Identifier
-
Mp00252:
Permutations
—restriction⟶
Permutations
Mp00090: Permutations —cycle-as-one-line notation⟶ Permutations
St000035: Permutations ⟶ ℤ
Values
[1] => [] => [] => 0
[1,2] => [1] => [1] => 0
[2,1] => [1] => [1] => 0
[1,2,3] => [1,2] => [1,2] => 0
[1,3,2] => [1,2] => [1,2] => 0
[2,1,3] => [2,1] => [1,2] => 0
[2,3,1] => [2,1] => [1,2] => 0
[3,1,2] => [1,2] => [1,2] => 0
[3,2,1] => [2,1] => [1,2] => 0
[1,2,3,4] => [1,2,3] => [1,2,3] => 0
[1,2,4,3] => [1,2,3] => [1,2,3] => 0
[1,3,2,4] => [1,3,2] => [1,2,3] => 0
[1,3,4,2] => [1,3,2] => [1,2,3] => 0
[1,4,2,3] => [1,2,3] => [1,2,3] => 0
[1,4,3,2] => [1,3,2] => [1,2,3] => 0
[2,1,3,4] => [2,1,3] => [1,2,3] => 0
[2,1,4,3] => [2,1,3] => [1,2,3] => 0
[2,3,1,4] => [2,3,1] => [1,2,3] => 0
[2,3,4,1] => [2,3,1] => [1,2,3] => 0
[2,4,1,3] => [2,1,3] => [1,2,3] => 0
[2,4,3,1] => [2,3,1] => [1,2,3] => 0
[3,1,2,4] => [3,1,2] => [1,3,2] => 1
[3,1,4,2] => [3,1,2] => [1,3,2] => 1
[3,2,1,4] => [3,2,1] => [1,3,2] => 1
[3,2,4,1] => [3,2,1] => [1,3,2] => 1
[3,4,1,2] => [3,1,2] => [1,3,2] => 1
[3,4,2,1] => [3,2,1] => [1,3,2] => 1
[4,1,2,3] => [1,2,3] => [1,2,3] => 0
[4,1,3,2] => [1,3,2] => [1,2,3] => 0
[4,2,1,3] => [2,1,3] => [1,2,3] => 0
[4,2,3,1] => [2,3,1] => [1,2,3] => 0
[4,3,1,2] => [3,1,2] => [1,3,2] => 1
[4,3,2,1] => [3,2,1] => [1,3,2] => 1
[1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[1,2,3,5,4] => [1,2,3,4] => [1,2,3,4] => 0
[1,2,4,3,5] => [1,2,4,3] => [1,2,3,4] => 0
[1,2,4,5,3] => [1,2,4,3] => [1,2,3,4] => 0
[1,2,5,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[1,2,5,4,3] => [1,2,4,3] => [1,2,3,4] => 0
[1,3,2,4,5] => [1,3,2,4] => [1,2,3,4] => 0
[1,3,2,5,4] => [1,3,2,4] => [1,2,3,4] => 0
[1,3,4,2,5] => [1,3,4,2] => [1,2,3,4] => 0
[1,3,4,5,2] => [1,3,4,2] => [1,2,3,4] => 0
[1,3,5,2,4] => [1,3,2,4] => [1,2,3,4] => 0
[1,3,5,4,2] => [1,3,4,2] => [1,2,3,4] => 0
[1,4,2,3,5] => [1,4,2,3] => [1,2,4,3] => 1
[1,4,2,5,3] => [1,4,2,3] => [1,2,4,3] => 1
[1,4,3,2,5] => [1,4,3,2] => [1,2,4,3] => 1
[1,4,3,5,2] => [1,4,3,2] => [1,2,4,3] => 1
[1,4,5,2,3] => [1,4,2,3] => [1,2,4,3] => 1
[1,4,5,3,2] => [1,4,3,2] => [1,2,4,3] => 1
[1,5,2,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[1,5,2,4,3] => [1,2,4,3] => [1,2,3,4] => 0
[1,5,3,2,4] => [1,3,2,4] => [1,2,3,4] => 0
[1,5,3,4,2] => [1,3,4,2] => [1,2,3,4] => 0
[1,5,4,2,3] => [1,4,2,3] => [1,2,4,3] => 1
[1,5,4,3,2] => [1,4,3,2] => [1,2,4,3] => 1
[2,1,3,4,5] => [2,1,3,4] => [1,2,3,4] => 0
[2,1,3,5,4] => [2,1,3,4] => [1,2,3,4] => 0
[2,1,4,3,5] => [2,1,4,3] => [1,2,3,4] => 0
[2,1,4,5,3] => [2,1,4,3] => [1,2,3,4] => 0
[2,1,5,3,4] => [2,1,3,4] => [1,2,3,4] => 0
[2,1,5,4,3] => [2,1,4,3] => [1,2,3,4] => 0
[2,3,1,4,5] => [2,3,1,4] => [1,2,3,4] => 0
[2,3,1,5,4] => [2,3,1,4] => [1,2,3,4] => 0
[2,3,4,1,5] => [2,3,4,1] => [1,2,3,4] => 0
[2,3,4,5,1] => [2,3,4,1] => [1,2,3,4] => 0
[2,3,5,1,4] => [2,3,1,4] => [1,2,3,4] => 0
[2,3,5,4,1] => [2,3,4,1] => [1,2,3,4] => 0
[2,4,1,3,5] => [2,4,1,3] => [1,2,4,3] => 1
[2,4,1,5,3] => [2,4,1,3] => [1,2,4,3] => 1
[2,4,3,1,5] => [2,4,3,1] => [1,2,4,3] => 1
[2,4,3,5,1] => [2,4,3,1] => [1,2,4,3] => 1
[2,4,5,1,3] => [2,4,1,3] => [1,2,4,3] => 1
[2,4,5,3,1] => [2,4,3,1] => [1,2,4,3] => 1
[2,5,1,3,4] => [2,1,3,4] => [1,2,3,4] => 0
[2,5,1,4,3] => [2,1,4,3] => [1,2,3,4] => 0
[2,5,3,1,4] => [2,3,1,4] => [1,2,3,4] => 0
[2,5,3,4,1] => [2,3,4,1] => [1,2,3,4] => 0
[2,5,4,1,3] => [2,4,1,3] => [1,2,4,3] => 1
[2,5,4,3,1] => [2,4,3,1] => [1,2,4,3] => 1
[3,1,2,4,5] => [3,1,2,4] => [1,3,2,4] => 1
[3,1,2,5,4] => [3,1,2,4] => [1,3,2,4] => 1
[3,1,4,2,5] => [3,1,4,2] => [1,3,4,2] => 1
[3,1,4,5,2] => [3,1,4,2] => [1,3,4,2] => 1
[3,1,5,2,4] => [3,1,2,4] => [1,3,2,4] => 1
[3,1,5,4,2] => [3,1,4,2] => [1,3,4,2] => 1
[3,2,1,4,5] => [3,2,1,4] => [1,3,2,4] => 1
[3,2,1,5,4] => [3,2,1,4] => [1,3,2,4] => 1
[3,2,4,1,5] => [3,2,4,1] => [1,3,4,2] => 1
[3,2,4,5,1] => [3,2,4,1] => [1,3,4,2] => 1
[3,2,5,1,4] => [3,2,1,4] => [1,3,2,4] => 1
[3,2,5,4,1] => [3,2,4,1] => [1,3,4,2] => 1
[3,4,1,2,5] => [3,4,1,2] => [1,3,2,4] => 1
[3,4,1,5,2] => [3,4,1,2] => [1,3,2,4] => 1
[3,4,2,1,5] => [3,4,2,1] => [1,3,2,4] => 1
[3,4,2,5,1] => [3,4,2,1] => [1,3,2,4] => 1
[3,4,5,1,2] => [3,4,1,2] => [1,3,2,4] => 1
[3,4,5,2,1] => [3,4,2,1] => [1,3,2,4] => 1
[3,5,1,2,4] => [3,1,2,4] => [1,3,2,4] => 1
[3,5,1,4,2] => [3,1,4,2] => [1,3,4,2] => 1
>>> Load all 6674 entries. <<<[3,5,2,1,4] => [3,2,1,4] => [1,3,2,4] => 1
[3,5,2,4,1] => [3,2,4,1] => [1,3,4,2] => 1
[3,5,4,1,2] => [3,4,1,2] => [1,3,2,4] => 1
[3,5,4,2,1] => [3,4,2,1] => [1,3,2,4] => 1
[4,1,2,3,5] => [4,1,2,3] => [1,4,3,2] => 1
[4,1,2,5,3] => [4,1,2,3] => [1,4,3,2] => 1
[4,1,3,2,5] => [4,1,3,2] => [1,4,2,3] => 1
[4,1,3,5,2] => [4,1,3,2] => [1,4,2,3] => 1
[4,1,5,2,3] => [4,1,2,3] => [1,4,3,2] => 1
[4,1,5,3,2] => [4,1,3,2] => [1,4,2,3] => 1
[4,2,1,3,5] => [4,2,1,3] => [1,4,3,2] => 1
[4,2,1,5,3] => [4,2,1,3] => [1,4,3,2] => 1
[4,2,3,1,5] => [4,2,3,1] => [1,4,2,3] => 1
[4,2,3,5,1] => [4,2,3,1] => [1,4,2,3] => 1
[4,2,5,1,3] => [4,2,1,3] => [1,4,3,2] => 1
[4,2,5,3,1] => [4,2,3,1] => [1,4,2,3] => 1
[4,3,1,2,5] => [4,3,1,2] => [1,4,2,3] => 1
[4,3,1,5,2] => [4,3,1,2] => [1,4,2,3] => 1
[4,3,2,1,5] => [4,3,2,1] => [1,4,2,3] => 1
[4,3,2,5,1] => [4,3,2,1] => [1,4,2,3] => 1
[4,3,5,1,2] => [4,3,1,2] => [1,4,2,3] => 1
[4,3,5,2,1] => [4,3,2,1] => [1,4,2,3] => 1
[4,5,1,2,3] => [4,1,2,3] => [1,4,3,2] => 1
[4,5,1,3,2] => [4,1,3,2] => [1,4,2,3] => 1
[4,5,2,1,3] => [4,2,1,3] => [1,4,3,2] => 1
[4,5,2,3,1] => [4,2,3,1] => [1,4,2,3] => 1
[4,5,3,1,2] => [4,3,1,2] => [1,4,2,3] => 1
[4,5,3,2,1] => [4,3,2,1] => [1,4,2,3] => 1
[5,1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[5,1,2,4,3] => [1,2,4,3] => [1,2,3,4] => 0
[5,1,3,2,4] => [1,3,2,4] => [1,2,3,4] => 0
[5,1,3,4,2] => [1,3,4,2] => [1,2,3,4] => 0
[5,1,4,2,3] => [1,4,2,3] => [1,2,4,3] => 1
[5,1,4,3,2] => [1,4,3,2] => [1,2,4,3] => 1
[5,2,1,3,4] => [2,1,3,4] => [1,2,3,4] => 0
[5,2,1,4,3] => [2,1,4,3] => [1,2,3,4] => 0
[5,2,3,1,4] => [2,3,1,4] => [1,2,3,4] => 0
[5,2,3,4,1] => [2,3,4,1] => [1,2,3,4] => 0
[5,2,4,1,3] => [2,4,1,3] => [1,2,4,3] => 1
[5,2,4,3,1] => [2,4,3,1] => [1,2,4,3] => 1
[5,3,1,2,4] => [3,1,2,4] => [1,3,2,4] => 1
[5,3,1,4,2] => [3,1,4,2] => [1,3,4,2] => 1
[5,3,2,1,4] => [3,2,1,4] => [1,3,2,4] => 1
[5,3,2,4,1] => [3,2,4,1] => [1,3,4,2] => 1
[5,3,4,1,2] => [3,4,1,2] => [1,3,2,4] => 1
[5,3,4,2,1] => [3,4,2,1] => [1,3,2,4] => 1
[5,4,1,2,3] => [4,1,2,3] => [1,4,3,2] => 1
[5,4,1,3,2] => [4,1,3,2] => [1,4,2,3] => 1
[5,4,2,1,3] => [4,2,1,3] => [1,4,3,2] => 1
[5,4,2,3,1] => [4,2,3,1] => [1,4,2,3] => 1
[5,4,3,1,2] => [4,3,1,2] => [1,4,2,3] => 1
[5,4,3,2,1] => [4,3,2,1] => [1,4,2,3] => 1
[1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,4,5] => 0
[1,2,3,5,6,4] => [1,2,3,5,4] => [1,2,3,4,5] => 0
[1,2,3,6,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,4,5] => 0
[1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,3,4,5] => 0
[1,2,4,3,6,5] => [1,2,4,3,5] => [1,2,3,4,5] => 0
[1,2,4,5,3,6] => [1,2,4,5,3] => [1,2,3,4,5] => 0
[1,2,4,5,6,3] => [1,2,4,5,3] => [1,2,3,4,5] => 0
[1,2,4,6,3,5] => [1,2,4,3,5] => [1,2,3,4,5] => 0
[1,2,4,6,5,3] => [1,2,4,5,3] => [1,2,3,4,5] => 0
[1,2,5,3,4,6] => [1,2,5,3,4] => [1,2,3,5,4] => 1
[1,2,5,3,6,4] => [1,2,5,3,4] => [1,2,3,5,4] => 1
[1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,3,5,4] => 1
[1,2,5,4,6,3] => [1,2,5,4,3] => [1,2,3,5,4] => 1
[1,2,5,6,3,4] => [1,2,5,3,4] => [1,2,3,5,4] => 1
[1,2,5,6,4,3] => [1,2,5,4,3] => [1,2,3,5,4] => 1
[1,2,6,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,2,6,3,5,4] => [1,2,3,5,4] => [1,2,3,4,5] => 0
[1,2,6,4,3,5] => [1,2,4,3,5] => [1,2,3,4,5] => 0
[1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,3,4,5] => 0
[1,2,6,5,3,4] => [1,2,5,3,4] => [1,2,3,5,4] => 1
[1,2,6,5,4,3] => [1,2,5,4,3] => [1,2,3,5,4] => 1
[1,3,2,4,5,6] => [1,3,2,4,5] => [1,2,3,4,5] => 0
[1,3,2,4,6,5] => [1,3,2,4,5] => [1,2,3,4,5] => 0
[1,3,2,5,4,6] => [1,3,2,5,4] => [1,2,3,4,5] => 0
[1,3,2,5,6,4] => [1,3,2,5,4] => [1,2,3,4,5] => 0
[1,3,2,6,4,5] => [1,3,2,4,5] => [1,2,3,4,5] => 0
[1,3,2,6,5,4] => [1,3,2,5,4] => [1,2,3,4,5] => 0
[1,3,4,2,5,6] => [1,3,4,2,5] => [1,2,3,4,5] => 0
[1,3,4,2,6,5] => [1,3,4,2,5] => [1,2,3,4,5] => 0
[1,3,4,5,2,6] => [1,3,4,5,2] => [1,2,3,4,5] => 0
[1,3,4,5,6,2] => [1,3,4,5,2] => [1,2,3,4,5] => 0
[1,3,4,6,2,5] => [1,3,4,2,5] => [1,2,3,4,5] => 0
[1,3,4,6,5,2] => [1,3,4,5,2] => [1,2,3,4,5] => 0
[1,3,5,2,4,6] => [1,3,5,2,4] => [1,2,3,5,4] => 1
[1,3,5,2,6,4] => [1,3,5,2,4] => [1,2,3,5,4] => 1
[1,3,5,4,2,6] => [1,3,5,4,2] => [1,2,3,5,4] => 1
[1,3,5,4,6,2] => [1,3,5,4,2] => [1,2,3,5,4] => 1
[1,3,5,6,2,4] => [1,3,5,2,4] => [1,2,3,5,4] => 1
[1,3,5,6,4,2] => [1,3,5,4,2] => [1,2,3,5,4] => 1
[1,3,6,2,4,5] => [1,3,2,4,5] => [1,2,3,4,5] => 0
[1,3,6,2,5,4] => [1,3,2,5,4] => [1,2,3,4,5] => 0
[1,3,6,4,2,5] => [1,3,4,2,5] => [1,2,3,4,5] => 0
[1,3,6,4,5,2] => [1,3,4,5,2] => [1,2,3,4,5] => 0
[1,3,6,5,2,4] => [1,3,5,2,4] => [1,2,3,5,4] => 1
[1,3,6,5,4,2] => [1,3,5,4,2] => [1,2,3,5,4] => 1
[1,4,2,3,5,6] => [1,4,2,3,5] => [1,2,4,3,5] => 1
[1,4,2,3,6,5] => [1,4,2,3,5] => [1,2,4,3,5] => 1
[1,4,2,5,3,6] => [1,4,2,5,3] => [1,2,4,5,3] => 1
[1,4,2,5,6,3] => [1,4,2,5,3] => [1,2,4,5,3] => 1
[1,4,2,6,3,5] => [1,4,2,3,5] => [1,2,4,3,5] => 1
[1,4,2,6,5,3] => [1,4,2,5,3] => [1,2,4,5,3] => 1
[1,4,3,2,5,6] => [1,4,3,2,5] => [1,2,4,3,5] => 1
[1,4,3,2,6,5] => [1,4,3,2,5] => [1,2,4,3,5] => 1
[1,4,3,5,2,6] => [1,4,3,5,2] => [1,2,4,5,3] => 1
[1,4,3,5,6,2] => [1,4,3,5,2] => [1,2,4,5,3] => 1
[1,4,3,6,2,5] => [1,4,3,2,5] => [1,2,4,3,5] => 1
[1,4,3,6,5,2] => [1,4,3,5,2] => [1,2,4,5,3] => 1
[1,4,5,2,3,6] => [1,4,5,2,3] => [1,2,4,3,5] => 1
[1,4,5,2,6,3] => [1,4,5,2,3] => [1,2,4,3,5] => 1
[1,4,5,3,2,6] => [1,4,5,3,2] => [1,2,4,3,5] => 1
[1,4,5,3,6,2] => [1,4,5,3,2] => [1,2,4,3,5] => 1
[1,4,5,6,2,3] => [1,4,5,2,3] => [1,2,4,3,5] => 1
[1,4,5,6,3,2] => [1,4,5,3,2] => [1,2,4,3,5] => 1
[1,4,6,2,3,5] => [1,4,2,3,5] => [1,2,4,3,5] => 1
[1,4,6,2,5,3] => [1,4,2,5,3] => [1,2,4,5,3] => 1
[1,4,6,3,2,5] => [1,4,3,2,5] => [1,2,4,3,5] => 1
[1,4,6,3,5,2] => [1,4,3,5,2] => [1,2,4,5,3] => 1
[1,4,6,5,2,3] => [1,4,5,2,3] => [1,2,4,3,5] => 1
[1,4,6,5,3,2] => [1,4,5,3,2] => [1,2,4,3,5] => 1
[1,5,2,3,4,6] => [1,5,2,3,4] => [1,2,5,4,3] => 1
[1,5,2,3,6,4] => [1,5,2,3,4] => [1,2,5,4,3] => 1
[1,5,2,4,3,6] => [1,5,2,4,3] => [1,2,5,3,4] => 1
[1,5,2,4,6,3] => [1,5,2,4,3] => [1,2,5,3,4] => 1
[1,5,2,6,3,4] => [1,5,2,3,4] => [1,2,5,4,3] => 1
[1,5,2,6,4,3] => [1,5,2,4,3] => [1,2,5,3,4] => 1
[1,5,3,2,4,6] => [1,5,3,2,4] => [1,2,5,4,3] => 1
[1,5,3,2,6,4] => [1,5,3,2,4] => [1,2,5,4,3] => 1
[1,5,3,4,2,6] => [1,5,3,4,2] => [1,2,5,3,4] => 1
[1,5,3,4,6,2] => [1,5,3,4,2] => [1,2,5,3,4] => 1
[1,5,3,6,2,4] => [1,5,3,2,4] => [1,2,5,4,3] => 1
[1,5,3,6,4,2] => [1,5,3,4,2] => [1,2,5,3,4] => 1
[1,5,4,2,3,6] => [1,5,4,2,3] => [1,2,5,3,4] => 1
[1,5,4,2,6,3] => [1,5,4,2,3] => [1,2,5,3,4] => 1
[1,5,4,3,2,6] => [1,5,4,3,2] => [1,2,5,3,4] => 1
[1,5,4,3,6,2] => [1,5,4,3,2] => [1,2,5,3,4] => 1
[1,5,4,6,2,3] => [1,5,4,2,3] => [1,2,5,3,4] => 1
[1,5,4,6,3,2] => [1,5,4,3,2] => [1,2,5,3,4] => 1
[1,5,6,2,3,4] => [1,5,2,3,4] => [1,2,5,4,3] => 1
[1,5,6,2,4,3] => [1,5,2,4,3] => [1,2,5,3,4] => 1
[1,5,6,3,2,4] => [1,5,3,2,4] => [1,2,5,4,3] => 1
[1,5,6,3,4,2] => [1,5,3,4,2] => [1,2,5,3,4] => 1
[1,5,6,4,2,3] => [1,5,4,2,3] => [1,2,5,3,4] => 1
[1,5,6,4,3,2] => [1,5,4,3,2] => [1,2,5,3,4] => 1
[1,6,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,6,2,3,5,4] => [1,2,3,5,4] => [1,2,3,4,5] => 0
[1,6,2,4,3,5] => [1,2,4,3,5] => [1,2,3,4,5] => 0
[1,6,2,4,5,3] => [1,2,4,5,3] => [1,2,3,4,5] => 0
[1,6,2,5,3,4] => [1,2,5,3,4] => [1,2,3,5,4] => 1
[1,6,2,5,4,3] => [1,2,5,4,3] => [1,2,3,5,4] => 1
[1,6,3,2,4,5] => [1,3,2,4,5] => [1,2,3,4,5] => 0
[1,6,3,2,5,4] => [1,3,2,5,4] => [1,2,3,4,5] => 0
[1,6,3,4,2,5] => [1,3,4,2,5] => [1,2,3,4,5] => 0
[1,6,3,4,5,2] => [1,3,4,5,2] => [1,2,3,4,5] => 0
[1,6,3,5,2,4] => [1,3,5,2,4] => [1,2,3,5,4] => 1
[1,6,3,5,4,2] => [1,3,5,4,2] => [1,2,3,5,4] => 1
[1,6,4,2,3,5] => [1,4,2,3,5] => [1,2,4,3,5] => 1
[1,6,4,2,5,3] => [1,4,2,5,3] => [1,2,4,5,3] => 1
[1,6,4,3,2,5] => [1,4,3,2,5] => [1,2,4,3,5] => 1
[1,6,4,3,5,2] => [1,4,3,5,2] => [1,2,4,5,3] => 1
[1,6,4,5,2,3] => [1,4,5,2,3] => [1,2,4,3,5] => 1
[1,6,4,5,3,2] => [1,4,5,3,2] => [1,2,4,3,5] => 1
[1,6,5,2,3,4] => [1,5,2,3,4] => [1,2,5,4,3] => 1
[1,6,5,2,4,3] => [1,5,2,4,3] => [1,2,5,3,4] => 1
[1,6,5,3,2,4] => [1,5,3,2,4] => [1,2,5,4,3] => 1
[1,6,5,3,4,2] => [1,5,3,4,2] => [1,2,5,3,4] => 1
[1,6,5,4,2,3] => [1,5,4,2,3] => [1,2,5,3,4] => 1
[1,6,5,4,3,2] => [1,5,4,3,2] => [1,2,5,3,4] => 1
[2,1,3,4,5,6] => [2,1,3,4,5] => [1,2,3,4,5] => 0
[2,1,3,4,6,5] => [2,1,3,4,5] => [1,2,3,4,5] => 0
[2,1,3,5,4,6] => [2,1,3,5,4] => [1,2,3,4,5] => 0
[2,1,3,5,6,4] => [2,1,3,5,4] => [1,2,3,4,5] => 0
[2,1,3,6,4,5] => [2,1,3,4,5] => [1,2,3,4,5] => 0
[2,1,3,6,5,4] => [2,1,3,5,4] => [1,2,3,4,5] => 0
[2,1,4,3,5,6] => [2,1,4,3,5] => [1,2,3,4,5] => 0
[2,1,4,3,6,5] => [2,1,4,3,5] => [1,2,3,4,5] => 0
[2,1,4,5,3,6] => [2,1,4,5,3] => [1,2,3,4,5] => 0
[2,1,4,5,6,3] => [2,1,4,5,3] => [1,2,3,4,5] => 0
[2,1,4,6,3,5] => [2,1,4,3,5] => [1,2,3,4,5] => 0
[2,1,4,6,5,3] => [2,1,4,5,3] => [1,2,3,4,5] => 0
[2,1,5,3,4,6] => [2,1,5,3,4] => [1,2,3,5,4] => 1
[2,1,5,3,6,4] => [2,1,5,3,4] => [1,2,3,5,4] => 1
[2,1,5,4,3,6] => [2,1,5,4,3] => [1,2,3,5,4] => 1
[2,1,5,4,6,3] => [2,1,5,4,3] => [1,2,3,5,4] => 1
[2,1,5,6,3,4] => [2,1,5,3,4] => [1,2,3,5,4] => 1
[2,1,5,6,4,3] => [2,1,5,4,3] => [1,2,3,5,4] => 1
[2,1,6,3,4,5] => [2,1,3,4,5] => [1,2,3,4,5] => 0
[2,1,6,3,5,4] => [2,1,3,5,4] => [1,2,3,4,5] => 0
[2,1,6,4,3,5] => [2,1,4,3,5] => [1,2,3,4,5] => 0
[2,1,6,4,5,3] => [2,1,4,5,3] => [1,2,3,4,5] => 0
[2,1,6,5,3,4] => [2,1,5,3,4] => [1,2,3,5,4] => 1
[2,1,6,5,4,3] => [2,1,5,4,3] => [1,2,3,5,4] => 1
[2,3,1,4,5,6] => [2,3,1,4,5] => [1,2,3,4,5] => 0
[2,3,1,4,6,5] => [2,3,1,4,5] => [1,2,3,4,5] => 0
[2,3,1,5,4,6] => [2,3,1,5,4] => [1,2,3,4,5] => 0
[2,3,1,5,6,4] => [2,3,1,5,4] => [1,2,3,4,5] => 0
[2,3,1,6,4,5] => [2,3,1,4,5] => [1,2,3,4,5] => 0
[2,3,1,6,5,4] => [2,3,1,5,4] => [1,2,3,4,5] => 0
[2,3,4,1,5,6] => [2,3,4,1,5] => [1,2,3,4,5] => 0
[2,3,4,1,6,5] => [2,3,4,1,5] => [1,2,3,4,5] => 0
[2,3,4,5,1,6] => [2,3,4,5,1] => [1,2,3,4,5] => 0
[2,3,4,5,6,1] => [2,3,4,5,1] => [1,2,3,4,5] => 0
[2,3,4,6,1,5] => [2,3,4,1,5] => [1,2,3,4,5] => 0
[2,3,4,6,5,1] => [2,3,4,5,1] => [1,2,3,4,5] => 0
[2,3,5,1,4,6] => [2,3,5,1,4] => [1,2,3,5,4] => 1
[2,3,5,1,6,4] => [2,3,5,1,4] => [1,2,3,5,4] => 1
[2,3,5,4,1,6] => [2,3,5,4,1] => [1,2,3,5,4] => 1
[2,3,5,4,6,1] => [2,3,5,4,1] => [1,2,3,5,4] => 1
[2,3,5,6,1,4] => [2,3,5,1,4] => [1,2,3,5,4] => 1
[2,3,5,6,4,1] => [2,3,5,4,1] => [1,2,3,5,4] => 1
[2,3,6,1,4,5] => [2,3,1,4,5] => [1,2,3,4,5] => 0
[2,3,6,1,5,4] => [2,3,1,5,4] => [1,2,3,4,5] => 0
[2,3,6,4,1,5] => [2,3,4,1,5] => [1,2,3,4,5] => 0
[2,3,6,4,5,1] => [2,3,4,5,1] => [1,2,3,4,5] => 0
[2,3,6,5,1,4] => [2,3,5,1,4] => [1,2,3,5,4] => 1
[2,3,6,5,4,1] => [2,3,5,4,1] => [1,2,3,5,4] => 1
[2,4,1,3,5,6] => [2,4,1,3,5] => [1,2,4,3,5] => 1
[2,4,1,3,6,5] => [2,4,1,3,5] => [1,2,4,3,5] => 1
[2,4,1,5,3,6] => [2,4,1,5,3] => [1,2,4,5,3] => 1
[2,4,1,5,6,3] => [2,4,1,5,3] => [1,2,4,5,3] => 1
[2,4,1,6,3,5] => [2,4,1,3,5] => [1,2,4,3,5] => 1
[2,4,1,6,5,3] => [2,4,1,5,3] => [1,2,4,5,3] => 1
[2,4,3,1,5,6] => [2,4,3,1,5] => [1,2,4,3,5] => 1
[2,4,3,1,6,5] => [2,4,3,1,5] => [1,2,4,3,5] => 1
[2,4,3,5,1,6] => [2,4,3,5,1] => [1,2,4,5,3] => 1
[2,4,3,5,6,1] => [2,4,3,5,1] => [1,2,4,5,3] => 1
[2,4,3,6,1,5] => [2,4,3,1,5] => [1,2,4,3,5] => 1
[2,4,3,6,5,1] => [2,4,3,5,1] => [1,2,4,5,3] => 1
[2,4,5,1,3,6] => [2,4,5,1,3] => [1,2,4,3,5] => 1
[2,4,5,1,6,3] => [2,4,5,1,3] => [1,2,4,3,5] => 1
[2,4,5,3,1,6] => [2,4,5,3,1] => [1,2,4,3,5] => 1
[2,4,5,3,6,1] => [2,4,5,3,1] => [1,2,4,3,5] => 1
[2,4,5,6,1,3] => [2,4,5,1,3] => [1,2,4,3,5] => 1
[2,4,5,6,3,1] => [2,4,5,3,1] => [1,2,4,3,5] => 1
[2,4,6,1,3,5] => [2,4,1,3,5] => [1,2,4,3,5] => 1
[2,4,6,1,5,3] => [2,4,1,5,3] => [1,2,4,5,3] => 1
[2,4,6,3,1,5] => [2,4,3,1,5] => [1,2,4,3,5] => 1
[2,4,6,3,5,1] => [2,4,3,5,1] => [1,2,4,5,3] => 1
[2,4,6,5,1,3] => [2,4,5,1,3] => [1,2,4,3,5] => 1
[2,4,6,5,3,1] => [2,4,5,3,1] => [1,2,4,3,5] => 1
[2,5,1,3,4,6] => [2,5,1,3,4] => [1,2,5,4,3] => 1
[2,5,1,3,6,4] => [2,5,1,3,4] => [1,2,5,4,3] => 1
[2,5,1,4,3,6] => [2,5,1,4,3] => [1,2,5,3,4] => 1
[2,5,1,4,6,3] => [2,5,1,4,3] => [1,2,5,3,4] => 1
[2,5,1,6,3,4] => [2,5,1,3,4] => [1,2,5,4,3] => 1
[2,5,1,6,4,3] => [2,5,1,4,3] => [1,2,5,3,4] => 1
[2,5,3,1,4,6] => [2,5,3,1,4] => [1,2,5,4,3] => 1
[2,5,3,1,6,4] => [2,5,3,1,4] => [1,2,5,4,3] => 1
[2,5,3,4,1,6] => [2,5,3,4,1] => [1,2,5,3,4] => 1
[2,5,3,4,6,1] => [2,5,3,4,1] => [1,2,5,3,4] => 1
[2,5,3,6,1,4] => [2,5,3,1,4] => [1,2,5,4,3] => 1
[2,5,3,6,4,1] => [2,5,3,4,1] => [1,2,5,3,4] => 1
[2,5,4,1,3,6] => [2,5,4,1,3] => [1,2,5,3,4] => 1
[2,5,4,1,6,3] => [2,5,4,1,3] => [1,2,5,3,4] => 1
[2,5,4,3,1,6] => [2,5,4,3,1] => [1,2,5,3,4] => 1
[2,5,4,3,6,1] => [2,5,4,3,1] => [1,2,5,3,4] => 1
[2,5,4,6,1,3] => [2,5,4,1,3] => [1,2,5,3,4] => 1
[2,5,4,6,3,1] => [2,5,4,3,1] => [1,2,5,3,4] => 1
[2,5,6,1,3,4] => [2,5,1,3,4] => [1,2,5,4,3] => 1
[2,5,6,1,4,3] => [2,5,1,4,3] => [1,2,5,3,4] => 1
[2,5,6,3,1,4] => [2,5,3,1,4] => [1,2,5,4,3] => 1
[2,5,6,3,4,1] => [2,5,3,4,1] => [1,2,5,3,4] => 1
[2,5,6,4,1,3] => [2,5,4,1,3] => [1,2,5,3,4] => 1
[2,5,6,4,3,1] => [2,5,4,3,1] => [1,2,5,3,4] => 1
[2,6,1,3,4,5] => [2,1,3,4,5] => [1,2,3,4,5] => 0
[2,6,1,3,5,4] => [2,1,3,5,4] => [1,2,3,4,5] => 0
[2,6,1,4,3,5] => [2,1,4,3,5] => [1,2,3,4,5] => 0
[2,6,1,4,5,3] => [2,1,4,5,3] => [1,2,3,4,5] => 0
[2,6,1,5,3,4] => [2,1,5,3,4] => [1,2,3,5,4] => 1
[2,6,1,5,4,3] => [2,1,5,4,3] => [1,2,3,5,4] => 1
[2,6,3,1,4,5] => [2,3,1,4,5] => [1,2,3,4,5] => 0
[2,6,3,1,5,4] => [2,3,1,5,4] => [1,2,3,4,5] => 0
[2,6,3,4,1,5] => [2,3,4,1,5] => [1,2,3,4,5] => 0
[2,6,3,4,5,1] => [2,3,4,5,1] => [1,2,3,4,5] => 0
[2,6,3,5,1,4] => [2,3,5,1,4] => [1,2,3,5,4] => 1
[2,6,3,5,4,1] => [2,3,5,4,1] => [1,2,3,5,4] => 1
[2,6,4,1,3,5] => [2,4,1,3,5] => [1,2,4,3,5] => 1
[2,6,4,1,5,3] => [2,4,1,5,3] => [1,2,4,5,3] => 1
[2,6,4,3,1,5] => [2,4,3,1,5] => [1,2,4,3,5] => 1
[2,6,4,3,5,1] => [2,4,3,5,1] => [1,2,4,5,3] => 1
[2,6,4,5,1,3] => [2,4,5,1,3] => [1,2,4,3,5] => 1
[2,6,4,5,3,1] => [2,4,5,3,1] => [1,2,4,3,5] => 1
[2,6,5,1,3,4] => [2,5,1,3,4] => [1,2,5,4,3] => 1
[2,6,5,1,4,3] => [2,5,1,4,3] => [1,2,5,3,4] => 1
[2,6,5,3,1,4] => [2,5,3,1,4] => [1,2,5,4,3] => 1
[2,6,5,3,4,1] => [2,5,3,4,1] => [1,2,5,3,4] => 1
[2,6,5,4,1,3] => [2,5,4,1,3] => [1,2,5,3,4] => 1
[2,6,5,4,3,1] => [2,5,4,3,1] => [1,2,5,3,4] => 1
[3,1,2,4,5,6] => [3,1,2,4,5] => [1,3,2,4,5] => 1
[3,1,2,4,6,5] => [3,1,2,4,5] => [1,3,2,4,5] => 1
[3,1,2,5,4,6] => [3,1,2,5,4] => [1,3,2,4,5] => 1
[3,1,2,5,6,4] => [3,1,2,5,4] => [1,3,2,4,5] => 1
[3,1,2,6,4,5] => [3,1,2,4,5] => [1,3,2,4,5] => 1
[3,1,2,6,5,4] => [3,1,2,5,4] => [1,3,2,4,5] => 1
[3,1,4,2,5,6] => [3,1,4,2,5] => [1,3,4,2,5] => 1
[3,1,4,2,6,5] => [3,1,4,2,5] => [1,3,4,2,5] => 1
[3,1,4,5,2,6] => [3,1,4,5,2] => [1,3,4,5,2] => 1
[3,1,4,5,6,2] => [3,1,4,5,2] => [1,3,4,5,2] => 1
[3,1,4,6,2,5] => [3,1,4,2,5] => [1,3,4,2,5] => 1
[3,1,4,6,5,2] => [3,1,4,5,2] => [1,3,4,5,2] => 1
[3,1,5,2,4,6] => [3,1,5,2,4] => [1,3,5,4,2] => 1
[3,1,5,2,6,4] => [3,1,5,2,4] => [1,3,5,4,2] => 1
[3,1,5,4,2,6] => [3,1,5,4,2] => [1,3,5,2,4] => 1
[3,1,5,4,6,2] => [3,1,5,4,2] => [1,3,5,2,4] => 1
[3,1,5,6,2,4] => [3,1,5,2,4] => [1,3,5,4,2] => 1
[3,1,5,6,4,2] => [3,1,5,4,2] => [1,3,5,2,4] => 1
[3,1,6,2,4,5] => [3,1,2,4,5] => [1,3,2,4,5] => 1
[3,1,6,2,5,4] => [3,1,2,5,4] => [1,3,2,4,5] => 1
[3,1,6,4,2,5] => [3,1,4,2,5] => [1,3,4,2,5] => 1
[3,1,6,4,5,2] => [3,1,4,5,2] => [1,3,4,5,2] => 1
[3,1,6,5,2,4] => [3,1,5,2,4] => [1,3,5,4,2] => 1
[3,1,6,5,4,2] => [3,1,5,4,2] => [1,3,5,2,4] => 1
[3,2,1,4,5,6] => [3,2,1,4,5] => [1,3,2,4,5] => 1
[3,2,1,4,6,5] => [3,2,1,4,5] => [1,3,2,4,5] => 1
[3,2,1,5,4,6] => [3,2,1,5,4] => [1,3,2,4,5] => 1
[3,2,1,5,6,4] => [3,2,1,5,4] => [1,3,2,4,5] => 1
[3,2,1,6,4,5] => [3,2,1,4,5] => [1,3,2,4,5] => 1
[3,2,1,6,5,4] => [3,2,1,5,4] => [1,3,2,4,5] => 1
[3,2,4,1,5,6] => [3,2,4,1,5] => [1,3,4,2,5] => 1
[3,2,4,1,6,5] => [3,2,4,1,5] => [1,3,4,2,5] => 1
[3,2,4,5,1,6] => [3,2,4,5,1] => [1,3,4,5,2] => 1
[3,2,4,5,6,1] => [3,2,4,5,1] => [1,3,4,5,2] => 1
[3,2,4,6,1,5] => [3,2,4,1,5] => [1,3,4,2,5] => 1
[3,2,4,6,5,1] => [3,2,4,5,1] => [1,3,4,5,2] => 1
[3,2,5,1,4,6] => [3,2,5,1,4] => [1,3,5,4,2] => 1
[3,2,5,1,6,4] => [3,2,5,1,4] => [1,3,5,4,2] => 1
[3,2,5,4,1,6] => [3,2,5,4,1] => [1,3,5,2,4] => 1
[3,2,5,4,6,1] => [3,2,5,4,1] => [1,3,5,2,4] => 1
[3,2,5,6,1,4] => [3,2,5,1,4] => [1,3,5,4,2] => 1
[3,2,5,6,4,1] => [3,2,5,4,1] => [1,3,5,2,4] => 1
[3,2,6,1,4,5] => [3,2,1,4,5] => [1,3,2,4,5] => 1
[3,2,6,1,5,4] => [3,2,1,5,4] => [1,3,2,4,5] => 1
[3,2,6,4,1,5] => [3,2,4,1,5] => [1,3,4,2,5] => 1
[3,2,6,4,5,1] => [3,2,4,5,1] => [1,3,4,5,2] => 1
[3,2,6,5,1,4] => [3,2,5,1,4] => [1,3,5,4,2] => 1
[3,2,6,5,4,1] => [3,2,5,4,1] => [1,3,5,2,4] => 1
[3,4,1,2,5,6] => [3,4,1,2,5] => [1,3,2,4,5] => 1
[3,4,1,2,6,5] => [3,4,1,2,5] => [1,3,2,4,5] => 1
[3,4,1,5,2,6] => [3,4,1,5,2] => [1,3,2,4,5] => 1
[3,4,1,5,6,2] => [3,4,1,5,2] => [1,3,2,4,5] => 1
[3,4,1,6,2,5] => [3,4,1,2,5] => [1,3,2,4,5] => 1
[3,4,1,6,5,2] => [3,4,1,5,2] => [1,3,2,4,5] => 1
[3,4,2,1,5,6] => [3,4,2,1,5] => [1,3,2,4,5] => 1
[3,4,2,1,6,5] => [3,4,2,1,5] => [1,3,2,4,5] => 1
[3,4,2,5,1,6] => [3,4,2,5,1] => [1,3,2,4,5] => 1
[3,4,2,5,6,1] => [3,4,2,5,1] => [1,3,2,4,5] => 1
[3,4,2,6,1,5] => [3,4,2,1,5] => [1,3,2,4,5] => 1
[3,4,2,6,5,1] => [3,4,2,5,1] => [1,3,2,4,5] => 1
[3,4,5,1,2,6] => [3,4,5,1,2] => [1,3,5,2,4] => 1
[3,4,5,1,6,2] => [3,4,5,1,2] => [1,3,5,2,4] => 1
[3,4,5,2,1,6] => [3,4,5,2,1] => [1,3,5,2,4] => 1
[3,4,5,2,6,1] => [3,4,5,2,1] => [1,3,5,2,4] => 1
[3,4,5,6,1,2] => [3,4,5,1,2] => [1,3,5,2,4] => 1
[3,4,5,6,2,1] => [3,4,5,2,1] => [1,3,5,2,4] => 1
[3,4,6,1,2,5] => [3,4,1,2,5] => [1,3,2,4,5] => 1
[3,4,6,1,5,2] => [3,4,1,5,2] => [1,3,2,4,5] => 1
[3,4,6,2,1,5] => [3,4,2,1,5] => [1,3,2,4,5] => 1
[3,4,6,2,5,1] => [3,4,2,5,1] => [1,3,2,4,5] => 1
[3,4,6,5,1,2] => [3,4,5,1,2] => [1,3,5,2,4] => 1
[3,4,6,5,2,1] => [3,4,5,2,1] => [1,3,5,2,4] => 1
[3,5,1,2,4,6] => [3,5,1,2,4] => [1,3,2,5,4] => 2
[3,5,1,2,6,4] => [3,5,1,2,4] => [1,3,2,5,4] => 2
[3,5,1,4,2,6] => [3,5,1,4,2] => [1,3,2,5,4] => 2
[3,5,1,4,6,2] => [3,5,1,4,2] => [1,3,2,5,4] => 2
[3,5,1,6,2,4] => [3,5,1,2,4] => [1,3,2,5,4] => 2
[3,5,1,6,4,2] => [3,5,1,4,2] => [1,3,2,5,4] => 2
[3,5,2,1,4,6] => [3,5,2,1,4] => [1,3,2,5,4] => 2
[3,5,2,1,6,4] => [3,5,2,1,4] => [1,3,2,5,4] => 2
[3,5,2,4,1,6] => [3,5,2,4,1] => [1,3,2,5,4] => 2
[3,5,2,4,6,1] => [3,5,2,4,1] => [1,3,2,5,4] => 2
[3,5,2,6,1,4] => [3,5,2,1,4] => [1,3,2,5,4] => 2
[3,5,2,6,4,1] => [3,5,2,4,1] => [1,3,2,5,4] => 2
[3,5,4,1,2,6] => [3,5,4,1,2] => [1,3,4,2,5] => 1
[3,5,4,1,6,2] => [3,5,4,1,2] => [1,3,4,2,5] => 1
[3,5,4,2,1,6] => [3,5,4,2,1] => [1,3,4,2,5] => 1
[3,5,4,2,6,1] => [3,5,4,2,1] => [1,3,4,2,5] => 1
[3,5,4,6,1,2] => [3,5,4,1,2] => [1,3,4,2,5] => 1
[3,5,4,6,2,1] => [3,5,4,2,1] => [1,3,4,2,5] => 1
[3,5,6,1,2,4] => [3,5,1,2,4] => [1,3,2,5,4] => 2
[3,5,6,1,4,2] => [3,5,1,4,2] => [1,3,2,5,4] => 2
[3,5,6,2,1,4] => [3,5,2,1,4] => [1,3,2,5,4] => 2
[3,5,6,2,4,1] => [3,5,2,4,1] => [1,3,2,5,4] => 2
[3,5,6,4,1,2] => [3,5,4,1,2] => [1,3,4,2,5] => 1
[3,5,6,4,2,1] => [3,5,4,2,1] => [1,3,4,2,5] => 1
[3,6,1,2,4,5] => [3,1,2,4,5] => [1,3,2,4,5] => 1
[3,6,1,2,5,4] => [3,1,2,5,4] => [1,3,2,4,5] => 1
[3,6,1,4,2,5] => [3,1,4,2,5] => [1,3,4,2,5] => 1
[3,6,1,4,5,2] => [3,1,4,5,2] => [1,3,4,5,2] => 1
[3,6,1,5,2,4] => [3,1,5,2,4] => [1,3,5,4,2] => 1
[3,6,1,5,4,2] => [3,1,5,4,2] => [1,3,5,2,4] => 1
[3,6,2,1,4,5] => [3,2,1,4,5] => [1,3,2,4,5] => 1
[3,6,2,1,5,4] => [3,2,1,5,4] => [1,3,2,4,5] => 1
[3,6,2,4,1,5] => [3,2,4,1,5] => [1,3,4,2,5] => 1
[3,6,2,4,5,1] => [3,2,4,5,1] => [1,3,4,5,2] => 1
[3,6,2,5,1,4] => [3,2,5,1,4] => [1,3,5,4,2] => 1
[3,6,2,5,4,1] => [3,2,5,4,1] => [1,3,5,2,4] => 1
[3,6,4,1,2,5] => [3,4,1,2,5] => [1,3,2,4,5] => 1
[3,6,4,1,5,2] => [3,4,1,5,2] => [1,3,2,4,5] => 1
[3,6,4,2,1,5] => [3,4,2,1,5] => [1,3,2,4,5] => 1
[3,6,4,2,5,1] => [3,4,2,5,1] => [1,3,2,4,5] => 1
[3,6,4,5,1,2] => [3,4,5,1,2] => [1,3,5,2,4] => 1
[3,6,4,5,2,1] => [3,4,5,2,1] => [1,3,5,2,4] => 1
[3,6,5,1,2,4] => [3,5,1,2,4] => [1,3,2,5,4] => 2
[3,6,5,1,4,2] => [3,5,1,4,2] => [1,3,2,5,4] => 2
[3,6,5,2,1,4] => [3,5,2,1,4] => [1,3,2,5,4] => 2
[3,6,5,2,4,1] => [3,5,2,4,1] => [1,3,2,5,4] => 2
[3,6,5,4,1,2] => [3,5,4,1,2] => [1,3,4,2,5] => 1
[3,6,5,4,2,1] => [3,5,4,2,1] => [1,3,4,2,5] => 1
[4,1,2,3,5,6] => [4,1,2,3,5] => [1,4,3,2,5] => 1
[4,1,2,3,6,5] => [4,1,2,3,5] => [1,4,3,2,5] => 1
[4,1,2,5,3,6] => [4,1,2,5,3] => [1,4,5,3,2] => 1
[4,1,2,5,6,3] => [4,1,2,5,3] => [1,4,5,3,2] => 1
[4,1,2,6,3,5] => [4,1,2,3,5] => [1,4,3,2,5] => 1
[4,1,2,6,5,3] => [4,1,2,5,3] => [1,4,5,3,2] => 1
[4,1,3,2,5,6] => [4,1,3,2,5] => [1,4,2,3,5] => 1
[4,1,3,2,6,5] => [4,1,3,2,5] => [1,4,2,3,5] => 1
[4,1,3,5,2,6] => [4,1,3,5,2] => [1,4,5,2,3] => 1
[4,1,3,5,6,2] => [4,1,3,5,2] => [1,4,5,2,3] => 1
[4,1,3,6,2,5] => [4,1,3,2,5] => [1,4,2,3,5] => 1
[4,1,3,6,5,2] => [4,1,3,5,2] => [1,4,5,2,3] => 1
[4,1,5,2,3,6] => [4,1,5,2,3] => [1,4,2,3,5] => 1
[4,1,5,2,6,3] => [4,1,5,2,3] => [1,4,2,3,5] => 1
[4,1,5,3,2,6] => [4,1,5,3,2] => [1,4,3,5,2] => 2
[4,1,5,3,6,2] => [4,1,5,3,2] => [1,4,3,5,2] => 2
[4,1,5,6,2,3] => [4,1,5,2,3] => [1,4,2,3,5] => 1
[4,1,5,6,3,2] => [4,1,5,3,2] => [1,4,3,5,2] => 2
[4,1,6,2,3,5] => [4,1,2,3,5] => [1,4,3,2,5] => 1
[4,1,6,2,5,3] => [4,1,2,5,3] => [1,4,5,3,2] => 1
[4,1,6,3,2,5] => [4,1,3,2,5] => [1,4,2,3,5] => 1
[4,1,6,3,5,2] => [4,1,3,5,2] => [1,4,5,2,3] => 1
[4,1,6,5,2,3] => [4,1,5,2,3] => [1,4,2,3,5] => 1
[4,1,6,5,3,2] => [4,1,5,3,2] => [1,4,3,5,2] => 2
[4,2,1,3,5,6] => [4,2,1,3,5] => [1,4,3,2,5] => 1
[4,2,1,3,6,5] => [4,2,1,3,5] => [1,4,3,2,5] => 1
[4,2,1,5,3,6] => [4,2,1,5,3] => [1,4,5,3,2] => 1
[4,2,1,5,6,3] => [4,2,1,5,3] => [1,4,5,3,2] => 1
[4,2,1,6,3,5] => [4,2,1,3,5] => [1,4,3,2,5] => 1
[4,2,1,6,5,3] => [4,2,1,5,3] => [1,4,5,3,2] => 1
[4,2,3,1,5,6] => [4,2,3,1,5] => [1,4,2,3,5] => 1
[4,2,3,1,6,5] => [4,2,3,1,5] => [1,4,2,3,5] => 1
[4,2,3,5,1,6] => [4,2,3,5,1] => [1,4,5,2,3] => 1
[4,2,3,5,6,1] => [4,2,3,5,1] => [1,4,5,2,3] => 1
[4,2,3,6,1,5] => [4,2,3,1,5] => [1,4,2,3,5] => 1
[4,2,3,6,5,1] => [4,2,3,5,1] => [1,4,5,2,3] => 1
[4,2,5,1,3,6] => [4,2,5,1,3] => [1,4,2,3,5] => 1
[4,2,5,1,6,3] => [4,2,5,1,3] => [1,4,2,3,5] => 1
[4,2,5,3,1,6] => [4,2,5,3,1] => [1,4,3,5,2] => 2
[4,2,5,3,6,1] => [4,2,5,3,1] => [1,4,3,5,2] => 2
[4,2,5,6,1,3] => [4,2,5,1,3] => [1,4,2,3,5] => 1
[4,2,5,6,3,1] => [4,2,5,3,1] => [1,4,3,5,2] => 2
[4,2,6,1,3,5] => [4,2,1,3,5] => [1,4,3,2,5] => 1
[4,2,6,1,5,3] => [4,2,1,5,3] => [1,4,5,3,2] => 1
[4,2,6,3,1,5] => [4,2,3,1,5] => [1,4,2,3,5] => 1
[4,2,6,3,5,1] => [4,2,3,5,1] => [1,4,5,2,3] => 1
[4,2,6,5,1,3] => [4,2,5,1,3] => [1,4,2,3,5] => 1
[4,2,6,5,3,1] => [4,2,5,3,1] => [1,4,3,5,2] => 2
[4,3,1,2,5,6] => [4,3,1,2,5] => [1,4,2,3,5] => 1
[4,3,1,2,6,5] => [4,3,1,2,5] => [1,4,2,3,5] => 1
[4,3,1,5,2,6] => [4,3,1,5,2] => [1,4,5,2,3] => 1
[4,3,1,5,6,2] => [4,3,1,5,2] => [1,4,5,2,3] => 1
[4,3,1,6,2,5] => [4,3,1,2,5] => [1,4,2,3,5] => 1
[4,3,1,6,5,2] => [4,3,1,5,2] => [1,4,5,2,3] => 1
[4,3,2,1,5,6] => [4,3,2,1,5] => [1,4,2,3,5] => 1
[4,3,2,1,6,5] => [4,3,2,1,5] => [1,4,2,3,5] => 1
[4,3,2,5,1,6] => [4,3,2,5,1] => [1,4,5,2,3] => 1
[4,3,2,5,6,1] => [4,3,2,5,1] => [1,4,5,2,3] => 1
[4,3,2,6,1,5] => [4,3,2,1,5] => [1,4,2,3,5] => 1
[4,3,2,6,5,1] => [4,3,2,5,1] => [1,4,5,2,3] => 1
[4,3,5,1,2,6] => [4,3,5,1,2] => [1,4,2,3,5] => 1
[4,3,5,1,6,2] => [4,3,5,1,2] => [1,4,2,3,5] => 1
[4,3,5,2,1,6] => [4,3,5,2,1] => [1,4,2,3,5] => 1
[4,3,5,2,6,1] => [4,3,5,2,1] => [1,4,2,3,5] => 1
[4,3,5,6,1,2] => [4,3,5,1,2] => [1,4,2,3,5] => 1
[4,3,5,6,2,1] => [4,3,5,2,1] => [1,4,2,3,5] => 1
[4,3,6,1,2,5] => [4,3,1,2,5] => [1,4,2,3,5] => 1
[4,3,6,1,5,2] => [4,3,1,5,2] => [1,4,5,2,3] => 1
[4,3,6,2,1,5] => [4,3,2,1,5] => [1,4,2,3,5] => 1
[4,3,6,2,5,1] => [4,3,2,5,1] => [1,4,5,2,3] => 1
[4,3,6,5,1,2] => [4,3,5,1,2] => [1,4,2,3,5] => 1
[4,3,6,5,2,1] => [4,3,5,2,1] => [1,4,2,3,5] => 1
[4,5,1,2,3,6] => [4,5,1,2,3] => [1,4,2,5,3] => 2
[4,5,1,2,6,3] => [4,5,1,2,3] => [1,4,2,5,3] => 2
[4,5,1,3,2,6] => [4,5,1,3,2] => [1,4,3,2,5] => 1
[4,5,1,3,6,2] => [4,5,1,3,2] => [1,4,3,2,5] => 1
[4,5,1,6,2,3] => [4,5,1,2,3] => [1,4,2,5,3] => 2
[4,5,1,6,3,2] => [4,5,1,3,2] => [1,4,3,2,5] => 1
[4,5,2,1,3,6] => [4,5,2,1,3] => [1,4,2,5,3] => 2
[4,5,2,1,6,3] => [4,5,2,1,3] => [1,4,2,5,3] => 2
[4,5,2,3,1,6] => [4,5,2,3,1] => [1,4,3,2,5] => 1
[4,5,2,3,6,1] => [4,5,2,3,1] => [1,4,3,2,5] => 1
[4,5,2,6,1,3] => [4,5,2,1,3] => [1,4,2,5,3] => 2
[4,5,2,6,3,1] => [4,5,2,3,1] => [1,4,3,2,5] => 1
[4,5,3,1,2,6] => [4,5,3,1,2] => [1,4,2,5,3] => 2
[4,5,3,1,6,2] => [4,5,3,1,2] => [1,4,2,5,3] => 2
[4,5,3,2,1,6] => [4,5,3,2,1] => [1,4,2,5,3] => 2
[4,5,3,2,6,1] => [4,5,3,2,1] => [1,4,2,5,3] => 2
[4,5,3,6,1,2] => [4,5,3,1,2] => [1,4,2,5,3] => 2
[4,5,3,6,2,1] => [4,5,3,2,1] => [1,4,2,5,3] => 2
[4,5,6,1,2,3] => [4,5,1,2,3] => [1,4,2,5,3] => 2
[4,5,6,1,3,2] => [4,5,1,3,2] => [1,4,3,2,5] => 1
[4,5,6,2,1,3] => [4,5,2,1,3] => [1,4,2,5,3] => 2
[4,5,6,2,3,1] => [4,5,2,3,1] => [1,4,3,2,5] => 1
[4,5,6,3,1,2] => [4,5,3,1,2] => [1,4,2,5,3] => 2
[4,5,6,3,2,1] => [4,5,3,2,1] => [1,4,2,5,3] => 2
[4,6,1,2,3,5] => [4,1,2,3,5] => [1,4,3,2,5] => 1
[4,6,1,2,5,3] => [4,1,2,5,3] => [1,4,5,3,2] => 1
[4,6,1,3,2,5] => [4,1,3,2,5] => [1,4,2,3,5] => 1
[4,6,1,3,5,2] => [4,1,3,5,2] => [1,4,5,2,3] => 1
[4,6,1,5,2,3] => [4,1,5,2,3] => [1,4,2,3,5] => 1
[4,6,1,5,3,2] => [4,1,5,3,2] => [1,4,3,5,2] => 2
[4,6,2,1,3,5] => [4,2,1,3,5] => [1,4,3,2,5] => 1
[4,6,2,1,5,3] => [4,2,1,5,3] => [1,4,5,3,2] => 1
[4,6,2,3,1,5] => [4,2,3,1,5] => [1,4,2,3,5] => 1
[4,6,2,3,5,1] => [4,2,3,5,1] => [1,4,5,2,3] => 1
[4,6,2,5,1,3] => [4,2,5,1,3] => [1,4,2,3,5] => 1
[4,6,2,5,3,1] => [4,2,5,3,1] => [1,4,3,5,2] => 2
[4,6,3,1,2,5] => [4,3,1,2,5] => [1,4,2,3,5] => 1
[4,6,3,1,5,2] => [4,3,1,5,2] => [1,4,5,2,3] => 1
[4,6,3,2,1,5] => [4,3,2,1,5] => [1,4,2,3,5] => 1
[4,6,3,2,5,1] => [4,3,2,5,1] => [1,4,5,2,3] => 1
[4,6,3,5,1,2] => [4,3,5,1,2] => [1,4,2,3,5] => 1
[4,6,3,5,2,1] => [4,3,5,2,1] => [1,4,2,3,5] => 1
[4,6,5,1,2,3] => [4,5,1,2,3] => [1,4,2,5,3] => 2
[4,6,5,1,3,2] => [4,5,1,3,2] => [1,4,3,2,5] => 1
[4,6,5,2,1,3] => [4,5,2,1,3] => [1,4,2,5,3] => 2
[4,6,5,2,3,1] => [4,5,2,3,1] => [1,4,3,2,5] => 1
[4,6,5,3,1,2] => [4,5,3,1,2] => [1,4,2,5,3] => 2
[4,6,5,3,2,1] => [4,5,3,2,1] => [1,4,2,5,3] => 2
[5,1,2,3,4,6] => [5,1,2,3,4] => [1,5,4,3,2] => 1
[5,1,2,3,6,4] => [5,1,2,3,4] => [1,5,4,3,2] => 1
[5,1,2,4,3,6] => [5,1,2,4,3] => [1,5,3,2,4] => 1
[5,1,2,4,6,3] => [5,1,2,4,3] => [1,5,3,2,4] => 1
[5,1,2,6,3,4] => [5,1,2,3,4] => [1,5,4,3,2] => 1
[5,1,2,6,4,3] => [5,1,2,4,3] => [1,5,3,2,4] => 1
[5,1,3,2,4,6] => [5,1,3,2,4] => [1,5,4,2,3] => 1
[5,1,3,2,6,4] => [5,1,3,2,4] => [1,5,4,2,3] => 1
[5,1,3,4,2,6] => [5,1,3,4,2] => [1,5,2,3,4] => 1
[5,1,3,4,6,2] => [5,1,3,4,2] => [1,5,2,3,4] => 1
[5,1,3,6,2,4] => [5,1,3,2,4] => [1,5,4,2,3] => 1
[5,1,3,6,4,2] => [5,1,3,4,2] => [1,5,2,3,4] => 1
[5,1,4,2,3,6] => [5,1,4,2,3] => [1,5,3,4,2] => 2
[5,1,4,2,6,3] => [5,1,4,2,3] => [1,5,3,4,2] => 2
[5,1,4,3,2,6] => [5,1,4,3,2] => [1,5,2,3,4] => 1
[5,1,4,3,6,2] => [5,1,4,3,2] => [1,5,2,3,4] => 1
[5,1,4,6,2,3] => [5,1,4,2,3] => [1,5,3,4,2] => 2
[5,1,4,6,3,2] => [5,1,4,3,2] => [1,5,2,3,4] => 1
[5,1,6,2,3,4] => [5,1,2,3,4] => [1,5,4,3,2] => 1
[5,1,6,2,4,3] => [5,1,2,4,3] => [1,5,3,2,4] => 1
[5,1,6,3,2,4] => [5,1,3,2,4] => [1,5,4,2,3] => 1
[5,1,6,3,4,2] => [5,1,3,4,2] => [1,5,2,3,4] => 1
[5,1,6,4,2,3] => [5,1,4,2,3] => [1,5,3,4,2] => 2
[5,1,6,4,3,2] => [5,1,4,3,2] => [1,5,2,3,4] => 1
[5,2,1,3,4,6] => [5,2,1,3,4] => [1,5,4,3,2] => 1
[5,2,1,3,6,4] => [5,2,1,3,4] => [1,5,4,3,2] => 1
[5,2,1,4,3,6] => [5,2,1,4,3] => [1,5,3,2,4] => 1
[5,2,1,4,6,3] => [5,2,1,4,3] => [1,5,3,2,4] => 1
[5,2,1,6,3,4] => [5,2,1,3,4] => [1,5,4,3,2] => 1
[5,2,1,6,4,3] => [5,2,1,4,3] => [1,5,3,2,4] => 1
[5,2,3,1,4,6] => [5,2,3,1,4] => [1,5,4,2,3] => 1
[5,2,3,1,6,4] => [5,2,3,1,4] => [1,5,4,2,3] => 1
[5,2,3,4,1,6] => [5,2,3,4,1] => [1,5,2,3,4] => 1
[5,2,3,4,6,1] => [5,2,3,4,1] => [1,5,2,3,4] => 1
[5,2,3,6,1,4] => [5,2,3,1,4] => [1,5,4,2,3] => 1
[5,2,3,6,4,1] => [5,2,3,4,1] => [1,5,2,3,4] => 1
[5,2,4,1,3,6] => [5,2,4,1,3] => [1,5,3,4,2] => 2
[5,2,4,1,6,3] => [5,2,4,1,3] => [1,5,3,4,2] => 2
[5,2,4,3,1,6] => [5,2,4,3,1] => [1,5,2,3,4] => 1
[5,2,4,3,6,1] => [5,2,4,3,1] => [1,5,2,3,4] => 1
[5,2,4,6,1,3] => [5,2,4,1,3] => [1,5,3,4,2] => 2
[5,2,4,6,3,1] => [5,2,4,3,1] => [1,5,2,3,4] => 1
[5,2,6,1,3,4] => [5,2,1,3,4] => [1,5,4,3,2] => 1
[5,2,6,1,4,3] => [5,2,1,4,3] => [1,5,3,2,4] => 1
[5,2,6,3,1,4] => [5,2,3,1,4] => [1,5,4,2,3] => 1
[5,2,6,3,4,1] => [5,2,3,4,1] => [1,5,2,3,4] => 1
[5,2,6,4,1,3] => [5,2,4,1,3] => [1,5,3,4,2] => 2
[5,2,6,4,3,1] => [5,2,4,3,1] => [1,5,2,3,4] => 1
[5,3,1,2,4,6] => [5,3,1,2,4] => [1,5,4,2,3] => 1
[5,3,1,2,6,4] => [5,3,1,2,4] => [1,5,4,2,3] => 1
[5,3,1,4,2,6] => [5,3,1,4,2] => [1,5,2,3,4] => 1
[5,3,1,4,6,2] => [5,3,1,4,2] => [1,5,2,3,4] => 1
[5,3,1,6,2,4] => [5,3,1,2,4] => [1,5,4,2,3] => 1
[5,3,1,6,4,2] => [5,3,1,4,2] => [1,5,2,3,4] => 1
[5,3,2,1,4,6] => [5,3,2,1,4] => [1,5,4,2,3] => 1
[5,3,2,1,6,4] => [5,3,2,1,4] => [1,5,4,2,3] => 1
[5,3,2,4,1,6] => [5,3,2,4,1] => [1,5,2,3,4] => 1
[5,3,2,4,6,1] => [5,3,2,4,1] => [1,5,2,3,4] => 1
[5,3,2,6,1,4] => [5,3,2,1,4] => [1,5,4,2,3] => 1
[5,3,2,6,4,1] => [5,3,2,4,1] => [1,5,2,3,4] => 1
[5,3,4,1,2,6] => [5,3,4,1,2] => [1,5,2,3,4] => 1
[5,3,4,1,6,2] => [5,3,4,1,2] => [1,5,2,3,4] => 1
[5,3,4,2,1,6] => [5,3,4,2,1] => [1,5,2,3,4] => 1
[5,3,4,2,6,1] => [5,3,4,2,1] => [1,5,2,3,4] => 1
[5,3,4,6,1,2] => [5,3,4,1,2] => [1,5,2,3,4] => 1
[5,3,4,6,2,1] => [5,3,4,2,1] => [1,5,2,3,4] => 1
[5,3,6,1,2,4] => [5,3,1,2,4] => [1,5,4,2,3] => 1
[5,3,6,1,4,2] => [5,3,1,4,2] => [1,5,2,3,4] => 1
[5,3,6,2,1,4] => [5,3,2,1,4] => [1,5,4,2,3] => 1
[5,3,6,2,4,1] => [5,3,2,4,1] => [1,5,2,3,4] => 1
[5,3,6,4,1,2] => [5,3,4,1,2] => [1,5,2,3,4] => 1
[5,3,6,4,2,1] => [5,3,4,2,1] => [1,5,2,3,4] => 1
[5,4,1,2,3,6] => [5,4,1,2,3] => [1,5,3,2,4] => 1
[5,4,1,2,6,3] => [5,4,1,2,3] => [1,5,3,2,4] => 1
[5,4,1,3,2,6] => [5,4,1,3,2] => [1,5,2,4,3] => 2
[5,4,1,3,6,2] => [5,4,1,3,2] => [1,5,2,4,3] => 2
[5,4,1,6,2,3] => [5,4,1,2,3] => [1,5,3,2,4] => 1
[5,4,1,6,3,2] => [5,4,1,3,2] => [1,5,2,4,3] => 2
[5,4,2,1,3,6] => [5,4,2,1,3] => [1,5,3,2,4] => 1
[5,4,2,1,6,3] => [5,4,2,1,3] => [1,5,3,2,4] => 1
[5,4,2,3,1,6] => [5,4,2,3,1] => [1,5,2,4,3] => 2
[5,4,2,3,6,1] => [5,4,2,3,1] => [1,5,2,4,3] => 2
[5,4,2,6,1,3] => [5,4,2,1,3] => [1,5,3,2,4] => 1
[5,4,2,6,3,1] => [5,4,2,3,1] => [1,5,2,4,3] => 2
[5,4,3,1,2,6] => [5,4,3,1,2] => [1,5,2,4,3] => 2
[5,4,3,1,6,2] => [5,4,3,1,2] => [1,5,2,4,3] => 2
[5,4,3,2,1,6] => [5,4,3,2,1] => [1,5,2,4,3] => 2
[5,4,3,2,6,1] => [5,4,3,2,1] => [1,5,2,4,3] => 2
[5,4,3,6,1,2] => [5,4,3,1,2] => [1,5,2,4,3] => 2
[5,4,3,6,2,1] => [5,4,3,2,1] => [1,5,2,4,3] => 2
[5,4,6,1,2,3] => [5,4,1,2,3] => [1,5,3,2,4] => 1
[5,4,6,1,3,2] => [5,4,1,3,2] => [1,5,2,4,3] => 2
[5,4,6,2,1,3] => [5,4,2,1,3] => [1,5,3,2,4] => 1
[5,4,6,2,3,1] => [5,4,2,3,1] => [1,5,2,4,3] => 2
[5,4,6,3,1,2] => [5,4,3,1,2] => [1,5,2,4,3] => 2
[5,4,6,3,2,1] => [5,4,3,2,1] => [1,5,2,4,3] => 2
[5,6,1,2,3,4] => [5,1,2,3,4] => [1,5,4,3,2] => 1
[5,6,1,2,4,3] => [5,1,2,4,3] => [1,5,3,2,4] => 1
[5,6,1,3,2,4] => [5,1,3,2,4] => [1,5,4,2,3] => 1
[5,6,1,3,4,2] => [5,1,3,4,2] => [1,5,2,3,4] => 1
[5,6,1,4,2,3] => [5,1,4,2,3] => [1,5,3,4,2] => 2
[5,6,1,4,3,2] => [5,1,4,3,2] => [1,5,2,3,4] => 1
[5,6,2,1,3,4] => [5,2,1,3,4] => [1,5,4,3,2] => 1
[5,6,2,1,4,3] => [5,2,1,4,3] => [1,5,3,2,4] => 1
[5,6,2,3,1,4] => [5,2,3,1,4] => [1,5,4,2,3] => 1
[5,6,2,3,4,1] => [5,2,3,4,1] => [1,5,2,3,4] => 1
[5,6,2,4,1,3] => [5,2,4,1,3] => [1,5,3,4,2] => 2
[5,6,2,4,3,1] => [5,2,4,3,1] => [1,5,2,3,4] => 1
[5,6,3,1,2,4] => [5,3,1,2,4] => [1,5,4,2,3] => 1
[5,6,3,1,4,2] => [5,3,1,4,2] => [1,5,2,3,4] => 1
[5,6,3,2,1,4] => [5,3,2,1,4] => [1,5,4,2,3] => 1
[5,6,3,2,4,1] => [5,3,2,4,1] => [1,5,2,3,4] => 1
[5,6,3,4,1,2] => [5,3,4,1,2] => [1,5,2,3,4] => 1
[5,6,3,4,2,1] => [5,3,4,2,1] => [1,5,2,3,4] => 1
[5,6,4,1,2,3] => [5,4,1,2,3] => [1,5,3,2,4] => 1
[5,6,4,1,3,2] => [5,4,1,3,2] => [1,5,2,4,3] => 2
[5,6,4,2,1,3] => [5,4,2,1,3] => [1,5,3,2,4] => 1
[5,6,4,2,3,1] => [5,4,2,3,1] => [1,5,2,4,3] => 2
[5,6,4,3,1,2] => [5,4,3,1,2] => [1,5,2,4,3] => 2
[5,6,4,3,2,1] => [5,4,3,2,1] => [1,5,2,4,3] => 2
[6,1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[6,1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,4,5] => 0
[6,1,2,4,3,5] => [1,2,4,3,5] => [1,2,3,4,5] => 0
[6,1,2,4,5,3] => [1,2,4,5,3] => [1,2,3,4,5] => 0
[6,1,2,5,3,4] => [1,2,5,3,4] => [1,2,3,5,4] => 1
[6,1,2,5,4,3] => [1,2,5,4,3] => [1,2,3,5,4] => 1
[6,1,3,2,4,5] => [1,3,2,4,5] => [1,2,3,4,5] => 0
[6,1,3,2,5,4] => [1,3,2,5,4] => [1,2,3,4,5] => 0
[6,1,3,4,2,5] => [1,3,4,2,5] => [1,2,3,4,5] => 0
[6,1,3,4,5,2] => [1,3,4,5,2] => [1,2,3,4,5] => 0
[6,1,3,5,2,4] => [1,3,5,2,4] => [1,2,3,5,4] => 1
[6,1,3,5,4,2] => [1,3,5,4,2] => [1,2,3,5,4] => 1
[6,1,4,2,3,5] => [1,4,2,3,5] => [1,2,4,3,5] => 1
[6,1,4,2,5,3] => [1,4,2,5,3] => [1,2,4,5,3] => 1
[6,1,4,3,2,5] => [1,4,3,2,5] => [1,2,4,3,5] => 1
[6,1,4,3,5,2] => [1,4,3,5,2] => [1,2,4,5,3] => 1
[6,1,4,5,2,3] => [1,4,5,2,3] => [1,2,4,3,5] => 1
[6,1,4,5,3,2] => [1,4,5,3,2] => [1,2,4,3,5] => 1
[6,1,5,2,3,4] => [1,5,2,3,4] => [1,2,5,4,3] => 1
[6,1,5,2,4,3] => [1,5,2,4,3] => [1,2,5,3,4] => 1
[6,1,5,3,2,4] => [1,5,3,2,4] => [1,2,5,4,3] => 1
[6,1,5,3,4,2] => [1,5,3,4,2] => [1,2,5,3,4] => 1
[6,1,5,4,2,3] => [1,5,4,2,3] => [1,2,5,3,4] => 1
[6,1,5,4,3,2] => [1,5,4,3,2] => [1,2,5,3,4] => 1
[6,2,1,3,4,5] => [2,1,3,4,5] => [1,2,3,4,5] => 0
[6,2,1,3,5,4] => [2,1,3,5,4] => [1,2,3,4,5] => 0
[6,2,1,4,3,5] => [2,1,4,3,5] => [1,2,3,4,5] => 0
[6,2,1,4,5,3] => [2,1,4,5,3] => [1,2,3,4,5] => 0
[6,2,1,5,3,4] => [2,1,5,3,4] => [1,2,3,5,4] => 1
[6,2,1,5,4,3] => [2,1,5,4,3] => [1,2,3,5,4] => 1
[6,2,3,1,4,5] => [2,3,1,4,5] => [1,2,3,4,5] => 0
[6,2,3,1,5,4] => [2,3,1,5,4] => [1,2,3,4,5] => 0
[6,2,3,4,1,5] => [2,3,4,1,5] => [1,2,3,4,5] => 0
[6,2,3,4,5,1] => [2,3,4,5,1] => [1,2,3,4,5] => 0
[6,2,3,5,1,4] => [2,3,5,1,4] => [1,2,3,5,4] => 1
[6,2,3,5,4,1] => [2,3,5,4,1] => [1,2,3,5,4] => 1
[6,2,4,1,3,5] => [2,4,1,3,5] => [1,2,4,3,5] => 1
[6,2,4,1,5,3] => [2,4,1,5,3] => [1,2,4,5,3] => 1
[6,2,4,3,1,5] => [2,4,3,1,5] => [1,2,4,3,5] => 1
[6,2,4,3,5,1] => [2,4,3,5,1] => [1,2,4,5,3] => 1
[6,2,4,5,1,3] => [2,4,5,1,3] => [1,2,4,3,5] => 1
[6,2,4,5,3,1] => [2,4,5,3,1] => [1,2,4,3,5] => 1
[6,2,5,1,3,4] => [2,5,1,3,4] => [1,2,5,4,3] => 1
[6,2,5,1,4,3] => [2,5,1,4,3] => [1,2,5,3,4] => 1
[6,2,5,3,1,4] => [2,5,3,1,4] => [1,2,5,4,3] => 1
[6,2,5,3,4,1] => [2,5,3,4,1] => [1,2,5,3,4] => 1
[6,2,5,4,1,3] => [2,5,4,1,3] => [1,2,5,3,4] => 1
[6,2,5,4,3,1] => [2,5,4,3,1] => [1,2,5,3,4] => 1
[6,3,1,2,4,5] => [3,1,2,4,5] => [1,3,2,4,5] => 1
[6,3,1,2,5,4] => [3,1,2,5,4] => [1,3,2,4,5] => 1
[6,3,1,4,2,5] => [3,1,4,2,5] => [1,3,4,2,5] => 1
[6,3,1,4,5,2] => [3,1,4,5,2] => [1,3,4,5,2] => 1
[6,3,1,5,2,4] => [3,1,5,2,4] => [1,3,5,4,2] => 1
[6,3,1,5,4,2] => [3,1,5,4,2] => [1,3,5,2,4] => 1
[6,3,2,1,4,5] => [3,2,1,4,5] => [1,3,2,4,5] => 1
[6,3,2,1,5,4] => [3,2,1,5,4] => [1,3,2,4,5] => 1
[6,3,2,4,1,5] => [3,2,4,1,5] => [1,3,4,2,5] => 1
[6,3,2,4,5,1] => [3,2,4,5,1] => [1,3,4,5,2] => 1
[6,3,2,5,1,4] => [3,2,5,1,4] => [1,3,5,4,2] => 1
[6,3,2,5,4,1] => [3,2,5,4,1] => [1,3,5,2,4] => 1
[6,3,4,1,2,5] => [3,4,1,2,5] => [1,3,2,4,5] => 1
[6,3,4,1,5,2] => [3,4,1,5,2] => [1,3,2,4,5] => 1
[6,3,4,2,1,5] => [3,4,2,1,5] => [1,3,2,4,5] => 1
[6,3,4,2,5,1] => [3,4,2,5,1] => [1,3,2,4,5] => 1
[6,3,4,5,1,2] => [3,4,5,1,2] => [1,3,5,2,4] => 1
[6,3,4,5,2,1] => [3,4,5,2,1] => [1,3,5,2,4] => 1
[6,3,5,1,2,4] => [3,5,1,2,4] => [1,3,2,5,4] => 2
[6,3,5,1,4,2] => [3,5,1,4,2] => [1,3,2,5,4] => 2
[6,3,5,2,1,4] => [3,5,2,1,4] => [1,3,2,5,4] => 2
[6,3,5,2,4,1] => [3,5,2,4,1] => [1,3,2,5,4] => 2
[6,3,5,4,1,2] => [3,5,4,1,2] => [1,3,4,2,5] => 1
[6,3,5,4,2,1] => [3,5,4,2,1] => [1,3,4,2,5] => 1
[6,4,1,2,3,5] => [4,1,2,3,5] => [1,4,3,2,5] => 1
[6,4,1,2,5,3] => [4,1,2,5,3] => [1,4,5,3,2] => 1
[6,4,1,3,2,5] => [4,1,3,2,5] => [1,4,2,3,5] => 1
[6,4,1,3,5,2] => [4,1,3,5,2] => [1,4,5,2,3] => 1
[6,4,1,5,2,3] => [4,1,5,2,3] => [1,4,2,3,5] => 1
[6,4,1,5,3,2] => [4,1,5,3,2] => [1,4,3,5,2] => 2
[6,4,2,1,3,5] => [4,2,1,3,5] => [1,4,3,2,5] => 1
[6,4,2,1,5,3] => [4,2,1,5,3] => [1,4,5,3,2] => 1
[6,4,2,3,1,5] => [4,2,3,1,5] => [1,4,2,3,5] => 1
[6,4,2,3,5,1] => [4,2,3,5,1] => [1,4,5,2,3] => 1
[6,4,2,5,1,3] => [4,2,5,1,3] => [1,4,2,3,5] => 1
[6,4,2,5,3,1] => [4,2,5,3,1] => [1,4,3,5,2] => 2
[6,4,3,1,2,5] => [4,3,1,2,5] => [1,4,2,3,5] => 1
[6,4,3,1,5,2] => [4,3,1,5,2] => [1,4,5,2,3] => 1
[6,4,3,2,1,5] => [4,3,2,1,5] => [1,4,2,3,5] => 1
[6,4,3,2,5,1] => [4,3,2,5,1] => [1,4,5,2,3] => 1
[6,4,3,5,1,2] => [4,3,5,1,2] => [1,4,2,3,5] => 1
[6,4,3,5,2,1] => [4,3,5,2,1] => [1,4,2,3,5] => 1
[6,4,5,1,2,3] => [4,5,1,2,3] => [1,4,2,5,3] => 2
[6,4,5,1,3,2] => [4,5,1,3,2] => [1,4,3,2,5] => 1
[6,4,5,2,1,3] => [4,5,2,1,3] => [1,4,2,5,3] => 2
[6,4,5,2,3,1] => [4,5,2,3,1] => [1,4,3,2,5] => 1
[6,4,5,3,1,2] => [4,5,3,1,2] => [1,4,2,5,3] => 2
[6,4,5,3,2,1] => [4,5,3,2,1] => [1,4,2,5,3] => 2
[6,5,1,2,3,4] => [5,1,2,3,4] => [1,5,4,3,2] => 1
[6,5,1,2,4,3] => [5,1,2,4,3] => [1,5,3,2,4] => 1
[6,5,1,3,2,4] => [5,1,3,2,4] => [1,5,4,2,3] => 1
[6,5,1,3,4,2] => [5,1,3,4,2] => [1,5,2,3,4] => 1
[6,5,1,4,2,3] => [5,1,4,2,3] => [1,5,3,4,2] => 2
[6,5,1,4,3,2] => [5,1,4,3,2] => [1,5,2,3,4] => 1
[6,5,2,1,3,4] => [5,2,1,3,4] => [1,5,4,3,2] => 1
[6,5,2,1,4,3] => [5,2,1,4,3] => [1,5,3,2,4] => 1
[6,5,2,3,1,4] => [5,2,3,1,4] => [1,5,4,2,3] => 1
[6,5,2,3,4,1] => [5,2,3,4,1] => [1,5,2,3,4] => 1
[6,5,2,4,1,3] => [5,2,4,1,3] => [1,5,3,4,2] => 2
[6,5,2,4,3,1] => [5,2,4,3,1] => [1,5,2,3,4] => 1
[6,5,3,1,2,4] => [5,3,1,2,4] => [1,5,4,2,3] => 1
[6,5,3,1,4,2] => [5,3,1,4,2] => [1,5,2,3,4] => 1
[6,5,3,2,1,4] => [5,3,2,1,4] => [1,5,4,2,3] => 1
[6,5,3,2,4,1] => [5,3,2,4,1] => [1,5,2,3,4] => 1
[6,5,3,4,1,2] => [5,3,4,1,2] => [1,5,2,3,4] => 1
[6,5,3,4,2,1] => [5,3,4,2,1] => [1,5,2,3,4] => 1
[6,5,4,1,2,3] => [5,4,1,2,3] => [1,5,3,2,4] => 1
[6,5,4,1,3,2] => [5,4,1,3,2] => [1,5,2,4,3] => 2
[6,5,4,2,1,3] => [5,4,2,1,3] => [1,5,3,2,4] => 1
[6,5,4,2,3,1] => [5,4,2,3,1] => [1,5,2,4,3] => 2
[6,5,4,3,1,2] => [5,4,3,1,2] => [1,5,2,4,3] => 2
[6,5,4,3,2,1] => [5,4,3,2,1] => [1,5,2,4,3] => 2
[1,2,3,4,5,6,7] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,3,4,5,7,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,3,4,6,5,7] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,2,3,4,6,7,5] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,2,3,4,7,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,3,4,7,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,2,3,5,4,6,7] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[1,2,3,5,4,7,6] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[1,2,3,5,6,4,7] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => 0
[1,2,3,5,6,7,4] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => 0
[1,2,3,5,7,4,6] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[1,2,3,5,7,6,4] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => 0
[1,2,3,6,4,5,7] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,2,3,6,4,7,5] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,2,3,6,5,4,7] => [1,2,3,6,5,4] => [1,2,3,4,6,5] => 1
[1,2,3,6,5,7,4] => [1,2,3,6,5,4] => [1,2,3,4,6,5] => 1
[1,2,3,6,7,4,5] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,2,3,6,7,5,4] => [1,2,3,6,5,4] => [1,2,3,4,6,5] => 1
[1,2,3,7,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,3,7,4,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,2,3,7,5,4,6] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[1,2,3,7,5,6,4] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => 0
[1,2,3,7,6,4,5] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,2,3,7,6,5,4] => [1,2,3,6,5,4] => [1,2,3,4,6,5] => 1
[1,2,4,3,5,6,7] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[1,2,4,3,5,7,6] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[1,2,4,3,6,5,7] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,2,4,3,6,7,5] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,2,4,3,7,5,6] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[1,2,4,3,7,6,5] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,2,4,5,3,6,7] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => 0
[1,2,4,5,3,7,6] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => 0
[1,2,4,5,6,3,7] => [1,2,4,5,6,3] => [1,2,3,4,5,6] => 0
[1,2,4,5,6,7,3] => [1,2,4,5,6,3] => [1,2,3,4,5,6] => 0
[1,2,4,5,7,3,6] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => 0
[1,2,4,5,7,6,3] => [1,2,4,5,6,3] => [1,2,3,4,5,6] => 0
[1,2,4,6,3,5,7] => [1,2,4,6,3,5] => [1,2,3,4,6,5] => 1
[1,2,4,6,3,7,5] => [1,2,4,6,3,5] => [1,2,3,4,6,5] => 1
[1,2,4,6,5,3,7] => [1,2,4,6,5,3] => [1,2,3,4,6,5] => 1
[1,2,4,6,5,7,3] => [1,2,4,6,5,3] => [1,2,3,4,6,5] => 1
[1,2,4,6,7,3,5] => [1,2,4,6,3,5] => [1,2,3,4,6,5] => 1
[1,2,4,6,7,5,3] => [1,2,4,6,5,3] => [1,2,3,4,6,5] => 1
[1,2,4,7,3,5,6] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[1,2,4,7,3,6,5] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,2,4,7,5,3,6] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => 0
[1,2,4,7,5,6,3] => [1,2,4,5,6,3] => [1,2,3,4,5,6] => 0
[1,2,4,7,6,3,5] => [1,2,4,6,3,5] => [1,2,3,4,6,5] => 1
[1,2,4,7,6,5,3] => [1,2,4,6,5,3] => [1,2,3,4,6,5] => 1
[1,2,5,3,4,6,7] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,2,5,3,4,7,6] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,2,5,3,6,4,7] => [1,2,5,3,6,4] => [1,2,3,5,6,4] => 1
[1,2,5,3,6,7,4] => [1,2,5,3,6,4] => [1,2,3,5,6,4] => 1
[1,2,5,3,7,4,6] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,2,5,3,7,6,4] => [1,2,5,3,6,4] => [1,2,3,5,6,4] => 1
[1,2,5,4,3,6,7] => [1,2,5,4,3,6] => [1,2,3,5,4,6] => 1
[1,2,5,4,3,7,6] => [1,2,5,4,3,6] => [1,2,3,5,4,6] => 1
[1,2,5,4,6,3,7] => [1,2,5,4,6,3] => [1,2,3,5,6,4] => 1
[1,2,5,4,6,7,3] => [1,2,5,4,6,3] => [1,2,3,5,6,4] => 1
[1,2,5,4,7,3,6] => [1,2,5,4,3,6] => [1,2,3,5,4,6] => 1
[1,2,5,4,7,6,3] => [1,2,5,4,6,3] => [1,2,3,5,6,4] => 1
[1,2,5,6,3,4,7] => [1,2,5,6,3,4] => [1,2,3,5,4,6] => 1
[1,2,5,6,3,7,4] => [1,2,5,6,3,4] => [1,2,3,5,4,6] => 1
[1,2,5,6,4,3,7] => [1,2,5,6,4,3] => [1,2,3,5,4,6] => 1
[1,2,5,6,4,7,3] => [1,2,5,6,4,3] => [1,2,3,5,4,6] => 1
[1,2,5,6,7,3,4] => [1,2,5,6,3,4] => [1,2,3,5,4,6] => 1
[1,2,5,6,7,4,3] => [1,2,5,6,4,3] => [1,2,3,5,4,6] => 1
[1,2,5,7,3,4,6] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,2,5,7,3,6,4] => [1,2,5,3,6,4] => [1,2,3,5,6,4] => 1
[1,2,5,7,4,3,6] => [1,2,5,4,3,6] => [1,2,3,5,4,6] => 1
[1,2,5,7,4,6,3] => [1,2,5,4,6,3] => [1,2,3,5,6,4] => 1
[1,2,5,7,6,3,4] => [1,2,5,6,3,4] => [1,2,3,5,4,6] => 1
[1,2,5,7,6,4,3] => [1,2,5,6,4,3] => [1,2,3,5,4,6] => 1
[1,2,6,3,4,5,7] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 1
[1,2,6,3,4,7,5] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 1
[1,2,6,3,5,4,7] => [1,2,6,3,5,4] => [1,2,3,6,4,5] => 1
[1,2,6,3,5,7,4] => [1,2,6,3,5,4] => [1,2,3,6,4,5] => 1
[1,2,6,3,7,4,5] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 1
[1,2,6,3,7,5,4] => [1,2,6,3,5,4] => [1,2,3,6,4,5] => 1
[1,2,6,4,3,5,7] => [1,2,6,4,3,5] => [1,2,3,6,5,4] => 1
[1,2,6,4,3,7,5] => [1,2,6,4,3,5] => [1,2,3,6,5,4] => 1
[1,2,6,4,5,3,7] => [1,2,6,4,5,3] => [1,2,3,6,4,5] => 1
[1,2,6,4,5,7,3] => [1,2,6,4,5,3] => [1,2,3,6,4,5] => 1
[1,2,6,4,7,3,5] => [1,2,6,4,3,5] => [1,2,3,6,5,4] => 1
[1,2,6,4,7,5,3] => [1,2,6,4,5,3] => [1,2,3,6,4,5] => 1
[1,2,6,5,3,4,7] => [1,2,6,5,3,4] => [1,2,3,6,4,5] => 1
[1,2,6,5,3,7,4] => [1,2,6,5,3,4] => [1,2,3,6,4,5] => 1
[1,2,6,5,4,3,7] => [1,2,6,5,4,3] => [1,2,3,6,4,5] => 1
[1,2,6,5,4,7,3] => [1,2,6,5,4,3] => [1,2,3,6,4,5] => 1
[1,2,6,5,7,3,4] => [1,2,6,5,3,4] => [1,2,3,6,4,5] => 1
[1,2,6,5,7,4,3] => [1,2,6,5,4,3] => [1,2,3,6,4,5] => 1
[1,2,6,7,3,4,5] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 1
[1,2,6,7,3,5,4] => [1,2,6,3,5,4] => [1,2,3,6,4,5] => 1
[1,2,6,7,4,3,5] => [1,2,6,4,3,5] => [1,2,3,6,5,4] => 1
[1,2,6,7,4,5,3] => [1,2,6,4,5,3] => [1,2,3,6,4,5] => 1
[1,2,6,7,5,3,4] => [1,2,6,5,3,4] => [1,2,3,6,4,5] => 1
[1,2,6,7,5,4,3] => [1,2,6,5,4,3] => [1,2,3,6,4,5] => 1
[1,2,7,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,7,3,4,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,2,7,3,5,4,6] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[1,2,7,3,5,6,4] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => 0
[1,2,7,3,6,4,5] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,2,7,3,6,5,4] => [1,2,3,6,5,4] => [1,2,3,4,6,5] => 1
[1,2,7,4,3,5,6] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[1,2,7,4,3,6,5] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,2,7,4,5,3,6] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => 0
[1,2,7,4,5,6,3] => [1,2,4,5,6,3] => [1,2,3,4,5,6] => 0
[1,2,7,4,6,3,5] => [1,2,4,6,3,5] => [1,2,3,4,6,5] => 1
[1,2,7,4,6,5,3] => [1,2,4,6,5,3] => [1,2,3,4,6,5] => 1
[1,2,7,5,3,4,6] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,2,7,5,3,6,4] => [1,2,5,3,6,4] => [1,2,3,5,6,4] => 1
[1,2,7,5,4,3,6] => [1,2,5,4,3,6] => [1,2,3,5,4,6] => 1
[1,2,7,5,4,6,3] => [1,2,5,4,6,3] => [1,2,3,5,6,4] => 1
[1,2,7,5,6,3,4] => [1,2,5,6,3,4] => [1,2,3,5,4,6] => 1
[1,2,7,5,6,4,3] => [1,2,5,6,4,3] => [1,2,3,5,4,6] => 1
[1,2,7,6,3,4,5] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 1
[1,2,7,6,3,5,4] => [1,2,6,3,5,4] => [1,2,3,6,4,5] => 1
[1,2,7,6,4,3,5] => [1,2,6,4,3,5] => [1,2,3,6,5,4] => 1
[1,2,7,6,4,5,3] => [1,2,6,4,5,3] => [1,2,3,6,4,5] => 1
[1,2,7,6,5,3,4] => [1,2,6,5,3,4] => [1,2,3,6,4,5] => 1
[1,2,7,6,5,4,3] => [1,2,6,5,4,3] => [1,2,3,6,4,5] => 1
[1,3,2,4,5,6,7] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[1,3,2,4,5,7,6] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[1,3,2,4,6,5,7] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[1,3,2,4,6,7,5] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[1,3,2,4,7,5,6] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[1,3,2,4,7,6,5] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[1,3,2,5,4,6,7] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => 0
[1,3,2,5,4,7,6] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => 0
[1,3,2,5,6,4,7] => [1,3,2,5,6,4] => [1,2,3,4,5,6] => 0
[1,3,2,5,6,7,4] => [1,3,2,5,6,4] => [1,2,3,4,5,6] => 0
[1,3,2,5,7,4,6] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => 0
[1,3,2,5,7,6,4] => [1,3,2,5,6,4] => [1,2,3,4,5,6] => 0
[1,3,2,6,4,5,7] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[1,3,2,6,4,7,5] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[1,3,2,6,5,4,7] => [1,3,2,6,5,4] => [1,2,3,4,6,5] => 1
[1,3,2,6,5,7,4] => [1,3,2,6,5,4] => [1,2,3,4,6,5] => 1
[1,3,2,6,7,4,5] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[1,3,2,6,7,5,4] => [1,3,2,6,5,4] => [1,2,3,4,6,5] => 1
[1,3,2,7,4,5,6] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[1,3,2,7,4,6,5] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[1,3,2,7,5,4,6] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => 0
[1,3,2,7,5,6,4] => [1,3,2,5,6,4] => [1,2,3,4,5,6] => 0
[1,3,2,7,6,4,5] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[1,3,2,7,6,5,4] => [1,3,2,6,5,4] => [1,2,3,4,6,5] => 1
[1,3,4,2,5,6,7] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => 0
[1,3,4,2,5,7,6] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => 0
[1,3,4,2,6,5,7] => [1,3,4,2,6,5] => [1,2,3,4,5,6] => 0
[1,3,4,2,6,7,5] => [1,3,4,2,6,5] => [1,2,3,4,5,6] => 0
[1,3,4,2,7,5,6] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => 0
[1,3,4,2,7,6,5] => [1,3,4,2,6,5] => [1,2,3,4,5,6] => 0
[1,3,4,5,2,6,7] => [1,3,4,5,2,6] => [1,2,3,4,5,6] => 0
[1,3,4,5,2,7,6] => [1,3,4,5,2,6] => [1,2,3,4,5,6] => 0
[1,3,4,5,6,2,7] => [1,3,4,5,6,2] => [1,2,3,4,5,6] => 0
[1,3,4,5,6,7,2] => [1,3,4,5,6,2] => [1,2,3,4,5,6] => 0
[1,3,4,5,7,2,6] => [1,3,4,5,2,6] => [1,2,3,4,5,6] => 0
[1,3,4,5,7,6,2] => [1,3,4,5,6,2] => [1,2,3,4,5,6] => 0
[1,3,4,6,2,5,7] => [1,3,4,6,2,5] => [1,2,3,4,6,5] => 1
[1,3,4,6,2,7,5] => [1,3,4,6,2,5] => [1,2,3,4,6,5] => 1
[1,3,4,6,5,2,7] => [1,3,4,6,5,2] => [1,2,3,4,6,5] => 1
[1,3,4,6,5,7,2] => [1,3,4,6,5,2] => [1,2,3,4,6,5] => 1
[1,3,4,6,7,2,5] => [1,3,4,6,2,5] => [1,2,3,4,6,5] => 1
[1,3,4,6,7,5,2] => [1,3,4,6,5,2] => [1,2,3,4,6,5] => 1
[1,3,4,7,2,5,6] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => 0
[1,3,4,7,2,6,5] => [1,3,4,2,6,5] => [1,2,3,4,5,6] => 0
[1,3,4,7,5,2,6] => [1,3,4,5,2,6] => [1,2,3,4,5,6] => 0
[1,3,4,7,5,6,2] => [1,3,4,5,6,2] => [1,2,3,4,5,6] => 0
[1,3,4,7,6,2,5] => [1,3,4,6,2,5] => [1,2,3,4,6,5] => 1
[1,3,4,7,6,5,2] => [1,3,4,6,5,2] => [1,2,3,4,6,5] => 1
[1,3,5,2,4,6,7] => [1,3,5,2,4,6] => [1,2,3,5,4,6] => 1
[1,3,5,2,4,7,6] => [1,3,5,2,4,6] => [1,2,3,5,4,6] => 1
[1,3,5,2,6,4,7] => [1,3,5,2,6,4] => [1,2,3,5,6,4] => 1
[1,3,5,2,6,7,4] => [1,3,5,2,6,4] => [1,2,3,5,6,4] => 1
[1,3,5,2,7,4,6] => [1,3,5,2,4,6] => [1,2,3,5,4,6] => 1
[1,3,5,2,7,6,4] => [1,3,5,2,6,4] => [1,2,3,5,6,4] => 1
[1,3,5,4,2,6,7] => [1,3,5,4,2,6] => [1,2,3,5,4,6] => 1
[1,3,5,4,2,7,6] => [1,3,5,4,2,6] => [1,2,3,5,4,6] => 1
[1,3,5,4,6,2,7] => [1,3,5,4,6,2] => [1,2,3,5,6,4] => 1
[1,3,5,4,6,7,2] => [1,3,5,4,6,2] => [1,2,3,5,6,4] => 1
[1,3,5,4,7,2,6] => [1,3,5,4,2,6] => [1,2,3,5,4,6] => 1
[1,3,5,4,7,6,2] => [1,3,5,4,6,2] => [1,2,3,5,6,4] => 1
[1,3,5,6,2,4,7] => [1,3,5,6,2,4] => [1,2,3,5,4,6] => 1
[1,3,5,6,2,7,4] => [1,3,5,6,2,4] => [1,2,3,5,4,6] => 1
[1,3,5,6,4,2,7] => [1,3,5,6,4,2] => [1,2,3,5,4,6] => 1
[1,3,5,6,4,7,2] => [1,3,5,6,4,2] => [1,2,3,5,4,6] => 1
[1,3,5,6,7,2,4] => [1,3,5,6,2,4] => [1,2,3,5,4,6] => 1
[1,3,5,6,7,4,2] => [1,3,5,6,4,2] => [1,2,3,5,4,6] => 1
[1,3,5,7,2,4,6] => [1,3,5,2,4,6] => [1,2,3,5,4,6] => 1
[1,3,5,7,2,6,4] => [1,3,5,2,6,4] => [1,2,3,5,6,4] => 1
[1,3,5,7,4,2,6] => [1,3,5,4,2,6] => [1,2,3,5,4,6] => 1
[1,3,5,7,4,6,2] => [1,3,5,4,6,2] => [1,2,3,5,6,4] => 1
[1,3,5,7,6,2,4] => [1,3,5,6,2,4] => [1,2,3,5,4,6] => 1
[1,3,5,7,6,4,2] => [1,3,5,6,4,2] => [1,2,3,5,4,6] => 1
[1,3,6,2,4,5,7] => [1,3,6,2,4,5] => [1,2,3,6,5,4] => 1
[1,3,6,2,4,7,5] => [1,3,6,2,4,5] => [1,2,3,6,5,4] => 1
[1,3,6,2,5,4,7] => [1,3,6,2,5,4] => [1,2,3,6,4,5] => 1
[1,3,6,2,5,7,4] => [1,3,6,2,5,4] => [1,2,3,6,4,5] => 1
[1,3,6,2,7,4,5] => [1,3,6,2,4,5] => [1,2,3,6,5,4] => 1
[1,3,6,2,7,5,4] => [1,3,6,2,5,4] => [1,2,3,6,4,5] => 1
[1,3,6,4,2,5,7] => [1,3,6,4,2,5] => [1,2,3,6,5,4] => 1
[1,3,6,4,2,7,5] => [1,3,6,4,2,5] => [1,2,3,6,5,4] => 1
[1,3,6,4,5,2,7] => [1,3,6,4,5,2] => [1,2,3,6,4,5] => 1
[1,3,6,4,5,7,2] => [1,3,6,4,5,2] => [1,2,3,6,4,5] => 1
[1,3,6,4,7,2,5] => [1,3,6,4,2,5] => [1,2,3,6,5,4] => 1
[1,3,6,4,7,5,2] => [1,3,6,4,5,2] => [1,2,3,6,4,5] => 1
[1,3,6,5,2,4,7] => [1,3,6,5,2,4] => [1,2,3,6,4,5] => 1
[1,3,6,5,2,7,4] => [1,3,6,5,2,4] => [1,2,3,6,4,5] => 1
[1,3,6,5,4,2,7] => [1,3,6,5,4,2] => [1,2,3,6,4,5] => 1
[1,3,6,5,4,7,2] => [1,3,6,5,4,2] => [1,2,3,6,4,5] => 1
[1,3,6,5,7,2,4] => [1,3,6,5,2,4] => [1,2,3,6,4,5] => 1
[1,3,6,5,7,4,2] => [1,3,6,5,4,2] => [1,2,3,6,4,5] => 1
[1,3,6,7,2,4,5] => [1,3,6,2,4,5] => [1,2,3,6,5,4] => 1
[1,3,6,7,2,5,4] => [1,3,6,2,5,4] => [1,2,3,6,4,5] => 1
[1,3,6,7,4,2,5] => [1,3,6,4,2,5] => [1,2,3,6,5,4] => 1
[1,3,6,7,4,5,2] => [1,3,6,4,5,2] => [1,2,3,6,4,5] => 1
[1,3,6,7,5,2,4] => [1,3,6,5,2,4] => [1,2,3,6,4,5] => 1
[1,3,6,7,5,4,2] => [1,3,6,5,4,2] => [1,2,3,6,4,5] => 1
[1,3,7,2,4,5,6] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[1,3,7,2,4,6,5] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[1,3,7,2,5,4,6] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => 0
[1,3,7,2,5,6,4] => [1,3,2,5,6,4] => [1,2,3,4,5,6] => 0
[1,3,7,2,6,4,5] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[1,3,7,2,6,5,4] => [1,3,2,6,5,4] => [1,2,3,4,6,5] => 1
[1,3,7,4,2,5,6] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => 0
[1,3,7,4,2,6,5] => [1,3,4,2,6,5] => [1,2,3,4,5,6] => 0
[1,3,7,4,5,2,6] => [1,3,4,5,2,6] => [1,2,3,4,5,6] => 0
[1,3,7,4,5,6,2] => [1,3,4,5,6,2] => [1,2,3,4,5,6] => 0
[1,3,7,4,6,2,5] => [1,3,4,6,2,5] => [1,2,3,4,6,5] => 1
[1,3,7,4,6,5,2] => [1,3,4,6,5,2] => [1,2,3,4,6,5] => 1
[1,3,7,5,2,4,6] => [1,3,5,2,4,6] => [1,2,3,5,4,6] => 1
[1,3,7,5,2,6,4] => [1,3,5,2,6,4] => [1,2,3,5,6,4] => 1
[1,3,7,5,4,2,6] => [1,3,5,4,2,6] => [1,2,3,5,4,6] => 1
[1,3,7,5,4,6,2] => [1,3,5,4,6,2] => [1,2,3,5,6,4] => 1
[1,3,7,5,6,2,4] => [1,3,5,6,2,4] => [1,2,3,5,4,6] => 1
[1,3,7,5,6,4,2] => [1,3,5,6,4,2] => [1,2,3,5,4,6] => 1
[1,3,7,6,2,4,5] => [1,3,6,2,4,5] => [1,2,3,6,5,4] => 1
[1,3,7,6,2,5,4] => [1,3,6,2,5,4] => [1,2,3,6,4,5] => 1
[1,3,7,6,4,2,5] => [1,3,6,4,2,5] => [1,2,3,6,5,4] => 1
[1,3,7,6,4,5,2] => [1,3,6,4,5,2] => [1,2,3,6,4,5] => 1
[1,3,7,6,5,2,4] => [1,3,6,5,2,4] => [1,2,3,6,4,5] => 1
[1,3,7,6,5,4,2] => [1,3,6,5,4,2] => [1,2,3,6,4,5] => 1
[1,4,2,3,5,6,7] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[1,4,2,3,5,7,6] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[1,4,2,3,6,5,7] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[1,4,2,3,6,7,5] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[1,4,2,3,7,5,6] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[1,4,2,3,7,6,5] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[1,4,2,5,3,6,7] => [1,4,2,5,3,6] => [1,2,4,5,3,6] => 1
[1,4,2,5,3,7,6] => [1,4,2,5,3,6] => [1,2,4,5,3,6] => 1
[1,4,2,5,6,3,7] => [1,4,2,5,6,3] => [1,2,4,5,6,3] => 1
[1,4,2,5,6,7,3] => [1,4,2,5,6,3] => [1,2,4,5,6,3] => 1
[1,4,2,5,7,3,6] => [1,4,2,5,3,6] => [1,2,4,5,3,6] => 1
[1,4,2,5,7,6,3] => [1,4,2,5,6,3] => [1,2,4,5,6,3] => 1
[1,4,2,6,3,5,7] => [1,4,2,6,3,5] => [1,2,4,6,5,3] => 1
[1,4,2,6,3,7,5] => [1,4,2,6,3,5] => [1,2,4,6,5,3] => 1
[1,4,2,6,5,3,7] => [1,4,2,6,5,3] => [1,2,4,6,3,5] => 1
[1,4,2,6,5,7,3] => [1,4,2,6,5,3] => [1,2,4,6,3,5] => 1
[1,4,2,6,7,3,5] => [1,4,2,6,3,5] => [1,2,4,6,5,3] => 1
[1,4,2,6,7,5,3] => [1,4,2,6,5,3] => [1,2,4,6,3,5] => 1
[1,4,2,7,3,5,6] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[1,4,2,7,3,6,5] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[1,4,2,7,5,3,6] => [1,4,2,5,3,6] => [1,2,4,5,3,6] => 1
[1,4,2,7,5,6,3] => [1,4,2,5,6,3] => [1,2,4,5,6,3] => 1
[1,4,2,7,6,3,5] => [1,4,2,6,3,5] => [1,2,4,6,5,3] => 1
[1,4,2,7,6,5,3] => [1,4,2,6,5,3] => [1,2,4,6,3,5] => 1
[1,4,3,2,5,6,7] => [1,4,3,2,5,6] => [1,2,4,3,5,6] => 1
[1,4,3,2,5,7,6] => [1,4,3,2,5,6] => [1,2,4,3,5,6] => 1
[1,4,3,2,6,5,7] => [1,4,3,2,6,5] => [1,2,4,3,5,6] => 1
[1,4,3,2,6,7,5] => [1,4,3,2,6,5] => [1,2,4,3,5,6] => 1
[1,4,3,2,7,5,6] => [1,4,3,2,5,6] => [1,2,4,3,5,6] => 1
[1,4,3,2,7,6,5] => [1,4,3,2,6,5] => [1,2,4,3,5,6] => 1
[1,4,3,5,2,6,7] => [1,4,3,5,2,6] => [1,2,4,5,3,6] => 1
[1,4,3,5,2,7,6] => [1,4,3,5,2,6] => [1,2,4,5,3,6] => 1
[1,4,3,5,6,2,7] => [1,4,3,5,6,2] => [1,2,4,5,6,3] => 1
[1,4,3,5,6,7,2] => [1,4,3,5,6,2] => [1,2,4,5,6,3] => 1
[1,4,3,5,7,2,6] => [1,4,3,5,2,6] => [1,2,4,5,3,6] => 1
[1,4,3,5,7,6,2] => [1,4,3,5,6,2] => [1,2,4,5,6,3] => 1
[1,4,3,6,2,5,7] => [1,4,3,6,2,5] => [1,2,4,6,5,3] => 1
[1,4,3,6,2,7,5] => [1,4,3,6,2,5] => [1,2,4,6,5,3] => 1
[1,4,3,6,5,2,7] => [1,4,3,6,5,2] => [1,2,4,6,3,5] => 1
[1,4,3,6,5,7,2] => [1,4,3,6,5,2] => [1,2,4,6,3,5] => 1
[1,4,3,6,7,2,5] => [1,4,3,6,2,5] => [1,2,4,6,5,3] => 1
[1,4,3,6,7,5,2] => [1,4,3,6,5,2] => [1,2,4,6,3,5] => 1
[1,4,3,7,2,5,6] => [1,4,3,2,5,6] => [1,2,4,3,5,6] => 1
[1,4,3,7,2,6,5] => [1,4,3,2,6,5] => [1,2,4,3,5,6] => 1
[1,4,3,7,5,2,6] => [1,4,3,5,2,6] => [1,2,4,5,3,6] => 1
[1,4,3,7,5,6,2] => [1,4,3,5,6,2] => [1,2,4,5,6,3] => 1
[1,4,3,7,6,2,5] => [1,4,3,6,2,5] => [1,2,4,6,5,3] => 1
[1,4,3,7,6,5,2] => [1,4,3,6,5,2] => [1,2,4,6,3,5] => 1
[1,4,5,2,3,6,7] => [1,4,5,2,3,6] => [1,2,4,3,5,6] => 1
[1,4,5,2,3,7,6] => [1,4,5,2,3,6] => [1,2,4,3,5,6] => 1
[1,4,5,2,6,3,7] => [1,4,5,2,6,3] => [1,2,4,3,5,6] => 1
[1,4,5,2,6,7,3] => [1,4,5,2,6,3] => [1,2,4,3,5,6] => 1
[1,4,5,2,7,3,6] => [1,4,5,2,3,6] => [1,2,4,3,5,6] => 1
[1,4,5,2,7,6,3] => [1,4,5,2,6,3] => [1,2,4,3,5,6] => 1
[1,4,5,3,2,6,7] => [1,4,5,3,2,6] => [1,2,4,3,5,6] => 1
[1,4,5,3,2,7,6] => [1,4,5,3,2,6] => [1,2,4,3,5,6] => 1
[1,4,5,3,6,2,7] => [1,4,5,3,6,2] => [1,2,4,3,5,6] => 1
[1,4,5,3,6,7,2] => [1,4,5,3,6,2] => [1,2,4,3,5,6] => 1
[1,4,5,3,7,2,6] => [1,4,5,3,2,6] => [1,2,4,3,5,6] => 1
[1,4,5,3,7,6,2] => [1,4,5,3,6,2] => [1,2,4,3,5,6] => 1
[1,4,5,6,2,3,7] => [1,4,5,6,2,3] => [1,2,4,6,3,5] => 1
[1,4,5,6,2,7,3] => [1,4,5,6,2,3] => [1,2,4,6,3,5] => 1
[1,4,5,6,3,2,7] => [1,4,5,6,3,2] => [1,2,4,6,3,5] => 1
[1,4,5,6,3,7,2] => [1,4,5,6,3,2] => [1,2,4,6,3,5] => 1
[1,4,5,6,7,2,3] => [1,4,5,6,2,3] => [1,2,4,6,3,5] => 1
[1,4,5,6,7,3,2] => [1,4,5,6,3,2] => [1,2,4,6,3,5] => 1
[1,4,5,7,2,3,6] => [1,4,5,2,3,6] => [1,2,4,3,5,6] => 1
[1,4,5,7,2,6,3] => [1,4,5,2,6,3] => [1,2,4,3,5,6] => 1
[1,4,5,7,3,2,6] => [1,4,5,3,2,6] => [1,2,4,3,5,6] => 1
[1,4,5,7,3,6,2] => [1,4,5,3,6,2] => [1,2,4,3,5,6] => 1
[1,4,5,7,6,2,3] => [1,4,5,6,2,3] => [1,2,4,6,3,5] => 1
[1,4,5,7,6,3,2] => [1,4,5,6,3,2] => [1,2,4,6,3,5] => 1
[1,4,6,2,3,5,7] => [1,4,6,2,3,5] => [1,2,4,3,6,5] => 2
[1,4,6,2,3,7,5] => [1,4,6,2,3,5] => [1,2,4,3,6,5] => 2
[1,4,6,2,5,3,7] => [1,4,6,2,5,3] => [1,2,4,3,6,5] => 2
[1,4,6,2,5,7,3] => [1,4,6,2,5,3] => [1,2,4,3,6,5] => 2
[1,4,6,2,7,3,5] => [1,4,6,2,3,5] => [1,2,4,3,6,5] => 2
[1,4,6,2,7,5,3] => [1,4,6,2,5,3] => [1,2,4,3,6,5] => 2
[1,4,6,3,2,5,7] => [1,4,6,3,2,5] => [1,2,4,3,6,5] => 2
[1,4,6,3,2,7,5] => [1,4,6,3,2,5] => [1,2,4,3,6,5] => 2
[1,4,6,3,5,2,7] => [1,4,6,3,5,2] => [1,2,4,3,6,5] => 2
[1,4,6,3,5,7,2] => [1,4,6,3,5,2] => [1,2,4,3,6,5] => 2
[1,4,6,3,7,2,5] => [1,4,6,3,2,5] => [1,2,4,3,6,5] => 2
[1,4,6,3,7,5,2] => [1,4,6,3,5,2] => [1,2,4,3,6,5] => 2
[1,4,6,5,2,3,7] => [1,4,6,5,2,3] => [1,2,4,5,3,6] => 1
[1,4,6,5,2,7,3] => [1,4,6,5,2,3] => [1,2,4,5,3,6] => 1
[1,4,6,5,3,2,7] => [1,4,6,5,3,2] => [1,2,4,5,3,6] => 1
[1,4,6,5,3,7,2] => [1,4,6,5,3,2] => [1,2,4,5,3,6] => 1
[1,4,6,5,7,2,3] => [1,4,6,5,2,3] => [1,2,4,5,3,6] => 1
[1,4,6,5,7,3,2] => [1,4,6,5,3,2] => [1,2,4,5,3,6] => 1
[1,4,6,7,2,3,5] => [1,4,6,2,3,5] => [1,2,4,3,6,5] => 2
[1,4,6,7,2,5,3] => [1,4,6,2,5,3] => [1,2,4,3,6,5] => 2
[1,4,6,7,3,2,5] => [1,4,6,3,2,5] => [1,2,4,3,6,5] => 2
[1,4,6,7,3,5,2] => [1,4,6,3,5,2] => [1,2,4,3,6,5] => 2
[1,4,6,7,5,2,3] => [1,4,6,5,2,3] => [1,2,4,5,3,6] => 1
[1,4,6,7,5,3,2] => [1,4,6,5,3,2] => [1,2,4,5,3,6] => 1
[1,4,7,2,3,5,6] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[1,4,7,2,3,6,5] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[1,4,7,2,5,3,6] => [1,4,2,5,3,6] => [1,2,4,5,3,6] => 1
[1,4,7,2,5,6,3] => [1,4,2,5,6,3] => [1,2,4,5,6,3] => 1
[1,4,7,2,6,3,5] => [1,4,2,6,3,5] => [1,2,4,6,5,3] => 1
[1,4,7,2,6,5,3] => [1,4,2,6,5,3] => [1,2,4,6,3,5] => 1
[1,4,7,3,2,5,6] => [1,4,3,2,5,6] => [1,2,4,3,5,6] => 1
[1,4,7,3,2,6,5] => [1,4,3,2,6,5] => [1,2,4,3,5,6] => 1
[1,4,7,3,5,2,6] => [1,4,3,5,2,6] => [1,2,4,5,3,6] => 1
[1,4,7,3,5,6,2] => [1,4,3,5,6,2] => [1,2,4,5,6,3] => 1
[1,4,7,3,6,2,5] => [1,4,3,6,2,5] => [1,2,4,6,5,3] => 1
[1,4,7,3,6,5,2] => [1,4,3,6,5,2] => [1,2,4,6,3,5] => 1
[1,4,7,5,2,3,6] => [1,4,5,2,3,6] => [1,2,4,3,5,6] => 1
[1,4,7,5,2,6,3] => [1,4,5,2,6,3] => [1,2,4,3,5,6] => 1
[1,4,7,5,3,2,6] => [1,4,5,3,2,6] => [1,2,4,3,5,6] => 1
[1,4,7,5,3,6,2] => [1,4,5,3,6,2] => [1,2,4,3,5,6] => 1
[1,4,7,5,6,2,3] => [1,4,5,6,2,3] => [1,2,4,6,3,5] => 1
[1,4,7,5,6,3,2] => [1,4,5,6,3,2] => [1,2,4,6,3,5] => 1
[1,4,7,6,2,3,5] => [1,4,6,2,3,5] => [1,2,4,3,6,5] => 2
[1,4,7,6,2,5,3] => [1,4,6,2,5,3] => [1,2,4,3,6,5] => 2
[1,4,7,6,3,2,5] => [1,4,6,3,2,5] => [1,2,4,3,6,5] => 2
[1,4,7,6,3,5,2] => [1,4,6,3,5,2] => [1,2,4,3,6,5] => 2
[1,4,7,6,5,2,3] => [1,4,6,5,2,3] => [1,2,4,5,3,6] => 1
[1,4,7,6,5,3,2] => [1,4,6,5,3,2] => [1,2,4,5,3,6] => 1
[1,5,2,3,4,6,7] => [1,5,2,3,4,6] => [1,2,5,4,3,6] => 1
[1,5,2,3,4,7,6] => [1,5,2,3,4,6] => [1,2,5,4,3,6] => 1
[1,5,2,3,6,4,7] => [1,5,2,3,6,4] => [1,2,5,6,4,3] => 1
[1,5,2,3,6,7,4] => [1,5,2,3,6,4] => [1,2,5,6,4,3] => 1
[1,5,2,3,7,4,6] => [1,5,2,3,4,6] => [1,2,5,4,3,6] => 1
[1,5,2,3,7,6,4] => [1,5,2,3,6,4] => [1,2,5,6,4,3] => 1
[1,5,2,4,3,6,7] => [1,5,2,4,3,6] => [1,2,5,3,4,6] => 1
[1,5,2,4,3,7,6] => [1,5,2,4,3,6] => [1,2,5,3,4,6] => 1
[1,5,2,4,6,3,7] => [1,5,2,4,6,3] => [1,2,5,6,3,4] => 1
[1,5,2,4,6,7,3] => [1,5,2,4,6,3] => [1,2,5,6,3,4] => 1
[1,5,2,4,7,3,6] => [1,5,2,4,3,6] => [1,2,5,3,4,6] => 1
[1,5,2,4,7,6,3] => [1,5,2,4,6,3] => [1,2,5,6,3,4] => 1
[1,5,2,6,3,4,7] => [1,5,2,6,3,4] => [1,2,5,3,4,6] => 1
[1,5,2,6,3,7,4] => [1,5,2,6,3,4] => [1,2,5,3,4,6] => 1
[1,5,2,6,4,3,7] => [1,5,2,6,4,3] => [1,2,5,4,6,3] => 2
[1,5,2,6,4,7,3] => [1,5,2,6,4,3] => [1,2,5,4,6,3] => 2
[1,5,2,6,7,3,4] => [1,5,2,6,3,4] => [1,2,5,3,4,6] => 1
[1,5,2,6,7,4,3] => [1,5,2,6,4,3] => [1,2,5,4,6,3] => 2
[1,5,2,7,3,4,6] => [1,5,2,3,4,6] => [1,2,5,4,3,6] => 1
[1,5,2,7,3,6,4] => [1,5,2,3,6,4] => [1,2,5,6,4,3] => 1
[1,5,2,7,4,3,6] => [1,5,2,4,3,6] => [1,2,5,3,4,6] => 1
[1,5,2,7,4,6,3] => [1,5,2,4,6,3] => [1,2,5,6,3,4] => 1
[1,5,2,7,6,3,4] => [1,5,2,6,3,4] => [1,2,5,3,4,6] => 1
[1,5,2,7,6,4,3] => [1,5,2,6,4,3] => [1,2,5,4,6,3] => 2
[1,5,3,2,4,6,7] => [1,5,3,2,4,6] => [1,2,5,4,3,6] => 1
[1,5,3,2,4,7,6] => [1,5,3,2,4,6] => [1,2,5,4,3,6] => 1
[1,5,3,2,6,4,7] => [1,5,3,2,6,4] => [1,2,5,6,4,3] => 1
[1,5,3,2,6,7,4] => [1,5,3,2,6,4] => [1,2,5,6,4,3] => 1
[1,5,3,2,7,4,6] => [1,5,3,2,4,6] => [1,2,5,4,3,6] => 1
[1,5,3,2,7,6,4] => [1,5,3,2,6,4] => [1,2,5,6,4,3] => 1
[1,5,3,4,2,6,7] => [1,5,3,4,2,6] => [1,2,5,3,4,6] => 1
[1,5,3,4,2,7,6] => [1,5,3,4,2,6] => [1,2,5,3,4,6] => 1
[1,5,3,4,6,2,7] => [1,5,3,4,6,2] => [1,2,5,6,3,4] => 1
[1,5,3,4,6,7,2] => [1,5,3,4,6,2] => [1,2,5,6,3,4] => 1
[1,5,3,4,7,2,6] => [1,5,3,4,2,6] => [1,2,5,3,4,6] => 1
[1,5,3,4,7,6,2] => [1,5,3,4,6,2] => [1,2,5,6,3,4] => 1
[1,5,3,6,2,4,7] => [1,5,3,6,2,4] => [1,2,5,3,4,6] => 1
[1,5,3,6,2,7,4] => [1,5,3,6,2,4] => [1,2,5,3,4,6] => 1
[1,5,3,6,4,2,7] => [1,5,3,6,4,2] => [1,2,5,4,6,3] => 2
[1,5,3,6,4,7,2] => [1,5,3,6,4,2] => [1,2,5,4,6,3] => 2
[1,5,3,6,7,2,4] => [1,5,3,6,2,4] => [1,2,5,3,4,6] => 1
[1,5,3,6,7,4,2] => [1,5,3,6,4,2] => [1,2,5,4,6,3] => 2
[1,5,3,7,2,4,6] => [1,5,3,2,4,6] => [1,2,5,4,3,6] => 1
[1,5,3,7,2,6,4] => [1,5,3,2,6,4] => [1,2,5,6,4,3] => 1
[1,5,3,7,4,2,6] => [1,5,3,4,2,6] => [1,2,5,3,4,6] => 1
[1,5,3,7,4,6,2] => [1,5,3,4,6,2] => [1,2,5,6,3,4] => 1
[1,5,3,7,6,2,4] => [1,5,3,6,2,4] => [1,2,5,3,4,6] => 1
[1,5,3,7,6,4,2] => [1,5,3,6,4,2] => [1,2,5,4,6,3] => 2
[1,5,4,2,3,6,7] => [1,5,4,2,3,6] => [1,2,5,3,4,6] => 1
[1,5,4,2,3,7,6] => [1,5,4,2,3,6] => [1,2,5,3,4,6] => 1
[1,5,4,2,6,3,7] => [1,5,4,2,6,3] => [1,2,5,6,3,4] => 1
[1,5,4,2,6,7,3] => [1,5,4,2,6,3] => [1,2,5,6,3,4] => 1
[1,5,4,2,7,3,6] => [1,5,4,2,3,6] => [1,2,5,3,4,6] => 1
[1,5,4,2,7,6,3] => [1,5,4,2,6,3] => [1,2,5,6,3,4] => 1
[1,5,4,3,2,6,7] => [1,5,4,3,2,6] => [1,2,5,3,4,6] => 1
[1,5,4,3,2,7,6] => [1,5,4,3,2,6] => [1,2,5,3,4,6] => 1
[1,5,4,3,6,2,7] => [1,5,4,3,6,2] => [1,2,5,6,3,4] => 1
[1,5,4,3,6,7,2] => [1,5,4,3,6,2] => [1,2,5,6,3,4] => 1
[1,5,4,3,7,2,6] => [1,5,4,3,2,6] => [1,2,5,3,4,6] => 1
[1,5,4,3,7,6,2] => [1,5,4,3,6,2] => [1,2,5,6,3,4] => 1
[1,5,4,6,2,3,7] => [1,5,4,6,2,3] => [1,2,5,3,4,6] => 1
[1,5,4,6,2,7,3] => [1,5,4,6,2,3] => [1,2,5,3,4,6] => 1
[1,5,4,6,3,2,7] => [1,5,4,6,3,2] => [1,2,5,3,4,6] => 1
[1,5,4,6,3,7,2] => [1,5,4,6,3,2] => [1,2,5,3,4,6] => 1
[1,5,4,6,7,2,3] => [1,5,4,6,2,3] => [1,2,5,3,4,6] => 1
[1,5,4,6,7,3,2] => [1,5,4,6,3,2] => [1,2,5,3,4,6] => 1
[1,5,4,7,2,3,6] => [1,5,4,2,3,6] => [1,2,5,3,4,6] => 1
[1,5,4,7,2,6,3] => [1,5,4,2,6,3] => [1,2,5,6,3,4] => 1
[1,5,4,7,3,2,6] => [1,5,4,3,2,6] => [1,2,5,3,4,6] => 1
[1,5,4,7,3,6,2] => [1,5,4,3,6,2] => [1,2,5,6,3,4] => 1
[1,5,4,7,6,2,3] => [1,5,4,6,2,3] => [1,2,5,3,4,6] => 1
[1,5,4,7,6,3,2] => [1,5,4,6,3,2] => [1,2,5,3,4,6] => 1
[1,5,6,2,3,4,7] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => 2
[1,5,6,2,3,7,4] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => 2
[1,5,6,2,4,3,7] => [1,5,6,2,4,3] => [1,2,5,4,3,6] => 1
[1,5,6,2,4,7,3] => [1,5,6,2,4,3] => [1,2,5,4,3,6] => 1
[1,5,6,2,7,3,4] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => 2
[1,5,6,2,7,4,3] => [1,5,6,2,4,3] => [1,2,5,4,3,6] => 1
[1,5,6,3,2,4,7] => [1,5,6,3,2,4] => [1,2,5,3,6,4] => 2
[1,5,6,3,2,7,4] => [1,5,6,3,2,4] => [1,2,5,3,6,4] => 2
[1,5,6,3,4,2,7] => [1,5,6,3,4,2] => [1,2,5,4,3,6] => 1
[1,5,6,3,4,7,2] => [1,5,6,3,4,2] => [1,2,5,4,3,6] => 1
[1,5,6,3,7,2,4] => [1,5,6,3,2,4] => [1,2,5,3,6,4] => 2
[1,5,6,3,7,4,2] => [1,5,6,3,4,2] => [1,2,5,4,3,6] => 1
[1,5,6,4,2,3,7] => [1,5,6,4,2,3] => [1,2,5,3,6,4] => 2
[1,5,6,4,2,7,3] => [1,5,6,4,2,3] => [1,2,5,3,6,4] => 2
[1,5,6,4,3,2,7] => [1,5,6,4,3,2] => [1,2,5,3,6,4] => 2
[1,5,6,4,3,7,2] => [1,5,6,4,3,2] => [1,2,5,3,6,4] => 2
[1,5,6,4,7,2,3] => [1,5,6,4,2,3] => [1,2,5,3,6,4] => 2
[1,5,6,4,7,3,2] => [1,5,6,4,3,2] => [1,2,5,3,6,4] => 2
[1,5,6,7,2,3,4] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => 2
[1,5,6,7,2,4,3] => [1,5,6,2,4,3] => [1,2,5,4,3,6] => 1
[1,5,6,7,3,2,4] => [1,5,6,3,2,4] => [1,2,5,3,6,4] => 2
[1,5,6,7,3,4,2] => [1,5,6,3,4,2] => [1,2,5,4,3,6] => 1
[1,5,6,7,4,2,3] => [1,5,6,4,2,3] => [1,2,5,3,6,4] => 2
[1,5,6,7,4,3,2] => [1,5,6,4,3,2] => [1,2,5,3,6,4] => 2
[1,5,7,2,3,4,6] => [1,5,2,3,4,6] => [1,2,5,4,3,6] => 1
[1,5,7,2,3,6,4] => [1,5,2,3,6,4] => [1,2,5,6,4,3] => 1
[1,5,7,2,4,3,6] => [1,5,2,4,3,6] => [1,2,5,3,4,6] => 1
[1,5,7,2,4,6,3] => [1,5,2,4,6,3] => [1,2,5,6,3,4] => 1
[1,5,7,2,6,3,4] => [1,5,2,6,3,4] => [1,2,5,3,4,6] => 1
[1,5,7,2,6,4,3] => [1,5,2,6,4,3] => [1,2,5,4,6,3] => 2
[1,5,7,3,2,4,6] => [1,5,3,2,4,6] => [1,2,5,4,3,6] => 1
[1,5,7,3,2,6,4] => [1,5,3,2,6,4] => [1,2,5,6,4,3] => 1
[1,5,7,3,4,2,6] => [1,5,3,4,2,6] => [1,2,5,3,4,6] => 1
[1,5,7,3,4,6,2] => [1,5,3,4,6,2] => [1,2,5,6,3,4] => 1
[1,5,7,3,6,2,4] => [1,5,3,6,2,4] => [1,2,5,3,4,6] => 1
[1,5,7,3,6,4,2] => [1,5,3,6,4,2] => [1,2,5,4,6,3] => 2
[1,5,7,4,2,3,6] => [1,5,4,2,3,6] => [1,2,5,3,4,6] => 1
[1,5,7,4,2,6,3] => [1,5,4,2,6,3] => [1,2,5,6,3,4] => 1
[1,5,7,4,3,2,6] => [1,5,4,3,2,6] => [1,2,5,3,4,6] => 1
[1,5,7,4,3,6,2] => [1,5,4,3,6,2] => [1,2,5,6,3,4] => 1
[1,5,7,4,6,2,3] => [1,5,4,6,2,3] => [1,2,5,3,4,6] => 1
[1,5,7,4,6,3,2] => [1,5,4,6,3,2] => [1,2,5,3,4,6] => 1
[1,5,7,6,2,3,4] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => 2
[1,5,7,6,2,4,3] => [1,5,6,2,4,3] => [1,2,5,4,3,6] => 1
[1,5,7,6,3,2,4] => [1,5,6,3,2,4] => [1,2,5,3,6,4] => 2
[1,5,7,6,3,4,2] => [1,5,6,3,4,2] => [1,2,5,4,3,6] => 1
[1,5,7,6,4,2,3] => [1,5,6,4,2,3] => [1,2,5,3,6,4] => 2
[1,5,7,6,4,3,2] => [1,5,6,4,3,2] => [1,2,5,3,6,4] => 2
[1,6,2,3,4,5,7] => [1,6,2,3,4,5] => [1,2,6,5,4,3] => 1
[1,6,2,3,4,7,5] => [1,6,2,3,4,5] => [1,2,6,5,4,3] => 1
[1,6,2,3,5,4,7] => [1,6,2,3,5,4] => [1,2,6,4,3,5] => 1
[1,6,2,3,5,7,4] => [1,6,2,3,5,4] => [1,2,6,4,3,5] => 1
[1,6,2,3,7,4,5] => [1,6,2,3,4,5] => [1,2,6,5,4,3] => 1
[1,6,2,3,7,5,4] => [1,6,2,3,5,4] => [1,2,6,4,3,5] => 1
[1,6,2,4,3,5,7] => [1,6,2,4,3,5] => [1,2,6,5,3,4] => 1
[1,6,2,4,3,7,5] => [1,6,2,4,3,5] => [1,2,6,5,3,4] => 1
[1,6,2,4,5,3,7] => [1,6,2,4,5,3] => [1,2,6,3,4,5] => 1
[1,6,2,4,5,7,3] => [1,6,2,4,5,3] => [1,2,6,3,4,5] => 1
[1,6,2,4,7,3,5] => [1,6,2,4,3,5] => [1,2,6,5,3,4] => 1
[1,6,2,4,7,5,3] => [1,6,2,4,5,3] => [1,2,6,3,4,5] => 1
[1,6,2,5,3,4,7] => [1,6,2,5,3,4] => [1,2,6,4,5,3] => 2
[1,6,2,5,3,7,4] => [1,6,2,5,3,4] => [1,2,6,4,5,3] => 2
[1,6,2,5,4,3,7] => [1,6,2,5,4,3] => [1,2,6,3,4,5] => 1
[1,6,2,5,4,7,3] => [1,6,2,5,4,3] => [1,2,6,3,4,5] => 1
[1,6,2,5,7,3,4] => [1,6,2,5,3,4] => [1,2,6,4,5,3] => 2
[1,6,2,5,7,4,3] => [1,6,2,5,4,3] => [1,2,6,3,4,5] => 1
[1,6,2,7,3,4,5] => [1,6,2,3,4,5] => [1,2,6,5,4,3] => 1
[1,6,2,7,3,5,4] => [1,6,2,3,5,4] => [1,2,6,4,3,5] => 1
[1,6,2,7,4,3,5] => [1,6,2,4,3,5] => [1,2,6,5,3,4] => 1
[1,6,2,7,4,5,3] => [1,6,2,4,5,3] => [1,2,6,3,4,5] => 1
[1,6,2,7,5,3,4] => [1,6,2,5,3,4] => [1,2,6,4,5,3] => 2
[1,6,2,7,5,4,3] => [1,6,2,5,4,3] => [1,2,6,3,4,5] => 1
[1,6,3,2,4,5,7] => [1,6,3,2,4,5] => [1,2,6,5,4,3] => 1
[1,6,3,2,4,7,5] => [1,6,3,2,4,5] => [1,2,6,5,4,3] => 1
[1,6,3,2,5,4,7] => [1,6,3,2,5,4] => [1,2,6,4,3,5] => 1
[1,6,3,2,5,7,4] => [1,6,3,2,5,4] => [1,2,6,4,3,5] => 1
[1,6,3,2,7,4,5] => [1,6,3,2,4,5] => [1,2,6,5,4,3] => 1
[1,6,3,2,7,5,4] => [1,6,3,2,5,4] => [1,2,6,4,3,5] => 1
[1,6,3,4,2,5,7] => [1,6,3,4,2,5] => [1,2,6,5,3,4] => 1
[1,6,3,4,2,7,5] => [1,6,3,4,2,5] => [1,2,6,5,3,4] => 1
[1,6,3,4,5,2,7] => [1,6,3,4,5,2] => [1,2,6,3,4,5] => 1
[1,6,3,4,5,7,2] => [1,6,3,4,5,2] => [1,2,6,3,4,5] => 1
[1,6,3,4,7,2,5] => [1,6,3,4,2,5] => [1,2,6,5,3,4] => 1
[1,6,3,4,7,5,2] => [1,6,3,4,5,2] => [1,2,6,3,4,5] => 1
[1,6,3,5,2,4,7] => [1,6,3,5,2,4] => [1,2,6,4,5,3] => 2
[1,6,3,5,2,7,4] => [1,6,3,5,2,4] => [1,2,6,4,5,3] => 2
[1,6,3,5,4,2,7] => [1,6,3,5,4,2] => [1,2,6,3,4,5] => 1
[1,6,3,5,4,7,2] => [1,6,3,5,4,2] => [1,2,6,3,4,5] => 1
[1,6,3,5,7,2,4] => [1,6,3,5,2,4] => [1,2,6,4,5,3] => 2
[1,6,3,5,7,4,2] => [1,6,3,5,4,2] => [1,2,6,3,4,5] => 1
[1,6,3,7,2,4,5] => [1,6,3,2,4,5] => [1,2,6,5,4,3] => 1
[1,6,3,7,2,5,4] => [1,6,3,2,5,4] => [1,2,6,4,3,5] => 1
[1,6,3,7,4,2,5] => [1,6,3,4,2,5] => [1,2,6,5,3,4] => 1
[1,6,3,7,4,5,2] => [1,6,3,4,5,2] => [1,2,6,3,4,5] => 1
[1,6,3,7,5,2,4] => [1,6,3,5,2,4] => [1,2,6,4,5,3] => 2
[1,6,3,7,5,4,2] => [1,6,3,5,4,2] => [1,2,6,3,4,5] => 1
[1,6,4,2,3,5,7] => [1,6,4,2,3,5] => [1,2,6,5,3,4] => 1
[1,6,4,2,3,7,5] => [1,6,4,2,3,5] => [1,2,6,5,3,4] => 1
[1,6,4,2,5,3,7] => [1,6,4,2,5,3] => [1,2,6,3,4,5] => 1
[1,6,4,2,5,7,3] => [1,6,4,2,5,3] => [1,2,6,3,4,5] => 1
[1,6,4,2,7,3,5] => [1,6,4,2,3,5] => [1,2,6,5,3,4] => 1
[1,6,4,2,7,5,3] => [1,6,4,2,5,3] => [1,2,6,3,4,5] => 1
[1,6,4,3,2,5,7] => [1,6,4,3,2,5] => [1,2,6,5,3,4] => 1
[1,6,4,3,2,7,5] => [1,6,4,3,2,5] => [1,2,6,5,3,4] => 1
[1,6,4,3,5,2,7] => [1,6,4,3,5,2] => [1,2,6,3,4,5] => 1
[1,6,4,3,5,7,2] => [1,6,4,3,5,2] => [1,2,6,3,4,5] => 1
[1,6,4,3,7,2,5] => [1,6,4,3,2,5] => [1,2,6,5,3,4] => 1
[1,6,4,3,7,5,2] => [1,6,4,3,5,2] => [1,2,6,3,4,5] => 1
[1,6,4,5,2,3,7] => [1,6,4,5,2,3] => [1,2,6,3,4,5] => 1
[1,6,4,5,2,7,3] => [1,6,4,5,2,3] => [1,2,6,3,4,5] => 1
[1,6,4,5,3,2,7] => [1,6,4,5,3,2] => [1,2,6,3,4,5] => 1
[1,6,4,5,3,7,2] => [1,6,4,5,3,2] => [1,2,6,3,4,5] => 1
[1,6,4,5,7,2,3] => [1,6,4,5,2,3] => [1,2,6,3,4,5] => 1
[1,6,4,5,7,3,2] => [1,6,4,5,3,2] => [1,2,6,3,4,5] => 1
[1,6,4,7,2,3,5] => [1,6,4,2,3,5] => [1,2,6,5,3,4] => 1
[1,6,4,7,2,5,3] => [1,6,4,2,5,3] => [1,2,6,3,4,5] => 1
[1,6,4,7,3,2,5] => [1,6,4,3,2,5] => [1,2,6,5,3,4] => 1
[1,6,4,7,3,5,2] => [1,6,4,3,5,2] => [1,2,6,3,4,5] => 1
[1,6,4,7,5,2,3] => [1,6,4,5,2,3] => [1,2,6,3,4,5] => 1
[1,6,4,7,5,3,2] => [1,6,4,5,3,2] => [1,2,6,3,4,5] => 1
[1,6,5,2,3,4,7] => [1,6,5,2,3,4] => [1,2,6,4,3,5] => 1
[1,6,5,2,3,7,4] => [1,6,5,2,3,4] => [1,2,6,4,3,5] => 1
[1,6,5,2,4,3,7] => [1,6,5,2,4,3] => [1,2,6,3,5,4] => 2
[1,6,5,2,4,7,3] => [1,6,5,2,4,3] => [1,2,6,3,5,4] => 2
[1,6,5,2,7,3,4] => [1,6,5,2,3,4] => [1,2,6,4,3,5] => 1
[1,6,5,2,7,4,3] => [1,6,5,2,4,3] => [1,2,6,3,5,4] => 2
[1,6,5,3,2,4,7] => [1,6,5,3,2,4] => [1,2,6,4,3,5] => 1
[1,6,5,3,2,7,4] => [1,6,5,3,2,4] => [1,2,6,4,3,5] => 1
[1,6,5,3,4,2,7] => [1,6,5,3,4,2] => [1,2,6,3,5,4] => 2
[1,6,5,3,4,7,2] => [1,6,5,3,4,2] => [1,2,6,3,5,4] => 2
[1,6,5,3,7,2,4] => [1,6,5,3,2,4] => [1,2,6,4,3,5] => 1
[1,6,5,3,7,4,2] => [1,6,5,3,4,2] => [1,2,6,3,5,4] => 2
[1,6,5,4,2,3,7] => [1,6,5,4,2,3] => [1,2,6,3,5,4] => 2
[1,6,5,4,2,7,3] => [1,6,5,4,2,3] => [1,2,6,3,5,4] => 2
[1,6,5,4,3,2,7] => [1,6,5,4,3,2] => [1,2,6,3,5,4] => 2
[1,6,5,4,3,7,2] => [1,6,5,4,3,2] => [1,2,6,3,5,4] => 2
[1,6,5,4,7,2,3] => [1,6,5,4,2,3] => [1,2,6,3,5,4] => 2
[1,6,5,4,7,3,2] => [1,6,5,4,3,2] => [1,2,6,3,5,4] => 2
[1,6,5,7,2,3,4] => [1,6,5,2,3,4] => [1,2,6,4,3,5] => 1
[1,6,5,7,2,4,3] => [1,6,5,2,4,3] => [1,2,6,3,5,4] => 2
[1,6,5,7,3,2,4] => [1,6,5,3,2,4] => [1,2,6,4,3,5] => 1
[1,6,5,7,3,4,2] => [1,6,5,3,4,2] => [1,2,6,3,5,4] => 2
[1,6,5,7,4,2,3] => [1,6,5,4,2,3] => [1,2,6,3,5,4] => 2
[1,6,5,7,4,3,2] => [1,6,5,4,3,2] => [1,2,6,3,5,4] => 2
[1,6,7,2,3,4,5] => [1,6,2,3,4,5] => [1,2,6,5,4,3] => 1
[1,6,7,2,3,5,4] => [1,6,2,3,5,4] => [1,2,6,4,3,5] => 1
[1,6,7,2,4,3,5] => [1,6,2,4,3,5] => [1,2,6,5,3,4] => 1
[1,6,7,2,4,5,3] => [1,6,2,4,5,3] => [1,2,6,3,4,5] => 1
[1,6,7,2,5,3,4] => [1,6,2,5,3,4] => [1,2,6,4,5,3] => 2
[1,6,7,2,5,4,3] => [1,6,2,5,4,3] => [1,2,6,3,4,5] => 1
[1,6,7,3,2,4,5] => [1,6,3,2,4,5] => [1,2,6,5,4,3] => 1
[1,6,7,3,2,5,4] => [1,6,3,2,5,4] => [1,2,6,4,3,5] => 1
[1,6,7,3,4,2,5] => [1,6,3,4,2,5] => [1,2,6,5,3,4] => 1
[1,6,7,3,4,5,2] => [1,6,3,4,5,2] => [1,2,6,3,4,5] => 1
[1,6,7,3,5,2,4] => [1,6,3,5,2,4] => [1,2,6,4,5,3] => 2
[1,6,7,3,5,4,2] => [1,6,3,5,4,2] => [1,2,6,3,4,5] => 1
[1,6,7,4,2,3,5] => [1,6,4,2,3,5] => [1,2,6,5,3,4] => 1
[1,6,7,4,2,5,3] => [1,6,4,2,5,3] => [1,2,6,3,4,5] => 1
[1,6,7,4,3,2,5] => [1,6,4,3,2,5] => [1,2,6,5,3,4] => 1
[1,6,7,4,3,5,2] => [1,6,4,3,5,2] => [1,2,6,3,4,5] => 1
[1,6,7,4,5,2,3] => [1,6,4,5,2,3] => [1,2,6,3,4,5] => 1
[1,6,7,4,5,3,2] => [1,6,4,5,3,2] => [1,2,6,3,4,5] => 1
[1,6,7,5,2,3,4] => [1,6,5,2,3,4] => [1,2,6,4,3,5] => 1
[1,6,7,5,2,4,3] => [1,6,5,2,4,3] => [1,2,6,3,5,4] => 2
[1,6,7,5,3,2,4] => [1,6,5,3,2,4] => [1,2,6,4,3,5] => 1
[1,6,7,5,3,4,2] => [1,6,5,3,4,2] => [1,2,6,3,5,4] => 2
[1,6,7,5,4,2,3] => [1,6,5,4,2,3] => [1,2,6,3,5,4] => 2
[1,6,7,5,4,3,2] => [1,6,5,4,3,2] => [1,2,6,3,5,4] => 2
[1,7,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,7,2,3,4,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[1,7,2,3,5,4,6] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[1,7,2,3,5,6,4] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => 0
[1,7,2,3,6,4,5] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[1,7,2,3,6,5,4] => [1,2,3,6,5,4] => [1,2,3,4,6,5] => 1
[1,7,2,4,3,5,6] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[1,7,2,4,3,6,5] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[1,7,2,4,5,3,6] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => 0
[1,7,2,4,5,6,3] => [1,2,4,5,6,3] => [1,2,3,4,5,6] => 0
[1,7,2,4,6,3,5] => [1,2,4,6,3,5] => [1,2,3,4,6,5] => 1
[1,7,2,4,6,5,3] => [1,2,4,6,5,3] => [1,2,3,4,6,5] => 1
[1,7,2,5,3,4,6] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[1,7,2,5,3,6,4] => [1,2,5,3,6,4] => [1,2,3,5,6,4] => 1
[1,7,2,5,4,3,6] => [1,2,5,4,3,6] => [1,2,3,5,4,6] => 1
[1,7,2,5,4,6,3] => [1,2,5,4,6,3] => [1,2,3,5,6,4] => 1
[1,7,2,5,6,3,4] => [1,2,5,6,3,4] => [1,2,3,5,4,6] => 1
[1,7,2,5,6,4,3] => [1,2,5,6,4,3] => [1,2,3,5,4,6] => 1
[1,7,2,6,3,4,5] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 1
[1,7,2,6,3,5,4] => [1,2,6,3,5,4] => [1,2,3,6,4,5] => 1
[1,7,2,6,4,3,5] => [1,2,6,4,3,5] => [1,2,3,6,5,4] => 1
[1,7,2,6,4,5,3] => [1,2,6,4,5,3] => [1,2,3,6,4,5] => 1
[1,7,2,6,5,3,4] => [1,2,6,5,3,4] => [1,2,3,6,4,5] => 1
[1,7,2,6,5,4,3] => [1,2,6,5,4,3] => [1,2,3,6,4,5] => 1
[1,7,3,2,4,5,6] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[1,7,3,2,4,6,5] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[1,7,3,2,5,4,6] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => 0
[1,7,3,2,5,6,4] => [1,3,2,5,6,4] => [1,2,3,4,5,6] => 0
[1,7,3,2,6,4,5] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[1,7,3,2,6,5,4] => [1,3,2,6,5,4] => [1,2,3,4,6,5] => 1
[1,7,3,4,2,5,6] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => 0
[1,7,3,4,2,6,5] => [1,3,4,2,6,5] => [1,2,3,4,5,6] => 0
[1,7,3,4,5,2,6] => [1,3,4,5,2,6] => [1,2,3,4,5,6] => 0
[1,7,3,4,5,6,2] => [1,3,4,5,6,2] => [1,2,3,4,5,6] => 0
[1,7,3,4,6,2,5] => [1,3,4,6,2,5] => [1,2,3,4,6,5] => 1
[1,7,3,4,6,5,2] => [1,3,4,6,5,2] => [1,2,3,4,6,5] => 1
[1,7,3,5,2,4,6] => [1,3,5,2,4,6] => [1,2,3,5,4,6] => 1
[1,7,3,5,2,6,4] => [1,3,5,2,6,4] => [1,2,3,5,6,4] => 1
[1,7,3,5,4,2,6] => [1,3,5,4,2,6] => [1,2,3,5,4,6] => 1
[1,7,3,5,4,6,2] => [1,3,5,4,6,2] => [1,2,3,5,6,4] => 1
[1,7,3,5,6,2,4] => [1,3,5,6,2,4] => [1,2,3,5,4,6] => 1
[1,7,3,5,6,4,2] => [1,3,5,6,4,2] => [1,2,3,5,4,6] => 1
[1,7,3,6,2,4,5] => [1,3,6,2,4,5] => [1,2,3,6,5,4] => 1
[1,7,3,6,2,5,4] => [1,3,6,2,5,4] => [1,2,3,6,4,5] => 1
[1,7,3,6,4,2,5] => [1,3,6,4,2,5] => [1,2,3,6,5,4] => 1
[1,7,3,6,4,5,2] => [1,3,6,4,5,2] => [1,2,3,6,4,5] => 1
[1,7,3,6,5,2,4] => [1,3,6,5,2,4] => [1,2,3,6,4,5] => 1
[1,7,3,6,5,4,2] => [1,3,6,5,4,2] => [1,2,3,6,4,5] => 1
[1,7,4,2,3,5,6] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[1,7,4,2,3,6,5] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[1,7,4,2,5,3,6] => [1,4,2,5,3,6] => [1,2,4,5,3,6] => 1
[1,7,4,2,5,6,3] => [1,4,2,5,6,3] => [1,2,4,5,6,3] => 1
[1,7,4,2,6,3,5] => [1,4,2,6,3,5] => [1,2,4,6,5,3] => 1
[1,7,4,2,6,5,3] => [1,4,2,6,5,3] => [1,2,4,6,3,5] => 1
[1,7,4,3,2,5,6] => [1,4,3,2,5,6] => [1,2,4,3,5,6] => 1
[1,7,4,3,2,6,5] => [1,4,3,2,6,5] => [1,2,4,3,5,6] => 1
[1,7,4,3,5,2,6] => [1,4,3,5,2,6] => [1,2,4,5,3,6] => 1
[1,7,4,3,5,6,2] => [1,4,3,5,6,2] => [1,2,4,5,6,3] => 1
[1,7,4,3,6,2,5] => [1,4,3,6,2,5] => [1,2,4,6,5,3] => 1
[1,7,4,3,6,5,2] => [1,4,3,6,5,2] => [1,2,4,6,3,5] => 1
[1,7,4,5,2,3,6] => [1,4,5,2,3,6] => [1,2,4,3,5,6] => 1
[1,7,4,5,2,6,3] => [1,4,5,2,6,3] => [1,2,4,3,5,6] => 1
[1,7,4,5,3,2,6] => [1,4,5,3,2,6] => [1,2,4,3,5,6] => 1
[1,7,4,5,3,6,2] => [1,4,5,3,6,2] => [1,2,4,3,5,6] => 1
[1,7,4,5,6,2,3] => [1,4,5,6,2,3] => [1,2,4,6,3,5] => 1
[1,7,4,5,6,3,2] => [1,4,5,6,3,2] => [1,2,4,6,3,5] => 1
[1,7,4,6,2,3,5] => [1,4,6,2,3,5] => [1,2,4,3,6,5] => 2
[1,7,4,6,2,5,3] => [1,4,6,2,5,3] => [1,2,4,3,6,5] => 2
[1,7,4,6,3,2,5] => [1,4,6,3,2,5] => [1,2,4,3,6,5] => 2
[1,7,4,6,3,5,2] => [1,4,6,3,5,2] => [1,2,4,3,6,5] => 2
[1,7,4,6,5,2,3] => [1,4,6,5,2,3] => [1,2,4,5,3,6] => 1
[1,7,4,6,5,3,2] => [1,4,6,5,3,2] => [1,2,4,5,3,6] => 1
[1,7,5,2,3,4,6] => [1,5,2,3,4,6] => [1,2,5,4,3,6] => 1
[1,7,5,2,3,6,4] => [1,5,2,3,6,4] => [1,2,5,6,4,3] => 1
[1,7,5,2,4,3,6] => [1,5,2,4,3,6] => [1,2,5,3,4,6] => 1
[1,7,5,2,4,6,3] => [1,5,2,4,6,3] => [1,2,5,6,3,4] => 1
[1,7,5,2,6,3,4] => [1,5,2,6,3,4] => [1,2,5,3,4,6] => 1
[1,7,5,2,6,4,3] => [1,5,2,6,4,3] => [1,2,5,4,6,3] => 2
[1,7,5,3,2,4,6] => [1,5,3,2,4,6] => [1,2,5,4,3,6] => 1
[1,7,5,3,2,6,4] => [1,5,3,2,6,4] => [1,2,5,6,4,3] => 1
[1,7,5,3,4,2,6] => [1,5,3,4,2,6] => [1,2,5,3,4,6] => 1
[1,7,5,3,4,6,2] => [1,5,3,4,6,2] => [1,2,5,6,3,4] => 1
[1,7,5,3,6,2,4] => [1,5,3,6,2,4] => [1,2,5,3,4,6] => 1
[1,7,5,3,6,4,2] => [1,5,3,6,4,2] => [1,2,5,4,6,3] => 2
[1,7,5,4,2,3,6] => [1,5,4,2,3,6] => [1,2,5,3,4,6] => 1
[1,7,5,4,2,6,3] => [1,5,4,2,6,3] => [1,2,5,6,3,4] => 1
[1,7,5,4,3,2,6] => [1,5,4,3,2,6] => [1,2,5,3,4,6] => 1
[1,7,5,4,3,6,2] => [1,5,4,3,6,2] => [1,2,5,6,3,4] => 1
[1,7,5,4,6,2,3] => [1,5,4,6,2,3] => [1,2,5,3,4,6] => 1
[1,7,5,4,6,3,2] => [1,5,4,6,3,2] => [1,2,5,3,4,6] => 1
[1,7,5,6,2,3,4] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => 2
[1,7,5,6,2,4,3] => [1,5,6,2,4,3] => [1,2,5,4,3,6] => 1
[1,7,5,6,3,2,4] => [1,5,6,3,2,4] => [1,2,5,3,6,4] => 2
[1,7,5,6,3,4,2] => [1,5,6,3,4,2] => [1,2,5,4,3,6] => 1
[1,7,5,6,4,2,3] => [1,5,6,4,2,3] => [1,2,5,3,6,4] => 2
[1,7,5,6,4,3,2] => [1,5,6,4,3,2] => [1,2,5,3,6,4] => 2
[1,7,6,2,3,4,5] => [1,6,2,3,4,5] => [1,2,6,5,4,3] => 1
[1,7,6,2,3,5,4] => [1,6,2,3,5,4] => [1,2,6,4,3,5] => 1
[1,7,6,2,4,3,5] => [1,6,2,4,3,5] => [1,2,6,5,3,4] => 1
[1,7,6,2,4,5,3] => [1,6,2,4,5,3] => [1,2,6,3,4,5] => 1
[1,7,6,2,5,3,4] => [1,6,2,5,3,4] => [1,2,6,4,5,3] => 2
[1,7,6,2,5,4,3] => [1,6,2,5,4,3] => [1,2,6,3,4,5] => 1
[1,7,6,3,2,4,5] => [1,6,3,2,4,5] => [1,2,6,5,4,3] => 1
[1,7,6,3,2,5,4] => [1,6,3,2,5,4] => [1,2,6,4,3,5] => 1
[1,7,6,3,4,2,5] => [1,6,3,4,2,5] => [1,2,6,5,3,4] => 1
[1,7,6,3,4,5,2] => [1,6,3,4,5,2] => [1,2,6,3,4,5] => 1
[1,7,6,3,5,2,4] => [1,6,3,5,2,4] => [1,2,6,4,5,3] => 2
[1,7,6,3,5,4,2] => [1,6,3,5,4,2] => [1,2,6,3,4,5] => 1
[1,7,6,4,2,3,5] => [1,6,4,2,3,5] => [1,2,6,5,3,4] => 1
[1,7,6,4,2,5,3] => [1,6,4,2,5,3] => [1,2,6,3,4,5] => 1
[1,7,6,4,3,2,5] => [1,6,4,3,2,5] => [1,2,6,5,3,4] => 1
[1,7,6,4,3,5,2] => [1,6,4,3,5,2] => [1,2,6,3,4,5] => 1
[1,7,6,4,5,2,3] => [1,6,4,5,2,3] => [1,2,6,3,4,5] => 1
[1,7,6,4,5,3,2] => [1,6,4,5,3,2] => [1,2,6,3,4,5] => 1
[1,7,6,5,2,3,4] => [1,6,5,2,3,4] => [1,2,6,4,3,5] => 1
[1,7,6,5,2,4,3] => [1,6,5,2,4,3] => [1,2,6,3,5,4] => 2
[1,7,6,5,3,2,4] => [1,6,5,3,2,4] => [1,2,6,4,3,5] => 1
[1,7,6,5,3,4,2] => [1,6,5,3,4,2] => [1,2,6,3,5,4] => 2
[1,7,6,5,4,2,3] => [1,6,5,4,2,3] => [1,2,6,3,5,4] => 2
[1,7,6,5,4,3,2] => [1,6,5,4,3,2] => [1,2,6,3,5,4] => 2
[2,1,3,4,5,6,7] => [2,1,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,1,3,4,5,7,6] => [2,1,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,1,3,4,6,5,7] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => 0
[2,1,3,4,6,7,5] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => 0
[2,1,3,4,7,5,6] => [2,1,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,1,3,4,7,6,5] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => 0
[2,1,3,5,4,6,7] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => 0
[2,1,3,5,4,7,6] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => 0
[2,1,3,5,6,4,7] => [2,1,3,5,6,4] => [1,2,3,4,5,6] => 0
[2,1,3,5,6,7,4] => [2,1,3,5,6,4] => [1,2,3,4,5,6] => 0
[2,1,3,5,7,4,6] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => 0
[2,1,3,5,7,6,4] => [2,1,3,5,6,4] => [1,2,3,4,5,6] => 0
[2,1,3,6,4,5,7] => [2,1,3,6,4,5] => [1,2,3,4,6,5] => 1
[2,1,3,6,4,7,5] => [2,1,3,6,4,5] => [1,2,3,4,6,5] => 1
[2,1,3,6,5,4,7] => [2,1,3,6,5,4] => [1,2,3,4,6,5] => 1
[2,1,3,6,5,7,4] => [2,1,3,6,5,4] => [1,2,3,4,6,5] => 1
[2,1,3,6,7,4,5] => [2,1,3,6,4,5] => [1,2,3,4,6,5] => 1
[2,1,3,6,7,5,4] => [2,1,3,6,5,4] => [1,2,3,4,6,5] => 1
[2,1,3,7,4,5,6] => [2,1,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,1,3,7,4,6,5] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => 0
[2,1,3,7,5,4,6] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => 0
[2,1,3,7,5,6,4] => [2,1,3,5,6,4] => [1,2,3,4,5,6] => 0
[2,1,3,7,6,4,5] => [2,1,3,6,4,5] => [1,2,3,4,6,5] => 1
[2,1,3,7,6,5,4] => [2,1,3,6,5,4] => [1,2,3,4,6,5] => 1
[2,1,4,3,5,6,7] => [2,1,4,3,5,6] => [1,2,3,4,5,6] => 0
[2,1,4,3,5,7,6] => [2,1,4,3,5,6] => [1,2,3,4,5,6] => 0
[2,1,4,3,6,5,7] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => 0
[2,1,4,3,6,7,5] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => 0
[2,1,4,3,7,5,6] => [2,1,4,3,5,6] => [1,2,3,4,5,6] => 0
[2,1,4,3,7,6,5] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => 0
[2,1,4,5,3,6,7] => [2,1,4,5,3,6] => [1,2,3,4,5,6] => 0
[2,1,4,5,3,7,6] => [2,1,4,5,3,6] => [1,2,3,4,5,6] => 0
[2,1,4,5,6,3,7] => [2,1,4,5,6,3] => [1,2,3,4,5,6] => 0
[2,1,4,5,6,7,3] => [2,1,4,5,6,3] => [1,2,3,4,5,6] => 0
[2,1,4,5,7,3,6] => [2,1,4,5,3,6] => [1,2,3,4,5,6] => 0
[2,1,4,5,7,6,3] => [2,1,4,5,6,3] => [1,2,3,4,5,6] => 0
[2,1,4,6,3,5,7] => [2,1,4,6,3,5] => [1,2,3,4,6,5] => 1
[2,1,4,6,3,7,5] => [2,1,4,6,3,5] => [1,2,3,4,6,5] => 1
[2,1,4,6,5,3,7] => [2,1,4,6,5,3] => [1,2,3,4,6,5] => 1
[2,1,4,6,5,7,3] => [2,1,4,6,5,3] => [1,2,3,4,6,5] => 1
[2,1,4,6,7,3,5] => [2,1,4,6,3,5] => [1,2,3,4,6,5] => 1
[2,1,4,6,7,5,3] => [2,1,4,6,5,3] => [1,2,3,4,6,5] => 1
[2,1,4,7,3,5,6] => [2,1,4,3,5,6] => [1,2,3,4,5,6] => 0
[2,1,4,7,3,6,5] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => 0
[2,1,4,7,5,3,6] => [2,1,4,5,3,6] => [1,2,3,4,5,6] => 0
[2,1,4,7,5,6,3] => [2,1,4,5,6,3] => [1,2,3,4,5,6] => 0
[2,1,4,7,6,3,5] => [2,1,4,6,3,5] => [1,2,3,4,6,5] => 1
[2,1,4,7,6,5,3] => [2,1,4,6,5,3] => [1,2,3,4,6,5] => 1
[2,1,5,3,4,6,7] => [2,1,5,3,4,6] => [1,2,3,5,4,6] => 1
[2,1,5,3,4,7,6] => [2,1,5,3,4,6] => [1,2,3,5,4,6] => 1
[2,1,5,3,6,4,7] => [2,1,5,3,6,4] => [1,2,3,5,6,4] => 1
[2,1,5,3,6,7,4] => [2,1,5,3,6,4] => [1,2,3,5,6,4] => 1
[2,1,5,3,7,4,6] => [2,1,5,3,4,6] => [1,2,3,5,4,6] => 1
[2,1,5,3,7,6,4] => [2,1,5,3,6,4] => [1,2,3,5,6,4] => 1
[2,1,5,4,3,6,7] => [2,1,5,4,3,6] => [1,2,3,5,4,6] => 1
[2,1,5,4,3,7,6] => [2,1,5,4,3,6] => [1,2,3,5,4,6] => 1
[2,1,5,4,6,3,7] => [2,1,5,4,6,3] => [1,2,3,5,6,4] => 1
[2,1,5,4,6,7,3] => [2,1,5,4,6,3] => [1,2,3,5,6,4] => 1
[2,1,5,4,7,3,6] => [2,1,5,4,3,6] => [1,2,3,5,4,6] => 1
[2,1,5,4,7,6,3] => [2,1,5,4,6,3] => [1,2,3,5,6,4] => 1
[2,1,5,6,3,4,7] => [2,1,5,6,3,4] => [1,2,3,5,4,6] => 1
[2,1,5,6,3,7,4] => [2,1,5,6,3,4] => [1,2,3,5,4,6] => 1
[2,1,5,6,4,3,7] => [2,1,5,6,4,3] => [1,2,3,5,4,6] => 1
[2,1,5,6,4,7,3] => [2,1,5,6,4,3] => [1,2,3,5,4,6] => 1
[2,1,5,6,7,3,4] => [2,1,5,6,3,4] => [1,2,3,5,4,6] => 1
[2,1,5,6,7,4,3] => [2,1,5,6,4,3] => [1,2,3,5,4,6] => 1
[2,1,5,7,3,4,6] => [2,1,5,3,4,6] => [1,2,3,5,4,6] => 1
[2,1,5,7,3,6,4] => [2,1,5,3,6,4] => [1,2,3,5,6,4] => 1
[2,1,5,7,4,3,6] => [2,1,5,4,3,6] => [1,2,3,5,4,6] => 1
[2,1,5,7,4,6,3] => [2,1,5,4,6,3] => [1,2,3,5,6,4] => 1
[2,1,5,7,6,3,4] => [2,1,5,6,3,4] => [1,2,3,5,4,6] => 1
[2,1,5,7,6,4,3] => [2,1,5,6,4,3] => [1,2,3,5,4,6] => 1
[2,1,6,3,4,5,7] => [2,1,6,3,4,5] => [1,2,3,6,5,4] => 1
[2,1,6,3,4,7,5] => [2,1,6,3,4,5] => [1,2,3,6,5,4] => 1
[2,1,6,3,5,4,7] => [2,1,6,3,5,4] => [1,2,3,6,4,5] => 1
[2,1,6,3,5,7,4] => [2,1,6,3,5,4] => [1,2,3,6,4,5] => 1
[2,1,6,3,7,4,5] => [2,1,6,3,4,5] => [1,2,3,6,5,4] => 1
[2,1,6,3,7,5,4] => [2,1,6,3,5,4] => [1,2,3,6,4,5] => 1
[2,1,6,4,3,5,7] => [2,1,6,4,3,5] => [1,2,3,6,5,4] => 1
[2,1,6,4,3,7,5] => [2,1,6,4,3,5] => [1,2,3,6,5,4] => 1
[2,1,6,4,5,3,7] => [2,1,6,4,5,3] => [1,2,3,6,4,5] => 1
[2,1,6,4,5,7,3] => [2,1,6,4,5,3] => [1,2,3,6,4,5] => 1
[2,1,6,4,7,3,5] => [2,1,6,4,3,5] => [1,2,3,6,5,4] => 1
[2,1,6,4,7,5,3] => [2,1,6,4,5,3] => [1,2,3,6,4,5] => 1
[2,1,6,5,3,4,7] => [2,1,6,5,3,4] => [1,2,3,6,4,5] => 1
[2,1,6,5,3,7,4] => [2,1,6,5,3,4] => [1,2,3,6,4,5] => 1
[2,1,6,5,4,3,7] => [2,1,6,5,4,3] => [1,2,3,6,4,5] => 1
[2,1,6,5,4,7,3] => [2,1,6,5,4,3] => [1,2,3,6,4,5] => 1
[2,1,6,5,7,3,4] => [2,1,6,5,3,4] => [1,2,3,6,4,5] => 1
[2,1,6,5,7,4,3] => [2,1,6,5,4,3] => [1,2,3,6,4,5] => 1
[2,1,6,7,3,4,5] => [2,1,6,3,4,5] => [1,2,3,6,5,4] => 1
[2,1,6,7,3,5,4] => [2,1,6,3,5,4] => [1,2,3,6,4,5] => 1
[2,1,6,7,4,3,5] => [2,1,6,4,3,5] => [1,2,3,6,5,4] => 1
[2,1,6,7,4,5,3] => [2,1,6,4,5,3] => [1,2,3,6,4,5] => 1
[2,1,6,7,5,3,4] => [2,1,6,5,3,4] => [1,2,3,6,4,5] => 1
[2,1,6,7,5,4,3] => [2,1,6,5,4,3] => [1,2,3,6,4,5] => 1
[2,1,7,3,4,5,6] => [2,1,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,1,7,3,4,6,5] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => 0
[2,1,7,3,5,4,6] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => 0
[2,1,7,3,5,6,4] => [2,1,3,5,6,4] => [1,2,3,4,5,6] => 0
[2,1,7,3,6,4,5] => [2,1,3,6,4,5] => [1,2,3,4,6,5] => 1
[2,1,7,3,6,5,4] => [2,1,3,6,5,4] => [1,2,3,4,6,5] => 1
[2,1,7,4,3,5,6] => [2,1,4,3,5,6] => [1,2,3,4,5,6] => 0
[2,1,7,4,3,6,5] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => 0
[2,1,7,4,5,3,6] => [2,1,4,5,3,6] => [1,2,3,4,5,6] => 0
[2,1,7,4,5,6,3] => [2,1,4,5,6,3] => [1,2,3,4,5,6] => 0
[2,1,7,4,6,3,5] => [2,1,4,6,3,5] => [1,2,3,4,6,5] => 1
[2,1,7,4,6,5,3] => [2,1,4,6,5,3] => [1,2,3,4,6,5] => 1
[2,1,7,5,3,4,6] => [2,1,5,3,4,6] => [1,2,3,5,4,6] => 1
[2,1,7,5,3,6,4] => [2,1,5,3,6,4] => [1,2,3,5,6,4] => 1
[2,1,7,5,4,3,6] => [2,1,5,4,3,6] => [1,2,3,5,4,6] => 1
[2,1,7,5,4,6,3] => [2,1,5,4,6,3] => [1,2,3,5,6,4] => 1
[2,1,7,5,6,3,4] => [2,1,5,6,3,4] => [1,2,3,5,4,6] => 1
[2,1,7,5,6,4,3] => [2,1,5,6,4,3] => [1,2,3,5,4,6] => 1
[2,1,7,6,3,4,5] => [2,1,6,3,4,5] => [1,2,3,6,5,4] => 1
[2,1,7,6,3,5,4] => [2,1,6,3,5,4] => [1,2,3,6,4,5] => 1
[2,1,7,6,4,3,5] => [2,1,6,4,3,5] => [1,2,3,6,5,4] => 1
[2,1,7,6,4,5,3] => [2,1,6,4,5,3] => [1,2,3,6,4,5] => 1
[2,1,7,6,5,3,4] => [2,1,6,5,3,4] => [1,2,3,6,4,5] => 1
[2,1,7,6,5,4,3] => [2,1,6,5,4,3] => [1,2,3,6,4,5] => 1
[2,3,1,4,5,6,7] => [2,3,1,4,5,6] => [1,2,3,4,5,6] => 0
[2,3,1,4,5,7,6] => [2,3,1,4,5,6] => [1,2,3,4,5,6] => 0
[2,3,1,4,6,5,7] => [2,3,1,4,6,5] => [1,2,3,4,5,6] => 0
[2,3,1,4,6,7,5] => [2,3,1,4,6,5] => [1,2,3,4,5,6] => 0
[2,3,1,4,7,5,6] => [2,3,1,4,5,6] => [1,2,3,4,5,6] => 0
[2,3,1,4,7,6,5] => [2,3,1,4,6,5] => [1,2,3,4,5,6] => 0
[2,3,1,5,4,6,7] => [2,3,1,5,4,6] => [1,2,3,4,5,6] => 0
[2,3,1,5,4,7,6] => [2,3,1,5,4,6] => [1,2,3,4,5,6] => 0
[2,3,1,5,6,4,7] => [2,3,1,5,6,4] => [1,2,3,4,5,6] => 0
[2,3,1,5,6,7,4] => [2,3,1,5,6,4] => [1,2,3,4,5,6] => 0
[2,3,1,5,7,4,6] => [2,3,1,5,4,6] => [1,2,3,4,5,6] => 0
[2,3,1,5,7,6,4] => [2,3,1,5,6,4] => [1,2,3,4,5,6] => 0
[2,3,1,6,4,5,7] => [2,3,1,6,4,5] => [1,2,3,4,6,5] => 1
[2,3,1,6,4,7,5] => [2,3,1,6,4,5] => [1,2,3,4,6,5] => 1
[2,3,1,6,5,4,7] => [2,3,1,6,5,4] => [1,2,3,4,6,5] => 1
[2,3,1,6,5,7,4] => [2,3,1,6,5,4] => [1,2,3,4,6,5] => 1
[2,3,1,6,7,4,5] => [2,3,1,6,4,5] => [1,2,3,4,6,5] => 1
[2,3,1,6,7,5,4] => [2,3,1,6,5,4] => [1,2,3,4,6,5] => 1
[2,3,1,7,4,5,6] => [2,3,1,4,5,6] => [1,2,3,4,5,6] => 0
[2,3,1,7,4,6,5] => [2,3,1,4,6,5] => [1,2,3,4,5,6] => 0
[2,3,1,7,5,4,6] => [2,3,1,5,4,6] => [1,2,3,4,5,6] => 0
[2,3,1,7,5,6,4] => [2,3,1,5,6,4] => [1,2,3,4,5,6] => 0
[2,3,1,7,6,4,5] => [2,3,1,6,4,5] => [1,2,3,4,6,5] => 1
[2,3,1,7,6,5,4] => [2,3,1,6,5,4] => [1,2,3,4,6,5] => 1
[2,3,4,1,5,6,7] => [2,3,4,1,5,6] => [1,2,3,4,5,6] => 0
[2,3,4,1,5,7,6] => [2,3,4,1,5,6] => [1,2,3,4,5,6] => 0
[2,3,4,1,6,5,7] => [2,3,4,1,6,5] => [1,2,3,4,5,6] => 0
[2,3,4,1,6,7,5] => [2,3,4,1,6,5] => [1,2,3,4,5,6] => 0
[2,3,4,1,7,5,6] => [2,3,4,1,5,6] => [1,2,3,4,5,6] => 0
[2,3,4,1,7,6,5] => [2,3,4,1,6,5] => [1,2,3,4,5,6] => 0
[2,3,4,5,1,6,7] => [2,3,4,5,1,6] => [1,2,3,4,5,6] => 0
[2,3,4,5,1,7,6] => [2,3,4,5,1,6] => [1,2,3,4,5,6] => 0
[2,3,4,5,6,1,7] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 0
[2,3,4,5,6,7,1] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 0
[2,3,4,5,7,1,6] => [2,3,4,5,1,6] => [1,2,3,4,5,6] => 0
[2,3,4,5,7,6,1] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 0
[2,3,4,6,1,5,7] => [2,3,4,6,1,5] => [1,2,3,4,6,5] => 1
[2,3,4,6,1,7,5] => [2,3,4,6,1,5] => [1,2,3,4,6,5] => 1
[2,3,4,6,5,1,7] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 1
[2,3,4,6,5,7,1] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 1
[2,3,4,6,7,1,5] => [2,3,4,6,1,5] => [1,2,3,4,6,5] => 1
[2,3,4,6,7,5,1] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 1
[2,3,4,7,1,5,6] => [2,3,4,1,5,6] => [1,2,3,4,5,6] => 0
[2,3,4,7,1,6,5] => [2,3,4,1,6,5] => [1,2,3,4,5,6] => 0
[2,3,4,7,5,1,6] => [2,3,4,5,1,6] => [1,2,3,4,5,6] => 0
[2,3,4,7,5,6,1] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 0
[2,3,4,7,6,1,5] => [2,3,4,6,1,5] => [1,2,3,4,6,5] => 1
[2,3,4,7,6,5,1] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 1
[2,3,5,1,4,6,7] => [2,3,5,1,4,6] => [1,2,3,5,4,6] => 1
[2,3,5,1,4,7,6] => [2,3,5,1,4,6] => [1,2,3,5,4,6] => 1
[2,3,5,1,6,4,7] => [2,3,5,1,6,4] => [1,2,3,5,6,4] => 1
[2,3,5,1,6,7,4] => [2,3,5,1,6,4] => [1,2,3,5,6,4] => 1
[2,3,5,1,7,4,6] => [2,3,5,1,4,6] => [1,2,3,5,4,6] => 1
[2,3,5,1,7,6,4] => [2,3,5,1,6,4] => [1,2,3,5,6,4] => 1
[2,3,5,4,1,6,7] => [2,3,5,4,1,6] => [1,2,3,5,4,6] => 1
[2,3,5,4,1,7,6] => [2,3,5,4,1,6] => [1,2,3,5,4,6] => 1
[2,3,5,4,6,1,7] => [2,3,5,4,6,1] => [1,2,3,5,6,4] => 1
[2,3,5,4,6,7,1] => [2,3,5,4,6,1] => [1,2,3,5,6,4] => 1
[2,3,5,4,7,1,6] => [2,3,5,4,1,6] => [1,2,3,5,4,6] => 1
[2,3,5,4,7,6,1] => [2,3,5,4,6,1] => [1,2,3,5,6,4] => 1
[2,3,5,6,1,4,7] => [2,3,5,6,1,4] => [1,2,3,5,4,6] => 1
[2,3,5,6,1,7,4] => [2,3,5,6,1,4] => [1,2,3,5,4,6] => 1
[2,3,5,6,4,1,7] => [2,3,5,6,4,1] => [1,2,3,5,4,6] => 1
[2,3,5,6,4,7,1] => [2,3,5,6,4,1] => [1,2,3,5,4,6] => 1
[2,3,5,6,7,1,4] => [2,3,5,6,1,4] => [1,2,3,5,4,6] => 1
[2,3,5,6,7,4,1] => [2,3,5,6,4,1] => [1,2,3,5,4,6] => 1
[2,3,5,7,1,4,6] => [2,3,5,1,4,6] => [1,2,3,5,4,6] => 1
[2,3,5,7,1,6,4] => [2,3,5,1,6,4] => [1,2,3,5,6,4] => 1
[2,3,5,7,4,1,6] => [2,3,5,4,1,6] => [1,2,3,5,4,6] => 1
[2,3,5,7,4,6,1] => [2,3,5,4,6,1] => [1,2,3,5,6,4] => 1
[2,3,5,7,6,1,4] => [2,3,5,6,1,4] => [1,2,3,5,4,6] => 1
[2,3,5,7,6,4,1] => [2,3,5,6,4,1] => [1,2,3,5,4,6] => 1
[2,3,6,1,4,5,7] => [2,3,6,1,4,5] => [1,2,3,6,5,4] => 1
[2,3,6,1,4,7,5] => [2,3,6,1,4,5] => [1,2,3,6,5,4] => 1
[2,3,6,1,5,4,7] => [2,3,6,1,5,4] => [1,2,3,6,4,5] => 1
[2,3,6,1,5,7,4] => [2,3,6,1,5,4] => [1,2,3,6,4,5] => 1
[2,3,6,1,7,4,5] => [2,3,6,1,4,5] => [1,2,3,6,5,4] => 1
[2,3,6,1,7,5,4] => [2,3,6,1,5,4] => [1,2,3,6,4,5] => 1
[2,3,6,4,1,5,7] => [2,3,6,4,1,5] => [1,2,3,6,5,4] => 1
[2,3,6,4,1,7,5] => [2,3,6,4,1,5] => [1,2,3,6,5,4] => 1
[2,3,6,4,5,1,7] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 1
[2,3,6,4,5,7,1] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 1
[2,3,6,4,7,1,5] => [2,3,6,4,1,5] => [1,2,3,6,5,4] => 1
[2,3,6,4,7,5,1] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 1
[2,3,6,5,1,4,7] => [2,3,6,5,1,4] => [1,2,3,6,4,5] => 1
[2,3,6,5,1,7,4] => [2,3,6,5,1,4] => [1,2,3,6,4,5] => 1
[2,3,6,5,4,1,7] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 1
[2,3,6,5,4,7,1] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 1
[2,3,6,5,7,1,4] => [2,3,6,5,1,4] => [1,2,3,6,4,5] => 1
[2,3,6,5,7,4,1] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 1
[2,3,6,7,1,4,5] => [2,3,6,1,4,5] => [1,2,3,6,5,4] => 1
[2,3,6,7,1,5,4] => [2,3,6,1,5,4] => [1,2,3,6,4,5] => 1
[2,3,6,7,4,1,5] => [2,3,6,4,1,5] => [1,2,3,6,5,4] => 1
[2,3,6,7,4,5,1] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 1
[2,3,6,7,5,1,4] => [2,3,6,5,1,4] => [1,2,3,6,4,5] => 1
[2,3,6,7,5,4,1] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 1
[2,3,7,1,4,5,6] => [2,3,1,4,5,6] => [1,2,3,4,5,6] => 0
[2,3,7,1,4,6,5] => [2,3,1,4,6,5] => [1,2,3,4,5,6] => 0
[2,3,7,1,5,4,6] => [2,3,1,5,4,6] => [1,2,3,4,5,6] => 0
[2,3,7,1,5,6,4] => [2,3,1,5,6,4] => [1,2,3,4,5,6] => 0
[2,3,7,1,6,4,5] => [2,3,1,6,4,5] => [1,2,3,4,6,5] => 1
[2,3,7,1,6,5,4] => [2,3,1,6,5,4] => [1,2,3,4,6,5] => 1
[2,3,7,4,1,5,6] => [2,3,4,1,5,6] => [1,2,3,4,5,6] => 0
[2,3,7,4,1,6,5] => [2,3,4,1,6,5] => [1,2,3,4,5,6] => 0
[2,3,7,4,5,1,6] => [2,3,4,5,1,6] => [1,2,3,4,5,6] => 0
[2,3,7,4,5,6,1] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 0
[2,3,7,4,6,1,5] => [2,3,4,6,1,5] => [1,2,3,4,6,5] => 1
[2,3,7,4,6,5,1] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 1
[2,3,7,5,1,4,6] => [2,3,5,1,4,6] => [1,2,3,5,4,6] => 1
[2,3,7,5,1,6,4] => [2,3,5,1,6,4] => [1,2,3,5,6,4] => 1
[2,3,7,5,4,1,6] => [2,3,5,4,1,6] => [1,2,3,5,4,6] => 1
[2,3,7,5,4,6,1] => [2,3,5,4,6,1] => [1,2,3,5,6,4] => 1
[2,3,7,5,6,1,4] => [2,3,5,6,1,4] => [1,2,3,5,4,6] => 1
[2,3,7,5,6,4,1] => [2,3,5,6,4,1] => [1,2,3,5,4,6] => 1
[2,3,7,6,1,4,5] => [2,3,6,1,4,5] => [1,2,3,6,5,4] => 1
[2,3,7,6,1,5,4] => [2,3,6,1,5,4] => [1,2,3,6,4,5] => 1
[2,3,7,6,4,1,5] => [2,3,6,4,1,5] => [1,2,3,6,5,4] => 1
[2,3,7,6,4,5,1] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 1
[2,3,7,6,5,1,4] => [2,3,6,5,1,4] => [1,2,3,6,4,5] => 1
[2,3,7,6,5,4,1] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 1
[2,4,1,3,5,6,7] => [2,4,1,3,5,6] => [1,2,4,3,5,6] => 1
[2,4,1,3,5,7,6] => [2,4,1,3,5,6] => [1,2,4,3,5,6] => 1
[2,4,1,3,6,5,7] => [2,4,1,3,6,5] => [1,2,4,3,5,6] => 1
[2,4,1,3,6,7,5] => [2,4,1,3,6,5] => [1,2,4,3,5,6] => 1
[2,4,1,3,7,5,6] => [2,4,1,3,5,6] => [1,2,4,3,5,6] => 1
[2,4,1,3,7,6,5] => [2,4,1,3,6,5] => [1,2,4,3,5,6] => 1
[2,4,1,5,3,6,7] => [2,4,1,5,3,6] => [1,2,4,5,3,6] => 1
[2,4,1,5,3,7,6] => [2,4,1,5,3,6] => [1,2,4,5,3,6] => 1
[2,4,1,5,6,3,7] => [2,4,1,5,6,3] => [1,2,4,5,6,3] => 1
[2,4,1,5,6,7,3] => [2,4,1,5,6,3] => [1,2,4,5,6,3] => 1
[2,4,1,5,7,3,6] => [2,4,1,5,3,6] => [1,2,4,5,3,6] => 1
[2,4,1,5,7,6,3] => [2,4,1,5,6,3] => [1,2,4,5,6,3] => 1
[2,4,1,6,3,5,7] => [2,4,1,6,3,5] => [1,2,4,6,5,3] => 1
[2,4,1,6,3,7,5] => [2,4,1,6,3,5] => [1,2,4,6,5,3] => 1
[2,4,1,6,5,3,7] => [2,4,1,6,5,3] => [1,2,4,6,3,5] => 1
[2,4,1,6,5,7,3] => [2,4,1,6,5,3] => [1,2,4,6,3,5] => 1
[2,4,1,6,7,3,5] => [2,4,1,6,3,5] => [1,2,4,6,5,3] => 1
[2,4,1,6,7,5,3] => [2,4,1,6,5,3] => [1,2,4,6,3,5] => 1
[2,4,1,7,3,5,6] => [2,4,1,3,5,6] => [1,2,4,3,5,6] => 1
[2,4,1,7,3,6,5] => [2,4,1,3,6,5] => [1,2,4,3,5,6] => 1
[2,4,1,7,5,3,6] => [2,4,1,5,3,6] => [1,2,4,5,3,6] => 1
[2,4,1,7,5,6,3] => [2,4,1,5,6,3] => [1,2,4,5,6,3] => 1
[2,4,1,7,6,3,5] => [2,4,1,6,3,5] => [1,2,4,6,5,3] => 1
[2,4,1,7,6,5,3] => [2,4,1,6,5,3] => [1,2,4,6,3,5] => 1
[2,4,3,1,5,6,7] => [2,4,3,1,5,6] => [1,2,4,3,5,6] => 1
[2,4,3,1,5,7,6] => [2,4,3,1,5,6] => [1,2,4,3,5,6] => 1
[2,4,3,1,6,5,7] => [2,4,3,1,6,5] => [1,2,4,3,5,6] => 1
[2,4,3,1,6,7,5] => [2,4,3,1,6,5] => [1,2,4,3,5,6] => 1
[2,4,3,1,7,5,6] => [2,4,3,1,5,6] => [1,2,4,3,5,6] => 1
[2,4,3,1,7,6,5] => [2,4,3,1,6,5] => [1,2,4,3,5,6] => 1
[2,4,3,5,1,6,7] => [2,4,3,5,1,6] => [1,2,4,5,3,6] => 1
[2,4,3,5,1,7,6] => [2,4,3,5,1,6] => [1,2,4,5,3,6] => 1
[2,4,3,5,6,1,7] => [2,4,3,5,6,1] => [1,2,4,5,6,3] => 1
[2,4,3,5,6,7,1] => [2,4,3,5,6,1] => [1,2,4,5,6,3] => 1
[2,4,3,5,7,1,6] => [2,4,3,5,1,6] => [1,2,4,5,3,6] => 1
[2,4,3,5,7,6,1] => [2,4,3,5,6,1] => [1,2,4,5,6,3] => 1
[2,4,3,6,1,5,7] => [2,4,3,6,1,5] => [1,2,4,6,5,3] => 1
[2,4,3,6,1,7,5] => [2,4,3,6,1,5] => [1,2,4,6,5,3] => 1
[2,4,3,6,5,1,7] => [2,4,3,6,5,1] => [1,2,4,6,3,5] => 1
[2,4,3,6,5,7,1] => [2,4,3,6,5,1] => [1,2,4,6,3,5] => 1
[2,4,3,6,7,1,5] => [2,4,3,6,1,5] => [1,2,4,6,5,3] => 1
[2,4,3,6,7,5,1] => [2,4,3,6,5,1] => [1,2,4,6,3,5] => 1
[2,4,3,7,1,5,6] => [2,4,3,1,5,6] => [1,2,4,3,5,6] => 1
[2,4,3,7,1,6,5] => [2,4,3,1,6,5] => [1,2,4,3,5,6] => 1
[2,4,3,7,5,1,6] => [2,4,3,5,1,6] => [1,2,4,5,3,6] => 1
[2,4,3,7,5,6,1] => [2,4,3,5,6,1] => [1,2,4,5,6,3] => 1
[2,4,3,7,6,1,5] => [2,4,3,6,1,5] => [1,2,4,6,5,3] => 1
[2,4,3,7,6,5,1] => [2,4,3,6,5,1] => [1,2,4,6,3,5] => 1
[2,4,5,1,3,6,7] => [2,4,5,1,3,6] => [1,2,4,3,5,6] => 1
[2,4,5,1,3,7,6] => [2,4,5,1,3,6] => [1,2,4,3,5,6] => 1
[2,4,5,1,6,3,7] => [2,4,5,1,6,3] => [1,2,4,3,5,6] => 1
[2,4,5,1,6,7,3] => [2,4,5,1,6,3] => [1,2,4,3,5,6] => 1
[2,4,5,1,7,3,6] => [2,4,5,1,3,6] => [1,2,4,3,5,6] => 1
[2,4,5,1,7,6,3] => [2,4,5,1,6,3] => [1,2,4,3,5,6] => 1
[2,4,5,3,1,6,7] => [2,4,5,3,1,6] => [1,2,4,3,5,6] => 1
[2,4,5,3,1,7,6] => [2,4,5,3,1,6] => [1,2,4,3,5,6] => 1
[2,4,5,3,6,1,7] => [2,4,5,3,6,1] => [1,2,4,3,5,6] => 1
[2,4,5,3,6,7,1] => [2,4,5,3,6,1] => [1,2,4,3,5,6] => 1
[2,4,5,3,7,1,6] => [2,4,5,3,1,6] => [1,2,4,3,5,6] => 1
[2,4,5,3,7,6,1] => [2,4,5,3,6,1] => [1,2,4,3,5,6] => 1
[2,4,5,6,1,3,7] => [2,4,5,6,1,3] => [1,2,4,6,3,5] => 1
[2,4,5,6,1,7,3] => [2,4,5,6,1,3] => [1,2,4,6,3,5] => 1
[2,4,5,6,3,1,7] => [2,4,5,6,3,1] => [1,2,4,6,3,5] => 1
[2,4,5,6,3,7,1] => [2,4,5,6,3,1] => [1,2,4,6,3,5] => 1
[2,4,5,6,7,1,3] => [2,4,5,6,1,3] => [1,2,4,6,3,5] => 1
[2,4,5,6,7,3,1] => [2,4,5,6,3,1] => [1,2,4,6,3,5] => 1
[2,4,5,7,1,3,6] => [2,4,5,1,3,6] => [1,2,4,3,5,6] => 1
[2,4,5,7,1,6,3] => [2,4,5,1,6,3] => [1,2,4,3,5,6] => 1
[2,4,5,7,3,1,6] => [2,4,5,3,1,6] => [1,2,4,3,5,6] => 1
[2,4,5,7,3,6,1] => [2,4,5,3,6,1] => [1,2,4,3,5,6] => 1
[2,4,5,7,6,1,3] => [2,4,5,6,1,3] => [1,2,4,6,3,5] => 1
[2,4,5,7,6,3,1] => [2,4,5,6,3,1] => [1,2,4,6,3,5] => 1
[2,4,6,1,3,5,7] => [2,4,6,1,3,5] => [1,2,4,3,6,5] => 2
[2,4,6,1,3,7,5] => [2,4,6,1,3,5] => [1,2,4,3,6,5] => 2
[2,4,6,1,5,3,7] => [2,4,6,1,5,3] => [1,2,4,3,6,5] => 2
[2,4,6,1,5,7,3] => [2,4,6,1,5,3] => [1,2,4,3,6,5] => 2
[2,4,6,1,7,3,5] => [2,4,6,1,3,5] => [1,2,4,3,6,5] => 2
[2,4,6,1,7,5,3] => [2,4,6,1,5,3] => [1,2,4,3,6,5] => 2
[2,4,6,3,1,5,7] => [2,4,6,3,1,5] => [1,2,4,3,6,5] => 2
[2,4,6,3,1,7,5] => [2,4,6,3,1,5] => [1,2,4,3,6,5] => 2
[2,4,6,3,5,1,7] => [2,4,6,3,5,1] => [1,2,4,3,6,5] => 2
[2,4,6,3,5,7,1] => [2,4,6,3,5,1] => [1,2,4,3,6,5] => 2
[2,4,6,3,7,1,5] => [2,4,6,3,1,5] => [1,2,4,3,6,5] => 2
[2,4,6,3,7,5,1] => [2,4,6,3,5,1] => [1,2,4,3,6,5] => 2
[2,4,6,5,1,3,7] => [2,4,6,5,1,3] => [1,2,4,5,3,6] => 1
[2,4,6,5,1,7,3] => [2,4,6,5,1,3] => [1,2,4,5,3,6] => 1
[2,4,6,5,3,1,7] => [2,4,6,5,3,1] => [1,2,4,5,3,6] => 1
[2,4,6,5,3,7,1] => [2,4,6,5,3,1] => [1,2,4,5,3,6] => 1
[2,4,6,5,7,1,3] => [2,4,6,5,1,3] => [1,2,4,5,3,6] => 1
[2,4,6,5,7,3,1] => [2,4,6,5,3,1] => [1,2,4,5,3,6] => 1
[2,4,6,7,1,3,5] => [2,4,6,1,3,5] => [1,2,4,3,6,5] => 2
[2,4,6,7,1,5,3] => [2,4,6,1,5,3] => [1,2,4,3,6,5] => 2
[2,4,6,7,3,1,5] => [2,4,6,3,1,5] => [1,2,4,3,6,5] => 2
[2,4,6,7,3,5,1] => [2,4,6,3,5,1] => [1,2,4,3,6,5] => 2
[2,4,6,7,5,1,3] => [2,4,6,5,1,3] => [1,2,4,5,3,6] => 1
[2,4,6,7,5,3,1] => [2,4,6,5,3,1] => [1,2,4,5,3,6] => 1
[2,4,7,1,3,5,6] => [2,4,1,3,5,6] => [1,2,4,3,5,6] => 1
[2,4,7,1,3,6,5] => [2,4,1,3,6,5] => [1,2,4,3,5,6] => 1
[2,4,7,1,5,3,6] => [2,4,1,5,3,6] => [1,2,4,5,3,6] => 1
[2,4,7,1,5,6,3] => [2,4,1,5,6,3] => [1,2,4,5,6,3] => 1
[2,4,7,1,6,3,5] => [2,4,1,6,3,5] => [1,2,4,6,5,3] => 1
[2,4,7,1,6,5,3] => [2,4,1,6,5,3] => [1,2,4,6,3,5] => 1
[2,4,7,3,1,5,6] => [2,4,3,1,5,6] => [1,2,4,3,5,6] => 1
[2,4,7,3,1,6,5] => [2,4,3,1,6,5] => [1,2,4,3,5,6] => 1
[2,4,7,3,5,1,6] => [2,4,3,5,1,6] => [1,2,4,5,3,6] => 1
[2,4,7,3,5,6,1] => [2,4,3,5,6,1] => [1,2,4,5,6,3] => 1
[2,4,7,3,6,1,5] => [2,4,3,6,1,5] => [1,2,4,6,5,3] => 1
[2,4,7,3,6,5,1] => [2,4,3,6,5,1] => [1,2,4,6,3,5] => 1
[2,4,7,5,1,3,6] => [2,4,5,1,3,6] => [1,2,4,3,5,6] => 1
[2,4,7,5,1,6,3] => [2,4,5,1,6,3] => [1,2,4,3,5,6] => 1
[2,4,7,5,3,1,6] => [2,4,5,3,1,6] => [1,2,4,3,5,6] => 1
[2,4,7,5,3,6,1] => [2,4,5,3,6,1] => [1,2,4,3,5,6] => 1
[2,4,7,5,6,1,3] => [2,4,5,6,1,3] => [1,2,4,6,3,5] => 1
[2,4,7,5,6,3,1] => [2,4,5,6,3,1] => [1,2,4,6,3,5] => 1
[2,4,7,6,1,3,5] => [2,4,6,1,3,5] => [1,2,4,3,6,5] => 2
[2,4,7,6,1,5,3] => [2,4,6,1,5,3] => [1,2,4,3,6,5] => 2
[2,4,7,6,3,1,5] => [2,4,6,3,1,5] => [1,2,4,3,6,5] => 2
[2,4,7,6,3,5,1] => [2,4,6,3,5,1] => [1,2,4,3,6,5] => 2
[2,4,7,6,5,1,3] => [2,4,6,5,1,3] => [1,2,4,5,3,6] => 1
[2,4,7,6,5,3,1] => [2,4,6,5,3,1] => [1,2,4,5,3,6] => 1
[2,5,1,3,4,6,7] => [2,5,1,3,4,6] => [1,2,5,4,3,6] => 1
[2,5,1,3,4,7,6] => [2,5,1,3,4,6] => [1,2,5,4,3,6] => 1
[2,5,1,3,6,4,7] => [2,5,1,3,6,4] => [1,2,5,6,4,3] => 1
[2,5,1,3,6,7,4] => [2,5,1,3,6,4] => [1,2,5,6,4,3] => 1
[2,5,1,3,7,4,6] => [2,5,1,3,4,6] => [1,2,5,4,3,6] => 1
[2,5,1,3,7,6,4] => [2,5,1,3,6,4] => [1,2,5,6,4,3] => 1
[2,5,1,4,3,6,7] => [2,5,1,4,3,6] => [1,2,5,3,4,6] => 1
[2,5,1,4,3,7,6] => [2,5,1,4,3,6] => [1,2,5,3,4,6] => 1
[2,5,1,4,6,3,7] => [2,5,1,4,6,3] => [1,2,5,6,3,4] => 1
[2,5,1,4,6,7,3] => [2,5,1,4,6,3] => [1,2,5,6,3,4] => 1
[2,5,1,4,7,3,6] => [2,5,1,4,3,6] => [1,2,5,3,4,6] => 1
[2,5,1,4,7,6,3] => [2,5,1,4,6,3] => [1,2,5,6,3,4] => 1
[2,5,1,6,3,4,7] => [2,5,1,6,3,4] => [1,2,5,3,4,6] => 1
[2,5,1,6,3,7,4] => [2,5,1,6,3,4] => [1,2,5,3,4,6] => 1
[2,5,1,6,4,3,7] => [2,5,1,6,4,3] => [1,2,5,4,6,3] => 2
[2,5,1,6,4,7,3] => [2,5,1,6,4,3] => [1,2,5,4,6,3] => 2
[2,5,1,6,7,3,4] => [2,5,1,6,3,4] => [1,2,5,3,4,6] => 1
[2,5,1,6,7,4,3] => [2,5,1,6,4,3] => [1,2,5,4,6,3] => 2
[2,5,1,7,3,4,6] => [2,5,1,3,4,6] => [1,2,5,4,3,6] => 1
[2,5,1,7,3,6,4] => [2,5,1,3,6,4] => [1,2,5,6,4,3] => 1
[2,5,1,7,4,3,6] => [2,5,1,4,3,6] => [1,2,5,3,4,6] => 1
[2,5,1,7,4,6,3] => [2,5,1,4,6,3] => [1,2,5,6,3,4] => 1
[2,5,1,7,6,3,4] => [2,5,1,6,3,4] => [1,2,5,3,4,6] => 1
[2,5,1,7,6,4,3] => [2,5,1,6,4,3] => [1,2,5,4,6,3] => 2
[2,5,3,1,4,6,7] => [2,5,3,1,4,6] => [1,2,5,4,3,6] => 1
[2,5,3,1,4,7,6] => [2,5,3,1,4,6] => [1,2,5,4,3,6] => 1
[2,5,3,1,6,4,7] => [2,5,3,1,6,4] => [1,2,5,6,4,3] => 1
[2,5,3,1,6,7,4] => [2,5,3,1,6,4] => [1,2,5,6,4,3] => 1
[2,5,3,1,7,4,6] => [2,5,3,1,4,6] => [1,2,5,4,3,6] => 1
[2,5,3,1,7,6,4] => [2,5,3,1,6,4] => [1,2,5,6,4,3] => 1
[2,5,3,4,1,6,7] => [2,5,3,4,1,6] => [1,2,5,3,4,6] => 1
[2,5,3,4,1,7,6] => [2,5,3,4,1,6] => [1,2,5,3,4,6] => 1
[2,5,3,4,6,1,7] => [2,5,3,4,6,1] => [1,2,5,6,3,4] => 1
[2,5,3,4,6,7,1] => [2,5,3,4,6,1] => [1,2,5,6,3,4] => 1
[2,5,3,4,7,1,6] => [2,5,3,4,1,6] => [1,2,5,3,4,6] => 1
[2,5,3,4,7,6,1] => [2,5,3,4,6,1] => [1,2,5,6,3,4] => 1
[2,5,3,6,1,4,7] => [2,5,3,6,1,4] => [1,2,5,3,4,6] => 1
[2,5,3,6,1,7,4] => [2,5,3,6,1,4] => [1,2,5,3,4,6] => 1
[2,5,3,6,4,1,7] => [2,5,3,6,4,1] => [1,2,5,4,6,3] => 2
[2,5,3,6,4,7,1] => [2,5,3,6,4,1] => [1,2,5,4,6,3] => 2
[2,5,3,6,7,1,4] => [2,5,3,6,1,4] => [1,2,5,3,4,6] => 1
[2,5,3,6,7,4,1] => [2,5,3,6,4,1] => [1,2,5,4,6,3] => 2
[2,5,3,7,1,4,6] => [2,5,3,1,4,6] => [1,2,5,4,3,6] => 1
[2,5,3,7,1,6,4] => [2,5,3,1,6,4] => [1,2,5,6,4,3] => 1
[2,5,3,7,4,1,6] => [2,5,3,4,1,6] => [1,2,5,3,4,6] => 1
[2,5,3,7,4,6,1] => [2,5,3,4,6,1] => [1,2,5,6,3,4] => 1
[2,5,3,7,6,1,4] => [2,5,3,6,1,4] => [1,2,5,3,4,6] => 1
[2,5,3,7,6,4,1] => [2,5,3,6,4,1] => [1,2,5,4,6,3] => 2
[2,5,4,1,3,6,7] => [2,5,4,1,3,6] => [1,2,5,3,4,6] => 1
[2,5,4,1,3,7,6] => [2,5,4,1,3,6] => [1,2,5,3,4,6] => 1
[2,5,4,1,6,3,7] => [2,5,4,1,6,3] => [1,2,5,6,3,4] => 1
[2,5,4,1,6,7,3] => [2,5,4,1,6,3] => [1,2,5,6,3,4] => 1
[2,5,4,1,7,3,6] => [2,5,4,1,3,6] => [1,2,5,3,4,6] => 1
[2,5,4,1,7,6,3] => [2,5,4,1,6,3] => [1,2,5,6,3,4] => 1
[2,5,4,3,1,6,7] => [2,5,4,3,1,6] => [1,2,5,3,4,6] => 1
[2,5,4,3,1,7,6] => [2,5,4,3,1,6] => [1,2,5,3,4,6] => 1
[2,5,4,3,6,1,7] => [2,5,4,3,6,1] => [1,2,5,6,3,4] => 1
[2,5,4,3,6,7,1] => [2,5,4,3,6,1] => [1,2,5,6,3,4] => 1
[2,5,4,3,7,1,6] => [2,5,4,3,1,6] => [1,2,5,3,4,6] => 1
[2,5,4,3,7,6,1] => [2,5,4,3,6,1] => [1,2,5,6,3,4] => 1
[2,5,4,6,1,3,7] => [2,5,4,6,1,3] => [1,2,5,3,4,6] => 1
[2,5,4,6,1,7,3] => [2,5,4,6,1,3] => [1,2,5,3,4,6] => 1
[2,5,4,6,3,1,7] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 1
[2,5,4,6,3,7,1] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 1
[2,5,4,6,7,1,3] => [2,5,4,6,1,3] => [1,2,5,3,4,6] => 1
[2,5,4,6,7,3,1] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 1
[2,5,4,7,1,3,6] => [2,5,4,1,3,6] => [1,2,5,3,4,6] => 1
[2,5,4,7,1,6,3] => [2,5,4,1,6,3] => [1,2,5,6,3,4] => 1
[2,5,4,7,3,1,6] => [2,5,4,3,1,6] => [1,2,5,3,4,6] => 1
[2,5,4,7,3,6,1] => [2,5,4,3,6,1] => [1,2,5,6,3,4] => 1
[2,5,4,7,6,1,3] => [2,5,4,6,1,3] => [1,2,5,3,4,6] => 1
[2,5,4,7,6,3,1] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 1
[2,5,6,1,3,4,7] => [2,5,6,1,3,4] => [1,2,5,3,6,4] => 2
[2,5,6,1,3,7,4] => [2,5,6,1,3,4] => [1,2,5,3,6,4] => 2
[2,5,6,1,4,3,7] => [2,5,6,1,4,3] => [1,2,5,4,3,6] => 1
[2,5,6,1,4,7,3] => [2,5,6,1,4,3] => [1,2,5,4,3,6] => 1
[2,5,6,1,7,3,4] => [2,5,6,1,3,4] => [1,2,5,3,6,4] => 2
[2,5,6,1,7,4,3] => [2,5,6,1,4,3] => [1,2,5,4,3,6] => 1
[2,5,6,3,1,4,7] => [2,5,6,3,1,4] => [1,2,5,3,6,4] => 2
[2,5,6,3,1,7,4] => [2,5,6,3,1,4] => [1,2,5,3,6,4] => 2
[2,5,6,3,4,1,7] => [2,5,6,3,4,1] => [1,2,5,4,3,6] => 1
[2,5,6,3,4,7,1] => [2,5,6,3,4,1] => [1,2,5,4,3,6] => 1
[2,5,6,3,7,1,4] => [2,5,6,3,1,4] => [1,2,5,3,6,4] => 2
[2,5,6,3,7,4,1] => [2,5,6,3,4,1] => [1,2,5,4,3,6] => 1
[2,5,6,4,1,3,7] => [2,5,6,4,1,3] => [1,2,5,3,6,4] => 2
[2,5,6,4,1,7,3] => [2,5,6,4,1,3] => [1,2,5,3,6,4] => 2
[2,5,6,4,3,1,7] => [2,5,6,4,3,1] => [1,2,5,3,6,4] => 2
[2,5,6,4,3,7,1] => [2,5,6,4,3,1] => [1,2,5,3,6,4] => 2
[2,5,6,4,7,1,3] => [2,5,6,4,1,3] => [1,2,5,3,6,4] => 2
[2,5,6,4,7,3,1] => [2,5,6,4,3,1] => [1,2,5,3,6,4] => 2
[2,5,6,7,1,3,4] => [2,5,6,1,3,4] => [1,2,5,3,6,4] => 2
[2,5,6,7,1,4,3] => [2,5,6,1,4,3] => [1,2,5,4,3,6] => 1
[2,5,6,7,3,1,4] => [2,5,6,3,1,4] => [1,2,5,3,6,4] => 2
[2,5,6,7,3,4,1] => [2,5,6,3,4,1] => [1,2,5,4,3,6] => 1
[2,5,6,7,4,1,3] => [2,5,6,4,1,3] => [1,2,5,3,6,4] => 2
[2,5,6,7,4,3,1] => [2,5,6,4,3,1] => [1,2,5,3,6,4] => 2
[2,5,7,1,3,4,6] => [2,5,1,3,4,6] => [1,2,5,4,3,6] => 1
[2,5,7,1,3,6,4] => [2,5,1,3,6,4] => [1,2,5,6,4,3] => 1
[2,5,7,1,4,3,6] => [2,5,1,4,3,6] => [1,2,5,3,4,6] => 1
[2,5,7,1,4,6,3] => [2,5,1,4,6,3] => [1,2,5,6,3,4] => 1
[2,5,7,1,6,3,4] => [2,5,1,6,3,4] => [1,2,5,3,4,6] => 1
[2,5,7,1,6,4,3] => [2,5,1,6,4,3] => [1,2,5,4,6,3] => 2
[2,5,7,3,1,4,6] => [2,5,3,1,4,6] => [1,2,5,4,3,6] => 1
[2,5,7,3,1,6,4] => [2,5,3,1,6,4] => [1,2,5,6,4,3] => 1
[2,5,7,3,4,1,6] => [2,5,3,4,1,6] => [1,2,5,3,4,6] => 1
[2,5,7,3,4,6,1] => [2,5,3,4,6,1] => [1,2,5,6,3,4] => 1
[2,5,7,3,6,1,4] => [2,5,3,6,1,4] => [1,2,5,3,4,6] => 1
[2,5,7,3,6,4,1] => [2,5,3,6,4,1] => [1,2,5,4,6,3] => 2
[2,5,7,4,1,3,6] => [2,5,4,1,3,6] => [1,2,5,3,4,6] => 1
[2,5,7,4,1,6,3] => [2,5,4,1,6,3] => [1,2,5,6,3,4] => 1
[2,5,7,4,3,1,6] => [2,5,4,3,1,6] => [1,2,5,3,4,6] => 1
[2,5,7,4,3,6,1] => [2,5,4,3,6,1] => [1,2,5,6,3,4] => 1
[2,5,7,4,6,1,3] => [2,5,4,6,1,3] => [1,2,5,3,4,6] => 1
[2,5,7,4,6,3,1] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 1
[2,5,7,6,1,3,4] => [2,5,6,1,3,4] => [1,2,5,3,6,4] => 2
[2,5,7,6,1,4,3] => [2,5,6,1,4,3] => [1,2,5,4,3,6] => 1
[2,5,7,6,3,1,4] => [2,5,6,3,1,4] => [1,2,5,3,6,4] => 2
[2,5,7,6,3,4,1] => [2,5,6,3,4,1] => [1,2,5,4,3,6] => 1
[2,5,7,6,4,1,3] => [2,5,6,4,1,3] => [1,2,5,3,6,4] => 2
[2,5,7,6,4,3,1] => [2,5,6,4,3,1] => [1,2,5,3,6,4] => 2
[2,6,1,3,4,5,7] => [2,6,1,3,4,5] => [1,2,6,5,4,3] => 1
[2,6,1,3,4,7,5] => [2,6,1,3,4,5] => [1,2,6,5,4,3] => 1
[2,6,1,3,5,4,7] => [2,6,1,3,5,4] => [1,2,6,4,3,5] => 1
[2,6,1,3,5,7,4] => [2,6,1,3,5,4] => [1,2,6,4,3,5] => 1
[2,6,1,3,7,4,5] => [2,6,1,3,4,5] => [1,2,6,5,4,3] => 1
[2,6,1,3,7,5,4] => [2,6,1,3,5,4] => [1,2,6,4,3,5] => 1
[2,6,1,4,3,5,7] => [2,6,1,4,3,5] => [1,2,6,5,3,4] => 1
[2,6,1,4,3,7,5] => [2,6,1,4,3,5] => [1,2,6,5,3,4] => 1
[2,6,1,4,5,3,7] => [2,6,1,4,5,3] => [1,2,6,3,4,5] => 1
[2,6,1,4,5,7,3] => [2,6,1,4,5,3] => [1,2,6,3,4,5] => 1
[2,6,1,4,7,3,5] => [2,6,1,4,3,5] => [1,2,6,5,3,4] => 1
[2,6,1,4,7,5,3] => [2,6,1,4,5,3] => [1,2,6,3,4,5] => 1
[2,6,1,5,3,4,7] => [2,6,1,5,3,4] => [1,2,6,4,5,3] => 2
[2,6,1,5,3,7,4] => [2,6,1,5,3,4] => [1,2,6,4,5,3] => 2
[2,6,1,5,4,3,7] => [2,6,1,5,4,3] => [1,2,6,3,4,5] => 1
[2,6,1,5,4,7,3] => [2,6,1,5,4,3] => [1,2,6,3,4,5] => 1
[2,6,1,5,7,3,4] => [2,6,1,5,3,4] => [1,2,6,4,5,3] => 2
[2,6,1,5,7,4,3] => [2,6,1,5,4,3] => [1,2,6,3,4,5] => 1
[2,6,1,7,3,4,5] => [2,6,1,3,4,5] => [1,2,6,5,4,3] => 1
[2,6,1,7,3,5,4] => [2,6,1,3,5,4] => [1,2,6,4,3,5] => 1
[2,6,1,7,4,3,5] => [2,6,1,4,3,5] => [1,2,6,5,3,4] => 1
[2,6,1,7,4,5,3] => [2,6,1,4,5,3] => [1,2,6,3,4,5] => 1
[2,6,1,7,5,3,4] => [2,6,1,5,3,4] => [1,2,6,4,5,3] => 2
[2,6,1,7,5,4,3] => [2,6,1,5,4,3] => [1,2,6,3,4,5] => 1
[2,6,3,1,4,5,7] => [2,6,3,1,4,5] => [1,2,6,5,4,3] => 1
[2,6,3,1,4,7,5] => [2,6,3,1,4,5] => [1,2,6,5,4,3] => 1
[2,6,3,1,5,4,7] => [2,6,3,1,5,4] => [1,2,6,4,3,5] => 1
[2,6,3,1,5,7,4] => [2,6,3,1,5,4] => [1,2,6,4,3,5] => 1
[2,6,3,1,7,4,5] => [2,6,3,1,4,5] => [1,2,6,5,4,3] => 1
[2,6,3,1,7,5,4] => [2,6,3,1,5,4] => [1,2,6,4,3,5] => 1
[2,6,3,4,1,5,7] => [2,6,3,4,1,5] => [1,2,6,5,3,4] => 1
[2,6,3,4,1,7,5] => [2,6,3,4,1,5] => [1,2,6,5,3,4] => 1
[2,6,3,4,5,1,7] => [2,6,3,4,5,1] => [1,2,6,3,4,5] => 1
[2,6,3,4,5,7,1] => [2,6,3,4,5,1] => [1,2,6,3,4,5] => 1
[2,6,3,4,7,1,5] => [2,6,3,4,1,5] => [1,2,6,5,3,4] => 1
[2,6,3,4,7,5,1] => [2,6,3,4,5,1] => [1,2,6,3,4,5] => 1
[2,6,3,5,1,4,7] => [2,6,3,5,1,4] => [1,2,6,4,5,3] => 2
[2,6,3,5,1,7,4] => [2,6,3,5,1,4] => [1,2,6,4,5,3] => 2
[2,6,3,5,4,1,7] => [2,6,3,5,4,1] => [1,2,6,3,4,5] => 1
[2,6,3,5,4,7,1] => [2,6,3,5,4,1] => [1,2,6,3,4,5] => 1
[2,6,3,5,7,1,4] => [2,6,3,5,1,4] => [1,2,6,4,5,3] => 2
[2,6,3,5,7,4,1] => [2,6,3,5,4,1] => [1,2,6,3,4,5] => 1
[2,6,3,7,1,4,5] => [2,6,3,1,4,5] => [1,2,6,5,4,3] => 1
[2,6,3,7,1,5,4] => [2,6,3,1,5,4] => [1,2,6,4,3,5] => 1
[2,6,3,7,4,1,5] => [2,6,3,4,1,5] => [1,2,6,5,3,4] => 1
[2,6,3,7,4,5,1] => [2,6,3,4,5,1] => [1,2,6,3,4,5] => 1
[2,6,3,7,5,1,4] => [2,6,3,5,1,4] => [1,2,6,4,5,3] => 2
[2,6,3,7,5,4,1] => [2,6,3,5,4,1] => [1,2,6,3,4,5] => 1
[2,6,4,1,3,5,7] => [2,6,4,1,3,5] => [1,2,6,5,3,4] => 1
[2,6,4,1,3,7,5] => [2,6,4,1,3,5] => [1,2,6,5,3,4] => 1
[2,6,4,1,5,3,7] => [2,6,4,1,5,3] => [1,2,6,3,4,5] => 1
[2,6,4,1,5,7,3] => [2,6,4,1,5,3] => [1,2,6,3,4,5] => 1
[2,6,4,1,7,3,5] => [2,6,4,1,3,5] => [1,2,6,5,3,4] => 1
[2,6,4,1,7,5,3] => [2,6,4,1,5,3] => [1,2,6,3,4,5] => 1
[2,6,4,3,1,5,7] => [2,6,4,3,1,5] => [1,2,6,5,3,4] => 1
[2,6,4,3,1,7,5] => [2,6,4,3,1,5] => [1,2,6,5,3,4] => 1
[2,6,4,3,5,1,7] => [2,6,4,3,5,1] => [1,2,6,3,4,5] => 1
[2,6,4,3,5,7,1] => [2,6,4,3,5,1] => [1,2,6,3,4,5] => 1
[2,6,4,3,7,1,5] => [2,6,4,3,1,5] => [1,2,6,5,3,4] => 1
[2,6,4,3,7,5,1] => [2,6,4,3,5,1] => [1,2,6,3,4,5] => 1
[2,6,4,5,1,3,7] => [2,6,4,5,1,3] => [1,2,6,3,4,5] => 1
[2,6,4,5,1,7,3] => [2,6,4,5,1,3] => [1,2,6,3,4,5] => 1
[2,6,4,5,3,1,7] => [2,6,4,5,3,1] => [1,2,6,3,4,5] => 1
[2,6,4,5,3,7,1] => [2,6,4,5,3,1] => [1,2,6,3,4,5] => 1
[2,6,4,5,7,1,3] => [2,6,4,5,1,3] => [1,2,6,3,4,5] => 1
[2,6,4,5,7,3,1] => [2,6,4,5,3,1] => [1,2,6,3,4,5] => 1
[2,6,4,7,1,3,5] => [2,6,4,1,3,5] => [1,2,6,5,3,4] => 1
[2,6,4,7,1,5,3] => [2,6,4,1,5,3] => [1,2,6,3,4,5] => 1
[2,6,4,7,3,1,5] => [2,6,4,3,1,5] => [1,2,6,5,3,4] => 1
[2,6,4,7,3,5,1] => [2,6,4,3,5,1] => [1,2,6,3,4,5] => 1
[2,6,4,7,5,1,3] => [2,6,4,5,1,3] => [1,2,6,3,4,5] => 1
[2,6,4,7,5,3,1] => [2,6,4,5,3,1] => [1,2,6,3,4,5] => 1
[2,6,5,1,3,4,7] => [2,6,5,1,3,4] => [1,2,6,4,3,5] => 1
[2,6,5,1,3,7,4] => [2,6,5,1,3,4] => [1,2,6,4,3,5] => 1
[2,6,5,1,4,3,7] => [2,6,5,1,4,3] => [1,2,6,3,5,4] => 2
[2,6,5,1,4,7,3] => [2,6,5,1,4,3] => [1,2,6,3,5,4] => 2
[2,6,5,1,7,3,4] => [2,6,5,1,3,4] => [1,2,6,4,3,5] => 1
[2,6,5,1,7,4,3] => [2,6,5,1,4,3] => [1,2,6,3,5,4] => 2
[2,6,5,3,1,4,7] => [2,6,5,3,1,4] => [1,2,6,4,3,5] => 1
[2,6,5,3,1,7,4] => [2,6,5,3,1,4] => [1,2,6,4,3,5] => 1
[2,6,5,3,4,1,7] => [2,6,5,3,4,1] => [1,2,6,3,5,4] => 2
[2,6,5,3,4,7,1] => [2,6,5,3,4,1] => [1,2,6,3,5,4] => 2
[2,6,5,3,7,1,4] => [2,6,5,3,1,4] => [1,2,6,4,3,5] => 1
[2,6,5,3,7,4,1] => [2,6,5,3,4,1] => [1,2,6,3,5,4] => 2
[2,6,5,4,1,3,7] => [2,6,5,4,1,3] => [1,2,6,3,5,4] => 2
[2,6,5,4,1,7,3] => [2,6,5,4,1,3] => [1,2,6,3,5,4] => 2
[2,6,5,4,3,1,7] => [2,6,5,4,3,1] => [1,2,6,3,5,4] => 2
[2,6,5,4,3,7,1] => [2,6,5,4,3,1] => [1,2,6,3,5,4] => 2
[2,6,5,4,7,1,3] => [2,6,5,4,1,3] => [1,2,6,3,5,4] => 2
[2,6,5,4,7,3,1] => [2,6,5,4,3,1] => [1,2,6,3,5,4] => 2
[2,6,5,7,1,3,4] => [2,6,5,1,3,4] => [1,2,6,4,3,5] => 1
[2,6,5,7,1,4,3] => [2,6,5,1,4,3] => [1,2,6,3,5,4] => 2
[2,6,5,7,3,1,4] => [2,6,5,3,1,4] => [1,2,6,4,3,5] => 1
[2,6,5,7,3,4,1] => [2,6,5,3,4,1] => [1,2,6,3,5,4] => 2
[2,6,5,7,4,1,3] => [2,6,5,4,1,3] => [1,2,6,3,5,4] => 2
[2,6,5,7,4,3,1] => [2,6,5,4,3,1] => [1,2,6,3,5,4] => 2
[2,6,7,1,3,4,5] => [2,6,1,3,4,5] => [1,2,6,5,4,3] => 1
[2,6,7,1,3,5,4] => [2,6,1,3,5,4] => [1,2,6,4,3,5] => 1
[2,6,7,1,4,3,5] => [2,6,1,4,3,5] => [1,2,6,5,3,4] => 1
[2,6,7,1,4,5,3] => [2,6,1,4,5,3] => [1,2,6,3,4,5] => 1
[2,6,7,1,5,3,4] => [2,6,1,5,3,4] => [1,2,6,4,5,3] => 2
[2,6,7,1,5,4,3] => [2,6,1,5,4,3] => [1,2,6,3,4,5] => 1
[2,6,7,3,1,4,5] => [2,6,3,1,4,5] => [1,2,6,5,4,3] => 1
[2,6,7,3,1,5,4] => [2,6,3,1,5,4] => [1,2,6,4,3,5] => 1
[2,6,7,3,4,1,5] => [2,6,3,4,1,5] => [1,2,6,5,3,4] => 1
[2,6,7,3,4,5,1] => [2,6,3,4,5,1] => [1,2,6,3,4,5] => 1
[2,6,7,3,5,1,4] => [2,6,3,5,1,4] => [1,2,6,4,5,3] => 2
[2,6,7,3,5,4,1] => [2,6,3,5,4,1] => [1,2,6,3,4,5] => 1
[2,6,7,4,1,3,5] => [2,6,4,1,3,5] => [1,2,6,5,3,4] => 1
[2,6,7,4,1,5,3] => [2,6,4,1,5,3] => [1,2,6,3,4,5] => 1
[2,6,7,4,3,1,5] => [2,6,4,3,1,5] => [1,2,6,5,3,4] => 1
[2,6,7,4,3,5,1] => [2,6,4,3,5,1] => [1,2,6,3,4,5] => 1
[2,6,7,4,5,1,3] => [2,6,4,5,1,3] => [1,2,6,3,4,5] => 1
[2,6,7,4,5,3,1] => [2,6,4,5,3,1] => [1,2,6,3,4,5] => 1
[2,6,7,5,1,3,4] => [2,6,5,1,3,4] => [1,2,6,4,3,5] => 1
[2,6,7,5,1,4,3] => [2,6,5,1,4,3] => [1,2,6,3,5,4] => 2
[2,6,7,5,3,1,4] => [2,6,5,3,1,4] => [1,2,6,4,3,5] => 1
[2,6,7,5,3,4,1] => [2,6,5,3,4,1] => [1,2,6,3,5,4] => 2
[2,6,7,5,4,1,3] => [2,6,5,4,1,3] => [1,2,6,3,5,4] => 2
[2,6,7,5,4,3,1] => [2,6,5,4,3,1] => [1,2,6,3,5,4] => 2
[2,7,1,3,4,5,6] => [2,1,3,4,5,6] => [1,2,3,4,5,6] => 0
[2,7,1,3,4,6,5] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => 0
[2,7,1,3,5,4,6] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => 0
[2,7,1,3,5,6,4] => [2,1,3,5,6,4] => [1,2,3,4,5,6] => 0
[2,7,1,3,6,4,5] => [2,1,3,6,4,5] => [1,2,3,4,6,5] => 1
[2,7,1,3,6,5,4] => [2,1,3,6,5,4] => [1,2,3,4,6,5] => 1
[2,7,1,4,3,5,6] => [2,1,4,3,5,6] => [1,2,3,4,5,6] => 0
[2,7,1,4,3,6,5] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => 0
[2,7,1,4,5,3,6] => [2,1,4,5,3,6] => [1,2,3,4,5,6] => 0
[2,7,1,4,5,6,3] => [2,1,4,5,6,3] => [1,2,3,4,5,6] => 0
[2,7,1,4,6,3,5] => [2,1,4,6,3,5] => [1,2,3,4,6,5] => 1
[2,7,1,4,6,5,3] => [2,1,4,6,5,3] => [1,2,3,4,6,5] => 1
[2,7,1,5,3,4,6] => [2,1,5,3,4,6] => [1,2,3,5,4,6] => 1
[2,7,1,5,3,6,4] => [2,1,5,3,6,4] => [1,2,3,5,6,4] => 1
[2,7,1,5,4,3,6] => [2,1,5,4,3,6] => [1,2,3,5,4,6] => 1
[2,7,1,5,4,6,3] => [2,1,5,4,6,3] => [1,2,3,5,6,4] => 1
[2,7,1,5,6,3,4] => [2,1,5,6,3,4] => [1,2,3,5,4,6] => 1
[2,7,1,5,6,4,3] => [2,1,5,6,4,3] => [1,2,3,5,4,6] => 1
[2,7,1,6,3,4,5] => [2,1,6,3,4,5] => [1,2,3,6,5,4] => 1
[2,7,1,6,3,5,4] => [2,1,6,3,5,4] => [1,2,3,6,4,5] => 1
[2,7,1,6,4,3,5] => [2,1,6,4,3,5] => [1,2,3,6,5,4] => 1
[2,7,1,6,4,5,3] => [2,1,6,4,5,3] => [1,2,3,6,4,5] => 1
[2,7,1,6,5,3,4] => [2,1,6,5,3,4] => [1,2,3,6,4,5] => 1
[2,7,1,6,5,4,3] => [2,1,6,5,4,3] => [1,2,3,6,4,5] => 1
[2,7,3,1,4,5,6] => [2,3,1,4,5,6] => [1,2,3,4,5,6] => 0
[2,7,3,1,4,6,5] => [2,3,1,4,6,5] => [1,2,3,4,5,6] => 0
[2,7,3,1,5,4,6] => [2,3,1,5,4,6] => [1,2,3,4,5,6] => 0
[2,7,3,1,5,6,4] => [2,3,1,5,6,4] => [1,2,3,4,5,6] => 0
[2,7,3,1,6,4,5] => [2,3,1,6,4,5] => [1,2,3,4,6,5] => 1
[2,7,3,1,6,5,4] => [2,3,1,6,5,4] => [1,2,3,4,6,5] => 1
[2,7,3,4,1,5,6] => [2,3,4,1,5,6] => [1,2,3,4,5,6] => 0
[2,7,3,4,1,6,5] => [2,3,4,1,6,5] => [1,2,3,4,5,6] => 0
[2,7,3,4,5,1,6] => [2,3,4,5,1,6] => [1,2,3,4,5,6] => 0
[2,7,3,4,5,6,1] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 0
[2,7,3,4,6,1,5] => [2,3,4,6,1,5] => [1,2,3,4,6,5] => 1
[2,7,3,4,6,5,1] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 1
[2,7,3,5,1,4,6] => [2,3,5,1,4,6] => [1,2,3,5,4,6] => 1
[2,7,3,5,1,6,4] => [2,3,5,1,6,4] => [1,2,3,5,6,4] => 1
[2,7,3,5,4,1,6] => [2,3,5,4,1,6] => [1,2,3,5,4,6] => 1
[2,7,3,5,4,6,1] => [2,3,5,4,6,1] => [1,2,3,5,6,4] => 1
[2,7,3,5,6,1,4] => [2,3,5,6,1,4] => [1,2,3,5,4,6] => 1
[2,7,3,5,6,4,1] => [2,3,5,6,4,1] => [1,2,3,5,4,6] => 1
[2,7,3,6,1,4,5] => [2,3,6,1,4,5] => [1,2,3,6,5,4] => 1
[2,7,3,6,1,5,4] => [2,3,6,1,5,4] => [1,2,3,6,4,5] => 1
[2,7,3,6,4,1,5] => [2,3,6,4,1,5] => [1,2,3,6,5,4] => 1
[2,7,3,6,4,5,1] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 1
[2,7,3,6,5,1,4] => [2,3,6,5,1,4] => [1,2,3,6,4,5] => 1
[2,7,3,6,5,4,1] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 1
[2,7,4,1,3,5,6] => [2,4,1,3,5,6] => [1,2,4,3,5,6] => 1
[2,7,4,1,3,6,5] => [2,4,1,3,6,5] => [1,2,4,3,5,6] => 1
[2,7,4,1,5,3,6] => [2,4,1,5,3,6] => [1,2,4,5,3,6] => 1
[2,7,4,1,5,6,3] => [2,4,1,5,6,3] => [1,2,4,5,6,3] => 1
[2,7,4,1,6,3,5] => [2,4,1,6,3,5] => [1,2,4,6,5,3] => 1
[2,7,4,1,6,5,3] => [2,4,1,6,5,3] => [1,2,4,6,3,5] => 1
[2,7,4,3,1,5,6] => [2,4,3,1,5,6] => [1,2,4,3,5,6] => 1
[2,7,4,3,1,6,5] => [2,4,3,1,6,5] => [1,2,4,3,5,6] => 1
[2,7,4,3,5,1,6] => [2,4,3,5,1,6] => [1,2,4,5,3,6] => 1
[2,7,4,3,5,6,1] => [2,4,3,5,6,1] => [1,2,4,5,6,3] => 1
[2,7,4,3,6,1,5] => [2,4,3,6,1,5] => [1,2,4,6,5,3] => 1
[2,7,4,3,6,5,1] => [2,4,3,6,5,1] => [1,2,4,6,3,5] => 1
[2,7,4,5,1,3,6] => [2,4,5,1,3,6] => [1,2,4,3,5,6] => 1
[2,7,4,5,1,6,3] => [2,4,5,1,6,3] => [1,2,4,3,5,6] => 1
[2,7,4,5,3,1,6] => [2,4,5,3,1,6] => [1,2,4,3,5,6] => 1
[2,7,4,5,3,6,1] => [2,4,5,3,6,1] => [1,2,4,3,5,6] => 1
[2,7,4,5,6,1,3] => [2,4,5,6,1,3] => [1,2,4,6,3,5] => 1
[2,7,4,5,6,3,1] => [2,4,5,6,3,1] => [1,2,4,6,3,5] => 1
[2,7,4,6,1,3,5] => [2,4,6,1,3,5] => [1,2,4,3,6,5] => 2
[2,7,4,6,1,5,3] => [2,4,6,1,5,3] => [1,2,4,3,6,5] => 2
[2,7,4,6,3,1,5] => [2,4,6,3,1,5] => [1,2,4,3,6,5] => 2
[2,7,4,6,3,5,1] => [2,4,6,3,5,1] => [1,2,4,3,6,5] => 2
[2,7,4,6,5,1,3] => [2,4,6,5,1,3] => [1,2,4,5,3,6] => 1
[2,7,4,6,5,3,1] => [2,4,6,5,3,1] => [1,2,4,5,3,6] => 1
[2,7,5,1,3,4,6] => [2,5,1,3,4,6] => [1,2,5,4,3,6] => 1
[2,7,5,1,3,6,4] => [2,5,1,3,6,4] => [1,2,5,6,4,3] => 1
[2,7,5,1,4,3,6] => [2,5,1,4,3,6] => [1,2,5,3,4,6] => 1
[2,7,5,1,4,6,3] => [2,5,1,4,6,3] => [1,2,5,6,3,4] => 1
[2,7,5,1,6,3,4] => [2,5,1,6,3,4] => [1,2,5,3,4,6] => 1
[2,7,5,1,6,4,3] => [2,5,1,6,4,3] => [1,2,5,4,6,3] => 2
[2,7,5,3,1,4,6] => [2,5,3,1,4,6] => [1,2,5,4,3,6] => 1
[2,7,5,3,1,6,4] => [2,5,3,1,6,4] => [1,2,5,6,4,3] => 1
[2,7,5,3,4,1,6] => [2,5,3,4,1,6] => [1,2,5,3,4,6] => 1
[2,7,5,3,4,6,1] => [2,5,3,4,6,1] => [1,2,5,6,3,4] => 1
[2,7,5,3,6,1,4] => [2,5,3,6,1,4] => [1,2,5,3,4,6] => 1
[2,7,5,3,6,4,1] => [2,5,3,6,4,1] => [1,2,5,4,6,3] => 2
[2,7,5,4,1,3,6] => [2,5,4,1,3,6] => [1,2,5,3,4,6] => 1
[2,7,5,4,1,6,3] => [2,5,4,1,6,3] => [1,2,5,6,3,4] => 1
[2,7,5,4,3,1,6] => [2,5,4,3,1,6] => [1,2,5,3,4,6] => 1
[2,7,5,4,3,6,1] => [2,5,4,3,6,1] => [1,2,5,6,3,4] => 1
[2,7,5,4,6,1,3] => [2,5,4,6,1,3] => [1,2,5,3,4,6] => 1
[2,7,5,4,6,3,1] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 1
[2,7,5,6,1,3,4] => [2,5,6,1,3,4] => [1,2,5,3,6,4] => 2
[2,7,5,6,1,4,3] => [2,5,6,1,4,3] => [1,2,5,4,3,6] => 1
[2,7,5,6,3,1,4] => [2,5,6,3,1,4] => [1,2,5,3,6,4] => 2
[2,7,5,6,3,4,1] => [2,5,6,3,4,1] => [1,2,5,4,3,6] => 1
[2,7,5,6,4,1,3] => [2,5,6,4,1,3] => [1,2,5,3,6,4] => 2
[2,7,5,6,4,3,1] => [2,5,6,4,3,1] => [1,2,5,3,6,4] => 2
[2,7,6,1,3,4,5] => [2,6,1,3,4,5] => [1,2,6,5,4,3] => 1
[2,7,6,1,3,5,4] => [2,6,1,3,5,4] => [1,2,6,4,3,5] => 1
[2,7,6,1,4,3,5] => [2,6,1,4,3,5] => [1,2,6,5,3,4] => 1
[2,7,6,1,4,5,3] => [2,6,1,4,5,3] => [1,2,6,3,4,5] => 1
[2,7,6,1,5,3,4] => [2,6,1,5,3,4] => [1,2,6,4,5,3] => 2
[2,7,6,1,5,4,3] => [2,6,1,5,4,3] => [1,2,6,3,4,5] => 1
[2,7,6,3,1,4,5] => [2,6,3,1,4,5] => [1,2,6,5,4,3] => 1
[2,7,6,3,1,5,4] => [2,6,3,1,5,4] => [1,2,6,4,3,5] => 1
[2,7,6,3,4,1,5] => [2,6,3,4,1,5] => [1,2,6,5,3,4] => 1
[2,7,6,3,4,5,1] => [2,6,3,4,5,1] => [1,2,6,3,4,5] => 1
[2,7,6,3,5,1,4] => [2,6,3,5,1,4] => [1,2,6,4,5,3] => 2
[2,7,6,3,5,4,1] => [2,6,3,5,4,1] => [1,2,6,3,4,5] => 1
[2,7,6,4,1,3,5] => [2,6,4,1,3,5] => [1,2,6,5,3,4] => 1
[2,7,6,4,1,5,3] => [2,6,4,1,5,3] => [1,2,6,3,4,5] => 1
[2,7,6,4,3,1,5] => [2,6,4,3,1,5] => [1,2,6,5,3,4] => 1
[2,7,6,4,3,5,1] => [2,6,4,3,5,1] => [1,2,6,3,4,5] => 1
[2,7,6,4,5,1,3] => [2,6,4,5,1,3] => [1,2,6,3,4,5] => 1
[2,7,6,4,5,3,1] => [2,6,4,5,3,1] => [1,2,6,3,4,5] => 1
[2,7,6,5,1,3,4] => [2,6,5,1,3,4] => [1,2,6,4,3,5] => 1
[2,7,6,5,1,4,3] => [2,6,5,1,4,3] => [1,2,6,3,5,4] => 2
[2,7,6,5,3,1,4] => [2,6,5,3,1,4] => [1,2,6,4,3,5] => 1
[2,7,6,5,3,4,1] => [2,6,5,3,4,1] => [1,2,6,3,5,4] => 2
[2,7,6,5,4,1,3] => [2,6,5,4,1,3] => [1,2,6,3,5,4] => 2
[2,7,6,5,4,3,1] => [2,6,5,4,3,1] => [1,2,6,3,5,4] => 2
[3,1,2,4,5,6,7] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => 1
[3,1,2,4,5,7,6] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => 1
[3,1,2,4,6,5,7] => [3,1,2,4,6,5] => [1,3,2,4,5,6] => 1
[3,1,2,4,6,7,5] => [3,1,2,4,6,5] => [1,3,2,4,5,6] => 1
[3,1,2,4,7,5,6] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => 1
[3,1,2,4,7,6,5] => [3,1,2,4,6,5] => [1,3,2,4,5,6] => 1
[3,1,2,5,4,6,7] => [3,1,2,5,4,6] => [1,3,2,4,5,6] => 1
[3,1,2,5,4,7,6] => [3,1,2,5,4,6] => [1,3,2,4,5,6] => 1
[3,1,2,5,6,4,7] => [3,1,2,5,6,4] => [1,3,2,4,5,6] => 1
[3,1,2,5,6,7,4] => [3,1,2,5,6,4] => [1,3,2,4,5,6] => 1
[3,1,2,5,7,4,6] => [3,1,2,5,4,6] => [1,3,2,4,5,6] => 1
[3,1,2,5,7,6,4] => [3,1,2,5,6,4] => [1,3,2,4,5,6] => 1
[3,1,2,6,4,5,7] => [3,1,2,6,4,5] => [1,3,2,4,6,5] => 2
[3,1,2,6,4,7,5] => [3,1,2,6,4,5] => [1,3,2,4,6,5] => 2
[3,1,2,6,5,4,7] => [3,1,2,6,5,4] => [1,3,2,4,6,5] => 2
[3,1,2,6,5,7,4] => [3,1,2,6,5,4] => [1,3,2,4,6,5] => 2
[3,1,2,6,7,4,5] => [3,1,2,6,4,5] => [1,3,2,4,6,5] => 2
[3,1,2,6,7,5,4] => [3,1,2,6,5,4] => [1,3,2,4,6,5] => 2
[3,1,2,7,4,5,6] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => 1
[3,1,2,7,4,6,5] => [3,1,2,4,6,5] => [1,3,2,4,5,6] => 1
[3,1,2,7,5,4,6] => [3,1,2,5,4,6] => [1,3,2,4,5,6] => 1
[3,1,2,7,5,6,4] => [3,1,2,5,6,4] => [1,3,2,4,5,6] => 1
[3,1,2,7,6,4,5] => [3,1,2,6,4,5] => [1,3,2,4,6,5] => 2
[3,1,2,7,6,5,4] => [3,1,2,6,5,4] => [1,3,2,4,6,5] => 2
[3,1,4,2,5,6,7] => [3,1,4,2,5,6] => [1,3,4,2,5,6] => 1
[3,1,4,2,5,7,6] => [3,1,4,2,5,6] => [1,3,4,2,5,6] => 1
[3,1,4,2,6,5,7] => [3,1,4,2,6,5] => [1,3,4,2,5,6] => 1
[3,1,4,2,6,7,5] => [3,1,4,2,6,5] => [1,3,4,2,5,6] => 1
[3,1,4,2,7,5,6] => [3,1,4,2,5,6] => [1,3,4,2,5,6] => 1
[3,1,4,2,7,6,5] => [3,1,4,2,6,5] => [1,3,4,2,5,6] => 1
[3,1,4,5,2,6,7] => [3,1,4,5,2,6] => [1,3,4,5,2,6] => 1
[3,1,4,5,2,7,6] => [3,1,4,5,2,6] => [1,3,4,5,2,6] => 1
[3,1,4,5,6,2,7] => [3,1,4,5,6,2] => [1,3,4,5,6,2] => 1
[3,1,4,5,6,7,2] => [3,1,4,5,6,2] => [1,3,4,5,6,2] => 1
[3,1,4,5,7,2,6] => [3,1,4,5,2,6] => [1,3,4,5,2,6] => 1
[3,1,4,5,7,6,2] => [3,1,4,5,6,2] => [1,3,4,5,6,2] => 1
[3,1,4,6,2,5,7] => [3,1,4,6,2,5] => [1,3,4,6,5,2] => 1
[3,1,4,6,2,7,5] => [3,1,4,6,2,5] => [1,3,4,6,5,2] => 1
[3,1,4,6,5,2,7] => [3,1,4,6,5,2] => [1,3,4,6,2,5] => 1
[3,1,4,6,5,7,2] => [3,1,4,6,5,2] => [1,3,4,6,2,5] => 1
[3,1,4,6,7,2,5] => [3,1,4,6,2,5] => [1,3,4,6,5,2] => 1
[3,1,4,6,7,5,2] => [3,1,4,6,5,2] => [1,3,4,6,2,5] => 1
[3,1,4,7,2,5,6] => [3,1,4,2,5,6] => [1,3,4,2,5,6] => 1
[3,1,4,7,2,6,5] => [3,1,4,2,6,5] => [1,3,4,2,5,6] => 1
[3,1,4,7,5,2,6] => [3,1,4,5,2,6] => [1,3,4,5,2,6] => 1
[3,1,4,7,5,6,2] => [3,1,4,5,6,2] => [1,3,4,5,6,2] => 1
[3,1,4,7,6,2,5] => [3,1,4,6,2,5] => [1,3,4,6,5,2] => 1
[3,1,4,7,6,5,2] => [3,1,4,6,5,2] => [1,3,4,6,2,5] => 1
[3,1,5,2,4,6,7] => [3,1,5,2,4,6] => [1,3,5,4,2,6] => 1
[3,1,5,2,4,7,6] => [3,1,5,2,4,6] => [1,3,5,4,2,6] => 1
[3,1,5,2,6,4,7] => [3,1,5,2,6,4] => [1,3,5,6,4,2] => 1
[3,1,5,2,6,7,4] => [3,1,5,2,6,4] => [1,3,5,6,4,2] => 1
[3,1,5,2,7,4,6] => [3,1,5,2,4,6] => [1,3,5,4,2,6] => 1
[3,1,5,2,7,6,4] => [3,1,5,2,6,4] => [1,3,5,6,4,2] => 1
[3,1,5,4,2,6,7] => [3,1,5,4,2,6] => [1,3,5,2,4,6] => 1
[3,1,5,4,2,7,6] => [3,1,5,4,2,6] => [1,3,5,2,4,6] => 1
[3,1,5,4,6,2,7] => [3,1,5,4,6,2] => [1,3,5,6,2,4] => 1
[3,1,5,4,6,7,2] => [3,1,5,4,6,2] => [1,3,5,6,2,4] => 1
[3,1,5,4,7,2,6] => [3,1,5,4,2,6] => [1,3,5,2,4,6] => 1
[3,1,5,4,7,6,2] => [3,1,5,4,6,2] => [1,3,5,6,2,4] => 1
[3,1,5,6,2,4,7] => [3,1,5,6,2,4] => [1,3,5,2,4,6] => 1
[3,1,5,6,2,7,4] => [3,1,5,6,2,4] => [1,3,5,2,4,6] => 1
[3,1,5,6,4,2,7] => [3,1,5,6,4,2] => [1,3,5,4,6,2] => 2
[3,1,5,6,4,7,2] => [3,1,5,6,4,2] => [1,3,5,4,6,2] => 2
[3,1,5,6,7,2,4] => [3,1,5,6,2,4] => [1,3,5,2,4,6] => 1
[3,1,5,6,7,4,2] => [3,1,5,6,4,2] => [1,3,5,4,6,2] => 2
[3,1,5,7,2,4,6] => [3,1,5,2,4,6] => [1,3,5,4,2,6] => 1
[3,1,5,7,2,6,4] => [3,1,5,2,6,4] => [1,3,5,6,4,2] => 1
[3,1,5,7,4,2,6] => [3,1,5,4,2,6] => [1,3,5,2,4,6] => 1
[3,1,5,7,4,6,2] => [3,1,5,4,6,2] => [1,3,5,6,2,4] => 1
[3,1,5,7,6,2,4] => [3,1,5,6,2,4] => [1,3,5,2,4,6] => 1
[3,1,5,7,6,4,2] => [3,1,5,6,4,2] => [1,3,5,4,6,2] => 2
[3,1,6,2,4,5,7] => [3,1,6,2,4,5] => [1,3,6,5,4,2] => 1
[3,1,6,2,4,7,5] => [3,1,6,2,4,5] => [1,3,6,5,4,2] => 1
[3,1,6,2,5,4,7] => [3,1,6,2,5,4] => [1,3,6,4,2,5] => 1
[3,1,6,2,5,7,4] => [3,1,6,2,5,4] => [1,3,6,4,2,5] => 1
[3,1,6,2,7,4,5] => [3,1,6,2,4,5] => [1,3,6,5,4,2] => 1
[3,1,6,2,7,5,4] => [3,1,6,2,5,4] => [1,3,6,4,2,5] => 1
[3,1,6,4,2,5,7] => [3,1,6,4,2,5] => [1,3,6,5,2,4] => 1
[3,1,6,4,2,7,5] => [3,1,6,4,2,5] => [1,3,6,5,2,4] => 1
[3,1,6,4,5,2,7] => [3,1,6,4,5,2] => [1,3,6,2,4,5] => 1
[3,1,6,4,5,7,2] => [3,1,6,4,5,2] => [1,3,6,2,4,5] => 1
[3,1,6,4,7,2,5] => [3,1,6,4,2,5] => [1,3,6,5,2,4] => 1
[3,1,6,4,7,5,2] => [3,1,6,4,5,2] => [1,3,6,2,4,5] => 1
[3,1,6,5,2,4,7] => [3,1,6,5,2,4] => [1,3,6,4,5,2] => 2
[3,1,6,5,2,7,4] => [3,1,6,5,2,4] => [1,3,6,4,5,2] => 2
[3,1,6,5,4,2,7] => [3,1,6,5,4,2] => [1,3,6,2,4,5] => 1
[3,1,6,5,4,7,2] => [3,1,6,5,4,2] => [1,3,6,2,4,5] => 1
[3,1,6,5,7,2,4] => [3,1,6,5,2,4] => [1,3,6,4,5,2] => 2
[3,1,6,5,7,4,2] => [3,1,6,5,4,2] => [1,3,6,2,4,5] => 1
[3,1,6,7,2,4,5] => [3,1,6,2,4,5] => [1,3,6,5,4,2] => 1
[3,1,6,7,2,5,4] => [3,1,6,2,5,4] => [1,3,6,4,2,5] => 1
[3,1,6,7,4,2,5] => [3,1,6,4,2,5] => [1,3,6,5,2,4] => 1
[3,1,6,7,4,5,2] => [3,1,6,4,5,2] => [1,3,6,2,4,5] => 1
[3,1,6,7,5,2,4] => [3,1,6,5,2,4] => [1,3,6,4,5,2] => 2
[3,1,6,7,5,4,2] => [3,1,6,5,4,2] => [1,3,6,2,4,5] => 1
[3,1,7,2,4,5,6] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => 1
[3,1,7,2,4,6,5] => [3,1,2,4,6,5] => [1,3,2,4,5,6] => 1
[3,1,7,2,5,4,6] => [3,1,2,5,4,6] => [1,3,2,4,5,6] => 1
[3,1,7,2,5,6,4] => [3,1,2,5,6,4] => [1,3,2,4,5,6] => 1
[3,1,7,2,6,4,5] => [3,1,2,6,4,5] => [1,3,2,4,6,5] => 2
[3,1,7,2,6,5,4] => [3,1,2,6,5,4] => [1,3,2,4,6,5] => 2
[3,1,7,4,2,5,6] => [3,1,4,2,5,6] => [1,3,4,2,5,6] => 1
[3,1,7,4,2,6,5] => [3,1,4,2,6,5] => [1,3,4,2,5,6] => 1
[3,1,7,4,5,2,6] => [3,1,4,5,2,6] => [1,3,4,5,2,6] => 1
[3,1,7,4,5,6,2] => [3,1,4,5,6,2] => [1,3,4,5,6,2] => 1
[3,1,7,4,6,2,5] => [3,1,4,6,2,5] => [1,3,4,6,5,2] => 1
[3,1,7,4,6,5,2] => [3,1,4,6,5,2] => [1,3,4,6,2,5] => 1
[3,1,7,5,2,4,6] => [3,1,5,2,4,6] => [1,3,5,4,2,6] => 1
[3,1,7,5,2,6,4] => [3,1,5,2,6,4] => [1,3,5,6,4,2] => 1
[3,1,7,5,4,2,6] => [3,1,5,4,2,6] => [1,3,5,2,4,6] => 1
[3,1,7,5,4,6,2] => [3,1,5,4,6,2] => [1,3,5,6,2,4] => 1
[3,1,7,5,6,2,4] => [3,1,5,6,2,4] => [1,3,5,2,4,6] => 1
[3,1,7,5,6,4,2] => [3,1,5,6,4,2] => [1,3,5,4,6,2] => 2
[3,1,7,6,2,4,5] => [3,1,6,2,4,5] => [1,3,6,5,4,2] => 1
[3,1,7,6,2,5,4] => [3,1,6,2,5,4] => [1,3,6,4,2,5] => 1
[3,1,7,6,4,2,5] => [3,1,6,4,2,5] => [1,3,6,5,2,4] => 1
[3,1,7,6,4,5,2] => [3,1,6,4,5,2] => [1,3,6,2,4,5] => 1
[3,1,7,6,5,2,4] => [3,1,6,5,2,4] => [1,3,6,4,5,2] => 2
[3,1,7,6,5,4,2] => [3,1,6,5,4,2] => [1,3,6,2,4,5] => 1
[3,2,1,4,5,6,7] => [3,2,1,4,5,6] => [1,3,2,4,5,6] => 1
[3,2,1,4,5,7,6] => [3,2,1,4,5,6] => [1,3,2,4,5,6] => 1
[3,2,1,4,6,5,7] => [3,2,1,4,6,5] => [1,3,2,4,5,6] => 1
[3,2,1,4,6,7,5] => [3,2,1,4,6,5] => [1,3,2,4,5,6] => 1
[3,2,1,4,7,5,6] => [3,2,1,4,5,6] => [1,3,2,4,5,6] => 1
[3,2,1,4,7,6,5] => [3,2,1,4,6,5] => [1,3,2,4,5,6] => 1
[3,2,1,5,4,6,7] => [3,2,1,5,4,6] => [1,3,2,4,5,6] => 1
[3,2,1,5,4,7,6] => [3,2,1,5,4,6] => [1,3,2,4,5,6] => 1
[3,2,1,5,6,4,7] => [3,2,1,5,6,4] => [1,3,2,4,5,6] => 1
[3,2,1,5,6,7,4] => [3,2,1,5,6,4] => [1,3,2,4,5,6] => 1
[3,2,1,5,7,4,6] => [3,2,1,5,4,6] => [1,3,2,4,5,6] => 1
[3,2,1,5,7,6,4] => [3,2,1,5,6,4] => [1,3,2,4,5,6] => 1
[3,2,1,6,4,5,7] => [3,2,1,6,4,5] => [1,3,2,4,6,5] => 2
[3,2,1,6,4,7,5] => [3,2,1,6,4,5] => [1,3,2,4,6,5] => 2
[3,2,1,6,5,4,7] => [3,2,1,6,5,4] => [1,3,2,4,6,5] => 2
[3,2,1,6,5,7,4] => [3,2,1,6,5,4] => [1,3,2,4,6,5] => 2
[3,2,1,6,7,4,5] => [3,2,1,6,4,5] => [1,3,2,4,6,5] => 2
[3,2,1,6,7,5,4] => [3,2,1,6,5,4] => [1,3,2,4,6,5] => 2
[3,2,1,7,4,5,6] => [3,2,1,4,5,6] => [1,3,2,4,5,6] => 1
[3,2,1,7,4,6,5] => [3,2,1,4,6,5] => [1,3,2,4,5,6] => 1
[3,2,1,7,5,4,6] => [3,2,1,5,4,6] => [1,3,2,4,5,6] => 1
[3,2,1,7,5,6,4] => [3,2,1,5,6,4] => [1,3,2,4,5,6] => 1
[3,2,1,7,6,4,5] => [3,2,1,6,4,5] => [1,3,2,4,6,5] => 2
[3,2,1,7,6,5,4] => [3,2,1,6,5,4] => [1,3,2,4,6,5] => 2
[3,2,4,1,5,6,7] => [3,2,4,1,5,6] => [1,3,4,2,5,6] => 1
[3,2,4,1,5,7,6] => [3,2,4,1,5,6] => [1,3,4,2,5,6] => 1
[3,2,4,1,6,5,7] => [3,2,4,1,6,5] => [1,3,4,2,5,6] => 1
[3,2,4,1,6,7,5] => [3,2,4,1,6,5] => [1,3,4,2,5,6] => 1
[3,2,4,1,7,5,6] => [3,2,4,1,5,6] => [1,3,4,2,5,6] => 1
[3,2,4,1,7,6,5] => [3,2,4,1,6,5] => [1,3,4,2,5,6] => 1
[3,2,4,5,1,6,7] => [3,2,4,5,1,6] => [1,3,4,5,2,6] => 1
[3,2,4,5,1,7,6] => [3,2,4,5,1,6] => [1,3,4,5,2,6] => 1
[3,2,4,5,6,1,7] => [3,2,4,5,6,1] => [1,3,4,5,6,2] => 1
[3,2,4,5,6,7,1] => [3,2,4,5,6,1] => [1,3,4,5,6,2] => 1
[3,2,4,5,7,1,6] => [3,2,4,5,1,6] => [1,3,4,5,2,6] => 1
[3,2,4,5,7,6,1] => [3,2,4,5,6,1] => [1,3,4,5,6,2] => 1
[3,2,4,6,1,5,7] => [3,2,4,6,1,5] => [1,3,4,6,5,2] => 1
[3,2,4,6,1,7,5] => [3,2,4,6,1,5] => [1,3,4,6,5,2] => 1
[3,2,4,6,5,1,7] => [3,2,4,6,5,1] => [1,3,4,6,2,5] => 1
[3,2,4,6,5,7,1] => [3,2,4,6,5,1] => [1,3,4,6,2,5] => 1
[3,2,4,6,7,1,5] => [3,2,4,6,1,5] => [1,3,4,6,5,2] => 1
[3,2,4,6,7,5,1] => [3,2,4,6,5,1] => [1,3,4,6,2,5] => 1
[3,2,4,7,1,5,6] => [3,2,4,1,5,6] => [1,3,4,2,5,6] => 1
[3,2,4,7,1,6,5] => [3,2,4,1,6,5] => [1,3,4,2,5,6] => 1
[3,2,4,7,5,1,6] => [3,2,4,5,1,6] => [1,3,4,5,2,6] => 1
[3,2,4,7,5,6,1] => [3,2,4,5,6,1] => [1,3,4,5,6,2] => 1
[3,2,4,7,6,1,5] => [3,2,4,6,1,5] => [1,3,4,6,5,2] => 1
[3,2,4,7,6,5,1] => [3,2,4,6,5,1] => [1,3,4,6,2,5] => 1
[3,2,5,1,4,6,7] => [3,2,5,1,4,6] => [1,3,5,4,2,6] => 1
[3,2,5,1,4,7,6] => [3,2,5,1,4,6] => [1,3,5,4,2,6] => 1
[3,2,5,1,6,4,7] => [3,2,5,1,6,4] => [1,3,5,6,4,2] => 1
[3,2,5,1,6,7,4] => [3,2,5,1,6,4] => [1,3,5,6,4,2] => 1
[3,2,5,1,7,4,6] => [3,2,5,1,4,6] => [1,3,5,4,2,6] => 1
[3,2,5,1,7,6,4] => [3,2,5,1,6,4] => [1,3,5,6,4,2] => 1
[3,2,5,4,1,6,7] => [3,2,5,4,1,6] => [1,3,5,2,4,6] => 1
[3,2,5,4,1,7,6] => [3,2,5,4,1,6] => [1,3,5,2,4,6] => 1
[3,2,5,4,6,1,7] => [3,2,5,4,6,1] => [1,3,5,6,2,4] => 1
[3,2,5,4,6,7,1] => [3,2,5,4,6,1] => [1,3,5,6,2,4] => 1
[3,2,5,4,7,1,6] => [3,2,5,4,1,6] => [1,3,5,2,4,6] => 1
[3,2,5,4,7,6,1] => [3,2,5,4,6,1] => [1,3,5,6,2,4] => 1
[3,2,5,6,1,4,7] => [3,2,5,6,1,4] => [1,3,5,2,4,6] => 1
[3,2,5,6,1,7,4] => [3,2,5,6,1,4] => [1,3,5,2,4,6] => 1
[3,2,5,6,4,1,7] => [3,2,5,6,4,1] => [1,3,5,4,6,2] => 2
[3,2,5,6,4,7,1] => [3,2,5,6,4,1] => [1,3,5,4,6,2] => 2
[3,2,5,6,7,1,4] => [3,2,5,6,1,4] => [1,3,5,2,4,6] => 1
[3,2,5,6,7,4,1] => [3,2,5,6,4,1] => [1,3,5,4,6,2] => 2
[3,2,5,7,1,4,6] => [3,2,5,1,4,6] => [1,3,5,4,2,6] => 1
[3,2,5,7,1,6,4] => [3,2,5,1,6,4] => [1,3,5,6,4,2] => 1
[3,2,5,7,4,1,6] => [3,2,5,4,1,6] => [1,3,5,2,4,6] => 1
[3,2,5,7,4,6,1] => [3,2,5,4,6,1] => [1,3,5,6,2,4] => 1
[3,2,5,7,6,1,4] => [3,2,5,6,1,4] => [1,3,5,2,4,6] => 1
[3,2,5,7,6,4,1] => [3,2,5,6,4,1] => [1,3,5,4,6,2] => 2
[3,2,6,1,4,5,7] => [3,2,6,1,4,5] => [1,3,6,5,4,2] => 1
[3,2,6,1,4,7,5] => [3,2,6,1,4,5] => [1,3,6,5,4,2] => 1
[3,2,6,1,5,4,7] => [3,2,6,1,5,4] => [1,3,6,4,2,5] => 1
[3,2,6,1,5,7,4] => [3,2,6,1,5,4] => [1,3,6,4,2,5] => 1
[3,2,6,1,7,4,5] => [3,2,6,1,4,5] => [1,3,6,5,4,2] => 1
[3,2,6,1,7,5,4] => [3,2,6,1,5,4] => [1,3,6,4,2,5] => 1
[3,2,6,4,1,5,7] => [3,2,6,4,1,5] => [1,3,6,5,2,4] => 1
[3,2,6,4,1,7,5] => [3,2,6,4,1,5] => [1,3,6,5,2,4] => 1
[3,2,6,4,5,1,7] => [3,2,6,4,5,1] => [1,3,6,2,4,5] => 1
[3,2,6,4,5,7,1] => [3,2,6,4,5,1] => [1,3,6,2,4,5] => 1
[3,2,6,4,7,1,5] => [3,2,6,4,1,5] => [1,3,6,5,2,4] => 1
[3,2,6,4,7,5,1] => [3,2,6,4,5,1] => [1,3,6,2,4,5] => 1
[3,2,6,5,1,4,7] => [3,2,6,5,1,4] => [1,3,6,4,5,2] => 2
[3,2,6,5,1,7,4] => [3,2,6,5,1,4] => [1,3,6,4,5,2] => 2
[3,2,6,5,4,1,7] => [3,2,6,5,4,1] => [1,3,6,2,4,5] => 1
[3,2,6,5,4,7,1] => [3,2,6,5,4,1] => [1,3,6,2,4,5] => 1
[3,2,6,5,7,1,4] => [3,2,6,5,1,4] => [1,3,6,4,5,2] => 2
[3,2,6,5,7,4,1] => [3,2,6,5,4,1] => [1,3,6,2,4,5] => 1
[3,2,6,7,1,4,5] => [3,2,6,1,4,5] => [1,3,6,5,4,2] => 1
[3,2,6,7,1,5,4] => [3,2,6,1,5,4] => [1,3,6,4,2,5] => 1
[3,2,6,7,4,1,5] => [3,2,6,4,1,5] => [1,3,6,5,2,4] => 1
[3,2,6,7,4,5,1] => [3,2,6,4,5,1] => [1,3,6,2,4,5] => 1
[3,2,6,7,5,1,4] => [3,2,6,5,1,4] => [1,3,6,4,5,2] => 2
[3,2,6,7,5,4,1] => [3,2,6,5,4,1] => [1,3,6,2,4,5] => 1
[3,2,7,1,4,5,6] => [3,2,1,4,5,6] => [1,3,2,4,5,6] => 1
[3,2,7,1,4,6,5] => [3,2,1,4,6,5] => [1,3,2,4,5,6] => 1
[3,2,7,1,5,4,6] => [3,2,1,5,4,6] => [1,3,2,4,5,6] => 1
[3,2,7,1,5,6,4] => [3,2,1,5,6,4] => [1,3,2,4,5,6] => 1
[3,2,7,1,6,4,5] => [3,2,1,6,4,5] => [1,3,2,4,6,5] => 2
[3,2,7,1,6,5,4] => [3,2,1,6,5,4] => [1,3,2,4,6,5] => 2
[3,2,7,4,1,5,6] => [3,2,4,1,5,6] => [1,3,4,2,5,6] => 1
[3,2,7,4,1,6,5] => [3,2,4,1,6,5] => [1,3,4,2,5,6] => 1
[3,2,7,4,5,1,6] => [3,2,4,5,1,6] => [1,3,4,5,2,6] => 1
[3,2,7,4,5,6,1] => [3,2,4,5,6,1] => [1,3,4,5,6,2] => 1
[3,2,7,4,6,1,5] => [3,2,4,6,1,5] => [1,3,4,6,5,2] => 1
[3,2,7,4,6,5,1] => [3,2,4,6,5,1] => [1,3,4,6,2,5] => 1
[3,2,7,5,1,4,6] => [3,2,5,1,4,6] => [1,3,5,4,2,6] => 1
[3,2,7,5,1,6,4] => [3,2,5,1,6,4] => [1,3,5,6,4,2] => 1
[3,2,7,5,4,1,6] => [3,2,5,4,1,6] => [1,3,5,2,4,6] => 1
[3,2,7,5,4,6,1] => [3,2,5,4,6,1] => [1,3,5,6,2,4] => 1
[3,2,7,5,6,1,4] => [3,2,5,6,1,4] => [1,3,5,2,4,6] => 1
[3,2,7,5,6,4,1] => [3,2,5,6,4,1] => [1,3,5,4,6,2] => 2
[3,2,7,6,1,4,5] => [3,2,6,1,4,5] => [1,3,6,5,4,2] => 1
[3,2,7,6,1,5,4] => [3,2,6,1,5,4] => [1,3,6,4,2,5] => 1
[3,2,7,6,4,1,5] => [3,2,6,4,1,5] => [1,3,6,5,2,4] => 1
[3,2,7,6,4,5,1] => [3,2,6,4,5,1] => [1,3,6,2,4,5] => 1
[3,2,7,6,5,1,4] => [3,2,6,5,1,4] => [1,3,6,4,5,2] => 2
[3,2,7,6,5,4,1] => [3,2,6,5,4,1] => [1,3,6,2,4,5] => 1
[3,4,1,2,5,6,7] => [3,4,1,2,5,6] => [1,3,2,4,5,6] => 1
[3,4,1,2,5,7,6] => [3,4,1,2,5,6] => [1,3,2,4,5,6] => 1
[3,4,1,2,6,5,7] => [3,4,1,2,6,5] => [1,3,2,4,5,6] => 1
[3,4,1,2,6,7,5] => [3,4,1,2,6,5] => [1,3,2,4,5,6] => 1
[3,4,1,2,7,5,6] => [3,4,1,2,5,6] => [1,3,2,4,5,6] => 1
[3,4,1,2,7,6,5] => [3,4,1,2,6,5] => [1,3,2,4,5,6] => 1
[3,4,1,5,2,6,7] => [3,4,1,5,2,6] => [1,3,2,4,5,6] => 1
[3,4,1,5,2,7,6] => [3,4,1,5,2,6] => [1,3,2,4,5,6] => 1
[3,4,1,5,6,2,7] => [3,4,1,5,6,2] => [1,3,2,4,5,6] => 1
[3,4,1,5,6,7,2] => [3,4,1,5,6,2] => [1,3,2,4,5,6] => 1
[3,4,1,5,7,2,6] => [3,4,1,5,2,6] => [1,3,2,4,5,6] => 1
[3,4,1,5,7,6,2] => [3,4,1,5,6,2] => [1,3,2,4,5,6] => 1
[3,4,1,6,2,5,7] => [3,4,1,6,2,5] => [1,3,2,4,6,5] => 2
[3,4,1,6,2,7,5] => [3,4,1,6,2,5] => [1,3,2,4,6,5] => 2
[3,4,1,6,5,2,7] => [3,4,1,6,5,2] => [1,3,2,4,6,5] => 2
[3,4,1,6,5,7,2] => [3,4,1,6,5,2] => [1,3,2,4,6,5] => 2
[3,4,1,6,7,2,5] => [3,4,1,6,2,5] => [1,3,2,4,6,5] => 2
[3,4,1,6,7,5,2] => [3,4,1,6,5,2] => [1,3,2,4,6,5] => 2
[3,4,1,7,2,5,6] => [3,4,1,2,5,6] => [1,3,2,4,5,6] => 1
[3,4,1,7,2,6,5] => [3,4,1,2,6,5] => [1,3,2,4,5,6] => 1
[3,4,1,7,5,2,6] => [3,4,1,5,2,6] => [1,3,2,4,5,6] => 1
[3,4,1,7,5,6,2] => [3,4,1,5,6,2] => [1,3,2,4,5,6] => 1
[3,4,1,7,6,2,5] => [3,4,1,6,2,5] => [1,3,2,4,6,5] => 2
[3,4,1,7,6,5,2] => [3,4,1,6,5,2] => [1,3,2,4,6,5] => 2
[3,4,2,1,5,6,7] => [3,4,2,1,5,6] => [1,3,2,4,5,6] => 1
[3,4,2,1,5,7,6] => [3,4,2,1,5,6] => [1,3,2,4,5,6] => 1
[3,4,2,1,6,5,7] => [3,4,2,1,6,5] => [1,3,2,4,5,6] => 1
[3,4,2,1,6,7,5] => [3,4,2,1,6,5] => [1,3,2,4,5,6] => 1
[3,4,2,1,7,5,6] => [3,4,2,1,5,6] => [1,3,2,4,5,6] => 1
[3,4,2,1,7,6,5] => [3,4,2,1,6,5] => [1,3,2,4,5,6] => 1
[3,4,2,5,1,6,7] => [3,4,2,5,1,6] => [1,3,2,4,5,6] => 1
[3,4,2,5,1,7,6] => [3,4,2,5,1,6] => [1,3,2,4,5,6] => 1
[3,4,2,5,6,1,7] => [3,4,2,5,6,1] => [1,3,2,4,5,6] => 1
[3,4,2,5,6,7,1] => [3,4,2,5,6,1] => [1,3,2,4,5,6] => 1
[3,4,2,5,7,1,6] => [3,4,2,5,1,6] => [1,3,2,4,5,6] => 1
[3,4,2,5,7,6,1] => [3,4,2,5,6,1] => [1,3,2,4,5,6] => 1
[3,4,2,6,1,5,7] => [3,4,2,6,1,5] => [1,3,2,4,6,5] => 2
[3,4,2,6,1,7,5] => [3,4,2,6,1,5] => [1,3,2,4,6,5] => 2
[3,4,2,6,5,1,7] => [3,4,2,6,5,1] => [1,3,2,4,6,5] => 2
[3,4,2,6,5,7,1] => [3,4,2,6,5,1] => [1,3,2,4,6,5] => 2
[3,4,2,6,7,1,5] => [3,4,2,6,1,5] => [1,3,2,4,6,5] => 2
[3,4,2,6,7,5,1] => [3,4,2,6,5,1] => [1,3,2,4,6,5] => 2
[3,4,2,7,1,5,6] => [3,4,2,1,5,6] => [1,3,2,4,5,6] => 1
[3,4,2,7,1,6,5] => [3,4,2,1,6,5] => [1,3,2,4,5,6] => 1
[3,4,2,7,5,1,6] => [3,4,2,5,1,6] => [1,3,2,4,5,6] => 1
[3,4,2,7,5,6,1] => [3,4,2,5,6,1] => [1,3,2,4,5,6] => 1
[3,4,2,7,6,1,5] => [3,4,2,6,1,5] => [1,3,2,4,6,5] => 2
[3,4,2,7,6,5,1] => [3,4,2,6,5,1] => [1,3,2,4,6,5] => 2
[3,4,5,1,2,6,7] => [3,4,5,1,2,6] => [1,3,5,2,4,6] => 1
[3,4,5,1,2,7,6] => [3,4,5,1,2,6] => [1,3,5,2,4,6] => 1
[3,4,5,1,6,2,7] => [3,4,5,1,6,2] => [1,3,5,6,2,4] => 1
[3,4,5,1,6,7,2] => [3,4,5,1,6,2] => [1,3,5,6,2,4] => 1
[3,4,5,1,7,2,6] => [3,4,5,1,2,6] => [1,3,5,2,4,6] => 1
[3,4,5,1,7,6,2] => [3,4,5,1,6,2] => [1,3,5,6,2,4] => 1
[3,4,5,2,1,6,7] => [3,4,5,2,1,6] => [1,3,5,2,4,6] => 1
[3,4,5,2,1,7,6] => [3,4,5,2,1,6] => [1,3,5,2,4,6] => 1
[3,4,5,2,6,1,7] => [3,4,5,2,6,1] => [1,3,5,6,2,4] => 1
[3,4,5,2,6,7,1] => [3,4,5,2,6,1] => [1,3,5,6,2,4] => 1
[3,4,5,2,7,1,6] => [3,4,5,2,1,6] => [1,3,5,2,4,6] => 1
[3,4,5,2,7,6,1] => [3,4,5,2,6,1] => [1,3,5,6,2,4] => 1
[3,4,5,6,1,2,7] => [3,4,5,6,1,2] => [1,3,5,2,4,6] => 1
[3,4,5,6,1,7,2] => [3,4,5,6,1,2] => [1,3,5,2,4,6] => 1
[3,4,5,6,2,1,7] => [3,4,5,6,2,1] => [1,3,5,2,4,6] => 1
[3,4,5,6,2,7,1] => [3,4,5,6,2,1] => [1,3,5,2,4,6] => 1
[3,4,5,6,7,1,2] => [3,4,5,6,1,2] => [1,3,5,2,4,6] => 1
[3,4,5,6,7,2,1] => [3,4,5,6,2,1] => [1,3,5,2,4,6] => 1
[3,4,5,7,1,2,6] => [3,4,5,1,2,6] => [1,3,5,2,4,6] => 1
[3,4,5,7,1,6,2] => [3,4,5,1,6,2] => [1,3,5,6,2,4] => 1
[3,4,5,7,2,1,6] => [3,4,5,2,1,6] => [1,3,5,2,4,6] => 1
[3,4,5,7,2,6,1] => [3,4,5,2,6,1] => [1,3,5,6,2,4] => 1
[3,4,5,7,6,1,2] => [3,4,5,6,1,2] => [1,3,5,2,4,6] => 1
[3,4,5,7,6,2,1] => [3,4,5,6,2,1] => [1,3,5,2,4,6] => 1
[3,4,6,1,2,5,7] => [3,4,6,1,2,5] => [1,3,6,5,2,4] => 1
[3,4,6,1,2,7,5] => [3,4,6,1,2,5] => [1,3,6,5,2,4] => 1
[3,4,6,1,5,2,7] => [3,4,6,1,5,2] => [1,3,6,2,4,5] => 1
[3,4,6,1,5,7,2] => [3,4,6,1,5,2] => [1,3,6,2,4,5] => 1
[3,4,6,1,7,2,5] => [3,4,6,1,2,5] => [1,3,6,5,2,4] => 1
[3,4,6,1,7,5,2] => [3,4,6,1,5,2] => [1,3,6,2,4,5] => 1
[3,4,6,2,1,5,7] => [3,4,6,2,1,5] => [1,3,6,5,2,4] => 1
[3,4,6,2,1,7,5] => [3,4,6,2,1,5] => [1,3,6,5,2,4] => 1
[3,4,6,2,5,1,7] => [3,4,6,2,5,1] => [1,3,6,2,4,5] => 1
[3,4,6,2,5,7,1] => [3,4,6,2,5,1] => [1,3,6,2,4,5] => 1
[3,4,6,2,7,1,5] => [3,4,6,2,1,5] => [1,3,6,5,2,4] => 1
[3,4,6,2,7,5,1] => [3,4,6,2,5,1] => [1,3,6,2,4,5] => 1
[3,4,6,5,1,2,7] => [3,4,6,5,1,2] => [1,3,6,2,4,5] => 1
[3,4,6,5,1,7,2] => [3,4,6,5,1,2] => [1,3,6,2,4,5] => 1
[3,4,6,5,2,1,7] => [3,4,6,5,2,1] => [1,3,6,2,4,5] => 1
[3,4,6,5,2,7,1] => [3,4,6,5,2,1] => [1,3,6,2,4,5] => 1
[3,4,6,5,7,1,2] => [3,4,6,5,1,2] => [1,3,6,2,4,5] => 1
[3,4,6,5,7,2,1] => [3,4,6,5,2,1] => [1,3,6,2,4,5] => 1
[3,4,6,7,1,2,5] => [3,4,6,1,2,5] => [1,3,6,5,2,4] => 1
[3,4,6,7,1,5,2] => [3,4,6,1,5,2] => [1,3,6,2,4,5] => 1
[3,4,6,7,2,1,5] => [3,4,6,2,1,5] => [1,3,6,5,2,4] => 1
[3,4,6,7,2,5,1] => [3,4,6,2,5,1] => [1,3,6,2,4,5] => 1
[3,4,6,7,5,1,2] => [3,4,6,5,1,2] => [1,3,6,2,4,5] => 1
[3,4,6,7,5,2,1] => [3,4,6,5,2,1] => [1,3,6,2,4,5] => 1
[3,4,7,1,2,5,6] => [3,4,1,2,5,6] => [1,3,2,4,5,6] => 1
[3,4,7,1,2,6,5] => [3,4,1,2,6,5] => [1,3,2,4,5,6] => 1
[3,4,7,1,5,2,6] => [3,4,1,5,2,6] => [1,3,2,4,5,6] => 1
[3,4,7,1,5,6,2] => [3,4,1,5,6,2] => [1,3,2,4,5,6] => 1
[3,4,7,1,6,2,5] => [3,4,1,6,2,5] => [1,3,2,4,6,5] => 2
[3,4,7,1,6,5,2] => [3,4,1,6,5,2] => [1,3,2,4,6,5] => 2
[3,4,7,2,1,5,6] => [3,4,2,1,5,6] => [1,3,2,4,5,6] => 1
[3,4,7,2,1,6,5] => [3,4,2,1,6,5] => [1,3,2,4,5,6] => 1
[3,4,7,2,5,1,6] => [3,4,2,5,1,6] => [1,3,2,4,5,6] => 1
[3,4,7,2,5,6,1] => [3,4,2,5,6,1] => [1,3,2,4,5,6] => 1
[3,4,7,2,6,1,5] => [3,4,2,6,1,5] => [1,3,2,4,6,5] => 2
[3,4,7,2,6,5,1] => [3,4,2,6,5,1] => [1,3,2,4,6,5] => 2
[3,4,7,5,1,2,6] => [3,4,5,1,2,6] => [1,3,5,2,4,6] => 1
[3,4,7,5,1,6,2] => [3,4,5,1,6,2] => [1,3,5,6,2,4] => 1
[3,4,7,5,2,1,6] => [3,4,5,2,1,6] => [1,3,5,2,4,6] => 1
[3,4,7,5,2,6,1] => [3,4,5,2,6,1] => [1,3,5,6,2,4] => 1
[3,4,7,5,6,1,2] => [3,4,5,6,1,2] => [1,3,5,2,4,6] => 1
[3,4,7,5,6,2,1] => [3,4,5,6,2,1] => [1,3,5,2,4,6] => 1
[3,4,7,6,1,2,5] => [3,4,6,1,2,5] => [1,3,6,5,2,4] => 1
[3,4,7,6,1,5,2] => [3,4,6,1,5,2] => [1,3,6,2,4,5] => 1
[3,4,7,6,2,1,5] => [3,4,6,2,1,5] => [1,3,6,5,2,4] => 1
[3,4,7,6,2,5,1] => [3,4,6,2,5,1] => [1,3,6,2,4,5] => 1
[3,4,7,6,5,1,2] => [3,4,6,5,1,2] => [1,3,6,2,4,5] => 1
[3,4,7,6,5,2,1] => [3,4,6,5,2,1] => [1,3,6,2,4,5] => 1
[3,5,1,2,4,6,7] => [3,5,1,2,4,6] => [1,3,2,5,4,6] => 2
[3,5,1,2,4,7,6] => [3,5,1,2,4,6] => [1,3,2,5,4,6] => 2
[3,5,1,2,6,4,7] => [3,5,1,2,6,4] => [1,3,2,5,6,4] => 2
[3,5,1,2,6,7,4] => [3,5,1,2,6,4] => [1,3,2,5,6,4] => 2
[3,5,1,2,7,4,6] => [3,5,1,2,4,6] => [1,3,2,5,4,6] => 2
[3,5,1,2,7,6,4] => [3,5,1,2,6,4] => [1,3,2,5,6,4] => 2
[3,5,1,4,2,6,7] => [3,5,1,4,2,6] => [1,3,2,5,4,6] => 2
[3,5,1,4,2,7,6] => [3,5,1,4,2,6] => [1,3,2,5,4,6] => 2
[3,5,1,4,6,2,7] => [3,5,1,4,6,2] => [1,3,2,5,6,4] => 2
[3,5,1,4,6,7,2] => [3,5,1,4,6,2] => [1,3,2,5,6,4] => 2
[3,5,1,4,7,2,6] => [3,5,1,4,2,6] => [1,3,2,5,4,6] => 2
[3,5,1,4,7,6,2] => [3,5,1,4,6,2] => [1,3,2,5,6,4] => 2
[3,5,1,6,2,4,7] => [3,5,1,6,2,4] => [1,3,2,5,4,6] => 2
[3,5,1,6,2,7,4] => [3,5,1,6,2,4] => [1,3,2,5,4,6] => 2
[3,5,1,6,4,2,7] => [3,5,1,6,4,2] => [1,3,2,5,4,6] => 2
[3,5,1,6,4,7,2] => [3,5,1,6,4,2] => [1,3,2,5,4,6] => 2
[3,5,1,6,7,2,4] => [3,5,1,6,2,4] => [1,3,2,5,4,6] => 2
[3,5,1,6,7,4,2] => [3,5,1,6,4,2] => [1,3,2,5,4,6] => 2
[3,5,1,7,2,4,6] => [3,5,1,2,4,6] => [1,3,2,5,4,6] => 2
[3,5,1,7,2,6,4] => [3,5,1,2,6,4] => [1,3,2,5,6,4] => 2
[3,5,1,7,4,2,6] => [3,5,1,4,2,6] => [1,3,2,5,4,6] => 2
[3,5,1,7,4,6,2] => [3,5,1,4,6,2] => [1,3,2,5,6,4] => 2
[3,5,1,7,6,2,4] => [3,5,1,6,2,4] => [1,3,2,5,4,6] => 2
[3,5,1,7,6,4,2] => [3,5,1,6,4,2] => [1,3,2,5,4,6] => 2
[3,5,2,1,4,6,7] => [3,5,2,1,4,6] => [1,3,2,5,4,6] => 2
[3,5,2,1,4,7,6] => [3,5,2,1,4,6] => [1,3,2,5,4,6] => 2
[3,5,2,1,6,4,7] => [3,5,2,1,6,4] => [1,3,2,5,6,4] => 2
[3,5,2,1,6,7,4] => [3,5,2,1,6,4] => [1,3,2,5,6,4] => 2
[3,5,2,1,7,4,6] => [3,5,2,1,4,6] => [1,3,2,5,4,6] => 2
[3,5,2,1,7,6,4] => [3,5,2,1,6,4] => [1,3,2,5,6,4] => 2
[3,5,2,4,1,6,7] => [3,5,2,4,1,6] => [1,3,2,5,4,6] => 2
[3,5,2,4,1,7,6] => [3,5,2,4,1,6] => [1,3,2,5,4,6] => 2
[3,5,2,4,6,1,7] => [3,5,2,4,6,1] => [1,3,2,5,6,4] => 2
[3,5,2,4,6,7,1] => [3,5,2,4,6,1] => [1,3,2,5,6,4] => 2
[3,5,2,4,7,1,6] => [3,5,2,4,1,6] => [1,3,2,5,4,6] => 2
[3,5,2,4,7,6,1] => [3,5,2,4,6,1] => [1,3,2,5,6,4] => 2
[3,5,2,6,1,4,7] => [3,5,2,6,1,4] => [1,3,2,5,4,6] => 2
[3,5,2,6,1,7,4] => [3,5,2,6,1,4] => [1,3,2,5,4,6] => 2
[3,5,2,6,4,1,7] => [3,5,2,6,4,1] => [1,3,2,5,4,6] => 2
[3,5,2,6,4,7,1] => [3,5,2,6,4,1] => [1,3,2,5,4,6] => 2
[3,5,2,6,7,1,4] => [3,5,2,6,1,4] => [1,3,2,5,4,6] => 2
[3,5,2,6,7,4,1] => [3,5,2,6,4,1] => [1,3,2,5,4,6] => 2
[3,5,2,7,1,4,6] => [3,5,2,1,4,6] => [1,3,2,5,4,6] => 2
[3,5,2,7,1,6,4] => [3,5,2,1,6,4] => [1,3,2,5,6,4] => 2
[3,5,2,7,4,1,6] => [3,5,2,4,1,6] => [1,3,2,5,4,6] => 2
[3,5,2,7,4,6,1] => [3,5,2,4,6,1] => [1,3,2,5,6,4] => 2
[3,5,2,7,6,1,4] => [3,5,2,6,1,4] => [1,3,2,5,4,6] => 2
[3,5,2,7,6,4,1] => [3,5,2,6,4,1] => [1,3,2,5,4,6] => 2
[3,5,4,1,2,6,7] => [3,5,4,1,2,6] => [1,3,4,2,5,6] => 1
[3,5,4,1,2,7,6] => [3,5,4,1,2,6] => [1,3,4,2,5,6] => 1
[3,5,4,1,6,2,7] => [3,5,4,1,6,2] => [1,3,4,2,5,6] => 1
[3,5,4,1,6,7,2] => [3,5,4,1,6,2] => [1,3,4,2,5,6] => 1
[3,5,4,1,7,2,6] => [3,5,4,1,2,6] => [1,3,4,2,5,6] => 1
[3,5,4,1,7,6,2] => [3,5,4,1,6,2] => [1,3,4,2,5,6] => 1
[3,5,4,2,1,6,7] => [3,5,4,2,1,6] => [1,3,4,2,5,6] => 1
[3,5,4,2,1,7,6] => [3,5,4,2,1,6] => [1,3,4,2,5,6] => 1
[3,5,4,2,6,1,7] => [3,5,4,2,6,1] => [1,3,4,2,5,6] => 1
[3,5,4,2,6,7,1] => [3,5,4,2,6,1] => [1,3,4,2,5,6] => 1
[3,5,4,2,7,1,6] => [3,5,4,2,1,6] => [1,3,4,2,5,6] => 1
[3,5,4,2,7,6,1] => [3,5,4,2,6,1] => [1,3,4,2,5,6] => 1
[3,5,4,6,1,2,7] => [3,5,4,6,1,2] => [1,3,4,6,2,5] => 1
[3,5,4,6,1,7,2] => [3,5,4,6,1,2] => [1,3,4,6,2,5] => 1
[3,5,4,6,2,1,7] => [3,5,4,6,2,1] => [1,3,4,6,2,5] => 1
[3,5,4,6,2,7,1] => [3,5,4,6,2,1] => [1,3,4,6,2,5] => 1
[3,5,4,6,7,1,2] => [3,5,4,6,1,2] => [1,3,4,6,2,5] => 1
[3,5,4,6,7,2,1] => [3,5,4,6,2,1] => [1,3,4,6,2,5] => 1
[3,5,4,7,1,2,6] => [3,5,4,1,2,6] => [1,3,4,2,5,6] => 1
[3,5,4,7,1,6,2] => [3,5,4,1,6,2] => [1,3,4,2,5,6] => 1
[3,5,4,7,2,1,6] => [3,5,4,2,1,6] => [1,3,4,2,5,6] => 1
[3,5,4,7,2,6,1] => [3,5,4,2,6,1] => [1,3,4,2,5,6] => 1
[3,5,4,7,6,1,2] => [3,5,4,6,1,2] => [1,3,4,6,2,5] => 1
[3,5,4,7,6,2,1] => [3,5,4,6,2,1] => [1,3,4,6,2,5] => 1
[3,5,6,1,2,4,7] => [3,5,6,1,2,4] => [1,3,6,4,2,5] => 1
[3,5,6,1,2,7,4] => [3,5,6,1,2,4] => [1,3,6,4,2,5] => 1
[3,5,6,1,4,2,7] => [3,5,6,1,4,2] => [1,3,6,2,5,4] => 2
[3,5,6,1,4,7,2] => [3,5,6,1,4,2] => [1,3,6,2,5,4] => 2
[3,5,6,1,7,2,4] => [3,5,6,1,2,4] => [1,3,6,4,2,5] => 1
[3,5,6,1,7,4,2] => [3,5,6,1,4,2] => [1,3,6,2,5,4] => 2
[3,5,6,2,1,4,7] => [3,5,6,2,1,4] => [1,3,6,4,2,5] => 1
[3,5,6,2,1,7,4] => [3,5,6,2,1,4] => [1,3,6,4,2,5] => 1
[3,5,6,2,4,1,7] => [3,5,6,2,4,1] => [1,3,6,2,5,4] => 2
[3,5,6,2,4,7,1] => [3,5,6,2,4,1] => [1,3,6,2,5,4] => 2
[3,5,6,2,7,1,4] => [3,5,6,2,1,4] => [1,3,6,4,2,5] => 1
[3,5,6,2,7,4,1] => [3,5,6,2,4,1] => [1,3,6,2,5,4] => 2
[3,5,6,4,1,2,7] => [3,5,6,4,1,2] => [1,3,6,2,5,4] => 2
[3,5,6,4,1,7,2] => [3,5,6,4,1,2] => [1,3,6,2,5,4] => 2
[3,5,6,4,2,1,7] => [3,5,6,4,2,1] => [1,3,6,2,5,4] => 2
[3,5,6,4,2,7,1] => [3,5,6,4,2,1] => [1,3,6,2,5,4] => 2
[3,5,6,4,7,1,2] => [3,5,6,4,1,2] => [1,3,6,2,5,4] => 2
[3,5,6,4,7,2,1] => [3,5,6,4,2,1] => [1,3,6,2,5,4] => 2
[3,5,6,7,1,2,4] => [3,5,6,1,2,4] => [1,3,6,4,2,5] => 1
[3,5,6,7,1,4,2] => [3,5,6,1,4,2] => [1,3,6,2,5,4] => 2
[3,5,6,7,2,1,4] => [3,5,6,2,1,4] => [1,3,6,4,2,5] => 1
[3,5,6,7,2,4,1] => [3,5,6,2,4,1] => [1,3,6,2,5,4] => 2
[3,5,6,7,4,1,2] => [3,5,6,4,1,2] => [1,3,6,2,5,4] => 2
[3,5,6,7,4,2,1] => [3,5,6,4,2,1] => [1,3,6,2,5,4] => 2
[3,5,7,1,2,4,6] => [3,5,1,2,4,6] => [1,3,2,5,4,6] => 2
[3,5,7,1,2,6,4] => [3,5,1,2,6,4] => [1,3,2,5,6,4] => 2
[3,5,7,1,4,2,6] => [3,5,1,4,2,6] => [1,3,2,5,4,6] => 2
[3,5,7,1,4,6,2] => [3,5,1,4,6,2] => [1,3,2,5,6,4] => 2
[3,5,7,1,6,2,4] => [3,5,1,6,2,4] => [1,3,2,5,4,6] => 2
[3,5,7,1,6,4,2] => [3,5,1,6,4,2] => [1,3,2,5,4,6] => 2
[3,5,7,2,1,4,6] => [3,5,2,1,4,6] => [1,3,2,5,4,6] => 2
[3,5,7,2,1,6,4] => [3,5,2,1,6,4] => [1,3,2,5,6,4] => 2
[3,5,7,2,4,1,6] => [3,5,2,4,1,6] => [1,3,2,5,4,6] => 2
[3,5,7,2,4,6,1] => [3,5,2,4,6,1] => [1,3,2,5,6,4] => 2
[3,5,7,2,6,1,4] => [3,5,2,6,1,4] => [1,3,2,5,4,6] => 2
[3,5,7,2,6,4,1] => [3,5,2,6,4,1] => [1,3,2,5,4,6] => 2
[3,5,7,4,1,2,6] => [3,5,4,1,2,6] => [1,3,4,2,5,6] => 1
[3,5,7,4,1,6,2] => [3,5,4,1,6,2] => [1,3,4,2,5,6] => 1
[3,5,7,4,2,1,6] => [3,5,4,2,1,6] => [1,3,4,2,5,6] => 1
[3,5,7,4,2,6,1] => [3,5,4,2,6,1] => [1,3,4,2,5,6] => 1
[3,5,7,4,6,1,2] => [3,5,4,6,1,2] => [1,3,4,6,2,5] => 1
[3,5,7,4,6,2,1] => [3,5,4,6,2,1] => [1,3,4,6,2,5] => 1
[3,5,7,6,1,2,4] => [3,5,6,1,2,4] => [1,3,6,4,2,5] => 1
[3,5,7,6,1,4,2] => [3,5,6,1,4,2] => [1,3,6,2,5,4] => 2
[3,5,7,6,2,1,4] => [3,5,6,2,1,4] => [1,3,6,4,2,5] => 1
[3,5,7,6,2,4,1] => [3,5,6,2,4,1] => [1,3,6,2,5,4] => 2
[3,5,7,6,4,1,2] => [3,5,6,4,1,2] => [1,3,6,2,5,4] => 2
[3,5,7,6,4,2,1] => [3,5,6,4,2,1] => [1,3,6,2,5,4] => 2
[3,6,1,2,4,5,7] => [3,6,1,2,4,5] => [1,3,2,6,5,4] => 2
[3,6,1,2,4,7,5] => [3,6,1,2,4,5] => [1,3,2,6,5,4] => 2
[3,6,1,2,5,4,7] => [3,6,1,2,5,4] => [1,3,2,6,4,5] => 2
[3,6,1,2,5,7,4] => [3,6,1,2,5,4] => [1,3,2,6,4,5] => 2
[3,6,1,2,7,4,5] => [3,6,1,2,4,5] => [1,3,2,6,5,4] => 2
[3,6,1,2,7,5,4] => [3,6,1,2,5,4] => [1,3,2,6,4,5] => 2
[3,6,1,4,2,5,7] => [3,6,1,4,2,5] => [1,3,2,6,5,4] => 2
[3,6,1,4,2,7,5] => [3,6,1,4,2,5] => [1,3,2,6,5,4] => 2
[3,6,1,4,5,2,7] => [3,6,1,4,5,2] => [1,3,2,6,4,5] => 2
[3,6,1,4,5,7,2] => [3,6,1,4,5,2] => [1,3,2,6,4,5] => 2
[3,6,1,4,7,2,5] => [3,6,1,4,2,5] => [1,3,2,6,5,4] => 2
[3,6,1,4,7,5,2] => [3,6,1,4,5,2] => [1,3,2,6,4,5] => 2
[3,6,1,5,2,4,7] => [3,6,1,5,2,4] => [1,3,2,6,4,5] => 2
[3,6,1,5,2,7,4] => [3,6,1,5,2,4] => [1,3,2,6,4,5] => 2
[3,6,1,5,4,2,7] => [3,6,1,5,4,2] => [1,3,2,6,4,5] => 2
[3,6,1,5,4,7,2] => [3,6,1,5,4,2] => [1,3,2,6,4,5] => 2
[3,6,1,5,7,2,4] => [3,6,1,5,2,4] => [1,3,2,6,4,5] => 2
[3,6,1,5,7,4,2] => [3,6,1,5,4,2] => [1,3,2,6,4,5] => 2
[3,6,1,7,2,4,5] => [3,6,1,2,4,5] => [1,3,2,6,5,4] => 2
[3,6,1,7,2,5,4] => [3,6,1,2,5,4] => [1,3,2,6,4,5] => 2
[3,6,1,7,4,2,5] => [3,6,1,4,2,5] => [1,3,2,6,5,4] => 2
[3,6,1,7,4,5,2] => [3,6,1,4,5,2] => [1,3,2,6,4,5] => 2
[3,6,1,7,5,2,4] => [3,6,1,5,2,4] => [1,3,2,6,4,5] => 2
[3,6,1,7,5,4,2] => [3,6,1,5,4,2] => [1,3,2,6,4,5] => 2
[3,6,2,1,4,5,7] => [3,6,2,1,4,5] => [1,3,2,6,5,4] => 2
[3,6,2,1,4,7,5] => [3,6,2,1,4,5] => [1,3,2,6,5,4] => 2
[3,6,2,1,5,4,7] => [3,6,2,1,5,4] => [1,3,2,6,4,5] => 2
[3,6,2,1,5,7,4] => [3,6,2,1,5,4] => [1,3,2,6,4,5] => 2
[3,6,2,1,7,4,5] => [3,6,2,1,4,5] => [1,3,2,6,5,4] => 2
[3,6,2,1,7,5,4] => [3,6,2,1,5,4] => [1,3,2,6,4,5] => 2
[3,6,2,4,1,5,7] => [3,6,2,4,1,5] => [1,3,2,6,5,4] => 2
[3,6,2,4,1,7,5] => [3,6,2,4,1,5] => [1,3,2,6,5,4] => 2
[3,6,2,4,5,1,7] => [3,6,2,4,5,1] => [1,3,2,6,4,5] => 2
[3,6,2,4,5,7,1] => [3,6,2,4,5,1] => [1,3,2,6,4,5] => 2
[3,6,2,4,7,1,5] => [3,6,2,4,1,5] => [1,3,2,6,5,4] => 2
[3,6,2,4,7,5,1] => [3,6,2,4,5,1] => [1,3,2,6,4,5] => 2
[3,6,2,5,1,4,7] => [3,6,2,5,1,4] => [1,3,2,6,4,5] => 2
[3,6,2,5,1,7,4] => [3,6,2,5,1,4] => [1,3,2,6,4,5] => 2
[3,6,2,5,4,1,7] => [3,6,2,5,4,1] => [1,3,2,6,4,5] => 2
[3,6,2,5,4,7,1] => [3,6,2,5,4,1] => [1,3,2,6,4,5] => 2
[3,6,2,5,7,1,4] => [3,6,2,5,1,4] => [1,3,2,6,4,5] => 2
[3,6,2,5,7,4,1] => [3,6,2,5,4,1] => [1,3,2,6,4,5] => 2
[3,6,2,7,1,4,5] => [3,6,2,1,4,5] => [1,3,2,6,5,4] => 2
[3,6,2,7,1,5,4] => [3,6,2,1,5,4] => [1,3,2,6,4,5] => 2
[3,6,2,7,4,1,5] => [3,6,2,4,1,5] => [1,3,2,6,5,4] => 2
[3,6,2,7,4,5,1] => [3,6,2,4,5,1] => [1,3,2,6,4,5] => 2
[3,6,2,7,5,1,4] => [3,6,2,5,1,4] => [1,3,2,6,4,5] => 2
[3,6,2,7,5,4,1] => [3,6,2,5,4,1] => [1,3,2,6,4,5] => 2
[3,6,4,1,2,5,7] => [3,6,4,1,2,5] => [1,3,4,2,6,5] => 2
[3,6,4,1,2,7,5] => [3,6,4,1,2,5] => [1,3,4,2,6,5] => 2
[3,6,4,1,5,2,7] => [3,6,4,1,5,2] => [1,3,4,2,6,5] => 2
[3,6,4,1,5,7,2] => [3,6,4,1,5,2] => [1,3,4,2,6,5] => 2
[3,6,4,1,7,2,5] => [3,6,4,1,2,5] => [1,3,4,2,6,5] => 2
[3,6,4,1,7,5,2] => [3,6,4,1,5,2] => [1,3,4,2,6,5] => 2
[3,6,4,2,1,5,7] => [3,6,4,2,1,5] => [1,3,4,2,6,5] => 2
[3,6,4,2,1,7,5] => [3,6,4,2,1,5] => [1,3,4,2,6,5] => 2
[3,6,4,2,5,1,7] => [3,6,4,2,5,1] => [1,3,4,2,6,5] => 2
[3,6,4,2,5,7,1] => [3,6,4,2,5,1] => [1,3,4,2,6,5] => 2
[3,6,4,2,7,1,5] => [3,6,4,2,1,5] => [1,3,4,2,6,5] => 2
[3,6,4,2,7,5,1] => [3,6,4,2,5,1] => [1,3,4,2,6,5] => 2
[3,6,4,5,1,2,7] => [3,6,4,5,1,2] => [1,3,4,5,2,6] => 1
[3,6,4,5,1,7,2] => [3,6,4,5,1,2] => [1,3,4,5,2,6] => 1
[3,6,4,5,2,1,7] => [3,6,4,5,2,1] => [1,3,4,5,2,6] => 1
[3,6,4,5,2,7,1] => [3,6,4,5,2,1] => [1,3,4,5,2,6] => 1
[3,6,4,5,7,1,2] => [3,6,4,5,1,2] => [1,3,4,5,2,6] => 1
[3,6,4,5,7,2,1] => [3,6,4,5,2,1] => [1,3,4,5,2,6] => 1
[3,6,4,7,1,2,5] => [3,6,4,1,2,5] => [1,3,4,2,6,5] => 2
[3,6,4,7,1,5,2] => [3,6,4,1,5,2] => [1,3,4,2,6,5] => 2
[3,6,4,7,2,1,5] => [3,6,4,2,1,5] => [1,3,4,2,6,5] => 2
[3,6,4,7,2,5,1] => [3,6,4,2,5,1] => [1,3,4,2,6,5] => 2
[3,6,4,7,5,1,2] => [3,6,4,5,1,2] => [1,3,4,5,2,6] => 1
[3,6,4,7,5,2,1] => [3,6,4,5,2,1] => [1,3,4,5,2,6] => 1
[3,6,5,1,2,4,7] => [3,6,5,1,2,4] => [1,3,5,2,6,4] => 2
[3,6,5,1,2,7,4] => [3,6,5,1,2,4] => [1,3,5,2,6,4] => 2
[3,6,5,1,4,2,7] => [3,6,5,1,4,2] => [1,3,5,4,2,6] => 1
[3,6,5,1,4,7,2] => [3,6,5,1,4,2] => [1,3,5,4,2,6] => 1
[3,6,5,1,7,2,4] => [3,6,5,1,2,4] => [1,3,5,2,6,4] => 2
[3,6,5,1,7,4,2] => [3,6,5,1,4,2] => [1,3,5,4,2,6] => 1
[3,6,5,2,1,4,7] => [3,6,5,2,1,4] => [1,3,5,2,6,4] => 2
[3,6,5,2,1,7,4] => [3,6,5,2,1,4] => [1,3,5,2,6,4] => 2
[3,6,5,2,4,1,7] => [3,6,5,2,4,1] => [1,3,5,4,2,6] => 1
[3,6,5,2,4,7,1] => [3,6,5,2,4,1] => [1,3,5,4,2,6] => 1
[3,6,5,2,7,1,4] => [3,6,5,2,1,4] => [1,3,5,2,6,4] => 2
[3,6,5,2,7,4,1] => [3,6,5,2,4,1] => [1,3,5,4,2,6] => 1
[3,6,5,4,1,2,7] => [3,6,5,4,1,2] => [1,3,5,2,6,4] => 2
[3,6,5,4,1,7,2] => [3,6,5,4,1,2] => [1,3,5,2,6,4] => 2
[3,6,5,4,2,1,7] => [3,6,5,4,2,1] => [1,3,5,2,6,4] => 2
[3,6,5,4,2,7,1] => [3,6,5,4,2,1] => [1,3,5,2,6,4] => 2
[3,6,5,4,7,1,2] => [3,6,5,4,1,2] => [1,3,5,2,6,4] => 2
[3,6,5,4,7,2,1] => [3,6,5,4,2,1] => [1,3,5,2,6,4] => 2
[3,6,5,7,1,2,4] => [3,6,5,1,2,4] => [1,3,5,2,6,4] => 2
[3,6,5,7,1,4,2] => [3,6,5,1,4,2] => [1,3,5,4,2,6] => 1
[3,6,5,7,2,1,4] => [3,6,5,2,1,4] => [1,3,5,2,6,4] => 2
[3,6,5,7,2,4,1] => [3,6,5,2,4,1] => [1,3,5,4,2,6] => 1
[3,6,5,7,4,1,2] => [3,6,5,4,1,2] => [1,3,5,2,6,4] => 2
[3,6,5,7,4,2,1] => [3,6,5,4,2,1] => [1,3,5,2,6,4] => 2
[3,6,7,1,2,4,5] => [3,6,1,2,4,5] => [1,3,2,6,5,4] => 2
[3,6,7,1,2,5,4] => [3,6,1,2,5,4] => [1,3,2,6,4,5] => 2
[3,6,7,1,4,2,5] => [3,6,1,4,2,5] => [1,3,2,6,5,4] => 2
[3,6,7,1,4,5,2] => [3,6,1,4,5,2] => [1,3,2,6,4,5] => 2
[3,6,7,1,5,2,4] => [3,6,1,5,2,4] => [1,3,2,6,4,5] => 2
[3,6,7,1,5,4,2] => [3,6,1,5,4,2] => [1,3,2,6,4,5] => 2
[3,6,7,2,1,4,5] => [3,6,2,1,4,5] => [1,3,2,6,5,4] => 2
[3,6,7,2,1,5,4] => [3,6,2,1,5,4] => [1,3,2,6,4,5] => 2
[3,6,7,2,4,1,5] => [3,6,2,4,1,5] => [1,3,2,6,5,4] => 2
[3,6,7,2,4,5,1] => [3,6,2,4,5,1] => [1,3,2,6,4,5] => 2
[3,6,7,2,5,1,4] => [3,6,2,5,1,4] => [1,3,2,6,4,5] => 2
[3,6,7,2,5,4,1] => [3,6,2,5,4,1] => [1,3,2,6,4,5] => 2
[3,6,7,4,1,2,5] => [3,6,4,1,2,5] => [1,3,4,2,6,5] => 2
[3,6,7,4,1,5,2] => [3,6,4,1,5,2] => [1,3,4,2,6,5] => 2
[3,6,7,4,2,1,5] => [3,6,4,2,1,5] => [1,3,4,2,6,5] => 2
[3,6,7,4,2,5,1] => [3,6,4,2,5,1] => [1,3,4,2,6,5] => 2
[3,6,7,4,5,1,2] => [3,6,4,5,1,2] => [1,3,4,5,2,6] => 1
[3,6,7,4,5,2,1] => [3,6,4,5,2,1] => [1,3,4,5,2,6] => 1
[3,6,7,5,1,2,4] => [3,6,5,1,2,4] => [1,3,5,2,6,4] => 2
[3,6,7,5,1,4,2] => [3,6,5,1,4,2] => [1,3,5,4,2,6] => 1
[3,6,7,5,2,1,4] => [3,6,5,2,1,4] => [1,3,5,2,6,4] => 2
[3,6,7,5,2,4,1] => [3,6,5,2,4,1] => [1,3,5,4,2,6] => 1
[3,6,7,5,4,1,2] => [3,6,5,4,1,2] => [1,3,5,2,6,4] => 2
[3,6,7,5,4,2,1] => [3,6,5,4,2,1] => [1,3,5,2,6,4] => 2
[3,7,1,2,4,5,6] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => 1
[3,7,1,2,4,6,5] => [3,1,2,4,6,5] => [1,3,2,4,5,6] => 1
[3,7,1,2,5,4,6] => [3,1,2,5,4,6] => [1,3,2,4,5,6] => 1
[3,7,1,2,5,6,4] => [3,1,2,5,6,4] => [1,3,2,4,5,6] => 1
[3,7,1,2,6,4,5] => [3,1,2,6,4,5] => [1,3,2,4,6,5] => 2
[3,7,1,2,6,5,4] => [3,1,2,6,5,4] => [1,3,2,4,6,5] => 2
[3,7,1,4,2,5,6] => [3,1,4,2,5,6] => [1,3,4,2,5,6] => 1
[3,7,1,4,2,6,5] => [3,1,4,2,6,5] => [1,3,4,2,5,6] => 1
[3,7,1,4,5,2,6] => [3,1,4,5,2,6] => [1,3,4,5,2,6] => 1
[3,7,1,4,5,6,2] => [3,1,4,5,6,2] => [1,3,4,5,6,2] => 1
[3,7,1,4,6,2,5] => [3,1,4,6,2,5] => [1,3,4,6,5,2] => 1
[3,7,1,4,6,5,2] => [3,1,4,6,5,2] => [1,3,4,6,2,5] => 1
[3,7,1,5,2,4,6] => [3,1,5,2,4,6] => [1,3,5,4,2,6] => 1
[3,7,1,5,2,6,4] => [3,1,5,2,6,4] => [1,3,5,6,4,2] => 1
[3,7,1,5,4,2,6] => [3,1,5,4,2,6] => [1,3,5,2,4,6] => 1
[3,7,1,5,4,6,2] => [3,1,5,4,6,2] => [1,3,5,6,2,4] => 1
[3,7,1,5,6,2,4] => [3,1,5,6,2,4] => [1,3,5,2,4,6] => 1
[3,7,1,5,6,4,2] => [3,1,5,6,4,2] => [1,3,5,4,6,2] => 2
[3,7,1,6,2,4,5] => [3,1,6,2,4,5] => [1,3,6,5,4,2] => 1
[3,7,1,6,2,5,4] => [3,1,6,2,5,4] => [1,3,6,4,2,5] => 1
[3,7,1,6,4,2,5] => [3,1,6,4,2,5] => [1,3,6,5,2,4] => 1
[3,7,1,6,4,5,2] => [3,1,6,4,5,2] => [1,3,6,2,4,5] => 1
[3,7,1,6,5,2,4] => [3,1,6,5,2,4] => [1,3,6,4,5,2] => 2
[3,7,1,6,5,4,2] => [3,1,6,5,4,2] => [1,3,6,2,4,5] => 1
[3,7,2,1,4,5,6] => [3,2,1,4,5,6] => [1,3,2,4,5,6] => 1
[3,7,2,1,4,6,5] => [3,2,1,4,6,5] => [1,3,2,4,5,6] => 1
[3,7,2,1,5,4,6] => [3,2,1,5,4,6] => [1,3,2,4,5,6] => 1
[3,7,2,1,5,6,4] => [3,2,1,5,6,4] => [1,3,2,4,5,6] => 1
[3,7,2,1,6,4,5] => [3,2,1,6,4,5] => [1,3,2,4,6,5] => 2
[3,7,2,1,6,5,4] => [3,2,1,6,5,4] => [1,3,2,4,6,5] => 2
[3,7,2,4,1,5,6] => [3,2,4,1,5,6] => [1,3,4,2,5,6] => 1
[3,7,2,4,1,6,5] => [3,2,4,1,6,5] => [1,3,4,2,5,6] => 1
[3,7,2,4,5,1,6] => [3,2,4,5,1,6] => [1,3,4,5,2,6] => 1
[3,7,2,4,5,6,1] => [3,2,4,5,6,1] => [1,3,4,5,6,2] => 1
[3,7,2,4,6,1,5] => [3,2,4,6,1,5] => [1,3,4,6,5,2] => 1
[3,7,2,4,6,5,1] => [3,2,4,6,5,1] => [1,3,4,6,2,5] => 1
[3,7,2,5,1,4,6] => [3,2,5,1,4,6] => [1,3,5,4,2,6] => 1
[3,7,2,5,1,6,4] => [3,2,5,1,6,4] => [1,3,5,6,4,2] => 1
[3,7,2,5,4,1,6] => [3,2,5,4,1,6] => [1,3,5,2,4,6] => 1
[3,7,2,5,4,6,1] => [3,2,5,4,6,1] => [1,3,5,6,2,4] => 1
[3,7,2,5,6,1,4] => [3,2,5,6,1,4] => [1,3,5,2,4,6] => 1
[3,7,2,5,6,4,1] => [3,2,5,6,4,1] => [1,3,5,4,6,2] => 2
[3,7,2,6,1,4,5] => [3,2,6,1,4,5] => [1,3,6,5,4,2] => 1
[3,7,2,6,1,5,4] => [3,2,6,1,5,4] => [1,3,6,4,2,5] => 1
[3,7,2,6,4,1,5] => [3,2,6,4,1,5] => [1,3,6,5,2,4] => 1
[3,7,2,6,4,5,1] => [3,2,6,4,5,1] => [1,3,6,2,4,5] => 1
[3,7,2,6,5,1,4] => [3,2,6,5,1,4] => [1,3,6,4,5,2] => 2
[3,7,2,6,5,4,1] => [3,2,6,5,4,1] => [1,3,6,2,4,5] => 1
[3,7,4,1,2,5,6] => [3,4,1,2,5,6] => [1,3,2,4,5,6] => 1
[3,7,4,1,2,6,5] => [3,4,1,2,6,5] => [1,3,2,4,5,6] => 1
[3,7,4,1,5,2,6] => [3,4,1,5,2,6] => [1,3,2,4,5,6] => 1
[3,7,4,1,5,6,2] => [3,4,1,5,6,2] => [1,3,2,4,5,6] => 1
[3,7,4,1,6,2,5] => [3,4,1,6,2,5] => [1,3,2,4,6,5] => 2
[3,7,4,1,6,5,2] => [3,4,1,6,5,2] => [1,3,2,4,6,5] => 2
[3,7,4,2,1,5,6] => [3,4,2,1,5,6] => [1,3,2,4,5,6] => 1
[3,7,4,2,1,6,5] => [3,4,2,1,6,5] => [1,3,2,4,5,6] => 1
[3,7,4,2,5,1,6] => [3,4,2,5,1,6] => [1,3,2,4,5,6] => 1
[3,7,4,2,5,6,1] => [3,4,2,5,6,1] => [1,3,2,4,5,6] => 1
[3,7,4,2,6,1,5] => [3,4,2,6,1,5] => [1,3,2,4,6,5] => 2
[3,7,4,2,6,5,1] => [3,4,2,6,5,1] => [1,3,2,4,6,5] => 2
[3,7,4,5,1,2,6] => [3,4,5,1,2,6] => [1,3,5,2,4,6] => 1
[3,7,4,5,1,6,2] => [3,4,5,1,6,2] => [1,3,5,6,2,4] => 1
[3,7,4,5,2,1,6] => [3,4,5,2,1,6] => [1,3,5,2,4,6] => 1
[3,7,4,5,2,6,1] => [3,4,5,2,6,1] => [1,3,5,6,2,4] => 1
[3,7,4,5,6,1,2] => [3,4,5,6,1,2] => [1,3,5,2,4,6] => 1
[3,7,4,5,6,2,1] => [3,4,5,6,2,1] => [1,3,5,2,4,6] => 1
[3,7,4,6,1,2,5] => [3,4,6,1,2,5] => [1,3,6,5,2,4] => 1
[3,7,4,6,1,5,2] => [3,4,6,1,5,2] => [1,3,6,2,4,5] => 1
[3,7,4,6,2,1,5] => [3,4,6,2,1,5] => [1,3,6,5,2,4] => 1
[3,7,4,6,2,5,1] => [3,4,6,2,5,1] => [1,3,6,2,4,5] => 1
[3,7,4,6,5,1,2] => [3,4,6,5,1,2] => [1,3,6,2,4,5] => 1
[3,7,4,6,5,2,1] => [3,4,6,5,2,1] => [1,3,6,2,4,5] => 1
[3,7,5,1,2,4,6] => [3,5,1,2,4,6] => [1,3,2,5,4,6] => 2
[3,7,5,1,2,6,4] => [3,5,1,2,6,4] => [1,3,2,5,6,4] => 2
[3,7,5,1,4,2,6] => [3,5,1,4,2,6] => [1,3,2,5,4,6] => 2
[3,7,5,1,4,6,2] => [3,5,1,4,6,2] => [1,3,2,5,6,4] => 2
[3,7,5,1,6,2,4] => [3,5,1,6,2,4] => [1,3,2,5,4,6] => 2
[3,7,5,1,6,4,2] => [3,5,1,6,4,2] => [1,3,2,5,4,6] => 2
[3,7,5,2,1,4,6] => [3,5,2,1,4,6] => [1,3,2,5,4,6] => 2
[3,7,5,2,1,6,4] => [3,5,2,1,6,4] => [1,3,2,5,6,4] => 2
[3,7,5,2,4,1,6] => [3,5,2,4,1,6] => [1,3,2,5,4,6] => 2
[3,7,5,2,4,6,1] => [3,5,2,4,6,1] => [1,3,2,5,6,4] => 2
[3,7,5,2,6,1,4] => [3,5,2,6,1,4] => [1,3,2,5,4,6] => 2
[3,7,5,2,6,4,1] => [3,5,2,6,4,1] => [1,3,2,5,4,6] => 2
[3,7,5,4,1,2,6] => [3,5,4,1,2,6] => [1,3,4,2,5,6] => 1
[3,7,5,4,1,6,2] => [3,5,4,1,6,2] => [1,3,4,2,5,6] => 1
[3,7,5,4,2,1,6] => [3,5,4,2,1,6] => [1,3,4,2,5,6] => 1
[3,7,5,4,2,6,1] => [3,5,4,2,6,1] => [1,3,4,2,5,6] => 1
[3,7,5,4,6,1,2] => [3,5,4,6,1,2] => [1,3,4,6,2,5] => 1
[3,7,5,4,6,2,1] => [3,5,4,6,2,1] => [1,3,4,6,2,5] => 1
[3,7,5,6,1,2,4] => [3,5,6,1,2,4] => [1,3,6,4,2,5] => 1
[3,7,5,6,1,4,2] => [3,5,6,1,4,2] => [1,3,6,2,5,4] => 2
[3,7,5,6,2,1,4] => [3,5,6,2,1,4] => [1,3,6,4,2,5] => 1
[3,7,5,6,2,4,1] => [3,5,6,2,4,1] => [1,3,6,2,5,4] => 2
[3,7,5,6,4,1,2] => [3,5,6,4,1,2] => [1,3,6,2,5,4] => 2
[3,7,5,6,4,2,1] => [3,5,6,4,2,1] => [1,3,6,2,5,4] => 2
[3,7,6,1,2,4,5] => [3,6,1,2,4,5] => [1,3,2,6,5,4] => 2
[3,7,6,1,2,5,4] => [3,6,1,2,5,4] => [1,3,2,6,4,5] => 2
[3,7,6,1,4,2,5] => [3,6,1,4,2,5] => [1,3,2,6,5,4] => 2
[3,7,6,1,4,5,2] => [3,6,1,4,5,2] => [1,3,2,6,4,5] => 2
[3,7,6,1,5,2,4] => [3,6,1,5,2,4] => [1,3,2,6,4,5] => 2
[3,7,6,1,5,4,2] => [3,6,1,5,4,2] => [1,3,2,6,4,5] => 2
[3,7,6,2,1,4,5] => [3,6,2,1,4,5] => [1,3,2,6,5,4] => 2
[3,7,6,2,1,5,4] => [3,6,2,1,5,4] => [1,3,2,6,4,5] => 2
[3,7,6,2,4,1,5] => [3,6,2,4,1,5] => [1,3,2,6,5,4] => 2
[3,7,6,2,4,5,1] => [3,6,2,4,5,1] => [1,3,2,6,4,5] => 2
[3,7,6,2,5,1,4] => [3,6,2,5,1,4] => [1,3,2,6,4,5] => 2
[3,7,6,2,5,4,1] => [3,6,2,5,4,1] => [1,3,2,6,4,5] => 2
[3,7,6,4,1,2,5] => [3,6,4,1,2,5] => [1,3,4,2,6,5] => 2
[3,7,6,4,1,5,2] => [3,6,4,1,5,2] => [1,3,4,2,6,5] => 2
[3,7,6,4,2,1,5] => [3,6,4,2,1,5] => [1,3,4,2,6,5] => 2
[3,7,6,4,2,5,1] => [3,6,4,2,5,1] => [1,3,4,2,6,5] => 2
[3,7,6,4,5,1,2] => [3,6,4,5,1,2] => [1,3,4,5,2,6] => 1
[3,7,6,4,5,2,1] => [3,6,4,5,2,1] => [1,3,4,5,2,6] => 1
[3,7,6,5,1,2,4] => [3,6,5,1,2,4] => [1,3,5,2,6,4] => 2
[3,7,6,5,1,4,2] => [3,6,5,1,4,2] => [1,3,5,4,2,6] => 1
[3,7,6,5,2,1,4] => [3,6,5,2,1,4] => [1,3,5,2,6,4] => 2
[3,7,6,5,2,4,1] => [3,6,5,2,4,1] => [1,3,5,4,2,6] => 1
[3,7,6,5,4,1,2] => [3,6,5,4,1,2] => [1,3,5,2,6,4] => 2
[3,7,6,5,4,2,1] => [3,6,5,4,2,1] => [1,3,5,2,6,4] => 2
[4,1,2,3,5,6,7] => [4,1,2,3,5,6] => [1,4,3,2,5,6] => 1
[4,1,2,3,5,7,6] => [4,1,2,3,5,6] => [1,4,3,2,5,6] => 1
[4,1,2,3,6,5,7] => [4,1,2,3,6,5] => [1,4,3,2,5,6] => 1
[4,1,2,3,6,7,5] => [4,1,2,3,6,5] => [1,4,3,2,5,6] => 1
[4,1,2,3,7,5,6] => [4,1,2,3,5,6] => [1,4,3,2,5,6] => 1
[4,1,2,3,7,6,5] => [4,1,2,3,6,5] => [1,4,3,2,5,6] => 1
[4,1,2,5,3,6,7] => [4,1,2,5,3,6] => [1,4,5,3,2,6] => 1
[4,1,2,5,3,7,6] => [4,1,2,5,3,6] => [1,4,5,3,2,6] => 1
[4,1,2,5,6,3,7] => [4,1,2,5,6,3] => [1,4,5,6,3,2] => 1
[4,1,2,5,6,7,3] => [4,1,2,5,6,3] => [1,4,5,6,3,2] => 1
[4,1,2,5,7,3,6] => [4,1,2,5,3,6] => [1,4,5,3,2,6] => 1
[4,1,2,5,7,6,3] => [4,1,2,5,6,3] => [1,4,5,6,3,2] => 1
[4,1,2,6,3,5,7] => [4,1,2,6,3,5] => [1,4,6,5,3,2] => 1
[4,1,2,6,3,7,5] => [4,1,2,6,3,5] => [1,4,6,5,3,2] => 1
[4,1,2,6,5,3,7] => [4,1,2,6,5,3] => [1,4,6,3,2,5] => 1
[4,1,2,6,5,7,3] => [4,1,2,6,5,3] => [1,4,6,3,2,5] => 1
[4,1,2,6,7,3,5] => [4,1,2,6,3,5] => [1,4,6,5,3,2] => 1
[4,1,2,6,7,5,3] => [4,1,2,6,5,3] => [1,4,6,3,2,5] => 1
[4,1,2,7,3,5,6] => [4,1,2,3,5,6] => [1,4,3,2,5,6] => 1
[4,1,2,7,3,6,5] => [4,1,2,3,6,5] => [1,4,3,2,5,6] => 1
[4,1,2,7,5,3,6] => [4,1,2,5,3,6] => [1,4,5,3,2,6] => 1
[4,1,2,7,5,6,3] => [4,1,2,5,6,3] => [1,4,5,6,3,2] => 1
[4,1,2,7,6,3,5] => [4,1,2,6,3,5] => [1,4,6,5,3,2] => 1
[4,1,2,7,6,5,3] => [4,1,2,6,5,3] => [1,4,6,3,2,5] => 1
[4,1,3,2,5,6,7] => [4,1,3,2,5,6] => [1,4,2,3,5,6] => 1
[4,1,3,2,5,7,6] => [4,1,3,2,5,6] => [1,4,2,3,5,6] => 1
[4,1,3,2,6,5,7] => [4,1,3,2,6,5] => [1,4,2,3,5,6] => 1
[4,1,3,2,6,7,5] => [4,1,3,2,6,5] => [1,4,2,3,5,6] => 1
[4,1,3,2,7,5,6] => [4,1,3,2,5,6] => [1,4,2,3,5,6] => 1
[4,1,3,2,7,6,5] => [4,1,3,2,6,5] => [1,4,2,3,5,6] => 1
[4,1,3,5,2,6,7] => [4,1,3,5,2,6] => [1,4,5,2,3,6] => 1
[4,1,3,5,2,7,6] => [4,1,3,5,2,6] => [1,4,5,2,3,6] => 1
[4,1,3,5,6,2,7] => [4,1,3,5,6,2] => [1,4,5,6,2,3] => 1
[4,1,3,5,6,7,2] => [4,1,3,5,6,2] => [1,4,5,6,2,3] => 1
[4,1,3,5,7,2,6] => [4,1,3,5,2,6] => [1,4,5,2,3,6] => 1
[4,1,3,5,7,6,2] => [4,1,3,5,6,2] => [1,4,5,6,2,3] => 1
[4,1,3,6,2,5,7] => [4,1,3,6,2,5] => [1,4,6,5,2,3] => 1
[4,1,3,6,2,7,5] => [4,1,3,6,2,5] => [1,4,6,5,2,3] => 1
[4,1,3,6,5,2,7] => [4,1,3,6,5,2] => [1,4,6,2,3,5] => 1
[4,1,3,6,5,7,2] => [4,1,3,6,5,2] => [1,4,6,2,3,5] => 1
[4,1,3,6,7,2,5] => [4,1,3,6,2,5] => [1,4,6,5,2,3] => 1
[4,1,3,6,7,5,2] => [4,1,3,6,5,2] => [1,4,6,2,3,5] => 1
[4,1,3,7,2,5,6] => [4,1,3,2,5,6] => [1,4,2,3,5,6] => 1
[4,1,3,7,2,6,5] => [4,1,3,2,6,5] => [1,4,2,3,5,6] => 1
[4,1,3,7,5,2,6] => [4,1,3,5,2,6] => [1,4,5,2,3,6] => 1
[4,1,3,7,5,6,2] => [4,1,3,5,6,2] => [1,4,5,6,2,3] => 1
[4,1,3,7,6,2,5] => [4,1,3,6,2,5] => [1,4,6,5,2,3] => 1
[4,1,3,7,6,5,2] => [4,1,3,6,5,2] => [1,4,6,2,3,5] => 1
[4,1,5,2,3,6,7] => [4,1,5,2,3,6] => [1,4,2,3,5,6] => 1
[4,1,5,2,3,7,6] => [4,1,5,2,3,6] => [1,4,2,3,5,6] => 1
[4,1,5,2,6,3,7] => [4,1,5,2,6,3] => [1,4,2,3,5,6] => 1
[4,1,5,2,6,7,3] => [4,1,5,2,6,3] => [1,4,2,3,5,6] => 1
[4,1,5,2,7,3,6] => [4,1,5,2,3,6] => [1,4,2,3,5,6] => 1
[4,1,5,2,7,6,3] => [4,1,5,2,6,3] => [1,4,2,3,5,6] => 1
[4,1,5,3,2,6,7] => [4,1,5,3,2,6] => [1,4,3,5,2,6] => 2
[4,1,5,3,2,7,6] => [4,1,5,3,2,6] => [1,4,3,5,2,6] => 2
[4,1,5,3,6,2,7] => [4,1,5,3,6,2] => [1,4,3,5,6,2] => 2
[4,1,5,3,6,7,2] => [4,1,5,3,6,2] => [1,4,3,5,6,2] => 2
[4,1,5,3,7,2,6] => [4,1,5,3,2,6] => [1,4,3,5,2,6] => 2
[4,1,5,3,7,6,2] => [4,1,5,3,6,2] => [1,4,3,5,6,2] => 2
[4,1,5,6,2,3,7] => [4,1,5,6,2,3] => [1,4,6,3,5,2] => 2
[4,1,5,6,2,7,3] => [4,1,5,6,2,3] => [1,4,6,3,5,2] => 2
[4,1,5,6,3,2,7] => [4,1,5,6,3,2] => [1,4,6,2,3,5] => 1
[4,1,5,6,3,7,2] => [4,1,5,6,3,2] => [1,4,6,2,3,5] => 1
[4,1,5,6,7,2,3] => [4,1,5,6,2,3] => [1,4,6,3,5,2] => 2
[4,1,5,6,7,3,2] => [4,1,5,6,3,2] => [1,4,6,2,3,5] => 1
[4,1,5,7,2,3,6] => [4,1,5,2,3,6] => [1,4,2,3,5,6] => 1
[4,1,5,7,2,6,3] => [4,1,5,2,6,3] => [1,4,2,3,5,6] => 1
[4,1,5,7,3,2,6] => [4,1,5,3,2,6] => [1,4,3,5,2,6] => 2
[4,1,5,7,3,6,2] => [4,1,5,3,6,2] => [1,4,3,5,6,2] => 2
[4,1,5,7,6,2,3] => [4,1,5,6,2,3] => [1,4,6,3,5,2] => 2
[4,1,5,7,6,3,2] => [4,1,5,6,3,2] => [1,4,6,2,3,5] => 1
[4,1,6,2,3,5,7] => [4,1,6,2,3,5] => [1,4,2,3,6,5] => 2
[4,1,6,2,3,7,5] => [4,1,6,2,3,5] => [1,4,2,3,6,5] => 2
[4,1,6,2,5,3,7] => [4,1,6,2,5,3] => [1,4,2,3,6,5] => 2
[4,1,6,2,5,7,3] => [4,1,6,2,5,3] => [1,4,2,3,6,5] => 2
[4,1,6,2,7,3,5] => [4,1,6,2,3,5] => [1,4,2,3,6,5] => 2
[4,1,6,2,7,5,3] => [4,1,6,2,5,3] => [1,4,2,3,6,5] => 2
[4,1,6,3,2,5,7] => [4,1,6,3,2,5] => [1,4,3,6,5,2] => 2
[4,1,6,3,2,7,5] => [4,1,6,3,2,5] => [1,4,3,6,5,2] => 2
[4,1,6,3,5,2,7] => [4,1,6,3,5,2] => [1,4,3,6,2,5] => 2
[4,1,6,3,5,7,2] => [4,1,6,3,5,2] => [1,4,3,6,2,5] => 2
[4,1,6,3,7,2,5] => [4,1,6,3,2,5] => [1,4,3,6,5,2] => 2
[4,1,6,3,7,5,2] => [4,1,6,3,5,2] => [1,4,3,6,2,5] => 2
[4,1,6,5,2,3,7] => [4,1,6,5,2,3] => [1,4,5,2,3,6] => 1
[4,1,6,5,2,7,3] => [4,1,6,5,2,3] => [1,4,5,2,3,6] => 1
[4,1,6,5,3,2,7] => [4,1,6,5,3,2] => [1,4,5,3,6,2] => 2
[4,1,6,5,3,7,2] => [4,1,6,5,3,2] => [1,4,5,3,6,2] => 2
[4,1,6,5,7,2,3] => [4,1,6,5,2,3] => [1,4,5,2,3,6] => 1
[4,1,6,5,7,3,2] => [4,1,6,5,3,2] => [1,4,5,3,6,2] => 2
[4,1,6,7,2,3,5] => [4,1,6,2,3,5] => [1,4,2,3,6,5] => 2
[4,1,6,7,2,5,3] => [4,1,6,2,5,3] => [1,4,2,3,6,5] => 2
[4,1,6,7,3,2,5] => [4,1,6,3,2,5] => [1,4,3,6,5,2] => 2
[4,1,6,7,3,5,2] => [4,1,6,3,5,2] => [1,4,3,6,2,5] => 2
[4,1,6,7,5,2,3] => [4,1,6,5,2,3] => [1,4,5,2,3,6] => 1
[4,1,6,7,5,3,2] => [4,1,6,5,3,2] => [1,4,5,3,6,2] => 2
[4,1,7,2,3,5,6] => [4,1,2,3,5,6] => [1,4,3,2,5,6] => 1
[4,1,7,2,3,6,5] => [4,1,2,3,6,5] => [1,4,3,2,5,6] => 1
[4,1,7,2,5,3,6] => [4,1,2,5,3,6] => [1,4,5,3,2,6] => 1
[4,1,7,2,5,6,3] => [4,1,2,5,6,3] => [1,4,5,6,3,2] => 1
[4,1,7,2,6,3,5] => [4,1,2,6,3,5] => [1,4,6,5,3,2] => 1
[4,1,7,2,6,5,3] => [4,1,2,6,5,3] => [1,4,6,3,2,5] => 1
[4,1,7,3,2,5,6] => [4,1,3,2,5,6] => [1,4,2,3,5,6] => 1
[4,1,7,3,2,6,5] => [4,1,3,2,6,5] => [1,4,2,3,5,6] => 1
[4,1,7,3,5,2,6] => [4,1,3,5,2,6] => [1,4,5,2,3,6] => 1
[4,1,7,3,5,6,2] => [4,1,3,5,6,2] => [1,4,5,6,2,3] => 1
[4,1,7,3,6,2,5] => [4,1,3,6,2,5] => [1,4,6,5,2,3] => 1
[4,1,7,3,6,5,2] => [4,1,3,6,5,2] => [1,4,6,2,3,5] => 1
[4,1,7,5,2,3,6] => [4,1,5,2,3,6] => [1,4,2,3,5,6] => 1
[4,1,7,5,2,6,3] => [4,1,5,2,6,3] => [1,4,2,3,5,6] => 1
[4,1,7,5,3,2,6] => [4,1,5,3,2,6] => [1,4,3,5,2,6] => 2
[4,1,7,5,3,6,2] => [4,1,5,3,6,2] => [1,4,3,5,6,2] => 2
[4,1,7,5,6,2,3] => [4,1,5,6,2,3] => [1,4,6,3,5,2] => 2
[4,1,7,5,6,3,2] => [4,1,5,6,3,2] => [1,4,6,2,3,5] => 1
[4,1,7,6,2,3,5] => [4,1,6,2,3,5] => [1,4,2,3,6,5] => 2
[4,1,7,6,2,5,3] => [4,1,6,2,5,3] => [1,4,2,3,6,5] => 2
[4,1,7,6,3,2,5] => [4,1,6,3,2,5] => [1,4,3,6,5,2] => 2
[4,1,7,6,3,5,2] => [4,1,6,3,5,2] => [1,4,3,6,2,5] => 2
[4,1,7,6,5,2,3] => [4,1,6,5,2,3] => [1,4,5,2,3,6] => 1
[4,1,7,6,5,3,2] => [4,1,6,5,3,2] => [1,4,5,3,6,2] => 2
[4,2,1,3,5,6,7] => [4,2,1,3,5,6] => [1,4,3,2,5,6] => 1
[4,2,1,3,5,7,6] => [4,2,1,3,5,6] => [1,4,3,2,5,6] => 1
[4,2,1,3,6,5,7] => [4,2,1,3,6,5] => [1,4,3,2,5,6] => 1
[4,2,1,3,6,7,5] => [4,2,1,3,6,5] => [1,4,3,2,5,6] => 1
[4,2,1,3,7,5,6] => [4,2,1,3,5,6] => [1,4,3,2,5,6] => 1
[4,2,1,3,7,6,5] => [4,2,1,3,6,5] => [1,4,3,2,5,6] => 1
[4,2,1,5,3,6,7] => [4,2,1,5,3,6] => [1,4,5,3,2,6] => 1
[4,2,1,5,3,7,6] => [4,2,1,5,3,6] => [1,4,5,3,2,6] => 1
[4,2,1,5,6,3,7] => [4,2,1,5,6,3] => [1,4,5,6,3,2] => 1
[4,2,1,5,6,7,3] => [4,2,1,5,6,3] => [1,4,5,6,3,2] => 1
[4,2,1,5,7,3,6] => [4,2,1,5,3,6] => [1,4,5,3,2,6] => 1
[4,2,1,5,7,6,3] => [4,2,1,5,6,3] => [1,4,5,6,3,2] => 1
[4,2,1,6,3,5,7] => [4,2,1,6,3,5] => [1,4,6,5,3,2] => 1
[4,2,1,6,3,7,5] => [4,2,1,6,3,5] => [1,4,6,5,3,2] => 1
[4,2,1,6,5,3,7] => [4,2,1,6,5,3] => [1,4,6,3,2,5] => 1
[4,2,1,6,5,7,3] => [4,2,1,6,5,3] => [1,4,6,3,2,5] => 1
[4,2,1,6,7,3,5] => [4,2,1,6,3,5] => [1,4,6,5,3,2] => 1
[4,2,1,6,7,5,3] => [4,2,1,6,5,3] => [1,4,6,3,2,5] => 1
[4,2,1,7,3,5,6] => [4,2,1,3,5,6] => [1,4,3,2,5,6] => 1
[4,2,1,7,3,6,5] => [4,2,1,3,6,5] => [1,4,3,2,5,6] => 1
[4,2,1,7,5,3,6] => [4,2,1,5,3,6] => [1,4,5,3,2,6] => 1
[4,2,1,7,5,6,3] => [4,2,1,5,6,3] => [1,4,5,6,3,2] => 1
[4,2,1,7,6,3,5] => [4,2,1,6,3,5] => [1,4,6,5,3,2] => 1
[4,2,1,7,6,5,3] => [4,2,1,6,5,3] => [1,4,6,3,2,5] => 1
[4,2,3,1,5,6,7] => [4,2,3,1,5,6] => [1,4,2,3,5,6] => 1
[4,2,3,1,5,7,6] => [4,2,3,1,5,6] => [1,4,2,3,5,6] => 1
[4,2,3,1,6,5,7] => [4,2,3,1,6,5] => [1,4,2,3,5,6] => 1
[4,2,3,1,6,7,5] => [4,2,3,1,6,5] => [1,4,2,3,5,6] => 1
[4,2,3,1,7,5,6] => [4,2,3,1,5,6] => [1,4,2,3,5,6] => 1
[4,2,3,1,7,6,5] => [4,2,3,1,6,5] => [1,4,2,3,5,6] => 1
[4,2,3,5,1,6,7] => [4,2,3,5,1,6] => [1,4,5,2,3,6] => 1
[4,2,3,5,1,7,6] => [4,2,3,5,1,6] => [1,4,5,2,3,6] => 1
[4,2,3,5,6,1,7] => [4,2,3,5,6,1] => [1,4,5,6,2,3] => 1
[4,2,3,5,6,7,1] => [4,2,3,5,6,1] => [1,4,5,6,2,3] => 1
[4,2,3,5,7,1,6] => [4,2,3,5,1,6] => [1,4,5,2,3,6] => 1
[4,2,3,5,7,6,1] => [4,2,3,5,6,1] => [1,4,5,6,2,3] => 1
[4,2,3,6,1,5,7] => [4,2,3,6,1,5] => [1,4,6,5,2,3] => 1
[4,2,3,6,1,7,5] => [4,2,3,6,1,5] => [1,4,6,5,2,3] => 1
[4,2,3,6,5,1,7] => [4,2,3,6,5,1] => [1,4,6,2,3,5] => 1
[4,2,3,6,5,7,1] => [4,2,3,6,5,1] => [1,4,6,2,3,5] => 1
[4,2,3,6,7,1,5] => [4,2,3,6,1,5] => [1,4,6,5,2,3] => 1
[4,2,3,6,7,5,1] => [4,2,3,6,5,1] => [1,4,6,2,3,5] => 1
[4,2,3,7,1,5,6] => [4,2,3,1,5,6] => [1,4,2,3,5,6] => 1
[4,2,3,7,1,6,5] => [4,2,3,1,6,5] => [1,4,2,3,5,6] => 1
[4,2,3,7,5,1,6] => [4,2,3,5,1,6] => [1,4,5,2,3,6] => 1
[4,2,3,7,5,6,1] => [4,2,3,5,6,1] => [1,4,5,6,2,3] => 1
[4,2,3,7,6,1,5] => [4,2,3,6,1,5] => [1,4,6,5,2,3] => 1
[4,2,3,7,6,5,1] => [4,2,3,6,5,1] => [1,4,6,2,3,5] => 1
[4,2,5,1,3,6,7] => [4,2,5,1,3,6] => [1,4,2,3,5,6] => 1
[4,2,5,1,3,7,6] => [4,2,5,1,3,6] => [1,4,2,3,5,6] => 1
[4,2,5,1,6,3,7] => [4,2,5,1,6,3] => [1,4,2,3,5,6] => 1
[4,2,5,1,6,7,3] => [4,2,5,1,6,3] => [1,4,2,3,5,6] => 1
[4,2,5,1,7,3,6] => [4,2,5,1,3,6] => [1,4,2,3,5,6] => 1
[4,2,5,1,7,6,3] => [4,2,5,1,6,3] => [1,4,2,3,5,6] => 1
[4,2,5,3,1,6,7] => [4,2,5,3,1,6] => [1,4,3,5,2,6] => 2
[4,2,5,3,1,7,6] => [4,2,5,3,1,6] => [1,4,3,5,2,6] => 2
[4,2,5,3,6,1,7] => [4,2,5,3,6,1] => [1,4,3,5,6,2] => 2
[4,2,5,3,6,7,1] => [4,2,5,3,6,1] => [1,4,3,5,6,2] => 2
[4,2,5,3,7,1,6] => [4,2,5,3,1,6] => [1,4,3,5,2,6] => 2
[4,2,5,3,7,6,1] => [4,2,5,3,6,1] => [1,4,3,5,6,2] => 2
[4,2,5,6,1,3,7] => [4,2,5,6,1,3] => [1,4,6,3,5,2] => 2
[4,2,5,6,1,7,3] => [4,2,5,6,1,3] => [1,4,6,3,5,2] => 2
[4,2,5,6,3,1,7] => [4,2,5,6,3,1] => [1,4,6,2,3,5] => 1
[4,2,5,6,3,7,1] => [4,2,5,6,3,1] => [1,4,6,2,3,5] => 1
[4,2,5,6,7,1,3] => [4,2,5,6,1,3] => [1,4,6,3,5,2] => 2
[4,2,5,6,7,3,1] => [4,2,5,6,3,1] => [1,4,6,2,3,5] => 1
[4,2,5,7,1,3,6] => [4,2,5,1,3,6] => [1,4,2,3,5,6] => 1
[4,2,5,7,1,6,3] => [4,2,5,1,6,3] => [1,4,2,3,5,6] => 1
[4,2,5,7,3,1,6] => [4,2,5,3,1,6] => [1,4,3,5,2,6] => 2
[4,2,5,7,3,6,1] => [4,2,5,3,6,1] => [1,4,3,5,6,2] => 2
[4,2,5,7,6,1,3] => [4,2,5,6,1,3] => [1,4,6,3,5,2] => 2
[4,2,5,7,6,3,1] => [4,2,5,6,3,1] => [1,4,6,2,3,5] => 1
[4,2,6,1,3,5,7] => [4,2,6,1,3,5] => [1,4,2,3,6,5] => 2
[4,2,6,1,3,7,5] => [4,2,6,1,3,5] => [1,4,2,3,6,5] => 2
[4,2,6,1,5,3,7] => [4,2,6,1,5,3] => [1,4,2,3,6,5] => 2
[4,2,6,1,5,7,3] => [4,2,6,1,5,3] => [1,4,2,3,6,5] => 2
[4,2,6,1,7,3,5] => [4,2,6,1,3,5] => [1,4,2,3,6,5] => 2
[4,2,6,1,7,5,3] => [4,2,6,1,5,3] => [1,4,2,3,6,5] => 2
[4,2,6,3,1,5,7] => [4,2,6,3,1,5] => [1,4,3,6,5,2] => 2
[4,2,6,3,1,7,5] => [4,2,6,3,1,5] => [1,4,3,6,5,2] => 2
[4,2,6,3,5,1,7] => [4,2,6,3,5,1] => [1,4,3,6,2,5] => 2
[4,2,6,3,5,7,1] => [4,2,6,3,5,1] => [1,4,3,6,2,5] => 2
[4,2,6,3,7,1,5] => [4,2,6,3,1,5] => [1,4,3,6,5,2] => 2
[4,2,6,3,7,5,1] => [4,2,6,3,5,1] => [1,4,3,6,2,5] => 2
[4,2,6,5,1,3,7] => [4,2,6,5,1,3] => [1,4,5,2,3,6] => 1
[4,2,6,5,1,7,3] => [4,2,6,5,1,3] => [1,4,5,2,3,6] => 1
[4,2,6,5,3,1,7] => [4,2,6,5,3,1] => [1,4,5,3,6,2] => 2
[4,2,6,5,3,7,1] => [4,2,6,5,3,1] => [1,4,5,3,6,2] => 2
[4,2,6,5,7,1,3] => [4,2,6,5,1,3] => [1,4,5,2,3,6] => 1
[4,2,6,5,7,3,1] => [4,2,6,5,3,1] => [1,4,5,3,6,2] => 2
[4,2,6,7,1,3,5] => [4,2,6,1,3,5] => [1,4,2,3,6,5] => 2
[4,2,6,7,1,5,3] => [4,2,6,1,5,3] => [1,4,2,3,6,5] => 2
[4,2,6,7,3,1,5] => [4,2,6,3,1,5] => [1,4,3,6,5,2] => 2
[4,2,6,7,3,5,1] => [4,2,6,3,5,1] => [1,4,3,6,2,5] => 2
[4,2,6,7,5,1,3] => [4,2,6,5,1,3] => [1,4,5,2,3,6] => 1
[4,2,6,7,5,3,1] => [4,2,6,5,3,1] => [1,4,5,3,6,2] => 2
[4,2,7,1,3,5,6] => [4,2,1,3,5,6] => [1,4,3,2,5,6] => 1
[4,2,7,1,3,6,5] => [4,2,1,3,6,5] => [1,4,3,2,5,6] => 1
[4,2,7,1,5,3,6] => [4,2,1,5,3,6] => [1,4,5,3,2,6] => 1
[4,2,7,1,5,6,3] => [4,2,1,5,6,3] => [1,4,5,6,3,2] => 1
[4,2,7,1,6,3,5] => [4,2,1,6,3,5] => [1,4,6,5,3,2] => 1
[4,2,7,1,6,5,3] => [4,2,1,6,5,3] => [1,4,6,3,2,5] => 1
[4,2,7,3,1,5,6] => [4,2,3,1,5,6] => [1,4,2,3,5,6] => 1
[4,2,7,3,1,6,5] => [4,2,3,1,6,5] => [1,4,2,3,5,6] => 1
[4,2,7,3,5,1,6] => [4,2,3,5,1,6] => [1,4,5,2,3,6] => 1
[4,2,7,3,5,6,1] => [4,2,3,5,6,1] => [1,4,5,6,2,3] => 1
[4,2,7,3,6,1,5] => [4,2,3,6,1,5] => [1,4,6,5,2,3] => 1
[4,2,7,3,6,5,1] => [4,2,3,6,5,1] => [1,4,6,2,3,5] => 1
[4,2,7,5,1,3,6] => [4,2,5,1,3,6] => [1,4,2,3,5,6] => 1
[4,2,7,5,1,6,3] => [4,2,5,1,6,3] => [1,4,2,3,5,6] => 1
[4,2,7,5,3,1,6] => [4,2,5,3,1,6] => [1,4,3,5,2,6] => 2
[4,2,7,5,3,6,1] => [4,2,5,3,6,1] => [1,4,3,5,6,2] => 2
[4,2,7,5,6,1,3] => [4,2,5,6,1,3] => [1,4,6,3,5,2] => 2
[4,2,7,5,6,3,1] => [4,2,5,6,3,1] => [1,4,6,2,3,5] => 1
[4,2,7,6,1,3,5] => [4,2,6,1,3,5] => [1,4,2,3,6,5] => 2
[4,2,7,6,1,5,3] => [4,2,6,1,5,3] => [1,4,2,3,6,5] => 2
[4,2,7,6,3,1,5] => [4,2,6,3,1,5] => [1,4,3,6,5,2] => 2
[4,2,7,6,3,5,1] => [4,2,6,3,5,1] => [1,4,3,6,2,5] => 2
[4,2,7,6,5,1,3] => [4,2,6,5,1,3] => [1,4,5,2,3,6] => 1
[4,2,7,6,5,3,1] => [4,2,6,5,3,1] => [1,4,5,3,6,2] => 2
[4,3,1,2,5,6,7] => [4,3,1,2,5,6] => [1,4,2,3,5,6] => 1
[4,3,1,2,5,7,6] => [4,3,1,2,5,6] => [1,4,2,3,5,6] => 1
[4,3,1,2,6,5,7] => [4,3,1,2,6,5] => [1,4,2,3,5,6] => 1
[4,3,1,2,6,7,5] => [4,3,1,2,6,5] => [1,4,2,3,5,6] => 1
[4,3,1,2,7,5,6] => [4,3,1,2,5,6] => [1,4,2,3,5,6] => 1
[4,3,1,2,7,6,5] => [4,3,1,2,6,5] => [1,4,2,3,5,6] => 1
[4,3,1,5,2,6,7] => [4,3,1,5,2,6] => [1,4,5,2,3,6] => 1
[4,3,1,5,2,7,6] => [4,3,1,5,2,6] => [1,4,5,2,3,6] => 1
[4,3,1,5,6,2,7] => [4,3,1,5,6,2] => [1,4,5,6,2,3] => 1
[4,3,1,5,6,7,2] => [4,3,1,5,6,2] => [1,4,5,6,2,3] => 1
[4,3,1,5,7,2,6] => [4,3,1,5,2,6] => [1,4,5,2,3,6] => 1
[4,3,1,5,7,6,2] => [4,3,1,5,6,2] => [1,4,5,6,2,3] => 1
[4,3,1,6,2,5,7] => [4,3,1,6,2,5] => [1,4,6,5,2,3] => 1
[4,3,1,6,2,7,5] => [4,3,1,6,2,5] => [1,4,6,5,2,3] => 1
[4,3,1,6,5,2,7] => [4,3,1,6,5,2] => [1,4,6,2,3,5] => 1
[4,3,1,6,5,7,2] => [4,3,1,6,5,2] => [1,4,6,2,3,5] => 1
[4,3,1,6,7,2,5] => [4,3,1,6,2,5] => [1,4,6,5,2,3] => 1
[4,3,1,6,7,5,2] => [4,3,1,6,5,2] => [1,4,6,2,3,5] => 1
[4,3,1,7,2,5,6] => [4,3,1,2,5,6] => [1,4,2,3,5,6] => 1
[4,3,1,7,2,6,5] => [4,3,1,2,6,5] => [1,4,2,3,5,6] => 1
[4,3,1,7,5,2,6] => [4,3,1,5,2,6] => [1,4,5,2,3,6] => 1
[4,3,1,7,5,6,2] => [4,3,1,5,6,2] => [1,4,5,6,2,3] => 1
[4,3,1,7,6,2,5] => [4,3,1,6,2,5] => [1,4,6,5,2,3] => 1
[4,3,1,7,6,5,2] => [4,3,1,6,5,2] => [1,4,6,2,3,5] => 1
[4,3,2,1,5,6,7] => [4,3,2,1,5,6] => [1,4,2,3,5,6] => 1
[4,3,2,1,5,7,6] => [4,3,2,1,5,6] => [1,4,2,3,5,6] => 1
[4,3,2,1,6,5,7] => [4,3,2,1,6,5] => [1,4,2,3,5,6] => 1
[4,3,2,1,6,7,5] => [4,3,2,1,6,5] => [1,4,2,3,5,6] => 1
[4,3,2,1,7,5,6] => [4,3,2,1,5,6] => [1,4,2,3,5,6] => 1
[4,3,2,1,7,6,5] => [4,3,2,1,6,5] => [1,4,2,3,5,6] => 1
[4,3,2,5,1,6,7] => [4,3,2,5,1,6] => [1,4,5,2,3,6] => 1
[4,3,2,5,1,7,6] => [4,3,2,5,1,6] => [1,4,5,2,3,6] => 1
[4,3,2,5,6,1,7] => [4,3,2,5,6,1] => [1,4,5,6,2,3] => 1
[4,3,2,5,6,7,1] => [4,3,2,5,6,1] => [1,4,5,6,2,3] => 1
[4,3,2,5,7,1,6] => [4,3,2,5,1,6] => [1,4,5,2,3,6] => 1
[4,3,2,5,7,6,1] => [4,3,2,5,6,1] => [1,4,5,6,2,3] => 1
[4,3,2,6,1,5,7] => [4,3,2,6,1,5] => [1,4,6,5,2,3] => 1
[4,3,2,6,1,7,5] => [4,3,2,6,1,5] => [1,4,6,5,2,3] => 1
[4,3,2,6,5,1,7] => [4,3,2,6,5,1] => [1,4,6,2,3,5] => 1
[4,3,2,6,5,7,1] => [4,3,2,6,5,1] => [1,4,6,2,3,5] => 1
[4,3,2,6,7,1,5] => [4,3,2,6,1,5] => [1,4,6,5,2,3] => 1
[4,3,2,6,7,5,1] => [4,3,2,6,5,1] => [1,4,6,2,3,5] => 1
[4,3,2,7,1,5,6] => [4,3,2,1,5,6] => [1,4,2,3,5,6] => 1
[4,3,2,7,1,6,5] => [4,3,2,1,6,5] => [1,4,2,3,5,6] => 1
[4,3,2,7,5,1,6] => [4,3,2,5,1,6] => [1,4,5,2,3,6] => 1
[4,3,2,7,5,6,1] => [4,3,2,5,6,1] => [1,4,5,6,2,3] => 1
[4,3,2,7,6,1,5] => [4,3,2,6,1,5] => [1,4,6,5,2,3] => 1
[4,3,2,7,6,5,1] => [4,3,2,6,5,1] => [1,4,6,2,3,5] => 1
[4,3,5,1,2,6,7] => [4,3,5,1,2,6] => [1,4,2,3,5,6] => 1
[4,3,5,1,2,7,6] => [4,3,5,1,2,6] => [1,4,2,3,5,6] => 1
[4,3,5,1,6,2,7] => [4,3,5,1,6,2] => [1,4,2,3,5,6] => 1
[4,3,5,1,6,7,2] => [4,3,5,1,6,2] => [1,4,2,3,5,6] => 1
[4,3,5,1,7,2,6] => [4,3,5,1,2,6] => [1,4,2,3,5,6] => 1
[4,3,5,1,7,6,2] => [4,3,5,1,6,2] => [1,4,2,3,5,6] => 1
[4,3,5,2,1,6,7] => [4,3,5,2,1,6] => [1,4,2,3,5,6] => 1
[4,3,5,2,1,7,6] => [4,3,5,2,1,6] => [1,4,2,3,5,6] => 1
[4,3,5,2,6,1,7] => [4,3,5,2,6,1] => [1,4,2,3,5,6] => 1
[4,3,5,2,6,7,1] => [4,3,5,2,6,1] => [1,4,2,3,5,6] => 1
[4,3,5,2,7,1,6] => [4,3,5,2,1,6] => [1,4,2,3,5,6] => 1
[4,3,5,2,7,6,1] => [4,3,5,2,6,1] => [1,4,2,3,5,6] => 1
[4,3,5,6,1,2,7] => [4,3,5,6,1,2] => [1,4,6,2,3,5] => 1
[4,3,5,6,1,7,2] => [4,3,5,6,1,2] => [1,4,6,2,3,5] => 1
[4,3,5,6,2,1,7] => [4,3,5,6,2,1] => [1,4,6,2,3,5] => 1
[4,3,5,6,2,7,1] => [4,3,5,6,2,1] => [1,4,6,2,3,5] => 1
[4,3,5,6,7,1,2] => [4,3,5,6,1,2] => [1,4,6,2,3,5] => 1
[4,3,5,6,7,2,1] => [4,3,5,6,2,1] => [1,4,6,2,3,5] => 1
[4,3,5,7,1,2,6] => [4,3,5,1,2,6] => [1,4,2,3,5,6] => 1
[4,3,5,7,1,6,2] => [4,3,5,1,6,2] => [1,4,2,3,5,6] => 1
[4,3,5,7,2,1,6] => [4,3,5,2,1,6] => [1,4,2,3,5,6] => 1
[4,3,5,7,2,6,1] => [4,3,5,2,6,1] => [1,4,2,3,5,6] => 1
[4,3,5,7,6,1,2] => [4,3,5,6,1,2] => [1,4,6,2,3,5] => 1
[4,3,5,7,6,2,1] => [4,3,5,6,2,1] => [1,4,6,2,3,5] => 1
[4,3,6,1,2,5,7] => [4,3,6,1,2,5] => [1,4,2,3,6,5] => 2
[4,3,6,1,2,7,5] => [4,3,6,1,2,5] => [1,4,2,3,6,5] => 2
[4,3,6,1,5,2,7] => [4,3,6,1,5,2] => [1,4,2,3,6,5] => 2
[4,3,6,1,5,7,2] => [4,3,6,1,5,2] => [1,4,2,3,6,5] => 2
[4,3,6,1,7,2,5] => [4,3,6,1,2,5] => [1,4,2,3,6,5] => 2
[4,3,6,1,7,5,2] => [4,3,6,1,5,2] => [1,4,2,3,6,5] => 2
[4,3,6,2,1,5,7] => [4,3,6,2,1,5] => [1,4,2,3,6,5] => 2
[4,3,6,2,1,7,5] => [4,3,6,2,1,5] => [1,4,2,3,6,5] => 2
[4,3,6,2,5,1,7] => [4,3,6,2,5,1] => [1,4,2,3,6,5] => 2
[4,3,6,2,5,7,1] => [4,3,6,2,5,1] => [1,4,2,3,6,5] => 2
[4,3,6,2,7,1,5] => [4,3,6,2,1,5] => [1,4,2,3,6,5] => 2
[4,3,6,2,7,5,1] => [4,3,6,2,5,1] => [1,4,2,3,6,5] => 2
[4,3,6,5,1,2,7] => [4,3,6,5,1,2] => [1,4,5,2,3,6] => 1
[4,3,6,5,1,7,2] => [4,3,6,5,1,2] => [1,4,5,2,3,6] => 1
[4,3,6,5,2,1,7] => [4,3,6,5,2,1] => [1,4,5,2,3,6] => 1
[4,3,6,5,2,7,1] => [4,3,6,5,2,1] => [1,4,5,2,3,6] => 1
[4,3,6,5,7,1,2] => [4,3,6,5,1,2] => [1,4,5,2,3,6] => 1
[4,3,6,5,7,2,1] => [4,3,6,5,2,1] => [1,4,5,2,3,6] => 1
[4,3,6,7,1,2,5] => [4,3,6,1,2,5] => [1,4,2,3,6,5] => 2
[4,3,6,7,1,5,2] => [4,3,6,1,5,2] => [1,4,2,3,6,5] => 2
[4,3,6,7,2,1,5] => [4,3,6,2,1,5] => [1,4,2,3,6,5] => 2
[4,3,6,7,2,5,1] => [4,3,6,2,5,1] => [1,4,2,3,6,5] => 2
[4,3,6,7,5,1,2] => [4,3,6,5,1,2] => [1,4,5,2,3,6] => 1
[4,3,6,7,5,2,1] => [4,3,6,5,2,1] => [1,4,5,2,3,6] => 1
[4,3,7,1,2,5,6] => [4,3,1,2,5,6] => [1,4,2,3,5,6] => 1
[4,3,7,1,2,6,5] => [4,3,1,2,6,5] => [1,4,2,3,5,6] => 1
[4,3,7,1,5,2,6] => [4,3,1,5,2,6] => [1,4,5,2,3,6] => 1
[4,3,7,1,5,6,2] => [4,3,1,5,6,2] => [1,4,5,6,2,3] => 1
[4,3,7,1,6,2,5] => [4,3,1,6,2,5] => [1,4,6,5,2,3] => 1
[4,3,7,1,6,5,2] => [4,3,1,6,5,2] => [1,4,6,2,3,5] => 1
[4,3,7,2,1,5,6] => [4,3,2,1,5,6] => [1,4,2,3,5,6] => 1
[4,3,7,2,1,6,5] => [4,3,2,1,6,5] => [1,4,2,3,5,6] => 1
[4,3,7,2,5,1,6] => [4,3,2,5,1,6] => [1,4,5,2,3,6] => 1
[4,3,7,2,5,6,1] => [4,3,2,5,6,1] => [1,4,5,6,2,3] => 1
[4,3,7,2,6,1,5] => [4,3,2,6,1,5] => [1,4,6,5,2,3] => 1
[4,3,7,2,6,5,1] => [4,3,2,6,5,1] => [1,4,6,2,3,5] => 1
[4,3,7,5,1,2,6] => [4,3,5,1,2,6] => [1,4,2,3,5,6] => 1
[4,3,7,5,1,6,2] => [4,3,5,1,6,2] => [1,4,2,3,5,6] => 1
[4,3,7,5,2,1,6] => [4,3,5,2,1,6] => [1,4,2,3,5,6] => 1
[4,3,7,5,2,6,1] => [4,3,5,2,6,1] => [1,4,2,3,5,6] => 1
[4,3,7,5,6,1,2] => [4,3,5,6,1,2] => [1,4,6,2,3,5] => 1
[4,3,7,5,6,2,1] => [4,3,5,6,2,1] => [1,4,6,2,3,5] => 1
[4,3,7,6,1,2,5] => [4,3,6,1,2,5] => [1,4,2,3,6,5] => 2
[4,3,7,6,1,5,2] => [4,3,6,1,5,2] => [1,4,2,3,6,5] => 2
[4,3,7,6,2,1,5] => [4,3,6,2,1,5] => [1,4,2,3,6,5] => 2
[4,3,7,6,2,5,1] => [4,3,6,2,5,1] => [1,4,2,3,6,5] => 2
[4,3,7,6,5,1,2] => [4,3,6,5,1,2] => [1,4,5,2,3,6] => 1
[4,3,7,6,5,2,1] => [4,3,6,5,2,1] => [1,4,5,2,3,6] => 1
[4,5,1,2,3,6,7] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => 2
[4,5,1,2,3,7,6] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => 2
[4,5,1,2,6,3,7] => [4,5,1,2,6,3] => [1,4,2,5,6,3] => 2
[4,5,1,2,6,7,3] => [4,5,1,2,6,3] => [1,4,2,5,6,3] => 2
[4,5,1,2,7,3,6] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => 2
[4,5,1,2,7,6,3] => [4,5,1,2,6,3] => [1,4,2,5,6,3] => 2
[4,5,1,3,2,6,7] => [4,5,1,3,2,6] => [1,4,3,2,5,6] => 1
[4,5,1,3,2,7,6] => [4,5,1,3,2,6] => [1,4,3,2,5,6] => 1
[4,5,1,3,6,2,7] => [4,5,1,3,6,2] => [1,4,3,2,5,6] => 1
[4,5,1,3,6,7,2] => [4,5,1,3,6,2] => [1,4,3,2,5,6] => 1
[4,5,1,3,7,2,6] => [4,5,1,3,2,6] => [1,4,3,2,5,6] => 1
[4,5,1,3,7,6,2] => [4,5,1,3,6,2] => [1,4,3,2,5,6] => 1
[4,5,1,6,2,3,7] => [4,5,1,6,2,3] => [1,4,6,3,2,5] => 1
[4,5,1,6,2,7,3] => [4,5,1,6,2,3] => [1,4,6,3,2,5] => 1
[4,5,1,6,3,2,7] => [4,5,1,6,3,2] => [1,4,6,2,5,3] => 2
[4,5,1,6,3,7,2] => [4,5,1,6,3,2] => [1,4,6,2,5,3] => 2
[4,5,1,6,7,2,3] => [4,5,1,6,2,3] => [1,4,6,3,2,5] => 1
[4,5,1,6,7,3,2] => [4,5,1,6,3,2] => [1,4,6,2,5,3] => 2
[4,5,1,7,2,3,6] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => 2
[4,5,1,7,2,6,3] => [4,5,1,2,6,3] => [1,4,2,5,6,3] => 2
[4,5,1,7,3,2,6] => [4,5,1,3,2,6] => [1,4,3,2,5,6] => 1
[4,5,1,7,3,6,2] => [4,5,1,3,6,2] => [1,4,3,2,5,6] => 1
[4,5,1,7,6,2,3] => [4,5,1,6,2,3] => [1,4,6,3,2,5] => 1
[4,5,1,7,6,3,2] => [4,5,1,6,3,2] => [1,4,6,2,5,3] => 2
[4,5,2,1,3,6,7] => [4,5,2,1,3,6] => [1,4,2,5,3,6] => 2
[4,5,2,1,3,7,6] => [4,5,2,1,3,6] => [1,4,2,5,3,6] => 2
[4,5,2,1,6,3,7] => [4,5,2,1,6,3] => [1,4,2,5,6,3] => 2
[4,5,2,1,6,7,3] => [4,5,2,1,6,3] => [1,4,2,5,6,3] => 2
[4,5,2,1,7,3,6] => [4,5,2,1,3,6] => [1,4,2,5,3,6] => 2
[4,5,2,1,7,6,3] => [4,5,2,1,6,3] => [1,4,2,5,6,3] => 2
[4,5,2,3,1,6,7] => [4,5,2,3,1,6] => [1,4,3,2,5,6] => 1
[4,5,2,3,1,7,6] => [4,5,2,3,1,6] => [1,4,3,2,5,6] => 1
[4,5,2,3,6,1,7] => [4,5,2,3,6,1] => [1,4,3,2,5,6] => 1
[4,5,2,3,6,7,1] => [4,5,2,3,6,1] => [1,4,3,2,5,6] => 1
[4,5,2,3,7,1,6] => [4,5,2,3,1,6] => [1,4,3,2,5,6] => 1
[4,5,2,3,7,6,1] => [4,5,2,3,6,1] => [1,4,3,2,5,6] => 1
[4,5,2,6,1,3,7] => [4,5,2,6,1,3] => [1,4,6,3,2,5] => 1
[4,5,2,6,1,7,3] => [4,5,2,6,1,3] => [1,4,6,3,2,5] => 1
[4,5,2,6,3,1,7] => [4,5,2,6,3,1] => [1,4,6,2,5,3] => 2
[4,5,2,6,3,7,1] => [4,5,2,6,3,1] => [1,4,6,2,5,3] => 2
[4,5,2,6,7,1,3] => [4,5,2,6,1,3] => [1,4,6,3,2,5] => 1
[4,5,2,6,7,3,1] => [4,5,2,6,3,1] => [1,4,6,2,5,3] => 2
[4,5,2,7,1,3,6] => [4,5,2,1,3,6] => [1,4,2,5,3,6] => 2
[4,5,2,7,1,6,3] => [4,5,2,1,6,3] => [1,4,2,5,6,3] => 2
[4,5,2,7,3,1,6] => [4,5,2,3,1,6] => [1,4,3,2,5,6] => 1
[4,5,2,7,3,6,1] => [4,5,2,3,6,1] => [1,4,3,2,5,6] => 1
[4,5,2,7,6,1,3] => [4,5,2,6,1,3] => [1,4,6,3,2,5] => 1
[4,5,2,7,6,3,1] => [4,5,2,6,3,1] => [1,4,6,2,5,3] => 2
[4,5,3,1,2,6,7] => [4,5,3,1,2,6] => [1,4,2,5,3,6] => 2
[4,5,3,1,2,7,6] => [4,5,3,1,2,6] => [1,4,2,5,3,6] => 2
[4,5,3,1,6,2,7] => [4,5,3,1,6,2] => [1,4,2,5,6,3] => 2
[4,5,3,1,6,7,2] => [4,5,3,1,6,2] => [1,4,2,5,6,3] => 2
[4,5,3,1,7,2,6] => [4,5,3,1,2,6] => [1,4,2,5,3,6] => 2
[4,5,3,1,7,6,2] => [4,5,3,1,6,2] => [1,4,2,5,6,3] => 2
[4,5,3,2,1,6,7] => [4,5,3,2,1,6] => [1,4,2,5,3,6] => 2
[4,5,3,2,1,7,6] => [4,5,3,2,1,6] => [1,4,2,5,3,6] => 2
[4,5,3,2,6,1,7] => [4,5,3,2,6,1] => [1,4,2,5,6,3] => 2
[4,5,3,2,6,7,1] => [4,5,3,2,6,1] => [1,4,2,5,6,3] => 2
[4,5,3,2,7,1,6] => [4,5,3,2,1,6] => [1,4,2,5,3,6] => 2
[4,5,3,2,7,6,1] => [4,5,3,2,6,1] => [1,4,2,5,6,3] => 2
[4,5,3,6,1,2,7] => [4,5,3,6,1,2] => [1,4,6,2,5,3] => 2
[4,5,3,6,1,7,2] => [4,5,3,6,1,2] => [1,4,6,2,5,3] => 2
[4,5,3,6,2,1,7] => [4,5,3,6,2,1] => [1,4,6,2,5,3] => 2
[4,5,3,6,2,7,1] => [4,5,3,6,2,1] => [1,4,6,2,5,3] => 2
[4,5,3,6,7,1,2] => [4,5,3,6,1,2] => [1,4,6,2,5,3] => 2
[4,5,3,6,7,2,1] => [4,5,3,6,2,1] => [1,4,6,2,5,3] => 2
[4,5,3,7,1,2,6] => [4,5,3,1,2,6] => [1,4,2,5,3,6] => 2
[4,5,3,7,1,6,2] => [4,5,3,1,6,2] => [1,4,2,5,6,3] => 2
[4,5,3,7,2,1,6] => [4,5,3,2,1,6] => [1,4,2,5,3,6] => 2
[4,5,3,7,2,6,1] => [4,5,3,2,6,1] => [1,4,2,5,6,3] => 2
[4,5,3,7,6,1,2] => [4,5,3,6,1,2] => [1,4,6,2,5,3] => 2
[4,5,3,7,6,2,1] => [4,5,3,6,2,1] => [1,4,6,2,5,3] => 2
[4,5,6,1,2,3,7] => [4,5,6,1,2,3] => [1,4,2,5,3,6] => 2
[4,5,6,1,2,7,3] => [4,5,6,1,2,3] => [1,4,2,5,3,6] => 2
[4,5,6,1,3,2,7] => [4,5,6,1,3,2] => [1,4,2,5,3,6] => 2
[4,5,6,1,3,7,2] => [4,5,6,1,3,2] => [1,4,2,5,3,6] => 2
[4,5,6,1,7,2,3] => [4,5,6,1,2,3] => [1,4,2,5,3,6] => 2
[4,5,6,1,7,3,2] => [4,5,6,1,3,2] => [1,4,2,5,3,6] => 2
[4,5,6,2,1,3,7] => [4,5,6,2,1,3] => [1,4,2,5,3,6] => 2
[4,5,6,2,1,7,3] => [4,5,6,2,1,3] => [1,4,2,5,3,6] => 2
[4,5,6,2,3,1,7] => [4,5,6,2,3,1] => [1,4,2,5,3,6] => 2
[4,5,6,2,3,7,1] => [4,5,6,2,3,1] => [1,4,2,5,3,6] => 2
[4,5,6,2,7,1,3] => [4,5,6,2,1,3] => [1,4,2,5,3,6] => 2
[4,5,6,2,7,3,1] => [4,5,6,2,3,1] => [1,4,2,5,3,6] => 2
[4,5,6,3,1,2,7] => [4,5,6,3,1,2] => [1,4,3,6,2,5] => 2
[4,5,6,3,1,7,2] => [4,5,6,3,1,2] => [1,4,3,6,2,5] => 2
[4,5,6,3,2,1,7] => [4,5,6,3,2,1] => [1,4,3,6,2,5] => 2
[4,5,6,3,2,7,1] => [4,5,6,3,2,1] => [1,4,3,6,2,5] => 2
[4,5,6,3,7,1,2] => [4,5,6,3,1,2] => [1,4,3,6,2,5] => 2
[4,5,6,3,7,2,1] => [4,5,6,3,2,1] => [1,4,3,6,2,5] => 2
[4,5,6,7,1,2,3] => [4,5,6,1,2,3] => [1,4,2,5,3,6] => 2
[4,5,6,7,1,3,2] => [4,5,6,1,3,2] => [1,4,2,5,3,6] => 2
[4,5,6,7,2,1,3] => [4,5,6,2,1,3] => [1,4,2,5,3,6] => 2
[4,5,6,7,2,3,1] => [4,5,6,2,3,1] => [1,4,2,5,3,6] => 2
[4,5,6,7,3,1,2] => [4,5,6,3,1,2] => [1,4,3,6,2,5] => 2
[4,5,6,7,3,2,1] => [4,5,6,3,2,1] => [1,4,3,6,2,5] => 2
[4,5,7,1,2,3,6] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => 2
[4,5,7,1,2,6,3] => [4,5,1,2,6,3] => [1,4,2,5,6,3] => 2
[4,5,7,1,3,2,6] => [4,5,1,3,2,6] => [1,4,3,2,5,6] => 1
[4,5,7,1,3,6,2] => [4,5,1,3,6,2] => [1,4,3,2,5,6] => 1
[4,5,7,1,6,2,3] => [4,5,1,6,2,3] => [1,4,6,3,2,5] => 1
[4,5,7,1,6,3,2] => [4,5,1,6,3,2] => [1,4,6,2,5,3] => 2
[4,5,7,2,1,3,6] => [4,5,2,1,3,6] => [1,4,2,5,3,6] => 2
[4,5,7,2,1,6,3] => [4,5,2,1,6,3] => [1,4,2,5,6,3] => 2
[4,5,7,2,3,1,6] => [4,5,2,3,1,6] => [1,4,3,2,5,6] => 1
[4,5,7,2,3,6,1] => [4,5,2,3,6,1] => [1,4,3,2,5,6] => 1
[4,5,7,2,6,1,3] => [4,5,2,6,1,3] => [1,4,6,3,2,5] => 1
[4,5,7,2,6,3,1] => [4,5,2,6,3,1] => [1,4,6,2,5,3] => 2
[4,5,7,3,1,2,6] => [4,5,3,1,2,6] => [1,4,2,5,3,6] => 2
[4,5,7,3,1,6,2] => [4,5,3,1,6,2] => [1,4,2,5,6,3] => 2
[4,5,7,3,2,1,6] => [4,5,3,2,1,6] => [1,4,2,5,3,6] => 2
[4,5,7,3,2,6,1] => [4,5,3,2,6,1] => [1,4,2,5,6,3] => 2
[4,5,7,3,6,1,2] => [4,5,3,6,1,2] => [1,4,6,2,5,3] => 2
[4,5,7,3,6,2,1] => [4,5,3,6,2,1] => [1,4,6,2,5,3] => 2
[4,5,7,6,1,2,3] => [4,5,6,1,2,3] => [1,4,2,5,3,6] => 2
[4,5,7,6,1,3,2] => [4,5,6,1,3,2] => [1,4,2,5,3,6] => 2
[4,5,7,6,2,1,3] => [4,5,6,2,1,3] => [1,4,2,5,3,6] => 2
[4,5,7,6,2,3,1] => [4,5,6,2,3,1] => [1,4,2,5,3,6] => 2
[4,5,7,6,3,1,2] => [4,5,6,3,1,2] => [1,4,3,6,2,5] => 2
[4,5,7,6,3,2,1] => [4,5,6,3,2,1] => [1,4,3,6,2,5] => 2
[4,6,1,2,3,5,7] => [4,6,1,2,3,5] => [1,4,2,6,5,3] => 2
[4,6,1,2,3,7,5] => [4,6,1,2,3,5] => [1,4,2,6,5,3] => 2
[4,6,1,2,5,3,7] => [4,6,1,2,5,3] => [1,4,2,6,3,5] => 2
[4,6,1,2,5,7,3] => [4,6,1,2,5,3] => [1,4,2,6,3,5] => 2
[4,6,1,2,7,3,5] => [4,6,1,2,3,5] => [1,4,2,6,5,3] => 2
[4,6,1,2,7,5,3] => [4,6,1,2,5,3] => [1,4,2,6,3,5] => 2
[4,6,1,3,2,5,7] => [4,6,1,3,2,5] => [1,4,3,2,6,5] => 2
[4,6,1,3,2,7,5] => [4,6,1,3,2,5] => [1,4,3,2,6,5] => 2
[4,6,1,3,5,2,7] => [4,6,1,3,5,2] => [1,4,3,2,6,5] => 2
[4,6,1,3,5,7,2] => [4,6,1,3,5,2] => [1,4,3,2,6,5] => 2
[4,6,1,3,7,2,5] => [4,6,1,3,2,5] => [1,4,3,2,6,5] => 2
[4,6,1,3,7,5,2] => [4,6,1,3,5,2] => [1,4,3,2,6,5] => 2
[4,6,1,5,2,3,7] => [4,6,1,5,2,3] => [1,4,5,2,6,3] => 2
[4,6,1,5,2,7,3] => [4,6,1,5,2,3] => [1,4,5,2,6,3] => 2
[4,6,1,5,3,2,7] => [4,6,1,5,3,2] => [1,4,5,3,2,6] => 1
[4,6,1,5,3,7,2] => [4,6,1,5,3,2] => [1,4,5,3,2,6] => 1
[4,6,1,5,7,2,3] => [4,6,1,5,2,3] => [1,4,5,2,6,3] => 2
[4,6,1,5,7,3,2] => [4,6,1,5,3,2] => [1,4,5,3,2,6] => 1
[4,6,1,7,2,3,5] => [4,6,1,2,3,5] => [1,4,2,6,5,3] => 2
[4,6,1,7,2,5,3] => [4,6,1,2,5,3] => [1,4,2,6,3,5] => 2
[4,6,1,7,3,2,5] => [4,6,1,3,2,5] => [1,4,3,2,6,5] => 2
[4,6,1,7,3,5,2] => [4,6,1,3,5,2] => [1,4,3,2,6,5] => 2
[4,6,1,7,5,2,3] => [4,6,1,5,2,3] => [1,4,5,2,6,3] => 2
[4,6,1,7,5,3,2] => [4,6,1,5,3,2] => [1,4,5,3,2,6] => 1
[4,6,2,1,3,5,7] => [4,6,2,1,3,5] => [1,4,2,6,5,3] => 2
[4,6,2,1,3,7,5] => [4,6,2,1,3,5] => [1,4,2,6,5,3] => 2
[4,6,2,1,5,3,7] => [4,6,2,1,5,3] => [1,4,2,6,3,5] => 2
[4,6,2,1,5,7,3] => [4,6,2,1,5,3] => [1,4,2,6,3,5] => 2
[4,6,2,1,7,3,5] => [4,6,2,1,3,5] => [1,4,2,6,5,3] => 2
[4,6,2,1,7,5,3] => [4,6,2,1,5,3] => [1,4,2,6,3,5] => 2
[4,6,2,3,1,5,7] => [4,6,2,3,1,5] => [1,4,3,2,6,5] => 2
[4,6,2,3,1,7,5] => [4,6,2,3,1,5] => [1,4,3,2,6,5] => 2
[4,6,2,3,5,1,7] => [4,6,2,3,5,1] => [1,4,3,2,6,5] => 2
[4,6,2,3,5,7,1] => [4,6,2,3,5,1] => [1,4,3,2,6,5] => 2
[4,6,2,3,7,1,5] => [4,6,2,3,1,5] => [1,4,3,2,6,5] => 2
[4,6,2,3,7,5,1] => [4,6,2,3,5,1] => [1,4,3,2,6,5] => 2
[4,6,2,5,1,3,7] => [4,6,2,5,1,3] => [1,4,5,2,6,3] => 2
[4,6,2,5,1,7,3] => [4,6,2,5,1,3] => [1,4,5,2,6,3] => 2
[4,6,2,5,3,1,7] => [4,6,2,5,3,1] => [1,4,5,3,2,6] => 1
[4,6,2,5,3,7,1] => [4,6,2,5,3,1] => [1,4,5,3,2,6] => 1
[4,6,2,5,7,1,3] => [4,6,2,5,1,3] => [1,4,5,2,6,3] => 2
[4,6,2,5,7,3,1] => [4,6,2,5,3,1] => [1,4,5,3,2,6] => 1
[4,6,2,7,1,3,5] => [4,6,2,1,3,5] => [1,4,2,6,5,3] => 2
[4,6,2,7,1,5,3] => [4,6,2,1,5,3] => [1,4,2,6,3,5] => 2
[4,6,2,7,3,1,5] => [4,6,2,3,1,5] => [1,4,3,2,6,5] => 2
[4,6,2,7,3,5,1] => [4,6,2,3,5,1] => [1,4,3,2,6,5] => 2
[4,6,2,7,5,1,3] => [4,6,2,5,1,3] => [1,4,5,2,6,3] => 2
[4,6,2,7,5,3,1] => [4,6,2,5,3,1] => [1,4,5,3,2,6] => 1
[4,6,3,1,2,5,7] => [4,6,3,1,2,5] => [1,4,2,6,5,3] => 2
[4,6,3,1,2,7,5] => [4,6,3,1,2,5] => [1,4,2,6,5,3] => 2
[4,6,3,1,5,2,7] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => 2
[4,6,3,1,5,7,2] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => 2
[4,6,3,1,7,2,5] => [4,6,3,1,2,5] => [1,4,2,6,5,3] => 2
[4,6,3,1,7,5,2] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => 2
[4,6,3,2,1,5,7] => [4,6,3,2,1,5] => [1,4,2,6,5,3] => 2
[4,6,3,2,1,7,5] => [4,6,3,2,1,5] => [1,4,2,6,5,3] => 2
[4,6,3,2,5,1,7] => [4,6,3,2,5,1] => [1,4,2,6,3,5] => 2
[4,6,3,2,5,7,1] => [4,6,3,2,5,1] => [1,4,2,6,3,5] => 2
[4,6,3,2,7,1,5] => [4,6,3,2,1,5] => [1,4,2,6,5,3] => 2
[4,6,3,2,7,5,1] => [4,6,3,2,5,1] => [1,4,2,6,3,5] => 2
[4,6,3,5,1,2,7] => [4,6,3,5,1,2] => [1,4,5,2,6,3] => 2
[4,6,3,5,1,7,2] => [4,6,3,5,1,2] => [1,4,5,2,6,3] => 2
[4,6,3,5,2,1,7] => [4,6,3,5,2,1] => [1,4,5,2,6,3] => 2
[4,6,3,5,2,7,1] => [4,6,3,5,2,1] => [1,4,5,2,6,3] => 2
[4,6,3,5,7,1,2] => [4,6,3,5,1,2] => [1,4,5,2,6,3] => 2
[4,6,3,5,7,2,1] => [4,6,3,5,2,1] => [1,4,5,2,6,3] => 2
[4,6,3,7,1,2,5] => [4,6,3,1,2,5] => [1,4,2,6,5,3] => 2
[4,6,3,7,1,5,2] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => 2
[4,6,3,7,2,1,5] => [4,6,3,2,1,5] => [1,4,2,6,5,3] => 2
[4,6,3,7,2,5,1] => [4,6,3,2,5,1] => [1,4,2,6,3,5] => 2
[4,6,3,7,5,1,2] => [4,6,3,5,1,2] => [1,4,5,2,6,3] => 2
[4,6,3,7,5,2,1] => [4,6,3,5,2,1] => [1,4,5,2,6,3] => 2
[4,6,5,1,2,3,7] => [4,6,5,1,2,3] => [1,4,2,6,3,5] => 2
[4,6,5,1,2,7,3] => [4,6,5,1,2,3] => [1,4,2,6,3,5] => 2
[4,6,5,1,3,2,7] => [4,6,5,1,3,2] => [1,4,2,6,3,5] => 2
[4,6,5,1,3,7,2] => [4,6,5,1,3,2] => [1,4,2,6,3,5] => 2
[4,6,5,1,7,2,3] => [4,6,5,1,2,3] => [1,4,2,6,3,5] => 2
[4,6,5,1,7,3,2] => [4,6,5,1,3,2] => [1,4,2,6,3,5] => 2
[4,6,5,2,1,3,7] => [4,6,5,2,1,3] => [1,4,2,6,3,5] => 2
[4,6,5,2,1,7,3] => [4,6,5,2,1,3] => [1,4,2,6,3,5] => 2
[4,6,5,2,3,1,7] => [4,6,5,2,3,1] => [1,4,2,6,3,5] => 2
[4,6,5,2,3,7,1] => [4,6,5,2,3,1] => [1,4,2,6,3,5] => 2
[4,6,5,2,7,1,3] => [4,6,5,2,1,3] => [1,4,2,6,3,5] => 2
[4,6,5,2,7,3,1] => [4,6,5,2,3,1] => [1,4,2,6,3,5] => 2
[4,6,5,3,1,2,7] => [4,6,5,3,1,2] => [1,4,3,5,2,6] => 2
[4,6,5,3,1,7,2] => [4,6,5,3,1,2] => [1,4,3,5,2,6] => 2
[4,6,5,3,2,1,7] => [4,6,5,3,2,1] => [1,4,3,5,2,6] => 2
[4,6,5,3,2,7,1] => [4,6,5,3,2,1] => [1,4,3,5,2,6] => 2
[4,6,5,3,7,1,2] => [4,6,5,3,1,2] => [1,4,3,5,2,6] => 2
[4,6,5,3,7,2,1] => [4,6,5,3,2,1] => [1,4,3,5,2,6] => 2
[4,6,5,7,1,2,3] => [4,6,5,1,2,3] => [1,4,2,6,3,5] => 2
[4,6,5,7,1,3,2] => [4,6,5,1,3,2] => [1,4,2,6,3,5] => 2
[4,6,5,7,2,1,3] => [4,6,5,2,1,3] => [1,4,2,6,3,5] => 2
[4,6,5,7,2,3,1] => [4,6,5,2,3,1] => [1,4,2,6,3,5] => 2
[4,6,5,7,3,1,2] => [4,6,5,3,1,2] => [1,4,3,5,2,6] => 2
[4,6,5,7,3,2,1] => [4,6,5,3,2,1] => [1,4,3,5,2,6] => 2
[4,6,7,1,2,3,5] => [4,6,1,2,3,5] => [1,4,2,6,5,3] => 2
[4,6,7,1,2,5,3] => [4,6,1,2,5,3] => [1,4,2,6,3,5] => 2
[4,6,7,1,3,2,5] => [4,6,1,3,2,5] => [1,4,3,2,6,5] => 2
[4,6,7,1,3,5,2] => [4,6,1,3,5,2] => [1,4,3,2,6,5] => 2
[4,6,7,1,5,2,3] => [4,6,1,5,2,3] => [1,4,5,2,6,3] => 2
[4,6,7,1,5,3,2] => [4,6,1,5,3,2] => [1,4,5,3,2,6] => 1
[4,6,7,2,1,3,5] => [4,6,2,1,3,5] => [1,4,2,6,5,3] => 2
[4,6,7,2,1,5,3] => [4,6,2,1,5,3] => [1,4,2,6,3,5] => 2
[4,6,7,2,3,1,5] => [4,6,2,3,1,5] => [1,4,3,2,6,5] => 2
[4,6,7,2,3,5,1] => [4,6,2,3,5,1] => [1,4,3,2,6,5] => 2
[4,6,7,2,5,1,3] => [4,6,2,5,1,3] => [1,4,5,2,6,3] => 2
[4,6,7,2,5,3,1] => [4,6,2,5,3,1] => [1,4,5,3,2,6] => 1
[4,6,7,3,1,2,5] => [4,6,3,1,2,5] => [1,4,2,6,5,3] => 2
[4,6,7,3,1,5,2] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => 2
[4,6,7,3,2,1,5] => [4,6,3,2,1,5] => [1,4,2,6,5,3] => 2
[4,6,7,3,2,5,1] => [4,6,3,2,5,1] => [1,4,2,6,3,5] => 2
[4,6,7,3,5,1,2] => [4,6,3,5,1,2] => [1,4,5,2,6,3] => 2
[4,6,7,3,5,2,1] => [4,6,3,5,2,1] => [1,4,5,2,6,3] => 2
[4,6,7,5,1,2,3] => [4,6,5,1,2,3] => [1,4,2,6,3,5] => 2
[4,6,7,5,1,3,2] => [4,6,5,1,3,2] => [1,4,2,6,3,5] => 2
[4,6,7,5,2,1,3] => [4,6,5,2,1,3] => [1,4,2,6,3,5] => 2
[4,6,7,5,2,3,1] => [4,6,5,2,3,1] => [1,4,2,6,3,5] => 2
[4,6,7,5,3,1,2] => [4,6,5,3,1,2] => [1,4,3,5,2,6] => 2
[4,6,7,5,3,2,1] => [4,6,5,3,2,1] => [1,4,3,5,2,6] => 2
[4,7,1,2,3,5,6] => [4,1,2,3,5,6] => [1,4,3,2,5,6] => 1
[4,7,1,2,3,6,5] => [4,1,2,3,6,5] => [1,4,3,2,5,6] => 1
[4,7,1,2,5,3,6] => [4,1,2,5,3,6] => [1,4,5,3,2,6] => 1
[4,7,1,2,5,6,3] => [4,1,2,5,6,3] => [1,4,5,6,3,2] => 1
[4,7,1,2,6,3,5] => [4,1,2,6,3,5] => [1,4,6,5,3,2] => 1
[4,7,1,2,6,5,3] => [4,1,2,6,5,3] => [1,4,6,3,2,5] => 1
[4,7,1,3,2,5,6] => [4,1,3,2,5,6] => [1,4,2,3,5,6] => 1
[4,7,1,3,2,6,5] => [4,1,3,2,6,5] => [1,4,2,3,5,6] => 1
[4,7,1,3,5,2,6] => [4,1,3,5,2,6] => [1,4,5,2,3,6] => 1
[4,7,1,3,5,6,2] => [4,1,3,5,6,2] => [1,4,5,6,2,3] => 1
[4,7,1,3,6,2,5] => [4,1,3,6,2,5] => [1,4,6,5,2,3] => 1
[4,7,1,3,6,5,2] => [4,1,3,6,5,2] => [1,4,6,2,3,5] => 1
[4,7,1,5,2,3,6] => [4,1,5,2,3,6] => [1,4,2,3,5,6] => 1
[4,7,1,5,2,6,3] => [4,1,5,2,6,3] => [1,4,2,3,5,6] => 1
[4,7,1,5,3,2,6] => [4,1,5,3,2,6] => [1,4,3,5,2,6] => 2
[4,7,1,5,3,6,2] => [4,1,5,3,6,2] => [1,4,3,5,6,2] => 2
[4,7,1,5,6,2,3] => [4,1,5,6,2,3] => [1,4,6,3,5,2] => 2
[4,7,1,5,6,3,2] => [4,1,5,6,3,2] => [1,4,6,2,3,5] => 1
[4,7,1,6,2,3,5] => [4,1,6,2,3,5] => [1,4,2,3,6,5] => 2
[4,7,1,6,2,5,3] => [4,1,6,2,5,3] => [1,4,2,3,6,5] => 2
[4,7,1,6,3,2,5] => [4,1,6,3,2,5] => [1,4,3,6,5,2] => 2
[4,7,1,6,3,5,2] => [4,1,6,3,5,2] => [1,4,3,6,2,5] => 2
[4,7,1,6,5,2,3] => [4,1,6,5,2,3] => [1,4,5,2,3,6] => 1
[4,7,1,6,5,3,2] => [4,1,6,5,3,2] => [1,4,5,3,6,2] => 2
[4,7,2,1,3,5,6] => [4,2,1,3,5,6] => [1,4,3,2,5,6] => 1
[4,7,2,1,3,6,5] => [4,2,1,3,6,5] => [1,4,3,2,5,6] => 1
[4,7,2,1,5,3,6] => [4,2,1,5,3,6] => [1,4,5,3,2,6] => 1
[4,7,2,1,5,6,3] => [4,2,1,5,6,3] => [1,4,5,6,3,2] => 1
[4,7,2,1,6,3,5] => [4,2,1,6,3,5] => [1,4,6,5,3,2] => 1
[4,7,2,1,6,5,3] => [4,2,1,6,5,3] => [1,4,6,3,2,5] => 1
[4,7,2,3,1,5,6] => [4,2,3,1,5,6] => [1,4,2,3,5,6] => 1
[4,7,2,3,1,6,5] => [4,2,3,1,6,5] => [1,4,2,3,5,6] => 1
[4,7,2,3,5,1,6] => [4,2,3,5,1,6] => [1,4,5,2,3,6] => 1
[4,7,2,3,5,6,1] => [4,2,3,5,6,1] => [1,4,5,6,2,3] => 1
[4,7,2,3,6,1,5] => [4,2,3,6,1,5] => [1,4,6,5,2,3] => 1
[4,7,2,3,6,5,1] => [4,2,3,6,5,1] => [1,4,6,2,3,5] => 1
[4,7,2,5,1,3,6] => [4,2,5,1,3,6] => [1,4,2,3,5,6] => 1
[4,7,2,5,1,6,3] => [4,2,5,1,6,3] => [1,4,2,3,5,6] => 1
[4,7,2,5,3,1,6] => [4,2,5,3,1,6] => [1,4,3,5,2,6] => 2
[4,7,2,5,3,6,1] => [4,2,5,3,6,1] => [1,4,3,5,6,2] => 2
[4,7,2,5,6,1,3] => [4,2,5,6,1,3] => [1,4,6,3,5,2] => 2
[4,7,2,5,6,3,1] => [4,2,5,6,3,1] => [1,4,6,2,3,5] => 1
[4,7,2,6,1,3,5] => [4,2,6,1,3,5] => [1,4,2,3,6,5] => 2
[4,7,2,6,1,5,3] => [4,2,6,1,5,3] => [1,4,2,3,6,5] => 2
[4,7,2,6,3,1,5] => [4,2,6,3,1,5] => [1,4,3,6,5,2] => 2
[4,7,2,6,3,5,1] => [4,2,6,3,5,1] => [1,4,3,6,2,5] => 2
[4,7,2,6,5,1,3] => [4,2,6,5,1,3] => [1,4,5,2,3,6] => 1
[4,7,2,6,5,3,1] => [4,2,6,5,3,1] => [1,4,5,3,6,2] => 2
[4,7,3,1,2,5,6] => [4,3,1,2,5,6] => [1,4,2,3,5,6] => 1
[4,7,3,1,2,6,5] => [4,3,1,2,6,5] => [1,4,2,3,5,6] => 1
[4,7,3,1,5,2,6] => [4,3,1,5,2,6] => [1,4,5,2,3,6] => 1
[4,7,3,1,5,6,2] => [4,3,1,5,6,2] => [1,4,5,6,2,3] => 1
[4,7,3,1,6,2,5] => [4,3,1,6,2,5] => [1,4,6,5,2,3] => 1
[4,7,3,1,6,5,2] => [4,3,1,6,5,2] => [1,4,6,2,3,5] => 1
[4,7,3,2,1,5,6] => [4,3,2,1,5,6] => [1,4,2,3,5,6] => 1
[4,7,3,2,1,6,5] => [4,3,2,1,6,5] => [1,4,2,3,5,6] => 1
[4,7,3,2,5,1,6] => [4,3,2,5,1,6] => [1,4,5,2,3,6] => 1
[4,7,3,2,5,6,1] => [4,3,2,5,6,1] => [1,4,5,6,2,3] => 1
[4,7,3,2,6,1,5] => [4,3,2,6,1,5] => [1,4,6,5,2,3] => 1
[4,7,3,2,6,5,1] => [4,3,2,6,5,1] => [1,4,6,2,3,5] => 1
[4,7,3,5,1,2,6] => [4,3,5,1,2,6] => [1,4,2,3,5,6] => 1
[4,7,3,5,1,6,2] => [4,3,5,1,6,2] => [1,4,2,3,5,6] => 1
[4,7,3,5,2,1,6] => [4,3,5,2,1,6] => [1,4,2,3,5,6] => 1
[4,7,3,5,2,6,1] => [4,3,5,2,6,1] => [1,4,2,3,5,6] => 1
[4,7,3,5,6,1,2] => [4,3,5,6,1,2] => [1,4,6,2,3,5] => 1
[4,7,3,5,6,2,1] => [4,3,5,6,2,1] => [1,4,6,2,3,5] => 1
[4,7,3,6,1,2,5] => [4,3,6,1,2,5] => [1,4,2,3,6,5] => 2
[4,7,3,6,1,5,2] => [4,3,6,1,5,2] => [1,4,2,3,6,5] => 2
[4,7,3,6,2,1,5] => [4,3,6,2,1,5] => [1,4,2,3,6,5] => 2
[4,7,3,6,2,5,1] => [4,3,6,2,5,1] => [1,4,2,3,6,5] => 2
[4,7,3,6,5,1,2] => [4,3,6,5,1,2] => [1,4,5,2,3,6] => 1
[4,7,3,6,5,2,1] => [4,3,6,5,2,1] => [1,4,5,2,3,6] => 1
[4,7,5,1,2,3,6] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => 2
[4,7,5,1,2,6,3] => [4,5,1,2,6,3] => [1,4,2,5,6,3] => 2
[4,7,5,1,3,2,6] => [4,5,1,3,2,6] => [1,4,3,2,5,6] => 1
[4,7,5,1,3,6,2] => [4,5,1,3,6,2] => [1,4,3,2,5,6] => 1
[4,7,5,1,6,2,3] => [4,5,1,6,2,3] => [1,4,6,3,2,5] => 1
[4,7,5,1,6,3,2] => [4,5,1,6,3,2] => [1,4,6,2,5,3] => 2
[4,7,5,2,1,3,6] => [4,5,2,1,3,6] => [1,4,2,5,3,6] => 2
[4,7,5,2,1,6,3] => [4,5,2,1,6,3] => [1,4,2,5,6,3] => 2
[4,7,5,2,3,1,6] => [4,5,2,3,1,6] => [1,4,3,2,5,6] => 1
[4,7,5,2,3,6,1] => [4,5,2,3,6,1] => [1,4,3,2,5,6] => 1
[4,7,5,2,6,1,3] => [4,5,2,6,1,3] => [1,4,6,3,2,5] => 1
[4,7,5,2,6,3,1] => [4,5,2,6,3,1] => [1,4,6,2,5,3] => 2
[4,7,5,3,1,2,6] => [4,5,3,1,2,6] => [1,4,2,5,3,6] => 2
[4,7,5,3,1,6,2] => [4,5,3,1,6,2] => [1,4,2,5,6,3] => 2
[4,7,5,3,2,1,6] => [4,5,3,2,1,6] => [1,4,2,5,3,6] => 2
[4,7,5,3,2,6,1] => [4,5,3,2,6,1] => [1,4,2,5,6,3] => 2
[4,7,5,3,6,1,2] => [4,5,3,6,1,2] => [1,4,6,2,5,3] => 2
[4,7,5,3,6,2,1] => [4,5,3,6,2,1] => [1,4,6,2,5,3] => 2
[4,7,5,6,1,2,3] => [4,5,6,1,2,3] => [1,4,2,5,3,6] => 2
[4,7,5,6,1,3,2] => [4,5,6,1,3,2] => [1,4,2,5,3,6] => 2
[4,7,5,6,2,1,3] => [4,5,6,2,1,3] => [1,4,2,5,3,6] => 2
[4,7,5,6,2,3,1] => [4,5,6,2,3,1] => [1,4,2,5,3,6] => 2
[4,7,5,6,3,1,2] => [4,5,6,3,1,2] => [1,4,3,6,2,5] => 2
[4,7,5,6,3,2,1] => [4,5,6,3,2,1] => [1,4,3,6,2,5] => 2
[4,7,6,1,2,3,5] => [4,6,1,2,3,5] => [1,4,2,6,5,3] => 2
[4,7,6,1,2,5,3] => [4,6,1,2,5,3] => [1,4,2,6,3,5] => 2
[4,7,6,1,3,2,5] => [4,6,1,3,2,5] => [1,4,3,2,6,5] => 2
[4,7,6,1,3,5,2] => [4,6,1,3,5,2] => [1,4,3,2,6,5] => 2
[4,7,6,1,5,2,3] => [4,6,1,5,2,3] => [1,4,5,2,6,3] => 2
[4,7,6,1,5,3,2] => [4,6,1,5,3,2] => [1,4,5,3,2,6] => 1
[4,7,6,2,1,3,5] => [4,6,2,1,3,5] => [1,4,2,6,5,3] => 2
[4,7,6,2,1,5,3] => [4,6,2,1,5,3] => [1,4,2,6,3,5] => 2
[4,7,6,2,3,1,5] => [4,6,2,3,1,5] => [1,4,3,2,6,5] => 2
[4,7,6,2,3,5,1] => [4,6,2,3,5,1] => [1,4,3,2,6,5] => 2
[4,7,6,2,5,1,3] => [4,6,2,5,1,3] => [1,4,5,2,6,3] => 2
[4,7,6,2,5,3,1] => [4,6,2,5,3,1] => [1,4,5,3,2,6] => 1
[4,7,6,3,1,2,5] => [4,6,3,1,2,5] => [1,4,2,6,5,3] => 2
[4,7,6,3,1,5,2] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => 2
[4,7,6,3,2,1,5] => [4,6,3,2,1,5] => [1,4,2,6,5,3] => 2
[4,7,6,3,2,5,1] => [4,6,3,2,5,1] => [1,4,2,6,3,5] => 2
[4,7,6,3,5,1,2] => [4,6,3,5,1,2] => [1,4,5,2,6,3] => 2
[4,7,6,3,5,2,1] => [4,6,3,5,2,1] => [1,4,5,2,6,3] => 2
[4,7,6,5,1,2,3] => [4,6,5,1,2,3] => [1,4,2,6,3,5] => 2
[4,7,6,5,1,3,2] => [4,6,5,1,3,2] => [1,4,2,6,3,5] => 2
[4,7,6,5,2,1,3] => [4,6,5,2,1,3] => [1,4,2,6,3,5] => 2
[4,7,6,5,2,3,1] => [4,6,5,2,3,1] => [1,4,2,6,3,5] => 2
[4,7,6,5,3,1,2] => [4,6,5,3,1,2] => [1,4,3,5,2,6] => 2
[4,7,6,5,3,2,1] => [4,6,5,3,2,1] => [1,4,3,5,2,6] => 2
[5,1,2,3,4,6,7] => [5,1,2,3,4,6] => [1,5,4,3,2,6] => 1
[5,1,2,3,4,7,6] => [5,1,2,3,4,6] => [1,5,4,3,2,6] => 1
[5,1,2,3,6,4,7] => [5,1,2,3,6,4] => [1,5,6,4,3,2] => 1
[5,1,2,3,6,7,4] => [5,1,2,3,6,4] => [1,5,6,4,3,2] => 1
[5,1,2,3,7,4,6] => [5,1,2,3,4,6] => [1,5,4,3,2,6] => 1
[5,1,2,3,7,6,4] => [5,1,2,3,6,4] => [1,5,6,4,3,2] => 1
[5,1,2,4,3,6,7] => [5,1,2,4,3,6] => [1,5,3,2,4,6] => 1
[5,1,2,4,3,7,6] => [5,1,2,4,3,6] => [1,5,3,2,4,6] => 1
[5,1,2,4,6,3,7] => [5,1,2,4,6,3] => [1,5,6,3,2,4] => 1
[5,1,2,4,6,7,3] => [5,1,2,4,6,3] => [1,5,6,3,2,4] => 1
[5,1,2,4,7,3,6] => [5,1,2,4,3,6] => [1,5,3,2,4,6] => 1
[5,1,2,4,7,6,3] => [5,1,2,4,6,3] => [1,5,6,3,2,4] => 1
[5,1,2,6,3,4,7] => [5,1,2,6,3,4] => [1,5,3,2,4,6] => 1
[5,1,2,6,3,7,4] => [5,1,2,6,3,4] => [1,5,3,2,4,6] => 1
[5,1,2,6,4,3,7] => [5,1,2,6,4,3] => [1,5,4,6,3,2] => 2
[5,1,2,6,4,7,3] => [5,1,2,6,4,3] => [1,5,4,6,3,2] => 2
[5,1,2,6,7,3,4] => [5,1,2,6,3,4] => [1,5,3,2,4,6] => 1
[5,1,2,6,7,4,3] => [5,1,2,6,4,3] => [1,5,4,6,3,2] => 2
[5,1,2,7,3,4,6] => [5,1,2,3,4,6] => [1,5,4,3,2,6] => 1
[5,1,2,7,3,6,4] => [5,1,2,3,6,4] => [1,5,6,4,3,2] => 1
[5,1,2,7,4,3,6] => [5,1,2,4,3,6] => [1,5,3,2,4,6] => 1
[5,1,2,7,4,6,3] => [5,1,2,4,6,3] => [1,5,6,3,2,4] => 1
[5,1,2,7,6,3,4] => [5,1,2,6,3,4] => [1,5,3,2,4,6] => 1
[5,1,2,7,6,4,3] => [5,1,2,6,4,3] => [1,5,4,6,3,2] => 2
[5,1,3,2,4,6,7] => [5,1,3,2,4,6] => [1,5,4,2,3,6] => 1
[5,1,3,2,4,7,6] => [5,1,3,2,4,6] => [1,5,4,2,3,6] => 1
[5,1,3,2,6,4,7] => [5,1,3,2,6,4] => [1,5,6,4,2,3] => 1
[5,1,3,2,6,7,4] => [5,1,3,2,6,4] => [1,5,6,4,2,3] => 1
[5,1,3,2,7,4,6] => [5,1,3,2,4,6] => [1,5,4,2,3,6] => 1
[5,1,3,2,7,6,4] => [5,1,3,2,6,4] => [1,5,6,4,2,3] => 1
[5,1,3,4,2,6,7] => [5,1,3,4,2,6] => [1,5,2,3,4,6] => 1
[5,1,3,4,2,7,6] => [5,1,3,4,2,6] => [1,5,2,3,4,6] => 1
[5,1,3,4,6,2,7] => [5,1,3,4,6,2] => [1,5,6,2,3,4] => 1
[5,1,3,4,6,7,2] => [5,1,3,4,6,2] => [1,5,6,2,3,4] => 1
[5,1,3,4,7,2,6] => [5,1,3,4,2,6] => [1,5,2,3,4,6] => 1
[5,1,3,4,7,6,2] => [5,1,3,4,6,2] => [1,5,6,2,3,4] => 1
[5,1,3,6,2,4,7] => [5,1,3,6,2,4] => [1,5,2,3,4,6] => 1
[5,1,3,6,2,7,4] => [5,1,3,6,2,4] => [1,5,2,3,4,6] => 1
[5,1,3,6,4,2,7] => [5,1,3,6,4,2] => [1,5,4,6,2,3] => 2
[5,1,3,6,4,7,2] => [5,1,3,6,4,2] => [1,5,4,6,2,3] => 2
[5,1,3,6,7,2,4] => [5,1,3,6,2,4] => [1,5,2,3,4,6] => 1
[5,1,3,6,7,4,2] => [5,1,3,6,4,2] => [1,5,4,6,2,3] => 2
[5,1,3,7,2,4,6] => [5,1,3,2,4,6] => [1,5,4,2,3,6] => 1
[5,1,3,7,2,6,4] => [5,1,3,2,6,4] => [1,5,6,4,2,3] => 1
[5,1,3,7,4,2,6] => [5,1,3,4,2,6] => [1,5,2,3,4,6] => 1
[5,1,3,7,4,6,2] => [5,1,3,4,6,2] => [1,5,6,2,3,4] => 1
[5,1,3,7,6,2,4] => [5,1,3,6,2,4] => [1,5,2,3,4,6] => 1
[5,1,3,7,6,4,2] => [5,1,3,6,4,2] => [1,5,4,6,2,3] => 2
[5,1,4,2,3,6,7] => [5,1,4,2,3,6] => [1,5,3,4,2,6] => 2
[5,1,4,2,3,7,6] => [5,1,4,2,3,6] => [1,5,3,4,2,6] => 2
[5,1,4,2,6,3,7] => [5,1,4,2,6,3] => [1,5,6,3,4,2] => 2
[5,1,4,2,6,7,3] => [5,1,4,2,6,3] => [1,5,6,3,4,2] => 2
[5,1,4,2,7,3,6] => [5,1,4,2,3,6] => [1,5,3,4,2,6] => 2
[5,1,4,2,7,6,3] => [5,1,4,2,6,3] => [1,5,6,3,4,2] => 2
[5,1,4,3,2,6,7] => [5,1,4,3,2,6] => [1,5,2,3,4,6] => 1
[5,1,4,3,2,7,6] => [5,1,4,3,2,6] => [1,5,2,3,4,6] => 1
[5,1,4,3,6,2,7] => [5,1,4,3,6,2] => [1,5,6,2,3,4] => 1
[5,1,4,3,6,7,2] => [5,1,4,3,6,2] => [1,5,6,2,3,4] => 1
[5,1,4,3,7,2,6] => [5,1,4,3,2,6] => [1,5,2,3,4,6] => 1
[5,1,4,3,7,6,2] => [5,1,4,3,6,2] => [1,5,6,2,3,4] => 1
[5,1,4,6,2,3,7] => [5,1,4,6,2,3] => [1,5,2,3,4,6] => 1
[5,1,4,6,2,7,3] => [5,1,4,6,2,3] => [1,5,2,3,4,6] => 1
[5,1,4,6,3,2,7] => [5,1,4,6,3,2] => [1,5,3,4,6,2] => 2
[5,1,4,6,3,7,2] => [5,1,4,6,3,2] => [1,5,3,4,6,2] => 2
[5,1,4,6,7,2,3] => [5,1,4,6,2,3] => [1,5,2,3,4,6] => 1
[5,1,4,6,7,3,2] => [5,1,4,6,3,2] => [1,5,3,4,6,2] => 2
[5,1,4,7,2,3,6] => [5,1,4,2,3,6] => [1,5,3,4,2,6] => 2
[5,1,4,7,2,6,3] => [5,1,4,2,6,3] => [1,5,6,3,4,2] => 2
[5,1,4,7,3,2,6] => [5,1,4,3,2,6] => [1,5,2,3,4,6] => 1
[5,1,4,7,3,6,2] => [5,1,4,3,6,2] => [1,5,6,2,3,4] => 1
[5,1,4,7,6,2,3] => [5,1,4,6,2,3] => [1,5,2,3,4,6] => 1
[5,1,4,7,6,3,2] => [5,1,4,6,3,2] => [1,5,3,4,6,2] => 2
[5,1,6,2,3,4,7] => [5,1,6,2,3,4] => [1,5,3,6,4,2] => 2
[5,1,6,2,3,7,4] => [5,1,6,2,3,4] => [1,5,3,6,4,2] => 2
[5,1,6,2,4,3,7] => [5,1,6,2,4,3] => [1,5,4,2,3,6] => 1
[5,1,6,2,4,7,3] => [5,1,6,2,4,3] => [1,5,4,2,3,6] => 1
[5,1,6,2,7,3,4] => [5,1,6,2,3,4] => [1,5,3,6,4,2] => 2
[5,1,6,2,7,4,3] => [5,1,6,2,4,3] => [1,5,4,2,3,6] => 1
[5,1,6,3,2,4,7] => [5,1,6,3,2,4] => [1,5,2,3,6,4] => 2
[5,1,6,3,2,7,4] => [5,1,6,3,2,4] => [1,5,2,3,6,4] => 2
[5,1,6,3,4,2,7] => [5,1,6,3,4,2] => [1,5,4,3,6,2] => 2
[5,1,6,3,4,7,2] => [5,1,6,3,4,2] => [1,5,4,3,6,2] => 2
[5,1,6,3,7,2,4] => [5,1,6,3,2,4] => [1,5,2,3,6,4] => 2
[5,1,6,3,7,4,2] => [5,1,6,3,4,2] => [1,5,4,3,6,2] => 2
[5,1,6,4,2,3,7] => [5,1,6,4,2,3] => [1,5,2,3,6,4] => 2
[5,1,6,4,2,7,3] => [5,1,6,4,2,3] => [1,5,2,3,6,4] => 2
[5,1,6,4,3,2,7] => [5,1,6,4,3,2] => [1,5,3,6,2,4] => 2
[5,1,6,4,3,7,2] => [5,1,6,4,3,2] => [1,5,3,6,2,4] => 2
[5,1,6,4,7,2,3] => [5,1,6,4,2,3] => [1,5,2,3,6,4] => 2
[5,1,6,4,7,3,2] => [5,1,6,4,3,2] => [1,5,3,6,2,4] => 2
[5,1,6,7,2,3,4] => [5,1,6,2,3,4] => [1,5,3,6,4,2] => 2
[5,1,6,7,2,4,3] => [5,1,6,2,4,3] => [1,5,4,2,3,6] => 1
[5,1,6,7,3,2,4] => [5,1,6,3,2,4] => [1,5,2,3,6,4] => 2
[5,1,6,7,3,4,2] => [5,1,6,3,4,2] => [1,5,4,3,6,2] => 2
[5,1,6,7,4,2,3] => [5,1,6,4,2,3] => [1,5,2,3,6,4] => 2
[5,1,6,7,4,3,2] => [5,1,6,4,3,2] => [1,5,3,6,2,4] => 2
[5,1,7,2,3,4,6] => [5,1,2,3,4,6] => [1,5,4,3,2,6] => 1
[5,1,7,2,3,6,4] => [5,1,2,3,6,4] => [1,5,6,4,3,2] => 1
[5,1,7,2,4,3,6] => [5,1,2,4,3,6] => [1,5,3,2,4,6] => 1
[5,1,7,2,4,6,3] => [5,1,2,4,6,3] => [1,5,6,3,2,4] => 1
[5,1,7,2,6,3,4] => [5,1,2,6,3,4] => [1,5,3,2,4,6] => 1
[5,1,7,2,6,4,3] => [5,1,2,6,4,3] => [1,5,4,6,3,2] => 2
[5,1,7,3,2,4,6] => [5,1,3,2,4,6] => [1,5,4,2,3,6] => 1
[5,1,7,3,2,6,4] => [5,1,3,2,6,4] => [1,5,6,4,2,3] => 1
[5,1,7,3,4,2,6] => [5,1,3,4,2,6] => [1,5,2,3,4,6] => 1
[5,1,7,3,4,6,2] => [5,1,3,4,6,2] => [1,5,6,2,3,4] => 1
[5,1,7,3,6,2,4] => [5,1,3,6,2,4] => [1,5,2,3,4,6] => 1
[5,1,7,3,6,4,2] => [5,1,3,6,4,2] => [1,5,4,6,2,3] => 2
[5,1,7,4,2,3,6] => [5,1,4,2,3,6] => [1,5,3,4,2,6] => 2
[5,1,7,4,2,6,3] => [5,1,4,2,6,3] => [1,5,6,3,4,2] => 2
[5,1,7,4,3,2,6] => [5,1,4,3,2,6] => [1,5,2,3,4,6] => 1
[5,1,7,4,3,6,2] => [5,1,4,3,6,2] => [1,5,6,2,3,4] => 1
[5,1,7,4,6,2,3] => [5,1,4,6,2,3] => [1,5,2,3,4,6] => 1
[5,1,7,4,6,3,2] => [5,1,4,6,3,2] => [1,5,3,4,6,2] => 2
[5,1,7,6,2,3,4] => [5,1,6,2,3,4] => [1,5,3,6,4,2] => 2
[5,1,7,6,2,4,3] => [5,1,6,2,4,3] => [1,5,4,2,3,6] => 1
[5,1,7,6,3,2,4] => [5,1,6,3,2,4] => [1,5,2,3,6,4] => 2
[5,1,7,6,3,4,2] => [5,1,6,3,4,2] => [1,5,4,3,6,2] => 2
[5,1,7,6,4,2,3] => [5,1,6,4,2,3] => [1,5,2,3,6,4] => 2
[5,1,7,6,4,3,2] => [5,1,6,4,3,2] => [1,5,3,6,2,4] => 2
[5,2,1,3,4,6,7] => [5,2,1,3,4,6] => [1,5,4,3,2,6] => 1
[5,2,1,3,4,7,6] => [5,2,1,3,4,6] => [1,5,4,3,2,6] => 1
[5,2,1,3,6,4,7] => [5,2,1,3,6,4] => [1,5,6,4,3,2] => 1
[5,2,1,3,6,7,4] => [5,2,1,3,6,4] => [1,5,6,4,3,2] => 1
[5,2,1,3,7,4,6] => [5,2,1,3,4,6] => [1,5,4,3,2,6] => 1
[5,2,1,3,7,6,4] => [5,2,1,3,6,4] => [1,5,6,4,3,2] => 1
[5,2,1,4,3,6,7] => [5,2,1,4,3,6] => [1,5,3,2,4,6] => 1
[5,2,1,4,3,7,6] => [5,2,1,4,3,6] => [1,5,3,2,4,6] => 1
[5,2,1,4,6,3,7] => [5,2,1,4,6,3] => [1,5,6,3,2,4] => 1
[5,2,1,4,6,7,3] => [5,2,1,4,6,3] => [1,5,6,3,2,4] => 1
[5,2,1,4,7,3,6] => [5,2,1,4,3,6] => [1,5,3,2,4,6] => 1
[5,2,1,4,7,6,3] => [5,2,1,4,6,3] => [1,5,6,3,2,4] => 1
[5,2,1,6,3,4,7] => [5,2,1,6,3,4] => [1,5,3,2,4,6] => 1
[5,2,1,6,3,7,4] => [5,2,1,6,3,4] => [1,5,3,2,4,6] => 1
[5,2,1,6,4,3,7] => [5,2,1,6,4,3] => [1,5,4,6,3,2] => 2
[5,2,1,6,4,7,3] => [5,2,1,6,4,3] => [1,5,4,6,3,2] => 2
[5,2,1,6,7,3,4] => [5,2,1,6,3,4] => [1,5,3,2,4,6] => 1
[5,2,1,6,7,4,3] => [5,2,1,6,4,3] => [1,5,4,6,3,2] => 2
[5,2,1,7,3,4,6] => [5,2,1,3,4,6] => [1,5,4,3,2,6] => 1
[5,2,1,7,3,6,4] => [5,2,1,3,6,4] => [1,5,6,4,3,2] => 1
[5,2,1,7,4,3,6] => [5,2,1,4,3,6] => [1,5,3,2,4,6] => 1
[5,2,1,7,4,6,3] => [5,2,1,4,6,3] => [1,5,6,3,2,4] => 1
[5,2,1,7,6,3,4] => [5,2,1,6,3,4] => [1,5,3,2,4,6] => 1
[5,2,1,7,6,4,3] => [5,2,1,6,4,3] => [1,5,4,6,3,2] => 2
[5,2,3,1,4,6,7] => [5,2,3,1,4,6] => [1,5,4,2,3,6] => 1
[5,2,3,1,4,7,6] => [5,2,3,1,4,6] => [1,5,4,2,3,6] => 1
[5,2,3,1,6,4,7] => [5,2,3,1,6,4] => [1,5,6,4,2,3] => 1
[5,2,3,1,6,7,4] => [5,2,3,1,6,4] => [1,5,6,4,2,3] => 1
[5,2,3,1,7,4,6] => [5,2,3,1,4,6] => [1,5,4,2,3,6] => 1
[5,2,3,1,7,6,4] => [5,2,3,1,6,4] => [1,5,6,4,2,3] => 1
[5,2,3,4,1,6,7] => [5,2,3,4,1,6] => [1,5,2,3,4,6] => 1
[5,2,3,4,1,7,6] => [5,2,3,4,1,6] => [1,5,2,3,4,6] => 1
[5,2,3,4,6,1,7] => [5,2,3,4,6,1] => [1,5,6,2,3,4] => 1
[5,2,3,4,6,7,1] => [5,2,3,4,6,1] => [1,5,6,2,3,4] => 1
[5,2,3,4,7,1,6] => [5,2,3,4,1,6] => [1,5,2,3,4,6] => 1
[5,2,3,4,7,6,1] => [5,2,3,4,6,1] => [1,5,6,2,3,4] => 1
[5,2,3,6,1,4,7] => [5,2,3,6,1,4] => [1,5,2,3,4,6] => 1
[5,2,3,6,1,7,4] => [5,2,3,6,1,4] => [1,5,2,3,4,6] => 1
[5,2,3,6,4,1,7] => [5,2,3,6,4,1] => [1,5,4,6,2,3] => 2
[5,2,3,6,4,7,1] => [5,2,3,6,4,1] => [1,5,4,6,2,3] => 2
[5,2,3,6,7,1,4] => [5,2,3,6,1,4] => [1,5,2,3,4,6] => 1
[5,2,3,6,7,4,1] => [5,2,3,6,4,1] => [1,5,4,6,2,3] => 2
[5,2,3,7,1,4,6] => [5,2,3,1,4,6] => [1,5,4,2,3,6] => 1
[5,2,3,7,1,6,4] => [5,2,3,1,6,4] => [1,5,6,4,2,3] => 1
[5,2,3,7,4,1,6] => [5,2,3,4,1,6] => [1,5,2,3,4,6] => 1
[5,2,3,7,4,6,1] => [5,2,3,4,6,1] => [1,5,6,2,3,4] => 1
[5,2,3,7,6,1,4] => [5,2,3,6,1,4] => [1,5,2,3,4,6] => 1
[5,2,3,7,6,4,1] => [5,2,3,6,4,1] => [1,5,4,6,2,3] => 2
[5,2,4,1,3,6,7] => [5,2,4,1,3,6] => [1,5,3,4,2,6] => 2
[5,2,4,1,3,7,6] => [5,2,4,1,3,6] => [1,5,3,4,2,6] => 2
[5,2,4,1,6,3,7] => [5,2,4,1,6,3] => [1,5,6,3,4,2] => 2
[5,2,4,1,6,7,3] => [5,2,4,1,6,3] => [1,5,6,3,4,2] => 2
[5,2,4,1,7,3,6] => [5,2,4,1,3,6] => [1,5,3,4,2,6] => 2
[5,2,4,1,7,6,3] => [5,2,4,1,6,3] => [1,5,6,3,4,2] => 2
[5,2,4,3,1,6,7] => [5,2,4,3,1,6] => [1,5,2,3,4,6] => 1
[5,2,4,3,1,7,6] => [5,2,4,3,1,6] => [1,5,2,3,4,6] => 1
[5,2,4,3,6,1,7] => [5,2,4,3,6,1] => [1,5,6,2,3,4] => 1
[5,2,4,3,6,7,1] => [5,2,4,3,6,1] => [1,5,6,2,3,4] => 1
[5,2,4,3,7,1,6] => [5,2,4,3,1,6] => [1,5,2,3,4,6] => 1
[5,2,4,3,7,6,1] => [5,2,4,3,6,1] => [1,5,6,2,3,4] => 1
[5,2,4,6,1,3,7] => [5,2,4,6,1,3] => [1,5,2,3,4,6] => 1
[5,2,4,6,1,7,3] => [5,2,4,6,1,3] => [1,5,2,3,4,6] => 1
[5,2,4,6,3,1,7] => [5,2,4,6,3,1] => [1,5,3,4,6,2] => 2
[5,2,4,6,3,7,1] => [5,2,4,6,3,1] => [1,5,3,4,6,2] => 2
[5,2,4,6,7,1,3] => [5,2,4,6,1,3] => [1,5,2,3,4,6] => 1
[5,2,4,6,7,3,1] => [5,2,4,6,3,1] => [1,5,3,4,6,2] => 2
[5,2,4,7,1,3,6] => [5,2,4,1,3,6] => [1,5,3,4,2,6] => 2
[5,2,4,7,1,6,3] => [5,2,4,1,6,3] => [1,5,6,3,4,2] => 2
[5,2,4,7,3,1,6] => [5,2,4,3,1,6] => [1,5,2,3,4,6] => 1
[5,2,4,7,3,6,1] => [5,2,4,3,6,1] => [1,5,6,2,3,4] => 1
[5,2,4,7,6,1,3] => [5,2,4,6,1,3] => [1,5,2,3,4,6] => 1
[5,2,4,7,6,3,1] => [5,2,4,6,3,1] => [1,5,3,4,6,2] => 2
[5,2,6,1,3,4,7] => [5,2,6,1,3,4] => [1,5,3,6,4,2] => 2
[5,2,6,1,3,7,4] => [5,2,6,1,3,4] => [1,5,3,6,4,2] => 2
[5,2,6,1,4,3,7] => [5,2,6,1,4,3] => [1,5,4,2,3,6] => 1
[5,2,6,1,4,7,3] => [5,2,6,1,4,3] => [1,5,4,2,3,6] => 1
[5,2,6,1,7,3,4] => [5,2,6,1,3,4] => [1,5,3,6,4,2] => 2
[5,2,6,1,7,4,3] => [5,2,6,1,4,3] => [1,5,4,2,3,6] => 1
[5,2,6,3,1,4,7] => [5,2,6,3,1,4] => [1,5,2,3,6,4] => 2
[5,2,6,3,1,7,4] => [5,2,6,3,1,4] => [1,5,2,3,6,4] => 2
[5,2,6,3,4,1,7] => [5,2,6,3,4,1] => [1,5,4,3,6,2] => 2
[5,2,6,3,4,7,1] => [5,2,6,3,4,1] => [1,5,4,3,6,2] => 2
[5,2,6,3,7,1,4] => [5,2,6,3,1,4] => [1,5,2,3,6,4] => 2
[5,2,6,3,7,4,1] => [5,2,6,3,4,1] => [1,5,4,3,6,2] => 2
[5,2,6,4,1,3,7] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => 2
[5,2,6,4,1,7,3] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => 2
[5,2,6,4,3,1,7] => [5,2,6,4,3,1] => [1,5,3,6,2,4] => 2
[5,2,6,4,3,7,1] => [5,2,6,4,3,1] => [1,5,3,6,2,4] => 2
[5,2,6,4,7,1,3] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => 2
[5,2,6,4,7,3,1] => [5,2,6,4,3,1] => [1,5,3,6,2,4] => 2
[5,2,6,7,1,3,4] => [5,2,6,1,3,4] => [1,5,3,6,4,2] => 2
[5,2,6,7,1,4,3] => [5,2,6,1,4,3] => [1,5,4,2,3,6] => 1
[5,2,6,7,3,1,4] => [5,2,6,3,1,4] => [1,5,2,3,6,4] => 2
[5,2,6,7,3,4,1] => [5,2,6,3,4,1] => [1,5,4,3,6,2] => 2
[5,2,6,7,4,1,3] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => 2
[5,2,6,7,4,3,1] => [5,2,6,4,3,1] => [1,5,3,6,2,4] => 2
[5,2,7,1,3,4,6] => [5,2,1,3,4,6] => [1,5,4,3,2,6] => 1
[5,2,7,1,3,6,4] => [5,2,1,3,6,4] => [1,5,6,4,3,2] => 1
[5,2,7,1,4,3,6] => [5,2,1,4,3,6] => [1,5,3,2,4,6] => 1
[5,2,7,1,4,6,3] => [5,2,1,4,6,3] => [1,5,6,3,2,4] => 1
[5,2,7,1,6,3,4] => [5,2,1,6,3,4] => [1,5,3,2,4,6] => 1
[5,2,7,1,6,4,3] => [5,2,1,6,4,3] => [1,5,4,6,3,2] => 2
[5,2,7,3,1,4,6] => [5,2,3,1,4,6] => [1,5,4,2,3,6] => 1
[5,2,7,3,1,6,4] => [5,2,3,1,6,4] => [1,5,6,4,2,3] => 1
[5,2,7,3,4,1,6] => [5,2,3,4,1,6] => [1,5,2,3,4,6] => 1
[5,2,7,3,4,6,1] => [5,2,3,4,6,1] => [1,5,6,2,3,4] => 1
[5,2,7,3,6,1,4] => [5,2,3,6,1,4] => [1,5,2,3,4,6] => 1
[5,2,7,3,6,4,1] => [5,2,3,6,4,1] => [1,5,4,6,2,3] => 2
[5,2,7,4,1,3,6] => [5,2,4,1,3,6] => [1,5,3,4,2,6] => 2
[5,2,7,4,1,6,3] => [5,2,4,1,6,3] => [1,5,6,3,4,2] => 2
[5,2,7,4,3,1,6] => [5,2,4,3,1,6] => [1,5,2,3,4,6] => 1
[5,2,7,4,3,6,1] => [5,2,4,3,6,1] => [1,5,6,2,3,4] => 1
[5,2,7,4,6,1,3] => [5,2,4,6,1,3] => [1,5,2,3,4,6] => 1
[5,2,7,4,6,3,1] => [5,2,4,6,3,1] => [1,5,3,4,6,2] => 2
[5,2,7,6,1,3,4] => [5,2,6,1,3,4] => [1,5,3,6,4,2] => 2
[5,2,7,6,1,4,3] => [5,2,6,1,4,3] => [1,5,4,2,3,6] => 1
[5,2,7,6,3,1,4] => [5,2,6,3,1,4] => [1,5,2,3,6,4] => 2
[5,2,7,6,3,4,1] => [5,2,6,3,4,1] => [1,5,4,3,6,2] => 2
[5,2,7,6,4,1,3] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => 2
[5,2,7,6,4,3,1] => [5,2,6,4,3,1] => [1,5,3,6,2,4] => 2
[5,3,1,2,4,6,7] => [5,3,1,2,4,6] => [1,5,4,2,3,6] => 1
[5,3,1,2,4,7,6] => [5,3,1,2,4,6] => [1,5,4,2,3,6] => 1
[5,3,1,2,6,4,7] => [5,3,1,2,6,4] => [1,5,6,4,2,3] => 1
[5,3,1,2,6,7,4] => [5,3,1,2,6,4] => [1,5,6,4,2,3] => 1
[5,3,1,2,7,4,6] => [5,3,1,2,4,6] => [1,5,4,2,3,6] => 1
[5,3,1,2,7,6,4] => [5,3,1,2,6,4] => [1,5,6,4,2,3] => 1
[5,3,1,4,2,6,7] => [5,3,1,4,2,6] => [1,5,2,3,4,6] => 1
[5,3,1,4,2,7,6] => [5,3,1,4,2,6] => [1,5,2,3,4,6] => 1
[5,3,1,4,6,2,7] => [5,3,1,4,6,2] => [1,5,6,2,3,4] => 1
[5,3,1,4,6,7,2] => [5,3,1,4,6,2] => [1,5,6,2,3,4] => 1
[5,3,1,4,7,2,6] => [5,3,1,4,2,6] => [1,5,2,3,4,6] => 1
[5,3,1,4,7,6,2] => [5,3,1,4,6,2] => [1,5,6,2,3,4] => 1
[5,3,1,6,2,4,7] => [5,3,1,6,2,4] => [1,5,2,3,4,6] => 1
[5,3,1,6,2,7,4] => [5,3,1,6,2,4] => [1,5,2,3,4,6] => 1
[5,3,1,6,4,2,7] => [5,3,1,6,4,2] => [1,5,4,6,2,3] => 2
[5,3,1,6,4,7,2] => [5,3,1,6,4,2] => [1,5,4,6,2,3] => 2
[5,3,1,6,7,2,4] => [5,3,1,6,2,4] => [1,5,2,3,4,6] => 1
[5,3,1,6,7,4,2] => [5,3,1,6,4,2] => [1,5,4,6,2,3] => 2
[5,3,1,7,2,4,6] => [5,3,1,2,4,6] => [1,5,4,2,3,6] => 1
[5,3,1,7,2,6,4] => [5,3,1,2,6,4] => [1,5,6,4,2,3] => 1
[5,3,1,7,4,2,6] => [5,3,1,4,2,6] => [1,5,2,3,4,6] => 1
[5,3,1,7,4,6,2] => [5,3,1,4,6,2] => [1,5,6,2,3,4] => 1
[5,3,1,7,6,2,4] => [5,3,1,6,2,4] => [1,5,2,3,4,6] => 1
[5,3,1,7,6,4,2] => [5,3,1,6,4,2] => [1,5,4,6,2,3] => 2
[5,3,2,1,4,6,7] => [5,3,2,1,4,6] => [1,5,4,2,3,6] => 1
[5,3,2,1,4,7,6] => [5,3,2,1,4,6] => [1,5,4,2,3,6] => 1
[5,3,2,1,6,4,7] => [5,3,2,1,6,4] => [1,5,6,4,2,3] => 1
[5,3,2,1,6,7,4] => [5,3,2,1,6,4] => [1,5,6,4,2,3] => 1
[5,3,2,1,7,4,6] => [5,3,2,1,4,6] => [1,5,4,2,3,6] => 1
[5,3,2,1,7,6,4] => [5,3,2,1,6,4] => [1,5,6,4,2,3] => 1
[5,3,2,4,1,6,7] => [5,3,2,4,1,6] => [1,5,2,3,4,6] => 1
[5,3,2,4,1,7,6] => [5,3,2,4,1,6] => [1,5,2,3,4,6] => 1
[5,3,2,4,6,1,7] => [5,3,2,4,6,1] => [1,5,6,2,3,4] => 1
[5,3,2,4,6,7,1] => [5,3,2,4,6,1] => [1,5,6,2,3,4] => 1
[5,3,2,4,7,1,6] => [5,3,2,4,1,6] => [1,5,2,3,4,6] => 1
[5,3,2,4,7,6,1] => [5,3,2,4,6,1] => [1,5,6,2,3,4] => 1
[5,3,2,6,1,4,7] => [5,3,2,6,1,4] => [1,5,2,3,4,6] => 1
[5,3,2,6,1,7,4] => [5,3,2,6,1,4] => [1,5,2,3,4,6] => 1
[5,3,2,6,4,1,7] => [5,3,2,6,4,1] => [1,5,4,6,2,3] => 2
[5,3,2,6,4,7,1] => [5,3,2,6,4,1] => [1,5,4,6,2,3] => 2
[5,3,2,6,7,1,4] => [5,3,2,6,1,4] => [1,5,2,3,4,6] => 1
[5,3,2,6,7,4,1] => [5,3,2,6,4,1] => [1,5,4,6,2,3] => 2
[5,3,2,7,1,4,6] => [5,3,2,1,4,6] => [1,5,4,2,3,6] => 1
[5,3,2,7,1,6,4] => [5,3,2,1,6,4] => [1,5,6,4,2,3] => 1
[5,3,2,7,4,1,6] => [5,3,2,4,1,6] => [1,5,2,3,4,6] => 1
[5,3,2,7,4,6,1] => [5,3,2,4,6,1] => [1,5,6,2,3,4] => 1
[5,3,2,7,6,1,4] => [5,3,2,6,1,4] => [1,5,2,3,4,6] => 1
[5,3,2,7,6,4,1] => [5,3,2,6,4,1] => [1,5,4,6,2,3] => 2
[5,3,4,1,2,6,7] => [5,3,4,1,2,6] => [1,5,2,3,4,6] => 1
[5,3,4,1,2,7,6] => [5,3,4,1,2,6] => [1,5,2,3,4,6] => 1
[5,3,4,1,6,2,7] => [5,3,4,1,6,2] => [1,5,6,2,3,4] => 1
[5,3,4,1,6,7,2] => [5,3,4,1,6,2] => [1,5,6,2,3,4] => 1
[5,3,4,1,7,2,6] => [5,3,4,1,2,6] => [1,5,2,3,4,6] => 1
[5,3,4,1,7,6,2] => [5,3,4,1,6,2] => [1,5,6,2,3,4] => 1
[5,3,4,2,1,6,7] => [5,3,4,2,1,6] => [1,5,2,3,4,6] => 1
[5,3,4,2,1,7,6] => [5,3,4,2,1,6] => [1,5,2,3,4,6] => 1
[5,3,4,2,6,1,7] => [5,3,4,2,6,1] => [1,5,6,2,3,4] => 1
[5,3,4,2,6,7,1] => [5,3,4,2,6,1] => [1,5,6,2,3,4] => 1
[5,3,4,2,7,1,6] => [5,3,4,2,1,6] => [1,5,2,3,4,6] => 1
[5,3,4,2,7,6,1] => [5,3,4,2,6,1] => [1,5,6,2,3,4] => 1
[5,3,4,6,1,2,7] => [5,3,4,6,1,2] => [1,5,2,3,4,6] => 1
[5,3,4,6,1,7,2] => [5,3,4,6,1,2] => [1,5,2,3,4,6] => 1
[5,3,4,6,2,1,7] => [5,3,4,6,2,1] => [1,5,2,3,4,6] => 1
[5,3,4,6,2,7,1] => [5,3,4,6,2,1] => [1,5,2,3,4,6] => 1
[5,3,4,6,7,1,2] => [5,3,4,6,1,2] => [1,5,2,3,4,6] => 1
[5,3,4,6,7,2,1] => [5,3,4,6,2,1] => [1,5,2,3,4,6] => 1
[5,3,4,7,1,2,6] => [5,3,4,1,2,6] => [1,5,2,3,4,6] => 1
[5,3,4,7,1,6,2] => [5,3,4,1,6,2] => [1,5,6,2,3,4] => 1
[5,3,4,7,2,1,6] => [5,3,4,2,1,6] => [1,5,2,3,4,6] => 1
[5,3,4,7,2,6,1] => [5,3,4,2,6,1] => [1,5,6,2,3,4] => 1
[5,3,4,7,6,1,2] => [5,3,4,6,1,2] => [1,5,2,3,4,6] => 1
[5,3,4,7,6,2,1] => [5,3,4,6,2,1] => [1,5,2,3,4,6] => 1
[5,3,6,1,2,4,7] => [5,3,6,1,2,4] => [1,5,2,3,6,4] => 2
[5,3,6,1,2,7,4] => [5,3,6,1,2,4] => [1,5,2,3,6,4] => 2
[5,3,6,1,4,2,7] => [5,3,6,1,4,2] => [1,5,4,2,3,6] => 1
[5,3,6,1,4,7,2] => [5,3,6,1,4,2] => [1,5,4,2,3,6] => 1
[5,3,6,1,7,2,4] => [5,3,6,1,2,4] => [1,5,2,3,6,4] => 2
[5,3,6,1,7,4,2] => [5,3,6,1,4,2] => [1,5,4,2,3,6] => 1
[5,3,6,2,1,4,7] => [5,3,6,2,1,4] => [1,5,2,3,6,4] => 2
[5,3,6,2,1,7,4] => [5,3,6,2,1,4] => [1,5,2,3,6,4] => 2
[5,3,6,2,4,1,7] => [5,3,6,2,4,1] => [1,5,4,2,3,6] => 1
[5,3,6,2,4,7,1] => [5,3,6,2,4,1] => [1,5,4,2,3,6] => 1
[5,3,6,2,7,1,4] => [5,3,6,2,1,4] => [1,5,2,3,6,4] => 2
[5,3,6,2,7,4,1] => [5,3,6,2,4,1] => [1,5,4,2,3,6] => 1
[5,3,6,4,1,2,7] => [5,3,6,4,1,2] => [1,5,2,3,6,4] => 2
[5,3,6,4,1,7,2] => [5,3,6,4,1,2] => [1,5,2,3,6,4] => 2
[5,3,6,4,2,1,7] => [5,3,6,4,2,1] => [1,5,2,3,6,4] => 2
[5,3,6,4,2,7,1] => [5,3,6,4,2,1] => [1,5,2,3,6,4] => 2
[5,3,6,4,7,1,2] => [5,3,6,4,1,2] => [1,5,2,3,6,4] => 2
[5,3,6,4,7,2,1] => [5,3,6,4,2,1] => [1,5,2,3,6,4] => 2
[5,3,6,7,1,2,4] => [5,3,6,1,2,4] => [1,5,2,3,6,4] => 2
[5,3,6,7,1,4,2] => [5,3,6,1,4,2] => [1,5,4,2,3,6] => 1
[5,3,6,7,2,1,4] => [5,3,6,2,1,4] => [1,5,2,3,6,4] => 2
[5,3,6,7,2,4,1] => [5,3,6,2,4,1] => [1,5,4,2,3,6] => 1
[5,3,6,7,4,1,2] => [5,3,6,4,1,2] => [1,5,2,3,6,4] => 2
[5,3,6,7,4,2,1] => [5,3,6,4,2,1] => [1,5,2,3,6,4] => 2
[5,3,7,1,2,4,6] => [5,3,1,2,4,6] => [1,5,4,2,3,6] => 1
[5,3,7,1,2,6,4] => [5,3,1,2,6,4] => [1,5,6,4,2,3] => 1
[5,3,7,1,4,2,6] => [5,3,1,4,2,6] => [1,5,2,3,4,6] => 1
[5,3,7,1,4,6,2] => [5,3,1,4,6,2] => [1,5,6,2,3,4] => 1
[5,3,7,1,6,2,4] => [5,3,1,6,2,4] => [1,5,2,3,4,6] => 1
[5,3,7,1,6,4,2] => [5,3,1,6,4,2] => [1,5,4,6,2,3] => 2
[5,3,7,2,1,4,6] => [5,3,2,1,4,6] => [1,5,4,2,3,6] => 1
[5,3,7,2,1,6,4] => [5,3,2,1,6,4] => [1,5,6,4,2,3] => 1
[5,3,7,2,4,1,6] => [5,3,2,4,1,6] => [1,5,2,3,4,6] => 1
[5,3,7,2,4,6,1] => [5,3,2,4,6,1] => [1,5,6,2,3,4] => 1
[5,3,7,2,6,1,4] => [5,3,2,6,1,4] => [1,5,2,3,4,6] => 1
[5,3,7,2,6,4,1] => [5,3,2,6,4,1] => [1,5,4,6,2,3] => 2
[5,3,7,4,1,2,6] => [5,3,4,1,2,6] => [1,5,2,3,4,6] => 1
[5,3,7,4,1,6,2] => [5,3,4,1,6,2] => [1,5,6,2,3,4] => 1
[5,3,7,4,2,1,6] => [5,3,4,2,1,6] => [1,5,2,3,4,6] => 1
[5,3,7,4,2,6,1] => [5,3,4,2,6,1] => [1,5,6,2,3,4] => 1
[5,3,7,4,6,1,2] => [5,3,4,6,1,2] => [1,5,2,3,4,6] => 1
[5,3,7,4,6,2,1] => [5,3,4,6,2,1] => [1,5,2,3,4,6] => 1
[5,3,7,6,1,2,4] => [5,3,6,1,2,4] => [1,5,2,3,6,4] => 2
[5,3,7,6,1,4,2] => [5,3,6,1,4,2] => [1,5,4,2,3,6] => 1
[5,3,7,6,2,1,4] => [5,3,6,2,1,4] => [1,5,2,3,6,4] => 2
[5,3,7,6,2,4,1] => [5,3,6,2,4,1] => [1,5,4,2,3,6] => 1
[5,3,7,6,4,1,2] => [5,3,6,4,1,2] => [1,5,2,3,6,4] => 2
[5,3,7,6,4,2,1] => [5,3,6,4,2,1] => [1,5,2,3,6,4] => 2
[5,4,1,2,3,6,7] => [5,4,1,2,3,6] => [1,5,3,2,4,6] => 1
[5,4,1,2,3,7,6] => [5,4,1,2,3,6] => [1,5,3,2,4,6] => 1
[5,4,1,2,6,3,7] => [5,4,1,2,6,3] => [1,5,6,3,2,4] => 1
[5,4,1,2,6,7,3] => [5,4,1,2,6,3] => [1,5,6,3,2,4] => 1
[5,4,1,2,7,3,6] => [5,4,1,2,3,6] => [1,5,3,2,4,6] => 1
[5,4,1,2,7,6,3] => [5,4,1,2,6,3] => [1,5,6,3,2,4] => 1
[5,4,1,3,2,6,7] => [5,4,1,3,2,6] => [1,5,2,4,3,6] => 2
[5,4,1,3,2,7,6] => [5,4,1,3,2,6] => [1,5,2,4,3,6] => 2
[5,4,1,3,6,2,7] => [5,4,1,3,6,2] => [1,5,6,2,4,3] => 2
[5,4,1,3,6,7,2] => [5,4,1,3,6,2] => [1,5,6,2,4,3] => 2
[5,4,1,3,7,2,6] => [5,4,1,3,2,6] => [1,5,2,4,3,6] => 2
[5,4,1,3,7,6,2] => [5,4,1,3,6,2] => [1,5,6,2,4,3] => 2
[5,4,1,6,2,3,7] => [5,4,1,6,2,3] => [1,5,2,4,6,3] => 2
[5,4,1,6,2,7,3] => [5,4,1,6,2,3] => [1,5,2,4,6,3] => 2
[5,4,1,6,3,2,7] => [5,4,1,6,3,2] => [1,5,3,2,4,6] => 1
[5,4,1,6,3,7,2] => [5,4,1,6,3,2] => [1,5,3,2,4,6] => 1
[5,4,1,6,7,2,3] => [5,4,1,6,2,3] => [1,5,2,4,6,3] => 2
[5,4,1,6,7,3,2] => [5,4,1,6,3,2] => [1,5,3,2,4,6] => 1
[5,4,1,7,2,3,6] => [5,4,1,2,3,6] => [1,5,3,2,4,6] => 1
[5,4,1,7,2,6,3] => [5,4,1,2,6,3] => [1,5,6,3,2,4] => 1
[5,4,1,7,3,2,6] => [5,4,1,3,2,6] => [1,5,2,4,3,6] => 2
[5,4,1,7,3,6,2] => [5,4,1,3,6,2] => [1,5,6,2,4,3] => 2
[5,4,1,7,6,2,3] => [5,4,1,6,2,3] => [1,5,2,4,6,3] => 2
[5,4,1,7,6,3,2] => [5,4,1,6,3,2] => [1,5,3,2,4,6] => 1
[5,4,2,1,3,6,7] => [5,4,2,1,3,6] => [1,5,3,2,4,6] => 1
[5,4,2,1,3,7,6] => [5,4,2,1,3,6] => [1,5,3,2,4,6] => 1
[5,4,2,1,6,3,7] => [5,4,2,1,6,3] => [1,5,6,3,2,4] => 1
[5,4,2,1,6,7,3] => [5,4,2,1,6,3] => [1,5,6,3,2,4] => 1
[5,4,2,1,7,3,6] => [5,4,2,1,3,6] => [1,5,3,2,4,6] => 1
[5,4,2,1,7,6,3] => [5,4,2,1,6,3] => [1,5,6,3,2,4] => 1
[5,4,2,3,1,6,7] => [5,4,2,3,1,6] => [1,5,2,4,3,6] => 2
[5,4,2,3,1,7,6] => [5,4,2,3,1,6] => [1,5,2,4,3,6] => 2
[5,4,2,3,6,1,7] => [5,4,2,3,6,1] => [1,5,6,2,4,3] => 2
[5,4,2,3,6,7,1] => [5,4,2,3,6,1] => [1,5,6,2,4,3] => 2
[5,4,2,3,7,1,6] => [5,4,2,3,1,6] => [1,5,2,4,3,6] => 2
[5,4,2,3,7,6,1] => [5,4,2,3,6,1] => [1,5,6,2,4,3] => 2
[5,4,2,6,1,3,7] => [5,4,2,6,1,3] => [1,5,2,4,6,3] => 2
[5,4,2,6,1,7,3] => [5,4,2,6,1,3] => [1,5,2,4,6,3] => 2
[5,4,2,6,3,1,7] => [5,4,2,6,3,1] => [1,5,3,2,4,6] => 1
[5,4,2,6,3,7,1] => [5,4,2,6,3,1] => [1,5,3,2,4,6] => 1
[5,4,2,6,7,1,3] => [5,4,2,6,1,3] => [1,5,2,4,6,3] => 2
[5,4,2,6,7,3,1] => [5,4,2,6,3,1] => [1,5,3,2,4,6] => 1
[5,4,2,7,1,3,6] => [5,4,2,1,3,6] => [1,5,3,2,4,6] => 1
[5,4,2,7,1,6,3] => [5,4,2,1,6,3] => [1,5,6,3,2,4] => 1
[5,4,2,7,3,1,6] => [5,4,2,3,1,6] => [1,5,2,4,3,6] => 2
[5,4,2,7,3,6,1] => [5,4,2,3,6,1] => [1,5,6,2,4,3] => 2
[5,4,2,7,6,1,3] => [5,4,2,6,1,3] => [1,5,2,4,6,3] => 2
[5,4,2,7,6,3,1] => [5,4,2,6,3,1] => [1,5,3,2,4,6] => 1
[5,4,3,1,2,6,7] => [5,4,3,1,2,6] => [1,5,2,4,3,6] => 2
[5,4,3,1,2,7,6] => [5,4,3,1,2,6] => [1,5,2,4,3,6] => 2
[5,4,3,1,6,2,7] => [5,4,3,1,6,2] => [1,5,6,2,4,3] => 2
[5,4,3,1,6,7,2] => [5,4,3,1,6,2] => [1,5,6,2,4,3] => 2
[5,4,3,1,7,2,6] => [5,4,3,1,2,6] => [1,5,2,4,3,6] => 2
[5,4,3,1,7,6,2] => [5,4,3,1,6,2] => [1,5,6,2,4,3] => 2
[5,4,3,2,1,6,7] => [5,4,3,2,1,6] => [1,5,2,4,3,6] => 2
[5,4,3,2,1,7,6] => [5,4,3,2,1,6] => [1,5,2,4,3,6] => 2
[5,4,3,2,6,1,7] => [5,4,3,2,6,1] => [1,5,6,2,4,3] => 2
[5,4,3,2,6,7,1] => [5,4,3,2,6,1] => [1,5,6,2,4,3] => 2
[5,4,3,2,7,1,6] => [5,4,3,2,1,6] => [1,5,2,4,3,6] => 2
[5,4,3,2,7,6,1] => [5,4,3,2,6,1] => [1,5,6,2,4,3] => 2
[5,4,3,6,1,2,7] => [5,4,3,6,1,2] => [1,5,2,4,6,3] => 2
[5,4,3,6,1,7,2] => [5,4,3,6,1,2] => [1,5,2,4,6,3] => 2
[5,4,3,6,2,1,7] => [5,4,3,6,2,1] => [1,5,2,4,6,3] => 2
[5,4,3,6,2,7,1] => [5,4,3,6,2,1] => [1,5,2,4,6,3] => 2
[5,4,3,6,7,1,2] => [5,4,3,6,1,2] => [1,5,2,4,6,3] => 2
[5,4,3,6,7,2,1] => [5,4,3,6,2,1] => [1,5,2,4,6,3] => 2
[5,4,3,7,1,2,6] => [5,4,3,1,2,6] => [1,5,2,4,3,6] => 2
[5,4,3,7,1,6,2] => [5,4,3,1,6,2] => [1,5,6,2,4,3] => 2
[5,4,3,7,2,1,6] => [5,4,3,2,1,6] => [1,5,2,4,3,6] => 2
[5,4,3,7,2,6,1] => [5,4,3,2,6,1] => [1,5,6,2,4,3] => 2
[5,4,3,7,6,1,2] => [5,4,3,6,1,2] => [1,5,2,4,6,3] => 2
[5,4,3,7,6,2,1] => [5,4,3,6,2,1] => [1,5,2,4,6,3] => 2
[5,4,6,1,2,3,7] => [5,4,6,1,2,3] => [1,5,2,4,3,6] => 2
[5,4,6,1,2,7,3] => [5,4,6,1,2,3] => [1,5,2,4,3,6] => 2
[5,4,6,1,3,2,7] => [5,4,6,1,3,2] => [1,5,3,6,2,4] => 2
[5,4,6,1,3,7,2] => [5,4,6,1,3,2] => [1,5,3,6,2,4] => 2
[5,4,6,1,7,2,3] => [5,4,6,1,2,3] => [1,5,2,4,3,6] => 2
[5,4,6,1,7,3,2] => [5,4,6,1,3,2] => [1,5,3,6,2,4] => 2
[5,4,6,2,1,3,7] => [5,4,6,2,1,3] => [1,5,2,4,3,6] => 2
[5,4,6,2,1,7,3] => [5,4,6,2,1,3] => [1,5,2,4,3,6] => 2
[5,4,6,2,3,1,7] => [5,4,6,2,3,1] => [1,5,3,6,2,4] => 2
[5,4,6,2,3,7,1] => [5,4,6,2,3,1] => [1,5,3,6,2,4] => 2
[5,4,6,2,7,1,3] => [5,4,6,2,1,3] => [1,5,2,4,3,6] => 2
[5,4,6,2,7,3,1] => [5,4,6,2,3,1] => [1,5,3,6,2,4] => 2
[5,4,6,3,1,2,7] => [5,4,6,3,1,2] => [1,5,2,4,3,6] => 2
[5,4,6,3,1,7,2] => [5,4,6,3,1,2] => [1,5,2,4,3,6] => 2
[5,4,6,3,2,1,7] => [5,4,6,3,2,1] => [1,5,2,4,3,6] => 2
[5,4,6,3,2,7,1] => [5,4,6,3,2,1] => [1,5,2,4,3,6] => 2
[5,4,6,3,7,1,2] => [5,4,6,3,1,2] => [1,5,2,4,3,6] => 2
[5,4,6,3,7,2,1] => [5,4,6,3,2,1] => [1,5,2,4,3,6] => 2
[5,4,6,7,1,2,3] => [5,4,6,1,2,3] => [1,5,2,4,3,6] => 2
[5,4,6,7,1,3,2] => [5,4,6,1,3,2] => [1,5,3,6,2,4] => 2
[5,4,6,7,2,1,3] => [5,4,6,2,1,3] => [1,5,2,4,3,6] => 2
[5,4,6,7,2,3,1] => [5,4,6,2,3,1] => [1,5,3,6,2,4] => 2
[5,4,6,7,3,1,2] => [5,4,6,3,1,2] => [1,5,2,4,3,6] => 2
[5,4,6,7,3,2,1] => [5,4,6,3,2,1] => [1,5,2,4,3,6] => 2
[5,4,7,1,2,3,6] => [5,4,1,2,3,6] => [1,5,3,2,4,6] => 1
[5,4,7,1,2,6,3] => [5,4,1,2,6,3] => [1,5,6,3,2,4] => 1
[5,4,7,1,3,2,6] => [5,4,1,3,2,6] => [1,5,2,4,3,6] => 2
[5,4,7,1,3,6,2] => [5,4,1,3,6,2] => [1,5,6,2,4,3] => 2
[5,4,7,1,6,2,3] => [5,4,1,6,2,3] => [1,5,2,4,6,3] => 2
[5,4,7,1,6,3,2] => [5,4,1,6,3,2] => [1,5,3,2,4,6] => 1
[5,4,7,2,1,3,6] => [5,4,2,1,3,6] => [1,5,3,2,4,6] => 1
[5,4,7,2,1,6,3] => [5,4,2,1,6,3] => [1,5,6,3,2,4] => 1
[5,4,7,2,3,1,6] => [5,4,2,3,1,6] => [1,5,2,4,3,6] => 2
[5,4,7,2,3,6,1] => [5,4,2,3,6,1] => [1,5,6,2,4,3] => 2
[5,4,7,2,6,1,3] => [5,4,2,6,1,3] => [1,5,2,4,6,3] => 2
[5,4,7,2,6,3,1] => [5,4,2,6,3,1] => [1,5,3,2,4,6] => 1
[5,4,7,3,1,2,6] => [5,4,3,1,2,6] => [1,5,2,4,3,6] => 2
[5,4,7,3,1,6,2] => [5,4,3,1,6,2] => [1,5,6,2,4,3] => 2
[5,4,7,3,2,1,6] => [5,4,3,2,1,6] => [1,5,2,4,3,6] => 2
[5,4,7,3,2,6,1] => [5,4,3,2,6,1] => [1,5,6,2,4,3] => 2
[5,4,7,3,6,1,2] => [5,4,3,6,1,2] => [1,5,2,4,6,3] => 2
[5,4,7,3,6,2,1] => [5,4,3,6,2,1] => [1,5,2,4,6,3] => 2
[5,4,7,6,1,2,3] => [5,4,6,1,2,3] => [1,5,2,4,3,6] => 2
[5,4,7,6,1,3,2] => [5,4,6,1,3,2] => [1,5,3,6,2,4] => 2
[5,4,7,6,2,1,3] => [5,4,6,2,1,3] => [1,5,2,4,3,6] => 2
[5,4,7,6,2,3,1] => [5,4,6,2,3,1] => [1,5,3,6,2,4] => 2
[5,4,7,6,3,1,2] => [5,4,6,3,1,2] => [1,5,2,4,3,6] => 2
[5,4,7,6,3,2,1] => [5,4,6,3,2,1] => [1,5,2,4,3,6] => 2
[5,6,1,2,3,4,7] => [5,6,1,2,3,4] => [1,5,3,2,6,4] => 2
[5,6,1,2,3,7,4] => [5,6,1,2,3,4] => [1,5,3,2,6,4] => 2
[5,6,1,2,4,3,7] => [5,6,1,2,4,3] => [1,5,4,2,6,3] => 2
[5,6,1,2,4,7,3] => [5,6,1,2,4,3] => [1,5,4,2,6,3] => 2
[5,6,1,2,7,3,4] => [5,6,1,2,3,4] => [1,5,3,2,6,4] => 2
[5,6,1,2,7,4,3] => [5,6,1,2,4,3] => [1,5,4,2,6,3] => 2
[5,6,1,3,2,4,7] => [5,6,1,3,2,4] => [1,5,2,6,4,3] => 2
[5,6,1,3,2,7,4] => [5,6,1,3,2,4] => [1,5,2,6,4,3] => 2
[5,6,1,3,4,2,7] => [5,6,1,3,4,2] => [1,5,4,3,2,6] => 1
[5,6,1,3,4,7,2] => [5,6,1,3,4,2] => [1,5,4,3,2,6] => 1
[5,6,1,3,7,2,4] => [5,6,1,3,2,4] => [1,5,2,6,4,3] => 2
[5,6,1,3,7,4,2] => [5,6,1,3,4,2] => [1,5,4,3,2,6] => 1
[5,6,1,4,2,3,7] => [5,6,1,4,2,3] => [1,5,2,6,3,4] => 2
[5,6,1,4,2,7,3] => [5,6,1,4,2,3] => [1,5,2,6,3,4] => 2
[5,6,1,4,3,2,7] => [5,6,1,4,3,2] => [1,5,3,2,6,4] => 2
[5,6,1,4,3,7,2] => [5,6,1,4,3,2] => [1,5,3,2,6,4] => 2
[5,6,1,4,7,2,3] => [5,6,1,4,2,3] => [1,5,2,6,3,4] => 2
[5,6,1,4,7,3,2] => [5,6,1,4,3,2] => [1,5,3,2,6,4] => 2
[5,6,1,7,2,3,4] => [5,6,1,2,3,4] => [1,5,3,2,6,4] => 2
[5,6,1,7,2,4,3] => [5,6,1,2,4,3] => [1,5,4,2,6,3] => 2
[5,6,1,7,3,2,4] => [5,6,1,3,2,4] => [1,5,2,6,4,3] => 2
[5,6,1,7,3,4,2] => [5,6,1,3,4,2] => [1,5,4,3,2,6] => 1
[5,6,1,7,4,2,3] => [5,6,1,4,2,3] => [1,5,2,6,3,4] => 2
[5,6,1,7,4,3,2] => [5,6,1,4,3,2] => [1,5,3,2,6,4] => 2
[5,6,2,1,3,4,7] => [5,6,2,1,3,4] => [1,5,3,2,6,4] => 2
[5,6,2,1,3,7,4] => [5,6,2,1,3,4] => [1,5,3,2,6,4] => 2
[5,6,2,1,4,3,7] => [5,6,2,1,4,3] => [1,5,4,2,6,3] => 2
[5,6,2,1,4,7,3] => [5,6,2,1,4,3] => [1,5,4,2,6,3] => 2
[5,6,2,1,7,3,4] => [5,6,2,1,3,4] => [1,5,3,2,6,4] => 2
[5,6,2,1,7,4,3] => [5,6,2,1,4,3] => [1,5,4,2,6,3] => 2
[5,6,2,3,1,4,7] => [5,6,2,3,1,4] => [1,5,2,6,4,3] => 2
[5,6,2,3,1,7,4] => [5,6,2,3,1,4] => [1,5,2,6,4,3] => 2
[5,6,2,3,4,1,7] => [5,6,2,3,4,1] => [1,5,4,3,2,6] => 1
[5,6,2,3,4,7,1] => [5,6,2,3,4,1] => [1,5,4,3,2,6] => 1
[5,6,2,3,7,1,4] => [5,6,2,3,1,4] => [1,5,2,6,4,3] => 2
[5,6,2,3,7,4,1] => [5,6,2,3,4,1] => [1,5,4,3,2,6] => 1
[5,6,2,4,1,3,7] => [5,6,2,4,1,3] => [1,5,2,6,3,4] => 2
[5,6,2,4,1,7,3] => [5,6,2,4,1,3] => [1,5,2,6,3,4] => 2
[5,6,2,4,3,1,7] => [5,6,2,4,3,1] => [1,5,3,2,6,4] => 2
[5,6,2,4,3,7,1] => [5,6,2,4,3,1] => [1,5,3,2,6,4] => 2
[5,6,2,4,7,1,3] => [5,6,2,4,1,3] => [1,5,2,6,3,4] => 2
[5,6,2,4,7,3,1] => [5,6,2,4,3,1] => [1,5,3,2,6,4] => 2
[5,6,2,7,1,3,4] => [5,6,2,1,3,4] => [1,5,3,2,6,4] => 2
[5,6,2,7,1,4,3] => [5,6,2,1,4,3] => [1,5,4,2,6,3] => 2
[5,6,2,7,3,1,4] => [5,6,2,3,1,4] => [1,5,2,6,4,3] => 2
[5,6,2,7,3,4,1] => [5,6,2,3,4,1] => [1,5,4,3,2,6] => 1
[5,6,2,7,4,1,3] => [5,6,2,4,1,3] => [1,5,2,6,3,4] => 2
[5,6,2,7,4,3,1] => [5,6,2,4,3,1] => [1,5,3,2,6,4] => 2
[5,6,3,1,2,4,7] => [5,6,3,1,2,4] => [1,5,2,6,4,3] => 2
[5,6,3,1,2,7,4] => [5,6,3,1,2,4] => [1,5,2,6,4,3] => 2
[5,6,3,1,4,2,7] => [5,6,3,1,4,2] => [1,5,4,2,6,3] => 2
[5,6,3,1,4,7,2] => [5,6,3,1,4,2] => [1,5,4,2,6,3] => 2
[5,6,3,1,7,2,4] => [5,6,3,1,2,4] => [1,5,2,6,4,3] => 2
[5,6,3,1,7,4,2] => [5,6,3,1,4,2] => [1,5,4,2,6,3] => 2
[5,6,3,2,1,4,7] => [5,6,3,2,1,4] => [1,5,2,6,4,3] => 2
[5,6,3,2,1,7,4] => [5,6,3,2,1,4] => [1,5,2,6,4,3] => 2
[5,6,3,2,4,1,7] => [5,6,3,2,4,1] => [1,5,4,2,6,3] => 2
[5,6,3,2,4,7,1] => [5,6,3,2,4,1] => [1,5,4,2,6,3] => 2
[5,6,3,2,7,1,4] => [5,6,3,2,1,4] => [1,5,2,6,4,3] => 2
[5,6,3,2,7,4,1] => [5,6,3,2,4,1] => [1,5,4,2,6,3] => 2
[5,6,3,4,1,2,7] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => 2
[5,6,3,4,1,7,2] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => 2
[5,6,3,4,2,1,7] => [5,6,3,4,2,1] => [1,5,2,6,3,4] => 2
[5,6,3,4,2,7,1] => [5,6,3,4,2,1] => [1,5,2,6,3,4] => 2
[5,6,3,4,7,1,2] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => 2
[5,6,3,4,7,2,1] => [5,6,3,4,2,1] => [1,5,2,6,3,4] => 2
[5,6,3,7,1,2,4] => [5,6,3,1,2,4] => [1,5,2,6,4,3] => 2
[5,6,3,7,1,4,2] => [5,6,3,1,4,2] => [1,5,4,2,6,3] => 2
[5,6,3,7,2,1,4] => [5,6,3,2,1,4] => [1,5,2,6,4,3] => 2
[5,6,3,7,2,4,1] => [5,6,3,2,4,1] => [1,5,4,2,6,3] => 2
[5,6,3,7,4,1,2] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => 2
[5,6,3,7,4,2,1] => [5,6,3,4,2,1] => [1,5,2,6,3,4] => 2
[5,6,4,1,2,3,7] => [5,6,4,1,2,3] => [1,5,2,6,3,4] => 2
[5,6,4,1,2,7,3] => [5,6,4,1,2,3] => [1,5,2,6,3,4] => 2
[5,6,4,1,3,2,7] => [5,6,4,1,3,2] => [1,5,3,4,2,6] => 2
[5,6,4,1,3,7,2] => [5,6,4,1,3,2] => [1,5,3,4,2,6] => 2
[5,6,4,1,7,2,3] => [5,6,4,1,2,3] => [1,5,2,6,3,4] => 2
[5,6,4,1,7,3,2] => [5,6,4,1,3,2] => [1,5,3,4,2,6] => 2
[5,6,4,2,1,3,7] => [5,6,4,2,1,3] => [1,5,2,6,3,4] => 2
[5,6,4,2,1,7,3] => [5,6,4,2,1,3] => [1,5,2,6,3,4] => 2
[5,6,4,2,3,1,7] => [5,6,4,2,3,1] => [1,5,3,4,2,6] => 2
[5,6,4,2,3,7,1] => [5,6,4,2,3,1] => [1,5,3,4,2,6] => 2
[5,6,4,2,7,1,3] => [5,6,4,2,1,3] => [1,5,2,6,3,4] => 2
[5,6,4,2,7,3,1] => [5,6,4,2,3,1] => [1,5,3,4,2,6] => 2
[5,6,4,3,1,2,7] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => 2
[5,6,4,3,1,7,2] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => 2
[5,6,4,3,2,1,7] => [5,6,4,3,2,1] => [1,5,2,6,3,4] => 2
[5,6,4,3,2,7,1] => [5,6,4,3,2,1] => [1,5,2,6,3,4] => 2
[5,6,4,3,7,1,2] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => 2
[5,6,4,3,7,2,1] => [5,6,4,3,2,1] => [1,5,2,6,3,4] => 2
[5,6,4,7,1,2,3] => [5,6,4,1,2,3] => [1,5,2,6,3,4] => 2
[5,6,4,7,1,3,2] => [5,6,4,1,3,2] => [1,5,3,4,2,6] => 2
[5,6,4,7,2,1,3] => [5,6,4,2,1,3] => [1,5,2,6,3,4] => 2
[5,6,4,7,2,3,1] => [5,6,4,2,3,1] => [1,5,3,4,2,6] => 2
[5,6,4,7,3,1,2] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => 2
[5,6,4,7,3,2,1] => [5,6,4,3,2,1] => [1,5,2,6,3,4] => 2
[5,6,7,1,2,3,4] => [5,6,1,2,3,4] => [1,5,3,2,6,4] => 2
[5,6,7,1,2,4,3] => [5,6,1,2,4,3] => [1,5,4,2,6,3] => 2
[5,6,7,1,3,2,4] => [5,6,1,3,2,4] => [1,5,2,6,4,3] => 2
[5,6,7,1,3,4,2] => [5,6,1,3,4,2] => [1,5,4,3,2,6] => 1
[5,6,7,1,4,2,3] => [5,6,1,4,2,3] => [1,5,2,6,3,4] => 2
[5,6,7,1,4,3,2] => [5,6,1,4,3,2] => [1,5,3,2,6,4] => 2
[5,6,7,2,1,3,4] => [5,6,2,1,3,4] => [1,5,3,2,6,4] => 2
[5,6,7,2,1,4,3] => [5,6,2,1,4,3] => [1,5,4,2,6,3] => 2
[5,6,7,2,3,1,4] => [5,6,2,3,1,4] => [1,5,2,6,4,3] => 2
[5,6,7,2,3,4,1] => [5,6,2,3,4,1] => [1,5,4,3,2,6] => 1
[5,6,7,2,4,1,3] => [5,6,2,4,1,3] => [1,5,2,6,3,4] => 2
[5,6,7,2,4,3,1] => [5,6,2,4,3,1] => [1,5,3,2,6,4] => 2
[5,6,7,3,1,2,4] => [5,6,3,1,2,4] => [1,5,2,6,4,3] => 2
[5,6,7,3,1,4,2] => [5,6,3,1,4,2] => [1,5,4,2,6,3] => 2
[5,6,7,3,2,1,4] => [5,6,3,2,1,4] => [1,5,2,6,4,3] => 2
[5,6,7,3,2,4,1] => [5,6,3,2,4,1] => [1,5,4,2,6,3] => 2
[5,6,7,3,4,1,2] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => 2
[5,6,7,3,4,2,1] => [5,6,3,4,2,1] => [1,5,2,6,3,4] => 2
[5,6,7,4,1,2,3] => [5,6,4,1,2,3] => [1,5,2,6,3,4] => 2
[5,6,7,4,1,3,2] => [5,6,4,1,3,2] => [1,5,3,4,2,6] => 2
[5,6,7,4,2,1,3] => [5,6,4,2,1,3] => [1,5,2,6,3,4] => 2
[5,6,7,4,2,3,1] => [5,6,4,2,3,1] => [1,5,3,4,2,6] => 2
[5,6,7,4,3,1,2] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => 2
[5,6,7,4,3,2,1] => [5,6,4,3,2,1] => [1,5,2,6,3,4] => 2
[5,7,1,2,3,4,6] => [5,1,2,3,4,6] => [1,5,4,3,2,6] => 1
[5,7,1,2,3,6,4] => [5,1,2,3,6,4] => [1,5,6,4,3,2] => 1
[5,7,1,2,4,3,6] => [5,1,2,4,3,6] => [1,5,3,2,4,6] => 1
[5,7,1,2,4,6,3] => [5,1,2,4,6,3] => [1,5,6,3,2,4] => 1
[5,7,1,2,6,3,4] => [5,1,2,6,3,4] => [1,5,3,2,4,6] => 1
[5,7,1,2,6,4,3] => [5,1,2,6,4,3] => [1,5,4,6,3,2] => 2
[5,7,1,3,2,4,6] => [5,1,3,2,4,6] => [1,5,4,2,3,6] => 1
[5,7,1,3,2,6,4] => [5,1,3,2,6,4] => [1,5,6,4,2,3] => 1
[5,7,1,3,4,2,6] => [5,1,3,4,2,6] => [1,5,2,3,4,6] => 1
[5,7,1,3,4,6,2] => [5,1,3,4,6,2] => [1,5,6,2,3,4] => 1
[5,7,1,3,6,2,4] => [5,1,3,6,2,4] => [1,5,2,3,4,6] => 1
[5,7,1,3,6,4,2] => [5,1,3,6,4,2] => [1,5,4,6,2,3] => 2
[5,7,1,4,2,3,6] => [5,1,4,2,3,6] => [1,5,3,4,2,6] => 2
[5,7,1,4,2,6,3] => [5,1,4,2,6,3] => [1,5,6,3,4,2] => 2
[5,7,1,4,3,2,6] => [5,1,4,3,2,6] => [1,5,2,3,4,6] => 1
[5,7,1,4,3,6,2] => [5,1,4,3,6,2] => [1,5,6,2,3,4] => 1
[5,7,1,4,6,2,3] => [5,1,4,6,2,3] => [1,5,2,3,4,6] => 1
[5,7,1,4,6,3,2] => [5,1,4,6,3,2] => [1,5,3,4,6,2] => 2
[5,7,1,6,2,3,4] => [5,1,6,2,3,4] => [1,5,3,6,4,2] => 2
[5,7,1,6,2,4,3] => [5,1,6,2,4,3] => [1,5,4,2,3,6] => 1
[5,7,1,6,3,2,4] => [5,1,6,3,2,4] => [1,5,2,3,6,4] => 2
[5,7,1,6,3,4,2] => [5,1,6,3,4,2] => [1,5,4,3,6,2] => 2
[5,7,1,6,4,2,3] => [5,1,6,4,2,3] => [1,5,2,3,6,4] => 2
[5,7,1,6,4,3,2] => [5,1,6,4,3,2] => [1,5,3,6,2,4] => 2
[5,7,2,1,3,4,6] => [5,2,1,3,4,6] => [1,5,4,3,2,6] => 1
[5,7,2,1,3,6,4] => [5,2,1,3,6,4] => [1,5,6,4,3,2] => 1
[5,7,2,1,4,3,6] => [5,2,1,4,3,6] => [1,5,3,2,4,6] => 1
[5,7,2,1,4,6,3] => [5,2,1,4,6,3] => [1,5,6,3,2,4] => 1
[5,7,2,1,6,3,4] => [5,2,1,6,3,4] => [1,5,3,2,4,6] => 1
[5,7,2,1,6,4,3] => [5,2,1,6,4,3] => [1,5,4,6,3,2] => 2
[5,7,2,3,1,4,6] => [5,2,3,1,4,6] => [1,5,4,2,3,6] => 1
[5,7,2,3,1,6,4] => [5,2,3,1,6,4] => [1,5,6,4,2,3] => 1
[5,7,2,3,4,1,6] => [5,2,3,4,1,6] => [1,5,2,3,4,6] => 1
[5,7,2,3,4,6,1] => [5,2,3,4,6,1] => [1,5,6,2,3,4] => 1
[5,7,2,3,6,1,4] => [5,2,3,6,1,4] => [1,5,2,3,4,6] => 1
[5,7,2,3,6,4,1] => [5,2,3,6,4,1] => [1,5,4,6,2,3] => 2
[5,7,2,4,1,3,6] => [5,2,4,1,3,6] => [1,5,3,4,2,6] => 2
[5,7,2,4,1,6,3] => [5,2,4,1,6,3] => [1,5,6,3,4,2] => 2
[5,7,2,4,3,1,6] => [5,2,4,3,1,6] => [1,5,2,3,4,6] => 1
[5,7,2,4,3,6,1] => [5,2,4,3,6,1] => [1,5,6,2,3,4] => 1
[5,7,2,4,6,1,3] => [5,2,4,6,1,3] => [1,5,2,3,4,6] => 1
[5,7,2,4,6,3,1] => [5,2,4,6,3,1] => [1,5,3,4,6,2] => 2
[5,7,2,6,1,3,4] => [5,2,6,1,3,4] => [1,5,3,6,4,2] => 2
[5,7,2,6,1,4,3] => [5,2,6,1,4,3] => [1,5,4,2,3,6] => 1
[5,7,2,6,3,1,4] => [5,2,6,3,1,4] => [1,5,2,3,6,4] => 2
[5,7,2,6,3,4,1] => [5,2,6,3,4,1] => [1,5,4,3,6,2] => 2
[5,7,2,6,4,1,3] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => 2
[5,7,2,6,4,3,1] => [5,2,6,4,3,1] => [1,5,3,6,2,4] => 2
[5,7,3,1,2,4,6] => [5,3,1,2,4,6] => [1,5,4,2,3,6] => 1
[5,7,3,1,2,6,4] => [5,3,1,2,6,4] => [1,5,6,4,2,3] => 1
[5,7,3,1,4,2,6] => [5,3,1,4,2,6] => [1,5,2,3,4,6] => 1
[5,7,3,1,4,6,2] => [5,3,1,4,6,2] => [1,5,6,2,3,4] => 1
[5,7,3,1,6,2,4] => [5,3,1,6,2,4] => [1,5,2,3,4,6] => 1
[5,7,3,1,6,4,2] => [5,3,1,6,4,2] => [1,5,4,6,2,3] => 2
[5,7,3,2,1,4,6] => [5,3,2,1,4,6] => [1,5,4,2,3,6] => 1
[5,7,3,2,1,6,4] => [5,3,2,1,6,4] => [1,5,6,4,2,3] => 1
[5,7,3,2,4,1,6] => [5,3,2,4,1,6] => [1,5,2,3,4,6] => 1
[5,7,3,2,4,6,1] => [5,3,2,4,6,1] => [1,5,6,2,3,4] => 1
[5,7,3,2,6,1,4] => [5,3,2,6,1,4] => [1,5,2,3,4,6] => 1
[5,7,3,2,6,4,1] => [5,3,2,6,4,1] => [1,5,4,6,2,3] => 2
[5,7,3,4,1,2,6] => [5,3,4,1,2,6] => [1,5,2,3,4,6] => 1
[5,7,3,4,1,6,2] => [5,3,4,1,6,2] => [1,5,6,2,3,4] => 1
[5,7,3,4,2,1,6] => [5,3,4,2,1,6] => [1,5,2,3,4,6] => 1
[5,7,3,4,2,6,1] => [5,3,4,2,6,1] => [1,5,6,2,3,4] => 1
[5,7,3,4,6,1,2] => [5,3,4,6,1,2] => [1,5,2,3,4,6] => 1
[5,7,3,4,6,2,1] => [5,3,4,6,2,1] => [1,5,2,3,4,6] => 1
[5,7,3,6,1,2,4] => [5,3,6,1,2,4] => [1,5,2,3,6,4] => 2
[5,7,3,6,1,4,2] => [5,3,6,1,4,2] => [1,5,4,2,3,6] => 1
[5,7,3,6,2,1,4] => [5,3,6,2,1,4] => [1,5,2,3,6,4] => 2
[5,7,3,6,2,4,1] => [5,3,6,2,4,1] => [1,5,4,2,3,6] => 1
[5,7,3,6,4,1,2] => [5,3,6,4,1,2] => [1,5,2,3,6,4] => 2
[5,7,3,6,4,2,1] => [5,3,6,4,2,1] => [1,5,2,3,6,4] => 2
[5,7,4,1,2,3,6] => [5,4,1,2,3,6] => [1,5,3,2,4,6] => 1
[5,7,4,1,2,6,3] => [5,4,1,2,6,3] => [1,5,6,3,2,4] => 1
[5,7,4,1,3,2,6] => [5,4,1,3,2,6] => [1,5,2,4,3,6] => 2
[5,7,4,1,3,6,2] => [5,4,1,3,6,2] => [1,5,6,2,4,3] => 2
[5,7,4,1,6,2,3] => [5,4,1,6,2,3] => [1,5,2,4,6,3] => 2
[5,7,4,1,6,3,2] => [5,4,1,6,3,2] => [1,5,3,2,4,6] => 1
[5,7,4,2,1,3,6] => [5,4,2,1,3,6] => [1,5,3,2,4,6] => 1
[5,7,4,2,1,6,3] => [5,4,2,1,6,3] => [1,5,6,3,2,4] => 1
[5,7,4,2,3,1,6] => [5,4,2,3,1,6] => [1,5,2,4,3,6] => 2
[5,7,4,2,3,6,1] => [5,4,2,3,6,1] => [1,5,6,2,4,3] => 2
[5,7,4,2,6,1,3] => [5,4,2,6,1,3] => [1,5,2,4,6,3] => 2
[5,7,4,2,6,3,1] => [5,4,2,6,3,1] => [1,5,3,2,4,6] => 1
[5,7,4,3,1,2,6] => [5,4,3,1,2,6] => [1,5,2,4,3,6] => 2
[5,7,4,3,1,6,2] => [5,4,3,1,6,2] => [1,5,6,2,4,3] => 2
[5,7,4,3,2,1,6] => [5,4,3,2,1,6] => [1,5,2,4,3,6] => 2
[5,7,4,3,2,6,1] => [5,4,3,2,6,1] => [1,5,6,2,4,3] => 2
[5,7,4,3,6,1,2] => [5,4,3,6,1,2] => [1,5,2,4,6,3] => 2
[5,7,4,3,6,2,1] => [5,4,3,6,2,1] => [1,5,2,4,6,3] => 2
[5,7,4,6,1,2,3] => [5,4,6,1,2,3] => [1,5,2,4,3,6] => 2
[5,7,4,6,1,3,2] => [5,4,6,1,3,2] => [1,5,3,6,2,4] => 2
[5,7,4,6,2,1,3] => [5,4,6,2,1,3] => [1,5,2,4,3,6] => 2
[5,7,4,6,2,3,1] => [5,4,6,2,3,1] => [1,5,3,6,2,4] => 2
[5,7,4,6,3,1,2] => [5,4,6,3,1,2] => [1,5,2,4,3,6] => 2
[5,7,4,6,3,2,1] => [5,4,6,3,2,1] => [1,5,2,4,3,6] => 2
[5,7,6,1,2,3,4] => [5,6,1,2,3,4] => [1,5,3,2,6,4] => 2
[5,7,6,1,2,4,3] => [5,6,1,2,4,3] => [1,5,4,2,6,3] => 2
[5,7,6,1,3,2,4] => [5,6,1,3,2,4] => [1,5,2,6,4,3] => 2
[5,7,6,1,3,4,2] => [5,6,1,3,4,2] => [1,5,4,3,2,6] => 1
[5,7,6,1,4,2,3] => [5,6,1,4,2,3] => [1,5,2,6,3,4] => 2
[5,7,6,1,4,3,2] => [5,6,1,4,3,2] => [1,5,3,2,6,4] => 2
[5,7,6,2,1,3,4] => [5,6,2,1,3,4] => [1,5,3,2,6,4] => 2
[5,7,6,2,1,4,3] => [5,6,2,1,4,3] => [1,5,4,2,6,3] => 2
[5,7,6,2,3,1,4] => [5,6,2,3,1,4] => [1,5,2,6,4,3] => 2
[5,7,6,2,3,4,1] => [5,6,2,3,4,1] => [1,5,4,3,2,6] => 1
[5,7,6,2,4,1,3] => [5,6,2,4,1,3] => [1,5,2,6,3,4] => 2
[5,7,6,2,4,3,1] => [5,6,2,4,3,1] => [1,5,3,2,6,4] => 2
[5,7,6,3,1,2,4] => [5,6,3,1,2,4] => [1,5,2,6,4,3] => 2
[5,7,6,3,1,4,2] => [5,6,3,1,4,2] => [1,5,4,2,6,3] => 2
[5,7,6,3,2,1,4] => [5,6,3,2,1,4] => [1,5,2,6,4,3] => 2
[5,7,6,3,2,4,1] => [5,6,3,2,4,1] => [1,5,4,2,6,3] => 2
[5,7,6,3,4,1,2] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => 2
[5,7,6,3,4,2,1] => [5,6,3,4,2,1] => [1,5,2,6,3,4] => 2
[5,7,6,4,1,2,3] => [5,6,4,1,2,3] => [1,5,2,6,3,4] => 2
[5,7,6,4,1,3,2] => [5,6,4,1,3,2] => [1,5,3,4,2,6] => 2
[5,7,6,4,2,1,3] => [5,6,4,2,1,3] => [1,5,2,6,3,4] => 2
[5,7,6,4,2,3,1] => [5,6,4,2,3,1] => [1,5,3,4,2,6] => 2
[5,7,6,4,3,1,2] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => 2
[5,7,6,4,3,2,1] => [5,6,4,3,2,1] => [1,5,2,6,3,4] => 2
[6,1,2,3,4,5,7] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => 1
[6,1,2,3,4,7,5] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => 1
[6,1,2,3,5,4,7] => [6,1,2,3,5,4] => [1,6,4,3,2,5] => 1
[6,1,2,3,5,7,4] => [6,1,2,3,5,4] => [1,6,4,3,2,5] => 1
[6,1,2,3,7,4,5] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => 1
[6,1,2,3,7,5,4] => [6,1,2,3,5,4] => [1,6,4,3,2,5] => 1
[6,1,2,4,3,5,7] => [6,1,2,4,3,5] => [1,6,5,3,2,4] => 1
[6,1,2,4,3,7,5] => [6,1,2,4,3,5] => [1,6,5,3,2,4] => 1
[6,1,2,4,5,3,7] => [6,1,2,4,5,3] => [1,6,3,2,4,5] => 1
[6,1,2,4,5,7,3] => [6,1,2,4,5,3] => [1,6,3,2,4,5] => 1
[6,1,2,4,7,3,5] => [6,1,2,4,3,5] => [1,6,5,3,2,4] => 1
[6,1,2,4,7,5,3] => [6,1,2,4,5,3] => [1,6,3,2,4,5] => 1
[6,1,2,5,3,4,7] => [6,1,2,5,3,4] => [1,6,4,5,3,2] => 2
[6,1,2,5,3,7,4] => [6,1,2,5,3,4] => [1,6,4,5,3,2] => 2
[6,1,2,5,4,3,7] => [6,1,2,5,4,3] => [1,6,3,2,4,5] => 1
[6,1,2,5,4,7,3] => [6,1,2,5,4,3] => [1,6,3,2,4,5] => 1
[6,1,2,5,7,3,4] => [6,1,2,5,3,4] => [1,6,4,5,3,2] => 2
[6,1,2,5,7,4,3] => [6,1,2,5,4,3] => [1,6,3,2,4,5] => 1
[6,1,2,7,3,4,5] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => 1
[6,1,2,7,3,5,4] => [6,1,2,3,5,4] => [1,6,4,3,2,5] => 1
[6,1,2,7,4,3,5] => [6,1,2,4,3,5] => [1,6,5,3,2,4] => 1
[6,1,2,7,4,5,3] => [6,1,2,4,5,3] => [1,6,3,2,4,5] => 1
[6,1,2,7,5,3,4] => [6,1,2,5,3,4] => [1,6,4,5,3,2] => 2
[6,1,2,7,5,4,3] => [6,1,2,5,4,3] => [1,6,3,2,4,5] => 1
[6,1,3,2,4,5,7] => [6,1,3,2,4,5] => [1,6,5,4,2,3] => 1
[6,1,3,2,4,7,5] => [6,1,3,2,4,5] => [1,6,5,4,2,3] => 1
[6,1,3,2,5,4,7] => [6,1,3,2,5,4] => [1,6,4,2,3,5] => 1
[6,1,3,2,5,7,4] => [6,1,3,2,5,4] => [1,6,4,2,3,5] => 1
[6,1,3,2,7,4,5] => [6,1,3,2,4,5] => [1,6,5,4,2,3] => 1
[6,1,3,2,7,5,4] => [6,1,3,2,5,4] => [1,6,4,2,3,5] => 1
[6,1,3,4,2,5,7] => [6,1,3,4,2,5] => [1,6,5,2,3,4] => 1
[6,1,3,4,2,7,5] => [6,1,3,4,2,5] => [1,6,5,2,3,4] => 1
[6,1,3,4,5,2,7] => [6,1,3,4,5,2] => [1,6,2,3,4,5] => 1
[6,1,3,4,5,7,2] => [6,1,3,4,5,2] => [1,6,2,3,4,5] => 1
[6,1,3,4,7,2,5] => [6,1,3,4,2,5] => [1,6,5,2,3,4] => 1
[6,1,3,4,7,5,2] => [6,1,3,4,5,2] => [1,6,2,3,4,5] => 1
[6,1,3,5,2,4,7] => [6,1,3,5,2,4] => [1,6,4,5,2,3] => 2
[6,1,3,5,2,7,4] => [6,1,3,5,2,4] => [1,6,4,5,2,3] => 2
[6,1,3,5,4,2,7] => [6,1,3,5,4,2] => [1,6,2,3,4,5] => 1
[6,1,3,5,4,7,2] => [6,1,3,5,4,2] => [1,6,2,3,4,5] => 1
[6,1,3,5,7,2,4] => [6,1,3,5,2,4] => [1,6,4,5,2,3] => 2
[6,1,3,5,7,4,2] => [6,1,3,5,4,2] => [1,6,2,3,4,5] => 1
[6,1,3,7,2,4,5] => [6,1,3,2,4,5] => [1,6,5,4,2,3] => 1
[6,1,3,7,2,5,4] => [6,1,3,2,5,4] => [1,6,4,2,3,5] => 1
[6,1,3,7,4,2,5] => [6,1,3,4,2,5] => [1,6,5,2,3,4] => 1
[6,1,3,7,4,5,2] => [6,1,3,4,5,2] => [1,6,2,3,4,5] => 1
[6,1,3,7,5,2,4] => [6,1,3,5,2,4] => [1,6,4,5,2,3] => 2
[6,1,3,7,5,4,2] => [6,1,3,5,4,2] => [1,6,2,3,4,5] => 1
[6,1,4,2,3,5,7] => [6,1,4,2,3,5] => [1,6,5,3,4,2] => 2
[6,1,4,2,3,7,5] => [6,1,4,2,3,5] => [1,6,5,3,4,2] => 2
[6,1,4,2,5,3,7] => [6,1,4,2,5,3] => [1,6,3,4,2,5] => 2
[6,1,4,2,5,7,3] => [6,1,4,2,5,3] => [1,6,3,4,2,5] => 2
[6,1,4,2,7,3,5] => [6,1,4,2,3,5] => [1,6,5,3,4,2] => 2
[6,1,4,2,7,5,3] => [6,1,4,2,5,3] => [1,6,3,4,2,5] => 2
[6,1,4,3,2,5,7] => [6,1,4,3,2,5] => [1,6,5,2,3,4] => 1
[6,1,4,3,2,7,5] => [6,1,4,3,2,5] => [1,6,5,2,3,4] => 1
[6,1,4,3,5,2,7] => [6,1,4,3,5,2] => [1,6,2,3,4,5] => 1
[6,1,4,3,5,7,2] => [6,1,4,3,5,2] => [1,6,2,3,4,5] => 1
[6,1,4,3,7,2,5] => [6,1,4,3,2,5] => [1,6,5,2,3,4] => 1
[6,1,4,3,7,5,2] => [6,1,4,3,5,2] => [1,6,2,3,4,5] => 1
[6,1,4,5,2,3,7] => [6,1,4,5,2,3] => [1,6,3,4,5,2] => 2
[6,1,4,5,2,7,3] => [6,1,4,5,2,3] => [1,6,3,4,5,2] => 2
[6,1,4,5,3,2,7] => [6,1,4,5,3,2] => [1,6,2,3,4,5] => 1
[6,1,4,5,3,7,2] => [6,1,4,5,3,2] => [1,6,2,3,4,5] => 1
[6,1,4,5,7,2,3] => [6,1,4,5,2,3] => [1,6,3,4,5,2] => 2
[6,1,4,5,7,3,2] => [6,1,4,5,3,2] => [1,6,2,3,4,5] => 1
[6,1,4,7,2,3,5] => [6,1,4,2,3,5] => [1,6,5,3,4,2] => 2
[6,1,4,7,2,5,3] => [6,1,4,2,5,3] => [1,6,3,4,2,5] => 2
[6,1,4,7,3,2,5] => [6,1,4,3,2,5] => [1,6,5,2,3,4] => 1
[6,1,4,7,3,5,2] => [6,1,4,3,5,2] => [1,6,2,3,4,5] => 1
[6,1,4,7,5,2,3] => [6,1,4,5,2,3] => [1,6,3,4,5,2] => 2
[6,1,4,7,5,3,2] => [6,1,4,5,3,2] => [1,6,2,3,4,5] => 1
[6,1,5,2,3,4,7] => [6,1,5,2,3,4] => [1,6,4,2,3,5] => 1
[6,1,5,2,3,7,4] => [6,1,5,2,3,4] => [1,6,4,2,3,5] => 1
[6,1,5,2,4,3,7] => [6,1,5,2,4,3] => [1,6,3,5,4,2] => 2
[6,1,5,2,4,7,3] => [6,1,5,2,4,3] => [1,6,3,5,4,2] => 2
[6,1,5,2,7,3,4] => [6,1,5,2,3,4] => [1,6,4,2,3,5] => 1
[6,1,5,2,7,4,3] => [6,1,5,2,4,3] => [1,6,3,5,4,2] => 2
[6,1,5,3,2,4,7] => [6,1,5,3,2,4] => [1,6,4,3,5,2] => 2
[6,1,5,3,2,7,4] => [6,1,5,3,2,4] => [1,6,4,3,5,2] => 2
[6,1,5,3,4,2,7] => [6,1,5,3,4,2] => [1,6,2,3,5,4] => 2
[6,1,5,3,4,7,2] => [6,1,5,3,4,2] => [1,6,2,3,5,4] => 2
[6,1,5,3,7,2,4] => [6,1,5,3,2,4] => [1,6,4,3,5,2] => 2
[6,1,5,3,7,4,2] => [6,1,5,3,4,2] => [1,6,2,3,5,4] => 2
[6,1,5,4,2,3,7] => [6,1,5,4,2,3] => [1,6,3,5,2,4] => 2
[6,1,5,4,2,7,3] => [6,1,5,4,2,3] => [1,6,3,5,2,4] => 2
[6,1,5,4,3,2,7] => [6,1,5,4,3,2] => [1,6,2,3,5,4] => 2
[6,1,5,4,3,7,2] => [6,1,5,4,3,2] => [1,6,2,3,5,4] => 2
[6,1,5,4,7,2,3] => [6,1,5,4,2,3] => [1,6,3,5,2,4] => 2
[6,1,5,4,7,3,2] => [6,1,5,4,3,2] => [1,6,2,3,5,4] => 2
[6,1,5,7,2,3,4] => [6,1,5,2,3,4] => [1,6,4,2,3,5] => 1
[6,1,5,7,2,4,3] => [6,1,5,2,4,3] => [1,6,3,5,4,2] => 2
[6,1,5,7,3,2,4] => [6,1,5,3,2,4] => [1,6,4,3,5,2] => 2
[6,1,5,7,3,4,2] => [6,1,5,3,4,2] => [1,6,2,3,5,4] => 2
[6,1,5,7,4,2,3] => [6,1,5,4,2,3] => [1,6,3,5,2,4] => 2
[6,1,5,7,4,3,2] => [6,1,5,4,3,2] => [1,6,2,3,5,4] => 2
[6,1,7,2,3,4,5] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => 1
[6,1,7,2,3,5,4] => [6,1,2,3,5,4] => [1,6,4,3,2,5] => 1
[6,1,7,2,4,3,5] => [6,1,2,4,3,5] => [1,6,5,3,2,4] => 1
[6,1,7,2,4,5,3] => [6,1,2,4,5,3] => [1,6,3,2,4,5] => 1
[6,1,7,2,5,3,4] => [6,1,2,5,3,4] => [1,6,4,5,3,2] => 2
[6,1,7,2,5,4,3] => [6,1,2,5,4,3] => [1,6,3,2,4,5] => 1
[6,1,7,3,2,4,5] => [6,1,3,2,4,5] => [1,6,5,4,2,3] => 1
[6,1,7,3,2,5,4] => [6,1,3,2,5,4] => [1,6,4,2,3,5] => 1
[6,1,7,3,4,2,5] => [6,1,3,4,2,5] => [1,6,5,2,3,4] => 1
[6,1,7,3,4,5,2] => [6,1,3,4,5,2] => [1,6,2,3,4,5] => 1
[6,1,7,3,5,2,4] => [6,1,3,5,2,4] => [1,6,4,5,2,3] => 2
[6,1,7,3,5,4,2] => [6,1,3,5,4,2] => [1,6,2,3,4,5] => 1
[6,1,7,4,2,3,5] => [6,1,4,2,3,5] => [1,6,5,3,4,2] => 2
[6,1,7,4,2,5,3] => [6,1,4,2,5,3] => [1,6,3,4,2,5] => 2
[6,1,7,4,3,2,5] => [6,1,4,3,2,5] => [1,6,5,2,3,4] => 1
[6,1,7,4,3,5,2] => [6,1,4,3,5,2] => [1,6,2,3,4,5] => 1
[6,1,7,4,5,2,3] => [6,1,4,5,2,3] => [1,6,3,4,5,2] => 2
[6,1,7,4,5,3,2] => [6,1,4,5,3,2] => [1,6,2,3,4,5] => 1
[6,1,7,5,2,3,4] => [6,1,5,2,3,4] => [1,6,4,2,3,5] => 1
[6,1,7,5,2,4,3] => [6,1,5,2,4,3] => [1,6,3,5,4,2] => 2
[6,1,7,5,3,2,4] => [6,1,5,3,2,4] => [1,6,4,3,5,2] => 2
[6,1,7,5,3,4,2] => [6,1,5,3,4,2] => [1,6,2,3,5,4] => 2
[6,1,7,5,4,2,3] => [6,1,5,4,2,3] => [1,6,3,5,2,4] => 2
[6,1,7,5,4,3,2] => [6,1,5,4,3,2] => [1,6,2,3,5,4] => 2
[6,2,1,3,4,5,7] => [6,2,1,3,4,5] => [1,6,5,4,3,2] => 1
[6,2,1,3,4,7,5] => [6,2,1,3,4,5] => [1,6,5,4,3,2] => 1
[6,2,1,3,5,4,7] => [6,2,1,3,5,4] => [1,6,4,3,2,5] => 1
[6,2,1,3,5,7,4] => [6,2,1,3,5,4] => [1,6,4,3,2,5] => 1
[6,2,1,3,7,4,5] => [6,2,1,3,4,5] => [1,6,5,4,3,2] => 1
[6,2,1,3,7,5,4] => [6,2,1,3,5,4] => [1,6,4,3,2,5] => 1
[6,2,1,4,3,5,7] => [6,2,1,4,3,5] => [1,6,5,3,2,4] => 1
[6,2,1,4,3,7,5] => [6,2,1,4,3,5] => [1,6,5,3,2,4] => 1
[6,2,1,4,5,3,7] => [6,2,1,4,5,3] => [1,6,3,2,4,5] => 1
[6,2,1,4,5,7,3] => [6,2,1,4,5,3] => [1,6,3,2,4,5] => 1
[6,2,1,4,7,3,5] => [6,2,1,4,3,5] => [1,6,5,3,2,4] => 1
[6,2,1,4,7,5,3] => [6,2,1,4,5,3] => [1,6,3,2,4,5] => 1
[6,2,1,5,3,4,7] => [6,2,1,5,3,4] => [1,6,4,5,3,2] => 2
[6,2,1,5,3,7,4] => [6,2,1,5,3,4] => [1,6,4,5,3,2] => 2
[6,2,1,5,4,3,7] => [6,2,1,5,4,3] => [1,6,3,2,4,5] => 1
[6,2,1,5,4,7,3] => [6,2,1,5,4,3] => [1,6,3,2,4,5] => 1
[6,2,1,5,7,3,4] => [6,2,1,5,3,4] => [1,6,4,5,3,2] => 2
[6,2,1,5,7,4,3] => [6,2,1,5,4,3] => [1,6,3,2,4,5] => 1
[6,2,1,7,3,4,5] => [6,2,1,3,4,5] => [1,6,5,4,3,2] => 1
[6,2,1,7,3,5,4] => [6,2,1,3,5,4] => [1,6,4,3,2,5] => 1
[6,2,1,7,4,3,5] => [6,2,1,4,3,5] => [1,6,5,3,2,4] => 1
[6,2,1,7,4,5,3] => [6,2,1,4,5,3] => [1,6,3,2,4,5] => 1
[6,2,1,7,5,3,4] => [6,2,1,5,3,4] => [1,6,4,5,3,2] => 2
[6,2,1,7,5,4,3] => [6,2,1,5,4,3] => [1,6,3,2,4,5] => 1
[6,2,3,1,4,5,7] => [6,2,3,1,4,5] => [1,6,5,4,2,3] => 1
[6,2,3,1,4,7,5] => [6,2,3,1,4,5] => [1,6,5,4,2,3] => 1
[6,2,3,1,5,4,7] => [6,2,3,1,5,4] => [1,6,4,2,3,5] => 1
[6,2,3,1,5,7,4] => [6,2,3,1,5,4] => [1,6,4,2,3,5] => 1
[6,2,3,1,7,4,5] => [6,2,3,1,4,5] => [1,6,5,4,2,3] => 1
[6,2,3,1,7,5,4] => [6,2,3,1,5,4] => [1,6,4,2,3,5] => 1
[6,2,3,4,1,5,7] => [6,2,3,4,1,5] => [1,6,5,2,3,4] => 1
[6,2,3,4,1,7,5] => [6,2,3,4,1,5] => [1,6,5,2,3,4] => 1
[6,2,3,4,5,1,7] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => 1
[6,2,3,4,5,7,1] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => 1
[6,2,3,4,7,1,5] => [6,2,3,4,1,5] => [1,6,5,2,3,4] => 1
[6,2,3,4,7,5,1] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => 1
[6,2,3,5,1,4,7] => [6,2,3,5,1,4] => [1,6,4,5,2,3] => 2
[6,2,3,5,1,7,4] => [6,2,3,5,1,4] => [1,6,4,5,2,3] => 2
[6,2,3,5,4,1,7] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => 1
[6,2,3,5,4,7,1] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => 1
[6,2,3,5,7,1,4] => [6,2,3,5,1,4] => [1,6,4,5,2,3] => 2
[6,2,3,5,7,4,1] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => 1
[6,2,3,7,1,4,5] => [6,2,3,1,4,5] => [1,6,5,4,2,3] => 1
[6,2,3,7,1,5,4] => [6,2,3,1,5,4] => [1,6,4,2,3,5] => 1
[6,2,3,7,4,1,5] => [6,2,3,4,1,5] => [1,6,5,2,3,4] => 1
[6,2,3,7,4,5,1] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => 1
[6,2,3,7,5,1,4] => [6,2,3,5,1,4] => [1,6,4,5,2,3] => 2
[6,2,3,7,5,4,1] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => 1
[6,2,4,1,3,5,7] => [6,2,4,1,3,5] => [1,6,5,3,4,2] => 2
[6,2,4,1,3,7,5] => [6,2,4,1,3,5] => [1,6,5,3,4,2] => 2
[6,2,4,1,5,3,7] => [6,2,4,1,5,3] => [1,6,3,4,2,5] => 2
[6,2,4,1,5,7,3] => [6,2,4,1,5,3] => [1,6,3,4,2,5] => 2
[6,2,4,1,7,3,5] => [6,2,4,1,3,5] => [1,6,5,3,4,2] => 2
[6,2,4,1,7,5,3] => [6,2,4,1,5,3] => [1,6,3,4,2,5] => 2
[6,2,4,3,1,5,7] => [6,2,4,3,1,5] => [1,6,5,2,3,4] => 1
[6,2,4,3,1,7,5] => [6,2,4,3,1,5] => [1,6,5,2,3,4] => 1
[6,2,4,3,5,1,7] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => 1
[6,2,4,3,5,7,1] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => 1
[6,2,4,3,7,1,5] => [6,2,4,3,1,5] => [1,6,5,2,3,4] => 1
[6,2,4,3,7,5,1] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => 1
[6,2,4,5,1,3,7] => [6,2,4,5,1,3] => [1,6,3,4,5,2] => 2
[6,2,4,5,1,7,3] => [6,2,4,5,1,3] => [1,6,3,4,5,2] => 2
[6,2,4,5,3,1,7] => [6,2,4,5,3,1] => [1,6,2,3,4,5] => 1
[6,2,4,5,3,7,1] => [6,2,4,5,3,1] => [1,6,2,3,4,5] => 1
[6,2,4,5,7,1,3] => [6,2,4,5,1,3] => [1,6,3,4,5,2] => 2
[6,2,4,5,7,3,1] => [6,2,4,5,3,1] => [1,6,2,3,4,5] => 1
[6,2,4,7,1,3,5] => [6,2,4,1,3,5] => [1,6,5,3,4,2] => 2
[6,2,4,7,1,5,3] => [6,2,4,1,5,3] => [1,6,3,4,2,5] => 2
[6,2,4,7,3,1,5] => [6,2,4,3,1,5] => [1,6,5,2,3,4] => 1
[6,2,4,7,3,5,1] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => 1
[6,2,4,7,5,1,3] => [6,2,4,5,1,3] => [1,6,3,4,5,2] => 2
[6,2,4,7,5,3,1] => [6,2,4,5,3,1] => [1,6,2,3,4,5] => 1
[6,2,5,1,3,4,7] => [6,2,5,1,3,4] => [1,6,4,2,3,5] => 1
[6,2,5,1,3,7,4] => [6,2,5,1,3,4] => [1,6,4,2,3,5] => 1
[6,2,5,1,4,3,7] => [6,2,5,1,4,3] => [1,6,3,5,4,2] => 2
[6,2,5,1,4,7,3] => [6,2,5,1,4,3] => [1,6,3,5,4,2] => 2
[6,2,5,1,7,3,4] => [6,2,5,1,3,4] => [1,6,4,2,3,5] => 1
[6,2,5,1,7,4,3] => [6,2,5,1,4,3] => [1,6,3,5,4,2] => 2
[6,2,5,3,1,4,7] => [6,2,5,3,1,4] => [1,6,4,3,5,2] => 2
[6,2,5,3,1,7,4] => [6,2,5,3,1,4] => [1,6,4,3,5,2] => 2
[6,2,5,3,4,1,7] => [6,2,5,3,4,1] => [1,6,2,3,5,4] => 2
[6,2,5,3,4,7,1] => [6,2,5,3,4,1] => [1,6,2,3,5,4] => 2
[6,2,5,3,7,1,4] => [6,2,5,3,1,4] => [1,6,4,3,5,2] => 2
[6,2,5,3,7,4,1] => [6,2,5,3,4,1] => [1,6,2,3,5,4] => 2
[6,2,5,4,1,3,7] => [6,2,5,4,1,3] => [1,6,3,5,2,4] => 2
[6,2,5,4,1,7,3] => [6,2,5,4,1,3] => [1,6,3,5,2,4] => 2
[6,2,5,4,3,1,7] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => 2
[6,2,5,4,3,7,1] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => 2
[6,2,5,4,7,1,3] => [6,2,5,4,1,3] => [1,6,3,5,2,4] => 2
[6,2,5,4,7,3,1] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => 2
[6,2,5,7,1,3,4] => [6,2,5,1,3,4] => [1,6,4,2,3,5] => 1
[6,2,5,7,1,4,3] => [6,2,5,1,4,3] => [1,6,3,5,4,2] => 2
[6,2,5,7,3,1,4] => [6,2,5,3,1,4] => [1,6,4,3,5,2] => 2
[6,2,5,7,3,4,1] => [6,2,5,3,4,1] => [1,6,2,3,5,4] => 2
[6,2,5,7,4,1,3] => [6,2,5,4,1,3] => [1,6,3,5,2,4] => 2
[6,2,5,7,4,3,1] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => 2
[6,2,7,1,3,4,5] => [6,2,1,3,4,5] => [1,6,5,4,3,2] => 1
[6,2,7,1,3,5,4] => [6,2,1,3,5,4] => [1,6,4,3,2,5] => 1
[6,2,7,1,4,3,5] => [6,2,1,4,3,5] => [1,6,5,3,2,4] => 1
[6,2,7,1,4,5,3] => [6,2,1,4,5,3] => [1,6,3,2,4,5] => 1
[6,2,7,1,5,3,4] => [6,2,1,5,3,4] => [1,6,4,5,3,2] => 2
[6,2,7,1,5,4,3] => [6,2,1,5,4,3] => [1,6,3,2,4,5] => 1
[6,2,7,3,1,4,5] => [6,2,3,1,4,5] => [1,6,5,4,2,3] => 1
[6,2,7,3,1,5,4] => [6,2,3,1,5,4] => [1,6,4,2,3,5] => 1
[6,2,7,3,4,1,5] => [6,2,3,4,1,5] => [1,6,5,2,3,4] => 1
[6,2,7,3,4,5,1] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => 1
[6,2,7,3,5,1,4] => [6,2,3,5,1,4] => [1,6,4,5,2,3] => 2
[6,2,7,3,5,4,1] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => 1
[6,2,7,4,1,3,5] => [6,2,4,1,3,5] => [1,6,5,3,4,2] => 2
[6,2,7,4,1,5,3] => [6,2,4,1,5,3] => [1,6,3,4,2,5] => 2
[6,2,7,4,3,1,5] => [6,2,4,3,1,5] => [1,6,5,2,3,4] => 1
[6,2,7,4,3,5,1] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => 1
[6,2,7,4,5,1,3] => [6,2,4,5,1,3] => [1,6,3,4,5,2] => 2
[6,2,7,4,5,3,1] => [6,2,4,5,3,1] => [1,6,2,3,4,5] => 1
[6,2,7,5,1,3,4] => [6,2,5,1,3,4] => [1,6,4,2,3,5] => 1
[6,2,7,5,1,4,3] => [6,2,5,1,4,3] => [1,6,3,5,4,2] => 2
[6,2,7,5,3,1,4] => [6,2,5,3,1,4] => [1,6,4,3,5,2] => 2
[6,2,7,5,3,4,1] => [6,2,5,3,4,1] => [1,6,2,3,5,4] => 2
[6,2,7,5,4,1,3] => [6,2,5,4,1,3] => [1,6,3,5,2,4] => 2
[6,2,7,5,4,3,1] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => 2
[6,3,1,2,4,5,7] => [6,3,1,2,4,5] => [1,6,5,4,2,3] => 1
[6,3,1,2,4,7,5] => [6,3,1,2,4,5] => [1,6,5,4,2,3] => 1
[6,3,1,2,5,4,7] => [6,3,1,2,5,4] => [1,6,4,2,3,5] => 1
[6,3,1,2,5,7,4] => [6,3,1,2,5,4] => [1,6,4,2,3,5] => 1
[6,3,1,2,7,4,5] => [6,3,1,2,4,5] => [1,6,5,4,2,3] => 1
[6,3,1,2,7,5,4] => [6,3,1,2,5,4] => [1,6,4,2,3,5] => 1
[6,3,1,4,2,5,7] => [6,3,1,4,2,5] => [1,6,5,2,3,4] => 1
[6,3,1,4,2,7,5] => [6,3,1,4,2,5] => [1,6,5,2,3,4] => 1
[6,3,1,4,5,2,7] => [6,3,1,4,5,2] => [1,6,2,3,4,5] => 1
[6,3,1,4,5,7,2] => [6,3,1,4,5,2] => [1,6,2,3,4,5] => 1
[6,3,1,4,7,2,5] => [6,3,1,4,2,5] => [1,6,5,2,3,4] => 1
[6,3,1,4,7,5,2] => [6,3,1,4,5,2] => [1,6,2,3,4,5] => 1
[6,3,1,5,2,4,7] => [6,3,1,5,2,4] => [1,6,4,5,2,3] => 2
[6,3,1,5,2,7,4] => [6,3,1,5,2,4] => [1,6,4,5,2,3] => 2
[6,3,1,5,4,2,7] => [6,3,1,5,4,2] => [1,6,2,3,4,5] => 1
[6,3,1,5,4,7,2] => [6,3,1,5,4,2] => [1,6,2,3,4,5] => 1
[6,3,1,5,7,2,4] => [6,3,1,5,2,4] => [1,6,4,5,2,3] => 2
[6,3,1,5,7,4,2] => [6,3,1,5,4,2] => [1,6,2,3,4,5] => 1
[6,3,1,7,2,4,5] => [6,3,1,2,4,5] => [1,6,5,4,2,3] => 1
[6,3,1,7,2,5,4] => [6,3,1,2,5,4] => [1,6,4,2,3,5] => 1
[6,3,1,7,4,2,5] => [6,3,1,4,2,5] => [1,6,5,2,3,4] => 1
[6,3,1,7,4,5,2] => [6,3,1,4,5,2] => [1,6,2,3,4,5] => 1
[6,3,1,7,5,2,4] => [6,3,1,5,2,4] => [1,6,4,5,2,3] => 2
[6,3,1,7,5,4,2] => [6,3,1,5,4,2] => [1,6,2,3,4,5] => 1
[6,3,2,1,4,5,7] => [6,3,2,1,4,5] => [1,6,5,4,2,3] => 1
[6,3,2,1,4,7,5] => [6,3,2,1,4,5] => [1,6,5,4,2,3] => 1
[6,3,2,1,5,4,7] => [6,3,2,1,5,4] => [1,6,4,2,3,5] => 1
[6,3,2,1,5,7,4] => [6,3,2,1,5,4] => [1,6,4,2,3,5] => 1
[6,3,2,1,7,4,5] => [6,3,2,1,4,5] => [1,6,5,4,2,3] => 1
[6,3,2,1,7,5,4] => [6,3,2,1,5,4] => [1,6,4,2,3,5] => 1
[6,3,2,4,1,5,7] => [6,3,2,4,1,5] => [1,6,5,2,3,4] => 1
[6,3,2,4,1,7,5] => [6,3,2,4,1,5] => [1,6,5,2,3,4] => 1
[6,3,2,4,5,1,7] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => 1
[6,3,2,4,5,7,1] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => 1
[6,3,2,4,7,1,5] => [6,3,2,4,1,5] => [1,6,5,2,3,4] => 1
[6,3,2,4,7,5,1] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => 1
[6,3,2,5,1,4,7] => [6,3,2,5,1,4] => [1,6,4,5,2,3] => 2
[6,3,2,5,1,7,4] => [6,3,2,5,1,4] => [1,6,4,5,2,3] => 2
[6,3,2,5,4,1,7] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => 1
[6,3,2,5,4,7,1] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => 1
[6,3,2,5,7,1,4] => [6,3,2,5,1,4] => [1,6,4,5,2,3] => 2
[6,3,2,5,7,4,1] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => 1
[6,3,2,7,1,4,5] => [6,3,2,1,4,5] => [1,6,5,4,2,3] => 1
[6,3,2,7,1,5,4] => [6,3,2,1,5,4] => [1,6,4,2,3,5] => 1
[6,3,2,7,4,1,5] => [6,3,2,4,1,5] => [1,6,5,2,3,4] => 1
[6,3,2,7,4,5,1] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => 1
[6,3,2,7,5,1,4] => [6,3,2,5,1,4] => [1,6,4,5,2,3] => 2
[6,3,2,7,5,4,1] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => 1
[6,3,4,1,2,5,7] => [6,3,4,1,2,5] => [1,6,5,2,3,4] => 1
[6,3,4,1,2,7,5] => [6,3,4,1,2,5] => [1,6,5,2,3,4] => 1
[6,3,4,1,5,2,7] => [6,3,4,1,5,2] => [1,6,2,3,4,5] => 1
[6,3,4,1,5,7,2] => [6,3,4,1,5,2] => [1,6,2,3,4,5] => 1
[6,3,4,1,7,2,5] => [6,3,4,1,2,5] => [1,6,5,2,3,4] => 1
[6,3,4,1,7,5,2] => [6,3,4,1,5,2] => [1,6,2,3,4,5] => 1
[6,3,4,2,1,5,7] => [6,3,4,2,1,5] => [1,6,5,2,3,4] => 1
[6,3,4,2,1,7,5] => [6,3,4,2,1,5] => [1,6,5,2,3,4] => 1
[6,3,4,2,5,1,7] => [6,3,4,2,5,1] => [1,6,2,3,4,5] => 1
[6,3,4,2,5,7,1] => [6,3,4,2,5,1] => [1,6,2,3,4,5] => 1
[6,3,4,2,7,1,5] => [6,3,4,2,1,5] => [1,6,5,2,3,4] => 1
[6,3,4,2,7,5,1] => [6,3,4,2,5,1] => [1,6,2,3,4,5] => 1
[6,3,4,5,1,2,7] => [6,3,4,5,1,2] => [1,6,2,3,4,5] => 1
[6,3,4,5,1,7,2] => [6,3,4,5,1,2] => [1,6,2,3,4,5] => 1
[6,3,4,5,2,1,7] => [6,3,4,5,2,1] => [1,6,2,3,4,5] => 1
[6,3,4,5,2,7,1] => [6,3,4,5,2,1] => [1,6,2,3,4,5] => 1
[6,3,4,5,7,1,2] => [6,3,4,5,1,2] => [1,6,2,3,4,5] => 1
[6,3,4,5,7,2,1] => [6,3,4,5,2,1] => [1,6,2,3,4,5] => 1
[6,3,4,7,1,2,5] => [6,3,4,1,2,5] => [1,6,5,2,3,4] => 1
[6,3,4,7,1,5,2] => [6,3,4,1,5,2] => [1,6,2,3,4,5] => 1
[6,3,4,7,2,1,5] => [6,3,4,2,1,5] => [1,6,5,2,3,4] => 1
[6,3,4,7,2,5,1] => [6,3,4,2,5,1] => [1,6,2,3,4,5] => 1
[6,3,4,7,5,1,2] => [6,3,4,5,1,2] => [1,6,2,3,4,5] => 1
[6,3,4,7,5,2,1] => [6,3,4,5,2,1] => [1,6,2,3,4,5] => 1
[6,3,5,1,2,4,7] => [6,3,5,1,2,4] => [1,6,4,2,3,5] => 1
[6,3,5,1,2,7,4] => [6,3,5,1,2,4] => [1,6,4,2,3,5] => 1
[6,3,5,1,4,2,7] => [6,3,5,1,4,2] => [1,6,2,3,5,4] => 2
[6,3,5,1,4,7,2] => [6,3,5,1,4,2] => [1,6,2,3,5,4] => 2
[6,3,5,1,7,2,4] => [6,3,5,1,2,4] => [1,6,4,2,3,5] => 1
[6,3,5,1,7,4,2] => [6,3,5,1,4,2] => [1,6,2,3,5,4] => 2
[6,3,5,2,1,4,7] => [6,3,5,2,1,4] => [1,6,4,2,3,5] => 1
[6,3,5,2,1,7,4] => [6,3,5,2,1,4] => [1,6,4,2,3,5] => 1
[6,3,5,2,4,1,7] => [6,3,5,2,4,1] => [1,6,2,3,5,4] => 2
[6,3,5,2,4,7,1] => [6,3,5,2,4,1] => [1,6,2,3,5,4] => 2
[6,3,5,2,7,1,4] => [6,3,5,2,1,4] => [1,6,4,2,3,5] => 1
[6,3,5,2,7,4,1] => [6,3,5,2,4,1] => [1,6,2,3,5,4] => 2
[6,3,5,4,1,2,7] => [6,3,5,4,1,2] => [1,6,2,3,5,4] => 2
[6,3,5,4,1,7,2] => [6,3,5,4,1,2] => [1,6,2,3,5,4] => 2
[6,3,5,4,2,1,7] => [6,3,5,4,2,1] => [1,6,2,3,5,4] => 2
[6,3,5,4,2,7,1] => [6,3,5,4,2,1] => [1,6,2,3,5,4] => 2
[6,3,5,4,7,1,2] => [6,3,5,4,1,2] => [1,6,2,3,5,4] => 2
[6,3,5,4,7,2,1] => [6,3,5,4,2,1] => [1,6,2,3,5,4] => 2
[6,3,5,7,1,2,4] => [6,3,5,1,2,4] => [1,6,4,2,3,5] => 1
[6,3,5,7,1,4,2] => [6,3,5,1,4,2] => [1,6,2,3,5,4] => 2
[6,3,5,7,2,1,4] => [6,3,5,2,1,4] => [1,6,4,2,3,5] => 1
[6,3,5,7,2,4,1] => [6,3,5,2,4,1] => [1,6,2,3,5,4] => 2
[6,3,5,7,4,1,2] => [6,3,5,4,1,2] => [1,6,2,3,5,4] => 2
[6,3,5,7,4,2,1] => [6,3,5,4,2,1] => [1,6,2,3,5,4] => 2
[6,3,7,1,2,4,5] => [6,3,1,2,4,5] => [1,6,5,4,2,3] => 1
[6,3,7,1,2,5,4] => [6,3,1,2,5,4] => [1,6,4,2,3,5] => 1
[6,3,7,1,4,2,5] => [6,3,1,4,2,5] => [1,6,5,2,3,4] => 1
[6,3,7,1,4,5,2] => [6,3,1,4,5,2] => [1,6,2,3,4,5] => 1
[6,3,7,1,5,2,4] => [6,3,1,5,2,4] => [1,6,4,5,2,3] => 2
[6,3,7,1,5,4,2] => [6,3,1,5,4,2] => [1,6,2,3,4,5] => 1
[6,3,7,2,1,4,5] => [6,3,2,1,4,5] => [1,6,5,4,2,3] => 1
[6,3,7,2,1,5,4] => [6,3,2,1,5,4] => [1,6,4,2,3,5] => 1
[6,3,7,2,4,1,5] => [6,3,2,4,1,5] => [1,6,5,2,3,4] => 1
[6,3,7,2,4,5,1] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => 1
[6,3,7,2,5,1,4] => [6,3,2,5,1,4] => [1,6,4,5,2,3] => 2
[6,3,7,2,5,4,1] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => 1
[6,3,7,4,1,2,5] => [6,3,4,1,2,5] => [1,6,5,2,3,4] => 1
[6,3,7,4,1,5,2] => [6,3,4,1,5,2] => [1,6,2,3,4,5] => 1
[6,3,7,4,2,1,5] => [6,3,4,2,1,5] => [1,6,5,2,3,4] => 1
[6,3,7,4,2,5,1] => [6,3,4,2,5,1] => [1,6,2,3,4,5] => 1
[6,3,7,4,5,1,2] => [6,3,4,5,1,2] => [1,6,2,3,4,5] => 1
[6,3,7,4,5,2,1] => [6,3,4,5,2,1] => [1,6,2,3,4,5] => 1
[6,3,7,5,1,2,4] => [6,3,5,1,2,4] => [1,6,4,2,3,5] => 1
[6,3,7,5,1,4,2] => [6,3,5,1,4,2] => [1,6,2,3,5,4] => 2
[6,3,7,5,2,1,4] => [6,3,5,2,1,4] => [1,6,4,2,3,5] => 1
[6,3,7,5,2,4,1] => [6,3,5,2,4,1] => [1,6,2,3,5,4] => 2
[6,3,7,5,4,1,2] => [6,3,5,4,1,2] => [1,6,2,3,5,4] => 2
[6,3,7,5,4,2,1] => [6,3,5,4,2,1] => [1,6,2,3,5,4] => 2
[6,4,1,2,3,5,7] => [6,4,1,2,3,5] => [1,6,5,3,2,4] => 1
[6,4,1,2,3,7,5] => [6,4,1,2,3,5] => [1,6,5,3,2,4] => 1
[6,4,1,2,5,3,7] => [6,4,1,2,5,3] => [1,6,3,2,4,5] => 1
[6,4,1,2,5,7,3] => [6,4,1,2,5,3] => [1,6,3,2,4,5] => 1
[6,4,1,2,7,3,5] => [6,4,1,2,3,5] => [1,6,5,3,2,4] => 1
[6,4,1,2,7,5,3] => [6,4,1,2,5,3] => [1,6,3,2,4,5] => 1
[6,4,1,3,2,5,7] => [6,4,1,3,2,5] => [1,6,5,2,4,3] => 2
[6,4,1,3,2,7,5] => [6,4,1,3,2,5] => [1,6,5,2,4,3] => 2
[6,4,1,3,5,2,7] => [6,4,1,3,5,2] => [1,6,2,4,3,5] => 2
[6,4,1,3,5,7,2] => [6,4,1,3,5,2] => [1,6,2,4,3,5] => 2
[6,4,1,3,7,2,5] => [6,4,1,3,2,5] => [1,6,5,2,4,3] => 2
[6,4,1,3,7,5,2] => [6,4,1,3,5,2] => [1,6,2,4,3,5] => 2
[6,4,1,5,2,3,7] => [6,4,1,5,2,3] => [1,6,3,2,4,5] => 1
[6,4,1,5,2,7,3] => [6,4,1,5,2,3] => [1,6,3,2,4,5] => 1
[6,4,1,5,3,2,7] => [6,4,1,5,3,2] => [1,6,2,4,5,3] => 2
[6,4,1,5,3,7,2] => [6,4,1,5,3,2] => [1,6,2,4,5,3] => 2
[6,4,1,5,7,2,3] => [6,4,1,5,2,3] => [1,6,3,2,4,5] => 1
[6,4,1,5,7,3,2] => [6,4,1,5,3,2] => [1,6,2,4,5,3] => 2
[6,4,1,7,2,3,5] => [6,4,1,2,3,5] => [1,6,5,3,2,4] => 1
[6,4,1,7,2,5,3] => [6,4,1,2,5,3] => [1,6,3,2,4,5] => 1
[6,4,1,7,3,2,5] => [6,4,1,3,2,5] => [1,6,5,2,4,3] => 2
[6,4,1,7,3,5,2] => [6,4,1,3,5,2] => [1,6,2,4,3,5] => 2
[6,4,1,7,5,2,3] => [6,4,1,5,2,3] => [1,6,3,2,4,5] => 1
[6,4,1,7,5,3,2] => [6,4,1,5,3,2] => [1,6,2,4,5,3] => 2
[6,4,2,1,3,5,7] => [6,4,2,1,3,5] => [1,6,5,3,2,4] => 1
[6,4,2,1,3,7,5] => [6,4,2,1,3,5] => [1,6,5,3,2,4] => 1
[6,4,2,1,5,3,7] => [6,4,2,1,5,3] => [1,6,3,2,4,5] => 1
[6,4,2,1,5,7,3] => [6,4,2,1,5,3] => [1,6,3,2,4,5] => 1
[6,4,2,1,7,3,5] => [6,4,2,1,3,5] => [1,6,5,3,2,4] => 1
[6,4,2,1,7,5,3] => [6,4,2,1,5,3] => [1,6,3,2,4,5] => 1
[6,4,2,3,1,5,7] => [6,4,2,3,1,5] => [1,6,5,2,4,3] => 2
[6,4,2,3,1,7,5] => [6,4,2,3,1,5] => [1,6,5,2,4,3] => 2
[6,4,2,3,5,1,7] => [6,4,2,3,5,1] => [1,6,2,4,3,5] => 2
[6,4,2,3,5,7,1] => [6,4,2,3,5,1] => [1,6,2,4,3,5] => 2
[6,4,2,3,7,1,5] => [6,4,2,3,1,5] => [1,6,5,2,4,3] => 2
[6,4,2,3,7,5,1] => [6,4,2,3,5,1] => [1,6,2,4,3,5] => 2
[6,4,2,5,1,3,7] => [6,4,2,5,1,3] => [1,6,3,2,4,5] => 1
[6,4,2,5,1,7,3] => [6,4,2,5,1,3] => [1,6,3,2,4,5] => 1
[6,4,2,5,3,1,7] => [6,4,2,5,3,1] => [1,6,2,4,5,3] => 2
[6,4,2,5,3,7,1] => [6,4,2,5,3,1] => [1,6,2,4,5,3] => 2
[6,4,2,5,7,1,3] => [6,4,2,5,1,3] => [1,6,3,2,4,5] => 1
[6,4,2,5,7,3,1] => [6,4,2,5,3,1] => [1,6,2,4,5,3] => 2
[6,4,2,7,1,3,5] => [6,4,2,1,3,5] => [1,6,5,3,2,4] => 1
[6,4,2,7,1,5,3] => [6,4,2,1,5,3] => [1,6,3,2,4,5] => 1
[6,4,2,7,3,1,5] => [6,4,2,3,1,5] => [1,6,5,2,4,3] => 2
[6,4,2,7,3,5,1] => [6,4,2,3,5,1] => [1,6,2,4,3,5] => 2
[6,4,2,7,5,1,3] => [6,4,2,5,1,3] => [1,6,3,2,4,5] => 1
[6,4,2,7,5,3,1] => [6,4,2,5,3,1] => [1,6,2,4,5,3] => 2
[6,4,3,1,2,5,7] => [6,4,3,1,2,5] => [1,6,5,2,4,3] => 2
[6,4,3,1,2,7,5] => [6,4,3,1,2,5] => [1,6,5,2,4,3] => 2
[6,4,3,1,5,2,7] => [6,4,3,1,5,2] => [1,6,2,4,3,5] => 2
[6,4,3,1,5,7,2] => [6,4,3,1,5,2] => [1,6,2,4,3,5] => 2
[6,4,3,1,7,2,5] => [6,4,3,1,2,5] => [1,6,5,2,4,3] => 2
[6,4,3,1,7,5,2] => [6,4,3,1,5,2] => [1,6,2,4,3,5] => 2
[6,4,3,2,1,5,7] => [6,4,3,2,1,5] => [1,6,5,2,4,3] => 2
[6,4,3,2,1,7,5] => [6,4,3,2,1,5] => [1,6,5,2,4,3] => 2
[6,4,3,2,5,1,7] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => 2
[6,4,3,2,5,7,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => 2
[6,4,3,2,7,1,5] => [6,4,3,2,1,5] => [1,6,5,2,4,3] => 2
[6,4,3,2,7,5,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => 2
[6,4,3,5,1,2,7] => [6,4,3,5,1,2] => [1,6,2,4,5,3] => 2
[6,4,3,5,1,7,2] => [6,4,3,5,1,2] => [1,6,2,4,5,3] => 2
[6,4,3,5,2,1,7] => [6,4,3,5,2,1] => [1,6,2,4,5,3] => 2
[6,4,3,5,2,7,1] => [6,4,3,5,2,1] => [1,6,2,4,5,3] => 2
[6,4,3,5,7,1,2] => [6,4,3,5,1,2] => [1,6,2,4,5,3] => 2
[6,4,3,5,7,2,1] => [6,4,3,5,2,1] => [1,6,2,4,5,3] => 2
[6,4,3,7,1,2,5] => [6,4,3,1,2,5] => [1,6,5,2,4,3] => 2
[6,4,3,7,1,5,2] => [6,4,3,1,5,2] => [1,6,2,4,3,5] => 2
[6,4,3,7,2,1,5] => [6,4,3,2,1,5] => [1,6,5,2,4,3] => 2
[6,4,3,7,2,5,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => 2
[6,4,3,7,5,1,2] => [6,4,3,5,1,2] => [1,6,2,4,5,3] => 2
[6,4,3,7,5,2,1] => [6,4,3,5,2,1] => [1,6,2,4,5,3] => 2
[6,4,5,1,2,3,7] => [6,4,5,1,2,3] => [1,6,3,5,2,4] => 2
[6,4,5,1,2,7,3] => [6,4,5,1,2,3] => [1,6,3,5,2,4] => 2
[6,4,5,1,3,2,7] => [6,4,5,1,3,2] => [1,6,2,4,3,5] => 2
[6,4,5,1,3,7,2] => [6,4,5,1,3,2] => [1,6,2,4,3,5] => 2
[6,4,5,1,7,2,3] => [6,4,5,1,2,3] => [1,6,3,5,2,4] => 2
[6,4,5,1,7,3,2] => [6,4,5,1,3,2] => [1,6,2,4,3,5] => 2
[6,4,5,2,1,3,7] => [6,4,5,2,1,3] => [1,6,3,5,2,4] => 2
[6,4,5,2,1,7,3] => [6,4,5,2,1,3] => [1,6,3,5,2,4] => 2
[6,4,5,2,3,1,7] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => 2
[6,4,5,2,3,7,1] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => 2
[6,4,5,2,7,1,3] => [6,4,5,2,1,3] => [1,6,3,5,2,4] => 2
[6,4,5,2,7,3,1] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => 2
[6,4,5,3,1,2,7] => [6,4,5,3,1,2] => [1,6,2,4,3,5] => 2
[6,4,5,3,1,7,2] => [6,4,5,3,1,2] => [1,6,2,4,3,5] => 2
[6,4,5,3,2,1,7] => [6,4,5,3,2,1] => [1,6,2,4,3,5] => 2
[6,4,5,3,2,7,1] => [6,4,5,3,2,1] => [1,6,2,4,3,5] => 2
[6,4,5,3,7,1,2] => [6,4,5,3,1,2] => [1,6,2,4,3,5] => 2
[6,4,5,3,7,2,1] => [6,4,5,3,2,1] => [1,6,2,4,3,5] => 2
[6,4,5,7,1,2,3] => [6,4,5,1,2,3] => [1,6,3,5,2,4] => 2
[6,4,5,7,1,3,2] => [6,4,5,1,3,2] => [1,6,2,4,3,5] => 2
[6,4,5,7,2,1,3] => [6,4,5,2,1,3] => [1,6,3,5,2,4] => 2
[6,4,5,7,2,3,1] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => 2
[6,4,5,7,3,1,2] => [6,4,5,3,1,2] => [1,6,2,4,3,5] => 2
[6,4,5,7,3,2,1] => [6,4,5,3,2,1] => [1,6,2,4,3,5] => 2
[6,4,7,1,2,3,5] => [6,4,1,2,3,5] => [1,6,5,3,2,4] => 1
[6,4,7,1,2,5,3] => [6,4,1,2,5,3] => [1,6,3,2,4,5] => 1
[6,4,7,1,3,2,5] => [6,4,1,3,2,5] => [1,6,5,2,4,3] => 2
[6,4,7,1,3,5,2] => [6,4,1,3,5,2] => [1,6,2,4,3,5] => 2
[6,4,7,1,5,2,3] => [6,4,1,5,2,3] => [1,6,3,2,4,5] => 1
[6,4,7,1,5,3,2] => [6,4,1,5,3,2] => [1,6,2,4,5,3] => 2
[6,4,7,2,1,3,5] => [6,4,2,1,3,5] => [1,6,5,3,2,4] => 1
[6,4,7,2,1,5,3] => [6,4,2,1,5,3] => [1,6,3,2,4,5] => 1
[6,4,7,2,3,1,5] => [6,4,2,3,1,5] => [1,6,5,2,4,3] => 2
[6,4,7,2,3,5,1] => [6,4,2,3,5,1] => [1,6,2,4,3,5] => 2
[6,4,7,2,5,1,3] => [6,4,2,5,1,3] => [1,6,3,2,4,5] => 1
[6,4,7,2,5,3,1] => [6,4,2,5,3,1] => [1,6,2,4,5,3] => 2
[6,4,7,3,1,2,5] => [6,4,3,1,2,5] => [1,6,5,2,4,3] => 2
[6,4,7,3,1,5,2] => [6,4,3,1,5,2] => [1,6,2,4,3,5] => 2
[6,4,7,3,2,1,5] => [6,4,3,2,1,5] => [1,6,5,2,4,3] => 2
[6,4,7,3,2,5,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => 2
[6,4,7,3,5,1,2] => [6,4,3,5,1,2] => [1,6,2,4,5,3] => 2
[6,4,7,3,5,2,1] => [6,4,3,5,2,1] => [1,6,2,4,5,3] => 2
[6,4,7,5,1,2,3] => [6,4,5,1,2,3] => [1,6,3,5,2,4] => 2
[6,4,7,5,1,3,2] => [6,4,5,1,3,2] => [1,6,2,4,3,5] => 2
[6,4,7,5,2,1,3] => [6,4,5,2,1,3] => [1,6,3,5,2,4] => 2
[6,4,7,5,2,3,1] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => 2
[6,4,7,5,3,1,2] => [6,4,5,3,1,2] => [1,6,2,4,3,5] => 2
[6,4,7,5,3,2,1] => [6,4,5,3,2,1] => [1,6,2,4,3,5] => 2
[6,5,1,2,3,4,7] => [6,5,1,2,3,4] => [1,6,4,2,5,3] => 2
[6,5,1,2,3,7,4] => [6,5,1,2,3,4] => [1,6,4,2,5,3] => 2
[6,5,1,2,4,3,7] => [6,5,1,2,4,3] => [1,6,3,2,5,4] => 2
[6,5,1,2,4,7,3] => [6,5,1,2,4,3] => [1,6,3,2,5,4] => 2
[6,5,1,2,7,3,4] => [6,5,1,2,3,4] => [1,6,4,2,5,3] => 2
[6,5,1,2,7,4,3] => [6,5,1,2,4,3] => [1,6,3,2,5,4] => 2
[6,5,1,3,2,4,7] => [6,5,1,3,2,4] => [1,6,4,3,2,5] => 1
[6,5,1,3,2,7,4] => [6,5,1,3,2,4] => [1,6,4,3,2,5] => 1
[6,5,1,3,4,2,7] => [6,5,1,3,4,2] => [1,6,2,5,4,3] => 2
[6,5,1,3,4,7,2] => [6,5,1,3,4,2] => [1,6,2,5,4,3] => 2
[6,5,1,3,7,2,4] => [6,5,1,3,2,4] => [1,6,4,3,2,5] => 1
[6,5,1,3,7,4,2] => [6,5,1,3,4,2] => [1,6,2,5,4,3] => 2
[6,5,1,4,2,3,7] => [6,5,1,4,2,3] => [1,6,3,2,5,4] => 2
[6,5,1,4,2,7,3] => [6,5,1,4,2,3] => [1,6,3,2,5,4] => 2
[6,5,1,4,3,2,7] => [6,5,1,4,3,2] => [1,6,2,5,3,4] => 2
[6,5,1,4,3,7,2] => [6,5,1,4,3,2] => [1,6,2,5,3,4] => 2
[6,5,1,4,7,2,3] => [6,5,1,4,2,3] => [1,6,3,2,5,4] => 2
[6,5,1,4,7,3,2] => [6,5,1,4,3,2] => [1,6,2,5,3,4] => 2
[6,5,1,7,2,3,4] => [6,5,1,2,3,4] => [1,6,4,2,5,3] => 2
[6,5,1,7,2,4,3] => [6,5,1,2,4,3] => [1,6,3,2,5,4] => 2
[6,5,1,7,3,2,4] => [6,5,1,3,2,4] => [1,6,4,3,2,5] => 1
[6,5,1,7,3,4,2] => [6,5,1,3,4,2] => [1,6,2,5,4,3] => 2
[6,5,1,7,4,2,3] => [6,5,1,4,2,3] => [1,6,3,2,5,4] => 2
[6,5,1,7,4,3,2] => [6,5,1,4,3,2] => [1,6,2,5,3,4] => 2
[6,5,2,1,3,4,7] => [6,5,2,1,3,4] => [1,6,4,2,5,3] => 2
[6,5,2,1,3,7,4] => [6,5,2,1,3,4] => [1,6,4,2,5,3] => 2
[6,5,2,1,4,3,7] => [6,5,2,1,4,3] => [1,6,3,2,5,4] => 2
[6,5,2,1,4,7,3] => [6,5,2,1,4,3] => [1,6,3,2,5,4] => 2
[6,5,2,1,7,3,4] => [6,5,2,1,3,4] => [1,6,4,2,5,3] => 2
[6,5,2,1,7,4,3] => [6,5,2,1,4,3] => [1,6,3,2,5,4] => 2
[6,5,2,3,1,4,7] => [6,5,2,3,1,4] => [1,6,4,3,2,5] => 1
[6,5,2,3,1,7,4] => [6,5,2,3,1,4] => [1,6,4,3,2,5] => 1
[6,5,2,3,4,1,7] => [6,5,2,3,4,1] => [1,6,2,5,4,3] => 2
[6,5,2,3,4,7,1] => [6,5,2,3,4,1] => [1,6,2,5,4,3] => 2
[6,5,2,3,7,1,4] => [6,5,2,3,1,4] => [1,6,4,3,2,5] => 1
[6,5,2,3,7,4,1] => [6,5,2,3,4,1] => [1,6,2,5,4,3] => 2
[6,5,2,4,1,3,7] => [6,5,2,4,1,3] => [1,6,3,2,5,4] => 2
[6,5,2,4,1,7,3] => [6,5,2,4,1,3] => [1,6,3,2,5,4] => 2
[6,5,2,4,3,1,7] => [6,5,2,4,3,1] => [1,6,2,5,3,4] => 2
[6,5,2,4,3,7,1] => [6,5,2,4,3,1] => [1,6,2,5,3,4] => 2
[6,5,2,4,7,1,3] => [6,5,2,4,1,3] => [1,6,3,2,5,4] => 2
[6,5,2,4,7,3,1] => [6,5,2,4,3,1] => [1,6,2,5,3,4] => 2
[6,5,2,7,1,3,4] => [6,5,2,1,3,4] => [1,6,4,2,5,3] => 2
[6,5,2,7,1,4,3] => [6,5,2,1,4,3] => [1,6,3,2,5,4] => 2
[6,5,2,7,3,1,4] => [6,5,2,3,1,4] => [1,6,4,3,2,5] => 1
[6,5,2,7,3,4,1] => [6,5,2,3,4,1] => [1,6,2,5,4,3] => 2
[6,5,2,7,4,1,3] => [6,5,2,4,1,3] => [1,6,3,2,5,4] => 2
[6,5,2,7,4,3,1] => [6,5,2,4,3,1] => [1,6,2,5,3,4] => 2
[6,5,3,1,2,4,7] => [6,5,3,1,2,4] => [1,6,4,2,5,3] => 2
[6,5,3,1,2,7,4] => [6,5,3,1,2,4] => [1,6,4,2,5,3] => 2
[6,5,3,1,4,2,7] => [6,5,3,1,4,2] => [1,6,2,5,4,3] => 2
[6,5,3,1,4,7,2] => [6,5,3,1,4,2] => [1,6,2,5,4,3] => 2
[6,5,3,1,7,2,4] => [6,5,3,1,2,4] => [1,6,4,2,5,3] => 2
[6,5,3,1,7,4,2] => [6,5,3,1,4,2] => [1,6,2,5,4,3] => 2
[6,5,3,2,1,4,7] => [6,5,3,2,1,4] => [1,6,4,2,5,3] => 2
[6,5,3,2,1,7,4] => [6,5,3,2,1,4] => [1,6,4,2,5,3] => 2
[6,5,3,2,4,1,7] => [6,5,3,2,4,1] => [1,6,2,5,4,3] => 2
[6,5,3,2,4,7,1] => [6,5,3,2,4,1] => [1,6,2,5,4,3] => 2
[6,5,3,2,7,1,4] => [6,5,3,2,1,4] => [1,6,4,2,5,3] => 2
[6,5,3,2,7,4,1] => [6,5,3,2,4,1] => [1,6,2,5,4,3] => 2
[6,5,3,4,1,2,7] => [6,5,3,4,1,2] => [1,6,2,5,3,4] => 2
[6,5,3,4,1,7,2] => [6,5,3,4,1,2] => [1,6,2,5,3,4] => 2
[6,5,3,4,2,1,7] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => 2
[6,5,3,4,2,7,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => 2
[6,5,3,4,7,1,2] => [6,5,3,4,1,2] => [1,6,2,5,3,4] => 2
[6,5,3,4,7,2,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => 2
[6,5,3,7,1,2,4] => [6,5,3,1,2,4] => [1,6,4,2,5,3] => 2
[6,5,3,7,1,4,2] => [6,5,3,1,4,2] => [1,6,2,5,4,3] => 2
[6,5,3,7,2,1,4] => [6,5,3,2,1,4] => [1,6,4,2,5,3] => 2
[6,5,3,7,2,4,1] => [6,5,3,2,4,1] => [1,6,2,5,4,3] => 2
[6,5,3,7,4,1,2] => [6,5,3,4,1,2] => [1,6,2,5,3,4] => 2
[6,5,3,7,4,2,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => 2
[6,5,4,1,2,3,7] => [6,5,4,1,2,3] => [1,6,3,4,2,5] => 2
[6,5,4,1,2,7,3] => [6,5,4,1,2,3] => [1,6,3,4,2,5] => 2
[6,5,4,1,3,2,7] => [6,5,4,1,3,2] => [1,6,2,5,3,4] => 2
[6,5,4,1,3,7,2] => [6,5,4,1,3,2] => [1,6,2,5,3,4] => 2
[6,5,4,1,7,2,3] => [6,5,4,1,2,3] => [1,6,3,4,2,5] => 2
[6,5,4,1,7,3,2] => [6,5,4,1,3,2] => [1,6,2,5,3,4] => 2
[6,5,4,2,1,3,7] => [6,5,4,2,1,3] => [1,6,3,4,2,5] => 2
[6,5,4,2,1,7,3] => [6,5,4,2,1,3] => [1,6,3,4,2,5] => 2
[6,5,4,2,3,1,7] => [6,5,4,2,3,1] => [1,6,2,5,3,4] => 2
[6,5,4,2,3,7,1] => [6,5,4,2,3,1] => [1,6,2,5,3,4] => 2
[6,5,4,2,7,1,3] => [6,5,4,2,1,3] => [1,6,3,4,2,5] => 2
[6,5,4,2,7,3,1] => [6,5,4,2,3,1] => [1,6,2,5,3,4] => 2
[6,5,4,3,1,2,7] => [6,5,4,3,1,2] => [1,6,2,5,3,4] => 2
[6,5,4,3,1,7,2] => [6,5,4,3,1,2] => [1,6,2,5,3,4] => 2
[6,5,4,3,2,1,7] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => 2
[6,5,4,3,2,7,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => 2
[6,5,4,3,7,1,2] => [6,5,4,3,1,2] => [1,6,2,5,3,4] => 2
[6,5,4,3,7,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => 2
[6,5,4,7,1,2,3] => [6,5,4,1,2,3] => [1,6,3,4,2,5] => 2
[6,5,4,7,1,3,2] => [6,5,4,1,3,2] => [1,6,2,5,3,4] => 2
[6,5,4,7,2,1,3] => [6,5,4,2,1,3] => [1,6,3,4,2,5] => 2
[6,5,4,7,2,3,1] => [6,5,4,2,3,1] => [1,6,2,5,3,4] => 2
[6,5,4,7,3,1,2] => [6,5,4,3,1,2] => [1,6,2,5,3,4] => 2
[6,5,4,7,3,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => 2
[6,5,7,1,2,3,4] => [6,5,1,2,3,4] => [1,6,4,2,5,3] => 2
[6,5,7,1,2,4,3] => [6,5,1,2,4,3] => [1,6,3,2,5,4] => 2
[6,5,7,1,3,2,4] => [6,5,1,3,2,4] => [1,6,4,3,2,5] => 1
[6,5,7,1,3,4,2] => [6,5,1,3,4,2] => [1,6,2,5,4,3] => 2
[6,5,7,1,4,2,3] => [6,5,1,4,2,3] => [1,6,3,2,5,4] => 2
[6,5,7,1,4,3,2] => [6,5,1,4,3,2] => [1,6,2,5,3,4] => 2
[6,5,7,2,1,3,4] => [6,5,2,1,3,4] => [1,6,4,2,5,3] => 2
[6,5,7,2,1,4,3] => [6,5,2,1,4,3] => [1,6,3,2,5,4] => 2
[6,5,7,2,3,1,4] => [6,5,2,3,1,4] => [1,6,4,3,2,5] => 1
[6,5,7,2,3,4,1] => [6,5,2,3,4,1] => [1,6,2,5,4,3] => 2
[6,5,7,2,4,1,3] => [6,5,2,4,1,3] => [1,6,3,2,5,4] => 2
[6,5,7,2,4,3,1] => [6,5,2,4,3,1] => [1,6,2,5,3,4] => 2
[6,5,7,3,1,2,4] => [6,5,3,1,2,4] => [1,6,4,2,5,3] => 2
[6,5,7,3,1,4,2] => [6,5,3,1,4,2] => [1,6,2,5,4,3] => 2
[6,5,7,3,2,1,4] => [6,5,3,2,1,4] => [1,6,4,2,5,3] => 2
[6,5,7,3,2,4,1] => [6,5,3,2,4,1] => [1,6,2,5,4,3] => 2
[6,5,7,3,4,1,2] => [6,5,3,4,1,2] => [1,6,2,5,3,4] => 2
[6,5,7,3,4,2,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => 2
[6,5,7,4,1,2,3] => [6,5,4,1,2,3] => [1,6,3,4,2,5] => 2
[6,5,7,4,1,3,2] => [6,5,4,1,3,2] => [1,6,2,5,3,4] => 2
[6,5,7,4,2,1,3] => [6,5,4,2,1,3] => [1,6,3,4,2,5] => 2
[6,5,7,4,2,3,1] => [6,5,4,2,3,1] => [1,6,2,5,3,4] => 2
[6,5,7,4,3,1,2] => [6,5,4,3,1,2] => [1,6,2,5,3,4] => 2
[6,5,7,4,3,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => 2
[6,7,1,2,3,4,5] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => 1
[6,7,1,2,3,5,4] => [6,1,2,3,5,4] => [1,6,4,3,2,5] => 1
[6,7,1,2,4,3,5] => [6,1,2,4,3,5] => [1,6,5,3,2,4] => 1
[6,7,1,2,4,5,3] => [6,1,2,4,5,3] => [1,6,3,2,4,5] => 1
[6,7,1,2,5,3,4] => [6,1,2,5,3,4] => [1,6,4,5,3,2] => 2
[6,7,1,2,5,4,3] => [6,1,2,5,4,3] => [1,6,3,2,4,5] => 1
[6,7,1,3,2,4,5] => [6,1,3,2,4,5] => [1,6,5,4,2,3] => 1
[6,7,1,3,2,5,4] => [6,1,3,2,5,4] => [1,6,4,2,3,5] => 1
[6,7,1,3,4,2,5] => [6,1,3,4,2,5] => [1,6,5,2,3,4] => 1
[6,7,1,3,4,5,2] => [6,1,3,4,5,2] => [1,6,2,3,4,5] => 1
[6,7,1,3,5,2,4] => [6,1,3,5,2,4] => [1,6,4,5,2,3] => 2
[6,7,1,3,5,4,2] => [6,1,3,5,4,2] => [1,6,2,3,4,5] => 1
[6,7,1,4,2,3,5] => [6,1,4,2,3,5] => [1,6,5,3,4,2] => 2
[6,7,1,4,2,5,3] => [6,1,4,2,5,3] => [1,6,3,4,2,5] => 2
[6,7,1,4,3,2,5] => [6,1,4,3,2,5] => [1,6,5,2,3,4] => 1
[6,7,1,4,3,5,2] => [6,1,4,3,5,2] => [1,6,2,3,4,5] => 1
[6,7,1,4,5,2,3] => [6,1,4,5,2,3] => [1,6,3,4,5,2] => 2
[6,7,1,4,5,3,2] => [6,1,4,5,3,2] => [1,6,2,3,4,5] => 1
[6,7,1,5,2,3,4] => [6,1,5,2,3,4] => [1,6,4,2,3,5] => 1
[6,7,1,5,2,4,3] => [6,1,5,2,4,3] => [1,6,3,5,4,2] => 2
[6,7,1,5,3,2,4] => [6,1,5,3,2,4] => [1,6,4,3,5,2] => 2
[6,7,1,5,3,4,2] => [6,1,5,3,4,2] => [1,6,2,3,5,4] => 2
[6,7,1,5,4,2,3] => [6,1,5,4,2,3] => [1,6,3,5,2,4] => 2
[6,7,1,5,4,3,2] => [6,1,5,4,3,2] => [1,6,2,3,5,4] => 2
[6,7,2,1,3,4,5] => [6,2,1,3,4,5] => [1,6,5,4,3,2] => 1
[6,7,2,1,3,5,4] => [6,2,1,3,5,4] => [1,6,4,3,2,5] => 1
[6,7,2,1,4,3,5] => [6,2,1,4,3,5] => [1,6,5,3,2,4] => 1
[6,7,2,1,4,5,3] => [6,2,1,4,5,3] => [1,6,3,2,4,5] => 1
[6,7,2,1,5,3,4] => [6,2,1,5,3,4] => [1,6,4,5,3,2] => 2
[6,7,2,1,5,4,3] => [6,2,1,5,4,3] => [1,6,3,2,4,5] => 1
[6,7,2,3,1,4,5] => [6,2,3,1,4,5] => [1,6,5,4,2,3] => 1
[6,7,2,3,1,5,4] => [6,2,3,1,5,4] => [1,6,4,2,3,5] => 1
[6,7,2,3,4,1,5] => [6,2,3,4,1,5] => [1,6,5,2,3,4] => 1
[6,7,2,3,4,5,1] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => 1
[6,7,2,3,5,1,4] => [6,2,3,5,1,4] => [1,6,4,5,2,3] => 2
[6,7,2,3,5,4,1] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => 1
[6,7,2,4,1,3,5] => [6,2,4,1,3,5] => [1,6,5,3,4,2] => 2
[6,7,2,4,1,5,3] => [6,2,4,1,5,3] => [1,6,3,4,2,5] => 2
[6,7,2,4,3,1,5] => [6,2,4,3,1,5] => [1,6,5,2,3,4] => 1
[6,7,2,4,3,5,1] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => 1
[6,7,2,4,5,1,3] => [6,2,4,5,1,3] => [1,6,3,4,5,2] => 2
[6,7,2,4,5,3,1] => [6,2,4,5,3,1] => [1,6,2,3,4,5] => 1
[6,7,2,5,1,3,4] => [6,2,5,1,3,4] => [1,6,4,2,3,5] => 1
[6,7,2,5,1,4,3] => [6,2,5,1,4,3] => [1,6,3,5,4,2] => 2
[6,7,2,5,3,1,4] => [6,2,5,3,1,4] => [1,6,4,3,5,2] => 2
[6,7,2,5,3,4,1] => [6,2,5,3,4,1] => [1,6,2,3,5,4] => 2
[6,7,2,5,4,1,3] => [6,2,5,4,1,3] => [1,6,3,5,2,4] => 2
[6,7,2,5,4,3,1] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => 2
[6,7,3,1,2,4,5] => [6,3,1,2,4,5] => [1,6,5,4,2,3] => 1
[6,7,3,1,2,5,4] => [6,3,1,2,5,4] => [1,6,4,2,3,5] => 1
[6,7,3,1,4,2,5] => [6,3,1,4,2,5] => [1,6,5,2,3,4] => 1
[6,7,3,1,4,5,2] => [6,3,1,4,5,2] => [1,6,2,3,4,5] => 1
[6,7,3,1,5,2,4] => [6,3,1,5,2,4] => [1,6,4,5,2,3] => 2
[6,7,3,1,5,4,2] => [6,3,1,5,4,2] => [1,6,2,3,4,5] => 1
[6,7,3,2,1,4,5] => [6,3,2,1,4,5] => [1,6,5,4,2,3] => 1
[6,7,3,2,1,5,4] => [6,3,2,1,5,4] => [1,6,4,2,3,5] => 1
[6,7,3,2,4,1,5] => [6,3,2,4,1,5] => [1,6,5,2,3,4] => 1
[6,7,3,2,4,5,1] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => 1
[6,7,3,2,5,1,4] => [6,3,2,5,1,4] => [1,6,4,5,2,3] => 2
[6,7,3,2,5,4,1] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => 1
[6,7,3,4,1,2,5] => [6,3,4,1,2,5] => [1,6,5,2,3,4] => 1
[6,7,3,4,1,5,2] => [6,3,4,1,5,2] => [1,6,2,3,4,5] => 1
[6,7,3,4,2,1,5] => [6,3,4,2,1,5] => [1,6,5,2,3,4] => 1
[6,7,3,4,2,5,1] => [6,3,4,2,5,1] => [1,6,2,3,4,5] => 1
[6,7,3,4,5,1,2] => [6,3,4,5,1,2] => [1,6,2,3,4,5] => 1
[6,7,3,4,5,2,1] => [6,3,4,5,2,1] => [1,6,2,3,4,5] => 1
[6,7,3,5,1,2,4] => [6,3,5,1,2,4] => [1,6,4,2,3,5] => 1
[6,7,3,5,1,4,2] => [6,3,5,1,4,2] => [1,6,2,3,5,4] => 2
[6,7,3,5,2,1,4] => [6,3,5,2,1,4] => [1,6,4,2,3,5] => 1
[6,7,3,5,2,4,1] => [6,3,5,2,4,1] => [1,6,2,3,5,4] => 2
[6,7,3,5,4,1,2] => [6,3,5,4,1,2] => [1,6,2,3,5,4] => 2
[6,7,3,5,4,2,1] => [6,3,5,4,2,1] => [1,6,2,3,5,4] => 2
[6,7,4,1,2,3,5] => [6,4,1,2,3,5] => [1,6,5,3,2,4] => 1
[6,7,4,1,2,5,3] => [6,4,1,2,5,3] => [1,6,3,2,4,5] => 1
[6,7,4,1,3,2,5] => [6,4,1,3,2,5] => [1,6,5,2,4,3] => 2
[6,7,4,1,3,5,2] => [6,4,1,3,5,2] => [1,6,2,4,3,5] => 2
[6,7,4,1,5,2,3] => [6,4,1,5,2,3] => [1,6,3,2,4,5] => 1
[6,7,4,1,5,3,2] => [6,4,1,5,3,2] => [1,6,2,4,5,3] => 2
[6,7,4,2,1,3,5] => [6,4,2,1,3,5] => [1,6,5,3,2,4] => 1
[6,7,4,2,1,5,3] => [6,4,2,1,5,3] => [1,6,3,2,4,5] => 1
[6,7,4,2,3,1,5] => [6,4,2,3,1,5] => [1,6,5,2,4,3] => 2
[6,7,4,2,3,5,1] => [6,4,2,3,5,1] => [1,6,2,4,3,5] => 2
[6,7,4,2,5,1,3] => [6,4,2,5,1,3] => [1,6,3,2,4,5] => 1
[6,7,4,2,5,3,1] => [6,4,2,5,3,1] => [1,6,2,4,5,3] => 2
[6,7,4,3,1,2,5] => [6,4,3,1,2,5] => [1,6,5,2,4,3] => 2
[6,7,4,3,1,5,2] => [6,4,3,1,5,2] => [1,6,2,4,3,5] => 2
[6,7,4,3,2,1,5] => [6,4,3,2,1,5] => [1,6,5,2,4,3] => 2
[6,7,4,3,2,5,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => 2
[6,7,4,3,5,1,2] => [6,4,3,5,1,2] => [1,6,2,4,5,3] => 2
[6,7,4,3,5,2,1] => [6,4,3,5,2,1] => [1,6,2,4,5,3] => 2
[6,7,4,5,1,2,3] => [6,4,5,1,2,3] => [1,6,3,5,2,4] => 2
[6,7,4,5,1,3,2] => [6,4,5,1,3,2] => [1,6,2,4,3,5] => 2
[6,7,4,5,2,1,3] => [6,4,5,2,1,3] => [1,6,3,5,2,4] => 2
[6,7,4,5,2,3,1] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => 2
[6,7,4,5,3,1,2] => [6,4,5,3,1,2] => [1,6,2,4,3,5] => 2
[6,7,4,5,3,2,1] => [6,4,5,3,2,1] => [1,6,2,4,3,5] => 2
[6,7,5,1,2,3,4] => [6,5,1,2,3,4] => [1,6,4,2,5,3] => 2
[6,7,5,1,2,4,3] => [6,5,1,2,4,3] => [1,6,3,2,5,4] => 2
[6,7,5,1,3,2,4] => [6,5,1,3,2,4] => [1,6,4,3,2,5] => 1
[6,7,5,1,3,4,2] => [6,5,1,3,4,2] => [1,6,2,5,4,3] => 2
[6,7,5,1,4,2,3] => [6,5,1,4,2,3] => [1,6,3,2,5,4] => 2
[6,7,5,1,4,3,2] => [6,5,1,4,3,2] => [1,6,2,5,3,4] => 2
[6,7,5,2,1,3,4] => [6,5,2,1,3,4] => [1,6,4,2,5,3] => 2
[6,7,5,2,1,4,3] => [6,5,2,1,4,3] => [1,6,3,2,5,4] => 2
[6,7,5,2,3,1,4] => [6,5,2,3,1,4] => [1,6,4,3,2,5] => 1
[6,7,5,2,3,4,1] => [6,5,2,3,4,1] => [1,6,2,5,4,3] => 2
[6,7,5,2,4,1,3] => [6,5,2,4,1,3] => [1,6,3,2,5,4] => 2
[6,7,5,2,4,3,1] => [6,5,2,4,3,1] => [1,6,2,5,3,4] => 2
[6,7,5,3,1,2,4] => [6,5,3,1,2,4] => [1,6,4,2,5,3] => 2
[6,7,5,3,1,4,2] => [6,5,3,1,4,2] => [1,6,2,5,4,3] => 2
[6,7,5,3,2,1,4] => [6,5,3,2,1,4] => [1,6,4,2,5,3] => 2
[6,7,5,3,2,4,1] => [6,5,3,2,4,1] => [1,6,2,5,4,3] => 2
[6,7,5,3,4,1,2] => [6,5,3,4,1,2] => [1,6,2,5,3,4] => 2
[6,7,5,3,4,2,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => 2
[6,7,5,4,1,2,3] => [6,5,4,1,2,3] => [1,6,3,4,2,5] => 2
[6,7,5,4,1,3,2] => [6,5,4,1,3,2] => [1,6,2,5,3,4] => 2
[6,7,5,4,2,1,3] => [6,5,4,2,1,3] => [1,6,3,4,2,5] => 2
[6,7,5,4,2,3,1] => [6,5,4,2,3,1] => [1,6,2,5,3,4] => 2
[6,7,5,4,3,1,2] => [6,5,4,3,1,2] => [1,6,2,5,3,4] => 2
[6,7,5,4,3,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => 2
[7,1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[7,1,2,3,4,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[7,1,2,3,5,4,6] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[7,1,2,3,5,6,4] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => 0
[7,1,2,3,6,4,5] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[7,1,2,3,6,5,4] => [1,2,3,6,5,4] => [1,2,3,4,6,5] => 1
[7,1,2,4,3,5,6] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[7,1,2,4,3,6,5] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 0
[7,1,2,4,5,3,6] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => 0
[7,1,2,4,5,6,3] => [1,2,4,5,6,3] => [1,2,3,4,5,6] => 0
[7,1,2,4,6,3,5] => [1,2,4,6,3,5] => [1,2,3,4,6,5] => 1
[7,1,2,4,6,5,3] => [1,2,4,6,5,3] => [1,2,3,4,6,5] => 1
[7,1,2,5,3,4,6] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[7,1,2,5,3,6,4] => [1,2,5,3,6,4] => [1,2,3,5,6,4] => 1
[7,1,2,5,4,3,6] => [1,2,5,4,3,6] => [1,2,3,5,4,6] => 1
[7,1,2,5,4,6,3] => [1,2,5,4,6,3] => [1,2,3,5,6,4] => 1
[7,1,2,5,6,3,4] => [1,2,5,6,3,4] => [1,2,3,5,4,6] => 1
[7,1,2,5,6,4,3] => [1,2,5,6,4,3] => [1,2,3,5,4,6] => 1
[7,1,2,6,3,4,5] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 1
[7,1,2,6,3,5,4] => [1,2,6,3,5,4] => [1,2,3,6,4,5] => 1
[7,1,2,6,4,3,5] => [1,2,6,4,3,5] => [1,2,3,6,5,4] => 1
[7,1,2,6,4,5,3] => [1,2,6,4,5,3] => [1,2,3,6,4,5] => 1
[7,1,2,6,5,3,4] => [1,2,6,5,3,4] => [1,2,3,6,4,5] => 1
[7,1,2,6,5,4,3] => [1,2,6,5,4,3] => [1,2,3,6,4,5] => 1
[7,1,3,2,4,5,6] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[7,1,3,2,4,6,5] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[7,1,3,2,5,4,6] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => 0
[7,1,3,2,5,6,4] => [1,3,2,5,6,4] => [1,2,3,4,5,6] => 0
[7,1,3,2,6,4,5] => [1,3,2,6,4,5] => [1,2,3,4,6,5] => 1
[7,1,3,2,6,5,4] => [1,3,2,6,5,4] => [1,2,3,4,6,5] => 1
[7,1,3,4,2,5,6] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => 0
[7,1,3,4,2,6,5] => [1,3,4,2,6,5] => [1,2,3,4,5,6] => 0
[7,1,3,4,5,2,6] => [1,3,4,5,2,6] => [1,2,3,4,5,6] => 0
[7,1,3,4,5,6,2] => [1,3,4,5,6,2] => [1,2,3,4,5,6] => 0
[7,1,3,4,6,2,5] => [1,3,4,6,2,5] => [1,2,3,4,6,5] => 1
[7,1,3,4,6,5,2] => [1,3,4,6,5,2] => [1,2,3,4,6,5] => 1
[7,1,3,5,2,4,6] => [1,3,5,2,4,6] => [1,2,3,5,4,6] => 1
[7,1,3,5,2,6,4] => [1,3,5,2,6,4] => [1,2,3,5,6,4] => 1
[7,1,3,5,4,2,6] => [1,3,5,4,2,6] => [1,2,3,5,4,6] => 1
[7,1,3,5,4,6,2] => [1,3,5,4,6,2] => [1,2,3,5,6,4] => 1
[7,1,3,5,6,2,4] => [1,3,5,6,2,4] => [1,2,3,5,4,6] => 1
[7,1,3,5,6,4,2] => [1,3,5,6,4,2] => [1,2,3,5,4,6] => 1
[7,1,3,6,2,4,5] => [1,3,6,2,4,5] => [1,2,3,6,5,4] => 1
[7,1,3,6,2,5,4] => [1,3,6,2,5,4] => [1,2,3,6,4,5] => 1
[7,1,3,6,4,2,5] => [1,3,6,4,2,5] => [1,2,3,6,5,4] => 1
[7,1,3,6,4,5,2] => [1,3,6,4,5,2] => [1,2,3,6,4,5] => 1
[7,1,3,6,5,2,4] => [1,3,6,5,2,4] => [1,2,3,6,4,5] => 1
[7,1,3,6,5,4,2] => [1,3,6,5,4,2] => [1,2,3,6,4,5] => 1
[7,1,4,2,3,5,6] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[7,1,4,2,3,6,5] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[7,1,4,2,5,3,6] => [1,4,2,5,3,6] => [1,2,4,5,3,6] => 1
[7,1,4,2,5,6,3] => [1,4,2,5,6,3] => [1,2,4,5,6,3] => 1
[7,1,4,2,6,3,5] => [1,4,2,6,3,5] => [1,2,4,6,5,3] => 1
[7,1,4,2,6,5,3] => [1,4,2,6,5,3] => [1,2,4,6,3,5] => 1
[7,1,4,3,2,5,6] => [1,4,3,2,5,6] => [1,2,4,3,5,6] => 1
[7,1,4,3,2,6,5] => [1,4,3,2,6,5] => [1,2,4,3,5,6] => 1
[7,1,4,3,5,2,6] => [1,4,3,5,2,6] => [1,2,4,5,3,6] => 1
[7,1,4,3,5,6,2] => [1,4,3,5,6,2] => [1,2,4,5,6,3] => 1
[7,1,4,3,6,2,5] => [1,4,3,6,2,5] => [1,2,4,6,5,3] => 1
[7,1,4,3,6,5,2] => [1,4,3,6,5,2] => [1,2,4,6,3,5] => 1
[7,1,4,5,2,3,6] => [1,4,5,2,3,6] => [1,2,4,3,5,6] => 1
[7,1,4,5,2,6,3] => [1,4,5,2,6,3] => [1,2,4,3,5,6] => 1
[7,1,4,5,3,2,6] => [1,4,5,3,2,6] => [1,2,4,3,5,6] => 1
[7,1,4,5,3,6,2] => [1,4,5,3,6,2] => [1,2,4,3,5,6] => 1
[7,1,4,5,6,2,3] => [1,4,5,6,2,3] => [1,2,4,6,3,5] => 1
[7,1,4,5,6,3,2] => [1,4,5,6,3,2] => [1,2,4,6,3,5] => 1
[7,1,4,6,2,3,5] => [1,4,6,2,3,5] => [1,2,4,3,6,5] => 2
[7,1,4,6,2,5,3] => [1,4,6,2,5,3] => [1,2,4,3,6,5] => 2
[7,1,4,6,3,2,5] => [1,4,6,3,2,5] => [1,2,4,3,6,5] => 2
[7,1,4,6,3,5,2] => [1,4,6,3,5,2] => [1,2,4,3,6,5] => 2
[7,1,4,6,5,2,3] => [1,4,6,5,2,3] => [1,2,4,5,3,6] => 1
[7,1,4,6,5,3,2] => [1,4,6,5,3,2] => [1,2,4,5,3,6] => 1
[7,1,5,2,3,4,6] => [1,5,2,3,4,6] => [1,2,5,4,3,6] => 1
[7,1,5,2,3,6,4] => [1,5,2,3,6,4] => [1,2,5,6,4,3] => 1
[7,1,5,2,4,3,6] => [1,5,2,4,3,6] => [1,2,5,3,4,6] => 1
[7,1,5,2,4,6,3] => [1,5,2,4,6,3] => [1,2,5,6,3,4] => 1
[7,1,5,2,6,3,4] => [1,5,2,6,3,4] => [1,2,5,3,4,6] => 1
[7,1,5,2,6,4,3] => [1,5,2,6,4,3] => [1,2,5,4,6,3] => 2
[7,1,5,3,2,4,6] => [1,5,3,2,4,6] => [1,2,5,4,3,6] => 1
[7,1,5,3,2,6,4] => [1,5,3,2,6,4] => [1,2,5,6,4,3] => 1
[7,1,5,3,4,2,6] => [1,5,3,4,2,6] => [1,2,5,3,4,6] => 1
[7,1,5,3,4,6,2] => [1,5,3,4,6,2] => [1,2,5,6,3,4] => 1
[7,1,5,3,6,2,4] => [1,5,3,6,2,4] => [1,2,5,3,4,6] => 1
[7,1,5,3,6,4,2] => [1,5,3,6,4,2] => [1,2,5,4,6,3] => 2
[7,1,5,4,2,3,6] => [1,5,4,2,3,6] => [1,2,5,3,4,6] => 1
[7,1,5,4,2,6,3] => [1,5,4,2,6,3] => [1,2,5,6,3,4] => 1
[7,1,5,4,3,2,6] => [1,5,4,3,2,6] => [1,2,5,3,4,6] => 1
[7,1,5,4,3,6,2] => [1,5,4,3,6,2] => [1,2,5,6,3,4] => 1
[7,1,5,4,6,2,3] => [1,5,4,6,2,3] => [1,2,5,3,4,6] => 1
[7,1,5,4,6,3,2] => [1,5,4,6,3,2] => [1,2,5,3,4,6] => 1
[7,1,5,6,2,3,4] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => 2
[7,1,5,6,2,4,3] => [1,5,6,2,4,3] => [1,2,5,4,3,6] => 1
[7,1,5,6,3,2,4] => [1,5,6,3,2,4] => [1,2,5,3,6,4] => 2
[7,1,5,6,3,4,2] => [1,5,6,3,4,2] => [1,2,5,4,3,6] => 1
[7,1,5,6,4,2,3] => [1,5,6,4,2,3] => [1,2,5,3,6,4] => 2
[7,1,5,6,4,3,2] => [1,5,6,4,3,2] => [1,2,5,3,6,4] => 2
[7,1,6,2,3,4,5] => [1,6,2,3,4,5] => [1,2,6,5,4,3] => 1
[7,1,6,2,3,5,4] => [1,6,2,3,5,4] => [1,2,6,4,3,5] => 1
[7,1,6,2,4,3,5] => [1,6,2,4,3,5] => [1,2,6,5,3,4] => 1
[7,1,6,2,4,5,3] => [1,6,2,4,5,3] => [1,2,6,3,4,5] => 1
[7,1,6,2,5,3,4] => [1,6,2,5,3,4] => [1,2,6,4,5,3] => 2
[7,1,6,2,5,4,3] => [1,6,2,5,4,3] => [1,2,6,3,4,5] => 1
[7,1,6,3,2,4,5] => [1,6,3,2,4,5] => [1,2,6,5,4,3] => 1
[7,1,6,3,2,5,4] => [1,6,3,2,5,4] => [1,2,6,4,3,5] => 1
[7,1,6,3,4,2,5] => [1,6,3,4,2,5] => [1,2,6,5,3,4] => 1
[7,1,6,3,4,5,2] => [1,6,3,4,5,2] => [1,2,6,3,4,5] => 1
[7,1,6,3,5,2,4] => [1,6,3,5,2,4] => [1,2,6,4,5,3] => 2
[7,1,6,3,5,4,2] => [1,6,3,5,4,2] => [1,2,6,3,4,5] => 1
[7,1,6,4,2,3,5] => [1,6,4,2,3,5] => [1,2,6,5,3,4] => 1
[7,1,6,4,2,5,3] => [1,6,4,2,5,3] => [1,2,6,3,4,5] => 1
[7,1,6,4,3,2,5] => [1,6,4,3,2,5] => [1,2,6,5,3,4] => 1
[7,1,6,4,3,5,2] => [1,6,4,3,5,2] => [1,2,6,3,4,5] => 1
[7,1,6,4,5,2,3] => [1,6,4,5,2,3] => [1,2,6,3,4,5] => 1
[7,1,6,4,5,3,2] => [1,6,4,5,3,2] => [1,2,6,3,4,5] => 1
[7,1,6,5,2,3,4] => [1,6,5,2,3,4] => [1,2,6,4,3,5] => 1
[7,1,6,5,2,4,3] => [1,6,5,2,4,3] => [1,2,6,3,5,4] => 2
[7,1,6,5,3,2,4] => [1,6,5,3,2,4] => [1,2,6,4,3,5] => 1
[7,1,6,5,3,4,2] => [1,6,5,3,4,2] => [1,2,6,3,5,4] => 2
[7,1,6,5,4,2,3] => [1,6,5,4,2,3] => [1,2,6,3,5,4] => 2
[7,1,6,5,4,3,2] => [1,6,5,4,3,2] => [1,2,6,3,5,4] => 2
[7,2,1,3,4,5,6] => [2,1,3,4,5,6] => [1,2,3,4,5,6] => 0
[7,2,1,3,4,6,5] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => 0
[7,2,1,3,5,4,6] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => 0
[7,2,1,3,5,6,4] => [2,1,3,5,6,4] => [1,2,3,4,5,6] => 0
[7,2,1,3,6,4,5] => [2,1,3,6,4,5] => [1,2,3,4,6,5] => 1
[7,2,1,3,6,5,4] => [2,1,3,6,5,4] => [1,2,3,4,6,5] => 1
[7,2,1,4,3,5,6] => [2,1,4,3,5,6] => [1,2,3,4,5,6] => 0
[7,2,1,4,3,6,5] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => 0
[7,2,1,4,5,3,6] => [2,1,4,5,3,6] => [1,2,3,4,5,6] => 0
[7,2,1,4,5,6,3] => [2,1,4,5,6,3] => [1,2,3,4,5,6] => 0
[7,2,1,4,6,3,5] => [2,1,4,6,3,5] => [1,2,3,4,6,5] => 1
[7,2,1,4,6,5,3] => [2,1,4,6,5,3] => [1,2,3,4,6,5] => 1
[7,2,1,5,3,4,6] => [2,1,5,3,4,6] => [1,2,3,5,4,6] => 1
[7,2,1,5,3,6,4] => [2,1,5,3,6,4] => [1,2,3,5,6,4] => 1
[7,2,1,5,4,3,6] => [2,1,5,4,3,6] => [1,2,3,5,4,6] => 1
[7,2,1,5,4,6,3] => [2,1,5,4,6,3] => [1,2,3,5,6,4] => 1
[7,2,1,5,6,3,4] => [2,1,5,6,3,4] => [1,2,3,5,4,6] => 1
[7,2,1,5,6,4,3] => [2,1,5,6,4,3] => [1,2,3,5,4,6] => 1
[7,2,1,6,3,4,5] => [2,1,6,3,4,5] => [1,2,3,6,5,4] => 1
[7,2,1,6,3,5,4] => [2,1,6,3,5,4] => [1,2,3,6,4,5] => 1
[7,2,1,6,4,3,5] => [2,1,6,4,3,5] => [1,2,3,6,5,4] => 1
[7,2,1,6,4,5,3] => [2,1,6,4,5,3] => [1,2,3,6,4,5] => 1
[7,2,1,6,5,3,4] => [2,1,6,5,3,4] => [1,2,3,6,4,5] => 1
[7,2,1,6,5,4,3] => [2,1,6,5,4,3] => [1,2,3,6,4,5] => 1
[7,2,3,1,4,5,6] => [2,3,1,4,5,6] => [1,2,3,4,5,6] => 0
[7,2,3,1,4,6,5] => [2,3,1,4,6,5] => [1,2,3,4,5,6] => 0
[7,2,3,1,5,4,6] => [2,3,1,5,4,6] => [1,2,3,4,5,6] => 0
[7,2,3,1,5,6,4] => [2,3,1,5,6,4] => [1,2,3,4,5,6] => 0
[7,2,3,1,6,4,5] => [2,3,1,6,4,5] => [1,2,3,4,6,5] => 1
[7,2,3,1,6,5,4] => [2,3,1,6,5,4] => [1,2,3,4,6,5] => 1
[7,2,3,4,1,5,6] => [2,3,4,1,5,6] => [1,2,3,4,5,6] => 0
[7,2,3,4,1,6,5] => [2,3,4,1,6,5] => [1,2,3,4,5,6] => 0
[7,2,3,4,5,1,6] => [2,3,4,5,1,6] => [1,2,3,4,5,6] => 0
[7,2,3,4,5,6,1] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 0
[7,2,3,4,6,1,5] => [2,3,4,6,1,5] => [1,2,3,4,6,5] => 1
[7,2,3,4,6,5,1] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 1
[7,2,3,5,1,4,6] => [2,3,5,1,4,6] => [1,2,3,5,4,6] => 1
[7,2,3,5,1,6,4] => [2,3,5,1,6,4] => [1,2,3,5,6,4] => 1
[7,2,3,5,4,1,6] => [2,3,5,4,1,6] => [1,2,3,5,4,6] => 1
[7,2,3,5,4,6,1] => [2,3,5,4,6,1] => [1,2,3,5,6,4] => 1
[7,2,3,5,6,1,4] => [2,3,5,6,1,4] => [1,2,3,5,4,6] => 1
[7,2,3,5,6,4,1] => [2,3,5,6,4,1] => [1,2,3,5,4,6] => 1
[7,2,3,6,1,4,5] => [2,3,6,1,4,5] => [1,2,3,6,5,4] => 1
[7,2,3,6,1,5,4] => [2,3,6,1,5,4] => [1,2,3,6,4,5] => 1
[7,2,3,6,4,1,5] => [2,3,6,4,1,5] => [1,2,3,6,5,4] => 1
[7,2,3,6,4,5,1] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 1
[7,2,3,6,5,1,4] => [2,3,6,5,1,4] => [1,2,3,6,4,5] => 1
[7,2,3,6,5,4,1] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 1
[7,2,4,1,3,5,6] => [2,4,1,3,5,6] => [1,2,4,3,5,6] => 1
[7,2,4,1,3,6,5] => [2,4,1,3,6,5] => [1,2,4,3,5,6] => 1
[7,2,4,1,5,3,6] => [2,4,1,5,3,6] => [1,2,4,5,3,6] => 1
[7,2,4,1,5,6,3] => [2,4,1,5,6,3] => [1,2,4,5,6,3] => 1
[7,2,4,1,6,3,5] => [2,4,1,6,3,5] => [1,2,4,6,5,3] => 1
[7,2,4,1,6,5,3] => [2,4,1,6,5,3] => [1,2,4,6,3,5] => 1
[7,2,4,3,1,5,6] => [2,4,3,1,5,6] => [1,2,4,3,5,6] => 1
[7,2,4,3,1,6,5] => [2,4,3,1,6,5] => [1,2,4,3,5,6] => 1
[7,2,4,3,5,1,6] => [2,4,3,5,1,6] => [1,2,4,5,3,6] => 1
[7,2,4,3,5,6,1] => [2,4,3,5,6,1] => [1,2,4,5,6,3] => 1
[7,2,4,3,6,1,5] => [2,4,3,6,1,5] => [1,2,4,6,5,3] => 1
[7,2,4,3,6,5,1] => [2,4,3,6,5,1] => [1,2,4,6,3,5] => 1
[7,2,4,5,1,3,6] => [2,4,5,1,3,6] => [1,2,4,3,5,6] => 1
[7,2,4,5,1,6,3] => [2,4,5,1,6,3] => [1,2,4,3,5,6] => 1
[7,2,4,5,3,1,6] => [2,4,5,3,1,6] => [1,2,4,3,5,6] => 1
[7,2,4,5,3,6,1] => [2,4,5,3,6,1] => [1,2,4,3,5,6] => 1
[7,2,4,5,6,1,3] => [2,4,5,6,1,3] => [1,2,4,6,3,5] => 1
[7,2,4,5,6,3,1] => [2,4,5,6,3,1] => [1,2,4,6,3,5] => 1
[7,2,4,6,1,3,5] => [2,4,6,1,3,5] => [1,2,4,3,6,5] => 2
[7,2,4,6,1,5,3] => [2,4,6,1,5,3] => [1,2,4,3,6,5] => 2
[7,2,4,6,3,1,5] => [2,4,6,3,1,5] => [1,2,4,3,6,5] => 2
[7,2,4,6,3,5,1] => [2,4,6,3,5,1] => [1,2,4,3,6,5] => 2
[7,2,4,6,5,1,3] => [2,4,6,5,1,3] => [1,2,4,5,3,6] => 1
[7,2,4,6,5,3,1] => [2,4,6,5,3,1] => [1,2,4,5,3,6] => 1
[7,2,5,1,3,4,6] => [2,5,1,3,4,6] => [1,2,5,4,3,6] => 1
[7,2,5,1,3,6,4] => [2,5,1,3,6,4] => [1,2,5,6,4,3] => 1
[7,2,5,1,4,3,6] => [2,5,1,4,3,6] => [1,2,5,3,4,6] => 1
[7,2,5,1,4,6,3] => [2,5,1,4,6,3] => [1,2,5,6,3,4] => 1
[7,2,5,1,6,3,4] => [2,5,1,6,3,4] => [1,2,5,3,4,6] => 1
[7,2,5,1,6,4,3] => [2,5,1,6,4,3] => [1,2,5,4,6,3] => 2
[7,2,5,3,1,4,6] => [2,5,3,1,4,6] => [1,2,5,4,3,6] => 1
[7,2,5,3,1,6,4] => [2,5,3,1,6,4] => [1,2,5,6,4,3] => 1
[7,2,5,3,4,1,6] => [2,5,3,4,1,6] => [1,2,5,3,4,6] => 1
[7,2,5,3,4,6,1] => [2,5,3,4,6,1] => [1,2,5,6,3,4] => 1
[7,2,5,3,6,1,4] => [2,5,3,6,1,4] => [1,2,5,3,4,6] => 1
[7,2,5,3,6,4,1] => [2,5,3,6,4,1] => [1,2,5,4,6,3] => 2
[7,2,5,4,1,3,6] => [2,5,4,1,3,6] => [1,2,5,3,4,6] => 1
[7,2,5,4,1,6,3] => [2,5,4,1,6,3] => [1,2,5,6,3,4] => 1
[7,2,5,4,3,1,6] => [2,5,4,3,1,6] => [1,2,5,3,4,6] => 1
[7,2,5,4,3,6,1] => [2,5,4,3,6,1] => [1,2,5,6,3,4] => 1
[7,2,5,4,6,1,3] => [2,5,4,6,1,3] => [1,2,5,3,4,6] => 1
[7,2,5,4,6,3,1] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 1
[7,2,5,6,1,3,4] => [2,5,6,1,3,4] => [1,2,5,3,6,4] => 2
[7,2,5,6,1,4,3] => [2,5,6,1,4,3] => [1,2,5,4,3,6] => 1
[7,2,5,6,3,1,4] => [2,5,6,3,1,4] => [1,2,5,3,6,4] => 2
[7,2,5,6,3,4,1] => [2,5,6,3,4,1] => [1,2,5,4,3,6] => 1
[7,2,5,6,4,1,3] => [2,5,6,4,1,3] => [1,2,5,3,6,4] => 2
[7,2,5,6,4,3,1] => [2,5,6,4,3,1] => [1,2,5,3,6,4] => 2
[7,2,6,1,3,4,5] => [2,6,1,3,4,5] => [1,2,6,5,4,3] => 1
[7,2,6,1,3,5,4] => [2,6,1,3,5,4] => [1,2,6,4,3,5] => 1
[7,2,6,1,4,3,5] => [2,6,1,4,3,5] => [1,2,6,5,3,4] => 1
[7,2,6,1,4,5,3] => [2,6,1,4,5,3] => [1,2,6,3,4,5] => 1
[7,2,6,1,5,3,4] => [2,6,1,5,3,4] => [1,2,6,4,5,3] => 2
[7,2,6,1,5,4,3] => [2,6,1,5,4,3] => [1,2,6,3,4,5] => 1
[7,2,6,3,1,4,5] => [2,6,3,1,4,5] => [1,2,6,5,4,3] => 1
[7,2,6,3,1,5,4] => [2,6,3,1,5,4] => [1,2,6,4,3,5] => 1
[7,2,6,3,4,1,5] => [2,6,3,4,1,5] => [1,2,6,5,3,4] => 1
[7,2,6,3,4,5,1] => [2,6,3,4,5,1] => [1,2,6,3,4,5] => 1
[7,2,6,3,5,1,4] => [2,6,3,5,1,4] => [1,2,6,4,5,3] => 2
[7,2,6,3,5,4,1] => [2,6,3,5,4,1] => [1,2,6,3,4,5] => 1
[7,2,6,4,1,3,5] => [2,6,4,1,3,5] => [1,2,6,5,3,4] => 1
[7,2,6,4,1,5,3] => [2,6,4,1,5,3] => [1,2,6,3,4,5] => 1
[7,2,6,4,3,1,5] => [2,6,4,3,1,5] => [1,2,6,5,3,4] => 1
[7,2,6,4,3,5,1] => [2,6,4,3,5,1] => [1,2,6,3,4,5] => 1
[7,2,6,4,5,1,3] => [2,6,4,5,1,3] => [1,2,6,3,4,5] => 1
[7,2,6,4,5,3,1] => [2,6,4,5,3,1] => [1,2,6,3,4,5] => 1
[7,2,6,5,1,3,4] => [2,6,5,1,3,4] => [1,2,6,4,3,5] => 1
[7,2,6,5,1,4,3] => [2,6,5,1,4,3] => [1,2,6,3,5,4] => 2
[7,2,6,5,3,1,4] => [2,6,5,3,1,4] => [1,2,6,4,3,5] => 1
[7,2,6,5,3,4,1] => [2,6,5,3,4,1] => [1,2,6,3,5,4] => 2
[7,2,6,5,4,1,3] => [2,6,5,4,1,3] => [1,2,6,3,5,4] => 2
[7,2,6,5,4,3,1] => [2,6,5,4,3,1] => [1,2,6,3,5,4] => 2
[7,3,1,2,4,5,6] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => 1
[7,3,1,2,4,6,5] => [3,1,2,4,6,5] => [1,3,2,4,5,6] => 1
[7,3,1,2,5,4,6] => [3,1,2,5,4,6] => [1,3,2,4,5,6] => 1
[7,3,1,2,5,6,4] => [3,1,2,5,6,4] => [1,3,2,4,5,6] => 1
[7,3,1,2,6,4,5] => [3,1,2,6,4,5] => [1,3,2,4,6,5] => 2
[7,3,1,2,6,5,4] => [3,1,2,6,5,4] => [1,3,2,4,6,5] => 2
[7,3,1,4,2,5,6] => [3,1,4,2,5,6] => [1,3,4,2,5,6] => 1
[7,3,1,4,2,6,5] => [3,1,4,2,6,5] => [1,3,4,2,5,6] => 1
[7,3,1,4,5,2,6] => [3,1,4,5,2,6] => [1,3,4,5,2,6] => 1
[7,3,1,4,5,6,2] => [3,1,4,5,6,2] => [1,3,4,5,6,2] => 1
[7,3,1,4,6,2,5] => [3,1,4,6,2,5] => [1,3,4,6,5,2] => 1
[7,3,1,4,6,5,2] => [3,1,4,6,5,2] => [1,3,4,6,2,5] => 1
[7,3,1,5,2,4,6] => [3,1,5,2,4,6] => [1,3,5,4,2,6] => 1
[7,3,1,5,2,6,4] => [3,1,5,2,6,4] => [1,3,5,6,4,2] => 1
[7,3,1,5,4,2,6] => [3,1,5,4,2,6] => [1,3,5,2,4,6] => 1
[7,3,1,5,4,6,2] => [3,1,5,4,6,2] => [1,3,5,6,2,4] => 1
[7,3,1,5,6,2,4] => [3,1,5,6,2,4] => [1,3,5,2,4,6] => 1
[7,3,1,5,6,4,2] => [3,1,5,6,4,2] => [1,3,5,4,6,2] => 2
[7,3,1,6,2,4,5] => [3,1,6,2,4,5] => [1,3,6,5,4,2] => 1
[7,3,1,6,2,5,4] => [3,1,6,2,5,4] => [1,3,6,4,2,5] => 1
[7,3,1,6,4,2,5] => [3,1,6,4,2,5] => [1,3,6,5,2,4] => 1
[7,3,1,6,4,5,2] => [3,1,6,4,5,2] => [1,3,6,2,4,5] => 1
[7,3,1,6,5,2,4] => [3,1,6,5,2,4] => [1,3,6,4,5,2] => 2
[7,3,1,6,5,4,2] => [3,1,6,5,4,2] => [1,3,6,2,4,5] => 1
[7,3,2,1,4,5,6] => [3,2,1,4,5,6] => [1,3,2,4,5,6] => 1
[7,3,2,1,4,6,5] => [3,2,1,4,6,5] => [1,3,2,4,5,6] => 1
[7,3,2,1,5,4,6] => [3,2,1,5,4,6] => [1,3,2,4,5,6] => 1
[7,3,2,1,5,6,4] => [3,2,1,5,6,4] => [1,3,2,4,5,6] => 1
[7,3,2,1,6,4,5] => [3,2,1,6,4,5] => [1,3,2,4,6,5] => 2
[7,3,2,1,6,5,4] => [3,2,1,6,5,4] => [1,3,2,4,6,5] => 2
[7,3,2,4,1,5,6] => [3,2,4,1,5,6] => [1,3,4,2,5,6] => 1
[7,3,2,4,1,6,5] => [3,2,4,1,6,5] => [1,3,4,2,5,6] => 1
[7,3,2,4,5,1,6] => [3,2,4,5,1,6] => [1,3,4,5,2,6] => 1
[7,3,2,4,5,6,1] => [3,2,4,5,6,1] => [1,3,4,5,6,2] => 1
[7,3,2,4,6,1,5] => [3,2,4,6,1,5] => [1,3,4,6,5,2] => 1
[7,3,2,4,6,5,1] => [3,2,4,6,5,1] => [1,3,4,6,2,5] => 1
[7,3,2,5,1,4,6] => [3,2,5,1,4,6] => [1,3,5,4,2,6] => 1
[7,3,2,5,1,6,4] => [3,2,5,1,6,4] => [1,3,5,6,4,2] => 1
[7,3,2,5,4,1,6] => [3,2,5,4,1,6] => [1,3,5,2,4,6] => 1
[7,3,2,5,4,6,1] => [3,2,5,4,6,1] => [1,3,5,6,2,4] => 1
[7,3,2,5,6,1,4] => [3,2,5,6,1,4] => [1,3,5,2,4,6] => 1
[7,3,2,5,6,4,1] => [3,2,5,6,4,1] => [1,3,5,4,6,2] => 2
[7,3,2,6,1,4,5] => [3,2,6,1,4,5] => [1,3,6,5,4,2] => 1
[7,3,2,6,1,5,4] => [3,2,6,1,5,4] => [1,3,6,4,2,5] => 1
[7,3,2,6,4,1,5] => [3,2,6,4,1,5] => [1,3,6,5,2,4] => 1
[7,3,2,6,4,5,1] => [3,2,6,4,5,1] => [1,3,6,2,4,5] => 1
[7,3,2,6,5,1,4] => [3,2,6,5,1,4] => [1,3,6,4,5,2] => 2
[7,3,2,6,5,4,1] => [3,2,6,5,4,1] => [1,3,6,2,4,5] => 1
[7,3,4,1,2,5,6] => [3,4,1,2,5,6] => [1,3,2,4,5,6] => 1
[7,3,4,1,2,6,5] => [3,4,1,2,6,5] => [1,3,2,4,5,6] => 1
[7,3,4,1,5,2,6] => [3,4,1,5,2,6] => [1,3,2,4,5,6] => 1
[7,3,4,1,5,6,2] => [3,4,1,5,6,2] => [1,3,2,4,5,6] => 1
[7,3,4,1,6,2,5] => [3,4,1,6,2,5] => [1,3,2,4,6,5] => 2
[7,3,4,1,6,5,2] => [3,4,1,6,5,2] => [1,3,2,4,6,5] => 2
[7,3,4,2,1,5,6] => [3,4,2,1,5,6] => [1,3,2,4,5,6] => 1
[7,3,4,2,1,6,5] => [3,4,2,1,6,5] => [1,3,2,4,5,6] => 1
[7,3,4,2,5,1,6] => [3,4,2,5,1,6] => [1,3,2,4,5,6] => 1
[7,3,4,2,5,6,1] => [3,4,2,5,6,1] => [1,3,2,4,5,6] => 1
[7,3,4,2,6,1,5] => [3,4,2,6,1,5] => [1,3,2,4,6,5] => 2
[7,3,4,2,6,5,1] => [3,4,2,6,5,1] => [1,3,2,4,6,5] => 2
[7,3,4,5,1,2,6] => [3,4,5,1,2,6] => [1,3,5,2,4,6] => 1
[7,3,4,5,1,6,2] => [3,4,5,1,6,2] => [1,3,5,6,2,4] => 1
[7,3,4,5,2,1,6] => [3,4,5,2,1,6] => [1,3,5,2,4,6] => 1
[7,3,4,5,2,6,1] => [3,4,5,2,6,1] => [1,3,5,6,2,4] => 1
[7,3,4,5,6,1,2] => [3,4,5,6,1,2] => [1,3,5,2,4,6] => 1
[7,3,4,5,6,2,1] => [3,4,5,6,2,1] => [1,3,5,2,4,6] => 1
[7,3,4,6,1,2,5] => [3,4,6,1,2,5] => [1,3,6,5,2,4] => 1
[7,3,4,6,1,5,2] => [3,4,6,1,5,2] => [1,3,6,2,4,5] => 1
[7,3,4,6,2,1,5] => [3,4,6,2,1,5] => [1,3,6,5,2,4] => 1
[7,3,4,6,2,5,1] => [3,4,6,2,5,1] => [1,3,6,2,4,5] => 1
[7,3,4,6,5,1,2] => [3,4,6,5,1,2] => [1,3,6,2,4,5] => 1
[7,3,4,6,5,2,1] => [3,4,6,5,2,1] => [1,3,6,2,4,5] => 1
[7,3,5,1,2,4,6] => [3,5,1,2,4,6] => [1,3,2,5,4,6] => 2
[7,3,5,1,2,6,4] => [3,5,1,2,6,4] => [1,3,2,5,6,4] => 2
[7,3,5,1,4,2,6] => [3,5,1,4,2,6] => [1,3,2,5,4,6] => 2
[7,3,5,1,4,6,2] => [3,5,1,4,6,2] => [1,3,2,5,6,4] => 2
[7,3,5,1,6,2,4] => [3,5,1,6,2,4] => [1,3,2,5,4,6] => 2
[7,3,5,1,6,4,2] => [3,5,1,6,4,2] => [1,3,2,5,4,6] => 2
[7,3,5,2,1,4,6] => [3,5,2,1,4,6] => [1,3,2,5,4,6] => 2
[7,3,5,2,1,6,4] => [3,5,2,1,6,4] => [1,3,2,5,6,4] => 2
[7,3,5,2,4,1,6] => [3,5,2,4,1,6] => [1,3,2,5,4,6] => 2
[7,3,5,2,4,6,1] => [3,5,2,4,6,1] => [1,3,2,5,6,4] => 2
[7,3,5,2,6,1,4] => [3,5,2,6,1,4] => [1,3,2,5,4,6] => 2
[7,3,5,2,6,4,1] => [3,5,2,6,4,1] => [1,3,2,5,4,6] => 2
[7,3,5,4,1,2,6] => [3,5,4,1,2,6] => [1,3,4,2,5,6] => 1
[7,3,5,4,1,6,2] => [3,5,4,1,6,2] => [1,3,4,2,5,6] => 1
[7,3,5,4,2,1,6] => [3,5,4,2,1,6] => [1,3,4,2,5,6] => 1
[7,3,5,4,2,6,1] => [3,5,4,2,6,1] => [1,3,4,2,5,6] => 1
[7,3,5,4,6,1,2] => [3,5,4,6,1,2] => [1,3,4,6,2,5] => 1
[7,3,5,4,6,2,1] => [3,5,4,6,2,1] => [1,3,4,6,2,5] => 1
[7,3,5,6,1,2,4] => [3,5,6,1,2,4] => [1,3,6,4,2,5] => 1
[7,3,5,6,1,4,2] => [3,5,6,1,4,2] => [1,3,6,2,5,4] => 2
[7,3,5,6,2,1,4] => [3,5,6,2,1,4] => [1,3,6,4,2,5] => 1
[7,3,5,6,2,4,1] => [3,5,6,2,4,1] => [1,3,6,2,5,4] => 2
[7,3,5,6,4,1,2] => [3,5,6,4,1,2] => [1,3,6,2,5,4] => 2
[7,3,5,6,4,2,1] => [3,5,6,4,2,1] => [1,3,6,2,5,4] => 2
[7,3,6,1,2,4,5] => [3,6,1,2,4,5] => [1,3,2,6,5,4] => 2
[7,3,6,1,2,5,4] => [3,6,1,2,5,4] => [1,3,2,6,4,5] => 2
[7,3,6,1,4,2,5] => [3,6,1,4,2,5] => [1,3,2,6,5,4] => 2
[7,3,6,1,4,5,2] => [3,6,1,4,5,2] => [1,3,2,6,4,5] => 2
[7,3,6,1,5,2,4] => [3,6,1,5,2,4] => [1,3,2,6,4,5] => 2
[7,3,6,1,5,4,2] => [3,6,1,5,4,2] => [1,3,2,6,4,5] => 2
[7,3,6,2,1,4,5] => [3,6,2,1,4,5] => [1,3,2,6,5,4] => 2
[7,3,6,2,1,5,4] => [3,6,2,1,5,4] => [1,3,2,6,4,5] => 2
[7,3,6,2,4,1,5] => [3,6,2,4,1,5] => [1,3,2,6,5,4] => 2
[7,3,6,2,4,5,1] => [3,6,2,4,5,1] => [1,3,2,6,4,5] => 2
[7,3,6,2,5,1,4] => [3,6,2,5,1,4] => [1,3,2,6,4,5] => 2
[7,3,6,2,5,4,1] => [3,6,2,5,4,1] => [1,3,2,6,4,5] => 2
[7,3,6,4,1,2,5] => [3,6,4,1,2,5] => [1,3,4,2,6,5] => 2
[7,3,6,4,1,5,2] => [3,6,4,1,5,2] => [1,3,4,2,6,5] => 2
[7,3,6,4,2,1,5] => [3,6,4,2,1,5] => [1,3,4,2,6,5] => 2
[7,3,6,4,2,5,1] => [3,6,4,2,5,1] => [1,3,4,2,6,5] => 2
[7,3,6,4,5,1,2] => [3,6,4,5,1,2] => [1,3,4,5,2,6] => 1
[7,3,6,4,5,2,1] => [3,6,4,5,2,1] => [1,3,4,5,2,6] => 1
[7,3,6,5,1,2,4] => [3,6,5,1,2,4] => [1,3,5,2,6,4] => 2
[7,3,6,5,1,4,2] => [3,6,5,1,4,2] => [1,3,5,4,2,6] => 1
[7,3,6,5,2,1,4] => [3,6,5,2,1,4] => [1,3,5,2,6,4] => 2
[7,3,6,5,2,4,1] => [3,6,5,2,4,1] => [1,3,5,4,2,6] => 1
[7,3,6,5,4,1,2] => [3,6,5,4,1,2] => [1,3,5,2,6,4] => 2
[7,3,6,5,4,2,1] => [3,6,5,4,2,1] => [1,3,5,2,6,4] => 2
[7,4,1,2,3,5,6] => [4,1,2,3,5,6] => [1,4,3,2,5,6] => 1
[7,4,1,2,3,6,5] => [4,1,2,3,6,5] => [1,4,3,2,5,6] => 1
[7,4,1,2,5,3,6] => [4,1,2,5,3,6] => [1,4,5,3,2,6] => 1
[7,4,1,2,5,6,3] => [4,1,2,5,6,3] => [1,4,5,6,3,2] => 1
[7,4,1,2,6,3,5] => [4,1,2,6,3,5] => [1,4,6,5,3,2] => 1
[7,4,1,2,6,5,3] => [4,1,2,6,5,3] => [1,4,6,3,2,5] => 1
[7,4,1,3,2,5,6] => [4,1,3,2,5,6] => [1,4,2,3,5,6] => 1
[7,4,1,3,2,6,5] => [4,1,3,2,6,5] => [1,4,2,3,5,6] => 1
[7,4,1,3,5,2,6] => [4,1,3,5,2,6] => [1,4,5,2,3,6] => 1
[7,4,1,3,5,6,2] => [4,1,3,5,6,2] => [1,4,5,6,2,3] => 1
[7,4,1,3,6,2,5] => [4,1,3,6,2,5] => [1,4,6,5,2,3] => 1
[7,4,1,3,6,5,2] => [4,1,3,6,5,2] => [1,4,6,2,3,5] => 1
[7,4,1,5,2,3,6] => [4,1,5,2,3,6] => [1,4,2,3,5,6] => 1
[7,4,1,5,2,6,3] => [4,1,5,2,6,3] => [1,4,2,3,5,6] => 1
[7,4,1,5,3,2,6] => [4,1,5,3,2,6] => [1,4,3,5,2,6] => 2
[7,4,1,5,3,6,2] => [4,1,5,3,6,2] => [1,4,3,5,6,2] => 2
[7,4,1,5,6,2,3] => [4,1,5,6,2,3] => [1,4,6,3,5,2] => 2
[7,4,1,5,6,3,2] => [4,1,5,6,3,2] => [1,4,6,2,3,5] => 1
[7,4,1,6,2,3,5] => [4,1,6,2,3,5] => [1,4,2,3,6,5] => 2
[7,4,1,6,2,5,3] => [4,1,6,2,5,3] => [1,4,2,3,6,5] => 2
[7,4,1,6,3,2,5] => [4,1,6,3,2,5] => [1,4,3,6,5,2] => 2
[7,4,1,6,3,5,2] => [4,1,6,3,5,2] => [1,4,3,6,2,5] => 2
[7,4,1,6,5,2,3] => [4,1,6,5,2,3] => [1,4,5,2,3,6] => 1
[7,4,1,6,5,3,2] => [4,1,6,5,3,2] => [1,4,5,3,6,2] => 2
[7,4,2,1,3,5,6] => [4,2,1,3,5,6] => [1,4,3,2,5,6] => 1
[7,4,2,1,3,6,5] => [4,2,1,3,6,5] => [1,4,3,2,5,6] => 1
[7,4,2,1,5,3,6] => [4,2,1,5,3,6] => [1,4,5,3,2,6] => 1
[7,4,2,1,5,6,3] => [4,2,1,5,6,3] => [1,4,5,6,3,2] => 1
[7,4,2,1,6,3,5] => [4,2,1,6,3,5] => [1,4,6,5,3,2] => 1
[7,4,2,1,6,5,3] => [4,2,1,6,5,3] => [1,4,6,3,2,5] => 1
[7,4,2,3,1,5,6] => [4,2,3,1,5,6] => [1,4,2,3,5,6] => 1
[7,4,2,3,1,6,5] => [4,2,3,1,6,5] => [1,4,2,3,5,6] => 1
[7,4,2,3,5,1,6] => [4,2,3,5,1,6] => [1,4,5,2,3,6] => 1
[7,4,2,3,5,6,1] => [4,2,3,5,6,1] => [1,4,5,6,2,3] => 1
[7,4,2,3,6,1,5] => [4,2,3,6,1,5] => [1,4,6,5,2,3] => 1
[7,4,2,3,6,5,1] => [4,2,3,6,5,1] => [1,4,6,2,3,5] => 1
[7,4,2,5,1,3,6] => [4,2,5,1,3,6] => [1,4,2,3,5,6] => 1
[7,4,2,5,1,6,3] => [4,2,5,1,6,3] => [1,4,2,3,5,6] => 1
[7,4,2,5,3,1,6] => [4,2,5,3,1,6] => [1,4,3,5,2,6] => 2
[7,4,2,5,3,6,1] => [4,2,5,3,6,1] => [1,4,3,5,6,2] => 2
[7,4,2,5,6,1,3] => [4,2,5,6,1,3] => [1,4,6,3,5,2] => 2
[7,4,2,5,6,3,1] => [4,2,5,6,3,1] => [1,4,6,2,3,5] => 1
[7,4,2,6,1,3,5] => [4,2,6,1,3,5] => [1,4,2,3,6,5] => 2
[7,4,2,6,1,5,3] => [4,2,6,1,5,3] => [1,4,2,3,6,5] => 2
[7,4,2,6,3,1,5] => [4,2,6,3,1,5] => [1,4,3,6,5,2] => 2
[7,4,2,6,3,5,1] => [4,2,6,3,5,1] => [1,4,3,6,2,5] => 2
[7,4,2,6,5,1,3] => [4,2,6,5,1,3] => [1,4,5,2,3,6] => 1
[7,4,2,6,5,3,1] => [4,2,6,5,3,1] => [1,4,5,3,6,2] => 2
[7,4,3,1,2,5,6] => [4,3,1,2,5,6] => [1,4,2,3,5,6] => 1
[7,4,3,1,2,6,5] => [4,3,1,2,6,5] => [1,4,2,3,5,6] => 1
[7,4,3,1,5,2,6] => [4,3,1,5,2,6] => [1,4,5,2,3,6] => 1
[7,4,3,1,5,6,2] => [4,3,1,5,6,2] => [1,4,5,6,2,3] => 1
[7,4,3,1,6,2,5] => [4,3,1,6,2,5] => [1,4,6,5,2,3] => 1
[7,4,3,1,6,5,2] => [4,3,1,6,5,2] => [1,4,6,2,3,5] => 1
[7,4,3,2,1,5,6] => [4,3,2,1,5,6] => [1,4,2,3,5,6] => 1
[7,4,3,2,1,6,5] => [4,3,2,1,6,5] => [1,4,2,3,5,6] => 1
[7,4,3,2,5,1,6] => [4,3,2,5,1,6] => [1,4,5,2,3,6] => 1
[7,4,3,2,5,6,1] => [4,3,2,5,6,1] => [1,4,5,6,2,3] => 1
[7,4,3,2,6,1,5] => [4,3,2,6,1,5] => [1,4,6,5,2,3] => 1
[7,4,3,2,6,5,1] => [4,3,2,6,5,1] => [1,4,6,2,3,5] => 1
[7,4,3,5,1,2,6] => [4,3,5,1,2,6] => [1,4,2,3,5,6] => 1
[7,4,3,5,1,6,2] => [4,3,5,1,6,2] => [1,4,2,3,5,6] => 1
[7,4,3,5,2,1,6] => [4,3,5,2,1,6] => [1,4,2,3,5,6] => 1
[7,4,3,5,2,6,1] => [4,3,5,2,6,1] => [1,4,2,3,5,6] => 1
[7,4,3,5,6,1,2] => [4,3,5,6,1,2] => [1,4,6,2,3,5] => 1
[7,4,3,5,6,2,1] => [4,3,5,6,2,1] => [1,4,6,2,3,5] => 1
[7,4,3,6,1,2,5] => [4,3,6,1,2,5] => [1,4,2,3,6,5] => 2
[7,4,3,6,1,5,2] => [4,3,6,1,5,2] => [1,4,2,3,6,5] => 2
[7,4,3,6,2,1,5] => [4,3,6,2,1,5] => [1,4,2,3,6,5] => 2
[7,4,3,6,2,5,1] => [4,3,6,2,5,1] => [1,4,2,3,6,5] => 2
[7,4,3,6,5,1,2] => [4,3,6,5,1,2] => [1,4,5,2,3,6] => 1
[7,4,3,6,5,2,1] => [4,3,6,5,2,1] => [1,4,5,2,3,6] => 1
[7,4,5,1,2,3,6] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => 2
[7,4,5,1,2,6,3] => [4,5,1,2,6,3] => [1,4,2,5,6,3] => 2
[7,4,5,1,3,2,6] => [4,5,1,3,2,6] => [1,4,3,2,5,6] => 1
[7,4,5,1,3,6,2] => [4,5,1,3,6,2] => [1,4,3,2,5,6] => 1
[7,4,5,1,6,2,3] => [4,5,1,6,2,3] => [1,4,6,3,2,5] => 1
[7,4,5,1,6,3,2] => [4,5,1,6,3,2] => [1,4,6,2,5,3] => 2
[7,4,5,2,1,3,6] => [4,5,2,1,3,6] => [1,4,2,5,3,6] => 2
[7,4,5,2,1,6,3] => [4,5,2,1,6,3] => [1,4,2,5,6,3] => 2
[7,4,5,2,3,1,6] => [4,5,2,3,1,6] => [1,4,3,2,5,6] => 1
[7,4,5,2,3,6,1] => [4,5,2,3,6,1] => [1,4,3,2,5,6] => 1
[7,4,5,2,6,1,3] => [4,5,2,6,1,3] => [1,4,6,3,2,5] => 1
[7,4,5,2,6,3,1] => [4,5,2,6,3,1] => [1,4,6,2,5,3] => 2
[7,4,5,3,1,2,6] => [4,5,3,1,2,6] => [1,4,2,5,3,6] => 2
[7,4,5,3,1,6,2] => [4,5,3,1,6,2] => [1,4,2,5,6,3] => 2
[7,4,5,3,2,1,6] => [4,5,3,2,1,6] => [1,4,2,5,3,6] => 2
[7,4,5,3,2,6,1] => [4,5,3,2,6,1] => [1,4,2,5,6,3] => 2
[7,4,5,3,6,1,2] => [4,5,3,6,1,2] => [1,4,6,2,5,3] => 2
[7,4,5,3,6,2,1] => [4,5,3,6,2,1] => [1,4,6,2,5,3] => 2
[7,4,5,6,1,2,3] => [4,5,6,1,2,3] => [1,4,2,5,3,6] => 2
[7,4,5,6,1,3,2] => [4,5,6,1,3,2] => [1,4,2,5,3,6] => 2
[7,4,5,6,2,1,3] => [4,5,6,2,1,3] => [1,4,2,5,3,6] => 2
[7,4,5,6,2,3,1] => [4,5,6,2,3,1] => [1,4,2,5,3,6] => 2
[7,4,5,6,3,1,2] => [4,5,6,3,1,2] => [1,4,3,6,2,5] => 2
[7,4,5,6,3,2,1] => [4,5,6,3,2,1] => [1,4,3,6,2,5] => 2
[7,4,6,1,2,3,5] => [4,6,1,2,3,5] => [1,4,2,6,5,3] => 2
[7,4,6,1,2,5,3] => [4,6,1,2,5,3] => [1,4,2,6,3,5] => 2
[7,4,6,1,3,2,5] => [4,6,1,3,2,5] => [1,4,3,2,6,5] => 2
[7,4,6,1,3,5,2] => [4,6,1,3,5,2] => [1,4,3,2,6,5] => 2
[7,4,6,1,5,2,3] => [4,6,1,5,2,3] => [1,4,5,2,6,3] => 2
[7,4,6,1,5,3,2] => [4,6,1,5,3,2] => [1,4,5,3,2,6] => 1
[7,4,6,2,1,3,5] => [4,6,2,1,3,5] => [1,4,2,6,5,3] => 2
[7,4,6,2,1,5,3] => [4,6,2,1,5,3] => [1,4,2,6,3,5] => 2
[7,4,6,2,3,1,5] => [4,6,2,3,1,5] => [1,4,3,2,6,5] => 2
[7,4,6,2,3,5,1] => [4,6,2,3,5,1] => [1,4,3,2,6,5] => 2
[7,4,6,2,5,1,3] => [4,6,2,5,1,3] => [1,4,5,2,6,3] => 2
[7,4,6,2,5,3,1] => [4,6,2,5,3,1] => [1,4,5,3,2,6] => 1
[7,4,6,3,1,2,5] => [4,6,3,1,2,5] => [1,4,2,6,5,3] => 2
[7,4,6,3,1,5,2] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => 2
[7,4,6,3,2,1,5] => [4,6,3,2,1,5] => [1,4,2,6,5,3] => 2
[7,4,6,3,2,5,1] => [4,6,3,2,5,1] => [1,4,2,6,3,5] => 2
[7,4,6,3,5,1,2] => [4,6,3,5,1,2] => [1,4,5,2,6,3] => 2
[7,4,6,3,5,2,1] => [4,6,3,5,2,1] => [1,4,5,2,6,3] => 2
[7,4,6,5,1,2,3] => [4,6,5,1,2,3] => [1,4,2,6,3,5] => 2
[7,4,6,5,1,3,2] => [4,6,5,1,3,2] => [1,4,2,6,3,5] => 2
[7,4,6,5,2,1,3] => [4,6,5,2,1,3] => [1,4,2,6,3,5] => 2
[7,4,6,5,2,3,1] => [4,6,5,2,3,1] => [1,4,2,6,3,5] => 2
[7,4,6,5,3,1,2] => [4,6,5,3,1,2] => [1,4,3,5,2,6] => 2
[7,4,6,5,3,2,1] => [4,6,5,3,2,1] => [1,4,3,5,2,6] => 2
[7,5,1,2,3,4,6] => [5,1,2,3,4,6] => [1,5,4,3,2,6] => 1
[7,5,1,2,3,6,4] => [5,1,2,3,6,4] => [1,5,6,4,3,2] => 1
[7,5,1,2,4,3,6] => [5,1,2,4,3,6] => [1,5,3,2,4,6] => 1
[7,5,1,2,4,6,3] => [5,1,2,4,6,3] => [1,5,6,3,2,4] => 1
[7,5,1,2,6,3,4] => [5,1,2,6,3,4] => [1,5,3,2,4,6] => 1
[7,5,1,2,6,4,3] => [5,1,2,6,4,3] => [1,5,4,6,3,2] => 2
[7,5,1,3,2,4,6] => [5,1,3,2,4,6] => [1,5,4,2,3,6] => 1
[7,5,1,3,2,6,4] => [5,1,3,2,6,4] => [1,5,6,4,2,3] => 1
[7,5,1,3,4,2,6] => [5,1,3,4,2,6] => [1,5,2,3,4,6] => 1
[7,5,1,3,4,6,2] => [5,1,3,4,6,2] => [1,5,6,2,3,4] => 1
[7,5,1,3,6,2,4] => [5,1,3,6,2,4] => [1,5,2,3,4,6] => 1
[7,5,1,3,6,4,2] => [5,1,3,6,4,2] => [1,5,4,6,2,3] => 2
[7,5,1,4,2,3,6] => [5,1,4,2,3,6] => [1,5,3,4,2,6] => 2
[7,5,1,4,2,6,3] => [5,1,4,2,6,3] => [1,5,6,3,4,2] => 2
[7,5,1,4,3,2,6] => [5,1,4,3,2,6] => [1,5,2,3,4,6] => 1
[7,5,1,4,3,6,2] => [5,1,4,3,6,2] => [1,5,6,2,3,4] => 1
[7,5,1,4,6,2,3] => [5,1,4,6,2,3] => [1,5,2,3,4,6] => 1
[7,5,1,4,6,3,2] => [5,1,4,6,3,2] => [1,5,3,4,6,2] => 2
[7,5,1,6,2,3,4] => [5,1,6,2,3,4] => [1,5,3,6,4,2] => 2
[7,5,1,6,2,4,3] => [5,1,6,2,4,3] => [1,5,4,2,3,6] => 1
[7,5,1,6,3,2,4] => [5,1,6,3,2,4] => [1,5,2,3,6,4] => 2
[7,5,1,6,3,4,2] => [5,1,6,3,4,2] => [1,5,4,3,6,2] => 2
[7,5,1,6,4,2,3] => [5,1,6,4,2,3] => [1,5,2,3,6,4] => 2
[7,5,1,6,4,3,2] => [5,1,6,4,3,2] => [1,5,3,6,2,4] => 2
[7,5,2,1,3,4,6] => [5,2,1,3,4,6] => [1,5,4,3,2,6] => 1
[7,5,2,1,3,6,4] => [5,2,1,3,6,4] => [1,5,6,4,3,2] => 1
[7,5,2,1,4,3,6] => [5,2,1,4,3,6] => [1,5,3,2,4,6] => 1
[7,5,2,1,4,6,3] => [5,2,1,4,6,3] => [1,5,6,3,2,4] => 1
[7,5,2,1,6,3,4] => [5,2,1,6,3,4] => [1,5,3,2,4,6] => 1
[7,5,2,1,6,4,3] => [5,2,1,6,4,3] => [1,5,4,6,3,2] => 2
[7,5,2,3,1,4,6] => [5,2,3,1,4,6] => [1,5,4,2,3,6] => 1
[7,5,2,3,1,6,4] => [5,2,3,1,6,4] => [1,5,6,4,2,3] => 1
[7,5,2,3,4,1,6] => [5,2,3,4,1,6] => [1,5,2,3,4,6] => 1
[7,5,2,3,4,6,1] => [5,2,3,4,6,1] => [1,5,6,2,3,4] => 1
[7,5,2,3,6,1,4] => [5,2,3,6,1,4] => [1,5,2,3,4,6] => 1
[7,5,2,3,6,4,1] => [5,2,3,6,4,1] => [1,5,4,6,2,3] => 2
[7,5,2,4,1,3,6] => [5,2,4,1,3,6] => [1,5,3,4,2,6] => 2
[7,5,2,4,1,6,3] => [5,2,4,1,6,3] => [1,5,6,3,4,2] => 2
[7,5,2,4,3,1,6] => [5,2,4,3,1,6] => [1,5,2,3,4,6] => 1
[7,5,2,4,3,6,1] => [5,2,4,3,6,1] => [1,5,6,2,3,4] => 1
[7,5,2,4,6,1,3] => [5,2,4,6,1,3] => [1,5,2,3,4,6] => 1
[7,5,2,4,6,3,1] => [5,2,4,6,3,1] => [1,5,3,4,6,2] => 2
[7,5,2,6,1,3,4] => [5,2,6,1,3,4] => [1,5,3,6,4,2] => 2
[7,5,2,6,1,4,3] => [5,2,6,1,4,3] => [1,5,4,2,3,6] => 1
[7,5,2,6,3,1,4] => [5,2,6,3,1,4] => [1,5,2,3,6,4] => 2
[7,5,2,6,3,4,1] => [5,2,6,3,4,1] => [1,5,4,3,6,2] => 2
[7,5,2,6,4,1,3] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => 2
[7,5,2,6,4,3,1] => [5,2,6,4,3,1] => [1,5,3,6,2,4] => 2
[7,5,3,1,2,4,6] => [5,3,1,2,4,6] => [1,5,4,2,3,6] => 1
[7,5,3,1,2,6,4] => [5,3,1,2,6,4] => [1,5,6,4,2,3] => 1
[7,5,3,1,4,2,6] => [5,3,1,4,2,6] => [1,5,2,3,4,6] => 1
[7,5,3,1,4,6,2] => [5,3,1,4,6,2] => [1,5,6,2,3,4] => 1
[7,5,3,1,6,2,4] => [5,3,1,6,2,4] => [1,5,2,3,4,6] => 1
[7,5,3,1,6,4,2] => [5,3,1,6,4,2] => [1,5,4,6,2,3] => 2
[7,5,3,2,1,4,6] => [5,3,2,1,4,6] => [1,5,4,2,3,6] => 1
[7,5,3,2,1,6,4] => [5,3,2,1,6,4] => [1,5,6,4,2,3] => 1
[7,5,3,2,4,1,6] => [5,3,2,4,1,6] => [1,5,2,3,4,6] => 1
[7,5,3,2,4,6,1] => [5,3,2,4,6,1] => [1,5,6,2,3,4] => 1
[7,5,3,2,6,1,4] => [5,3,2,6,1,4] => [1,5,2,3,4,6] => 1
[7,5,3,2,6,4,1] => [5,3,2,6,4,1] => [1,5,4,6,2,3] => 2
[7,5,3,4,1,2,6] => [5,3,4,1,2,6] => [1,5,2,3,4,6] => 1
[7,5,3,4,1,6,2] => [5,3,4,1,6,2] => [1,5,6,2,3,4] => 1
[7,5,3,4,2,1,6] => [5,3,4,2,1,6] => [1,5,2,3,4,6] => 1
[7,5,3,4,2,6,1] => [5,3,4,2,6,1] => [1,5,6,2,3,4] => 1
[7,5,3,4,6,1,2] => [5,3,4,6,1,2] => [1,5,2,3,4,6] => 1
[7,5,3,4,6,2,1] => [5,3,4,6,2,1] => [1,5,2,3,4,6] => 1
[7,5,3,6,1,2,4] => [5,3,6,1,2,4] => [1,5,2,3,6,4] => 2
[7,5,3,6,1,4,2] => [5,3,6,1,4,2] => [1,5,4,2,3,6] => 1
[7,5,3,6,2,1,4] => [5,3,6,2,1,4] => [1,5,2,3,6,4] => 2
[7,5,3,6,2,4,1] => [5,3,6,2,4,1] => [1,5,4,2,3,6] => 1
[7,5,3,6,4,1,2] => [5,3,6,4,1,2] => [1,5,2,3,6,4] => 2
[7,5,3,6,4,2,1] => [5,3,6,4,2,1] => [1,5,2,3,6,4] => 2
[7,5,4,1,2,3,6] => [5,4,1,2,3,6] => [1,5,3,2,4,6] => 1
[7,5,4,1,2,6,3] => [5,4,1,2,6,3] => [1,5,6,3,2,4] => 1
[7,5,4,1,3,2,6] => [5,4,1,3,2,6] => [1,5,2,4,3,6] => 2
[7,5,4,1,3,6,2] => [5,4,1,3,6,2] => [1,5,6,2,4,3] => 2
[7,5,4,1,6,2,3] => [5,4,1,6,2,3] => [1,5,2,4,6,3] => 2
[7,5,4,1,6,3,2] => [5,4,1,6,3,2] => [1,5,3,2,4,6] => 1
[7,5,4,2,1,3,6] => [5,4,2,1,3,6] => [1,5,3,2,4,6] => 1
[7,5,4,2,1,6,3] => [5,4,2,1,6,3] => [1,5,6,3,2,4] => 1
[7,5,4,2,3,1,6] => [5,4,2,3,1,6] => [1,5,2,4,3,6] => 2
[7,5,4,2,3,6,1] => [5,4,2,3,6,1] => [1,5,6,2,4,3] => 2
[7,5,4,2,6,1,3] => [5,4,2,6,1,3] => [1,5,2,4,6,3] => 2
[7,5,4,2,6,3,1] => [5,4,2,6,3,1] => [1,5,3,2,4,6] => 1
[7,5,4,3,1,2,6] => [5,4,3,1,2,6] => [1,5,2,4,3,6] => 2
[7,5,4,3,1,6,2] => [5,4,3,1,6,2] => [1,5,6,2,4,3] => 2
[7,5,4,3,2,1,6] => [5,4,3,2,1,6] => [1,5,2,4,3,6] => 2
[7,5,4,3,2,6,1] => [5,4,3,2,6,1] => [1,5,6,2,4,3] => 2
[7,5,4,3,6,1,2] => [5,4,3,6,1,2] => [1,5,2,4,6,3] => 2
[7,5,4,3,6,2,1] => [5,4,3,6,2,1] => [1,5,2,4,6,3] => 2
[7,5,4,6,1,2,3] => [5,4,6,1,2,3] => [1,5,2,4,3,6] => 2
[7,5,4,6,1,3,2] => [5,4,6,1,3,2] => [1,5,3,6,2,4] => 2
[7,5,4,6,2,1,3] => [5,4,6,2,1,3] => [1,5,2,4,3,6] => 2
[7,5,4,6,2,3,1] => [5,4,6,2,3,1] => [1,5,3,6,2,4] => 2
[7,5,4,6,3,1,2] => [5,4,6,3,1,2] => [1,5,2,4,3,6] => 2
[7,5,4,6,3,2,1] => [5,4,6,3,2,1] => [1,5,2,4,3,6] => 2
[7,5,6,1,2,3,4] => [5,6,1,2,3,4] => [1,5,3,2,6,4] => 2
[7,5,6,1,2,4,3] => [5,6,1,2,4,3] => [1,5,4,2,6,3] => 2
[7,5,6,1,3,2,4] => [5,6,1,3,2,4] => [1,5,2,6,4,3] => 2
[7,5,6,1,3,4,2] => [5,6,1,3,4,2] => [1,5,4,3,2,6] => 1
[7,5,6,1,4,2,3] => [5,6,1,4,2,3] => [1,5,2,6,3,4] => 2
[7,5,6,1,4,3,2] => [5,6,1,4,3,2] => [1,5,3,2,6,4] => 2
[7,5,6,2,1,3,4] => [5,6,2,1,3,4] => [1,5,3,2,6,4] => 2
[7,5,6,2,1,4,3] => [5,6,2,1,4,3] => [1,5,4,2,6,3] => 2
[7,5,6,2,3,1,4] => [5,6,2,3,1,4] => [1,5,2,6,4,3] => 2
[7,5,6,2,3,4,1] => [5,6,2,3,4,1] => [1,5,4,3,2,6] => 1
[7,5,6,2,4,1,3] => [5,6,2,4,1,3] => [1,5,2,6,3,4] => 2
[7,5,6,2,4,3,1] => [5,6,2,4,3,1] => [1,5,3,2,6,4] => 2
[7,5,6,3,1,2,4] => [5,6,3,1,2,4] => [1,5,2,6,4,3] => 2
[7,5,6,3,1,4,2] => [5,6,3,1,4,2] => [1,5,4,2,6,3] => 2
[7,5,6,3,2,1,4] => [5,6,3,2,1,4] => [1,5,2,6,4,3] => 2
[7,5,6,3,2,4,1] => [5,6,3,2,4,1] => [1,5,4,2,6,3] => 2
[7,5,6,3,4,1,2] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => 2
[7,5,6,3,4,2,1] => [5,6,3,4,2,1] => [1,5,2,6,3,4] => 2
[7,5,6,4,1,2,3] => [5,6,4,1,2,3] => [1,5,2,6,3,4] => 2
[7,5,6,4,1,3,2] => [5,6,4,1,3,2] => [1,5,3,4,2,6] => 2
[7,5,6,4,2,1,3] => [5,6,4,2,1,3] => [1,5,2,6,3,4] => 2
[7,5,6,4,2,3,1] => [5,6,4,2,3,1] => [1,5,3,4,2,6] => 2
[7,5,6,4,3,1,2] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => 2
[7,5,6,4,3,2,1] => [5,6,4,3,2,1] => [1,5,2,6,3,4] => 2
[7,6,1,2,3,4,5] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => 1
[7,6,1,2,3,5,4] => [6,1,2,3,5,4] => [1,6,4,3,2,5] => 1
[7,6,1,2,4,3,5] => [6,1,2,4,3,5] => [1,6,5,3,2,4] => 1
[7,6,1,2,4,5,3] => [6,1,2,4,5,3] => [1,6,3,2,4,5] => 1
[7,6,1,2,5,3,4] => [6,1,2,5,3,4] => [1,6,4,5,3,2] => 2
[7,6,1,2,5,4,3] => [6,1,2,5,4,3] => [1,6,3,2,4,5] => 1
[7,6,1,3,2,4,5] => [6,1,3,2,4,5] => [1,6,5,4,2,3] => 1
[7,6,1,3,2,5,4] => [6,1,3,2,5,4] => [1,6,4,2,3,5] => 1
[7,6,1,3,4,2,5] => [6,1,3,4,2,5] => [1,6,5,2,3,4] => 1
[7,6,1,3,4,5,2] => [6,1,3,4,5,2] => [1,6,2,3,4,5] => 1
[7,6,1,3,5,2,4] => [6,1,3,5,2,4] => [1,6,4,5,2,3] => 2
[7,6,1,3,5,4,2] => [6,1,3,5,4,2] => [1,6,2,3,4,5] => 1
[7,6,1,4,2,3,5] => [6,1,4,2,3,5] => [1,6,5,3,4,2] => 2
[7,6,1,4,2,5,3] => [6,1,4,2,5,3] => [1,6,3,4,2,5] => 2
[7,6,1,4,3,2,5] => [6,1,4,3,2,5] => [1,6,5,2,3,4] => 1
[7,6,1,4,3,5,2] => [6,1,4,3,5,2] => [1,6,2,3,4,5] => 1
[7,6,1,4,5,2,3] => [6,1,4,5,2,3] => [1,6,3,4,5,2] => 2
[7,6,1,4,5,3,2] => [6,1,4,5,3,2] => [1,6,2,3,4,5] => 1
[7,6,1,5,2,3,4] => [6,1,5,2,3,4] => [1,6,4,2,3,5] => 1
[7,6,1,5,2,4,3] => [6,1,5,2,4,3] => [1,6,3,5,4,2] => 2
[7,6,1,5,3,2,4] => [6,1,5,3,2,4] => [1,6,4,3,5,2] => 2
[7,6,1,5,3,4,2] => [6,1,5,3,4,2] => [1,6,2,3,5,4] => 2
[7,6,1,5,4,2,3] => [6,1,5,4,2,3] => [1,6,3,5,2,4] => 2
[7,6,1,5,4,3,2] => [6,1,5,4,3,2] => [1,6,2,3,5,4] => 2
[7,6,2,1,3,4,5] => [6,2,1,3,4,5] => [1,6,5,4,3,2] => 1
[7,6,2,1,3,5,4] => [6,2,1,3,5,4] => [1,6,4,3,2,5] => 1
[7,6,2,1,4,3,5] => [6,2,1,4,3,5] => [1,6,5,3,2,4] => 1
[7,6,2,1,4,5,3] => [6,2,1,4,5,3] => [1,6,3,2,4,5] => 1
[7,6,2,1,5,3,4] => [6,2,1,5,3,4] => [1,6,4,5,3,2] => 2
[7,6,2,1,5,4,3] => [6,2,1,5,4,3] => [1,6,3,2,4,5] => 1
[7,6,2,3,1,4,5] => [6,2,3,1,4,5] => [1,6,5,4,2,3] => 1
[7,6,2,3,1,5,4] => [6,2,3,1,5,4] => [1,6,4,2,3,5] => 1
[7,6,2,3,4,1,5] => [6,2,3,4,1,5] => [1,6,5,2,3,4] => 1
[7,6,2,3,4,5,1] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => 1
[7,6,2,3,5,1,4] => [6,2,3,5,1,4] => [1,6,4,5,2,3] => 2
[7,6,2,3,5,4,1] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => 1
[7,6,2,4,1,3,5] => [6,2,4,1,3,5] => [1,6,5,3,4,2] => 2
[7,6,2,4,1,5,3] => [6,2,4,1,5,3] => [1,6,3,4,2,5] => 2
[7,6,2,4,3,1,5] => [6,2,4,3,1,5] => [1,6,5,2,3,4] => 1
[7,6,2,4,3,5,1] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => 1
[7,6,2,4,5,1,3] => [6,2,4,5,1,3] => [1,6,3,4,5,2] => 2
[7,6,2,4,5,3,1] => [6,2,4,5,3,1] => [1,6,2,3,4,5] => 1
[7,6,2,5,1,3,4] => [6,2,5,1,3,4] => [1,6,4,2,3,5] => 1
[7,6,2,5,1,4,3] => [6,2,5,1,4,3] => [1,6,3,5,4,2] => 2
[7,6,2,5,3,1,4] => [6,2,5,3,1,4] => [1,6,4,3,5,2] => 2
[7,6,2,5,3,4,1] => [6,2,5,3,4,1] => [1,6,2,3,5,4] => 2
[7,6,2,5,4,1,3] => [6,2,5,4,1,3] => [1,6,3,5,2,4] => 2
[7,6,2,5,4,3,1] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => 2
[7,6,3,1,2,4,5] => [6,3,1,2,4,5] => [1,6,5,4,2,3] => 1
[7,6,3,1,2,5,4] => [6,3,1,2,5,4] => [1,6,4,2,3,5] => 1
[7,6,3,1,4,2,5] => [6,3,1,4,2,5] => [1,6,5,2,3,4] => 1
[7,6,3,1,4,5,2] => [6,3,1,4,5,2] => [1,6,2,3,4,5] => 1
[7,6,3,1,5,2,4] => [6,3,1,5,2,4] => [1,6,4,5,2,3] => 2
[7,6,3,1,5,4,2] => [6,3,1,5,4,2] => [1,6,2,3,4,5] => 1
[7,6,3,2,1,4,5] => [6,3,2,1,4,5] => [1,6,5,4,2,3] => 1
[7,6,3,2,1,5,4] => [6,3,2,1,5,4] => [1,6,4,2,3,5] => 1
[7,6,3,2,4,1,5] => [6,3,2,4,1,5] => [1,6,5,2,3,4] => 1
[7,6,3,2,4,5,1] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => 1
[7,6,3,2,5,1,4] => [6,3,2,5,1,4] => [1,6,4,5,2,3] => 2
[7,6,3,2,5,4,1] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => 1
[7,6,3,4,1,2,5] => [6,3,4,1,2,5] => [1,6,5,2,3,4] => 1
[7,6,3,4,1,5,2] => [6,3,4,1,5,2] => [1,6,2,3,4,5] => 1
[7,6,3,4,2,1,5] => [6,3,4,2,1,5] => [1,6,5,2,3,4] => 1
[7,6,3,4,2,5,1] => [6,3,4,2,5,1] => [1,6,2,3,4,5] => 1
[7,6,3,4,5,1,2] => [6,3,4,5,1,2] => [1,6,2,3,4,5] => 1
[7,6,3,4,5,2,1] => [6,3,4,5,2,1] => [1,6,2,3,4,5] => 1
[7,6,3,5,1,2,4] => [6,3,5,1,2,4] => [1,6,4,2,3,5] => 1
[7,6,3,5,1,4,2] => [6,3,5,1,4,2] => [1,6,2,3,5,4] => 2
[7,6,3,5,2,1,4] => [6,3,5,2,1,4] => [1,6,4,2,3,5] => 1
[7,6,3,5,2,4,1] => [6,3,5,2,4,1] => [1,6,2,3,5,4] => 2
[7,6,3,5,4,1,2] => [6,3,5,4,1,2] => [1,6,2,3,5,4] => 2
[7,6,3,5,4,2,1] => [6,3,5,4,2,1] => [1,6,2,3,5,4] => 2
[7,6,4,1,2,3,5] => [6,4,1,2,3,5] => [1,6,5,3,2,4] => 1
[7,6,4,1,2,5,3] => [6,4,1,2,5,3] => [1,6,3,2,4,5] => 1
[7,6,4,1,3,2,5] => [6,4,1,3,2,5] => [1,6,5,2,4,3] => 2
[7,6,4,1,3,5,2] => [6,4,1,3,5,2] => [1,6,2,4,3,5] => 2
[7,6,4,1,5,2,3] => [6,4,1,5,2,3] => [1,6,3,2,4,5] => 1
[7,6,4,1,5,3,2] => [6,4,1,5,3,2] => [1,6,2,4,5,3] => 2
[7,6,4,2,1,3,5] => [6,4,2,1,3,5] => [1,6,5,3,2,4] => 1
[7,6,4,2,1,5,3] => [6,4,2,1,5,3] => [1,6,3,2,4,5] => 1
[7,6,4,2,3,1,5] => [6,4,2,3,1,5] => [1,6,5,2,4,3] => 2
[7,6,4,2,3,5,1] => [6,4,2,3,5,1] => [1,6,2,4,3,5] => 2
[7,6,4,2,5,1,3] => [6,4,2,5,1,3] => [1,6,3,2,4,5] => 1
[7,6,4,2,5,3,1] => [6,4,2,5,3,1] => [1,6,2,4,5,3] => 2
[7,6,4,3,1,2,5] => [6,4,3,1,2,5] => [1,6,5,2,4,3] => 2
[7,6,4,3,1,5,2] => [6,4,3,1,5,2] => [1,6,2,4,3,5] => 2
[7,6,4,3,2,1,5] => [6,4,3,2,1,5] => [1,6,5,2,4,3] => 2
[7,6,4,3,2,5,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => 2
[7,6,4,3,5,1,2] => [6,4,3,5,1,2] => [1,6,2,4,5,3] => 2
[7,6,4,3,5,2,1] => [6,4,3,5,2,1] => [1,6,2,4,5,3] => 2
[7,6,4,5,1,2,3] => [6,4,5,1,2,3] => [1,6,3,5,2,4] => 2
[7,6,4,5,1,3,2] => [6,4,5,1,3,2] => [1,6,2,4,3,5] => 2
[7,6,4,5,2,1,3] => [6,4,5,2,1,3] => [1,6,3,5,2,4] => 2
[7,6,4,5,2,3,1] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => 2
[7,6,4,5,3,1,2] => [6,4,5,3,1,2] => [1,6,2,4,3,5] => 2
[7,6,4,5,3,2,1] => [6,4,5,3,2,1] => [1,6,2,4,3,5] => 2
[7,6,5,1,2,3,4] => [6,5,1,2,3,4] => [1,6,4,2,5,3] => 2
[7,6,5,1,2,4,3] => [6,5,1,2,4,3] => [1,6,3,2,5,4] => 2
[7,6,5,1,3,2,4] => [6,5,1,3,2,4] => [1,6,4,3,2,5] => 1
[7,6,5,1,3,4,2] => [6,5,1,3,4,2] => [1,6,2,5,4,3] => 2
[7,6,5,1,4,2,3] => [6,5,1,4,2,3] => [1,6,3,2,5,4] => 2
[7,6,5,1,4,3,2] => [6,5,1,4,3,2] => [1,6,2,5,3,4] => 2
[7,6,5,2,1,3,4] => [6,5,2,1,3,4] => [1,6,4,2,5,3] => 2
[7,6,5,2,1,4,3] => [6,5,2,1,4,3] => [1,6,3,2,5,4] => 2
[7,6,5,2,3,1,4] => [6,5,2,3,1,4] => [1,6,4,3,2,5] => 1
[7,6,5,2,3,4,1] => [6,5,2,3,4,1] => [1,6,2,5,4,3] => 2
[7,6,5,2,4,1,3] => [6,5,2,4,1,3] => [1,6,3,2,5,4] => 2
[7,6,5,2,4,3,1] => [6,5,2,4,3,1] => [1,6,2,5,3,4] => 2
[7,6,5,3,1,2,4] => [6,5,3,1,2,4] => [1,6,4,2,5,3] => 2
[7,6,5,3,1,4,2] => [6,5,3,1,4,2] => [1,6,2,5,4,3] => 2
[7,6,5,3,2,1,4] => [6,5,3,2,1,4] => [1,6,4,2,5,3] => 2
[7,6,5,3,2,4,1] => [6,5,3,2,4,1] => [1,6,2,5,4,3] => 2
[7,6,5,3,4,1,2] => [6,5,3,4,1,2] => [1,6,2,5,3,4] => 2
[7,6,5,3,4,2,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => 2
[7,6,5,4,1,2,3] => [6,5,4,1,2,3] => [1,6,3,4,2,5] => 2
[7,6,5,4,1,3,2] => [6,5,4,1,3,2] => [1,6,2,5,3,4] => 2
[7,6,5,4,2,1,3] => [6,5,4,2,1,3] => [1,6,3,4,2,5] => 2
[7,6,5,4,2,3,1] => [6,5,4,2,3,1] => [1,6,2,5,3,4] => 2
[7,6,5,4,3,1,2] => [6,5,4,3,1,2] => [1,6,2,5,3,4] => 2
[7,6,5,4,3,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => 2
[8,6,7,4,5,3,2,1] => [6,7,4,5,3,2,1] => [1,6,2,7,3,4,5] => 2
[6,7,8,3,4,5,2,1] => [6,7,3,4,5,2,1] => [1,6,2,7,3,4,5] => 2
[7,8,3,2,4,5,6,1] => [7,3,2,4,5,6,1] => [1,7,2,3,4,5,6] => 1
[5,2,3,4,6,7,8,1] => [5,2,3,4,6,7,1] => [1,5,6,7,2,3,4] => 1
[3,4,2,5,6,7,8,1] => [3,4,2,5,6,7,1] => [1,3,2,4,5,6,7] => 1
[2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 0
[7,8,3,4,5,6,1,2] => [7,3,4,5,6,1,2] => [1,7,2,3,4,5,6] => 1
[6,7,4,5,3,8,1,2] => [6,7,4,5,3,1,2] => [1,6,2,7,3,4,5] => 2
[8,6,7,4,5,1,2,3] => [6,7,4,5,1,2,3] => [1,6,2,7,3,4,5] => 2
[6,7,4,5,8,1,2,3] => [6,7,4,5,1,2,3] => [1,6,2,7,3,4,5] => 2
[7,8,2,1,3,4,5,6] => [7,2,1,3,4,5,6] => [1,7,6,5,4,3,2] => 1
[8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => 1
[7,8,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => 1
[8,2,3,4,1,5,6,7] => [2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => 0
[8,3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[8,2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[8,3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[8,2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,5,6,7,1,8] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 0
[7,2,1,3,4,5,6,8] => [7,2,1,3,4,5,6] => [1,7,6,5,4,3,2] => 1
[7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => 1
[2,3,4,5,6,1,7,8] => [2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,5,1,6,7,8] => [2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,5,6,7,8] => [2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => 0
[3,4,1,2,5,6,7,8] => [3,4,1,2,5,6,7] => [1,3,2,4,5,6,7] => 1
[3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[3,1,2,4,5,6,7,8] => [3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[4,3,2,8,7,6,5,1] => [4,3,2,7,6,5,1] => [1,4,7,2,3,5,6] => 1
[2,3,4,5,6,8,7,1] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 0
[4,3,2,7,6,5,8,1] => [4,3,2,7,6,5,1] => [1,4,7,2,3,5,6] => 1
[1,3,4,5,7,8,6,2] => [1,3,4,5,7,6,2] => [1,2,3,4,5,7,6] => 1
[1,3,4,5,6,8,7,2] => [1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => 0
[1,3,4,5,6,7,8,2] => [1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => 0
[2,1,6,7,8,5,4,3] => [2,1,6,7,5,4,3] => [1,2,3,6,4,7,5] => 2
[2,1,6,7,5,8,4,3] => [2,1,6,7,5,4,3] => [1,2,3,6,4,7,5] => 2
[2,1,4,5,8,7,6,3] => [2,1,4,5,7,6,3] => [1,2,3,4,5,7,6] => 1
[2,1,4,5,7,8,6,3] => [2,1,4,5,7,6,3] => [1,2,3,4,5,7,6] => 1
[2,1,4,5,6,7,8,3] => [2,1,4,5,6,7,3] => [1,2,3,4,5,6,7] => 0
[1,2,6,7,8,5,4,3] => [1,2,6,7,5,4,3] => [1,2,3,6,4,7,5] => 2
[1,2,4,6,7,8,5,3] => [1,2,4,6,7,5,3] => [1,2,3,4,6,5,7] => 1
[1,2,4,5,6,7,8,3] => [1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => 0
[3,2,1,5,6,8,7,4] => [3,2,1,5,6,7,4] => [1,3,2,4,5,6,7] => 1
[3,2,1,5,6,7,8,4] => [3,2,1,5,6,7,4] => [1,3,2,4,5,6,7] => 1
[1,2,3,6,8,7,5,4] => [1,2,3,6,7,5,4] => [1,2,3,4,6,5,7] => 1
[1,2,3,6,7,8,5,4] => [1,2,3,6,7,5,4] => [1,2,3,4,6,5,7] => 1
[1,2,3,5,8,7,6,4] => [1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => 1
[1,2,3,5,7,8,6,4] => [1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => 1
[1,2,3,5,6,8,7,4] => [1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[1,2,3,6,7,5,8,4] => [1,2,3,6,7,5,4] => [1,2,3,4,6,5,7] => 1
[1,2,3,5,7,6,8,4] => [1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => 1
[1,2,3,5,6,7,8,4] => [1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[3,4,2,1,6,8,7,5] => [3,4,2,1,6,7,5] => [1,3,2,4,5,6,7] => 1
[3,4,2,1,6,7,8,5] => [3,4,2,1,6,7,5] => [1,3,2,4,5,6,7] => 1
[2,3,4,1,8,7,6,5] => [2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => 1
[2,3,4,1,7,8,6,5] => [2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => 1
[2,3,4,1,6,8,7,5] => [2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,7,6,8,5] => [2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => 1
[2,3,4,1,6,7,8,5] => [2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => 0
[1,3,4,2,8,7,6,5] => [1,3,4,2,7,6,5] => [1,2,3,4,5,7,6] => 1
[1,3,4,2,7,6,8,5] => [1,3,4,2,7,6,5] => [1,2,3,4,5,7,6] => 1
[1,3,4,2,6,7,8,5] => [1,3,4,2,6,7,5] => [1,2,3,4,5,6,7] => 0
[2,1,4,3,8,7,6,5] => [2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => 1
[2,1,4,3,7,8,6,5] => [2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => 1
[2,1,4,3,6,8,7,5] => [2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => 0
[2,1,4,3,7,6,8,5] => [2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => 1
[2,1,4,3,6,7,8,5] => [2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => 0
[1,2,4,3,8,7,6,5] => [1,2,4,3,7,6,5] => [1,2,3,4,5,7,6] => 1
[1,2,4,3,7,6,8,5] => [1,2,4,3,7,6,5] => [1,2,3,4,5,7,6] => 1
[1,2,4,3,6,7,8,5] => [1,2,4,3,6,7,5] => [1,2,3,4,5,6,7] => 0
[3,2,1,4,6,7,8,5] => [3,2,1,4,6,7,5] => [1,3,2,4,5,6,7] => 1
[2,3,1,4,8,7,6,5] => [2,3,1,4,7,6,5] => [1,2,3,4,5,7,6] => 1
[2,3,1,4,7,6,8,5] => [2,3,1,4,7,6,5] => [1,2,3,4,5,7,6] => 1
[2,3,1,4,6,7,8,5] => [2,3,1,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[1,3,2,4,8,7,6,5] => [1,3,2,4,7,6,5] => [1,2,3,4,5,7,6] => 1
[1,3,2,4,7,6,8,5] => [1,3,2,4,7,6,5] => [1,2,3,4,5,7,6] => 1
[1,3,2,4,6,7,8,5] => [1,3,2,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[2,1,3,4,8,7,6,5] => [2,1,3,4,7,6,5] => [1,2,3,4,5,7,6] => 1
[2,1,3,4,7,8,6,5] => [2,1,3,4,7,6,5] => [1,2,3,4,5,7,6] => 1
[2,1,3,4,7,6,8,5] => [2,1,3,4,7,6,5] => [1,2,3,4,5,7,6] => 1
[2,1,3,4,6,7,8,5] => [2,1,3,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,8,7,6,5] => [1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => 1
[1,2,3,4,7,8,6,5] => [1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => 1
[1,2,3,4,7,6,8,5] => [1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => 1
[1,2,3,4,6,7,8,5] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[3,4,2,5,1,8,7,6] => [3,4,2,5,1,7,6] => [1,3,2,4,5,6,7] => 1
[2,3,4,5,1,8,7,6] => [2,3,4,5,1,7,6] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,5,8,7,6] => [2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,5,7,8,6] => [2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => 0
[3,2,1,4,5,8,7,6] => [3,2,1,4,5,7,6] => [1,3,2,4,5,6,7] => 1
[2,3,1,4,5,7,8,6] => [2,3,1,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,5,7,8,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[2,3,4,5,6,1,8,7] => [2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,6,5,3,8,7] => [2,1,4,6,5,3,7] => [1,2,3,4,6,5,7] => 1
[2,1,4,5,6,3,8,7] => [2,1,4,5,6,3,7] => [1,2,3,4,5,6,7] => 0
[3,4,2,1,6,5,8,7] => [3,4,2,1,6,5,7] => [1,3,2,4,5,6,7] => 1
[2,3,4,1,6,5,8,7] => [2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,5,6,8,7] => [2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,5,7,6,1,8] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 1
[1,3,4,6,7,5,2,8] => [1,3,4,6,7,5,2] => [1,2,3,4,6,5,7] => 1
[1,3,4,5,7,6,2,8] => [1,3,4,5,7,6,2] => [1,2,3,4,5,7,6] => 1
[2,1,6,7,5,4,3,8] => [2,1,6,7,5,4,3] => [1,2,3,6,4,7,5] => 2
[2,3,1,5,6,7,4,8] => [2,3,1,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,7,6,5,8] => [2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => 1
[2,3,4,1,6,7,5,8] => [2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => 0
[1,3,4,2,6,7,5,8] => [1,3,4,2,6,7,5] => [1,2,3,4,5,6,7] => 0
[3,2,1,5,4,7,6,8] => [3,2,1,5,4,7,6] => [1,3,2,4,5,6,7] => 1
[2,3,1,5,4,7,6,8] => [2,3,1,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,5,7,6,8] => [2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[2,3,4,6,5,1,7,8] => [2,3,4,6,5,1,7] => [1,2,3,4,6,5,7] => 1
[1,2,4,6,5,3,7,8] => [1,2,4,6,5,3,7] => [1,2,3,4,6,5,7] => 1
[2,3,4,1,6,5,7,8] => [2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,8,6,7,5] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[1,2,3,5,8,6,7,4] => [1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[1,2,3,8,5,6,7,4] => [1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[1,2,3,8,5,7,6,4] => [1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => 1
[1,2,3,8,6,7,5,4] => [1,2,3,6,7,5,4] => [1,2,3,4,6,5,7] => 1
[1,2,4,5,8,6,7,3] => [1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => 0
[2,1,3,8,5,7,6,4] => [2,1,3,5,7,6,4] => [1,2,3,4,5,7,6] => 1
[2,1,4,3,8,6,7,5] => [2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => 0
[2,1,4,5,8,6,7,3] => [2,1,4,5,6,7,3] => [1,2,3,4,5,6,7] => 0
[2,3,1,8,6,7,5,4] => [2,3,1,6,7,5,4] => [1,2,3,4,6,5,7] => 1
[2,3,4,1,8,6,7,5] => [2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => 0
[2,3,4,8,5,6,7,1] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 0
[2,3,4,8,5,7,6,1] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 1
[2,3,4,8,6,7,5,1] => [2,3,4,6,7,5,1] => [1,2,3,4,6,5,7] => 1
[2,8,3,4,5,6,7,1] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 0
[3,2,1,5,8,6,7,4] => [3,2,1,5,6,7,4] => [1,3,2,4,5,6,7] => 1
[3,2,1,8,5,6,7,4] => [3,2,1,5,6,7,4] => [1,3,2,4,5,6,7] => 1
[3,2,7,4,6,5,8,1] => [3,2,7,4,6,5,1] => [1,3,7,2,4,5,6] => 1
[3,2,7,5,4,6,1,8] => [3,2,7,5,4,6,1] => [1,3,7,2,4,5,6] => 1
[4,2,3,7,5,6,8,1] => [4,2,3,7,5,6,1] => [1,4,7,2,3,5,6] => 1
[4,2,3,8,7,6,5,1] => [4,2,3,7,6,5,1] => [1,4,7,2,3,5,6] => 1
[7,2,3,4,6,5,1,8] => [7,2,3,4,6,5,1] => [1,7,2,3,4,5,6] => 1
[5,2,4,3,7,6,8,1] => [5,2,4,3,7,6,1] => [1,5,7,2,3,4,6] => 1
[7,2,4,3,6,5,8,1] => [7,2,4,3,6,5,1] => [1,7,2,3,4,5,6] => 1
[4,3,2,7,5,6,8,1] => [4,3,2,7,5,6,1] => [1,4,7,2,3,5,6] => 1
[2,1,4,6,3,5,8,7] => [2,1,4,6,3,5,7] => [1,2,3,4,6,5,7] => 1
[2,1,4,3,6,8,5,7] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,6,3,8,5,7] => [2,1,4,6,3,5,7] => [1,2,3,4,6,5,7] => 1
[2,1,4,6,8,3,5,7] => [2,1,4,6,3,5,7] => [1,2,3,4,6,5,7] => 1
[2,1,4,3,7,5,8,6] => [2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[2,1,4,3,7,8,5,6] => [2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[2,1,4,5,7,3,8,6] => [2,1,4,5,7,3,6] => [1,2,3,4,5,7,6] => 1
[2,1,4,3,8,5,6,7] => [2,1,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,5,8,3,6,7] => [2,1,4,5,3,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,6,7,8,3,4,5] => [2,1,6,7,3,4,5] => [1,2,3,6,4,7,5] => 2
[2,1,3,6,7,8,4,5] => [2,1,3,6,7,4,5] => [1,2,3,4,6,5,7] => 1
[2,3,1,6,7,8,4,5] => [2,3,1,6,7,4,5] => [1,2,3,4,6,5,7] => 1
[2,3,1,6,4,8,5,7] => [2,3,1,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[2,3,1,6,8,4,5,7] => [2,3,1,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[2,3,4,1,6,8,5,7] => [2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,6,7,8,1,5] => [2,3,4,6,7,1,5] => [1,2,3,4,6,5,7] => 1
[2,3,4,1,7,5,8,6] => [2,3,4,1,7,5,6] => [1,2,3,4,5,7,6] => 1
[2,3,1,4,7,8,5,6] => [2,3,1,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[2,3,4,1,7,8,5,6] => [2,3,4,1,7,5,6] => [1,2,3,4,5,7,6] => 1
[2,3,4,1,7,5,6,8] => [2,3,4,1,7,5,6] => [1,2,3,4,5,7,6] => 1
[2,3,4,5,7,1,8,6] => [2,3,4,5,7,1,6] => [1,2,3,4,5,7,6] => 1
[2,3,4,5,7,8,1,6] => [2,3,4,5,7,1,6] => [1,2,3,4,5,7,6] => 1
[2,1,8,3,4,5,6,7] => [2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,8,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,3,8,4,5,6,7] => [2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,1,3,4,8,5,6,7] => [2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,1,4,8,5,6,7] => [2,3,1,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,8,5,6,7] => [2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,8,1,5,6,7] => [2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,1,5,8,6,7] => [2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,5,1,8,6,7] => [2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,5,8,1,6,7] => [2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,5,6,8,1,7] => [2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => 0
[3,4,1,2,6,5,8,7] => [3,4,1,2,6,5,7] => [1,3,2,4,5,6,7] => 1
[3,4,1,2,6,8,5,7] => [3,4,1,2,6,5,7] => [1,3,2,4,5,6,7] => 1
[3,4,1,2,6,7,8,5] => [3,4,1,2,6,7,5] => [1,3,2,4,5,6,7] => 1
[3,4,1,2,8,5,6,7] => [3,4,1,2,5,6,7] => [1,3,2,4,5,6,7] => 1
[3,4,1,5,8,2,6,7] => [3,4,1,5,2,6,7] => [1,3,2,4,5,6,7] => 1
[3,4,1,5,6,7,8,2] => [3,4,1,5,6,7,2] => [1,3,2,4,5,6,7] => 1
[1,3,2,5,4,8,6,7] => [1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,5,8,4,6,7] => [1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,6,4,8,5,7] => [1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[3,1,2,4,6,7,8,5] => [3,1,2,4,6,7,5] => [1,3,2,4,5,6,7] => 1
[1,3,4,6,7,2,8,5] => [1,3,4,6,7,2,5] => [1,2,3,4,6,5,7] => 1
[3,1,7,8,2,4,5,6] => [3,1,7,2,4,5,6] => [1,3,7,6,5,4,2] => 1
[1,3,4,5,7,8,2,6] => [1,3,4,5,7,2,6] => [1,2,3,4,5,7,6] => 1
[3,1,8,2,4,5,6,7] => [3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[1,3,2,8,4,5,6,7] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[3,1,2,4,8,5,6,7] => [3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[1,3,2,4,8,5,6,7] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,4,2,8,5,6,7] => [1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => 0
[3,1,2,4,5,8,6,7] => [3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[1,3,2,4,5,8,6,7] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,4,6,7,8,3,5] => [1,2,4,6,7,3,5] => [1,2,3,4,6,5,7] => 1
[4,1,2,7,8,3,5,6] => [4,1,2,7,3,5,6] => [1,4,7,6,5,3,2] => 1
[1,2,4,5,7,3,8,6] => [1,2,4,5,7,3,6] => [1,2,3,4,5,7,6] => 1
[1,2,4,3,8,5,6,7] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[5,1,2,3,6,7,8,4] => [5,1,2,3,6,7,4] => [1,5,6,7,4,3,2] => 1
[1,2,3,5,4,8,6,7] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[6,1,2,3,4,7,8,5] => [6,1,2,3,4,7,5] => [1,6,7,5,4,3,2] => 1
[1,2,3,6,7,4,8,5] => [1,2,3,6,7,4,5] => [1,2,3,4,6,5,7] => 1
[1,2,3,6,4,8,5,7] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[7,1,8,2,3,4,5,6] => [7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => 1
[7,1,2,8,3,4,5,6] => [7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => 1
[7,1,2,3,4,8,5,6] => [7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => 1
[7,1,2,3,4,5,8,6] => [7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => 1
[1,2,3,4,7,5,8,6] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,2,3,4,7,8,5,6] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,8,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,8,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,8,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[5,3,2,7,1,8,4,6] => [5,3,2,7,1,4,6] => [1,5,2,3,4,7,6] => 2
[2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,9] => [1,2,3,4,5,6,7,8,9] => 0
[2,1,4,3,6,5,10,9,8,7] => [2,1,4,3,6,5,9,8,7] => [1,2,3,4,5,6,7,9,8] => 1
[3,2,7,8,1,4,5,6] => [3,2,7,1,4,5,6] => [1,3,7,6,5,4,2] => 1
[3,8,2,7,1,4,5,6] => [3,2,7,1,4,5,6] => [1,3,7,6,5,4,2] => 1
[5,3,2,7,1,4,6,8] => [5,3,2,7,1,4,6] => [1,5,2,3,4,7,6] => 2
[6,3,7,2,5,1,4,8] => [6,3,7,2,5,1,4] => [1,6,2,3,7,4,5] => 2
[8,5,3,2,7,1,4,6] => [5,3,2,7,1,4,6] => [1,5,2,3,4,7,6] => 2
[6,8,3,7,2,5,1,4] => [6,3,7,2,5,1,4] => [1,6,2,3,7,4,5] => 2
[8,1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[5,1,2,3,8,7,4,6] => [5,1,2,3,7,4,6] => [1,5,7,6,4,3,2] => 1
[8,1,2,3,6,7,4,5] => [1,2,3,6,7,4,5] => [1,2,3,4,6,5,7] => 1
[4,1,2,8,7,3,5,6] => [4,1,2,7,3,5,6] => [1,4,7,6,5,3,2] => 1
[7,1,2,5,6,3,8,4] => [7,1,2,5,6,3,4] => [1,7,4,5,6,3,2] => 2
[2,8,1,3,4,7,5,6] => [2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[5,8,1,2,3,7,4,6] => [5,1,2,3,7,4,6] => [1,5,7,6,4,3,2] => 1
[8,4,1,2,7,3,5,6] => [4,1,2,7,3,5,6] => [1,4,7,6,5,3,2] => 1
[2,3,8,1,6,7,4,5] => [2,3,1,6,7,4,5] => [1,2,3,4,6,5,7] => 1
[5,3,4,1,6,7,8,2] => [5,3,4,1,6,7,2] => [1,5,6,7,2,3,4] => 1
[2,3,4,8,1,7,5,6] => [2,3,4,1,7,5,6] => [1,2,3,4,5,7,6] => 1
[6,3,4,5,1,7,8,2] => [6,3,4,5,1,7,2] => [1,6,7,2,3,4,5] => 1
[2,3,4,8,6,1,5,7] => [2,3,4,6,1,5,7] => [1,2,3,4,6,5,7] => 1
[7,3,4,5,6,1,8,2] => [7,3,4,5,6,1,2] => [1,7,2,3,4,5,6] => 1
[2,3,4,5,8,7,1,6] => [2,3,4,5,7,1,6] => [1,2,3,4,5,7,6] => 1
[2,3,4,8,6,7,1,5] => [2,3,4,6,7,1,5] => [1,2,3,4,6,5,7] => 1
[9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[8,1,2,3,4,5,6,9,7] => [8,1,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => 1
[9,1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[7,1,2,3,4,5,8,9,6] => [7,1,2,3,4,5,8,6] => [1,7,8,6,5,4,3,2] => 1
[6,1,2,3,4,9,8,5,7] => [6,1,2,3,4,8,5,7] => [1,6,8,7,5,4,3,2] => 1
[9,1,2,3,4,7,8,5,6] => [1,2,3,4,7,8,5,6] => [1,2,3,4,5,7,6,8] => 1
[6,1,2,3,4,7,8,9,5] => [6,1,2,3,4,7,8,5] => [1,6,7,8,5,4,3,2] => 1
[8,1,2,3,9,4,5,6,7] => [8,1,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => 1
[5,1,2,3,9,8,4,6,7] => [5,1,2,3,8,4,6,7] => [1,5,8,7,6,4,3,2] => 1
[2,9,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[9,3,1,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => 1
[8,9,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => 1
[2,3,4,5,6,7,9,1,8] => [2,3,4,5,6,7,1,8] => [1,2,3,4,5,6,7,8] => 0
[2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8] => 0
[2,1,6,7,8,4,3,5] => [2,1,6,7,4,3,5] => [1,2,3,6,4,7,5] => 2
[2,1,6,7,8,5,3,4] => [2,1,6,7,5,3,4] => [1,2,3,6,4,7,5] => 2
[2,1,4,3,6,5,9,10,8,7] => [2,1,4,3,6,5,9,8,7] => [1,2,3,4,5,6,7,9,8] => 1
[5,3,4,8,6,7,1,2] => [5,3,4,6,7,1,2] => [1,5,7,2,3,4,6] => 1
[6,2,8,1,3,4,7,5] => [6,2,1,3,4,7,5] => [1,6,7,5,4,3,2] => 1
[2,1,8,6,7,3,4,5] => [2,1,6,7,3,4,5] => [1,2,3,6,4,7,5] => 2
[5,3,1,7,2,8,4,6] => [5,3,1,7,2,4,6] => [1,5,2,3,4,7,6] => 2
[2,1,4,3,8,7,5,6] => [2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[2,1,6,8,7,3,4,5] => [2,1,6,7,3,4,5] => [1,2,3,6,4,7,5] => 2
[5,3,2,7,1,8,6,4] => [5,3,2,7,1,6,4] => [1,5,2,3,4,7,6] => 2
[5,3,2,7,1,6,8,4] => [5,3,2,7,1,6,4] => [1,5,2,3,4,7,6] => 2
[5,3,2,7,1,6,4,8] => [5,3,2,7,1,6,4] => [1,5,2,3,4,7,6] => 2
[5,3,2,7,1,4,8,6] => [5,3,2,7,1,4,6] => [1,5,2,3,4,7,6] => 2
[6,1,8,2,3,7,5,4] => [6,1,2,3,7,5,4] => [1,6,5,7,4,3,2] => 2
[6,2,8,1,3,7,5,4] => [6,2,1,3,7,5,4] => [1,6,5,7,4,3,2] => 2
[6,3,8,4,7,5,1,2] => [6,3,4,7,5,1,2] => [1,6,2,3,4,7,5] => 2
[5,2,4,8,7,1,6,3] => [5,2,4,7,1,6,3] => [1,5,2,3,4,7,6] => 2
[5,1,4,8,7,2,6,3] => [5,1,4,7,2,6,3] => [1,5,2,3,4,7,6] => 2
[4,3,5,8,7,6,1,2] => [4,3,5,7,6,1,2] => [1,4,7,2,3,5,6] => 1
[8,1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[2,1,8,3,5,4,7,6] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[3,1,8,2,5,4,7,6] => [3,1,2,5,4,7,6] => [1,3,2,4,5,6,7] => 1
[4,1,8,2,6,3,7,5] => [4,1,2,6,3,7,5] => [1,4,6,7,5,3,2] => 1
[2,1,4,3,8,5,7,6] => [2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[5,1,8,3,7,2,6,4] => [5,1,3,7,2,6,4] => [1,5,2,3,4,7,6] => 2
[7,2,6,3,8,1,5,4] => [7,2,6,3,1,5,4] => [1,7,4,3,6,5,2] => 2
[6,7,4,8,3,5,2,1] => [6,7,4,3,5,2,1] => [1,6,2,7,3,4,5] => 2
[6,7,2,8,4,5,1,3] => [6,7,2,4,5,1,3] => [1,6,2,7,3,4,5] => 2
[7,2,4,5,8,3,6,1] => [7,2,4,5,3,6,1] => [1,7,2,3,4,5,6] => 1
[8,1,2,4,5,6,3,7] => [1,2,4,5,6,3,7] => [1,2,3,4,5,6,7] => 0
[5,3,4,7,1,2,8,6] => [5,3,4,7,1,2,6] => [1,5,2,3,4,7,6] => 2
[5,3,1,7,8,2,4,6] => [5,3,1,7,2,4,6] => [1,5,2,3,4,7,6] => 2
[1,6,4,7,8,5,2,3] => [1,6,4,7,5,2,3] => [1,2,6,3,4,7,5] => 2
[8,6,1,7,3,5,2,4] => [6,1,7,3,5,2,4] => [1,6,2,3,7,4,5] => 2
[8,7,1,6,5,3,2,4] => [7,1,6,5,3,2,4] => [1,7,4,5,3,6,2] => 3
[5,1,8,2,7,6,4,3] => [5,1,2,7,6,4,3] => [1,5,6,4,7,3,2] => 2
[7,1,6,8,2,4,5,3] => [7,1,6,2,4,5,3] => [1,7,3,6,5,4,2] => 2
[3,1,8,7,2,4,5,6] => [3,1,7,2,4,5,6] => [1,3,7,6,5,4,2] => 1
[7,1,8,6,2,4,5,3] => [7,1,6,2,4,5,3] => [1,7,3,6,5,4,2] => 2
[8,5,7,4,3,2,6,1] => [5,7,4,3,2,6,1] => [1,5,2,7,3,4,6] => 2
[8,5,7,4,2,1,6,3] => [5,7,4,2,1,6,3] => [1,5,2,7,3,4,6] => 2
[1,3,6,7,5,8,2,4] => [1,3,6,7,5,2,4] => [1,2,3,6,4,7,5] => 2
[3,8,4,2,5,6,7,1] => [3,4,2,5,6,7,1] => [1,3,2,4,5,6,7] => 1
[2,1,4,8,3,6,7,5] => [2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => 0
[8,3,1,2,5,6,7,4] => [3,1,2,5,6,7,4] => [1,3,2,4,5,6,7] => 1
[3,1,8,2,5,6,7,4] => [3,1,2,5,6,7,4] => [1,3,2,4,5,6,7] => 1
[2,3,8,1,5,6,7,4] => [2,3,1,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[3,8,2,1,5,6,7,4] => [3,2,1,5,6,7,4] => [1,3,2,4,5,6,7] => 1
[2,8,1,3,5,6,7,4] => [2,1,3,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[8,1,2,3,5,6,7,4] => [1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[2,1,8,3,4,6,7,5] => [2,1,3,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[5,7,8,4,3,6,2,1] => [5,7,4,3,6,2,1] => [1,5,6,2,7,3,4] => 2
[3,4,8,1,5,6,7,2] => [3,4,1,5,6,7,2] => [1,3,2,4,5,6,7] => 1
[3,4,2,8,5,6,7,1] => [3,4,2,5,6,7,1] => [1,3,2,4,5,6,7] => 1
[8,3,4,1,5,6,7,2] => [3,4,1,5,6,7,2] => [1,3,2,4,5,6,7] => 1
[6,3,7,4,5,8,2,1] => [6,3,7,4,5,2,1] => [1,6,2,3,7,4,5] => 2
[5,7,1,4,8,6,2,3] => [5,7,1,4,6,2,3] => [1,5,6,2,7,3,4] => 2
[6,2,8,7,4,5,1,3] => [6,2,7,4,5,1,3] => [1,6,2,3,7,4,5] => 2
[6,1,7,5,3,2,8,4] => [6,1,7,5,3,2,4] => [1,6,2,3,7,4,5] => 2
[3,2,8,7,1,4,5,6] => [3,2,7,1,4,5,6] => [1,3,7,6,5,4,2] => 1
[8,4,2,1,7,3,5,6] => [4,2,1,7,3,5,6] => [1,4,7,6,5,3,2] => 1
[3,2,7,1,8,4,5,6] => [3,2,7,1,4,5,6] => [1,3,7,6,5,4,2] => 1
[4,8,2,1,7,3,5,6] => [4,2,1,7,3,5,6] => [1,4,7,6,5,3,2] => 1
[5,7,4,6,2,8,3,1] => [5,7,4,6,2,3,1] => [1,5,2,7,3,4,6] => 2
[5,8,2,4,6,7,3,1] => [5,2,4,6,7,3,1] => [1,5,7,2,3,4,6] => 1
[2,1,4,8,3,7,6,5] => [2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => 1
[2,3,8,1,6,7,5,4] => [2,3,1,6,7,5,4] => [1,2,3,4,6,5,7] => 1
[8,7,1,6,3,4,2,5] => [7,1,6,3,4,2,5] => [1,7,5,4,3,6,2] => 2
[2,3,4,1,8,5,7,6] => [2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => 0
[6,3,4,1,5,7,8,2] => [6,3,4,1,5,7,2] => [1,6,7,2,3,4,5] => 1
[5,7,1,6,8,2,4,3] => [5,7,1,6,2,4,3] => [1,5,2,7,3,4,6] => 2
[2,3,8,1,4,6,7,5] => [2,3,1,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[6,3,8,4,2,5,7,1] => [6,3,4,2,5,7,1] => [1,6,7,2,3,4,5] => 1
[2,1,4,8,3,5,7,6] => [2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[3,8,2,1,4,6,5,7] => [3,2,1,4,6,5,7] => [1,3,2,4,5,6,7] => 1
[2,8,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[4,1,8,3,6,5,7,2] => [4,1,3,6,5,7,2] => [1,4,6,7,2,3,5] => 1
[7,1,6,5,8,3,2,4] => [7,1,6,5,3,2,4] => [1,7,4,5,3,6,2] => 3
[7,8,3,4,5,1,6,2] => [7,3,4,5,1,6,2] => [1,7,2,3,4,5,6] => 1
[7,8,2,1,5,3,4,6] => [7,2,1,5,3,4,6] => [1,7,6,4,5,3,2] => 2
[6,1,3,4,5,8,7,2] => [6,1,3,4,5,7,2] => [1,6,7,2,3,4,5] => 1
[5,7,2,4,1,6,3,8] => [5,7,2,4,1,6,3] => [1,5,2,7,3,4,6] => 2
[3,1,7,4,5,6,8,2] => [3,1,7,4,5,6,2] => [1,3,7,2,4,5,6] => 1
[6,3,7,5,8,1,2,4] => [6,3,7,5,1,2,4] => [1,6,2,3,7,4,5] => 2
[6,3,7,4,8,5,1,2] => [6,3,7,4,5,1,2] => [1,6,2,3,7,4,5] => 2
[6,3,7,8,5,1,2,4] => [6,3,7,5,1,2,4] => [1,6,2,3,7,4,5] => 2
[6,7,1,4,5,8,2,3] => [6,7,1,4,5,2,3] => [1,6,2,7,3,4,5] => 2
[7,3,8,4,1,6,5,2] => [7,3,4,1,6,5,2] => [1,7,2,3,4,5,6] => 1
[2,3,4,5,6,7,8,1,9] => [2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8] => 0
[2,3,4,5,6,8,9,1,7] => [2,3,4,5,6,8,1,7] => [1,2,3,4,5,6,8,7] => 1
[2,3,4,5,7,8,9,1,6] => [2,3,4,5,7,8,1,6] => [1,2,3,4,5,7,6,8] => 1
[2,3,4,5,6,7,8,9,10,1] => [2,3,4,5,6,7,8,9,1] => [1,2,3,4,5,6,7,8,9] => 0
[2,3,4,5,6,7,8,9,1,10] => [2,3,4,5,6,7,8,9,1] => [1,2,3,4,5,6,7,8,9] => 0
[2,3,4,5,6,7,1,8,9] => [2,3,4,5,6,7,1,8] => [1,2,3,4,5,6,7,8] => 0
[2,3,4,5,6,7,8,10,1,9] => [2,3,4,5,6,7,8,1,9] => [1,2,3,4,5,6,7,8,9] => 0
[2,3,4,5,6,1,9,7,8] => [2,3,4,5,6,1,7,8] => [1,2,3,4,5,6,7,8] => 0
[2,3,4,5,6,7,9,10,1,8] => [2,3,4,5,6,7,9,1,8] => [1,2,3,4,5,6,7,9,8] => 1
[2,3,4,5,1,8,9,6,7] => [2,3,4,5,1,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[2,3,4,1,7,8,9,5,6] => [2,3,4,1,7,8,5,6] => [1,2,3,4,5,7,6,8] => 1
[6,2,7,3,4,5,8,1] => [6,2,7,3,4,5,1] => [1,6,5,4,3,7,2] => 2
[4,2,5,7,3,6,8,1] => [4,2,5,7,3,6,1] => [1,4,7,2,3,5,6] => 1
[3,2,1,5,8,4,6,7] => [3,2,1,5,4,6,7] => [1,3,2,4,5,6,7] => 1
[5,3,2,8,7,1,4,6] => [5,3,2,7,1,4,6] => [1,5,2,3,4,7,6] => 2
[5,3,1,8,7,2,4,6] => [5,3,1,7,2,4,6] => [1,5,2,3,4,7,6] => 2
[6,8,3,7,5,1,2,4] => [6,3,7,5,1,2,4] => [1,6,2,3,7,4,5] => 2
[5,8,7,4,2,1,6,3] => [5,7,4,2,1,6,3] => [1,5,2,7,3,4,6] => 2
[1,8,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,3,2,8,4,6,5,7] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,8,4,6,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,8,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,8,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,8,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,8,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,2,3,8,4,7,5,6] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[1,3,2,8,4,7,5,6] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[5,7,8,4,1,6,2,3] => [5,7,4,1,6,2,3] => [1,5,6,2,7,3,4] => 2
[5,7,8,4,1,2,6,3] => [5,7,4,1,2,6,3] => [1,5,2,7,3,4,6] => 2
[6,7,8,1,5,4,2,3] => [6,7,1,5,4,2,3] => [1,6,2,7,3,4,5] => 2
[6,7,8,1,4,5,2,3] => [6,7,1,4,5,2,3] => [1,6,2,7,3,4,5] => 2
[7,2,8,5,1,6,4,3] => [7,2,5,1,6,4,3] => [1,7,3,5,6,4,2] => 2
[1,6,3,7,5,2,4,8] => [1,6,3,7,5,2,4] => [1,2,6,3,4,7,5] => 2
[6,3,7,5,2,1,8,4] => [6,3,7,5,2,1,4] => [1,6,2,3,7,4,5] => 2
[2,3,4,8,6,5,1,7] => [2,3,4,6,5,1,7] => [1,2,3,4,6,5,7] => 1
[5,2,4,7,1,8,3,6] => [5,2,4,7,1,3,6] => [1,5,2,3,4,7,6] => 2
[5,1,4,7,2,8,6,3] => [5,1,4,7,2,6,3] => [1,5,2,3,4,7,6] => 2
[1,8,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[7,2,1,5,6,3,4,8] => [7,2,1,5,6,3,4] => [1,7,4,5,6,3,2] => 2
[3,2,1,8,5,4,7,6] => [3,2,1,5,4,7,6] => [1,3,2,4,5,6,7] => 1
[2,3,8,1,5,4,7,6] => [2,3,1,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[5,2,1,7,6,8,4,3] => [5,2,1,7,6,4,3] => [1,5,6,4,7,3,2] => 2
[1,8,3,2,6,7,4,5] => [1,3,2,6,7,4,5] => [1,2,3,4,6,5,7] => 1
[3,4,7,8,1,6,5,2] => [3,4,7,1,6,5,2] => [1,3,7,2,4,5,6] => 1
[4,8,3,1,7,5,6,2] => [4,3,1,7,5,6,2] => [1,4,7,2,3,5,6] => 1
[8,1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[8,1,3,4,2,6,7,5] => [1,3,4,2,6,7,5] => [1,2,3,4,5,6,7] => 0
[8,1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[3,4,2,5,6,8,1,7] => [3,4,2,5,6,1,7] => [1,3,2,4,5,6,7] => 1
[5,1,2,7,8,6,4,3] => [5,1,2,7,6,4,3] => [1,5,6,4,7,3,2] => 2
[8,5,3,1,7,2,6,4] => [5,3,1,7,2,6,4] => [1,5,2,3,4,7,6] => 2
[8,5,3,2,7,1,6,4] => [5,3,2,7,1,6,4] => [1,5,2,3,4,7,6] => 2
[8,5,2,3,7,1,6,4] => [5,2,3,7,1,6,4] => [1,5,2,3,4,7,6] => 2
[7,3,4,1,8,5,6,2] => [7,3,4,1,5,6,2] => [1,7,2,3,4,5,6] => 1
[5,2,1,3,8,7,4,6] => [5,2,1,3,7,4,6] => [1,5,7,6,4,3,2] => 1
[8,5,7,3,4,1,6,2] => [5,7,3,4,1,6,2] => [1,5,2,7,3,4,6] => 2
[4,1,8,5,7,3,6,2] => [4,1,5,7,3,6,2] => [1,4,7,2,3,5,6] => 1
[6,2,7,3,5,1,8,4] => [6,2,7,3,5,1,4] => [1,6,2,3,7,4,5] => 2
[8,5,7,3,6,2,4,1] => [5,7,3,6,2,4,1] => [1,5,2,7,3,4,6] => 2
[8,5,7,4,6,2,3,1] => [5,7,4,6,2,3,1] => [1,5,2,7,3,4,6] => 2
[6,2,7,3,8,4,5,1] => [6,2,7,3,4,5,1] => [1,6,5,4,3,7,2] => 2
[3,1,7,4,8,5,6,2] => [3,1,7,4,5,6,2] => [1,3,7,2,4,5,6] => 1
[7,3,8,4,5,1,6,2] => [7,3,4,5,1,6,2] => [1,7,2,3,4,5,6] => 1
[5,7,3,6,1,4,8,2] => [5,7,3,6,1,4,2] => [1,5,2,7,3,4,6] => 2
[4,2,8,1,6,3,7,5] => [4,2,1,6,3,7,5] => [1,4,6,7,5,3,2] => 1
[7,1,3,5,6,4,2,8] => [7,1,3,5,6,4,2] => [1,7,2,3,4,5,6] => 1
[6,8,1,2,3,4,7,5] => [6,1,2,3,4,7,5] => [1,6,7,5,4,3,2] => 1
[5,1,8,2,3,6,7,4] => [5,1,2,3,6,7,4] => [1,5,6,7,4,3,2] => 1
[6,8,2,3,5,4,7,1] => [6,2,3,5,4,7,1] => [1,6,7,2,3,4,5] => 1
[5,3,4,1,8,6,7,2] => [5,3,4,1,6,7,2] => [1,5,6,7,2,3,4] => 1
[4,2,8,5,7,6,3,1] => [4,2,5,7,6,3,1] => [1,4,7,2,3,5,6] => 1
[5,8,7,4,3,6,1,2] => [5,7,4,3,6,1,2] => [1,5,6,2,7,3,4] => 2
[6,3,8,7,2,5,1,4] => [6,3,7,2,5,1,4] => [1,6,2,3,7,4,5] => 2
[5,8,7,4,1,6,2,3] => [5,7,4,1,6,2,3] => [1,5,6,2,7,3,4] => 2
[6,1,3,7,5,2,4,8] => [6,1,3,7,5,2,4] => [1,6,2,3,4,7,5] => 2
[3,4,7,5,1,8,6,2] => [3,4,7,5,1,6,2] => [1,3,7,2,4,5,6] => 1
[5,2,8,1,3,7,4,6] => [5,2,1,3,7,4,6] => [1,5,7,6,4,3,2] => 1
[6,3,7,4,5,1,8,2] => [6,3,7,4,5,1,2] => [1,6,2,3,7,4,5] => 2
[2,6,3,7,5,8,1,4] => [2,6,3,7,5,1,4] => [1,2,6,3,4,7,5] => 2
[5,7,4,6,2,8,1,3] => [5,7,4,6,2,1,3] => [1,5,2,7,3,4,6] => 2
[5,7,3,4,6,1,8,2] => [5,7,3,4,6,1,2] => [1,5,6,2,7,3,4] => 2
[5,2,8,4,7,1,6,3] => [5,2,4,7,1,6,3] => [1,5,2,3,4,7,6] => 2
[5,7,4,1,6,2,3,8] => [5,7,4,1,6,2,3] => [1,5,6,2,7,3,4] => 2
[6,3,2,7,8,5,1,4] => [6,3,2,7,5,1,4] => [1,6,2,3,4,7,5] => 2
[8,1,3,4,6,2,5,7] => [1,3,4,6,2,5,7] => [1,2,3,4,6,5,7] => 1
[4,8,3,5,6,1,7,2] => [4,3,5,6,1,7,2] => [1,4,6,7,2,3,5] => 1
[8,1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => [1,2,3,4,6,5,7] => 1
[8,2,3,1,6,5,4,7] => [2,3,1,6,5,4,7] => [1,2,3,4,6,5,7] => 1
[4,3,1,8,7,6,5,2] => [4,3,1,7,6,5,2] => [1,4,7,2,3,5,6] => 1
[5,2,8,1,7,6,4,3] => [5,2,1,7,6,4,3] => [1,5,6,4,7,3,2] => 2
[4,1,3,8,7,6,5,2] => [4,1,3,7,6,5,2] => [1,4,7,2,3,5,6] => 1
[8,2,1,3,6,5,4,7] => [2,1,3,6,5,4,7] => [1,2,3,4,6,5,7] => 1
[8,1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => [1,2,3,4,6,5,7] => 1
[4,1,2,6,3,8,7,5] => [4,1,2,6,3,7,5] => [1,4,6,7,5,3,2] => 1
[1,6,2,7,5,3,8,4] => [1,6,2,7,5,3,4] => [1,2,6,3,4,7,5] => 2
[4,1,2,8,6,3,7,5] => [4,1,2,6,3,7,5] => [1,4,6,7,5,3,2] => 1
[8,5,3,1,7,2,4,6] => [5,3,1,7,2,4,6] => [1,5,2,3,4,7,6] => 2
[5,7,1,6,2,4,3,8] => [5,7,1,6,2,4,3] => [1,5,2,7,3,4,6] => 2
[6,1,4,5,3,8,7,2] => [6,1,4,5,3,7,2] => [1,6,7,2,3,4,5] => 1
[6,1,4,5,3,7,8,2] => [6,1,4,5,3,7,2] => [1,6,7,2,3,4,5] => 1
[6,1,4,8,3,5,7,2] => [6,1,4,3,5,7,2] => [1,6,7,2,3,4,5] => 1
[7,1,4,5,3,8,6,2] => [7,1,4,5,3,6,2] => [1,7,2,3,4,5,6] => 1
[7,1,4,5,3,6,8,2] => [7,1,4,5,3,6,2] => [1,7,2,3,4,5,6] => 1
[2,3,4,1,8,6,5,7] => [2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => 0
[7,8,1,6,3,4,2,5] => [7,1,6,3,4,2,5] => [1,7,5,4,3,6,2] => 2
[2,3,4,1,8,7,5,6] => [2,3,4,1,7,5,6] => [1,2,3,4,5,7,6] => 1
[2,3,8,1,4,5,7,6] => [2,3,1,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[9,1,2,3,4,5,6,7,10,8] => [9,1,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => 1
[2,1,9,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[2,10,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[6,1,7,5,3,2,4,8] => [6,1,7,5,3,2,4] => [1,6,2,3,7,4,5] => 2
[7,1,8,2,6,4,3,5] => [7,1,2,6,4,3,5] => [1,7,5,4,6,3,2] => 2
[3,2,8,1,4,5,7,6] => [3,2,1,4,5,7,6] => [1,3,2,4,5,6,7] => 1
[8,1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[8,1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[8,2,3,1,5,6,4,7] => [2,3,1,5,6,4,7] => [1,2,3,4,5,6,7] => 0
[2,8,3,1,5,7,4,6] => [2,3,1,5,7,4,6] => [1,2,3,4,5,7,6] => 1
[4,3,1,7,6,8,5,2] => [4,3,1,7,6,5,2] => [1,4,7,2,3,5,6] => 1
[4,1,3,7,5,8,6,2] => [4,1,3,7,5,6,2] => [1,4,7,2,3,5,6] => 1
[2,1,8,3,4,7,6,5] => [2,1,3,4,7,6,5] => [1,2,3,4,5,7,6] => 1
[8,2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[1,8,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[1,2,8,3,4,6,7,5] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[6,1,7,8,4,5,2,3] => [6,1,7,4,5,2,3] => [1,6,2,3,7,4,5] => 2
[6,2,7,8,4,5,1,3] => [6,2,7,4,5,1,3] => [1,6,2,3,7,4,5] => 2
[6,2,7,8,5,4,1,3] => [6,2,7,5,4,1,3] => [1,6,2,3,7,4,5] => 2
[6,1,7,8,5,4,2,3] => [6,1,7,5,4,2,3] => [1,6,2,3,7,4,5] => 2
[5,8,1,4,7,2,3,6] => [5,1,4,7,2,3,6] => [1,5,2,3,4,7,6] => 2
[3,4,7,1,8,6,5,2] => [3,4,7,1,6,5,2] => [1,3,7,2,4,5,6] => 1
[6,3,7,5,2,8,1,4] => [6,3,7,5,2,1,4] => [1,6,2,3,7,4,5] => 2
[8,7,1,6,2,4,5,3] => [7,1,6,2,4,5,3] => [1,7,3,6,5,4,2] => 2
[1,8,6,3,7,5,2,4] => [1,6,3,7,5,2,4] => [1,2,6,3,4,7,5] => 2
[7,8,1,6,3,2,5,4] => [7,1,6,3,2,5,4] => [1,7,4,3,6,5,2] => 2
[4,2,8,5,7,3,6,1] => [4,2,5,7,3,6,1] => [1,4,7,2,3,5,6] => 1
[7,1,8,6,5,3,2,4] => [7,1,6,5,3,2,4] => [1,7,4,5,3,6,2] => 3
[6,8,3,7,4,5,1,2] => [6,3,7,4,5,1,2] => [1,6,2,3,7,4,5] => 2
[6,8,2,7,4,5,1,3] => [6,2,7,4,5,1,3] => [1,6,2,3,7,4,5] => 2
[6,8,1,7,4,5,2,3] => [6,1,7,4,5,2,3] => [1,6,2,3,7,4,5] => 2
[6,8,1,7,3,5,2,4] => [6,1,7,3,5,2,4] => [1,6,2,3,7,4,5] => 2
[6,8,2,7,3,5,1,4] => [6,2,7,3,5,1,4] => [1,6,2,3,7,4,5] => 2
[6,8,3,7,1,5,2,4] => [6,3,7,1,5,2,4] => [1,6,2,3,7,4,5] => 2
[1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[1,2,3,4,6,7,8,9,5] => [1,2,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 0
[1,2,3,5,6,7,8,9,4] => [1,2,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 0
[1,2,4,5,6,7,8,9,3] => [1,2,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => 0
[1,3,4,5,6,7,8,9,2] => [1,3,4,5,6,7,8,2] => [1,2,3,4,5,6,7,8] => 0
[1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => 0
[1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => 1
[1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,7,8,9] => 0
[1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,6,7,8,9] => 0
[1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,5,6,7,8,9] => 0
[1,2,5,4,6,7,8,9,3] => [1,2,5,4,6,7,8,3] => [1,2,3,5,6,7,8,4] => 1
[1,2,3,5,6,7,8,9,10,4] => [1,2,3,5,6,7,8,9,4] => [1,2,3,4,5,6,7,8,9] => 0
[1,2,4,5,6,7,8,9,10,3] => [1,2,4,5,6,7,8,9,3] => [1,2,3,4,5,6,7,8,9] => 0
[1,3,4,5,6,7,8,9,10,2] => [1,3,4,5,6,7,8,9,2] => [1,2,3,4,5,6,7,8,9] => 0
[6,7,4,8,3,5,1,2] => [6,7,4,3,5,1,2] => [1,6,2,7,3,4,5] => 2
[6,7,4,5,2,8,1,3] => [6,7,4,5,2,1,3] => [1,6,2,7,3,4,5] => 2
[5,7,4,6,2,3,1,8] => [5,7,4,6,2,3,1] => [1,5,2,7,3,4,6] => 2
[5,7,4,8,3,6,1,2] => [5,7,4,3,6,1,2] => [1,5,6,2,7,3,4] => 2
[5,7,4,8,2,6,1,3] => [5,7,4,2,6,1,3] => [1,5,6,2,7,3,4] => 2
[5,7,3,6,2,4,1,8] => [5,7,3,6,2,4,1] => [1,5,2,7,3,4,6] => 2
[6,7,4,8,2,5,1,3] => [6,7,4,2,5,1,3] => [1,6,2,7,3,4,5] => 2
[5,7,3,4,2,6,1,8] => [5,7,3,4,2,6,1] => [1,5,2,7,3,4,6] => 2
[6,3,2,8,7,4,1,5] => [6,3,2,7,4,1,5] => [1,6,2,3,4,7,5] => 2
[2,1,6,8,7,4,3,5] => [2,1,6,7,4,3,5] => [1,2,3,6,4,7,5] => 2
[2,1,8,6,7,5,3,4] => [2,1,6,7,5,3,4] => [1,2,3,6,4,7,5] => 2
[6,1,8,3,4,5,7,2] => [6,1,3,4,5,7,2] => [1,6,7,2,3,4,5] => 1
[7,1,4,3,5,6,8,2] => [7,1,4,3,5,6,2] => [1,7,2,3,4,5,6] => 1
[8,1,3,4,5,6,7,2] => [1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => 0
[6,3,2,7,5,1,8,4] => [6,3,2,7,5,1,4] => [1,6,2,3,4,7,5] => 2
[3,4,1,2,8,6,5,7] => [3,4,1,2,6,5,7] => [1,3,2,4,5,6,7] => 1
[8,7,2,6,3,4,1,5] => [7,2,6,3,4,1,5] => [1,7,5,4,3,6,2] => 2
[9,8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [1,8,2,7,3,6,4,5] => 3
[8,9,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [1,8,2,7,3,6,4,5] => 3
[8,7,9,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [1,8,2,7,3,6,4,5] => 3
[8,7,6,9,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [1,8,2,7,3,6,4,5] => 3
[8,7,6,5,9,4,3,2,1] => [8,7,6,5,4,3,2,1] => [1,8,2,7,3,6,4,5] => 3
[8,7,6,5,4,9,3,2,1] => [8,7,6,5,4,3,2,1] => [1,8,2,7,3,6,4,5] => 3
[8,7,6,5,4,3,9,2,1] => [8,7,6,5,4,3,2,1] => [1,8,2,7,3,6,4,5] => 3
[8,7,6,5,4,3,2,9,1] => [8,7,6,5,4,3,2,1] => [1,8,2,7,3,6,4,5] => 3
[8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1] => [1,8,2,7,3,6,4,5] => 3
[7,8,9,6,5,4,3,2,1] => [7,8,6,5,4,3,2,1] => [1,7,2,8,3,6,4,5] => 3
[8,6,7,9,5,4,3,2,1] => [8,6,7,5,4,3,2,1] => [1,8,2,6,3,7,4,5] => 3
[8,7,5,6,9,4,3,2,1] => [8,7,5,6,4,3,2,1] => [1,8,2,7,3,5,4,6] => 3
[8,7,6,4,5,9,3,2,1] => [8,7,6,4,5,3,2,1] => [1,8,2,7,3,6,4,5] => 3
[8,7,6,5,3,4,9,2,1] => [8,7,6,5,3,4,2,1] => [1,8,2,7,3,6,4,5] => 3
[8,7,6,5,4,2,3,9,1] => [8,7,6,5,4,2,3,1] => [1,8,2,7,3,6,4,5] => 3
[8,7,6,5,4,3,1,2,9] => [8,7,6,5,4,3,1,2] => [1,8,2,7,3,6,4,5] => 3
[6,2,1,8,3,4,7,5] => [6,2,1,3,4,7,5] => [1,6,7,5,4,3,2] => 1
[6,2,4,7,5,8,1,3] => [6,2,4,7,5,1,3] => [1,6,2,3,4,7,5] => 2
[1,2,8,4,3,5,6,7] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,8,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[8,1,2,4,6,5,3,7] => [1,2,4,6,5,3,7] => [1,2,3,4,6,5,7] => 1
[5,1,4,7,2,8,3,6] => [5,1,4,7,2,3,6] => [1,5,2,3,4,7,6] => 2
[3,1,2,8,4,6,7,5] => [3,1,2,4,6,7,5] => [1,3,2,4,5,6,7] => 1
[10,1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[10,1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,7,9,8] => 1
[9,1,2,3,4,10,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => 1
[9,1,10,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => 1
[10,9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => 1
[11,1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[10,1,2,3,4,5,6,7,8,11,9] => [10,1,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => 1
[8,1,2,3,4,5,6,9,10,7] => [8,1,2,3,4,5,6,9,7] => [1,8,9,7,6,5,4,3,2] => 1
[11,1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,8,10,9] => 1
[7,1,2,3,4,5,10,9,6,8] => [7,1,2,3,4,5,9,6,8] => [1,7,9,8,6,5,4,3,2] => 1
[10,1,2,3,4,5,11,6,7,8,9] => [10,1,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => 1
[10,1,2,11,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => 1
[11,10,1,2,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => 1
[5,7,8,4,2,6,1,3] => [5,7,4,2,6,1,3] => [1,5,6,2,7,3,4] => 2
[6,7,8,4,2,5,1,3] => [6,7,4,2,5,1,3] => [1,6,2,7,3,4,5] => 2
[8,7,6,4,5,3,2,1,9] => [8,7,6,4,5,3,2,1] => [1,8,2,7,3,6,4,5] => 3
[2,1,8,4,5,3,7,6] => [2,1,4,5,3,7,6] => [1,2,3,4,5,6,7] => 0
[8,5,7,3,6,1,4,2] => [5,7,3,6,1,4,2] => [1,5,2,7,3,4,6] => 2
[8,2,3,1,5,4,7,6] => [2,3,1,5,4,7,6] => [1,2,3,4,5,6,7] => 0
[8,5,7,2,6,1,4,3] => [5,7,2,6,1,4,3] => [1,5,2,7,3,4,6] => 2
[8,5,7,1,6,2,4,3] => [5,7,1,6,2,4,3] => [1,5,2,7,3,4,6] => 2
[8,5,7,4,6,1,3,2] => [5,7,4,6,1,3,2] => [1,5,2,7,3,4,6] => 2
[6,3,1,8,4,5,7,2] => [6,3,1,4,5,7,2] => [1,6,7,2,3,4,5] => 1
[3,2,7,8,4,6,5,1] => [3,2,7,4,6,5,1] => [1,3,7,2,4,5,6] => 1
[3,4,2,1,8,5,6,7] => [3,4,2,1,5,6,7] => [1,3,2,4,5,6,7] => 1
[7,1,3,8,4,6,5,2] => [7,1,3,4,6,5,2] => [1,7,2,3,4,5,6] => 1
[5,7,8,4,3,6,1,2] => [5,7,4,3,6,1,2] => [1,5,6,2,7,3,4] => 2
[7,3,2,8,5,4,6,1] => [7,3,2,5,4,6,1] => [1,7,2,3,4,5,6] => 1
[2,8,3,4,5,1,6,7] => [2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => 0
[7,2,3,8,5,4,6,1] => [7,2,3,5,4,6,1] => [1,7,2,3,4,5,6] => 1
[3,2,1,4,8,5,6,7] => [3,2,1,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[1,2,8,4,5,3,7,6] => [1,2,4,5,3,7,6] => [1,2,3,4,5,6,7] => 0
[1,2,4,8,5,3,7,6] => [1,2,4,5,3,7,6] => [1,2,3,4,5,6,7] => 0
[5,1,2,7,4,8,3,6] => [5,1,2,7,4,3,6] => [1,5,4,7,6,3,2] => 2
[2,8,1,4,3,7,6,5] => [2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => 1
[7,1,2,8,5,3,4,6] => [7,1,2,5,3,4,6] => [1,7,6,4,5,3,2] => 2
[5,8,1,3,7,2,4,6] => [5,1,3,7,2,4,6] => [1,5,2,3,4,7,6] => 2
[8,1,6,2,7,4,3,5] => [1,6,2,7,4,3,5] => [1,2,6,3,4,7,5] => 2
[7,1,2,8,6,4,3,5] => [7,1,2,6,4,3,5] => [1,7,5,4,6,3,2] => 2
[5,7,3,4,1,6,2,8] => [5,7,3,4,1,6,2] => [1,5,2,7,3,4,6] => 2
[9,2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[10,2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[9,2,3,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[3,4,2,5,6,7,8,9,1] => [3,4,2,5,6,7,8,1] => [1,3,2,4,5,6,7,8] => 1
[2,3,4,5,6,7,8,9,10,11,1] => [2,3,4,5,6,7,8,9,10,1] => [1,2,3,4,5,6,7,8,9,10] => 0
[5,8,7,4,3,6,2,1] => [5,7,4,3,6,2,1] => [1,5,6,2,7,3,4] => 2
[3,8,1,2,5,6,7,4] => [3,1,2,5,6,7,4] => [1,3,2,4,5,6,7] => 1
[5,8,7,4,2,6,1,3] => [5,7,4,2,6,1,3] => [1,5,6,2,7,3,4] => 2
[3,4,8,2,5,6,7,1] => [3,4,2,5,6,7,1] => [1,3,2,4,5,6,7] => 1
[3,4,1,8,5,6,7,2] => [3,4,1,5,6,7,2] => [1,3,2,4,5,6,7] => 1
[2,3,4,5,6,7,8,9,11,1,10] => [2,3,4,5,6,7,8,9,1,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[6,7,1,8,4,5,2,3] => [6,7,1,4,5,2,3] => [1,6,2,7,3,4,5] => 2
[8,1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => [1,2,3,4,5,7,6] => 1
[8,1,3,4,2,7,6,5] => [1,3,4,2,7,6,5] => [1,2,3,4,5,7,6] => 1
[8,1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => [1,2,3,4,5,7,6] => 1
[8,1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => 1
[2,1,4,6,5,8,3,7] => [2,1,4,6,5,3,7] => [1,2,3,4,6,5,7] => 1
[2,1,4,6,8,5,3,7] => [2,1,4,6,5,3,7] => [1,2,3,4,6,5,7] => 1
[6,2,4,8,7,3,1,5] => [6,2,4,7,3,1,5] => [1,6,2,3,4,7,5] => 2
[1,6,4,7,3,8,2,5] => [1,6,4,7,3,2,5] => [1,2,6,3,4,7,5] => 2
[8,5,1,3,7,2,4,6] => [5,1,3,7,2,4,6] => [1,5,2,3,4,7,6] => 2
[2,6,4,8,7,1,3,5] => [2,6,4,7,1,3,5] => [1,2,6,3,4,7,5] => 2
[1,6,4,8,7,2,3,5] => [1,6,4,7,2,3,5] => [1,2,6,3,4,7,5] => 2
[5,2,4,8,7,1,3,6] => [5,2,4,7,1,3,6] => [1,5,2,3,4,7,6] => 2
[5,1,4,8,7,2,3,6] => [5,1,4,7,2,3,6] => [1,5,2,3,4,7,6] => 2
[3,8,2,1,5,4,7,6] => [3,2,1,5,4,7,6] => [1,3,2,4,5,6,7] => 1
[8,3,2,1,5,4,6,7] => [3,2,1,5,4,6,7] => [1,3,2,4,5,6,7] => 1
[8,3,2,1,5,6,4,7] => [3,2,1,5,6,4,7] => [1,3,2,4,5,6,7] => 1
[8,3,2,1,4,6,5,7] => [3,2,1,4,6,5,7] => [1,3,2,4,5,6,7] => 1
[3,8,2,1,4,5,7,6] => [3,2,1,4,5,7,6] => [1,3,2,4,5,6,7] => 1
[3,2,8,1,4,6,7,5] => [3,2,1,4,6,7,5] => [1,3,2,4,5,6,7] => 1
[6,3,7,5,4,8,1,2] => [6,3,7,5,4,1,2] => [1,6,2,3,7,4,5] => 2
[7,8,1,6,5,3,2,4] => [7,1,6,5,3,2,4] => [1,7,4,5,3,6,2] => 3
[1,2,4,5,8,3,7,6] => [1,2,4,5,3,7,6] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[1,2,3,4,5,8,6,9,7] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[1,2,5,3,6,7,8,9,4] => [1,2,5,3,6,7,8,4] => [1,2,3,5,6,7,8,4] => 1
[9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => 1
[9,5,6,7,8,1,2,3,4] => [5,6,7,8,1,2,3,4] => [1,5,2,6,3,7,4,8] => 3
[7,8,9,4,5,6,1,2,3] => [7,8,4,5,6,1,2,3] => [1,7,2,8,3,4,5,6] => 2
[9,7,8,4,5,6,1,2,3] => [7,8,4,5,6,1,2,3] => [1,7,2,8,3,4,5,6] => 2
[9,7,8,5,6,3,4,1,2] => [7,8,5,6,3,4,1,2] => [1,7,2,8,3,5,4,6] => 3
[9,8,7,5,6,3,4,1,2] => [8,7,5,6,3,4,1,2] => [1,8,2,7,3,5,4,6] => 3
[9,8,7,6,5,3,4,1,2] => [8,7,6,5,3,4,1,2] => [1,8,2,7,3,6,4,5] => 3
[9,8,7,6,5,4,3,1,2] => [8,7,6,5,4,3,1,2] => [1,8,2,7,3,6,4,5] => 3
[9,10,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => 1
[6,3,7,2,5,1,8,4] => [6,3,7,2,5,1,4] => [1,6,2,3,7,4,5] => 2
[7,8,6,5,4,3,2,1,9] => [7,8,6,5,4,3,2,1] => [1,7,2,8,3,6,4,5] => 3
[7,6,8,5,4,3,2,1,9] => [7,6,8,5,4,3,2,1] => [1,7,2,6,3,8,4,5] => 3
[5,7,1,6,2,8,4,3] => [5,7,1,6,2,4,3] => [1,5,2,7,3,4,6] => 2
[5,7,3,6,2,8,4,1] => [5,7,3,6,2,4,1] => [1,5,2,7,3,4,6] => 2
[2,3,4,8,5,7,1,6] => [2,3,4,5,7,1,6] => [1,2,3,4,5,7,6] => 1
[2,1,4,5,8,7,3,6] => [2,1,4,5,7,3,6] => [1,2,3,4,5,7,6] => 1
[5,7,3,6,1,8,4,2] => [5,7,3,6,1,4,2] => [1,5,2,7,3,4,6] => 2
[2,1,4,5,8,6,3,7] => [2,1,4,5,6,3,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,8,5,6,1,7] => [2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,8,1,7,6,5] => [2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => 1
[2,3,4,8,1,6,7,5] => [2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => 0
[2,3,4,8,5,1,7,6] => [2,3,4,5,1,7,6] => [1,2,3,4,5,6,7] => 0
[2,1,4,5,8,3,7,6] => [2,1,4,5,3,7,6] => [1,2,3,4,5,6,7] => 0
[2,3,4,8,5,1,6,7] => [2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,8,1,6,5,7] => [2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => 0
[2,3,4,8,1,5,7,6] => [2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => 0
[3,8,4,7,5,6,1,2] => [3,4,7,5,6,1,2] => [1,3,7,2,4,5,6] => 1
[5,2,3,8,4,6,7,1] => [5,2,3,4,6,7,1] => [1,5,6,7,2,3,4] => 1
[8,4,2,5,7,3,6,1] => [4,2,5,7,3,6,1] => [1,4,7,2,3,5,6] => 1
[5,7,3,8,4,6,2,1] => [5,7,3,4,6,2,1] => [1,5,6,2,7,3,4] => 2
[8,1,2,3,4,5,6,7,9] => [8,1,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => 1
[1,9,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[9,1,2,3,4,5,6,7,8,10] => [9,1,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => 1
[1,10,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[10,1,2,3,4,5,6,7,8,9,11] => [10,1,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => 1
[1,11,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[7,3,8,4,5,6,1,2] => [7,3,4,5,6,1,2] => [1,7,2,3,4,5,6] => 1
[7,1,8,6,3,4,2,5] => [7,1,6,3,4,2,5] => [1,7,5,4,3,6,2] => 2
[7,2,5,8,1,6,4,3] => [7,2,5,1,6,4,3] => [1,7,3,5,6,4,2] => 2
[6,1,3,5,4,7,8,2] => [6,1,3,5,4,7,2] => [1,6,7,2,3,4,5] => 1
[6,1,4,3,5,7,8,2] => [6,1,4,3,5,7,2] => [1,6,7,2,3,4,5] => 1
[6,1,3,4,5,7,8,2] => [6,1,3,4,5,7,2] => [1,6,7,2,3,4,5] => 1
[3,4,7,8,5,6,1,2] => [3,4,7,5,6,1,2] => [1,3,7,2,4,5,6] => 1
[6,3,7,5,8,4,1,2] => [6,3,7,5,4,1,2] => [1,6,2,3,7,4,5] => 2
[7,8,1,2,5,6,3,4] => [7,1,2,5,6,3,4] => [1,7,4,5,6,3,2] => 2
[2,8,3,4,5,1,7,6] => [2,3,4,5,1,7,6] => [1,2,3,4,5,6,7] => 0
[2,8,1,4,5,6,3,7] => [2,1,4,5,6,3,7] => [1,2,3,4,5,6,7] => 0
[3,1,7,5,6,4,8,2] => [3,1,7,5,6,4,2] => [1,3,7,2,4,5,6] => 1
[1,6,4,7,5,8,2,3] => [1,6,4,7,5,2,3] => [1,2,6,3,4,7,5] => 2
[6,1,7,5,3,8,2,4] => [6,1,7,5,3,2,4] => [1,6,2,3,7,4,5] => 2
[7,8,1,6,2,4,5,3] => [7,1,6,2,4,5,3] => [1,7,3,6,5,4,2] => 2
[8,5,1,3,7,2,6,4] => [5,1,3,7,2,6,4] => [1,5,2,3,4,7,6] => 2
[8,2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[2,1,8,4,3,6,5,7] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[2,8,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[2,8,1,4,6,3,5,7] => [2,1,4,6,3,5,7] => [1,2,3,4,6,5,7] => 1
[2,1,8,4,6,3,5,7] => [2,1,4,6,3,5,7] => [1,2,3,4,6,5,7] => 1
[8,2,1,4,6,3,5,7] => [2,1,4,6,3,5,7] => [1,2,3,4,6,5,7] => 1
[2,1,4,3,8,6,5,7] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,8,3,6,5,7] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 0
[2,1,4,8,6,3,5,7] => [2,1,4,6,3,5,7] => [1,2,3,4,6,5,7] => 1
[3,2,8,1,5,4,7,6] => [3,2,1,5,4,7,6] => [1,3,2,4,5,6,7] => 1
[2,8,3,1,5,4,6,7] => [2,3,1,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[4,8,1,5,7,3,6,2] => [4,1,5,7,3,6,2] => [1,4,7,2,3,5,6] => 1
[7,2,6,3,4,1,8,5] => [7,2,6,3,4,1,5] => [1,7,5,4,3,6,2] => 2
[7,8,2,6,3,1,5,4] => [7,2,6,3,1,5,4] => [1,7,4,3,6,5,2] => 2
[6,3,4,7,5,8,1,2] => [6,3,4,7,5,1,2] => [1,6,2,3,4,7,5] => 2
[6,1,7,4,5,8,2,3] => [6,1,7,4,5,2,3] => [1,6,2,3,7,4,5] => 2
[2,1,6,7,5,8,3,4] => [2,1,6,7,5,3,4] => [1,2,3,6,4,7,5] => 2
[2,1,4,3,6,5,8,7,9] => [2,1,4,3,6,5,8,7] => [1,2,3,4,5,6,7,8] => 0
[2,3,1,5,4,7,6,9,8] => [2,3,1,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[1,3,2,5,4,7,6,9,8] => [1,3,2,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[2,4,6,1,3,5,8,7,9] => [2,4,6,1,3,5,8,7] => [1,2,4,3,6,5,7,8] => 2
[2,3,1,5,4,7,6,9,8,10] => [2,3,1,5,4,7,6,9,8] => [1,2,3,4,5,6,7,8,9] => 0
[1,3,2,5,4,7,6,9,8,10] => [1,3,2,5,4,7,6,9,8] => [1,2,3,4,5,6,7,8,9] => 0
[1,3,2,6,5,8,4,7] => [1,3,2,6,5,4,7] => [1,2,3,4,6,5,7] => 1
[1,2,3,6,5,8,4,7] => [1,2,3,6,5,4,7] => [1,2,3,4,6,5,7] => 1
[7,8,1,4,5,3,6,2] => [7,1,4,5,3,6,2] => [1,7,2,3,4,5,6] => 1
[1,2,4,8,3,7,6,5] => [1,2,4,3,7,6,5] => [1,2,3,4,5,7,6] => 1
[1,3,4,8,2,7,6,5] => [1,3,4,2,7,6,5] => [1,2,3,4,5,7,6] => 1
[6,1,3,5,4,8,7,2] => [6,1,3,5,4,7,2] => [1,6,7,2,3,4,5] => 1
[4,2,1,7,3,5,8,6] => [4,2,1,7,3,5,6] => [1,4,7,6,5,3,2] => 1
[6,2,7,5,3,8,1,4] => [6,2,7,5,3,1,4] => [1,6,2,3,7,4,5] => 2
[5,8,3,2,7,1,6,4] => [5,3,2,7,1,6,4] => [1,5,2,3,4,7,6] => 2
[6,3,7,5,8,2,1,4] => [6,3,7,5,2,1,4] => [1,6,2,3,7,4,5] => 2
[8,4,1,5,7,3,6,2] => [4,1,5,7,3,6,2] => [1,4,7,2,3,5,6] => 1
[6,3,7,4,8,5,2,1] => [6,3,7,4,5,2,1] => [1,6,2,3,7,4,5] => 2
[3,4,1,2,5,6,7,8,9] => [3,4,1,2,5,6,7,8] => [1,3,2,4,5,6,7,8] => 1
[3,2,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => 1
[4,5,6,1,2,3,7,8,9] => [4,5,6,1,2,3,7,8] => [1,4,2,5,3,6,7,8] => 2
[4,2,5,1,3,6,7,8,9] => [4,2,5,1,3,6,7,8] => [1,4,2,3,5,6,7,8] => 1
[4,3,2,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8] => [1,4,2,3,5,6,7,8] => 1
[5,6,7,8,1,2,3,4,9] => [5,6,7,8,1,2,3,4] => [1,5,2,6,3,7,4,8] => 3
[5,6,3,4,1,2,7,8,9] => [5,6,3,4,1,2,7,8] => [1,5,2,6,3,4,7,8] => 2
[5,3,2,6,1,4,7,8,9] => [5,3,2,6,1,4,7,8] => [1,5,2,3,4,6,7,8] => 1
[5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,6,7,8] => [1,5,2,4,3,6,7,8] => 2
[6,7,3,4,8,1,2,5,9] => [6,7,3,4,8,1,2,5] => [1,6,2,7,3,4,5,8] => 2
[6,3,2,7,8,1,4,5,9] => [6,3,2,7,8,1,4,5] => [1,6,2,3,4,7,5,8] => 2
[6,4,7,2,5,1,3,8,9] => [6,4,7,2,5,1,3,8] => [1,6,2,4,3,7,5,8] => 3
[6,4,3,2,7,1,5,8,9] => [6,4,3,2,7,1,5,8] => [1,6,2,4,3,5,7,8] => 2
[6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,7,8] => [1,6,2,5,3,4,7,8] => 2
[7,8,5,6,3,4,1,2,9] => [7,8,5,6,3,4,1,2] => [1,7,2,8,3,5,4,6] => 3
[7,5,4,3,2,8,1,6,9] => [7,5,4,3,2,8,1,6] => [1,7,2,5,3,4,6,8] => 2
[7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8] => [1,7,2,6,3,5,4,8] => 3
[5,1,8,4,7,2,3,6] => [5,1,4,7,2,3,6] => [1,5,2,3,4,7,6] => 2
[6,1,2,3,7,5,8,4] => [6,1,2,3,7,5,4] => [1,6,5,7,4,3,2] => 2
[8,1,2,3,5,7,6,4] => [1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => 1
[8,1,2,3,6,7,5,4] => [1,2,3,6,7,5,4] => [1,2,3,4,6,5,7] => 1
[7,8,2,6,3,4,1,5] => [7,2,6,3,4,1,5] => [1,7,5,4,3,6,2] => 2
[5,1,2,3,8,6,7,4] => [5,1,2,3,6,7,4] => [1,5,6,7,4,3,2] => 1
[5,1,2,3,6,8,7,4] => [5,1,2,3,6,7,4] => [1,5,6,7,4,3,2] => 1
[7,8,1,2,6,3,5,4] => [7,1,2,6,3,5,4] => [1,7,4,6,5,3,2] => 2
[5,3,8,4,1,7,6,2] => [5,3,4,1,7,6,2] => [1,5,7,2,3,4,6] => 1
[5,1,8,4,7,2,6,3] => [5,1,4,7,2,6,3] => [1,5,2,3,4,7,6] => 2
[5,8,7,4,6,1,2,3] => [5,7,4,6,1,2,3] => [1,5,2,7,3,4,6] => 2
[1,3,2,5,8,7,4,6] => [1,3,2,5,7,4,6] => [1,2,3,4,5,7,6] => 1
[2,1,3,5,8,7,4,6] => [2,1,3,5,7,4,6] => [1,2,3,4,5,7,6] => 1
[6,8,1,3,7,5,2,4] => [6,1,3,7,5,2,4] => [1,6,2,3,4,7,5] => 2
[8,1,2,6,7,5,3,4] => [1,2,6,7,5,3,4] => [1,2,3,6,4,7,5] => 2
[2,6,8,3,7,5,1,4] => [2,6,3,7,5,1,4] => [1,2,6,3,4,7,5] => 2
[2,8,1,6,7,5,3,4] => [2,1,6,7,5,3,4] => [1,2,3,6,4,7,5] => 2
[8,5,7,4,2,6,1,3] => [5,7,4,2,6,1,3] => [1,5,6,2,7,3,4] => 2
[8,5,2,4,7,1,6,3] => [5,2,4,7,1,6,3] => [1,5,2,3,4,7,6] => 2
[8,5,1,4,7,2,6,3] => [5,1,4,7,2,6,3] => [1,5,2,3,4,7,6] => 2
[1,6,8,3,7,5,2,4] => [1,6,3,7,5,2,4] => [1,2,6,3,4,7,5] => 2
[6,3,8,2,7,5,1,4] => [6,3,2,7,5,1,4] => [1,6,2,3,4,7,5] => 2
[8,7,3,4,5,1,6,2] => [7,3,4,5,1,6,2] => [1,7,2,3,4,5,6] => 1
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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 96,528,96 224,2912,1904
F1=1
F2=2
F3=6
F4=16+8 q
F5=40+80 q
F6=96+528 q+96 q2
F7=224+2912 q+1904 q2
Description
The number of left outer peaks of a permutation.
A left outer peak in a permutation w=[w1,...,wn] is either a position i such that wi−1<wi>wi+1 or 1 if w1>w2.
In other words, it is a peak in the word [0,w1,...,wn].
This appears in [1, def.3.1]. The joint distribution with St000366The number of double descents of a permutation. is studied in [3], where left outer peaks are called exterior peaks.
A left outer peak in a permutation w=[w1,...,wn] is either a position i such that wi−1<wi>wi+1 or 1 if w1>w2.
In other words, it is a peak in the word [0,w1,...,wn].
This appears in [1, def.3.1]. The joint distribution with St000366The number of double descents of a permutation. is studied in [3], where left outer peaks are called exterior peaks.
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
This map is undefined for the empty permutation.
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