,7] => 1
[2,5,1,4,6,7,3] => [1,2,5,6,7,3,4] => 1
[2,5,1,4,7,3,6] => [1,2,5,7,6,3,4] => 1
[2,5,1,4,7,6,3] => [1,2,5,7,3,4,6] => 1
[2,5,1,6,3,4,7] => [1,2,5,3,4,6,7] => 1
[2,5,1,6,3,7,4] => [1,2,5,3,4,6,7] => 1
[2,5,1,6,4,3,7] => [1,2,5,4,6,3,7] => 2
[2,5,1,6,4,7,3] => [1,2,5,4,6,7,3] => 1
[2,5,1,6,7,3,4] => [1,2,5,7,4,6,3] => 1
[2,5,1,6,7,4,3] => [1,2,5,7,3,4,6] => 1
[2,5,1,7,3,4,6] => [1,2,5,3,4,7,6] => 1
[2,5,1,7,3,6,4] => [1,2,5,3,4,7,6] => 1
[2,5,1,7,4,3,6] => [1,2,5,4,7,6,3] => 1
[2,5,1,7,4,6,3] => [1,2,5,4,7,3,6] => 2
[2,5,1,7,6,3,4] => [1,2,5,6,3,4,7] => 1
[2,5,1,7,6,4,3] => [1,2,5,6,4,7,3] => 1
[2,5,3,1,4,6,7] => [1,2,5,4,3,6,7] => 1
[2,5,3,1,4,7,6] => [1,2,5,4,3,6,7] => 1
[2,5,3,1,6,4,7] => [1,2,5,6,4,3,7] => 1
[2,5,3,1,6,7,4] => [1,2,5,6,7,4,3] => 0
[2,5,3,1,7,4,6] => [1,2,5,7,6,4,3] => 0
[2,5,3,1,7,6,4] => [1,2,5,7,4,3,6] => 1
[2,5,3,4,1,6,7] => [1,2,5,3,4,6,7] => 1
[2,5,3,4,1,7,6] => [1,2,5,3,4,6,7] => 1
[2,5,3,4,6,1,7] => [1,2,5,6,3,4,7] => 1
[2,5,3,4,6,7,1] => [1,2,5,6,7,3,4] => 1
[2,5,3,4,7,1,6] => [1,2,5,7,6,3,4] => 1
[2,5,3,4,7,6,1] => [1,2,5,7,3,4,6] => 1
[2,5,3,6,1,4,7] => [1,2,5,3,4,6,7] => 1
[2,5,3,6,1,7,4] => [1,2,5,3,4,6,7] => 1
[2,5,3,6,4,1,7] => [1,2,5,4,6,3,7] => 2
[2,5,3,6,4,7,1] => [1,2,5,4,6,7,3] => 1
[2,5,3,6,7,1,4] => [1,2,5,7,4,6,3] => 1
[2,5,3,6,7,4,1] => [1,2,5,7,3,4,6] => 1
[2,5,3,7,1,4,6] => [1,2,5,3,4,7,6] => 1
[2,5,3,7,1,6,4] => [1,2,5,3,4,7,6] => 1
[2,5,3,7,4,1,6] => [1,2,5,4,7,6,3] => 1
[2,5,3,7,4,6,1] => [1,2,5,4,7,3,6] => 2
[2,5,3,7,6,1,4] => [1,2,5,6,3,4,7] => 1
[2,5,3,7,6,4,1] => [1,2,5,6,4,7,3] => 1
[2,5,4,1,3,6,7] => [1,2,5,3,4,6,7] => 1
[2,5,4,1,3,7,6] => [1,2,5,3,4,6,7] => 1
[2,5,4,1,6,3,7] => [1,2,5,6,3,4,7] => 1
[2,5,4,1,6,7,3] => [1,2,5,6,7,3,4] => 1
[2,5,4,1,7,3,6] => [1,2,5,7,6,3,4] => 1
[2,5,4,1,7,6,3] => [1,2,5,7,3,4,6] => 1
[2,5,4,3,1,6,7] => [1,2,5,3,4,6,7] => 1
[2,5,4,3,1,7,6] => [1,2,5,3,4,6,7] => 1
[2,5,4,3,6,1,7] => [1,2,5,6,3,4,7] => 1
[2,5,4,3,6,7,1] => [1,2,5,6,7,3,4] => 1
[2,5,4,3,7,1,6] => [1,2,5,7,6,3,4] => 1
[2,5,4,3,7,6,1] => [1,2,5,7,3,4,6] => 1
[2,5,4,6,1,3,7] => [1,2,5,3,4,6,7] => 1
[2,5,4,6,1,7,3] => [1,2,5,3,4,6,7] => 1
[2,5,4,6,3,1,7] => [1,2,5,3,4,6,7] => 1
[2,5,4,6,3,7,1] => [1,2,5,3,4,6,7] => 1
[2,5,4,6,7,1,3] => [1,2,5,7,3,4,6] => 1
[2,5,4,6,7,3,1] => [1,2,5,7,3,4,6] => 1
[2,5,4,7,1,3,6] => [1,2,5,3,4,7,6] => 1
[2,5,4,7,1,6,3] => [1,2,5,3,4,7,6] => 1
[2,5,4,7,3,1,6] => [1,2,5,3,4,7,6] => 1
[2,5,4,7,3,6,1] => [1,2,5,3,4,7,6] => 1
[2,5,4,7,6,1,3] => [1,2,5,6,3,4,7] => 1
[2,5,4,7,6,3,1] => [1,2,5,6,3,4,7] => 1
[2,5,6,1,3,4,7] => [1,2,5,3,6,4,7] => 2
[2,5,6,1,3,7,4] => [1,2,5,3,6,7,4] => 1
[2,5,6,1,4,3,7] => [1,2,5,4,3,6,7] => 1
[2,5,6,1,4,7,3] => [1,2,5,4,3,6,7] => 1
[2,5,6,1,7,3,4] => [1,2,5,7,4,3,6] => 1
[2,5,6,1,7,4,3] => [1,2,5,7,3,6,4] => 1
[2,5,6,3,1,4,7] => [1,2,5,3,6,4,7] => 2
[2,5,6,3,1,7,4] => [1,2,5,3,6,7,4] => 1
[2,5,6,3,4,1,7] => [1,2,5,4,3,6,7] => 1
[2,5,6,3,4,7,1] => [1,2,5,4,3,6,7] => 1
[2,5,6,3,7,1,4] => [1,2,5,7,4,3,6] => 1
[2,5,6,3,7,4,1] => [1,2,5,7,3,6,4] => 1
[2,5,6,4,1,3,7] => [1,2,5,3,6,4,7] => 2
[2,5,6,4,1,7,3] => [1,2,5,3,6,7,4] => 1
[2,5,6,4,3,1,7] => [1,2,5,3,6,4,7] => 2
[2,5,6,4,3,7,1] => [1,2,5,3,6,7,4] => 1
[2,5,6,4,7,1,3] => [1,2,5,7,3,6,4] => 1
[2,5,6,4,7,3,1] => [1,2,5,7,3,6,4] => 1
[2,5,6,7,1,3,4] => [1,2,5,3,6,4,7] => 2
[2,5,6,7,1,4,3] => [1,2,5,3,6,4,7] => 2
[2,5,6,7,3,1,4] => [1,2,5,3,6,4,7] => 2
[2,5,6,7,3,4,1] => [1,2,5,3,6,4,7] => 2
[2,5,6,7,4,1,3] => [1,2,5,4,7,3,6] => 2
[2,5,6,7,4,3,1] => [1,2,5,4,7,3,6] => 2
[2,5,7,1,3,4,6] => [1,2,5,3,7,6,4] => 1
[2,5,7,1,3,6,4] => [1,2,5,3,7,4,6] => 2
[2,5,7,1,4,3,6] => [1,2,5,4,3,7,6] => 1
[2,5,7,1,4,6,3] => [1,2,5,4,3,7,6] => 1
[2,5,7,1,6,3,4] => [1,2,5,6,3,7,4] => 1
[2,5,7,1,6,4,3] => [1,2,5,6,4,3,7] => 1
[2,5,7,3,1,4,6] => [1,2,5,3,7,6,4] => 1
[2,5,7,3,1,6,4] => [1,2,5,3,7,4,6] => 2
[2,5,7,3,4,1,6] => [1,2,5,4,3,7,6] => 1
[2,5,7,3,4,6,1] => [1,2,5,4,3,7,6] => 1
[2,5,7,3,6,1,4] => [1,2,5,6,3,7,4] => 1
[2,5,7,3,6,4,1] => [1,2,5,6,4,3,7] => 1
[2,5,7,4,1,3,6] => [1,2,5,3,7,6,4] => 1
[2,5,7,4,1,6,3] => [1,2,5,3,7,4,6] => 2
[2,5,7,4,3,1,6] => [1,2,5,3,7,6,4] => 1
[2,5,7,4,3,6,1] => [1,2,5,3,7,4,6] => 2
[2,5,7,4,6,1,3] => [1,2,5,6,3,7,4] => 1
[2,5,7,4,6,3,1] => [1,2,5,6,3,7,4] => 1
[2,5,7,6,1,3,4] => [1,2,5,3,7,4,6] => 2
[2,5,7,6,1,4,3] => [1,2,5,3,7,4,6] => 2
[2,5,7,6,3,1,4] => [1,2,5,3,7,4,6] => 2
[2,5,7,6,3,4,1] => [1,2,5,3,7,4,6] => 2
[2,5,7,6,4,1,3] => [1,2,5,4,6,3,7] => 2
[2,5,7,6,4,3,1] => [1,2,5,4,6,3,7] => 2
[2,6,1,3,4,5,7] => [1,2,6,5,4,3,7] => 1
[2,6,1,3,4,7,5] => [1,2,6,7,5,4,3] => 0
[2,6,1,3,5,4,7] => [1,2,6,4,3,5,7] => 1
[2,6,1,3,5,7,4] => [1,2,6,7,4,3,5] => 1
[2,6,1,3,7,4,5] => [1,2,6,4,3,5,7] => 1
[2,6,1,3,7,5,4] => [1,2,6,5,7,4,3] => 1
[2,6,1,4,3,5,7] => [1,2,6,5,3,4,7] => 1
[2,6,1,4,3,7,5] => [1,2,6,7,5,3,4] => 1
[2,6,1,4,5,3,7] => [1,2,6,3,4,5,7] => 1
[2,6,1,4,5,7,3] => [1,2,6,7,3,4,5] => 1
[2,6,1,4,7,3,5] => [1,2,6,3,4,5,7] => 1
[2,6,1,4,7,5,3] => [1,2,6,5,7,3,4] => 2
[2,6,1,5,3,4,7] => [1,2,6,4,5,3,7] => 2
[2,6,1,5,3,7,4] => [1,2,6,7,4,5,3] => 1
[2,6,1,5,4,3,7] => [1,2,6,3,4,5,7] => 1
[2,6,1,5,4,7,3] => [1,2,6,7,3,4,5] => 1
[2,6,1,5,7,3,4] => [1,2,6,3,4,5,7] => 1
[2,6,1,5,7,4,3] => [1,2,6,4,5,7,3] => 1
[2,6,1,7,3,4,5] => [1,2,6,4,7,5,3] => 1
[2,6,1,7,3,5,4] => [1,2,6,5,3,4,7] => 1
[2,6,1,7,4,3,5] => [1,2,6,3,4,7,5] => 1
[2,6,1,7,4,5,3] => [1,2,6,5,4,7,3] => 1
[2,6,1,7,5,3,4] => [1,2,6,3,4,7,5] => 1
[2,6,1,7,5,4,3] => [1,2,6,4,7,3,5] => 2
[2,6,3,1,4,5,7] => [1,2,6,5,4,3,7] => 1
[2,6,3,1,4,7,5] => [1,2,6,7,5,4,3] => 0
[2,6,3,1,5,4,7] => [1,2,6,4,3,5,7] => 1
[2,6,3,1,5,7,4] => [1,2,6,7,4,3,5] => 1
[2,6,3,1,7,4,5] => [1,2,6,4,3,5,7] => 1
[2,6,3,1,7,5,4] => [1,2,6,5,7,4,3] => 1
[2,6,3,4,1,5,7] => [1,2,6,5,3,4,7] => 1
[2,6,3,4,1,7,5] => [1,2,6,7,5,3,4] => 1
[2,6,3,4,5,1,7] => [1,2,6,3,4,5,7] => 1
[2,6,3,4,5,7,1] => [1,2,6,7,3,4,5] => 1
[2,6,3,4,7,1,5] => [1,2,6,3,4,5,7] => 1
[2,6,3,4,7,5,1] => [1,2,6,5,7,3,4] => 2
[2,6,3,5,1,4,7] => [1,2,6,4,5,3,7] => 2
[2,6,3,5,1,7,4] => [1,2,6,7,4,5,3] => 1
[2,6,3,5,4,1,7] => [1,2,6,3,4,5,7] => 1
[2,6,3,5,4,7,1] => [1,2,6,7,3,4,5] => 1
[2,6,3,5,7,1,4] => [1,2,6,3,4,5,7] => 1
[2,6,3,5,7,4,1] => [1,2,6,4,5,7,3] => 1
[2,6,3,7,1,4,5] => [1,2,6,4,7,5,3] => 1
[2,6,3,7,1,5,4] => [1,2,6,5,3,4,7] => 1
[2,6,3,7,4,1,5] => [1,2,6,3,4,7,5] => 1
[2,6,3,7,4,5,1] => [1,2,6,5,4,7,3] => 1
[2,6,3,7,5,1,4] => [1,2,6,3,4,7,5] => 1
[2,6,3,7,5,4,1] => [1,2,6,4,7,3,5] => 2
[2,6,4,1,3,5,7] => [1,2,6,5,3,4,7] => 1
[2,6,4,1,3,7,5] => [1,2,6,7,5,3,4] => 1
[2,6,4,1,5,3,7] => [1,2,6,3,4,5,7] => 1
[2,6,4,1,5,7,3] => [1,2,6,7,3,4,5] => 1
[2,6,4,1,7,3,5] => [1,2,6,3,4,5,7] => 1
[2,6,4,1,7,5,3] => [1,2,6,5,7,3,4] => 2
[2,6,4,3,1,5,7] => [1,2,6,5,3,4,7] => 1
[2,6,4,3,1,7,5] => [1,2,6,7,5,3,4] => 1
[2,6,4,3,5,1,7] => [1,2,6,3,4,5,7] => 1
[2,6,4,3,5,7,1] => [1,2,6,7,3,4,5] => 1
[2,6,4,3,7,1,5] => [1,2,6,3,4,5,7] => 1
[2,6,4,3,7,5,1] => [1,2,6,5,7,3,4] => 2
[2,6,4,5,1,3,7] => [1,2,6,3,4,5,7] => 1
[2,6,4,5,1,7,3] => [1,2,6,7,3,4,5] => 1
[2,6,4,5,3,1,7] => [1,2,6,3,4,5,7] => 1
[2,6,4,5,3,7,1] => [1,2,6,7,3,4,5] => 1
[2,6,4,5,7,1,3] => [1,2,6,3,4,5,7] => 1
[2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => 1
[2,6,4,7,1,3,5] => [1,2,6,3,4,7,5] => 1
[2,6,4,7,1,5,3] => [1,2,6,5,3,4,7] => 1
[2,6,4,7,3,1,5] => [1,2,6,3,4,7,5] => 1
[2,6,4,7,3,5,1] => [1,2,6,5,3,4,7] => 1
[2,6,4,7,5,1,3] => [1,2,6,3,4,7,5] => 1
[2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => 1
[2,6,5,1,3,4,7] => [1,2,6,4,3,5,7] => 1
[2,6,5,1,3,7,4] => [1,2,6,7,4,3,5] => 1
[2,6,5,1,4,3,7] => [1,2,6,3,5,4,7] => 2
[2,6,5,1,4,7,3] => [1,2,6,7,3,5,4] => 1
[2,6,5,1,7,3,4] => [1,2,6,3,5,7,4] => 1
[2,6,5,1,7,4,3] => [1,2,6,4,3,5,7] => 1
[2,6,5,3,1,4,7] => [1,2,6,4,3,5,7] => 1
[2,6,5,3,1,7,4] => [1,2,6,7,4,3,5] => 1
[2,6,5,3,4,1,7] => [1,2,6,3,5,4,7] => 2
[2,6,5,3,4,7,1] => [1,2,6,7,3,5,4] => 1
[2,6,5,3,7,1,4] => [1,2,6,3,5,7,4] => 1
[2,6,5,3,7,4,1] => [1,2,6,4,3,5,7] => 1
[2,6,5,4,1,3,7] => [1,2,6,3,5,4,7] => 2
[2,6,5,4,1,7,3] => [1,2,6,7,3,5,4] => 1
[2,6,5,4,3,1,7] => [1,2,6,3,5,4,7] => 2
[2,6,5,4,3,7,1] => [1,2,6,7,3,5,4] => 1
[2,6,5,4,7,1,3] => [1,2,6,3,5,7,4] => 1
[2,6,5,4,7,3,1] => [1,2,6,3,5,7,4] => 1
[2,6,5,7,1,3,4] => [1,2,6,3,5,4,7] => 2
[2,6,5,7,1,4,3] => [1,2,6,4,7,3,5] => 2
[2,6,5,7,3,1,4] => [1,2,6,3,5,4,7] => 2
[2,6,5,7,3,4,1] => [1,2,6,4,7,3,5] => 2
[2,6,5,7,4,1,3] => [1,2,6,3,5,4,7] => 2
[2,6,5,7,4,3,1] => [1,2,6,3,5,4,7] => 2
[2,6,7,1,3,4,5] => [1,2,6,4,3,7,5] => 1
[2,6,7,1,3,5,4] => [1,2,6,5,3,7,4] => 1
[2,6,7,1,4,3,5] => [1,2,6,3,7,5,4] => 1
[2,6,7,1,4,5,3] => [1,2,6,5,4,3,7] => 1
[2,6,7,1,5,3,4] => [1,2,6,3,7,4,5] => 2
[2,6,7,1,5,4,3] => [1,2,6,4,3,7,5] => 1
[2,6,7,3,1,4,5] => [1,2,6,4,3,7,5] => 1
[2,6,7,3,1,5,4] => [1,2,6,5,3,7,4] => 1
[2,6,7,3,4,1,5] => [1,2,6,3,7,5,4] => 1
[2,6,7,3,4,5,1] => [1,2,6,5,4,3,7] => 1
[2,6,7,3,5,1,4] => [1,2,6,3,7,4,5] => 2
[2,6,7,3,5,4,1] => [1,2,6,4,3,7,5] => 1
[2,6,7,4,1,3,5] => [1,2,6,3,7,5,4] => 1
[2,6,7,4,1,5,3] => [1,2,6,5,3,7,4] => 1
[2,6,7,4,3,1,5] => [1,2,6,3,7,5,4] => 1
[2,6,7,4,3,5,1] => [1,2,6,5,3,7,4] => 1
[2,6,7,4,5,1,3] => [1,2,6,3,7,4,5] => 2
[2,6,7,4,5,3,1] => [1,2,6,3,7,4,5] => 2
[2,6,7,5,1,3,4] => [1,2,6,3,7,4,5] => 2
[2,6,7,5,1,4,3] => [1,2,6,4,5,3,7] => 2
[2,6,7,5,3,1,4] => [1,2,6,3,7,4,5] => 2
[2,6,7,5,3,4,1] => [1,2,6,4,5,3,7] => 2
[2,6,7,5,4,1,3] => [1,2,6,3,7,4,5] => 2
[2,6,7,5,4,3,1] => [1,2,6,3,7,4,5] => 2
[2,7,1,3,4,5,6] => [1,2,7,6,5,4,3] => 0
[2,7,1,3,4,6,5] => [1,2,7,5,4,3,6] => 1
[2,7,1,3,5,4,6] => [1,2,7,6,4,3,5] => 1
[2,7,1,3,5,6,4] => [1,2,7,4,3,5,6] => 1
[2,7,1,3,6,4,5] => [1,2,7,5,6,4,3] => 1
[2,7,1,3,6,5,4] => [1,2,7,4,3,5,6] => 1
[2,7,1,4,3,5,6] => [1,2,7,6,5,3,4] => 1
[2,7,1,4,3,6,5] => [1,2,7,5,3,4,6] => 1
[2,7,1,4,5,3,6] => [1,2,7,6,3,4,5] => 1
[2,7,1,4,5,6,3] => [1,2,7,3,4,5,6] => 1
[2,7,1,4,6,3,5] => [1,2,7,5,6,3,4] => 2
[2,7,1,4,6,5,3] => [1,2,7,3,4,5,6] => 1
[2,7,1,5,3,4,6] => [1,2,7,6,4,5,3] => 1
[2,7,1,5,3,6,4] => [1,2,7,4,5,3,6] => 2
[2,7,1,5,4,3,6] => [1,2,7,6,3,4,5] => 1
[2,7,1,5,4,6,3] => [1,2,7,3,4,5,6] => 1
[2,7,1,5,6,3,4] => [1,2,7,4,5,6,3] => 1
[2,7,1,5,6,4,3] => [1,2,7,3,4,5,6] => 1
[2,7,1,6,3,4,5] => [1,2,7,5,3,4,6] => 1
[2,7,1,6,3,5,4] => [1,2,7,4,6,5,3] => 1
[2,7,1,6,4,3,5] => [1,2,7,5,4,6,3] => 1
[2,7,1,6,4,5,3] => [1,2,7,3,4,6,5] => 1
[2,7,1,6,5,3,4] => [1,2,7,4,6,3,5] => 2
[2,7,1,6,5,4,3] => [1,2,7,3,4,6,5] => 1
[2,7,3,1,4,5,6] => [1,2,7,6,5,4,3] => 0
[2,7,3,1,4,6,5] => [1,2,7,5,4,3,6] => 1
[2,7,3,1,5,4,6] => [1,2,7,6,4,3,5] => 1
[2,7,3,1,5,6,4] => [1,2,7,4,3,5,6] => 1
[2,7,3,1,6,4,5] => [1,2,7,5,6,4,3] => 1
[2,7,3,1,6,5,4] => [1,2,7,4,3,5,6] => 1
[2,7,3,4,1,5,6] => [1,2,7,6,5,3,4] => 1
[2,7,3,4,1,6,5] => [1,2,7,5,3,4,6] => 1
[2,7,3,4,5,1,6] => [1,2,7,6,3,4,5] => 1
[2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => 1
[2,7,3,4,6,1,5] => [1,2,7,5,6,3,4] => 2
[2,7,3,4,6,5,1] => [1,2,7,3,4,5,6] => 1
[2,7,3,5,1,4,6] => [1,2,7,6,4,5,3] => 1
[2,7,3,5,1,6,4] => [1,2,7,4,5,3,6] => 2
[2,7,3,5,4,1,6] => [1,2,7,6,3,4,5] => 1
[2,7,3,5,4,6,1] => [1,2,7,3,4,5,6] => 1
[2,7,3,5,6,1,4] => [1,2,7,4,5,6,3] => 1
[2,7,3,5,6,4,1] => [1,2,7,3,4,5,6] => 1
[2,7,3,6,1,4,5] => [1,2,7,5,3,4,6] => 1
[2,7,3,6,1,5,4] => [1,2,7,4,6,5,3] => 1
[2,7,3,6,4,1,5] => [1,2,7,5,4,6,3] => 1
[2,7,3,6,4,5,1] => [1,2,7,3,4,6,5] => 1
[2,7,3,6,5,1,4] => [1,2,7,4,6,3,5] => 2
[2,7,3,6,5,4,1] => [1,2,7,3,4,6,5] => 1
[2,7,4,1,3,5,6] => [1,2,7,6,5,3,4] => 1
[2,7,4,1,3,6,5] => [1,2,7,5,3,4,6] => 1
[2,7,4,1,5,3,6] => [1,2,7,6,3,4,5] => 1
[2,7,4,1,5,6,3] => [1,2,7,3,4,5,6] => 1
[2,7,4,1,6,3,5] => [1,2,7,5,6,3,4] => 2
[2,7,4,1,6,5,3] => [1,2,7,3,4,5,6] => 1
[2,7,4,3,1,5,6] => [1,2,7,6,5,3,4] => 1
[2,7,4,3,1,6,5] => [1,2,7,5,3,4,6] => 1
[2,7,4,3,5,1,6] => [1,2,7,6,3,4,5] => 1
[2,7,4,3,5,6,1] => [1,2,7,3,4,5,6] => 1
[2,7,4,3,6,1,5] => [1,2,7,5,6,3,4] => 2
[2,7,4,3,6,5,1] => [1,2,7,3,4,5,6] => 1
[2,7,4,5,1,3,6] => [1,2,7,6,3,4,5] => 1
[2,7,4,5,1,6,3] => [1,2,7,3,4,5,6] => 1
[2,7,4,5,3,1,6] => [1,2,7,6,3,4,5] => 1
[2,7,4,5,3,6,1] => [1,2,7,3,4,5,6] => 1
[2,7,4,5,6,1,3] => [1,2,7,3,4,5,6] => 1
[2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => 1
[2,7,4,6,1,3,5] => [1,2,7,5,3,4,6] => 1
[2,7,4,6,1,5,3] => [1,2,7,3,4,6,5] => 1
[2,7,4,6,3,1,5] => [1,2,7,5,3,4,6] => 1
[2,7,4,6,3,5,1] => [1,2,7,3,4,6,5] => 1
[2,7,4,6,5,1,3] => [1,2,7,3,4,6,5] => 1
[2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => 1
[2,7,5,1,3,4,6] => [1,2,7,6,4,3,5] => 1
[2,7,5,1,3,6,4] => [1,2,7,4,3,5,6] => 1
[2,7,5,1,4,3,6] => [1,2,7,6,3,5,4] => 1
[2,7,5,1,4,6,3] => [1,2,7,3,5,4,6] => 2
[2,7,5,1,6,3,4] => [1,2,7,4,3,5,6] => 1
[2,7,5,1,6,4,3] => [1,2,7,3,5,6,4] => 1
[2,7,5,3,1,4,6] => [1,2,7,6,4,3,5] => 1
[2,7,5,3,1,6,4] => [1,2,7,4,3,5,6] => 1
[2,7,5,3,4,1,6] => [1,2,7,6,3,5,4] => 1
[2,7,5,3,4,6,1] => [1,2,7,3,5,4,6] => 2
[2,7,5,3,6,1,4] => [1,2,7,4,3,5,6] => 1
[2,7,5,3,6,4,1] => [1,2,7,3,5,6,4] => 1
[2,7,5,4,1,3,6] => [1,2,7,6,3,5,4] => 1
[2,7,5,4,1,6,3] => [1,2,7,3,5,4,6] => 2
[2,7,5,4,3,1,6] => [1,2,7,6,3,5,4] => 1
[2,7,5,4,3,6,1] => [1,2,7,3,5,4,6] => 2
[2,7,5,4,6,1,3] => [1,2,7,3,5,6,4] => 1
[2,7,5,4,6,3,1] => [1,2,7,3,5,6,4] => 1
[2,7,5,6,1,3,4] => [1,2,7,4,6,3,5] => 2
[2,7,5,6,1,4,3] => [1,2,7,3,5,4,6] => 2
[2,7,5,6,3,1,4] => [1,2,7,4,6,3,5] => 2
[2,7,5,6,3,4,1] => [1,2,7,3,5,4,6] => 2
[2,7,5,6,4,1,3] => [1,2,7,3,5,4,6] => 2
[2,7,5,6,4,3,1] => [1,2,7,3,5,4,6] => 2
[2,7,6,1,3,4,5] => [1,2,7,5,3,6,4] => 1
[2,7,6,1,3,5,4] => [1,2,7,4,3,6,5] => 1
[2,7,6,1,4,3,5] => [1,2,7,5,4,3,6] => 1
[2,7,6,1,4,5,3] => [1,2,7,3,6,5,4] => 1
[2,7,6,1,5,3,4] => [1,2,7,4,3,6,5] => 1
[2,7,6,1,5,4,3] => [1,2,7,3,6,4,5] => 2
[2,7,6,3,1,4,5] => [1,2,7,5,3,6,4] => 1
[2,7,6,3,1,5,4] => [1,2,7,4,3,6,5] => 1
[2,7,6,3,4,1,5] => [1,2,7,5,4,3,6] => 1
[2,7,6,3,4,5,1] => [1,2,7,3,6,5,4] => 1
[2,7,6,3,5,1,4] => [1,2,7,4,3,6,5] => 1
[2,7,6,3,5,4,1] => [1,2,7,3,6,4,5] => 2
[2,7,6,4,1,3,5] => [1,2,7,5,3,6,4] => 1
[2,7,6,4,1,5,3] => [1,2,7,3,6,5,4] => 1
[2,7,6,4,3,1,5] => [1,2,7,5,3,6,4] => 1
[2,7,6,4,3,5,1] => [1,2,7,3,6,5,4] => 1
[2,7,6,4,5,1,3] => [1,2,7,3,6,4,5] => 2
[2,7,6,4,5,3,1] => [1,2,7,3,6,4,5] => 2
[2,7,6,5,1,3,4] => [1,2,7,4,5,3,6] => 2
[2,7,6,5,1,4,3] => [1,2,7,3,6,4,5] => 2
[2,7,6,5,3,1,4] => [1,2,7,4,5,3,6] => 2
[2,7,6,5,3,4,1] => [1,2,7,3,6,4,5] => 2
[2,7,6,5,4,1,3] => [1,2,7,3,6,4,5] => 2
[2,7,6,5,4,3,1] => [1,2,7,3,6,4,5] => 2
[3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[3,1,2,4,5,7,6] => [1,3,2,4,5,6,7] => 1
[3,1,2,4,6,5,7] => [1,3,2,4,5,6,7] => 1
[3,1,2,4,6,7,5] => [1,3,2,4,5,6,7] => 1
[3,1,2,4,7,5,6] => [1,3,2,4,5,7,6] => 1
[3,1,2,4,7,6,5] => [1,3,2,4,5,7,6] => 1
[3,1,2,5,4,6,7] => [1,3,2,4,5,6,7] => 1
[3,1,2,5,4,7,6] => [1,3,2,4,5,6,7] => 1
[3,1,2,5,6,4,7] => [1,3,2,4,5,6,7] => 1
[3,1,2,5,6,7,4] => [1,3,2,4,5,6,7] => 1
[3,1,2,5,7,4,6] => [1,3,2,4,5,7,6] => 1
[3,1,2,5,7,6,4] => [1,3,2,4,5,7,6] => 1
[3,1,2,6,4,5,7] => [1,3,2,4,6,5,7] => 2
[3,1,2,6,4,7,5] => [1,3,2,4,6,7,5] => 1
[3,1,2,6,5,4,7] => [1,3,2,4,6,5,7] => 2
[3,1,2,6,5,7,4] => [1,3,2,4,6,7,5] => 1
[3,1,2,6,7,4,5] => [1,3,2,4,6,5,7] => 2
[3,1,2,6,7,5,4] => [1,3,2,4,6,5,7] => 2
[3,1,2,7,4,5,6] => [1,3,2,4,7,6,5] => 1
[3,1,2,7,4,6,5] => [1,3,2,4,7,5,6] => 2
[3,1,2,7,5,4,6] => [1,3,2,4,7,6,5] => 1
[3,1,2,7,5,6,4] => [1,3,2,4,7,5,6] => 2
[3,1,2,7,6,4,5] => [1,3,2,4,7,5,6] => 2
[3,1,2,7,6,5,4] => [1,3,2,4,7,5,6] => 2
[3,1,4,2,5,6,7] => [1,3,4,2,5,6,7] => 1
[3,1,4,2,5,7,6] => [1,3,4,2,5,6,7] => 1
[3,1,4,2,6,5,7] => [1,3,4,2,5,6,7] => 1
[3,1,4,2,6,7,5] => [1,3,4,2,5,6,7] => 1
[3,1,4,2,7,5,6] => [1,3,4,2,5,7,6] => 1
[3,1,4,2,7,6,5] => [1,3,4,2,5,7,6] => 1
[3,1,4,5,2,6,7] => [1,3,4,5,2,6,7] => 1
[3,1,4,5,2,7,6] => [1,3,4,5,2,6,7] => 1
[3,1,4,5,6,2,7] => [1,3,4,5,6,2,7] => 1
[3,1,4,5,6,7,2] => [1,3,4,5,6,7,2] => 0
[3,1,4,5,7,2,6] => [1,3,4,5,7,6,2] => 0
[3,1,4,5,7,6,2] => [1,3,4,5,7,2,6] => 1
[3,1,4,6,2,5,7] => [1,3,4,6,5,2,7] => 1
[3,1,4,6,2,7,5] => [1,3,4,6,7,5,2] => 0
[3,1,4,6,5,2,7] => [1,3,4,6,2,5,7] => 1
[3,1,4,6,5,7,2] => [1,3,4,6,7,2,5] => 1
[3,1,4,6,7,2,5] => [1,3,4,6,2,5,7] => 1
[3,1,4,6,7,5,2] => [1,3,4,6,5,7,2] => 1
[3,1,4,7,2,5,6] => [1,3,4,7,6,5,2] => 0
[3,1,4,7,2,6,5] => [1,3,4,7,5,2,6] => 1
[3,1,4,7,5,2,6] => [1,3,4,7,6,2,5] => 1
[3,1,4,7,5,6,2] => [1,3,4,7,2,5,6] => 1
[3,1,4,7,6,2,5] => [1,3,4,7,5,6,2] => 1
[3,1,4,7,6,5,2] => [1,3,4,7,2,5,6] => 1
[3,1,5,2,4,6,7] => [1,3,5,4,2,6,7] => 1
[3,1,5,2,4,7,6] => [1,3,5,4,2,6,7] => 1
[3,1,5,2,6,4,7] => [1,3,5,6,4,2,7] => 1
[3,1,5,2,6,7,4] => [1,3,5,6,7,4,2] => 0
[3,1,5,2,7,4,6] => [1,3,5,7,6,4,2] => 0
[3,1,5,2,7,6,4] => [1,3,5,7,4,2,6] => 1
[3,1,5,4,2,6,7] => [1,3,5,2,4,6,7] => 1
[3,1,5,4,2,7,6] => [1,3,5,2,4,6,7] => 1
[3,1,5,4,6,2,7] => [1,3,5,6,2,4,7] => 1
[3,1,5,4,6,7,2] => [1,3,5,6,7,2,4] => 1
[3,1,5,4,7,2,6] => [1,3,5,7,6,2,4] => 1
[3,1,5,4,7,6,2] => [1,3,5,7,2,4,6] => 1
[3,1,5,6,2,4,7] => [1,3,5,2,4,6,7] => 1
[3,1,5,6,2,7,4] => [1,3,5,2,4,6,7] => 1
[3,1,5,6,4,2,7] => [1,3,5,4,6,2,7] => 2
[3,1,5,6,4,7,2] => [1,3,5,4,6,7,2] => 1
[3,1,5,6,7,2,4] => [1,3,5,7,4,6,2] => 1
[3,1,5,6,7,4,2] => [1,3,5,7,2,4,6] => 1
[3,1,5,7,2,4,6] => [1,3,5,2,4,7,6] => 1
[3,1,5,7,2,6,4] => [1,3,5,2,4,7,6] => 1
[3,1,5,7,4,2,6] => [1,3,5,4,7,6,2] => 1
[3,1,5,7,4,6,2] => [1,3,5,4,7,2,6] => 2
[3,1,5,7,6,2,4] => [1,3,5,6,2,4,7] => 1
[3,1,5,7,6,4,2] => [1,3,5,6,4,7,2] => 1
[3,1,6,2,4,5,7] => [1,3,6,5,4,2,7] => 1
[3,1,6,2,4,7,5] => [1,3,6,7,5,4,2] => 0
[3,1,6,2,5,4,7] => [1,3,6,4,2,5,7] => 1
[3,1,6,2,5,7,4] => [1,3,6,7,4,2,5] => 1
[3,1,6,2,7,4,5] => [1,3,6,4,2,5,7] => 1
[3,1,6,2,7,5,4] => [1,3,6,5,7,4,2] => 1
[3,1,6,4,2,5,7] => [1,3,6,5,2,4,7] => 1
[3,1,6,4,2,7,5] => [1,3,6,7,5,2,4] => 1
[3,1,6,4,5,2,7] => [1,3,6,2,4,5,7] => 1
[3,1,6,4,5,7,2] => [1,3,6,7,2,4,5] => 1
[3,1,6,4,7,2,5] => [1,3,6,2,4,5,7] => 1
[3,1,6,4,7,5,2] => [1,3,6,5,7,2,4] => 2
[3,1,6,5,2,4,7] => [1,3,6,4,5,2,7] => 2
[3,1,6,5,2,7,4] => [1,3,6,7,4,5,2] => 1
[3,1,6,5,4,2,7] => [1,3,6,2,4,5,7] => 1
[3,1,6,5,4,7,2] => [1,3,6,7,2,4,5] => 1
[3,1,6,5,7,2,4] => [1,3,6,2,4,5,7] => 1
[3,1,6,5,7,4,2] => [1,3,6,4,5,7,2] => 1
[3,1,6,7,2,4,5] => [1,3,6,4,7,5,2] => 1
[3,1,6,7,2,5,4] => [1,3,6,5,2,4,7] => 1
[3,1,6,7,4,2,5] => [1,3,6,2,4,7,5] => 1
[3,1,6,7,4,5,2] => [1,3,6,5,4,7,2] => 1
[3,1,6,7,5,2,4] => [1,3,6,2,4,7,5] => 1
[3,1,6,7,5,4,2] => [1,3,6,4,7,2,5] => 2
[3,1,7,2,4,5,6] => [1,3,7,6,5,4,2] => 0
[3,1,7,2,4,6,5] => [1,3,7,5,4,2,6] => 1
[3,1,7,2,5,4,6] => [1,3,7,6,4,2,5] => 1
[3,1,7,2,5,6,4] => [1,3,7,4,2,5,6] => 1
[3,1,7,2,6,4,5] => [1,3,7,5,6,4,2] => 1
[3,1,7,2,6,5,4] => [1,3,7,4,2,5,6] => 1
[3,1,7,4,2,5,6] => [1,3,7,6,5,2,4] => 1
[3,1,7,4,2,6,5] => [1,3,7,5,2,4,6] => 1
[3,1,7,4,5,2,6] => [1,3,7,6,2,4,5] => 1
[3,1,7,4,5,6,2] => [1,3,7,2,4,5,6] => 1
[3,1,7,4,6,2,5] => [1,3,7,5,6,2,4] => 2
[3,1,7,4,6,5,2] => [1,3,7,2,4,5,6] => 1
[3,1,7,5,2,4,6] => [1,3,7,6,4,5,2] => 1
[3,1,7,5,2,6,4] => [1,3,7,4,5,2,6] => 2
[3,1,7,5,4,2,6] => [1,3,7,6,2,4,5] => 1
[3,1,7,5,4,6,2] => [1,3,7,2,4,5,6] => 1
[3,1,7,5,6,2,4] => [1,3,7,4,5,6,2] => 1
[3,1,7,5,6,4,2] => [1,3,7,2,4,5,6] => 1
[3,1,7,6,2,4,5] => [1,3,7,5,2,4,6] => 1
[3,1,7,6,2,5,4] => [1,3,7,4,6,5,2] => 1
[3,1,7,6,4,2,5] => [1,3,7,5,4,6,2] => 1
[3,1,7,6,4,5,2] => [1,3,7,2,4,6,5] => 1
[3,1,7,6,5,2,4] => [1,3,7,4,6,2,5] => 2
[3,1,7,6,5,4,2] => [1,3,7,2,4,6,5] => 1
[3,2,1,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[3,2,1,4,5,7,6] => [1,3,2,4,5,6,7] => 1
[3,2,1,4,6,5,7] => [1,3,2,4,5,6,7] => 1
[3,2,1,4,6,7,5] => [1,3,2,4,5,6,7] => 1
[3,2,1,4,7,5,6] => [1,3,2,4,5,7,6] => 1
[3,2,1,4,7,6,5] => [1,3,2,4,5,7,6] => 1
[3,2,1,5,4,6,7] => [1,3,2,4,5,6,7] => 1
[3,2,1,5,4,7,6] => [1,3,2,4,5,6,7] => 1
[3,2,1,5,6,4,7] => [1,3,2,4,5,6,7] => 1
[3,2,1,5,6,7,4] => [1,3,2,4,5,6,7] => 1
[3,2,1,5,7,4,6] => [1,3,2,4,5,7,6] => 1
[3,2,1,5,7,6,4] => [1,3,2,4,5,7,6] => 1
[3,2,1,6,4,5,7] => [1,3,2,4,6,5,7] => 2
[3,2,1,6,4,7,5] => [1,3,2,4,6,7,5] => 1
[3,2,1,6,5,4,7] => [1,3,2,4,6,5,7] => 2
[3,2,1,6,5,7,4] => [1,3,2,4,6,7,5] => 1
[3,2,1,6,7,4,5] => [1,3,2,4,6,5,7] => 2
[3,2,1,6,7,5,4] => [1,3,2,4,6,5,7] => 2
[3,2,1,7,4,5,6] => [1,3,2,4,7,6,5] => 1
[3,2,1,7,4,6,5] => [1,3,2,4,7,5,6] => 2
[3,2,1,7,5,4,6] => [1,3,2,4,7,6,5] => 1
[3,2,1,7,5,6,4] => [1,3,2,4,7,5,6] => 2
[3,2,1,7,6,4,5] => [1,3,2,4,7,5,6] => 2
[3,2,1,7,6,5,4] => [1,3,2,4,7,5,6] => 2
[3,2,4,1,5,6,7] => [1,3,4,2,5,6,7] => 1
[3,2,4,1,5,7,6] => [1,3,4,2,5,6,7] => 1
[3,2,4,1,6,5,7] => [1,3,4,2,5,6,7] => 1
[3,2,4,1,6,7,5] => [1,3,4,2,5,6,7] => 1
[3,2,4,1,7,5,6] => [1,3,4,2,5,7,6] => 1
[3,2,4,1,7,6,5] => [1,3,4,2,5,7,6] => 1
[3,2,4,5,1,6,7] => [1,3,4,5,2,6,7] => 1
[3,2,4,5,1,7,6] => [1,3,4,5,2,6,7] => 1
[3,2,4,5,6,1,7] => [1,3,4,5,6,2,7] => 1
[3,2,4,5,6,7,1] => [1,3,4,5,6,7,2] => 0
[3,2,4,5,7,1,6] => [1,3,4,5,7,6,2] => 0
[3,2,4,5,7,6,1] => [1,3,4,5,7,2,6] => 1
[3,2,4,6,1,5,7] => [1,3,4,6,5,2,7] => 1
[3,2,4,6,1,7,5] => [1,3,4,6,7,5,2] => 0
[3,2,4,6,5,1,7] => [1,3,4,6,2,5,7] => 1
[3,2,4,6,5,7,1] => [1,3,4,6,7,2,5] => 1
[3,2,4,6,7,1,5] => [1,3,4,6,2,5,7] => 1
[3,2,4,6,7,5,1] => [1,3,4,6,5,7,2] => 1
[3,2,4,7,1,5,6] => [1,3,4,7,6,5,2] => 0
[3,2,4,7,1,6,5] => [1,3,4,7,5,2,6] => 1
[3,2,4,7,5,1,6] => [1,3,4,7,6,2,5] => 1
[3,2,4,7,5,6,1] => [1,3,4,7,2,5,6] => 1
[3,2,4,7,6,1,5] => [1,3,4,7,5,6,2] => 1
[3,2,4,7,6,5,1] => [1,3,4,7,2,5,6] => 1
[3,2,5,1,4,6,7] => [1,3,5,4,2,6,7] => 1
[3,2,5,1,4,7,6] => [1,3,5,4,2,6,7] => 1
[3,2,5,1,6,4,7] => [1,3,5,6,4,2,7] => 1
[3,2,5,1,6,7,4] => [1,3,5,6,7,4,2] => 0
[3,2,5,1,7,4,6] => [1,3,5,7,6,4,2] => 0
[3,2,5,1,7,6,4] => [1,3,5,7,4,2,6] => 1
[3,2,5,4,1,6,7] => [1,3,5,2,4,6,7] => 1
[3,2,5,4,1,7,6] => [1,3,5,2,4,6,7] => 1
[3,2,5,4,6,1,7] => [1,3,5,6,2,4,7] => 1
[3,2,5,4,6,7,1] => [1,3,5,6,7,2,4] => 1
[3,2,5,4,7,1,6] => [1,3,5,7,6,2,4] => 1
[3,2,5,4,7,6,1] => [1,3,5,7,2,4,6] => 1
[3,2,5,6,1,4,7] => [1,3,5,2,4,6,7] => 1
[3,2,5,6,1,7,4] => [1,3,5,2,4,6,7] => 1
[3,2,5,6,4,1,7] => [1,3,5,4,6,2,7] => 2
[3,2,5,6,4,7,1] => [1,3,5,4,6,7,2] => 1
[3,2,5,6,7,1,4] => [1,3,5,7,4,6,2] => 1
[3,2,5,6,7,4,1] => [1,3,5,7,2,4,6] => 1
[3,2,5,7,1,4,6] => [1,3,5,2,4,7,6] => 1
[3,2,5,7,1,6,4] => [1,3,5,2,4,7,6] => 1
[3,2,5,7,4,1,6] => [1,3,5,4,7,6,2] => 1
[3,2,5,7,4,6,1] => [1,3,5,4,7,2,6] => 2
[3,2,5,7,6,1,4] => [1,3,5,6,2,4,7] => 1
[3,2,5,7,6,4,1] => [1,3,5,6,4,7,2] => 1
[3,2,6,1,4,5,7] => [1,3,6,5,4,2,7] => 1
[3,2,6,1,4,7,5] => [1,3,6,7,5,4,2] => 0
[3,2,6,1,5,4,7] => [1,3,6,4,2,5,7] => 1
[3,2,6,1,5,7,4] => [1,3,6,7,4,2,5] => 1
[3,2,6,1,7,4,5] => [1,3,6,4,2,5,7] => 1
[3,2,6,1,7,5,4] => [1,3,6,5,7,4,2] => 1
[3,2,6,4,1,5,7] => [1,3,6,5,2,4,7] => 1
[3,2,6,4,1,7,5] => [1,3,6,7,5,2,4] => 1
[3,2,6,4,5,1,7] => [1,3,6,2,4,5,7] => 1
[3,2,6,4,5,7,1] => [1,3,6,7,2,4,5] => 1
[3,2,6,4,7,1,5] => [1,3,6,2,4,5,7] => 1
[3,2,6,4,7,5,1] => [1,3,6,5,7,2,4] => 2
[3,2,6,5,1,4,7] => [1,3,6,4,5,2,7] => 2
[3,2,6,5,1,7,4] => [1,3,6,7,4,5,2] => 1
[3,2,6,5,4,1,7] => [1,3,6,2,4,5,7] => 1
[3,2,6,5,4,7,1] => [1,3,6,7,2,4,5] => 1
[3,2,6,5,7,1,4] => [1,3,6,2,4,5,7] => 1
[3,2,6,5,7,4,1] => [1,3,6,4,5,7,2] => 1
[3,2,6,7,1,4,5] => [1,3,6,4,7,5,2] => 1
[3,2,6,7,1,5,4] => [1,3,6,5,2,4,7] => 1
[3,2,6,7,4,1,5] => [1,3,6,2,4,7,5] => 1
[3,2,6,7,4,5,1] => [1,3,6,5,4,7,2] => 1
[3,2,6,7,5,1,4] => [1,3,6,2,4,7,5] => 1
[3,2,6,7,5,4,1] => [1,3,6,4,7,2,5] => 2
[3,2,7,1,4,5,6] => [1,3,7,6,5,4,2] => 0
[3,2,7,1,4,6,5] => [1,3,7,5,4,2,6] => 1
[3,2,7,1,5,4,6] => [1,3,7,6,4,2,5] => 1
[3,2,7,1,5,6,4] => [1,3,7,4,2,5,6] => 1
[3,2,7,1,6,4,5] => [1,3,7,5,6,4,2] => 1
[3,2,7,1,6,5,4] => [1,3,7,4,2,5,6] => 1
[3,2,7,4,1,5,6] => [1,3,7,6,5,2,4] => 1
[3,2,7,4,1,6,5] => [1,3,7,5,2,4,6] => 1
[3,2,7,4,5,1,6] => [1,3,7,6,2,4,5] => 1
[3,2,7,4,5,6,1] => [1,3,7,2,4,5,6] => 1
[3,2,7,4,6,1,5] => [1,3,7,5,6,2,4] => 2
[3,2,7,4,6,5,1] => [1,3,7,2,4,5,6] => 1
[3,2,7,5,1,4,6] => [1,3,7,6,4,5,2] => 1
[3,2,7,5,1,6,4] => [1,3,7,4,5,2,6] => 2
[3,2,7,5,4,1,6] => [1,3,7,6,2,4,5] => 1
[3,2,7,5,4,6,1] => [1,3,7,2,4,5,6] => 1
[3,2,7,5,6,1,4] => [1,3,7,4,5,6,2] => 1
[3,2,7,5,6,4,1] => [1,3,7,2,4,5,6] => 1
[3,2,7,6,1,4,5] => [1,3,7,5,2,4,6] => 1
[3,2,7,6,1,5,4] => [1,3,7,4,6,5,2] => 1
[3,2,7,6,4,1,5] => [1,3,7,5,4,6,2] => 1
[3,2,7,6,4,5,1] => [1,3,7,2,4,6,5] => 1
[3,2,7,6,5,1,4] => [1,3,7,4,6,2,5] => 2
[3,2,7,6,5,4,1] => [1,3,7,2,4,6,5] => 1
[3,4,1,2,5,6,7] => [1,3,2,4,5,6,7] => 1
[3,4,1,2,5,7,6] => [1,3,2,4,5,6,7] => 1
[3,4,1,2,6,5,7] => [1,3,2,4,5,6,7] => 1
[3,4,1,2,6,7,5] => [1,3,2,4,5,6,7] => 1
[3,4,1,2,7,5,6] => [1,3,2,4,5,7,6] => 1
[3,4,1,2,7,6,5] => [1,3,2,4,5,7,6] => 1
[3,4,1,5,2,6,7] => [1,3,2,4,5,6,7] => 1
[3,4,1,5,2,7,6] => [1,3,2,4,5,6,7] => 1
[3,4,1,5,6,2,7] => [1,3,2,4,5,6,7] => 1
[3,4,1,5,6,7,2] => [1,3,2,4,5,6,7] => 1
[3,4,1,5,7,2,6] => [1,3,2,4,5,7,6] => 1
[3,4,1,5,7,6,2] => [1,3,2,4,5,7,6] => 1
[3,4,1,6,2,5,7] => [1,3,2,4,6,5,7] => 2
[3,4,1,6,2,7,5] => [1,3,2,4,6,7,5] => 1
[3,4,1,6,5,2,7] => [1,3,2,4,6,5,7] => 2
[3,4,1,6,5,7,2] => [1,3,2,4,6,7,5] => 1
[3,4,1,6,7,2,5] => [1,3,2,4,6,5,7] => 2
[3,4,1,6,7,5,2] => [1,3,2,4,6,5,7] => 2
[3,4,1,7,2,5,6] => [1,3,2,4,7,6,5] => 1
[3,4,1,7,2,6,5] => [1,3,2,4,7,5,6] => 2
[3,4,1,7,5,2,6] => [1,3,2,4,7,6,5] => 1
[3,4,1,7,5,6,2] => [1,3,2,4,7,5,6] => 2
[3,4,1,7,6,2,5] => [1,3,2,4,7,5,6] => 2
[3,4,1,7,6,5,2] => [1,3,2,4,7,5,6] => 2
[3,4,2,1,5,6,7] => [1,3,2,4,5,6,7] => 1
[3,4,2,1,5,7,6] => [1,3,2,4,5,6,7] => 1
[3,4,2,1,6,5,7] => [1,3,2,4,5,6,7] => 1
[3,4,2,1,6,7,5] => [1,3,2,4,5,6,7] => 1
[3,4,2,1,7,5,6] => [1,3,2,4,5,7,6] => 1
[3,4,2,1,7,6,5] => [1,3,2,4,5,7,6] => 1
[3,4,2,5,1,6,7] => [1,3,2,4,5,6,7] => 1
[3,4,2,5,1,7,6] => [1,3,2,4,5,6,7] => 1
[3,4,2,5,6,1,7] => [1,3,2,4,5,6,7] => 1
[3,4,2,5,6,7,1] => [1,3,2,4,5,6,7] => 1
[3,4,2,5,7,1,6] => [1,3,2,4,5,7,6] => 1
[3,4,2,5,7,6,1] => [1,3,2,4,5,7,6] => 1
[3,4,2,6,1,5,7] => [1,3,2,4,6,5,7] => 2
[3,4,2,6,1,7,5] => [1,3,2,4,6,7,5] => 1
[3,4,2,6,5,1,7] => [1,3,2,4,6,5,7] => 2
[3,4,2,6,5,7,1] => [1,3,2,4,6,7,5] => 1
[3,4,2,6,7,1,5] => [1,3,2,4,6,5,7] => 2
[3,4,2,6,7,5,1] => [1,3,2,4,6,5,7] => 2
[3,4,2,7,1,5,6] => [1,3,2,4,7,6,5] => 1
[3,4,2,7,1,6,5] => [1,3,2,4,7,5,6] => 2
[3,4,2,7,5,1,6] => [1,3,2,4,7,6,5] => 1
[3,4,2,7,5,6,1] => [1,3,2,4,7,5,6] => 2
[3,4,2,7,6,1,5] => [1,3,2,4,7,5,6] => 2
[3,4,2,7,6,5,1] => [1,3,2,4,7,5,6] => 2
[3,4,5,1,2,6,7] => [1,3,5,2,4,6,7] => 1
[3,4,5,1,2,7,6] => [1,3,5,2,4,6,7] => 1
[3,4,5,1,6,2,7] => [1,3,5,6,2,4,7] => 1
[3,4,5,1,6,7,2] => [1,3,5,6,7,2,4] => 1
[3,4,5,1,7,2,6] => [1,3,5,7,6,2,4] => 1
[3,4,5,1,7,6,2] => [1,3,5,7,2,4,6] => 1
[3,4,5,2,1,6,7] => [1,3,5,2,4,6,7] => 1
[3,4,5,2,1,7,6] => [1,3,5,2,4,6,7] => 1
[3,4,5,2,6,1,7] => [1,3,5,6,2,4,7] => 1
[3,4,5,2,6,7,1] => [1,3,5,6,7,2,4] => 1
[3,4,5,2,7,1,6] => [1,3,5,7,6,2,4] => 1
[3,4,5,2,7,6,1] => [1,3,5,7,2,4,6] => 1
[3,4,5,6,1,2,7] => [1,3,5,2,4,6,7] => 1
[3,4,5,6,1,7,2] => [1,3,5,2,4,6,7] => 1
[3,4,5,6,2,1,7] => [1,3,5,2,4,6,7] => 1
[3,4,5,6,2,7,1] => [1,3,5,2,4,6,7] => 1
[3,4,5,6,7,1,2] => [1,3,5,7,2,4,6] => 1
[3,4,5,6,7,2,1] => [1,3,5,7,2,4,6] => 1
[3,4,5,7,1,2,6] => [1,3,5,2,4,7,6] => 1
[3,4,5,7,1,6,2] => [1,3,5,2,4,7,6] => 1
[3,4,5,7,2,1,6] => [1,3,5,2,4,7,6] => 1
[3,4,5,7,2,6,1] => [1,3,5,2,4,7,6] => 1
[3,4,5,7,6,1,2] => [1,3,5,6,2,4,7] => 1
[3,4,5,7,6,2,1] => [1,3,5,6,2,4,7] => 1
[3,4,6,1,2,5,7] => [1,3,6,5,2,4,7] => 1
[3,4,6,1,2,7,5] => [1,3,6,7,5,2,4] => 1
[3,4,6,1,5,2,7] => [1,3,6,2,4,5,7] => 1
[3,4,6,1,5,7,2] => [1,3,6,7,2,4,5] => 1
[3,4,6,1,7,2,5] => [1,3,6,2,4,5,7] => 1
[3,4,6,1,7,5,2] => [1,3,6,5,7,2,4] => 2
[3,4,6,2,1,5,7] => [1,3,6,5,2,4,7] => 1
[3,4,6,2,1,7,5] => [1,3,6,7,5,2,4] => 1
[3,4,6,2,5,1,7] => [1,3,6,2,4,5,7] => 1
[3,4,6,2,5,7,1] => [1,3,6,7,2,4,5] => 1
[3,4,6,2,7,1,5] => [1,3,6,2,4,5,7] => 1
[3,4,6,2,7,5,1] => [1,3,6,5,7,2,4] => 2
[3,4,6,5,1,2,7] => [1,3,6,2,4,5,7] => 1
[3,4,6,5,1,7,2] => [1,3,6,7,2,4,5] => 1
[3,4,6,5,2,1,7] => [1,3,6,2,4,5,7] => 1
[3,4,6,5,2,7,1] => [1,3,6,7,2,4,5] => 1
[3,4,6,5,7,1,2] => [1,3,6,2,4,5,7] => 1
[3,4,6,5,7,2,1] => [1,3,6,2,4,5,7] => 1
[3,4,6,7,1,2,5] => [1,3,6,2,4,7,5] => 1
[3,4,6,7,1,5,2] => [1,3,6,5,2,4,7] => 1
[3,4,6,7,2,1,5] => [1,3,6,2,4,7,5] => 1
[3,4,6,7,2,5,1] => [1,3,6,5,2,4,7] => 1
[3,4,6,7,5,1,2] => [1,3,6,2,4,7,5] => 1
[3,4,6,7,5,2,1] => [1,3,6,2,4,7,5] => 1
[3,4,7,1,2,5,6] => [1,3,7,6,5,2,4] => 1
[3,4,7,1,2,6,5] => [1,3,7,5,2,4,6] => 1
[3,4,7,1,5,2,6] => [1,3,7,6,2,4,5] => 1
[3,4,7,1,5,6,2] => [1,3,7,2,4,5,6] => 1
[3,4,7,1,6,2,5] => [1,3,7,5,6,2,4] => 2
[3,4,7,1,6,5,2] => [1,3,7,2,4,5,6] => 1
[3,4,7,2,1,5,6] => [1,3,7,6,5,2,4] => 1
[3,4,7,2,1,6,5] => [1,3,7,5,2,4,6] => 1
[3,4,7,2,5,1,6] => [1,3,7,6,2,4,5] => 1
[3,4,7,2,5,6,1] => [1,3,7,2,4,5,6] => 1
[3,4,7,2,6,1,5] => [1,3,7,5,6,2,4] => 2
[3,4,7,2,6,5,1] => [1,3,7,2,4,5,6] => 1
[3,4,7,5,1,2,6] => [1,3,7,6,2,4,5] => 1
[3,4,7,5,1,6,2] => [1,3,7,2,4,5,6] => 1
[3,4,7,5,2,1,6] => [1,3,7,6,2,4,5] => 1
[3,4,7,5,2,6,1] => [1,3,7,2,4,5,6] => 1
[3,4,7,5,6,1,2] => [1,3,7,2,4,5,6] => 1
[3,4,7,5,6,2,1] => [1,3,7,2,4,5,6] => 1
[3,4,7,6,1,2,5] => [1,3,7,5,2,4,6] => 1
[3,4,7,6,1,5,2] => [1,3,7,2,4,6,5] => 1
[3,4,7,6,2,1,5] => [1,3,7,5,2,4,6] => 1
[3,4,7,6,2,5,1] => [1,3,7,2,4,6,5] => 1
[3,4,7,6,5,1,2] => [1,3,7,2,4,6,5] => 1
[3,4,7,6,5,2,1] => [1,3,7,2,4,6,5] => 1
[3,5,1,2,4,6,7] => [1,3,2,5,4,6,7] => 2
[3,5,1,2,4,7,6] => [1,3,2,5,4,6,7] => 2
[3,5,1,2,6,4,7] => [1,3,2,5,6,4,7] => 2
[3,5,1,2,6,7,4] => [1,3,2,5,6,7,4] => 1
[3,5,1,2,7,4,6] => [1,3,2,5,7,6,4] => 1
[3,5,1,2,7,6,4] => [1,3,2,5,7,4,6] => 2
[3,5,1,4,2,6,7] => [1,3,2,5,4,6,7] => 2
[3,5,1,4,2,7,6] => [1,3,2,5,4,6,7] => 2
[3,5,1,4,6,2,7] => [1,3,2,5,6,4,7] => 2
[3,5,1,4,6,7,2] => [1,3,2,5,6,7,4] => 1
[3,5,1,4,7,2,6] => [1,3,2,5,7,6,4] => 1
[3,5,1,4,7,6,2] => [1,3,2,5,7,4,6] => 2
[3,5,1,6,2,4,7] => [1,3,2,5,4,6,7] => 2
[3,5,1,6,2,7,4] => [1,3,2,5,4,6,7] => 2
[3,5,1,6,4,2,7] => [1,3,2,5,4,6,7] => 2
[3,5,1,6,4,7,2] => [1,3,2,5,4,6,7] => 2
[3,5,1,6,7,2,4] => [1,3,2,5,7,4,6] => 2
[3,5,1,6,7,4,2] => [1,3,2,5,7,4,6] => 2
[3,5,1,7,2,4,6] => [1,3,2,5,4,7,6] => 2
[3,5,1,7,2,6,4] => [1,3,2,5,4,7,6] => 2
[3,5,1,7,4,2,6] => [1,3,2,5,4,7,6] => 2
[3,5,1,7,4,6,2] => [1,3,2,5,4,7,6] => 2
[3,5,1,7,6,2,4] => [1,3,2,5,6,4,7] => 2
[3,5,1,7,6,4,2] => [1,3,2,5,6,4,7] => 2
[3,5,2,1,4,6,7] => [1,3,2,5,4,6,7] => 2
[3,5,2,1,4,7,6] => [1,3,2,5,4,6,7] => 2
[3,5,2,1,6,4,7] => [1,3,2,5,6,4,7] => 2
[3,5,2,1,6,7,4] => [1,3,2,5,6,7,4] => 1
[3,5,2,1,7,4,6] => [1,3,2,5,7,6,4] => 1
[3,5,2,1,7,6,4] => [1,3,2,5,7,4,6] => 2
[3,5,2,4,1,6,7] => [1,3,2,5,4,6,7] => 2
[3,5,2,4,1,7,6] => [1,3,2,5,4,6,7] => 2
[3,5,2,4,6,1,7] => [1,3,2,5,6,4,7] => 2
[3,5,2,4,6,7,1] => [1,3,2,5,6,7,4] => 1
[3,5,2,4,7,1,6] => [1,3,2,5,7,6,4] => 1
[3,5,2,4,7,6,1] => [1,3,2,5,7,4,6] => 2
[3,5,2,6,1,4,7] => [1,3,2,5,4,6,7] => 2
[3,5,2,6,1,7,4] => [1,3,2,5,4,6,7] => 2
[3,5,2,6,4,1,7] => [1,3,2,5,4,6,7] => 2
[3,5,2,6,4,7,1] => [1,3,2,5,4,6,7] => 2
[3,5,2,6,7,1,4] => [1,3,2,5,7,4,6] => 2
[3,5,2,6,7,4,1] => [1,3,2,5,7,4,6] => 2
[3,5,2,7,1,4,6] => [1,3,2,5,4,7,6] => 2
[3,5,2,7,1,6,4] => [1,3,2,5,4,7,6] => 2
[3,5,2,7,4,1,6] => [1,3,2,5,4,7,6] => 2
[3,5,2,7,4,6,1] => [1,3,2,5,4,7,6] => 2
[3,5,2,7,6,1,4] => [1,3,2,5,6,4,7] => 2
[3,5,2,7,6,4,1] => [1,3,2,5,6,4,7] => 2
[3,5,4,1,2,6,7] => [1,3,4,2,5,6,7] => 1
[3,5,4,1,2,7,6] => [1,3,4,2,5,6,7] => 1
[3,5,4,1,6,2,7] => [1,3,4,2,5,6,7] => 1
[3,5,4,1,6,7,2] => [1,3,4,2,5,6,7] => 1
[3,5,4,1,7,2,6] => [1,3,4,2,5,7,6] => 1
[3,5,4,1,7,6,2] => [1,3,4,2,5,7,6] => 1
[3,5,4,2,1,6,7] => [1,3,4,2,5,6,7] => 1
[3,5,4,2,1,7,6] => [1,3,4,2,5,6,7] => 1
[3,5,4,2,6,1,7] => [1,3,4,2,5,6,7] => 1
[3,5,4,2,6,7,1] => [1,3,4,2,5,6,7] => 1
[3,5,4,2,7,1,6] => [1,3,4,2,5,7,6] => 1
[3,5,4,2,7,6,1] => [1,3,4,2,5,7,6] => 1
[3,5,4,6,1,2,7] => [1,3,4,6,2,5,7] => 1
[3,5,4,6,1,7,2] => [1,3,4,6,7,2,5] => 1
[3,5,4,6,2,1,7] => [1,3,4,6,2,5,7] => 1
[3,5,4,6,2,7,1] => [1,3,4,6,7,2,5] => 1
[3,5,4,6,7,1,2] => [1,3,4,6,2,5,7] => 1
[3,5,4,6,7,2,1] => [1,3,4,6,2,5,7] => 1
[3,5,4,7,1,2,6] => [1,3,4,7,6,2,5] => 1
[3,5,4,7,1,6,2] => [1,3,4,7,2,5,6] => 1
[3,5,4,7,2,1,6] => [1,3,4,7,6,2,5] => 1
[3,5,4,7,2,6,1] => [1,3,4,7,2,5,6] => 1
[3,5,4,7,6,1,2] => [1,3,4,7,2,5,6] => 1
[3,5,4,7,6,2,1] => [1,3,4,7,2,5,6] => 1
[3,5,6,1,2,4,7] => [1,3,6,4,2,5,7] => 1
[3,5,6,1,2,7,4] => [1,3,6,7,4,2,5] => 1
[3,5,6,1,4,2,7] => [1,3,6,2,5,4,7] => 2
[3,5,6,1,4,7,2] => [1,3,6,7,2,5,4] => 1
[3,5,6,1,7,2,4] => [1,3,6,2,5,7,4] => 1
[3,5,6,1,7,4,2] => [1,3,6,4,2,5,7] => 1
[3,5,6,2,1,4,7] => [1,3,6,4,2,5,7] => 1
[3,5,6,2,1,7,4] => [1,3,6,7,4,2,5] => 1
[3,5,6,2,4,1,7] => [1,3,6,2,5,4,7] => 2
[3,5,6,2,4,7,1] => [1,3,6,7,2,5,4] => 1
[3,5,6,2,7,1,4] => [1,3,6,2,5,7,4] => 1
[3,5,6,2,7,4,1] => [1,3,6,4,2,5,7] => 1
[3,5,6,4,1,2,7] => [1,3,6,2,5,4,7] => 2
[3,5,6,4,1,7,2] => [1,3,6,7,2,5,4] => 1
[3,5,6,4,2,1,7] => [1,3,6,2,5,4,7] => 2
[3,5,6,4,2,7,1] => [1,3,6,7,2,5,4] => 1
[3,5,6,4,7,1,2] => [1,3,6,2,5,7,4] => 1
[3,5,6,4,7,2,1] => [1,3,6,2,5,7,4] => 1
[3,5,6,7,1,2,4] => [1,3,6,2,5,4,7] => 2
[3,5,6,7,1,4,2] => [1,3,6,4,7,2,5] => 2
[3,5,6,7,2,1,4] => [1,3,6,2,5,4,7] => 2
[3,5,6,7,2,4,1] => [1,3,6,4,7,2,5] => 2
[3,5,6,7,4,1,2] => [1,3,6,2,5,4,7] => 2
[3,5,6,7,4,2,1] => [1,3,6,2,5,4,7] => 2
[3,5,7,1,2,4,6] => [1,3,7,6,4,2,5] => 1
[3,5,7,1,2,6,4] => [1,3,7,4,2,5,6] => 1
[3,5,7,1,4,2,6] => [1,3,7,6,2,5,4] => 1
[3,5,7,1,4,6,2] => [1,3,7,2,5,4,6] => 2
[3,5,7,1,6,2,4] => [1,3,7,4,2,5,6] => 1
[3,5,7,1,6,4,2] => [1,3,7,2,5,6,4] => 1
[3,5,7,2,1,4,6] => [1,3,7,6,4,2,5] => 1
[3,5,7,2,1,6,4] => [1,3,7,4,2,5,6] => 1
[3,5,7,2,4,1,6] => [1,3,7,6,2,5,4] => 1
[3,5,7,2,4,6,1] => [1,3,7,2,5,4,6] => 2
[3,5,7,2,6,1,4] => [1,3,7,4,2,5,6] => 1
[3,5,7,2,6,4,1] => [1,3,7,2,5,6,4] => 1
[3,5,7,4,1,2,6] => [1,3,7,6,2,5,4] => 1
[3,5,7,4,1,6,2] => [1,3,7,2,5,4,6] => 2
[3,5,7,4,2,1,6] => [1,3,7,6,2,5,4] => 1
[3,5,7,4,2,6,1] => [1,3,7,2,5,4,6] => 2
[3,5,7,4,6,1,2] => [1,3,7,2,5,6,4] => 1
[3,5,7,4,6,2,1] => [1,3,7,2,5,6,4] => 1
[3,5,7,6,1,2,4] => [1,3,7,4,6,2,5] => 2
[3,5,7,6,1,4,2] => [1,3,7,2,5,4,6] => 2
[3,5,7,6,2,1,4] => [1,3,7,4,6,2,5] => 2
[3,5,7,6,2,4,1] => [1,3,7,2,5,4,6] => 2
[3,5,7,6,4,1,2] => [1,3,7,2,5,4,6] => 2
[3,5,7,6,4,2,1] => [1,3,7,2,5,4,6] => 2
[3,6,1,2,4,5,7] => [1,3,2,6,5,4,7] => 2
[3,6,1,2,4,7,5] => [1,3,2,6,7,5,4] => 1
[3,6,1,2,5,4,7] => [1,3,2,6,4,5,7] => 2
[3,6,1,2,5,7,4] => [1,3,2,6,7,4,5] => 2
[3,6,1,2,7,4,5] => [1,3,2,6,4,5,7] => 2
[3,6,1,2,7,5,4] => [1,3,2,6,5,7,4] => 2
[3,6,1,4,2,5,7] => [1,3,2,6,5,4,7] => 2
[3,6,1,4,2,7,5] => [1,3,2,6,7,5,4] => 1
[3,6,1,4,5,2,7] => [1,3,2,6,4,5,7] => 2
[3,6,1,4,5,7,2] => [1,3,2,6,7,4,5] => 2
[3,6,1,4,7,2,5] => [1,3,2,6,4,5,7] => 2
[3,6,1,4,7,5,2] => [1,3,2,6,5,7,4] => 2
[3,6,1,5,2,4,7] => [1,3,2,6,4,5,7] => 2
[3,6,1,5,2,7,4] => [1,3,2,6,7,4,5] => 2
[3,6,1,5,4,2,7] => [1,3,2,6,4,5,7] => 2
[3,6,1,5,4,7,2] => [1,3,2,6,7,4,5] => 2
[3,6,1,5,7,2,4] => [1,3,2,6,4,5,7] => 2
[3,6,1,5,7,4,2] => [1,3,2,6,4,5,7] => 2
[3,6,1,7,2,4,5] => [1,3,2,6,4,7,5] => 2
[3,6,1,7,2,5,4] => [1,3,2,6,5,4,7] => 2
[3,6,1,7,4,2,5] => [1,3,2,6,4,7,5] => 2
[3,6,1,7,4,5,2] => [1,3,2,6,5,4,7] => 2
[3,6,1,7,5,2,4] => [1,3,2,6,4,7,5] => 2
[3,6,1,7,5,4,2] => [1,3,2,6,4,7,5] => 2
[3,6,2,1,4,5,7] => [1,3,2,6,5,4,7] => 2
[3,6,2,1,4,7,5] => [1,3,2,6,7,5,4] => 1
[3,6,2,1,5,4,7] => [1,3,2,6,4,5,7] => 2
[3,6,2,1,5,7,4] => [1,3,2,6,7,4,5] => 2
[3,6,2,1,7,4,5] => [1,3,2,6,4,5,7] => 2
[3,6,2,1,7,5,4] => [1,3,2,6,5,7,4] => 2
[3,6,2,4,1,5,7] => [1,3,2,6,5,4,7] => 2
[3,6,2,4,1,7,5] => [1,3,2,6,7,5,4] => 1
[3,6,2,4,5,1,7] => [1,3,2,6,4,5,7] => 2
[3,6,2,4,5,7,1] => [1,3,2,6,7,4,5] => 2
[3,6,2,4,7,1,5] => [1,3,2,6,4,5,7] => 2
[3,6,2,4,7,5,1] => [1,3,2,6,5,7,4] => 2
[3,6,2,5,1,4,7] => [1,3,2,6,4,5,7] => 2
[3,6,2,5,1,7,4] => [1,3,2,6,7,4,5] => 2
[3,6,2,5,4,1,7] => [1,3,2,6,4,5,7] => 2
[3,6,2,5,4,7,1] => [1,3,2,6,7,4,5] => 2
[3,6,2,5,7,1,4] => [1,3,2,6,4,5,7] => 2
[3,6,2,5,7,4,1] => [1,3,2,6,4,5,7] => 2
[3,6,2,7,1,4,5] => [1,3,2,6,4,7,5] => 2
[3,6,2,7,1,5,4] => [1,3,2,6,5,4,7] => 2
[3,6,2,7,4,1,5] => [1,3,2,6,4,7,5] => 2
[3,6,2,7,4,5,1] => [1,3,2,6,5,4,7] => 2
[3,6,2,7,5,1,4] => [1,3,2,6,4,7,5] => 2
[3,6,2,7,5,4,1] => [1,3,2,6,4,7,5] => 2
[3,6,4,1,2,5,7] => [1,3,4,2,6,5,7] => 2
[3,6,4,1,2,7,5] => [1,3,4,2,6,7,5] => 1
[3,6,4,1,5,2,7] => [1,3,4,2,6,5,7] => 2
[3,6,4,1,5,7,2] => [1,3,4,2,6,7,5] => 1
[3,6,4,1,7,2,5] => [1,3,4,2,6,5,7] => 2
[3,6,4,1,7,5,2] => [1,3,4,2,6,5,7] => 2
[3,6,4,2,1,5,7] => [1,3,4,2,6,5,7] => 2
[3,6,4,2,1,7,5] => [1,3,4,2,6,7,5] => 1
[3,6,4,2,5,1,7] => [1,3,4,2,6,5,7] => 2
[3,6,4,2,5,7,1] => [1,3,4,2,6,7,5] => 1
[3,6,4,2,7,1,5] => [1,3,4,2,6,5,7] => 2
[3,6,4,2,7,5,1] => [1,3,4,2,6,5,7] => 2
[3,6,4,5,1,2,7] => [1,3,4,5,2,6,7] => 1
[3,6,4,5,1,7,2] => [1,3,4,5,2,6,7] => 1
[3,6,4,5,2,1,7] => [1,3,4,5,2,6,7] => 1
[3,6,4,5,2,7,1] => [1,3,4,5,2,6,7] => 1
[3,6,4,5,7,1,2] => [1,3,4,5,7,2,6] => 1
[3,6,4,5,7,2,1] => [1,3,4,5,7,2,6] => 1
[3,6,4,7,1,2,5] => [1,3,4,7,5,2,6] => 1
[3,6,4,7,1,5,2] => [1,3,4,7,2,6,5] => 1
[3,6,4,7,2,1,5] => [1,3,4,7,5,2,6] => 1
[3,6,4,7,2,5,1] => [1,3,4,7,2,6,5] => 1
[3,6,4,7,5,1,2] => [1,3,4,7,2,6,5] => 1
[3,6,4,7,5,2,1] => [1,3,4,7,2,6,5] => 1
[3,6,5,1,2,4,7] => [1,3,5,2,6,4,7] => 2
[3,6,5,1,2,7,4] => [1,3,5,2,6,7,4] => 1
[3,6,5,1,4,2,7] => [1,3,5,4,2,6,7] => 1
[3,6,5,1,4,7,2] => [1,3,5,4,2,6,7] => 1
[3,6,5,1,7,2,4] => [1,3,5,7,4,2,6] => 1
[3,6,5,1,7,4,2] => [1,3,5,7,2,6,4] => 1
[3,6,5,2,1,4,7] => [1,3,5,2,6,4,7] => 2
[3,6,5,2,1,7,4] => [1,3,5,2,6,7,4] => 1
[3,6,5,2,4,1,7] => [1,3,5,4,2,6,7] => 1
[3,6,5,2,4,7,1] => [1,3,5,4,2,6,7] => 1
[3,6,5,2,7,1,4] => [1,3,5,7,4,2,6] => 1
[3,6,5,2,7,4,1] => [1,3,5,7,2,6,4] => 1
[3,6,5,4,1,2,7] => [1,3,5,2,6,4,7] => 2
[3,6,5,4,1,7,2] => [1,3,5,2,6,7,4] => 1
[3,6,5,4,2,1,7] => [1,3,5,2,6,4,7] => 2
[3,6,5,4,2,7,1] => [1,3,5,2,6,7,4] => 1
[3,6,5,4,7,1,2] => [1,3,5,7,2,6,4] => 1
[3,6,5,4,7,2,1] => [1,3,5,7,2,6,4] => 1
[3,6,5,7,1,2,4] => [1,3,5,2,6,4,7] => 2
[3,6,5,7,1,4,2] => [1,3,5,2,6,4,7] => 2
[3,6,5,7,2,1,4] => [1,3,5,2,6,4,7] => 2
[3,6,5,7,2,4,1] => [1,3,5,2,6,4,7] => 2
[3,6,5,7,4,1,2] => [1,3,5,4,7,2,6] => 2
[3,6,5,7,4,2,1] => [1,3,5,4,7,2,6] => 2
[3,6,7,1,2,4,5] => [1,3,7,5,2,6,4] => 1
[3,6,7,1,2,5,4] => [1,3,7,4,2,6,5] => 1
[3,6,7,1,4,2,5] => [1,3,7,5,4,2,6] => 1
[3,6,7,1,4,5,2] => [1,3,7,2,6,5,4] => 1
[3,6,7,1,5,2,4] => [1,3,7,4,2,6,5] => 1
[3,6,7,1,5,4,2] => [1,3,7,2,6,4,5] => 2
[3,6,7,2,1,4,5] => [1,3,7,5,2,6,4] => 1
[3,6,7,2,1,5,4] => [1,3,7,4,2,6,5] => 1
[3,6,7,2,4,1,5] => [1,3,7,5,4,2,6] => 1
[3,6,7,2,4,5,1] => [1,3,7,2,6,5,4] => 1
[3,6,7,2,5,1,4] => [1,3,7,4,2,6,5] => 1
[3,6,7,2,5,4,1] => [1,3,7,2,6,4,5] => 2
[3,6,7,4,1,2,5] => [1,3,7,5,2,6,4] => 1
[3,6,7,4,1,5,2] => [1,3,7,2,6,5,4] => 1
[3,6,7,4,2,1,5] => [1,3,7,5,2,6,4] => 1
[3,6,7,4,2,5,1] => [1,3,7,2,6,5,4] => 1
[3,6,7,4,5,1,2] => [1,3,7,2,6,4,5] => 2
[3,6,7,4,5,2,1] => [1,3,7,2,6,4,5] => 2
[3,6,7,5,1,2,4] => [1,3,7,4,5,2,6] => 2
[3,6,7,5,1,4,2] => [1,3,7,2,6,4,5] => 2
[3,6,7,5,2,1,4] => [1,3,7,4,5,2,6] => 2
[3,6,7,5,2,4,1] => [1,3,7,2,6,4,5] => 2
[3,6,7,5,4,1,2] => [1,3,7,2,6,4,5] => 2
[3,6,7,5,4,2,1] => [1,3,7,2,6,4,5] => 2
[3,7,1,2,4,5,6] => [1,3,2,7,6,5,4] => 1
[3,7,1,2,4,6,5] => [1,3,2,7,5,4,6] => 2
[3,7,1,2,5,4,6] => [1,3,2,7,6,4,5] => 2
[3,7,1,2,5,6,4] => [1,3,2,7,4,5,6] => 2
[3,7,1,2,6,4,5] => [1,3,2,7,5,6,4] => 2
[3,7,1,2,6,5,4] => [1,3,2,7,4,5,6] => 2
[3,7,1,4,2,5,6] => [1,3,2,7,6,5,4] => 1
[3,7,1,4,2,6,5] => [1,3,2,7,5,4,6] => 2
[3,7,1,4,5,2,6] => [1,3,2,7,6,4,5] => 2
[3,7,1,4,5,6,2] => [1,3,2,7,4,5,6] => 2
[3,7,1,4,6,2,5] => [1,3,2,7,5,6,4] => 2
[3,7,1,4,6,5,2] => [1,3,2,7,4,5,6] => 2
[3,7,1,5,2,4,6] => [1,3,2,7,6,4,5] => 2
[3,7,1,5,2,6,4] => [1,3,2,7,4,5,6] => 2
[3,7,1,5,4,2,6] => [1,3,2,7,6,4,5] => 2
[3,7,1,5,4,6,2] => [1,3,2,7,4,5,6] => 2
[3,7,1,5,6,2,4] => [1,3,2,7,4,5,6] => 2
[3,7,1,5,6,4,2] => [1,3,2,7,4,5,6] => 2
[3,7,1,6,2,4,5] => [1,3,2,7,5,4,6] => 2
[3,7,1,6,2,5,4] => [1,3,2,7,4,6,5] => 2
[3,7,1,6,4,2,5] => [1,3,2,7,5,4,6] => 2
[3,7,1,6,4,5,2] => [1,3,2,7,4,6,5] => 2
[3,7,1,6,5,2,4] => [1,3,2,7,4,6,5] => 2
[3,7,1,6,5,4,2] => [1,3,2,7,4,6,5] => 2
[3,7,2,1,4,5,6] => [1,3,2,7,6,5,4] => 1
[3,7,2,1,4,6,5] => [1,3,2,7,5,4,6] => 2
[3,7,2,1,5,4,6] => [1,3,2,7,6,4,5] => 2
[3,7,2,1,5,6,4] => [1,3,2,7,4,5,6] => 2
[3,7,2,1,6,4,5] => [1,3,2,7,5,6,4] => 2
[3,7,2,1,6,5,4] => [1,3,2,7,4,5,6] => 2
[3,7,2,4,1,5,6] => [1,3,2,7,6,5,4] => 1
[3,7,2,4,1,6,5] => [1,3,2,7,5,4,6] => 2
[3,7,2,4,5,1,6] => [1,3,2,7,6,4,5] => 2
[3,7,2,4,5,6,1] => [1,3,2,7,4,5,6] => 2
[3,7,2,4,6,1,5] => [1,3,2,7,5,6,4] => 2
[3,7,2,4,6,5,1] => [1,3,2,7,4,5,6] => 2
[3,7,2,5,1,4,6] => [1,3,2,7,6,4,5] => 2
[3,7,2,5,1,6,4] => [1,3,2,7,4,5,6] => 2
[3,7,2,5,4,1,6] => [1,3,2,7,6,4,5] => 2
[3,7,2,5,4,6,1] => [1,3,2,7,4,5,6] => 2
[3,7,2,5,6,1,4] => [1,3,2,7,4,5,6] => 2
[3,7,2,5,6,4,1] => [1,3,2,7,4,5,6] => 2
[3,7,2,6,1,4,5] => [1,3,2,7,5,4,6] => 2
[3,7,2,6,1,5,4] => [1,3,2,7,4,6,5] => 2
[3,7,2,6,4,1,5] => [1,3,2,7,5,4,6] => 2
[3,7,2,6,4,5,1] => [1,3,2,7,4,6,5] => 2
[3,7,2,6,5,1,4] => [1,3,2,7,4,6,5] => 2
[3,7,2,6,5,4,1] => [1,3,2,7,4,6,5] => 2
[3,7,4,1,2,5,6] => [1,3,4,2,7,6,5] => 1
[3,7,4,1,2,6,5] => [1,3,4,2,7,5,6] => 2
[3,7,4,1,5,2,6] => [1,3,4,2,7,6,5] => 1
[3,7,4,1,5,6,2] => [1,3,4,2,7,5,6] => 2
[3,7,4,1,6,2,5] => [1,3,4,2,7,5,6] => 2
[3,7,4,1,6,5,2] => [1,3,4,2,7,5,6] => 2
[3,7,4,2,1,5,6] => [1,3,4,2,7,6,5] => 1
[3,7,4,2,1,6,5] => [1,3,4,2,7,5,6] => 2
[3,7,4,2,5,1,6] => [1,3,4,2,7,6,5] => 1
[3,7,4,2,5,6,1] => [1,3,4,2,7,5,6] => 2
[3,7,4,2,6,1,5] => [1,3,4,2,7,5,6] => 2
[3,7,4,2,6,5,1] => [1,3,4,2,7,5,6] => 2
[3,7,4,5,1,2,6] => [1,3,4,5,2,7,6] => 1
[3,7,4,5,1,6,2] => [1,3,4,5,2,7,6] => 1
[3,7,4,5,2,1,6] => [1,3,4,5,2,7,6] => 1
[3,7,4,5,2,6,1] => [1,3,4,5,2,7,6] => 1
[3,7,4,5,6,1,2] => [1,3,4,5,6,2,7] => 1
[3,7,4,5,6,2,1] => [1,3,4,5,6,2,7] => 1
[3,7,4,6,1,2,5] => [1,3,4,6,2,7,5] => 1
[3,7,4,6,1,5,2] => [1,3,4,6,5,2,7] => 1
[3,7,4,6,2,1,5] => [1,3,4,6,2,7,5] => 1
[3,7,4,6,2,5,1] => [1,3,4,6,5,2,7] => 1
[3,7,4,6,5,1,2] => [1,3,4,6,2,7,5] => 1
[3,7,4,6,5,2,1] => [1,3,4,6,2,7,5] => 1
[3,7,5,1,2,4,6] => [1,3,5,2,7,6,4] => 1
[3,7,5,1,2,6,4] => [1,3,5,2,7,4,6] => 2
[3,7,5,1,4,2,6] => [1,3,5,4,2,7,6] => 1
[3,7,5,1,4,6,2] => [1,3,5,4,2,7,6] => 1
[3,7,5,1,6,2,4] => [1,3,5,6,2,7,4] => 1
[3,7,5,1,6,4,2] => [1,3,5,6,4,2,7] => 1
[3,7,5,2,1,4,6] => [1,3,5,2,7,6,4] => 1
[3,7,5,2,1,6,4] => [1,3,5,2,7,4,6] => 2
[3,7,5,2,4,1,6] => [1,3,5,4,2,7,6] => 1
[3,7,5,2,4,6,1] => [1,3,5,4,2,7,6] => 1
[3,7,5,2,6,1,4] => [1,3,5,6,2,7,4] => 1
[3,7,5,2,6,4,1] => [1,3,5,6,4,2,7] => 1
[3,7,5,4,1,2,6] => [1,3,5,2,7,6,4] => 1
[3,7,5,4,1,6,2] => [1,3,5,2,7,4,6] => 2
[3,7,5,4,2,1,6] => [1,3,5,2,7,6,4] => 1
[3,7,5,4,2,6,1] => [1,3,5,2,7,4,6] => 2
[3,7,5,4,6,1,2] => [1,3,5,6,2,7,4] => 1
[3,7,5,4,6,2,1] => [1,3,5,6,2,7,4] => 1
[3,7,5,6,1,2,4] => [1,3,5,2,7,4,6] => 2
[3,7,5,6,1,4,2] => [1,3,5,2,7,4,6] => 2
[3,7,5,6,2,1,4] => [1,3,5,2,7,4,6] => 2
[3,7,5,6,2,4,1] => [1,3,5,2,7,4,6] => 2
[3,7,5,6,4,1,2] => [1,3,5,4,6,2,7] => 2
[3,7,5,6,4,2,1] => [1,3,5,4,6,2,7] => 2
[3,7,6,1,2,4,5] => [1,3,6,4,2,7,5] => 1
[3,7,6,1,2,5,4] => [1,3,6,5,2,7,4] => 1
[3,7,6,1,4,2,5] => [1,3,6,2,7,5,4] => 1
[3,7,6,1,4,5,2] => [1,3,6,5,4,2,7] => 1
[3,7,6,1,5,2,4] => [1,3,6,2,7,4,5] => 2
[3,7,6,1,5,4,2] => [1,3,6,4,2,7,5] => 1
[3,7,6,2,1,4,5] => [1,3,6,4,2,7,5] => 1
[3,7,6,2,1,5,4] => [1,3,6,5,2,7,4] => 1
[3,7,6,2,4,1,5] => [1,3,6,2,7,5,4] => 1
[3,7,6,2,4,5,1] => [1,3,6,5,4,2,7] => 1
[3,7,6,2,5,1,4] => [1,3,6,2,7,4,5] => 2
[3,7,6,2,5,4,1] => [1,3,6,4,2,7,5] => 1
[3,7,6,4,1,2,5] => [1,3,6,2,7,5,4] => 1
[3,7,6,4,1,5,2] => [1,3,6,5,2,7,4] => 1
[3,7,6,4,2,1,5] => [1,3,6,2,7,5,4] => 1
[3,7,6,4,2,5,1] => [1,3,6,5,2,7,4] => 1
[3,7,6,4,5,1,2] => [1,3,6,2,7,4,5] => 2
[3,7,6,4,5,2,1] => [1,3,6,2,7,4,5] => 2
[3,7,6,5,1,2,4] => [1,3,6,2,7,4,5] => 2
[3,7,6,5,1,4,2] => [1,3,6,4,5,2,7] => 2
[3,7,6,5,2,1,4] => [1,3,6,2,7,4,5] => 2
[3,7,6,5,2,4,1] => [1,3,6,4,5,2,7] => 2
[3,7,6,5,4,1,2] => [1,3,6,2,7,4,5] => 2
[3,7,6,5,4,2,1] => [1,3,6,2,7,4,5] => 2
[4,1,2,3,5,6,7] => [1,4,3,2,5,6,7] => 1
[4,1,2,3,5,7,6] => [1,4,3,2,5,6,7] => 1
[4,1,2,3,6,5,7] => [1,4,3,2,5,6,7] => 1
[4,1,2,3,6,7,5] => [1,4,3,2,5,6,7] => 1
[4,1,2,3,7,5,6] => [1,4,3,2,5,7,6] => 1
[4,1,2,3,7,6,5] => [1,4,3,2,5,7,6] => 1
[4,1,2,5,3,6,7] => [1,4,5,3,2,6,7] => 1
[4,1,2,5,3,7,6] => [1,4,5,3,2,6,7] => 1
[4,1,2,5,6,3,7] => [1,4,5,6,3,2,7] => 1
[4,1,2,5,6,7,3] => [1,4,5,6,7,3,2] => 0
[4,1,2,5,7,3,6] => [1,4,5,7,6,3,2] => 0
[4,1,2,5,7,6,3] => [1,4,5,7,3,2,6] => 1
[4,1,2,6,3,5,7] => [1,4,6,5,3,2,7] => 1
[4,1,2,6,5,3,7] => [1,4,6,3,2,5,7] => 1
[4,1,2,6,7,3,5] => [1,4,6,3,2,5,7] => 1
[4,1,3,2,5,6,7] => [1,4,2,3,5,6,7] => 1
[4,1,3,2,5,7,6] => [1,4,2,3,5,6,7] => 1
[4,1,3,2,6,5,7] => [1,4,2,3,5,6,7] => 1
[4,1,3,2,6,7,5] => [1,4,2,3,5,6,7] => 1
[4,1,3,2,7,5,6] => [1,4,2,3,5,7,6] => 1
[4,1,3,2,7,6,5] => [1,4,2,3,5,7,6] => 1
[4,1,3,5,2,6,7] => [1,4,5,2,3,6,7] => 1
[4,1,3,5,2,7,6] => [1,4,5,2,3,6,7] => 1
[4,1,3,5,6,2,7] => [1,4,5,6,2,3,7] => 1
[4,1,3,5,6,7,2] => [1,4,5,6,7,2,3] => 1
[4,1,3,5,7,2,6] => [1,4,5,7,6,2,3] => 1
[4,1,3,5,7,6,2] => [1,4,5,7,2,3,6] => 1
[4,1,3,6,2,5,7] => [1,4,6,5,2,3,7] => 1
[4,1,3,6,5,2,7] => [1,4,6,2,3,5,7] => 1
[4,1,3,6,7,2,5] => [1,4,6,2,3,5,7] => 1
[4,1,5,2,3,6,7] => [1,4,2,3,5,6,7] => 1
[4,1,5,2,3,7,6] => [1,4,2,3,5,6,7] => 1
[4,1,5,2,6,3,7] => [1,4,2,3,5,6,7] => 1
[4,1,5,2,6,7,3] => [1,4,2,3,5,6,7] => 1
[4,1,5,2,7,3,6] => [1,4,2,3,5,7,6] => 1
[4,1,5,2,7,6,3] => [1,4,2,3,5,7,6] => 1
[4,1,5,3,2,6,7] => [1,4,3,5,2,6,7] => 2
[4,1,5,3,2,7,6] => [1,4,3,5,2,6,7] => 2
[4,1,5,3,6,2,7] => [1,4,3,5,6,2,7] => 2
[4,1,5,3,6,7,2] => [1,4,3,5,6,7,2] => 1
[4,1,5,3,7,2,6] => [1,4,3,5,7,6,2] => 1
[4,1,5,3,7,6,2] => [1,4,3,5,7,2,6] => 2
[4,1,5,6,2,3,7] => [1,4,6,3,5,2,7] => 2
[4,1,5,6,3,2,7] => [1,4,6,2,3,5,7] => 1
[4,1,5,6,7,2,3] => [1,4,6,2,3,5,7] => 1
[4,1,5,6,7,3,2] => [1,4,6,3,5,7,2] => 1
[4,1,6,2,3,5,7] => [1,4,2,3,6,5,7] => 2
[4,1,6,2,3,7,5] => [1,4,2,3,6,7,5] => 1
[4,1,6,2,5,3,7] => [1,4,2,3,6,5,7] => 2
[4,1,6,2,5,7,3] => [1,4,2,3,6,7,5] => 1
[4,1,6,2,7,3,5] => [1,4,2,3,6,5,7] => 2
[4,1,6,2,7,5,3] => [1,4,2,3,6,5,7] => 2
[4,1,6,3,2,5,7] => [1,4,3,6,5,2,7] => 2
[4,1,6,3,2,7,5] => [1,4,3,6,7,5,2] => 1
[4,1,6,3,5,2,7] => [1,4,3,6,2,5,7] => 2
[4,1,6,3,5,7,2] => [1,4,3,6,7,2,5] => 2
[4,1,6,3,7,2,5] => [1,4,3,6,2,5,7] => 2
[4,1,6,3,7,5,2] => [1,4,3,6,5,7,2] => 2
[4,1,6,5,2,3,7] => [1,4,5,2,3,6,7] => 1
[4,1,6,5,2,7,3] => [1,4,5,2,3,6,7] => 1
[4,1,6,5,3,2,7] => [1,4,5,3,6,2,7] => 2
[4,1,6,5,3,7,2] => [1,4,5,3,6,7,2] => 1
[4,1,6,5,7,2,3] => [1,4,5,7,3,6,2] => 1
[4,1,6,5,7,3,2] => [1,4,5,7,2,3,6] => 1
[4,1,7,2,3,5,6] => [1,4,2,3,7,6,5] => 1
[4,1,7,2,3,6,5] => [1,4,2,3,7,5,6] => 2
[4,1,7,2,5,3,6] => [1,4,2,3,7,6,5] => 1
[4,1,7,2,5,6,3] => [1,4,2,3,7,5,6] => 2
[4,1,7,2,6,3,5] => [1,4,2,3,7,5,6] => 2
[4,1,7,2,6,5,3] => [1,4,2,3,7,5,6] => 2
[4,1,7,3,2,5,6] => [1,4,3,7,6,5,2] => 1
[4,1,7,3,2,6,5] => [1,4,3,7,5,2,6] => 2
[4,1,7,3,5,2,6] => [1,4,3,7,6,2,5] => 2
[4,1,7,3,5,6,2] => [1,4,3,7,2,5,6] => 2
[4,1,7,3,6,2,5] => [1,4,3,7,5,6,2] => 2
[4,1,7,3,6,5,2] => [1,4,3,7,2,5,6] => 2
[4,1,7,5,2,3,6] => [1,4,5,2,3,7,6] => 1
[4,1,7,5,2,6,3] => [1,4,5,2,3,7,6] => 1
[4,1,7,5,3,2,6] => [1,4,5,3,7,6,2] => 1
[4,1,7,5,3,6,2] => [1,4,5,3,7,2,6] => 2
[4,1,7,5,6,2,3] => [1,4,5,6,2,3,7] => 1
[4,1,7,5,6,3,2] => [1,4,5,6,3,7,2] => 1
[4,1,7,6,2,3,5] => [1,4,6,3,7,5,2] => 1
[4,1,7,6,2,5,3] => [1,4,6,5,2,3,7] => 1
[4,1,7,6,3,2,5] => [1,4,6,2,3,7,5] => 1
[4,1,7,6,3,5,2] => [1,4,6,5,3,7,2] => 1
[4,1,7,6,5,2,3] => [1,4,6,2,3,7,5] => 1
[4,1,7,6,5,3,2] => [1,4,6,3,7,2,5] => 2
[4,2,1,3,5,6,7] => [1,4,3,2,5,6,7] => 1
[4,2,1,3,5,7,6] => [1,4,3,2,5,6,7] => 1
[4,2,1,3,6,5,7] => [1,4,3,2,5,6,7] => 1
[4,2,1,3,6,7,5] => [1,4,3,2,5,6,7] => 1
[4,2,1,3,7,5,6] => [1,4,3,2,5,7,6] => 1
[4,2,1,3,7,6,5] => [1,4,3,2,5,7,6] => 1
[4,2,1,5,3,6,7] => [1,4,5,3,2,6,7] => 1
[4,2,1,5,3,7,6] => [1,4,5,3,2,6,7] => 1
[4,2,1,5,6,3,7] => [1,4,5,6,3,2,7] => 1
[4,2,1,5,6,7,3] => [1,4,5,6,7,3,2] => 0
[4,2,1,5,7,3,6] => [1,4,5,7,6,3,2] => 0
[4,2,1,5,7,6,3] => [1,4,5,7,3,2,6] => 1
[4,2,1,6,3,5,7] => [1,4,6,5,3,2,7] => 1
[4,2,1,6,5,3,7] => [1,4,6,3,2,5,7] => 1
[4,2,1,6,7,3,5] => [1,4,6,3,2,5,7] => 1
[4,2,3,1,5,6,7] => [1,4,2,3,5,6,7] => 1
[4,2,3,1,5,7,6] => [1,4,2,3,5,6,7] => 1
[4,2,3,1,6,5,7] => [1,4,2,3,5,6,7] => 1
[4,2,3,1,6,7,5] => [1,4,2,3,5,6,7] => 1
[4,2,3,1,7,5,6] => [1,4,2,3,5,7,6] => 1
[4,2,3,1,7,6,5] => [1,4,2,3,5,7,6] => 1
[4,2,3,5,1,6,7] => [1,4,5,2,3,6,7] => 1
[4,2,3,5,1,7,6] => [1,4,5,2,3,6,7] => 1
[4,2,3,5,6,1,7] => [1,4,5,6,2,3,7] => 1
[4,2,3,5,6,7,1] => [1,4,5,6,7,2,3] => 1
[4,2,3,5,7,1,6] => [1,4,5,7,6,2,3] => 1
[4,2,3,5,7,6,1] => [1,4,5,7,2,3,6] => 1
[4,2,3,6,1,5,7] => [1,4,6,5,2,3,7] => 1
[4,2,3,6,5,1,7] => [1,4,6,2,3,5,7] => 1
[4,2,3,6,7,1,5] => [1,4,6,2,3,5,7] => 1
[4,2,5,1,3,6,7] => [1,4,2,3,5,6,7] => 1
[4,2,5,1,3,7,6] => [1,4,2,3,5,6,7] => 1
[4,2,5,1,6,3,7] => [1,4,2,3,5,6,7] => 1
[4,2,5,1,6,7,3] => [1,4,2,3,5,6,7] => 1
[4,2,5,1,7,3,6] => [1,4,2,3,5,7,6] => 1
[4,2,5,1,7,6,3] => [1,4,2,3,5,7,6] => 1
[4,2,5,3,1,6,7] => [1,4,3,5,2,6,7] => 2
[4,2,5,3,1,7,6] => [1,4,3,5,2,6,7] => 2
[4,2,5,3,6,1,7] => [1,4,3,5,6,2,7] => 2
[4,2,5,3,6,7,1] => [1,4,3,5,6,7,2] => 1
[4,2,5,3,7,1,6] => [1,4,3,5,7,6,2] => 1
[4,2,5,3,7,6,1] => [1,4,3,5,7,2,6] => 2
[4,2,5,6,1,3,7] => [1,4,6,3,5,2,7] => 2
[4,2,5,6,3,1,7] => [1,4,6,2,3,5,7] => 1
[4,2,5,6,7,1,3] => [1,4,6,2,3,5,7] => 1
[4,2,5,6,7,3,1] => [1,4,6,3,5,7,2] => 1
[4,2,6,1,3,5,7] => [1,4,2,3,6,5,7] => 2
[4,2,6,1,3,7,5] => [1,4,2,3,6,7,5] => 1
[4,2,6,1,5,3,7] => [1,4,2,3,6,5,7] => 2
[4,2,6,1,5,7,3] => [1,4,2,3,6,7,5] => 1
[4,2,6,1,7,3,5] => [1,4,2,3,6,5,7] => 2
[4,2,6,1,7,5,3] => [1,4,2,3,6,5,7] => 2
[4,2,6,3,1,5,7] => [1,4,3,6,5,2,7] => 2
[4,2,6,3,1,7,5] => [1,4,3,6,7,5,2] => 1
[4,2,6,3,5,1,7] => [1,4,3,6,2,5,7] => 2
[4,2,6,3,5,7,1] => [1,4,3,6,7,2,5] => 2
[4,2,6,3,7,1,5] => [1,4,3,6,2,5,7] => 2
[4,2,6,3,7,5,1] => [1,4,3,6,5,7,2] => 2
[4,2,6,5,1,3,7] => [1,4,5,2,3,6,7] => 1
[4,2,6,5,1,7,3] => [1,4,5,2,3,6,7] => 1
[4,2,6,5,3,1,7] => [1,4,5,3,6,2,7] => 2
[4,2,6,5,3,7,1] => [1,4,5,3,6,7,2] => 1
[4,2,6,5,7,1,3] => [1,4,5,7,3,6,2] => 1
[4,2,6,5,7,3,1] => [1,4,5,7,2,3,6] => 1
[4,2,7,1,3,5,6] => [1,4,2,3,7,6,5] => 1
[4,2,7,1,3,6,5] => [1,4,2,3,7,5,6] => 2
[4,2,7,1,5,3,6] => [1,4,2,3,7,6,5] => 1
[4,2,7,1,5,6,3] => [1,4,2,3,7,5,6] => 2
[4,2,7,1,6,3,5] => [1,4,2,3,7,5,6] => 2
[4,2,7,1,6,5,3] => [1,4,2,3,7,5,6] => 2
[4,2,7,3,1,5,6] => [1,4,3,7,6,5,2] => 1
[4,2,7,3,1,6,5] => [1,4,3,7,5,2,6] => 2
[4,2,7,3,5,1,6] => [1,4,3,7,6,2,5] => 2
[4,2,7,3,5,6,1] => [1,4,3,7,2,5,6] => 2
[4,2,7,3,6,1,5] => [1,4,3,7,5,6,2] => 2
[4,2,7,3,6,5,1] => [1,4,3,7,2,5,6] => 2
[4,2,7,5,1,3,6] => [1,4,5,2,3,7,6] => 1
[4,2,7,5,1,6,3] => [1,4,5,2,3,7,6] => 1
[4,2,7,5,3,1,6] => [1,4,5,3,7,6,2] => 1
[4,2,7,5,3,6,1] => [1,4,5,3,7,2,6] => 2
[4,2,7,5,6,1,3] => [1,4,5,6,2,3,7] => 1
[4,2,7,5,6,3,1] => [1,4,5,6,3,7,2] => 1
[4,2,7,6,1,3,5] => [1,4,6,3,7,5,2] => 1
[4,2,7,6,1,5,3] => [1,4,6,5,2,3,7] => 1
[4,2,7,6,3,1,5] => [1,4,6,2,3,7,5] => 1
[4,2,7,6,3,5,1] => [1,4,6,5,3,7,2] => 1
[4,2,7,6,5,1,3] => [1,4,6,2,3,7,5] => 1
[4,2,7,6,5,3,1] => [1,4,6,3,7,2,5] => 2
[4,3,1,2,5,6,7] => [1,4,2,3,5,6,7] => 1
[4,3,1,2,5,7,6] => [1,4,2,3,5,6,7] => 1
[4,3,1,2,6,5,7] => [1,4,2,3,5,6,7] => 1
[4,3,1,2,6,7,5] => [1,4,2,3,5,6,7] => 1
[4,3,1,2,7,5,6] => [1,4,2,3,5,7,6] => 1
[4,3,1,2,7,6,5] => [1,4,2,3,5,7,6] => 1
[4,3,1,5,2,6,7] => [1,4,5,2,3,6,7] => 1
[4,3,1,5,2,7,6] => [1,4,5,2,3,6,7] => 1
[4,3,1,5,6,2,7] => [1,4,5,6,2,3,7] => 1
[4,3,1,5,6,7,2] => [1,4,5,6,7,2,3] => 1
[4,3,1,5,7,2,6] => [1,4,5,7,6,2,3] => 1
[4,3,1,5,7,6,2] => [1,4,5,7,2,3,6] => 1
[4,3,1,6,2,5,7] => [1,4,6,5,2,3,7] => 1
[4,3,1,6,5,2,7] => [1,4,6,2,3,5,7] => 1
[4,3,1,6,7,2,5] => [1,4,6,2,3,5,7] => 1
[4,3,2,1,5,6,7] => [1,4,2,3,5,6,7] => 1
[4,3,2,1,5,7,6] => [1,4,2,3,5,6,7] => 1
[4,3,2,1,6,5,7] => [1,4,2,3,5,6,7] => 1
[4,3,2,1,6,7,5] => [1,4,2,3,5,6,7] => 1
[4,3,2,1,7,5,6] => [1,4,2,3,5,7,6] => 1
[4,3,2,1,7,6,5] => [1,4,2,3,5,7,6] => 1
[4,3,2,5,1,6,7] => [1,4,5,2,3,6,7] => 1
[4,3,2,5,1,7,6] => [1,4,5,2,3,6,7] => 1
[4,3,2,5,6,1,7] => [1,4,5,6,2,3,7] => 1
[4,3,2,5,6,7,1] => [1,4,5,6,7,2,3] => 1
[4,3,2,5,7,1,6] => [1,4,5,7,6,2,3] => 1
[4,3,2,5,7,6,1] => [1,4,5,7,2,3,6] => 1
[4,3,2,6,1,5,7] => [1,4,6,5,2,3,7] => 1
[4,3,2,6,5,1,7] => [1,4,6,2,3,5,7] => 1
[4,3,2,6,7,1,5] => [1,4,6,2,3,5,7] => 1
[4,3,5,1,2,6,7] => [1,4,2,3,5,6,7] => 1
[4,3,5,1,2,7,6] => [1,4,2,3,5,6,7] => 1
[4,3,5,1,6,2,7] => [1,4,2,3,5,6,7] => 1
[4,3,5,1,6,7,2] => [1,4,2,3,5,6,7] => 1
[4,3,5,1,7,2,6] => [1,4,2,3,5,7,6] => 1
[4,3,5,1,7,6,2] => [1,4,2,3,5,7,6] => 1
[4,3,5,2,1,6,7] => [1,4,2,3,5,6,7] => 1
[4,3,5,2,1,7,6] => [1,4,2,3,5,6,7] => 1
[4,3,5,2,6,1,7] => [1,4,2,3,5,6,7] => 1
[4,3,5,2,6,7,1] => [1,4,2,3,5,6,7] => 1
[4,3,5,2,7,1,6] => [1,4,2,3,5,7,6] => 1
[4,3,5,2,7,6,1] => [1,4,2,3,5,7,6] => 1
[4,3,5,6,1,2,7] => [1,4,6,2,3,5,7] => 1
[4,3,5,6,2,1,7] => [1,4,6,2,3,5,7] => 1
[4,3,5,6,7,1,2] => [1,4,6,2,3,5,7] => 1
[4,3,5,6,7,2,1] => [1,4,6,2,3,5,7] => 1
[4,3,6,1,2,5,7] => [1,4,2,3,6,5,7] => 2
[4,3,6,1,2,7,5] => [1,4,2,3,6,7,5] => 1
[4,3,6,1,5,2,7] => [1,4,2,3,6,5,7] => 2
[4,3,6,1,5,7,2] => [1,4,2,3,6,7,5] => 1
[4,3,6,1,7,2,5] => [1,4,2,3,6,5,7] => 2
[4,3,6,1,7,5,2] => [1,4,2,3,6,5,7] => 2
[4,3,6,2,1,5,7] => [1,4,2,3,6,5,7] => 2
[4,3,6,2,1,7,5] => [1,4,2,3,6,7,5] => 1
[4,3,6,2,5,1,7] => [1,4,2,3,6,5,7] => 2
[4,3,6,2,5,7,1] => [1,4,2,3,6,7,5] => 1
[4,3,6,2,7,1,5] => [1,4,2,3,6,5,7] => 2
[4,3,6,2,7,5,1] => [1,4,2,3,6,5,7] => 2
[4,3,6,5,1,2,7] => [1,4,5,2,3,6,7] => 1
[4,3,6,5,1,7,2] => [1,4,5,2,3,6,7] => 1
[4,3,6,5,2,1,7] => [1,4,5,2,3,6,7] => 1
[4,3,6,5,2,7,1] => [1,4,5,2,3,6,7] => 1
[4,3,6,5,7,1,2] => [1,4,5,7,2,3,6] => 1
[4,3,6,5,7,2,1] => [1,4,5,7,2,3,6] => 1
[4,3,7,1,2,5,6] => [1,4,2,3,7,6,5] => 1
[4,3,7,1,2,6,5] => [1,4,2,3,7,5,6] => 2
[4,3,7,1,5,2,6] => [1,4,2,3,7,6,5] => 1
[4,3,7,1,5,6,2] => [1,4,2,3,7,5,6] => 2
[4,3,7,1,6,2,5] => [1,4,2,3,7,5,6] => 2
[4,3,7,1,6,5,2] => [1,4,2,3,7,5,6] => 2
[4,3,7,2,1,5,6] => [1,4,2,3,7,6,5] => 1
[4,3,7,2,1,6,5] => [1,4,2,3,7,5,6] => 2
[4,3,7,2,5,1,6] => [1,4,2,3,7,6,5] => 1
[4,3,7,2,5,6,1] => [1,4,2,3,7,5,6] => 2
[4,3,7,2,6,1,5] => [1,4,2,3,7,5,6] => 2
[4,3,7,2,6,5,1] => [1,4,2,3,7,5,6] => 2
[4,3,7,5,1,2,6] => [1,4,5,2,3,7,6] => 1
[4,3,7,5,1,6,2] => [1,4,5,2,3,7,6] => 1
[4,3,7,5,2,1,6] => [1,4,5,2,3,7,6] => 1
[4,3,7,5,2,6,1] => [1,4,5,2,3,7,6] => 1
[4,3,7,5,6,1,2] => [1,4,5,6,2,3,7] => 1
[4,3,7,5,6,2,1] => [1,4,5,6,2,3,7] => 1
[4,3,7,6,1,2,5] => [1,4,6,2,3,7,5] => 1
[4,3,7,6,1,5,2] => [1,4,6,5,2,3,7] => 1
[4,3,7,6,2,1,5] => [1,4,6,2,3,7,5] => 1
[4,3,7,6,2,5,1] => [1,4,6,5,2,3,7] => 1
[4,3,7,6,5,1,2] => [1,4,6,2,3,7,5] => 1
[4,3,7,6,5,2,1] => [1,4,6,2,3,7,5] => 1
[4,5,1,2,3,6,7] => [1,4,2,5,3,6,7] => 2
[4,5,1,2,3,7,6] => [1,4,2,5,3,6,7] => 2
[4,5,1,2,6,3,7] => [1,4,2,5,6,3,7] => 2
[4,5,1,2,6,7,3] => [1,4,2,5,6,7,3] => 1
[4,5,1,2,7,3,6] => [1,4,2,5,7,6,3] => 1
[4,5,1,2,7,6,3] => [1,4,2,5,7,3,6] => 2
[4,5,1,3,2,6,7] => [1,4,3,2,5,6,7] => 1
[4,5,1,3,2,7,6] => [1,4,3,2,5,6,7] => 1
[4,5,1,3,6,2,7] => [1,4,3,2,5,6,7] => 1
[4,5,1,3,6,7,2] => [1,4,3,2,5,6,7] => 1
[4,5,1,3,7,2,6] => [1,4,3,2,5,7,6] => 1
[4,5,1,3,7,6,2] => [1,4,3,2,5,7,6] => 1
[4,5,1,6,2,3,7] => [1,4,6,3,2,5,7] => 1
[4,5,1,6,3,2,7] => [1,4,6,2,5,3,7] => 2
[4,5,1,6,7,2,3] => [1,4,6,2,5,7,3] => 1
[4,5,1,6,7,3,2] => [1,4,6,3,2,5,7] => 1
[4,5,2,1,3,6,7] => [1,4,2,5,3,6,7] => 2
[4,5,2,1,3,7,6] => [1,4,2,5,3,6,7] => 2
[4,5,2,1,6,3,7] => [1,4,2,5,6,3,7] => 2
[4,5,2,1,6,7,3] => [1,4,2,5,6,7,3] => 1
[4,5,2,1,7,3,6] => [1,4,2,5,7,6,3] => 1
[4,5,2,1,7,6,3] => [1,4,2,5,7,3,6] => 2
[4,5,2,3,1,6,7] => [1,4,3,2,5,6,7] => 1
[4,5,2,3,1,7,6] => [1,4,3,2,5,6,7] => 1
[4,5,2,3,6,1,7] => [1,4,3,2,5,6,7] => 1
[4,5,2,3,6,7,1] => [1,4,3,2,5,6,7] => 1
[4,5,2,3,7,1,6] => [1,4,3,2,5,7,6] => 1
[4,5,2,3,7,6,1] => [1,4,3,2,5,7,6] => 1
[4,5,2,6,1,3,7] => [1,4,6,3,2,5,7] => 1
[4,5,2,6,3,1,7] => [1,4,6,2,5,3,7] => 2
[4,5,2,6,7,1,3] => [1,4,6,2,5,7,3] => 1
[4,5,2,6,7,3,1] => [1,4,6,3,2,5,7] => 1
[4,5,3,1,2,6,7] => [1,4,2,5,3,6,7] => 2
[4,5,3,1,2,7,6] => [1,4,2,5,3,6,7] => 2
[4,5,3,1,6,2,7] => [1,4,2,5,6,3,7] => 2
[4,5,3,1,6,7,2] => [1,4,2,5,6,7,3] => 1
[4,5,3,1,7,2,6] => [1,4,2,5,7,6,3] => 1
[4,5,3,1,7,6,2] => [1,4,2,5,7,3,6] => 2
[4,5,3,2,1,6,7] => [1,4,2,5,3,6,7] => 2
[4,5,3,2,1,7,6] => [1,4,2,5,3,6,7] => 2
[4,5,3,2,6,1,7] => [1,4,2,5,6,3,7] => 2
[4,5,3,2,6,7,1] => [1,4,2,5,6,7,3] => 1
[4,5,3,2,7,1,6] => [1,4,2,5,7,6,3] => 1
[4,5,3,2,7,6,1] => [1,4,2,5,7,3,6] => 2
[4,5,3,6,1,2,7] => [1,4,6,2,5,3,7] => 2
[4,5,3,6,2,1,7] => [1,4,6,2,5,3,7] => 2
[4,5,3,6,7,1,2] => [1,4,6,2,5,7,3] => 1
[4,5,3,6,7,2,1] => [1,4,6,2,5,7,3] => 1
[4,5,6,1,2,3,7] => [1,4,2,5,3,6,7] => 2
[4,5,6,1,2,7,3] => [1,4,2,5,3,6,7] => 2
[4,5,6,1,3,2,7] => [1,4,2,5,3,6,7] => 2
[4,5,6,1,3,7,2] => [1,4,2,5,3,6,7] => 2
[4,5,6,1,7,2,3] => [1,4,2,5,7,3,6] => 2
[4,5,6,1,7,3,2] => [1,4,2,5,7,3,6] => 2
[4,5,6,2,1,3,7] => [1,4,2,5,3,6,7] => 2
[4,5,6,2,1,7,3] => [1,4,2,5,3,6,7] => 2
[4,5,6,2,3,1,7] => [1,4,2,5,3,6,7] => 2
[4,5,6,2,3,7,1] => [1,4,2,5,3,6,7] => 2
[4,5,6,2,7,1,3] => [1,4,2,5,7,3,6] => 2
[4,5,6,2,7,3,1] => [1,4,2,5,7,3,6] => 2
[4,5,6,3,1,2,7] => [1,4,3,6,2,5,7] => 2
[4,5,6,3,1,7,2] => [1,4,3,6,7,2,5] => 2
[4,5,6,3,2,1,7] => [1,4,3,6,2,5,7] => 2
[4,5,6,3,2,7,1] => [1,4,3,6,7,2,5] => 2
[4,5,6,3,7,1,2] => [1,4,3,6,2,5,7] => 2
[4,5,6,3,7,2,1] => [1,4,3,6,2,5,7] => 2
[4,5,7,1,2,3,6] => [1,4,2,5,3,7,6] => 2
[4,5,7,1,2,6,3] => [1,4,2,5,3,7,6] => 2
[4,5,7,1,3,2,6] => [1,4,2,5,3,7,6] => 2
[4,5,7,1,3,6,2] => [1,4,2,5,3,7,6] => 2
[4,5,7,1,6,2,3] => [1,4,2,5,6,3,7] => 2
[4,5,7,1,6,3,2] => [1,4,2,5,6,3,7] => 2
[4,5,7,2,1,3,6] => [1,4,2,5,3,7,6] => 2
[4,5,7,2,1,6,3] => [1,4,2,5,3,7,6] => 2
[4,5,7,2,3,1,6] => [1,4,2,5,3,7,6] => 2
[4,5,7,2,3,6,1] => [1,4,2,5,3,7,6] => 2
[4,5,7,2,6,1,3] => [1,4,2,5,6,3,7] => 2
[4,5,7,2,6,3,1] => [1,4,2,5,6,3,7] => 2
[4,5,7,3,1,2,6] => [1,4,3,7,6,2,5] => 2
[4,5,7,3,1,6,2] => [1,4,3,7,2,5,6] => 2
[4,5,7,3,2,1,6] => [1,4,3,7,6,2,5] => 2
[4,5,7,3,2,6,1] => [1,4,3,7,2,5,6] => 2
[4,5,7,3,6,1,2] => [1,4,3,7,2,5,6] => 2
[4,5,7,3,6,2,1] => [1,4,3,7,2,5,6] => 2
[4,5,7,6,1,2,3] => [1,4,6,2,5,3,7] => 2
[4,5,7,6,1,3,2] => [1,4,6,3,7,2,5] => 2
[4,5,7,6,2,1,3] => [1,4,6,2,5,3,7] => 2
[4,5,7,6,2,3,1] => [1,4,6,3,7,2,5] => 2
[4,5,7,6,3,1,2] => [1,4,6,2,5,3,7] => 2
[4,5,7,6,3,2,1] => [1,4,6,2,5,3,7] => 2
[4,6,1,2,3,5,7] => [1,4,2,6,5,3,7] => 2
[4,6,1,2,3,7,5] => [1,4,2,6,7,5,3] => 1
[4,6,1,2,5,3,7] => [1,4,2,6,3,5,7] => 2
[4,6,1,2,5,7,3] => [1,4,2,6,7,3,5] => 2
[4,6,1,2,7,3,5] => [1,4,2,6,3,5,7] => 2
[4,6,1,2,7,5,3] => [1,4,2,6,5,7,3] => 2
[4,6,1,3,2,5,7] => [1,4,3,2,6,5,7] => 2
[4,6,1,3,2,7,5] => [1,4,3,2,6,7,5] => 1
[4,6,1,3,5,2,7] => [1,4,3,2,6,5,7] => 2
[4,6,1,3,5,7,2] => [1,4,3,2,6,7,5] => 1
[4,6,1,3,7,2,5] => [1,4,3,2,6,5,7] => 2
[4,6,1,3,7,5,2] => [1,4,3,2,6,5,7] => 2
[4,6,1,5,2,3,7] => [1,4,5,2,6,3,7] => 2
[4,6,1,5,2,7,3] => [1,4,5,2,6,7,3] => 1
[4,6,1,5,3,2,7] => [1,4,5,3,2,6,7] => 1
[4,6,1,5,3,7,2] => [1,4,5,3,2,6,7] => 1
[4,6,1,5,7,2,3] => [1,4,5,7,3,2,6] => 1
[4,6,1,5,7,3,2] => [1,4,5,7,2,6,3] => 1
[4,6,2,1,3,5,7] => [1,4,2,6,5,3,7] => 2
[4,6,2,1,3,7,5] => [1,4,2,6,7,5,3] => 1
[4,6,2,1,5,3,7] => [1,4,2,6,3,5,7] => 2
[4,6,2,1,5,7,3] => [1,4,2,6,7,3,5] => 2
[4,6,2,1,7,3,5] => [1,4,2,6,3,5,7] => 2
[4,6,2,1,7,5,3] => [1,4,2,6,5,7,3] => 2
[4,6,2,3,1,5,7] => [1,4,3,2,6,5,7] => 2
[4,6,2,3,1,7,5] => [1,4,3,2,6,7,5] => 1
[4,6,2,3,5,1,7] => [1,4,3,2,6,5,7] => 2
[4,6,2,3,5,7,1] => [1,4,3,2,6,7,5] => 1
[4,6,2,3,7,1,5] => [1,4,3,2,6,5,7] => 2
[4,6,2,3,7,5,1] => [1,4,3,2,6,5,7] => 2
[4,6,2,5,1,3,7] => [1,4,5,2,6,3,7] => 2
[4,6,2,5,1,7,3] => [1,4,5,2,6,7,3] => 1
[4,6,2,5,3,1,7] => [1,4,5,3,2,6,7] => 1
[4,6,2,5,3,7,1] => [1,4,5,3,2,6,7] => 1
[4,6,2,5,7,1,3] => [1,4,5,7,3,2,6] => 1
[4,6,2,5,7,3,1] => [1,4,5,7,2,6,3] => 1
[4,6,3,1,2,5,7] => [1,4,2,6,5,3,7] => 2
[4,6,3,1,2,7,5] => [1,4,2,6,7,5,3] => 1
[4,6,3,1,5,2,7] => [1,4,2,6,3,5,7] => 2
[4,6,3,1,5,7,2] => [1,4,2,6,7,3,5] => 2
[4,6,3,1,7,2,5] => [1,4,2,6,3,5,7] => 2
[4,6,3,1,7,5,2] => [1,4,2,6,5,7,3] => 2
[4,6,3,2,1,5,7] => [1,4,2,6,5,3,7] => 2
[4,6,3,2,1,7,5] => [1,4,2,6,7,5,3] => 1
[4,6,3,2,5,1,7] => [1,4,2,6,3,5,7] => 2
[4,6,3,2,5,7,1] => [1,4,2,6,7,3,5] => 2
[4,6,3,2,7,1,5] => [1,4,2,6,3,5,7] => 2
[4,6,3,2,7,5,1] => [1,4,2,6,5,7,3] => 2
[4,6,3,5,1,2,7] => [1,4,5,2,6,3,7] => 2
[4,6,3,5,1,7,2] => [1,4,5,2,6,7,3] => 1
[4,6,3,5,2,1,7] => [1,4,5,2,6,3,7] => 2
[4,6,3,5,2,7,1] => [1,4,5,2,6,7,3] => 1
[4,6,3,5,7,1,2] => [1,4,5,7,2,6,3] => 1
[4,6,3,5,7,2,1] => [1,4,5,7,2,6,3] => 1
[4,6,5,1,2,3,7] => [1,4,2,6,3,5,7] => 2
[4,6,5,1,2,7,3] => [1,4,2,6,7,3,5] => 2
[4,6,5,1,3,2,7] => [1,4,2,6,3,5,7] => 2
[4,6,5,1,3,7,2] => [1,4,2,6,7,3,5] => 2
[4,6,5,1,7,2,3] => [1,4,2,6,3,5,7] => 2
[4,6,5,1,7,3,2] => [1,4,2,6,3,5,7] => 2
[4,6,5,2,1,3,7] => [1,4,2,6,3,5,7] => 2
[4,6,5,2,1,7,3] => [1,4,2,6,7,3,5] => 2
[4,6,5,2,3,1,7] => [1,4,2,6,3,5,7] => 2
[4,6,5,2,3,7,1] => [1,4,2,6,7,3,5] => 2
[4,6,5,2,7,1,3] => [1,4,2,6,3,5,7] => 2
[4,6,5,2,7,3,1] => [1,4,2,6,3,5,7] => 2
[4,6,5,3,1,2,7] => [1,4,3,5,2,6,7] => 2
[4,6,5,3,1,7,2] => [1,4,3,5,2,6,7] => 2
[4,6,5,3,2,1,7] => [1,4,3,5,2,6,7] => 2
[4,6,5,3,2,7,1] => [1,4,3,5,2,6,7] => 2
[4,6,5,3,7,1,2] => [1,4,3,5,7,2,6] => 2
[4,6,5,3,7,2,1] => [1,4,3,5,7,2,6] => 2
[4,6,7,1,2,3,5] => [1,4,2,6,3,7,5] => 2
[4,6,7,1,2,5,3] => [1,4,2,6,5,3,7] => 2
[4,6,7,1,3,2,5] => [1,4,2,6,3,7,5] => 2
[4,6,7,1,3,5,2] => [1,4,2,6,5,3,7] => 2
[4,6,7,1,5,2,3] => [1,4,2,6,3,7,5] => 2
[4,6,7,1,5,3,2] => [1,4,2,6,3,7,5] => 2
[4,6,7,2,1,3,5] => [1,4,2,6,3,7,5] => 2
[4,6,7,2,1,5,3] => [1,4,2,6,5,3,7] => 2
[4,6,7,2,3,1,5] => [1,4,2,6,3,7,5] => 2
[4,6,7,2,3,5,1] => [1,4,2,6,5,3,7] => 2
[4,6,7,2,5,1,3] => [1,4,2,6,3,7,5] => 2
[4,6,7,2,5,3,1] => [1,4,2,6,3,7,5] => 2
[4,6,7,3,1,2,5] => [1,4,3,7,5,2,6] => 2
[4,6,7,3,1,5,2] => [1,4,3,7,2,6,5] => 2
[4,6,7,3,2,1,5] => [1,4,3,7,5,2,6] => 2
[4,6,7,3,2,5,1] => [1,4,3,7,2,6,5] => 2
[4,6,7,3,5,1,2] => [1,4,3,7,2,6,5] => 2
[4,6,7,3,5,2,1] => [1,4,3,7,2,6,5] => 2
[4,6,7,5,1,2,3] => [1,4,5,2,6,3,7] => 2
[4,6,7,5,1,3,2] => [1,4,5,2,6,3,7] => 2
[4,6,7,5,2,1,3] => [1,4,5,2,6,3,7] => 2
[4,6,7,5,2,3,1] => [1,4,5,2,6,3,7] => 2
[4,6,7,5,3,1,2] => [1,4,5,3,7,2,6] => 2
[4,6,7,5,3,2,1] => [1,4,5,3,7,2,6] => 2
[4,7,1,2,3,5,6] => [1,4,2,7,6,5,3] => 1
[4,7,1,2,3,6,5] => [1,4,2,7,5,3,6] => 2
[4,7,1,2,5,3,6] => [1,4,2,7,6,3,5] => 2
[4,7,1,2,5,6,3] => [1,4,2,7,3,5,6] => 2
[4,7,1,2,6,3,5] => [1,4,2,7,5,6,3] => 2
[4,7,1,2,6,5,3] => [1,4,2,7,3,5,6] => 2
[4,7,1,3,2,5,6] => [1,4,3,2,7,6,5] => 1
[4,7,1,3,2,6,5] => [1,4,3,2,7,5,6] => 2
[4,7,1,3,5,2,6] => [1,4,3,2,7,6,5] => 1
[4,7,1,3,5,6,2] => [1,4,3,2,7,5,6] => 2
[4,7,1,3,6,2,5] => [1,4,3,2,7,5,6] => 2
[4,7,1,3,6,5,2] => [1,4,3,2,7,5,6] => 2
[4,7,1,5,2,3,6] => [1,4,5,2,7,6,3] => 1
[4,7,1,5,2,6,3] => [1,4,5,2,7,3,6] => 2
[4,7,1,5,3,2,6] => [1,4,5,3,2,7,6] => 1
[4,7,1,5,3,6,2] => [1,4,5,3,2,7,6] => 1
[4,7,1,5,6,2,3] => [1,4,5,6,2,7,3] => 1
[4,7,1,5,6,3,2] => [1,4,5,6,3,2,7] => 1
[4,7,1,6,2,3,5] => [1,4,6,3,2,7,5] => 1
[4,7,1,6,2,5,3] => [1,4,6,5,2,7,3] => 1
[4,7,1,6,3,2,5] => [1,4,6,2,7,5,3] => 1
[4,7,1,6,3,5,2] => [1,4,6,5,3,2,7] => 1
[4,7,1,6,5,2,3] => [1,4,6,2,7,3,5] => 2
[4,7,1,6,5,3,2] => [1,4,6,3,2,7,5] => 1
[4,7,2,1,3,5,6] => [1,4,2,7,6,5,3] => 1
[4,7,2,1,3,6,5] => [1,4,2,7,5,3,6] => 2
[4,7,2,1,5,3,6] => [1,4,2,7,6,3,5] => 2
[4,7,2,1,5,6,3] => [1,4,2,7,3,5,6] => 2
[4,7,2,1,6,3,5] => [1,4,2,7,5,6,3] => 2
[4,7,2,1,6,5,3] => [1,4,2,7,3,5,6] => 2
[4,7,2,3,1,5,6] => [1,4,3,2,7,6,5] => 1
[4,7,2,3,1,6,5] => [1,4,3,2,7,5,6] => 2
[4,7,2,3,5,1,6] => [1,4,3,2,7,6,5] => 1
[4,7,2,3,5,6,1] => [1,4,3,2,7,5,6] => 2
[4,7,2,3,6,1,5] => [1,4,3,2,7,5,6] => 2
[4,7,2,3,6,5,1] => [1,4,3,2,7,5,6] => 2
[4,7,2,5,1,3,6] => [1,4,5,2,7,6,3] => 1
[4,7,2,5,1,6,3] => [1,4,5,2,7,3,6] => 2
[4,7,2,5,3,1,6] => [1,4,5,3,2,7,6] => 1
[4,7,2,5,3,6,1] => [1,4,5,3,2,7,6] => 1
[4,7,2,5,6,1,3] => [1,4,5,6,2,7,3] => 1
[4,7,2,5,6,3,1] => [1,4,5,6,3,2,7] => 1
[4,7,2,6,1,3,5] => [1,4,6,3,2,7,5] => 1
[4,7,2,6,1,5,3] => [1,4,6,5,2,7,3] => 1
[4,7,2,6,3,1,5] => [1,4,6,2,7,5,3] => 1
[4,7,2,6,3,5,1] => [1,4,6,5,3,2,7] => 1
[4,7,2,6,5,1,3] => [1,4,6,2,7,3,5] => 2
[4,7,2,6,5,3,1] => [1,4,6,3,2,7,5] => 1
[4,7,3,1,2,5,6] => [1,4,2,7,6,5,3] => 1
[4,7,3,1,2,6,5] => [1,4,2,7,5,3,6] => 2
[4,7,3,1,5,2,6] => [1,4,2,7,6,3,5] => 2
[4,7,3,1,5,6,2] => [1,4,2,7,3,5,6] => 2
[4,7,3,1,6,2,5] => [1,4,2,7,5,6,3] => 2
[4,7,3,1,6,5,2] => [1,4,2,7,3,5,6] => 2
[4,7,3,2,1,5,6] => [1,4,2,7,6,5,3] => 1
[4,7,3,2,1,6,5] => [1,4,2,7,5,3,6] => 2
[4,7,3,2,5,1,6] => [1,4,2,7,6,3,5] => 2
[4,7,3,2,5,6,1] => [1,4,2,7,3,5,6] => 2
[4,7,3,2,6,1,5] => [1,4,2,7,5,6,3] => 2
[4,7,3,2,6,5,1] => [1,4,2,7,3,5,6] => 2
[4,7,3,5,1,2,6] => [1,4,5,2,7,6,3] => 1
[4,7,3,5,1,6,2] => [1,4,5,2,7,3,6] => 2
[4,7,3,5,2,1,6] => [1,4,5,2,7,6,3] => 1
[4,7,3,5,2,6,1] => [1,4,5,2,7,3,6] => 2
[4,7,3,5,6,1,2] => [1,4,5,6,2,7,3] => 1
[4,7,3,5,6,2,1] => [1,4,5,6,2,7,3] => 1
[4,7,3,6,1,2,5] => [1,4,6,2,7,5,3] => 1
[4,7,3,6,1,5,2] => [1,4,6,5,2,7,3] => 1
[4,7,3,6,2,1,5] => [1,4,6,2,7,5,3] => 1
[4,7,3,6,2,5,1] => [1,4,6,5,2,7,3] => 1
[4,7,3,6,5,1,2] => [1,4,6,2,7,3,5] => 2
[4,7,3,6,5,2,1] => [1,4,6,2,7,3,5] => 2
[4,7,5,1,2,3,6] => [1,4,2,7,6,3,5] => 2
[4,7,5,1,2,6,3] => [1,4,2,7,3,5,6] => 2
[4,7,5,1,3,2,6] => [1,4,2,7,6,3,5] => 2
[4,7,5,1,3,6,2] => [1,4,2,7,3,5,6] => 2
[4,7,5,1,6,2,3] => [1,4,2,7,3,5,6] => 2
[4,7,5,1,6,3,2] => [1,4,2,7,3,5,6] => 2
[4,7,5,2,1,3,6] => [1,4,2,7,6,3,5] => 2
[4,7,5,2,1,6,3] => [1,4,2,7,3,5,6] => 2
[4,7,5,2,3,1,6] => [1,4,2,7,6,3,5] => 2
[4,7,5,2,3,6,1] => [1,4,2,7,3,5,6] => 2
[4,7,5,2,6,1,3] => [1,4,2,7,3,5,6] => 2
[4,7,5,2,6,3,1] => [1,4,2,7,3,5,6] => 2
[4,7,5,3,1,2,6] => [1,4,3,5,2,7,6] => 2
[4,7,5,3,1,6,2] => [1,4,3,5,2,7,6] => 2
[4,7,5,3,2,1,6] => [1,4,3,5,2,7,6] => 2
[4,7,5,3,2,6,1] => [1,4,3,5,2,7,6] => 2
[4,7,5,3,6,1,2] => [1,4,3,5,6,2,7] => 2
[4,7,5,3,6,2,1] => [1,4,3,5,6,2,7] => 2
[4,7,5,6,1,2,3] => [1,4,6,2,7,3,5] => 2
[4,7,5,6,1,3,2] => [1,4,6,3,5,2,7] => 2
[4,7,5,6,2,1,3] => [1,4,6,2,7,3,5] => 2
[4,7,5,6,2,3,1] => [1,4,6,3,5,2,7] => 2
[4,7,5,6,3,1,2] => [1,4,6,2,7,3,5] => 2
[4,7,5,6,3,2,1] => [1,4,6,2,7,3,5] => 2
[4,7,6,1,2,3,5] => [1,4,2,7,5,3,6] => 2
[4,7,6,1,2,5,3] => [1,4,2,7,3,6,5] => 2
[4,7,6,1,3,2,5] => [1,4,2,7,5,3,6] => 2
[4,7,6,1,3,5,2] => [1,4,2,7,3,6,5] => 2
[4,7,6,1,5,2,3] => [1,4,2,7,3,6,5] => 2
[4,7,6,1,5,3,2] => [1,4,2,7,3,6,5] => 2
[4,7,6,2,1,3,5] => [1,4,2,7,5,3,6] => 2
[4,7,6,2,1,5,3] => [1,4,2,7,3,6,5] => 2
[4,7,6,2,3,1,5] => [1,4,2,7,5,3,6] => 2
[4,7,6,2,3,5,1] => [1,4,2,7,3,6,5] => 2
[4,7,6,2,5,1,3] => [1,4,2,7,3,6,5] => 2
[4,7,6,2,5,3,1] => [1,4,2,7,3,6,5] => 2
[4,7,6,3,1,2,5] => [1,4,3,6,2,7,5] => 2
[4,7,6,3,1,5,2] => [1,4,3,6,5,2,7] => 2
[4,7,6,3,2,1,5] => [1,4,3,6,2,7,5] => 2
[4,7,6,3,2,5,1] => [1,4,3,6,5,2,7] => 2
[4,7,6,3,5,1,2] => [1,4,3,6,2,7,5] => 2
[4,7,6,3,5,2,1] => [1,4,3,6,2,7,5] => 2
[4,7,6,5,1,2,3] => [1,4,5,2,7,3,6] => 2
[4,7,6,5,1,3,2] => [1,4,5,2,7,3,6] => 2
[4,7,6,5,2,1,3] => [1,4,5,2,7,3,6] => 2
[4,7,6,5,2,3,1] => [1,4,5,2,7,3,6] => 2
[4,7,6,5,3,1,2] => [1,4,5,3,6,2,7] => 2
[4,7,6,5,3,2,1] => [1,4,5,3,6,2,7] => 2
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
16,8 40,80 96,528,96
F2=2
F3=6
F4=16+8 q
F5=40+80 q
F6=96+528 q+96 q2
Description
The number of inner valleys of a permutation.
The number of valleys including the boundary is St000099The number of valleys of a permutation, including the boundary..
The number of valleys including the boundary is St000099The number of valleys of a permutation, including the boundary..
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
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