Identifier
-
Mp00223:
Permutations
—runsort⟶
Permutations
St000501: Permutations ⟶ ℤ
Values
[1] => [1] => 1
[1,2] => [1,2] => 1
[2,1] => [1,2] => 1
[1,2,3] => [1,2,3] => 1
[1,3,2] => [1,3,2] => 1
[2,1,3] => [1,3,2] => 1
[2,3,1] => [1,2,3] => 1
[3,1,2] => [1,2,3] => 1
[3,2,1] => [1,2,3] => 1
[1,2,3,4] => [1,2,3,4] => 1
[1,2,4,3] => [1,2,4,3] => 1
[1,3,2,4] => [1,3,2,4] => 1
[1,3,4,2] => [1,3,4,2] => 1
[1,4,2,3] => [1,4,2,3] => 1
[1,4,3,2] => [1,4,2,3] => 1
[2,1,3,4] => [1,3,4,2] => 1
[2,1,4,3] => [1,4,2,3] => 1
[2,3,1,4] => [1,4,2,3] => 1
[2,3,4,1] => [1,2,3,4] => 1
[2,4,1,3] => [1,3,2,4] => 1
[2,4,3,1] => [1,2,4,3] => 1
[3,1,2,4] => [1,2,4,3] => 1
[3,1,4,2] => [1,4,2,3] => 1
[3,2,1,4] => [1,4,2,3] => 1
[3,2,4,1] => [1,2,4,3] => 1
[3,4,1,2] => [1,2,3,4] => 1
[3,4,2,1] => [1,2,3,4] => 1
[4,1,2,3] => [1,2,3,4] => 1
[4,1,3,2] => [1,3,2,4] => 1
[4,2,1,3] => [1,3,2,4] => 1
[4,2,3,1] => [1,2,3,4] => 1
[4,3,1,2] => [1,2,3,4] => 1
[4,3,2,1] => [1,2,3,4] => 1
[1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,3,5,4] => [1,2,3,5,4] => 1
[1,2,4,3,5] => [1,2,4,3,5] => 1
[1,2,4,5,3] => [1,2,4,5,3] => 1
[1,2,5,3,4] => [1,2,5,3,4] => 1
[1,2,5,4,3] => [1,2,5,3,4] => 1
[1,3,2,4,5] => [1,3,2,4,5] => 1
[1,3,2,5,4] => [1,3,2,5,4] => 1
[1,3,4,2,5] => [1,3,4,2,5] => 1
[1,3,4,5,2] => [1,3,4,5,2] => 1
[1,3,5,2,4] => [1,3,5,2,4] => 1
[1,3,5,4,2] => [1,3,5,2,4] => 1
[1,4,2,3,5] => [1,4,2,3,5] => 1
[1,4,2,5,3] => [1,4,2,5,3] => 1
[1,4,3,2,5] => [1,4,2,5,3] => 1
[1,4,3,5,2] => [1,4,2,3,5] => 1
[1,4,5,2,3] => [1,4,5,2,3] => 1
[1,4,5,3,2] => [1,4,5,2,3] => 1
[1,5,2,3,4] => [1,5,2,3,4] => 1
[1,5,2,4,3] => [1,5,2,4,3] => 1
[1,5,3,2,4] => [1,5,2,4,3] => 1
[1,5,3,4,2] => [1,5,2,3,4] => 1
[1,5,4,2,3] => [1,5,2,3,4] => 1
[1,5,4,3,2] => [1,5,2,3,4] => 1
[2,1,3,4,5] => [1,3,4,5,2] => 1
[2,1,3,5,4] => [1,3,5,2,4] => 1
[2,1,4,3,5] => [1,4,2,3,5] => 1
[2,1,4,5,3] => [1,4,5,2,3] => 1
[2,1,5,3,4] => [1,5,2,3,4] => 1
[2,1,5,4,3] => [1,5,2,3,4] => 1
[2,3,1,4,5] => [1,4,5,2,3] => 1
[2,3,1,5,4] => [1,5,2,3,4] => 1
[2,3,4,1,5] => [1,5,2,3,4] => 1
[2,3,4,5,1] => [1,2,3,4,5] => 1
[2,3,5,1,4] => [1,4,2,3,5] => 1
[2,3,5,4,1] => [1,2,3,5,4] => 1
[2,4,1,3,5] => [1,3,5,2,4] => 1
[2,4,1,5,3] => [1,5,2,4,3] => 1
[2,4,3,1,5] => [1,5,2,4,3] => 1
[2,4,3,5,1] => [1,2,4,3,5] => 1
[2,4,5,1,3] => [1,3,2,4,5] => 1
[2,4,5,3,1] => [1,2,4,5,3] => 1
[2,5,1,3,4] => [1,3,4,2,5] => 1
[2,5,1,4,3] => [1,4,2,5,3] => 1
[2,5,3,1,4] => [1,4,2,5,3] => 1
[2,5,3,4,1] => [1,2,5,3,4] => 1
[2,5,4,1,3] => [1,3,2,5,4] => 1
[2,5,4,3,1] => [1,2,5,3,4] => 1
[3,1,2,4,5] => [1,2,4,5,3] => 1
[3,1,2,5,4] => [1,2,5,3,4] => 1
[3,1,4,2,5] => [1,4,2,5,3] => 1
[3,1,4,5,2] => [1,4,5,2,3] => 1
[3,1,5,2,4] => [1,5,2,4,3] => 1
[3,1,5,4,2] => [1,5,2,3,4] => 1
[3,2,1,4,5] => [1,4,5,2,3] => 1
[3,2,1,5,4] => [1,5,2,3,4] => 1
[3,2,4,1,5] => [1,5,2,4,3] => 1
[3,2,4,5,1] => [1,2,4,5,3] => 1
[3,2,5,1,4] => [1,4,2,5,3] => 1
[3,2,5,4,1] => [1,2,5,3,4] => 1
[3,4,1,2,5] => [1,2,5,3,4] => 1
[3,4,1,5,2] => [1,5,2,3,4] => 1
[3,4,2,1,5] => [1,5,2,3,4] => 1
[3,4,2,5,1] => [1,2,5,3,4] => 1
[3,4,5,1,2] => [1,2,3,4,5] => 1
[3,4,5,2,1] => [1,2,3,4,5] => 1
[3,5,1,2,4] => [1,2,4,3,5] => 1
[3,5,1,4,2] => [1,4,2,3,5] => 1
>>> Load all 3609 entries. <<<[3,5,2,1,4] => [1,4,2,3,5] => 1
[3,5,2,4,1] => [1,2,4,3,5] => 1
[3,5,4,1,2] => [1,2,3,5,4] => 1
[3,5,4,2,1] => [1,2,3,5,4] => 1
[4,1,2,3,5] => [1,2,3,5,4] => 1
[4,1,2,5,3] => [1,2,5,3,4] => 1
[4,1,3,2,5] => [1,3,2,5,4] => 1
[4,1,3,5,2] => [1,3,5,2,4] => 1
[4,1,5,2,3] => [1,5,2,3,4] => 1
[4,1,5,3,2] => [1,5,2,3,4] => 1
[4,2,1,3,5] => [1,3,5,2,4] => 1
[4,2,1,5,3] => [1,5,2,3,4] => 1
[4,2,3,1,5] => [1,5,2,3,4] => 1
[4,2,3,5,1] => [1,2,3,5,4] => 1
[4,2,5,1,3] => [1,3,2,5,4] => 1
[4,2,5,3,1] => [1,2,5,3,4] => 1
[4,3,1,2,5] => [1,2,5,3,4] => 1
[4,3,1,5,2] => [1,5,2,3,4] => 1
[4,3,2,1,5] => [1,5,2,3,4] => 1
[4,3,2,5,1] => [1,2,5,3,4] => 1
[4,3,5,1,2] => [1,2,3,5,4] => 1
[4,3,5,2,1] => [1,2,3,5,4] => 1
[4,5,1,2,3] => [1,2,3,4,5] => 1
[4,5,1,3,2] => [1,3,2,4,5] => 1
[4,5,2,1,3] => [1,3,2,4,5] => 1
[4,5,2,3,1] => [1,2,3,4,5] => 1
[4,5,3,1,2] => [1,2,3,4,5] => 1
[4,5,3,2,1] => [1,2,3,4,5] => 1
[5,1,2,3,4] => [1,2,3,4,5] => 1
[5,1,2,4,3] => [1,2,4,3,5] => 1
[5,1,3,2,4] => [1,3,2,4,5] => 1
[5,1,3,4,2] => [1,3,4,2,5] => 1
[5,1,4,2,3] => [1,4,2,3,5] => 1
[5,1,4,3,2] => [1,4,2,3,5] => 1
[5,2,1,3,4] => [1,3,4,2,5] => 1
[5,2,1,4,3] => [1,4,2,3,5] => 1
[5,2,3,1,4] => [1,4,2,3,5] => 1
[5,2,3,4,1] => [1,2,3,4,5] => 1
[5,2,4,1,3] => [1,3,2,4,5] => 1
[5,2,4,3,1] => [1,2,4,3,5] => 1
[5,3,1,2,4] => [1,2,4,3,5] => 1
[5,3,1,4,2] => [1,4,2,3,5] => 1
[5,3,2,1,4] => [1,4,2,3,5] => 1
[5,3,2,4,1] => [1,2,4,3,5] => 1
[5,3,4,1,2] => [1,2,3,4,5] => 1
[5,3,4,2,1] => [1,2,3,4,5] => 1
[5,4,1,2,3] => [1,2,3,4,5] => 1
[5,4,1,3,2] => [1,3,2,4,5] => 1
[5,4,2,1,3] => [1,3,2,4,5] => 1
[5,4,2,3,1] => [1,2,3,4,5] => 1
[5,4,3,1,2] => [1,2,3,4,5] => 1
[5,4,3,2,1] => [1,2,3,4,5] => 1
[1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[1,2,3,4,6,5] => [1,2,3,4,6,5] => 1
[1,2,3,5,4,6] => [1,2,3,5,4,6] => 1
[1,2,3,5,6,4] => [1,2,3,5,6,4] => 1
[1,2,3,6,4,5] => [1,2,3,6,4,5] => 1
[1,2,3,6,5,4] => [1,2,3,6,4,5] => 1
[1,2,4,3,5,6] => [1,2,4,3,5,6] => 1
[1,2,4,3,6,5] => [1,2,4,3,6,5] => 1
[1,2,4,5,3,6] => [1,2,4,5,3,6] => 1
[1,2,4,5,6,3] => [1,2,4,5,6,3] => 1
[1,2,4,6,3,5] => [1,2,4,6,3,5] => 1
[1,2,4,6,5,3] => [1,2,4,6,3,5] => 1
[1,2,5,3,4,6] => [1,2,5,3,4,6] => 1
[1,2,5,3,6,4] => [1,2,5,3,6,4] => 1
[1,2,5,4,3,6] => [1,2,5,3,6,4] => 1
[1,2,5,4,6,3] => [1,2,5,3,4,6] => 1
[1,2,5,6,3,4] => [1,2,5,6,3,4] => 1
[1,2,5,6,4,3] => [1,2,5,6,3,4] => 1
[1,2,6,3,4,5] => [1,2,6,3,4,5] => 1
[1,2,6,3,5,4] => [1,2,6,3,5,4] => 1
[1,2,6,4,3,5] => [1,2,6,3,5,4] => 1
[1,2,6,4,5,3] => [1,2,6,3,4,5] => 1
[1,2,6,5,3,4] => [1,2,6,3,4,5] => 1
[1,2,6,5,4,3] => [1,2,6,3,4,5] => 1
[1,3,2,4,5,6] => [1,3,2,4,5,6] => 1
[1,3,2,4,6,5] => [1,3,2,4,6,5] => 1
[1,3,2,5,4,6] => [1,3,2,5,4,6] => 1
[1,3,2,5,6,4] => [1,3,2,5,6,4] => 1
[1,3,2,6,4,5] => [1,3,2,6,4,5] => 1
[1,3,2,6,5,4] => [1,3,2,6,4,5] => 1
[1,3,4,2,5,6] => [1,3,4,2,5,6] => 1
[1,3,4,2,6,5] => [1,3,4,2,6,5] => 1
[1,3,4,5,2,6] => [1,3,4,5,2,6] => 1
[1,3,4,5,6,2] => [1,3,4,5,6,2] => 1
[1,3,4,6,2,5] => [1,3,4,6,2,5] => 1
[1,3,4,6,5,2] => [1,3,4,6,2,5] => 1
[1,3,5,2,4,6] => [1,3,5,2,4,6] => 1
[1,3,5,2,6,4] => [1,3,5,2,6,4] => 1
[1,3,5,4,2,6] => [1,3,5,2,6,4] => 1
[1,3,5,4,6,2] => [1,3,5,2,4,6] => 1
[1,3,5,6,2,4] => [1,3,5,6,2,4] => 1
[1,3,5,6,4,2] => [1,3,5,6,2,4] => 1
[1,3,6,2,4,5] => [1,3,6,2,4,5] => 1
[1,3,6,2,5,4] => [1,3,6,2,5,4] => 1
[1,3,6,4,2,5] => [1,3,6,2,5,4] => 1
[1,3,6,4,5,2] => [1,3,6,2,4,5] => 1
[1,3,6,5,2,4] => [1,3,6,2,4,5] => 1
[1,3,6,5,4,2] => [1,3,6,2,4,5] => 1
[1,4,2,3,5,6] => [1,4,2,3,5,6] => 1
[1,4,2,3,6,5] => [1,4,2,3,6,5] => 1
[1,4,2,5,3,6] => [1,4,2,5,3,6] => 1
[1,4,2,5,6,3] => [1,4,2,5,6,3] => 1
[1,4,2,6,3,5] => [1,4,2,6,3,5] => 1
[1,4,2,6,5,3] => [1,4,2,6,3,5] => 1
[1,4,3,2,5,6] => [1,4,2,5,6,3] => 1
[1,4,3,2,6,5] => [1,4,2,6,3,5] => 1
[1,4,3,5,2,6] => [1,4,2,6,3,5] => 1
[1,4,3,5,6,2] => [1,4,2,3,5,6] => 1
[1,4,3,6,2,5] => [1,4,2,5,3,6] => 1
[1,4,3,6,5,2] => [1,4,2,3,6,5] => 1
[1,4,5,2,3,6] => [1,4,5,2,3,6] => 1
[1,4,5,2,6,3] => [1,4,5,2,6,3] => 1
[1,4,5,3,2,6] => [1,4,5,2,6,3] => 1
[1,4,5,3,6,2] => [1,4,5,2,3,6] => 1
[1,4,5,6,2,3] => [1,4,5,6,2,3] => 1
[1,4,5,6,3,2] => [1,4,5,6,2,3] => 1
[1,4,6,2,3,5] => [1,4,6,2,3,5] => 1
[1,4,6,2,5,3] => [1,4,6,2,5,3] => 1
[1,4,6,3,2,5] => [1,4,6,2,5,3] => 1
[1,4,6,3,5,2] => [1,4,6,2,3,5] => 1
[1,4,6,5,2,3] => [1,4,6,2,3,5] => 1
[1,4,6,5,3,2] => [1,4,6,2,3,5] => 1
[1,5,2,3,4,6] => [1,5,2,3,4,6] => 1
[1,5,2,3,6,4] => [1,5,2,3,6,4] => 1
[1,5,2,4,3,6] => [1,5,2,4,3,6] => 1
[1,5,2,4,6,3] => [1,5,2,4,6,3] => 1
[1,5,2,6,3,4] => [1,5,2,6,3,4] => 1
[1,5,2,6,4,3] => [1,5,2,6,3,4] => 1
[1,5,3,2,4,6] => [1,5,2,4,6,3] => 1
[1,5,3,2,6,4] => [1,5,2,6,3,4] => 1
[1,5,3,4,2,6] => [1,5,2,6,3,4] => 1
[1,5,3,4,6,2] => [1,5,2,3,4,6] => 1
[1,5,3,6,2,4] => [1,5,2,4,3,6] => 1
[1,5,3,6,4,2] => [1,5,2,3,6,4] => 1
[1,5,4,2,3,6] => [1,5,2,3,6,4] => 1
[1,5,4,2,6,3] => [1,5,2,6,3,4] => 1
[1,5,4,3,2,6] => [1,5,2,6,3,4] => 1
[1,5,4,3,6,2] => [1,5,2,3,6,4] => 1
[1,5,4,6,2,3] => [1,5,2,3,4,6] => 1
[1,5,4,6,3,2] => [1,5,2,3,4,6] => 1
[1,5,6,2,3,4] => [1,5,6,2,3,4] => 1
[1,5,6,2,4,3] => [1,5,6,2,4,3] => 1
[1,5,6,3,2,4] => [1,5,6,2,4,3] => 1
[1,5,6,3,4,2] => [1,5,6,2,3,4] => 1
[1,5,6,4,2,3] => [1,5,6,2,3,4] => 1
[1,5,6,4,3,2] => [1,5,6,2,3,4] => 1
[1,6,2,3,4,5] => [1,6,2,3,4,5] => 1
[1,6,2,3,5,4] => [1,6,2,3,5,4] => 1
[1,6,2,4,3,5] => [1,6,2,4,3,5] => 1
[1,6,2,4,5,3] => [1,6,2,4,5,3] => 1
[1,6,2,5,3,4] => [1,6,2,5,3,4] => 1
[1,6,2,5,4,3] => [1,6,2,5,3,4] => 1
[1,6,3,2,4,5] => [1,6,2,4,5,3] => 1
[1,6,3,2,5,4] => [1,6,2,5,3,4] => 1
[1,6,3,4,2,5] => [1,6,2,5,3,4] => 1
[1,6,3,4,5,2] => [1,6,2,3,4,5] => 1
[1,6,3,5,2,4] => [1,6,2,4,3,5] => 1
[1,6,3,5,4,2] => [1,6,2,3,5,4] => 1
[1,6,4,2,3,5] => [1,6,2,3,5,4] => 1
[1,6,4,2,5,3] => [1,6,2,5,3,4] => 1
[1,6,4,3,2,5] => [1,6,2,5,3,4] => 1
[1,6,4,3,5,2] => [1,6,2,3,5,4] => 1
[1,6,4,5,2,3] => [1,6,2,3,4,5] => 1
[1,6,4,5,3,2] => [1,6,2,3,4,5] => 1
[1,6,5,2,3,4] => [1,6,2,3,4,5] => 1
[1,6,5,2,4,3] => [1,6,2,4,3,5] => 1
[1,6,5,3,2,4] => [1,6,2,4,3,5] => 1
[1,6,5,3,4,2] => [1,6,2,3,4,5] => 1
[1,6,5,4,2,3] => [1,6,2,3,4,5] => 1
[1,6,5,4,3,2] => [1,6,2,3,4,5] => 1
[2,1,3,4,5,6] => [1,3,4,5,6,2] => 1
[2,1,3,4,6,5] => [1,3,4,6,2,5] => 1
[2,1,3,5,4,6] => [1,3,5,2,4,6] => 1
[2,1,3,5,6,4] => [1,3,5,6,2,4] => 1
[2,1,3,6,4,5] => [1,3,6,2,4,5] => 1
[2,1,3,6,5,4] => [1,3,6,2,4,5] => 1
[2,1,4,3,5,6] => [1,4,2,3,5,6] => 1
[2,1,4,3,6,5] => [1,4,2,3,6,5] => 1
[2,1,4,5,3,6] => [1,4,5,2,3,6] => 1
[2,1,4,5,6,3] => [1,4,5,6,2,3] => 1
[2,1,4,6,3,5] => [1,4,6,2,3,5] => 1
[2,1,4,6,5,3] => [1,4,6,2,3,5] => 1
[2,1,5,3,4,6] => [1,5,2,3,4,6] => 1
[2,1,5,3,6,4] => [1,5,2,3,6,4] => 1
[2,1,5,4,3,6] => [1,5,2,3,6,4] => 1
[2,1,5,4,6,3] => [1,5,2,3,4,6] => 1
[2,1,5,6,3,4] => [1,5,6,2,3,4] => 1
[2,1,5,6,4,3] => [1,5,6,2,3,4] => 1
[2,1,6,3,4,5] => [1,6,2,3,4,5] => 1
[2,1,6,3,5,4] => [1,6,2,3,5,4] => 1
[2,1,6,4,3,5] => [1,6,2,3,5,4] => 1
[2,1,6,4,5,3] => [1,6,2,3,4,5] => 1
[2,1,6,5,3,4] => [1,6,2,3,4,5] => 1
[2,1,6,5,4,3] => [1,6,2,3,4,5] => 1
[2,3,1,4,5,6] => [1,4,5,6,2,3] => 1
[2,3,1,4,6,5] => [1,4,6,2,3,5] => 1
[2,3,1,5,4,6] => [1,5,2,3,4,6] => 1
[2,3,1,5,6,4] => [1,5,6,2,3,4] => 1
[2,3,1,6,4,5] => [1,6,2,3,4,5] => 1
[2,3,1,6,5,4] => [1,6,2,3,4,5] => 1
[2,3,4,1,5,6] => [1,5,6,2,3,4] => 1
[2,3,4,1,6,5] => [1,6,2,3,4,5] => 1
[2,3,4,5,1,6] => [1,6,2,3,4,5] => 1
[2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,3,4,6,1,5] => [1,5,2,3,4,6] => 1
[2,3,4,6,5,1] => [1,2,3,4,6,5] => 1
[2,3,5,1,4,6] => [1,4,6,2,3,5] => 1
[2,3,5,1,6,4] => [1,6,2,3,5,4] => 1
[2,3,5,4,1,6] => [1,6,2,3,5,4] => 1
[2,3,5,4,6,1] => [1,2,3,5,4,6] => 1
[2,3,5,6,1,4] => [1,4,2,3,5,6] => 1
[2,3,5,6,4,1] => [1,2,3,5,6,4] => 1
[2,3,6,1,4,5] => [1,4,5,2,3,6] => 1
[2,3,6,1,5,4] => [1,5,2,3,6,4] => 1
[2,3,6,4,1,5] => [1,5,2,3,6,4] => 1
[2,3,6,4,5,1] => [1,2,3,6,4,5] => 1
[2,3,6,5,1,4] => [1,4,2,3,6,5] => 1
[2,3,6,5,4,1] => [1,2,3,6,4,5] => 1
[2,4,1,3,5,6] => [1,3,5,6,2,4] => 1
[2,4,1,3,6,5] => [1,3,6,2,4,5] => 1
[2,4,1,5,3,6] => [1,5,2,4,3,6] => 1
[2,4,1,5,6,3] => [1,5,6,2,4,3] => 1
[2,4,1,6,3,5] => [1,6,2,4,3,5] => 1
[2,4,1,6,5,3] => [1,6,2,4,3,5] => 1
[2,4,3,1,5,6] => [1,5,6,2,4,3] => 1
[2,4,3,1,6,5] => [1,6,2,4,3,5] => 1
[2,4,3,5,1,6] => [1,6,2,4,3,5] => 1
[2,4,3,5,6,1] => [1,2,4,3,5,6] => 1
[2,4,3,6,1,5] => [1,5,2,4,3,6] => 1
[2,4,3,6,5,1] => [1,2,4,3,6,5] => 1
[2,4,5,1,3,6] => [1,3,6,2,4,5] => 1
[2,4,5,1,6,3] => [1,6,2,4,5,3] => 1
[2,4,5,3,1,6] => [1,6,2,4,5,3] => 1
[2,4,5,3,6,1] => [1,2,4,5,3,6] => 1
[2,4,5,6,1,3] => [1,3,2,4,5,6] => 1
[2,4,5,6,3,1] => [1,2,4,5,6,3] => 1
[2,4,6,1,3,5] => [1,3,5,2,4,6] => 1
[2,4,6,1,5,3] => [1,5,2,4,6,3] => 1
[2,4,6,3,1,5] => [1,5,2,4,6,3] => 1
[2,4,6,3,5,1] => [1,2,4,6,3,5] => 1
[2,4,6,5,1,3] => [1,3,2,4,6,5] => 1
[2,4,6,5,3,1] => [1,2,4,6,3,5] => 1
[2,5,1,3,4,6] => [1,3,4,6,2,5] => 1
[2,5,1,3,6,4] => [1,3,6,2,5,4] => 1
[2,5,1,4,3,6] => [1,4,2,5,3,6] => 1
[2,5,1,4,6,3] => [1,4,6,2,5,3] => 1
[2,5,1,6,3,4] => [1,6,2,5,3,4] => 1
[2,5,1,6,4,3] => [1,6,2,5,3,4] => 1
[2,5,3,1,4,6] => [1,4,6,2,5,3] => 1
[2,5,3,1,6,4] => [1,6,2,5,3,4] => 1
[2,5,3,4,1,6] => [1,6,2,5,3,4] => 1
[2,5,3,4,6,1] => [1,2,5,3,4,6] => 1
[2,5,3,6,1,4] => [1,4,2,5,3,6] => 1
[2,5,3,6,4,1] => [1,2,5,3,6,4] => 1
[2,5,4,1,3,6] => [1,3,6,2,5,4] => 1
[2,5,4,1,6,3] => [1,6,2,5,3,4] => 1
[2,5,4,3,1,6] => [1,6,2,5,3,4] => 1
[2,5,4,3,6,1] => [1,2,5,3,6,4] => 1
[2,5,4,6,1,3] => [1,3,2,5,4,6] => 1
[2,5,4,6,3,1] => [1,2,5,3,4,6] => 1
[2,5,6,1,3,4] => [1,3,4,2,5,6] => 1
[2,5,6,1,4,3] => [1,4,2,5,6,3] => 1
[2,5,6,3,1,4] => [1,4,2,5,6,3] => 1
[2,5,6,3,4,1] => [1,2,5,6,3,4] => 1
[2,5,6,4,1,3] => [1,3,2,5,6,4] => 1
[2,5,6,4,3,1] => [1,2,5,6,3,4] => 1
[2,6,1,3,4,5] => [1,3,4,5,2,6] => 1
[2,6,1,3,5,4] => [1,3,5,2,6,4] => 1
[2,6,1,4,3,5] => [1,4,2,6,3,5] => 1
[2,6,1,4,5,3] => [1,4,5,2,6,3] => 1
[2,6,1,5,3,4] => [1,5,2,6,3,4] => 1
[2,6,1,5,4,3] => [1,5,2,6,3,4] => 1
[2,6,3,1,4,5] => [1,4,5,2,6,3] => 1
[2,6,3,1,5,4] => [1,5,2,6,3,4] => 1
[2,6,3,4,1,5] => [1,5,2,6,3,4] => 1
[2,6,3,4,5,1] => [1,2,6,3,4,5] => 1
[2,6,3,5,1,4] => [1,4,2,6,3,5] => 1
[2,6,3,5,4,1] => [1,2,6,3,5,4] => 1
[2,6,4,1,3,5] => [1,3,5,2,6,4] => 1
[2,6,4,1,5,3] => [1,5,2,6,3,4] => 1
[2,6,4,3,1,5] => [1,5,2,6,3,4] => 1
[2,6,4,3,5,1] => [1,2,6,3,5,4] => 1
[2,6,4,5,1,3] => [1,3,2,6,4,5] => 1
[2,6,4,5,3,1] => [1,2,6,3,4,5] => 1
[2,6,5,1,3,4] => [1,3,4,2,6,5] => 1
[2,6,5,1,4,3] => [1,4,2,6,3,5] => 1
[2,6,5,3,1,4] => [1,4,2,6,3,5] => 1
[2,6,5,3,4,1] => [1,2,6,3,4,5] => 1
[2,6,5,4,1,3] => [1,3,2,6,4,5] => 1
[2,6,5,4,3,1] => [1,2,6,3,4,5] => 1
[3,1,2,4,5,6] => [1,2,4,5,6,3] => 1
[3,1,2,4,6,5] => [1,2,4,6,3,5] => 1
[3,1,2,5,4,6] => [1,2,5,3,4,6] => 1
[3,1,2,5,6,4] => [1,2,5,6,3,4] => 1
[3,1,2,6,4,5] => [1,2,6,3,4,5] => 1
[3,1,2,6,5,4] => [1,2,6,3,4,5] => 1
[3,1,4,2,5,6] => [1,4,2,5,6,3] => 1
[3,1,4,2,6,5] => [1,4,2,6,3,5] => 1
[3,1,4,5,2,6] => [1,4,5,2,6,3] => 1
[3,1,4,5,6,2] => [1,4,5,6,2,3] => 1
[3,1,4,6,2,5] => [1,4,6,2,5,3] => 1
[3,1,4,6,5,2] => [1,4,6,2,3,5] => 1
[3,1,5,2,4,6] => [1,5,2,4,6,3] => 1
[3,1,5,2,6,4] => [1,5,2,6,3,4] => 1
[3,1,5,4,2,6] => [1,5,2,6,3,4] => 1
[3,1,5,4,6,2] => [1,5,2,3,4,6] => 1
[3,1,5,6,2,4] => [1,5,6,2,4,3] => 1
[3,1,5,6,4,2] => [1,5,6,2,3,4] => 1
[3,1,6,2,4,5] => [1,6,2,4,5,3] => 1
[3,1,6,2,5,4] => [1,6,2,5,3,4] => 1
[3,1,6,4,2,5] => [1,6,2,5,3,4] => 1
[3,1,6,4,5,2] => [1,6,2,3,4,5] => 1
[3,1,6,5,2,4] => [1,6,2,4,3,5] => 1
[3,1,6,5,4,2] => [1,6,2,3,4,5] => 1
[3,2,1,4,5,6] => [1,4,5,6,2,3] => 1
[3,2,1,4,6,5] => [1,4,6,2,3,5] => 1
[3,2,1,5,4,6] => [1,5,2,3,4,6] => 1
[3,2,1,5,6,4] => [1,5,6,2,3,4] => 1
[3,2,1,6,4,5] => [1,6,2,3,4,5] => 1
[3,2,1,6,5,4] => [1,6,2,3,4,5] => 1
[3,2,4,1,5,6] => [1,5,6,2,4,3] => 1
[3,2,4,1,6,5] => [1,6,2,4,3,5] => 1
[3,2,4,5,1,6] => [1,6,2,4,5,3] => 1
[3,2,4,5,6,1] => [1,2,4,5,6,3] => 1
[3,2,4,6,1,5] => [1,5,2,4,6,3] => 1
[3,2,4,6,5,1] => [1,2,4,6,3,5] => 1
[3,2,5,1,4,6] => [1,4,6,2,5,3] => 1
[3,2,5,1,6,4] => [1,6,2,5,3,4] => 1
[3,2,5,4,1,6] => [1,6,2,5,3,4] => 1
[3,2,5,4,6,1] => [1,2,5,3,4,6] => 1
[3,2,5,6,1,4] => [1,4,2,5,6,3] => 1
[3,2,5,6,4,1] => [1,2,5,6,3,4] => 1
[3,2,6,1,4,5] => [1,4,5,2,6,3] => 1
[3,2,6,1,5,4] => [1,5,2,6,3,4] => 1
[3,2,6,4,1,5] => [1,5,2,6,3,4] => 1
[3,2,6,4,5,1] => [1,2,6,3,4,5] => 1
[3,2,6,5,1,4] => [1,4,2,6,3,5] => 1
[3,2,6,5,4,1] => [1,2,6,3,4,5] => 1
[3,4,1,2,5,6] => [1,2,5,6,3,4] => 1
[3,4,1,2,6,5] => [1,2,6,3,4,5] => 1
[3,4,1,5,2,6] => [1,5,2,6,3,4] => 1
[3,4,1,5,6,2] => [1,5,6,2,3,4] => 1
[3,4,1,6,2,5] => [1,6,2,5,3,4] => 1
[3,4,1,6,5,2] => [1,6,2,3,4,5] => 1
[3,4,2,1,5,6] => [1,5,6,2,3,4] => 1
[3,4,2,1,6,5] => [1,6,2,3,4,5] => 1
[3,4,2,5,1,6] => [1,6,2,5,3,4] => 1
[3,4,2,5,6,1] => [1,2,5,6,3,4] => 1
[3,4,2,6,1,5] => [1,5,2,6,3,4] => 1
[3,4,2,6,5,1] => [1,2,6,3,4,5] => 1
[3,4,5,1,2,6] => [1,2,6,3,4,5] => 1
[3,4,5,1,6,2] => [1,6,2,3,4,5] => 1
[3,4,5,2,1,6] => [1,6,2,3,4,5] => 1
[3,4,5,2,6,1] => [1,2,6,3,4,5] => 1
[3,4,5,6,1,2] => [1,2,3,4,5,6] => 1
[3,4,5,6,2,1] => [1,2,3,4,5,6] => 1
[3,4,6,1,2,5] => [1,2,5,3,4,6] => 1
[3,4,6,1,5,2] => [1,5,2,3,4,6] => 1
[3,4,6,2,1,5] => [1,5,2,3,4,6] => 1
[3,4,6,2,5,1] => [1,2,5,3,4,6] => 1
[3,4,6,5,1,2] => [1,2,3,4,6,5] => 1
[3,4,6,5,2,1] => [1,2,3,4,6,5] => 1
[3,5,1,2,4,6] => [1,2,4,6,3,5] => 1
[3,5,1,2,6,4] => [1,2,6,3,5,4] => 1
[3,5,1,4,2,6] => [1,4,2,6,3,5] => 1
[3,5,1,4,6,2] => [1,4,6,2,3,5] => 1
[3,5,1,6,2,4] => [1,6,2,4,3,5] => 1
[3,5,1,6,4,2] => [1,6,2,3,5,4] => 1
[3,5,2,1,4,6] => [1,4,6,2,3,5] => 1
[3,5,2,1,6,4] => [1,6,2,3,5,4] => 1
[3,5,2,4,1,6] => [1,6,2,4,3,5] => 1
[3,5,2,4,6,1] => [1,2,4,6,3,5] => 1
[3,5,2,6,1,4] => [1,4,2,6,3,5] => 1
[3,5,2,6,4,1] => [1,2,6,3,5,4] => 1
[3,5,4,1,2,6] => [1,2,6,3,5,4] => 1
[3,5,4,1,6,2] => [1,6,2,3,5,4] => 1
[3,5,4,2,1,6] => [1,6,2,3,5,4] => 1
[3,5,4,2,6,1] => [1,2,6,3,5,4] => 1
[3,5,4,6,1,2] => [1,2,3,5,4,6] => 1
[3,5,4,6,2,1] => [1,2,3,5,4,6] => 1
[3,5,6,1,2,4] => [1,2,4,3,5,6] => 1
[3,5,6,1,4,2] => [1,4,2,3,5,6] => 1
[3,5,6,2,1,4] => [1,4,2,3,5,6] => 1
[3,5,6,2,4,1] => [1,2,4,3,5,6] => 1
[3,5,6,4,1,2] => [1,2,3,5,6,4] => 1
[3,5,6,4,2,1] => [1,2,3,5,6,4] => 1
[3,6,1,2,4,5] => [1,2,4,5,3,6] => 1
[3,6,1,2,5,4] => [1,2,5,3,6,4] => 1
[3,6,1,4,2,5] => [1,4,2,5,3,6] => 1
[3,6,1,4,5,2] => [1,4,5,2,3,6] => 1
[3,6,1,5,2,4] => [1,5,2,4,3,6] => 1
[3,6,1,5,4,2] => [1,5,2,3,6,4] => 1
[3,6,2,1,4,5] => [1,4,5,2,3,6] => 1
[3,6,2,1,5,4] => [1,5,2,3,6,4] => 1
[3,6,2,4,1,5] => [1,5,2,4,3,6] => 1
[3,6,2,4,5,1] => [1,2,4,5,3,6] => 1
[3,6,2,5,1,4] => [1,4,2,5,3,6] => 1
[3,6,2,5,4,1] => [1,2,5,3,6,4] => 1
[3,6,4,1,2,5] => [1,2,5,3,6,4] => 1
[3,6,4,1,5,2] => [1,5,2,3,6,4] => 1
[3,6,4,2,1,5] => [1,5,2,3,6,4] => 1
[3,6,4,2,5,1] => [1,2,5,3,6,4] => 1
[3,6,4,5,1,2] => [1,2,3,6,4,5] => 1
[3,6,4,5,2,1] => [1,2,3,6,4,5] => 1
[3,6,5,1,2,4] => [1,2,4,3,6,5] => 1
[3,6,5,1,4,2] => [1,4,2,3,6,5] => 1
[3,6,5,2,1,4] => [1,4,2,3,6,5] => 1
[3,6,5,2,4,1] => [1,2,4,3,6,5] => 1
[3,6,5,4,1,2] => [1,2,3,6,4,5] => 1
[3,6,5,4,2,1] => [1,2,3,6,4,5] => 1
[4,1,2,3,5,6] => [1,2,3,5,6,4] => 1
[4,1,2,3,6,5] => [1,2,3,6,4,5] => 1
[4,1,2,5,3,6] => [1,2,5,3,6,4] => 1
[4,1,2,5,6,3] => [1,2,5,6,3,4] => 1
[4,1,2,6,3,5] => [1,2,6,3,5,4] => 1
[4,1,2,6,5,3] => [1,2,6,3,4,5] => 1
[4,1,3,2,5,6] => [1,3,2,5,6,4] => 1
[4,1,3,2,6,5] => [1,3,2,6,4,5] => 1
[4,1,3,5,2,6] => [1,3,5,2,6,4] => 1
[4,1,3,5,6,2] => [1,3,5,6,2,4] => 1
[4,1,3,6,2,5] => [1,3,6,2,5,4] => 1
[4,1,3,6,5,2] => [1,3,6,2,4,5] => 1
[4,1,5,2,3,6] => [1,5,2,3,6,4] => 1
[4,1,5,2,6,3] => [1,5,2,6,3,4] => 1
[4,1,5,3,2,6] => [1,5,2,6,3,4] => 1
[4,1,5,3,6,2] => [1,5,2,3,6,4] => 1
[4,1,5,6,2,3] => [1,5,6,2,3,4] => 1
[4,1,5,6,3,2] => [1,5,6,2,3,4] => 1
[4,1,6,2,3,5] => [1,6,2,3,5,4] => 1
[4,1,6,2,5,3] => [1,6,2,5,3,4] => 1
[4,1,6,3,2,5] => [1,6,2,5,3,4] => 1
[4,1,6,3,5,2] => [1,6,2,3,5,4] => 1
[4,1,6,5,2,3] => [1,6,2,3,4,5] => 1
[4,1,6,5,3,2] => [1,6,2,3,4,5] => 1
[4,2,1,3,5,6] => [1,3,5,6,2,4] => 1
[4,2,1,3,6,5] => [1,3,6,2,4,5] => 1
[4,2,1,5,3,6] => [1,5,2,3,6,4] => 1
[4,2,1,5,6,3] => [1,5,6,2,3,4] => 1
[4,2,1,6,3,5] => [1,6,2,3,5,4] => 1
[4,2,1,6,5,3] => [1,6,2,3,4,5] => 1
[4,2,3,1,5,6] => [1,5,6,2,3,4] => 1
[4,2,3,1,6,5] => [1,6,2,3,4,5] => 1
[4,2,3,5,1,6] => [1,6,2,3,5,4] => 1
[4,2,3,5,6,1] => [1,2,3,5,6,4] => 1
[4,2,3,6,1,5] => [1,5,2,3,6,4] => 1
[4,2,3,6,5,1] => [1,2,3,6,4,5] => 1
[4,2,5,1,3,6] => [1,3,6,2,5,4] => 1
[4,2,5,1,6,3] => [1,6,2,5,3,4] => 1
[4,2,5,3,1,6] => [1,6,2,5,3,4] => 1
[4,2,5,3,6,1] => [1,2,5,3,6,4] => 1
[4,2,5,6,1,3] => [1,3,2,5,6,4] => 1
[4,2,5,6,3,1] => [1,2,5,6,3,4] => 1
[4,2,6,1,3,5] => [1,3,5,2,6,4] => 1
[4,2,6,1,5,3] => [1,5,2,6,3,4] => 1
[4,2,6,3,1,5] => [1,5,2,6,3,4] => 1
[4,2,6,3,5,1] => [1,2,6,3,5,4] => 1
[4,2,6,5,1,3] => [1,3,2,6,4,5] => 1
[4,2,6,5,3,1] => [1,2,6,3,4,5] => 1
[4,3,1,2,5,6] => [1,2,5,6,3,4] => 1
[4,3,1,2,6,5] => [1,2,6,3,4,5] => 1
[4,3,1,5,2,6] => [1,5,2,6,3,4] => 1
[4,3,1,5,6,2] => [1,5,6,2,3,4] => 1
[4,3,1,6,2,5] => [1,6,2,5,3,4] => 1
[4,3,1,6,5,2] => [1,6,2,3,4,5] => 1
[4,3,2,1,5,6] => [1,5,6,2,3,4] => 1
[4,3,2,1,6,5] => [1,6,2,3,4,5] => 1
[4,3,2,5,1,6] => [1,6,2,5,3,4] => 1
[4,3,2,5,6,1] => [1,2,5,6,3,4] => 1
[4,3,2,6,1,5] => [1,5,2,6,3,4] => 1
[4,3,2,6,5,1] => [1,2,6,3,4,5] => 1
[4,3,5,1,2,6] => [1,2,6,3,5,4] => 1
[4,3,5,1,6,2] => [1,6,2,3,5,4] => 1
[4,3,5,2,1,6] => [1,6,2,3,5,4] => 1
[4,3,5,2,6,1] => [1,2,6,3,5,4] => 1
[4,3,5,6,1,2] => [1,2,3,5,6,4] => 1
[4,3,5,6,2,1] => [1,2,3,5,6,4] => 1
[4,3,6,1,2,5] => [1,2,5,3,6,4] => 1
[4,3,6,1,5,2] => [1,5,2,3,6,4] => 1
[4,3,6,2,1,5] => [1,5,2,3,6,4] => 1
[4,3,6,2,5,1] => [1,2,5,3,6,4] => 1
[4,3,6,5,1,2] => [1,2,3,6,4,5] => 1
[4,3,6,5,2,1] => [1,2,3,6,4,5] => 1
[4,5,1,2,3,6] => [1,2,3,6,4,5] => 1
[4,5,1,2,6,3] => [1,2,6,3,4,5] => 1
[4,5,1,3,2,6] => [1,3,2,6,4,5] => 1
[4,5,1,3,6,2] => [1,3,6,2,4,5] => 1
[4,5,1,6,2,3] => [1,6,2,3,4,5] => 1
[4,5,1,6,3,2] => [1,6,2,3,4,5] => 1
[4,5,2,1,3,6] => [1,3,6,2,4,5] => 1
[4,5,2,1,6,3] => [1,6,2,3,4,5] => 1
[4,5,2,3,1,6] => [1,6,2,3,4,5] => 1
[4,5,2,3,6,1] => [1,2,3,6,4,5] => 1
[4,5,2,6,1,3] => [1,3,2,6,4,5] => 1
[4,5,2,6,3,1] => [1,2,6,3,4,5] => 1
[4,5,3,1,2,6] => [1,2,6,3,4,5] => 1
[4,5,3,1,6,2] => [1,6,2,3,4,5] => 1
[4,5,3,2,1,6] => [1,6,2,3,4,5] => 1
[4,5,3,2,6,1] => [1,2,6,3,4,5] => 1
[4,5,3,6,1,2] => [1,2,3,6,4,5] => 1
[4,5,3,6,2,1] => [1,2,3,6,4,5] => 1
[4,5,6,1,2,3] => [1,2,3,4,5,6] => 1
[4,5,6,1,3,2] => [1,3,2,4,5,6] => 1
[4,5,6,2,1,3] => [1,3,2,4,5,6] => 1
[4,5,6,2,3,1] => [1,2,3,4,5,6] => 1
[4,5,6,3,1,2] => [1,2,3,4,5,6] => 1
[4,5,6,3,2,1] => [1,2,3,4,5,6] => 1
[4,6,1,2,3,5] => [1,2,3,5,4,6] => 1
[4,6,1,2,5,3] => [1,2,5,3,4,6] => 1
[4,6,1,3,2,5] => [1,3,2,5,4,6] => 1
[4,6,1,3,5,2] => [1,3,5,2,4,6] => 1
[4,6,1,5,2,3] => [1,5,2,3,4,6] => 1
[4,6,1,5,3,2] => [1,5,2,3,4,6] => 1
[4,6,2,1,3,5] => [1,3,5,2,4,6] => 1
[4,6,2,1,5,3] => [1,5,2,3,4,6] => 1
[4,6,2,3,1,5] => [1,5,2,3,4,6] => 1
[4,6,2,3,5,1] => [1,2,3,5,4,6] => 1
[4,6,2,5,1,3] => [1,3,2,5,4,6] => 1
[4,6,2,5,3,1] => [1,2,5,3,4,6] => 1
[4,6,3,1,2,5] => [1,2,5,3,4,6] => 1
[4,6,3,1,5,2] => [1,5,2,3,4,6] => 1
[4,6,3,2,1,5] => [1,5,2,3,4,6] => 1
[4,6,3,2,5,1] => [1,2,5,3,4,6] => 1
[4,6,3,5,1,2] => [1,2,3,5,4,6] => 1
[4,6,3,5,2,1] => [1,2,3,5,4,6] => 1
[4,6,5,1,2,3] => [1,2,3,4,6,5] => 1
[4,6,5,1,3,2] => [1,3,2,4,6,5] => 1
[4,6,5,2,1,3] => [1,3,2,4,6,5] => 1
[4,6,5,2,3,1] => [1,2,3,4,6,5] => 1
[4,6,5,3,1,2] => [1,2,3,4,6,5] => 1
[4,6,5,3,2,1] => [1,2,3,4,6,5] => 1
[5,1,2,3,4,6] => [1,2,3,4,6,5] => 1
[5,1,2,3,6,4] => [1,2,3,6,4,5] => 1
[5,1,2,4,3,6] => [1,2,4,3,6,5] => 1
[5,1,2,4,6,3] => [1,2,4,6,3,5] => 1
[5,1,2,6,3,4] => [1,2,6,3,4,5] => 1
[5,1,2,6,4,3] => [1,2,6,3,4,5] => 1
[5,1,3,2,4,6] => [1,3,2,4,6,5] => 1
[5,1,3,2,6,4] => [1,3,2,6,4,5] => 1
[5,1,3,4,2,6] => [1,3,4,2,6,5] => 1
[5,1,3,4,6,2] => [1,3,4,6,2,5] => 1
[5,1,3,6,2,4] => [1,3,6,2,4,5] => 1
[5,1,3,6,4,2] => [1,3,6,2,4,5] => 1
[5,1,4,2,3,6] => [1,4,2,3,6,5] => 1
[5,1,4,2,6,3] => [1,4,2,6,3,5] => 1
[5,1,4,3,2,6] => [1,4,2,6,3,5] => 1
[5,1,4,3,6,2] => [1,4,2,3,6,5] => 1
[5,1,4,6,2,3] => [1,4,6,2,3,5] => 1
[5,1,4,6,3,2] => [1,4,6,2,3,5] => 1
[5,1,6,2,3,4] => [1,6,2,3,4,5] => 1
[5,1,6,2,4,3] => [1,6,2,4,3,5] => 1
[5,1,6,3,2,4] => [1,6,2,4,3,5] => 1
[5,1,6,3,4,2] => [1,6,2,3,4,5] => 1
[5,1,6,4,2,3] => [1,6,2,3,4,5] => 1
[5,1,6,4,3,2] => [1,6,2,3,4,5] => 1
[5,2,1,3,4,6] => [1,3,4,6,2,5] => 1
[5,2,1,3,6,4] => [1,3,6,2,4,5] => 1
[5,2,1,4,3,6] => [1,4,2,3,6,5] => 1
[5,2,1,4,6,3] => [1,4,6,2,3,5] => 1
[5,2,1,6,3,4] => [1,6,2,3,4,5] => 1
[5,2,1,6,4,3] => [1,6,2,3,4,5] => 1
[5,2,3,1,4,6] => [1,4,6,2,3,5] => 1
[5,2,3,1,6,4] => [1,6,2,3,4,5] => 1
[5,2,3,4,1,6] => [1,6,2,3,4,5] => 1
[5,2,3,4,6,1] => [1,2,3,4,6,5] => 1
[5,2,3,6,1,4] => [1,4,2,3,6,5] => 1
[5,2,3,6,4,1] => [1,2,3,6,4,5] => 1
[5,2,4,1,3,6] => [1,3,6,2,4,5] => 1
[5,2,4,1,6,3] => [1,6,2,4,3,5] => 1
[5,2,4,3,1,6] => [1,6,2,4,3,5] => 1
[5,2,4,3,6,1] => [1,2,4,3,6,5] => 1
[5,2,4,6,1,3] => [1,3,2,4,6,5] => 1
[5,2,4,6,3,1] => [1,2,4,6,3,5] => 1
[5,2,6,1,3,4] => [1,3,4,2,6,5] => 1
[5,2,6,1,4,3] => [1,4,2,6,3,5] => 1
[5,2,6,3,1,4] => [1,4,2,6,3,5] => 1
[5,2,6,3,4,1] => [1,2,6,3,4,5] => 1
[5,2,6,4,1,3] => [1,3,2,6,4,5] => 1
[5,2,6,4,3,1] => [1,2,6,3,4,5] => 1
[5,3,1,2,4,6] => [1,2,4,6,3,5] => 1
[5,3,1,2,6,4] => [1,2,6,3,4,5] => 1
[5,3,1,4,2,6] => [1,4,2,6,3,5] => 1
[5,3,1,4,6,2] => [1,4,6,2,3,5] => 1
[5,3,1,6,2,4] => [1,6,2,4,3,5] => 1
[5,3,1,6,4,2] => [1,6,2,3,4,5] => 1
[5,3,2,1,4,6] => [1,4,6,2,3,5] => 1
[5,3,2,1,6,4] => [1,6,2,3,4,5] => 1
[5,3,2,4,1,6] => [1,6,2,4,3,5] => 1
[5,3,2,4,6,1] => [1,2,4,6,3,5] => 1
[5,3,2,6,1,4] => [1,4,2,6,3,5] => 1
[5,3,2,6,4,1] => [1,2,6,3,4,5] => 1
[5,3,4,1,2,6] => [1,2,6,3,4,5] => 1
[5,3,4,1,6,2] => [1,6,2,3,4,5] => 1
[5,3,4,2,1,6] => [1,6,2,3,4,5] => 1
[5,3,4,2,6,1] => [1,2,6,3,4,5] => 1
[5,3,4,6,1,2] => [1,2,3,4,6,5] => 1
[5,3,4,6,2,1] => [1,2,3,4,6,5] => 1
[5,3,6,1,2,4] => [1,2,4,3,6,5] => 1
[5,3,6,1,4,2] => [1,4,2,3,6,5] => 1
[5,3,6,2,1,4] => [1,4,2,3,6,5] => 1
[5,3,6,2,4,1] => [1,2,4,3,6,5] => 1
[5,3,6,4,1,2] => [1,2,3,6,4,5] => 1
[5,3,6,4,2,1] => [1,2,3,6,4,5] => 1
[5,4,1,2,3,6] => [1,2,3,6,4,5] => 1
[5,4,1,2,6,3] => [1,2,6,3,4,5] => 1
[5,4,1,3,2,6] => [1,3,2,6,4,5] => 1
[5,4,1,3,6,2] => [1,3,6,2,4,5] => 1
[5,4,1,6,2,3] => [1,6,2,3,4,5] => 1
[5,4,1,6,3,2] => [1,6,2,3,4,5] => 1
[5,4,2,1,3,6] => [1,3,6,2,4,5] => 1
[5,4,2,1,6,3] => [1,6,2,3,4,5] => 1
[5,4,2,3,1,6] => [1,6,2,3,4,5] => 1
[5,4,2,3,6,1] => [1,2,3,6,4,5] => 1
[5,4,2,6,1,3] => [1,3,2,6,4,5] => 1
[5,4,2,6,3,1] => [1,2,6,3,4,5] => 1
[5,4,3,1,2,6] => [1,2,6,3,4,5] => 1
[5,4,3,1,6,2] => [1,6,2,3,4,5] => 1
[5,4,3,2,1,6] => [1,6,2,3,4,5] => 1
[5,4,3,2,6,1] => [1,2,6,3,4,5] => 1
[5,4,3,6,1,2] => [1,2,3,6,4,5] => 1
[5,4,3,6,2,1] => [1,2,3,6,4,5] => 1
[5,4,6,1,2,3] => [1,2,3,4,6,5] => 1
[5,4,6,1,3,2] => [1,3,2,4,6,5] => 1
[5,4,6,2,1,3] => [1,3,2,4,6,5] => 1
[5,4,6,2,3,1] => [1,2,3,4,6,5] => 1
[5,4,6,3,1,2] => [1,2,3,4,6,5] => 1
[5,4,6,3,2,1] => [1,2,3,4,6,5] => 1
[5,6,1,2,3,4] => [1,2,3,4,5,6] => 1
[5,6,1,2,4,3] => [1,2,4,3,5,6] => 1
[5,6,1,3,2,4] => [1,3,2,4,5,6] => 1
[5,6,1,3,4,2] => [1,3,4,2,5,6] => 1
[5,6,1,4,2,3] => [1,4,2,3,5,6] => 1
[5,6,1,4,3,2] => [1,4,2,3,5,6] => 1
[5,6,2,1,3,4] => [1,3,4,2,5,6] => 1
[5,6,2,1,4,3] => [1,4,2,3,5,6] => 1
[5,6,2,3,1,4] => [1,4,2,3,5,6] => 1
[5,6,2,3,4,1] => [1,2,3,4,5,6] => 1
[5,6,2,4,1,3] => [1,3,2,4,5,6] => 1
[5,6,2,4,3,1] => [1,2,4,3,5,6] => 1
[5,6,3,1,2,4] => [1,2,4,3,5,6] => 1
[5,6,3,1,4,2] => [1,4,2,3,5,6] => 1
[5,6,3,2,1,4] => [1,4,2,3,5,6] => 1
[5,6,3,2,4,1] => [1,2,4,3,5,6] => 1
[5,6,3,4,1,2] => [1,2,3,4,5,6] => 1
[5,6,3,4,2,1] => [1,2,3,4,5,6] => 1
[5,6,4,1,2,3] => [1,2,3,4,5,6] => 1
[5,6,4,1,3,2] => [1,3,2,4,5,6] => 1
[5,6,4,2,1,3] => [1,3,2,4,5,6] => 1
[5,6,4,2,3,1] => [1,2,3,4,5,6] => 1
[5,6,4,3,1,2] => [1,2,3,4,5,6] => 1
[5,6,4,3,2,1] => [1,2,3,4,5,6] => 1
[6,1,2,3,4,5] => [1,2,3,4,5,6] => 1
[6,1,2,3,5,4] => [1,2,3,5,4,6] => 1
[6,1,2,4,3,5] => [1,2,4,3,5,6] => 1
[6,1,2,4,5,3] => [1,2,4,5,3,6] => 1
[6,1,2,5,3,4] => [1,2,5,3,4,6] => 1
[6,1,2,5,4,3] => [1,2,5,3,4,6] => 1
[6,1,3,2,4,5] => [1,3,2,4,5,6] => 1
[6,1,3,2,5,4] => [1,3,2,5,4,6] => 1
[6,1,3,4,2,5] => [1,3,4,2,5,6] => 1
[6,1,3,4,5,2] => [1,3,4,5,2,6] => 1
[6,1,3,5,2,4] => [1,3,5,2,4,6] => 1
[6,1,3,5,4,2] => [1,3,5,2,4,6] => 1
[6,1,4,2,3,5] => [1,4,2,3,5,6] => 1
[6,1,4,2,5,3] => [1,4,2,5,3,6] => 1
[6,1,4,3,2,5] => [1,4,2,5,3,6] => 1
[6,1,4,3,5,2] => [1,4,2,3,5,6] => 1
[6,1,4,5,2,3] => [1,4,5,2,3,6] => 1
[6,1,4,5,3,2] => [1,4,5,2,3,6] => 1
[6,1,5,2,3,4] => [1,5,2,3,4,6] => 1
[6,1,5,2,4,3] => [1,5,2,4,3,6] => 1
[6,1,5,3,2,4] => [1,5,2,4,3,6] => 1
[6,1,5,3,4,2] => [1,5,2,3,4,6] => 1
[6,1,5,4,2,3] => [1,5,2,3,4,6] => 1
[6,1,5,4,3,2] => [1,5,2,3,4,6] => 1
[6,2,1,3,4,5] => [1,3,4,5,2,6] => 1
[6,2,1,3,5,4] => [1,3,5,2,4,6] => 1
[6,2,1,4,3,5] => [1,4,2,3,5,6] => 1
[6,2,1,4,5,3] => [1,4,5,2,3,6] => 1
[6,2,1,5,3,4] => [1,5,2,3,4,6] => 1
[6,2,1,5,4,3] => [1,5,2,3,4,6] => 1
[6,2,3,1,4,5] => [1,4,5,2,3,6] => 1
[6,2,3,1,5,4] => [1,5,2,3,4,6] => 1
[6,2,3,4,1,5] => [1,5,2,3,4,6] => 1
[6,2,3,4,5,1] => [1,2,3,4,5,6] => 1
[6,2,3,5,1,4] => [1,4,2,3,5,6] => 1
[6,2,3,5,4,1] => [1,2,3,5,4,6] => 1
[6,2,4,1,3,5] => [1,3,5,2,4,6] => 1
[6,2,4,1,5,3] => [1,5,2,4,3,6] => 1
[6,2,4,3,1,5] => [1,5,2,4,3,6] => 1
[6,2,4,3,5,1] => [1,2,4,3,5,6] => 1
[6,2,4,5,1,3] => [1,3,2,4,5,6] => 1
[6,2,4,5,3,1] => [1,2,4,5,3,6] => 1
[6,2,5,1,3,4] => [1,3,4,2,5,6] => 1
[6,2,5,1,4,3] => [1,4,2,5,3,6] => 1
[6,2,5,3,1,4] => [1,4,2,5,3,6] => 1
[6,2,5,3,4,1] => [1,2,5,3,4,6] => 1
[6,2,5,4,1,3] => [1,3,2,5,4,6] => 1
[6,2,5,4,3,1] => [1,2,5,3,4,6] => 1
[6,3,1,2,4,5] => [1,2,4,5,3,6] => 1
[6,3,1,2,5,4] => [1,2,5,3,4,6] => 1
[6,3,1,4,2,5] => [1,4,2,5,3,6] => 1
[6,3,1,4,5,2] => [1,4,5,2,3,6] => 1
[6,3,1,5,2,4] => [1,5,2,4,3,6] => 1
[6,3,1,5,4,2] => [1,5,2,3,4,6] => 1
[6,3,2,1,4,5] => [1,4,5,2,3,6] => 1
[6,3,2,1,5,4] => [1,5,2,3,4,6] => 1
[6,3,2,4,1,5] => [1,5,2,4,3,6] => 1
[6,3,2,4,5,1] => [1,2,4,5,3,6] => 1
[6,3,2,5,1,4] => [1,4,2,5,3,6] => 1
[6,3,2,5,4,1] => [1,2,5,3,4,6] => 1
[6,3,4,1,2,5] => [1,2,5,3,4,6] => 1
[6,3,4,1,5,2] => [1,5,2,3,4,6] => 1
[6,3,4,2,1,5] => [1,5,2,3,4,6] => 1
[6,3,4,2,5,1] => [1,2,5,3,4,6] => 1
[6,3,4,5,1,2] => [1,2,3,4,5,6] => 1
[6,3,4,5,2,1] => [1,2,3,4,5,6] => 1
[6,3,5,1,2,4] => [1,2,4,3,5,6] => 1
[6,3,5,1,4,2] => [1,4,2,3,5,6] => 1
[6,3,5,2,1,4] => [1,4,2,3,5,6] => 1
[6,3,5,2,4,1] => [1,2,4,3,5,6] => 1
[6,3,5,4,1,2] => [1,2,3,5,4,6] => 1
[6,3,5,4,2,1] => [1,2,3,5,4,6] => 1
[6,4,1,2,3,5] => [1,2,3,5,4,6] => 1
[6,4,1,2,5,3] => [1,2,5,3,4,6] => 1
[6,4,1,3,2,5] => [1,3,2,5,4,6] => 1
[6,4,1,3,5,2] => [1,3,5,2,4,6] => 1
[6,4,1,5,2,3] => [1,5,2,3,4,6] => 1
[6,4,1,5,3,2] => [1,5,2,3,4,6] => 1
[6,4,2,1,3,5] => [1,3,5,2,4,6] => 1
[6,4,2,1,5,3] => [1,5,2,3,4,6] => 1
[6,4,2,3,1,5] => [1,5,2,3,4,6] => 1
[6,4,2,3,5,1] => [1,2,3,5,4,6] => 1
[6,4,2,5,1,3] => [1,3,2,5,4,6] => 1
[6,4,2,5,3,1] => [1,2,5,3,4,6] => 1
[6,4,3,1,2,5] => [1,2,5,3,4,6] => 1
[6,4,3,1,5,2] => [1,5,2,3,4,6] => 1
[6,4,3,2,1,5] => [1,5,2,3,4,6] => 1
[6,4,3,2,5,1] => [1,2,5,3,4,6] => 1
[6,4,3,5,1,2] => [1,2,3,5,4,6] => 1
[6,4,3,5,2,1] => [1,2,3,5,4,6] => 1
[6,4,5,1,2,3] => [1,2,3,4,5,6] => 1
[6,4,5,1,3,2] => [1,3,2,4,5,6] => 1
[6,4,5,2,1,3] => [1,3,2,4,5,6] => 1
[6,4,5,2,3,1] => [1,2,3,4,5,6] => 1
[6,4,5,3,1,2] => [1,2,3,4,5,6] => 1
[6,4,5,3,2,1] => [1,2,3,4,5,6] => 1
[6,5,1,2,3,4] => [1,2,3,4,5,6] => 1
[6,5,1,2,4,3] => [1,2,4,3,5,6] => 1
[6,5,1,3,2,4] => [1,3,2,4,5,6] => 1
[6,5,1,3,4,2] => [1,3,4,2,5,6] => 1
[6,5,1,4,2,3] => [1,4,2,3,5,6] => 1
[6,5,1,4,3,2] => [1,4,2,3,5,6] => 1
[6,5,2,1,3,4] => [1,3,4,2,5,6] => 1
[6,5,2,1,4,3] => [1,4,2,3,5,6] => 1
[6,5,2,3,1,4] => [1,4,2,3,5,6] => 1
[6,5,2,3,4,1] => [1,2,3,4,5,6] => 1
[6,5,2,4,1,3] => [1,3,2,4,5,6] => 1
[6,5,2,4,3,1] => [1,2,4,3,5,6] => 1
[6,5,3,1,2,4] => [1,2,4,3,5,6] => 1
[6,5,3,1,4,2] => [1,4,2,3,5,6] => 1
[6,5,3,2,1,4] => [1,4,2,3,5,6] => 1
[6,5,3,2,4,1] => [1,2,4,3,5,6] => 1
[6,5,3,4,1,2] => [1,2,3,4,5,6] => 1
[6,5,3,4,2,1] => [1,2,3,4,5,6] => 1
[6,5,4,1,2,3] => [1,2,3,4,5,6] => 1
[6,5,4,1,3,2] => [1,3,2,4,5,6] => 1
[6,5,4,2,1,3] => [1,3,2,4,5,6] => 1
[6,5,4,2,3,1] => [1,2,3,4,5,6] => 1
[6,5,4,3,1,2] => [1,2,3,4,5,6] => 1
[6,5,4,3,2,1] => [1,2,3,4,5,6] => 1
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 1
[1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 1
[1,2,3,4,6,7,5] => [1,2,3,4,6,7,5] => 1
[1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => 1
[1,2,3,4,7,6,5] => [1,2,3,4,7,5,6] => 1
[1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 1
[1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => 1
[1,2,3,5,6,4,7] => [1,2,3,5,6,4,7] => 1
[1,2,3,5,6,7,4] => [1,2,3,5,6,7,4] => 1
[1,2,3,5,7,4,6] => [1,2,3,5,7,4,6] => 1
[1,2,3,5,7,6,4] => [1,2,3,5,7,4,6] => 1
[1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => 1
[1,2,3,6,4,7,5] => [1,2,3,6,4,7,5] => 1
[1,2,3,6,5,4,7] => [1,2,3,6,4,7,5] => 1
[1,2,3,6,5,7,4] => [1,2,3,6,4,5,7] => 1
[1,2,3,6,7,4,5] => [1,2,3,6,7,4,5] => 1
[1,2,3,6,7,5,4] => [1,2,3,6,7,4,5] => 1
[1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => 1
[1,2,3,7,4,6,5] => [1,2,3,7,4,6,5] => 1
[1,2,3,7,5,4,6] => [1,2,3,7,4,6,5] => 1
[1,2,3,7,5,6,4] => [1,2,3,7,4,5,6] => 1
[1,2,3,7,6,4,5] => [1,2,3,7,4,5,6] => 1
[1,2,3,7,6,5,4] => [1,2,3,7,4,5,6] => 1
[1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 1
[1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => 1
[1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => 1
[1,2,4,3,6,7,5] => [1,2,4,3,6,7,5] => 1
[1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => 1
[1,2,4,3,7,6,5] => [1,2,4,3,7,5,6] => 1
[1,2,4,5,3,6,7] => [1,2,4,5,3,6,7] => 1
[1,2,4,5,3,7,6] => [1,2,4,5,3,7,6] => 1
[1,2,4,5,6,3,7] => [1,2,4,5,6,3,7] => 1
[1,2,4,5,6,7,3] => [1,2,4,5,6,7,3] => 1
[1,2,4,5,7,3,6] => [1,2,4,5,7,3,6] => 1
[1,2,4,5,7,6,3] => [1,2,4,5,7,3,6] => 1
[1,2,4,6,3,5,7] => [1,2,4,6,3,5,7] => 1
[1,2,4,6,3,7,5] => [1,2,4,6,3,7,5] => 1
[1,2,4,6,5,3,7] => [1,2,4,6,3,7,5] => 1
[1,2,4,6,5,7,3] => [1,2,4,6,3,5,7] => 1
[1,2,4,6,7,3,5] => [1,2,4,6,7,3,5] => 1
[1,2,4,6,7,5,3] => [1,2,4,6,7,3,5] => 1
[1,2,4,7,3,5,6] => [1,2,4,7,3,5,6] => 1
[1,2,4,7,3,6,5] => [1,2,4,7,3,6,5] => 1
[1,2,4,7,5,3,6] => [1,2,4,7,3,6,5] => 1
[1,2,4,7,5,6,3] => [1,2,4,7,3,5,6] => 1
[1,2,4,7,6,3,5] => [1,2,4,7,3,5,6] => 1
[1,2,4,7,6,5,3] => [1,2,4,7,3,5,6] => 1
[1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => 1
[1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => 1
[1,2,5,3,6,4,7] => [1,2,5,3,6,4,7] => 1
[1,2,5,3,6,7,4] => [1,2,5,3,6,7,4] => 1
[1,2,5,3,7,4,6] => [1,2,5,3,7,4,6] => 1
[1,2,5,3,7,6,4] => [1,2,5,3,7,4,6] => 1
[1,2,5,4,3,6,7] => [1,2,5,3,6,7,4] => 1
[1,2,5,4,3,7,6] => [1,2,5,3,7,4,6] => 1
[1,2,5,4,6,3,7] => [1,2,5,3,7,4,6] => 1
[1,2,5,4,6,7,3] => [1,2,5,3,4,6,7] => 1
[1,2,5,4,7,3,6] => [1,2,5,3,6,4,7] => 1
[1,2,5,4,7,6,3] => [1,2,5,3,4,7,6] => 1
[1,2,5,6,3,4,7] => [1,2,5,6,3,4,7] => 1
[1,2,5,6,3,7,4] => [1,2,5,6,3,7,4] => 1
[1,2,5,6,4,3,7] => [1,2,5,6,3,7,4] => 1
[1,2,5,6,4,7,3] => [1,2,5,6,3,4,7] => 1
[1,2,5,6,7,3,4] => [1,2,5,6,7,3,4] => 1
[1,2,5,6,7,4,3] => [1,2,5,6,7,3,4] => 1
[1,2,5,7,3,4,6] => [1,2,5,7,3,4,6] => 1
[1,2,5,7,3,6,4] => [1,2,5,7,3,6,4] => 1
[1,2,5,7,4,3,6] => [1,2,5,7,3,6,4] => 1
[1,2,5,7,4,6,3] => [1,2,5,7,3,4,6] => 1
[1,2,5,7,6,3,4] => [1,2,5,7,3,4,6] => 1
[1,2,5,7,6,4,3] => [1,2,5,7,3,4,6] => 1
[1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => 1
[1,2,6,3,4,7,5] => [1,2,6,3,4,7,5] => 1
[1,2,6,3,5,4,7] => [1,2,6,3,5,4,7] => 1
[1,2,6,3,5,7,4] => [1,2,6,3,5,7,4] => 1
[1,2,6,3,7,4,5] => [1,2,6,3,7,4,5] => 1
[1,2,6,3,7,5,4] => [1,2,6,3,7,4,5] => 1
[1,2,6,4,3,5,7] => [1,2,6,3,5,7,4] => 1
[1,2,6,4,3,7,5] => [1,2,6,3,7,4,5] => 1
[1,2,6,4,5,3,7] => [1,2,6,3,7,4,5] => 1
[1,2,6,4,5,7,3] => [1,2,6,3,4,5,7] => 1
[1,2,6,4,7,3,5] => [1,2,6,3,5,4,7] => 1
[1,2,6,4,7,5,3] => [1,2,6,3,4,7,5] => 1
[1,2,6,5,3,4,7] => [1,2,6,3,4,7,5] => 1
[1,2,6,5,3,7,4] => [1,2,6,3,7,4,5] => 1
[1,2,6,5,4,3,7] => [1,2,6,3,7,4,5] => 1
[1,2,6,5,4,7,3] => [1,2,6,3,4,7,5] => 1
[1,2,6,5,7,3,4] => [1,2,6,3,4,5,7] => 1
[1,2,6,5,7,4,3] => [1,2,6,3,4,5,7] => 1
[1,2,6,7,3,4,5] => [1,2,6,7,3,4,5] => 1
[1,2,6,7,3,5,4] => [1,2,6,7,3,5,4] => 1
[1,2,6,7,4,3,5] => [1,2,6,7,3,5,4] => 1
[1,2,6,7,4,5,3] => [1,2,6,7,3,4,5] => 1
[1,2,6,7,5,3,4] => [1,2,6,7,3,4,5] => 1
[1,2,6,7,5,4,3] => [1,2,6,7,3,4,5] => 1
[1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => 1
[1,2,7,3,4,6,5] => [1,2,7,3,4,6,5] => 1
[1,2,7,3,5,4,6] => [1,2,7,3,5,4,6] => 1
[1,2,7,3,5,6,4] => [1,2,7,3,5,6,4] => 1
[1,2,7,3,6,4,5] => [1,2,7,3,6,4,5] => 1
[1,2,7,3,6,5,4] => [1,2,7,3,6,4,5] => 1
[1,2,7,4,3,5,6] => [1,2,7,3,5,6,4] => 1
[1,2,7,4,3,6,5] => [1,2,7,3,6,4,5] => 1
[1,2,7,4,5,3,6] => [1,2,7,3,6,4,5] => 1
[1,2,7,4,5,6,3] => [1,2,7,3,4,5,6] => 1
[1,2,7,4,6,3,5] => [1,2,7,3,5,4,6] => 1
[1,2,7,4,6,5,3] => [1,2,7,3,4,6,5] => 1
[1,2,7,5,3,4,6] => [1,2,7,3,4,6,5] => 1
[1,2,7,5,3,6,4] => [1,2,7,3,6,4,5] => 1
[1,2,7,5,4,3,6] => [1,2,7,3,6,4,5] => 1
[1,2,7,5,4,6,3] => [1,2,7,3,4,6,5] => 1
[1,2,7,5,6,3,4] => [1,2,7,3,4,5,6] => 1
[1,2,7,5,6,4,3] => [1,2,7,3,4,5,6] => 1
[1,2,7,6,3,4,5] => [1,2,7,3,4,5,6] => 1
[1,2,7,6,3,5,4] => [1,2,7,3,5,4,6] => 1
[1,2,7,6,4,3,5] => [1,2,7,3,5,4,6] => 1
[1,2,7,6,4,5,3] => [1,2,7,3,4,5,6] => 1
[1,2,7,6,5,3,4] => [1,2,7,3,4,5,6] => 1
[1,2,7,6,5,4,3] => [1,2,7,3,4,5,6] => 1
[1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => 1
[1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => 1
[1,3,2,4,6,7,5] => [1,3,2,4,6,7,5] => 1
[1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => 1
[1,3,2,4,7,6,5] => [1,3,2,4,7,5,6] => 1
[1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => 1
[1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => 1
[1,3,2,5,6,4,7] => [1,3,2,5,6,4,7] => 1
[1,3,2,5,6,7,4] => [1,3,2,5,6,7,4] => 1
[1,3,2,5,7,4,6] => [1,3,2,5,7,4,6] => 1
[1,3,2,5,7,6,4] => [1,3,2,5,7,4,6] => 1
[1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => 1
[1,3,2,6,4,7,5] => [1,3,2,6,4,7,5] => 1
[1,3,2,6,5,4,7] => [1,3,2,6,4,7,5] => 1
[1,3,2,6,5,7,4] => [1,3,2,6,4,5,7] => 1
[1,3,2,6,7,4,5] => [1,3,2,6,7,4,5] => 1
[1,3,2,6,7,5,4] => [1,3,2,6,7,4,5] => 1
[1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => 1
[1,3,2,7,4,6,5] => [1,3,2,7,4,6,5] => 1
[1,3,2,7,5,4,6] => [1,3,2,7,4,6,5] => 1
[1,3,2,7,5,6,4] => [1,3,2,7,4,5,6] => 1
[1,3,2,7,6,4,5] => [1,3,2,7,4,5,6] => 1
[1,3,2,7,6,5,4] => [1,3,2,7,4,5,6] => 1
[1,3,4,2,5,6,7] => [1,3,4,2,5,6,7] => 1
[1,3,4,2,5,7,6] => [1,3,4,2,5,7,6] => 1
[1,3,4,2,6,5,7] => [1,3,4,2,6,5,7] => 1
[1,3,4,2,6,7,5] => [1,3,4,2,6,7,5] => 1
[1,3,4,2,7,5,6] => [1,3,4,2,7,5,6] => 1
[1,3,4,2,7,6,5] => [1,3,4,2,7,5,6] => 1
[1,3,4,5,2,6,7] => [1,3,4,5,2,6,7] => 1
[1,3,4,5,2,7,6] => [1,3,4,5,2,7,6] => 1
[1,3,4,5,6,2,7] => [1,3,4,5,6,2,7] => 1
[1,3,4,5,6,7,2] => [1,3,4,5,6,7,2] => 1
[1,3,4,5,7,2,6] => [1,3,4,5,7,2,6] => 1
[1,3,4,5,7,6,2] => [1,3,4,5,7,2,6] => 1
[1,3,4,6,2,5,7] => [1,3,4,6,2,5,7] => 1
[1,3,4,6,2,7,5] => [1,3,4,6,2,7,5] => 1
[1,3,4,6,5,2,7] => [1,3,4,6,2,7,5] => 1
[1,3,4,6,5,7,2] => [1,3,4,6,2,5,7] => 1
[1,3,4,6,7,2,5] => [1,3,4,6,7,2,5] => 1
[1,3,4,6,7,5,2] => [1,3,4,6,7,2,5] => 1
[1,3,4,7,2,5,6] => [1,3,4,7,2,5,6] => 1
[1,3,4,7,2,6,5] => [1,3,4,7,2,6,5] => 1
[1,3,4,7,5,2,6] => [1,3,4,7,2,6,5] => 1
[1,3,4,7,5,6,2] => [1,3,4,7,2,5,6] => 1
[1,3,4,7,6,2,5] => [1,3,4,7,2,5,6] => 1
[1,3,4,7,6,5,2] => [1,3,4,7,2,5,6] => 1
[1,3,5,2,4,6,7] => [1,3,5,2,4,6,7] => 1
[1,3,5,2,4,7,6] => [1,3,5,2,4,7,6] => 1
[1,3,5,2,6,4,7] => [1,3,5,2,6,4,7] => 1
[1,3,5,2,6,7,4] => [1,3,5,2,6,7,4] => 1
[1,3,5,2,7,4,6] => [1,3,5,2,7,4,6] => 1
[1,3,5,2,7,6,4] => [1,3,5,2,7,4,6] => 1
[1,3,5,4,2,6,7] => [1,3,5,2,6,7,4] => 1
[1,3,5,4,2,7,6] => [1,3,5,2,7,4,6] => 1
[1,3,5,4,6,2,7] => [1,3,5,2,7,4,6] => 1
[1,3,5,4,6,7,2] => [1,3,5,2,4,6,7] => 1
[1,3,5,4,7,2,6] => [1,3,5,2,6,4,7] => 1
[1,3,5,4,7,6,2] => [1,3,5,2,4,7,6] => 1
[1,3,5,6,2,4,7] => [1,3,5,6,2,4,7] => 1
[1,3,5,6,2,7,4] => [1,3,5,6,2,7,4] => 1
[1,3,5,6,4,2,7] => [1,3,5,6,2,7,4] => 1
[1,3,5,6,4,7,2] => [1,3,5,6,2,4,7] => 1
[1,3,5,6,7,2,4] => [1,3,5,6,7,2,4] => 1
[1,3,5,6,7,4,2] => [1,3,5,6,7,2,4] => 1
[1,3,5,7,2,4,6] => [1,3,5,7,2,4,6] => 1
[1,3,5,7,2,6,4] => [1,3,5,7,2,6,4] => 1
[1,3,5,7,4,2,6] => [1,3,5,7,2,6,4] => 1
[1,3,5,7,4,6,2] => [1,3,5,7,2,4,6] => 1
[1,3,5,7,6,2,4] => [1,3,5,7,2,4,6] => 1
[1,3,5,7,6,4,2] => [1,3,5,7,2,4,6] => 1
[1,3,6,2,4,5,7] => [1,3,6,2,4,5,7] => 1
[1,3,6,2,4,7,5] => [1,3,6,2,4,7,5] => 1
[1,3,6,2,5,4,7] => [1,3,6,2,5,4,7] => 1
[1,3,6,2,5,7,4] => [1,3,6,2,5,7,4] => 1
[1,3,6,2,7,4,5] => [1,3,6,2,7,4,5] => 1
[1,3,6,2,7,5,4] => [1,3,6,2,7,4,5] => 1
[1,3,6,4,2,5,7] => [1,3,6,2,5,7,4] => 1
[1,3,6,4,2,7,5] => [1,3,6,2,7,4,5] => 1
[1,3,6,4,5,2,7] => [1,3,6,2,7,4,5] => 1
[1,3,6,4,5,7,2] => [1,3,6,2,4,5,7] => 1
[1,3,6,4,7,2,5] => [1,3,6,2,5,4,7] => 1
[1,3,6,4,7,5,2] => [1,3,6,2,4,7,5] => 1
[1,3,6,5,2,4,7] => [1,3,6,2,4,7,5] => 1
[1,3,6,5,2,7,4] => [1,3,6,2,7,4,5] => 1
[1,3,6,5,4,2,7] => [1,3,6,2,7,4,5] => 1
[1,3,6,5,4,7,2] => [1,3,6,2,4,7,5] => 1
[1,3,6,5,7,2,4] => [1,3,6,2,4,5,7] => 1
[1,3,6,5,7,4,2] => [1,3,6,2,4,5,7] => 1
[1,3,6,7,2,4,5] => [1,3,6,7,2,4,5] => 1
[1,3,6,7,2,5,4] => [1,3,6,7,2,5,4] => 1
[1,3,6,7,4,2,5] => [1,3,6,7,2,5,4] => 1
[1,3,6,7,4,5,2] => [1,3,6,7,2,4,5] => 1
[1,3,6,7,5,2,4] => [1,3,6,7,2,4,5] => 1
[1,3,6,7,5,4,2] => [1,3,6,7,2,4,5] => 1
[1,3,7,2,4,5,6] => [1,3,7,2,4,5,6] => 1
[1,3,7,2,4,6,5] => [1,3,7,2,4,6,5] => 1
[1,3,7,2,5,4,6] => [1,3,7,2,5,4,6] => 1
[1,3,7,2,5,6,4] => [1,3,7,2,5,6,4] => 1
[1,3,7,2,6,4,5] => [1,3,7,2,6,4,5] => 1
[1,3,7,2,6,5,4] => [1,3,7,2,6,4,5] => 1
[1,3,7,4,2,5,6] => [1,3,7,2,5,6,4] => 1
[1,3,7,4,2,6,5] => [1,3,7,2,6,4,5] => 1
[1,3,7,4,5,2,6] => [1,3,7,2,6,4,5] => 1
[1,3,7,4,5,6,2] => [1,3,7,2,4,5,6] => 1
[1,3,7,4,6,2,5] => [1,3,7,2,5,4,6] => 1
[1,3,7,4,6,5,2] => [1,3,7,2,4,6,5] => 1
[1,3,7,5,2,4,6] => [1,3,7,2,4,6,5] => 1
[1,3,7,5,2,6,4] => [1,3,7,2,6,4,5] => 1
[1,3,7,5,4,2,6] => [1,3,7,2,6,4,5] => 1
[1,3,7,5,4,6,2] => [1,3,7,2,4,6,5] => 1
[1,3,7,5,6,2,4] => [1,3,7,2,4,5,6] => 1
[1,3,7,5,6,4,2] => [1,3,7,2,4,5,6] => 1
[1,3,7,6,2,4,5] => [1,3,7,2,4,5,6] => 1
[1,3,7,6,2,5,4] => [1,3,7,2,5,4,6] => 1
[1,3,7,6,4,2,5] => [1,3,7,2,5,4,6] => 1
[1,3,7,6,4,5,2] => [1,3,7,2,4,5,6] => 1
[1,3,7,6,5,2,4] => [1,3,7,2,4,5,6] => 1
[1,3,7,6,5,4,2] => [1,3,7,2,4,5,6] => 1
[1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => 1
[1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => 1
[1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => 1
[1,4,2,3,6,7,5] => [1,4,2,3,6,7,5] => 1
[1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => 1
[1,4,2,3,7,6,5] => [1,4,2,3,7,5,6] => 1
[1,4,2,5,3,6,7] => [1,4,2,5,3,6,7] => 1
[1,4,2,5,3,7,6] => [1,4,2,5,3,7,6] => 1
[1,4,2,5,6,3,7] => [1,4,2,5,6,3,7] => 1
[1,4,2,5,6,7,3] => [1,4,2,5,6,7,3] => 1
[1,4,2,5,7,3,6] => [1,4,2,5,7,3,6] => 1
[1,4,2,5,7,6,3] => [1,4,2,5,7,3,6] => 1
[1,4,2,6,3,5,7] => [1,4,2,6,3,5,7] => 1
[1,4,2,6,3,7,5] => [1,4,2,6,3,7,5] => 1
[1,4,2,6,5,3,7] => [1,4,2,6,3,7,5] => 1
[1,4,2,6,5,7,3] => [1,4,2,6,3,5,7] => 1
[1,4,2,6,7,3,5] => [1,4,2,6,7,3,5] => 1
[1,4,2,6,7,5,3] => [1,4,2,6,7,3,5] => 1
[1,4,2,7,3,5,6] => [1,4,2,7,3,5,6] => 1
[1,4,2,7,3,6,5] => [1,4,2,7,3,6,5] => 1
[1,4,2,7,5,3,6] => [1,4,2,7,3,6,5] => 1
[1,4,2,7,5,6,3] => [1,4,2,7,3,5,6] => 1
[1,4,2,7,6,3,5] => [1,4,2,7,3,5,6] => 1
[1,4,2,7,6,5,3] => [1,4,2,7,3,5,6] => 1
[1,4,3,2,5,6,7] => [1,4,2,5,6,7,3] => 1
[1,4,3,2,5,7,6] => [1,4,2,5,7,3,6] => 1
[1,4,3,2,6,5,7] => [1,4,2,6,3,5,7] => 1
[1,4,3,2,6,7,5] => [1,4,2,6,7,3,5] => 1
[1,4,3,2,7,5,6] => [1,4,2,7,3,5,6] => 1
[1,4,3,2,7,6,5] => [1,4,2,7,3,5,6] => 1
[1,4,3,5,2,6,7] => [1,4,2,6,7,3,5] => 1
[1,4,3,5,2,7,6] => [1,4,2,7,3,5,6] => 1
[1,4,3,5,6,2,7] => [1,4,2,7,3,5,6] => 1
[1,4,3,5,6,7,2] => [1,4,2,3,5,6,7] => 1
[1,4,3,5,7,2,6] => [1,4,2,6,3,5,7] => 1
[1,4,3,5,7,6,2] => [1,4,2,3,5,7,6] => 1
[1,4,3,6,2,5,7] => [1,4,2,5,7,3,6] => 1
[1,4,3,6,2,7,5] => [1,4,2,7,3,6,5] => 1
[1,4,3,6,5,2,7] => [1,4,2,7,3,6,5] => 1
[1,4,3,6,5,7,2] => [1,4,2,3,6,5,7] => 1
[1,4,3,6,7,2,5] => [1,4,2,5,3,6,7] => 1
[1,4,3,6,7,5,2] => [1,4,2,3,6,7,5] => 1
[1,4,3,7,2,5,6] => [1,4,2,5,6,3,7] => 1
[1,4,3,7,2,6,5] => [1,4,2,6,3,7,5] => 1
[1,4,3,7,5,2,6] => [1,4,2,6,3,7,5] => 1
[1,4,3,7,5,6,2] => [1,4,2,3,7,5,6] => 1
[1,4,3,7,6,2,5] => [1,4,2,5,3,7,6] => 1
[1,4,3,7,6,5,2] => [1,4,2,3,7,5,6] => 1
[1,4,5,2,3,6,7] => [1,4,5,2,3,6,7] => 1
[1,4,5,2,3,7,6] => [1,4,5,2,3,7,6] => 1
[1,4,5,2,6,3,7] => [1,4,5,2,6,3,7] => 1
[1,4,5,2,6,7,3] => [1,4,5,2,6,7,3] => 1
[1,4,5,2,7,3,6] => [1,4,5,2,7,3,6] => 1
[1,4,5,2,7,6,3] => [1,4,5,2,7,3,6] => 1
[1,4,5,3,2,6,7] => [1,4,5,2,6,7,3] => 1
[1,4,5,3,2,7,6] => [1,4,5,2,7,3,6] => 1
[1,4,5,3,6,2,7] => [1,4,5,2,7,3,6] => 1
[1,4,5,3,6,7,2] => [1,4,5,2,3,6,7] => 1
[1,4,5,3,7,2,6] => [1,4,5,2,6,3,7] => 1
[1,4,5,3,7,6,2] => [1,4,5,2,3,7,6] => 1
[1,4,5,6,2,3,7] => [1,4,5,6,2,3,7] => 1
[1,4,5,6,2,7,3] => [1,4,5,6,2,7,3] => 1
[1,4,5,6,3,2,7] => [1,4,5,6,2,7,3] => 1
[1,4,5,6,3,7,2] => [1,4,5,6,2,3,7] => 1
[1,4,5,6,7,2,3] => [1,4,5,6,7,2,3] => 1
[1,4,5,6,7,3,2] => [1,4,5,6,7,2,3] => 1
[1,4,5,7,2,3,6] => [1,4,5,7,2,3,6] => 1
[1,4,5,7,2,6,3] => [1,4,5,7,2,6,3] => 1
[1,4,5,7,3,2,6] => [1,4,5,7,2,6,3] => 1
[1,4,5,7,3,6,2] => [1,4,5,7,2,3,6] => 1
[1,4,5,7,6,2,3] => [1,4,5,7,2,3,6] => 1
[1,4,5,7,6,3,2] => [1,4,5,7,2,3,6] => 1
[1,4,6,2,3,5,7] => [1,4,6,2,3,5,7] => 1
[1,4,6,2,3,7,5] => [1,4,6,2,3,7,5] => 1
[1,4,6,2,5,3,7] => [1,4,6,2,5,3,7] => 1
[1,4,6,2,5,7,3] => [1,4,6,2,5,7,3] => 1
[1,4,6,2,7,3,5] => [1,4,6,2,7,3,5] => 1
[1,4,6,2,7,5,3] => [1,4,6,2,7,3,5] => 1
[1,4,6,3,2,5,7] => [1,4,6,2,5,7,3] => 1
[1,4,6,3,2,7,5] => [1,4,6,2,7,3,5] => 1
[1,4,6,3,5,2,7] => [1,4,6,2,7,3,5] => 1
[1,4,6,3,5,7,2] => [1,4,6,2,3,5,7] => 1
[1,4,6,3,7,2,5] => [1,4,6,2,5,3,7] => 1
[1,4,6,3,7,5,2] => [1,4,6,2,3,7,5] => 1
[1,4,6,5,2,3,7] => [1,4,6,2,3,7,5] => 1
[1,4,6,5,2,7,3] => [1,4,6,2,7,3,5] => 1
[1,4,6,5,3,2,7] => [1,4,6,2,7,3,5] => 1
[1,4,6,5,3,7,2] => [1,4,6,2,3,7,5] => 1
[1,4,6,5,7,2,3] => [1,4,6,2,3,5,7] => 1
[1,4,6,5,7,3,2] => [1,4,6,2,3,5,7] => 1
[2,1,3,4,5,6,7] => [1,3,4,5,6,7,2] => 1
[2,1,3,4,5,7,6] => [1,3,4,5,7,2,6] => 1
[2,1,3,4,6,5,7] => [1,3,4,6,2,5,7] => 1
[2,1,3,4,6,7,5] => [1,3,4,6,7,2,5] => 1
[2,1,3,4,7,5,6] => [1,3,4,7,2,5,6] => 1
[2,1,3,4,7,6,5] => [1,3,4,7,2,5,6] => 1
[2,1,3,5,4,6,7] => [1,3,5,2,4,6,7] => 1
[2,1,3,5,4,7,6] => [1,3,5,2,4,7,6] => 1
[2,1,3,5,6,4,7] => [1,3,5,6,2,4,7] => 1
[2,1,3,5,6,7,4] => [1,3,5,6,7,2,4] => 1
[2,1,3,5,7,4,6] => [1,3,5,7,2,4,6] => 1
[2,1,3,5,7,6,4] => [1,3,5,7,2,4,6] => 1
[2,1,3,6,4,5,7] => [1,3,6,2,4,5,7] => 1
[2,1,3,6,4,7,5] => [1,3,6,2,4,7,5] => 1
[2,1,3,6,5,4,7] => [1,3,6,2,4,7,5] => 1
[2,1,3,6,5,7,4] => [1,3,6,2,4,5,7] => 1
[2,1,3,6,7,4,5] => [1,3,6,7,2,4,5] => 1
[2,1,3,6,7,5,4] => [1,3,6,7,2,4,5] => 1
[2,1,3,7,4,5,6] => [1,3,7,2,4,5,6] => 1
[2,1,3,7,4,6,5] => [1,3,7,2,4,6,5] => 1
[2,1,3,7,5,4,6] => [1,3,7,2,4,6,5] => 1
[2,1,3,7,5,6,4] => [1,3,7,2,4,5,6] => 1
[2,1,3,7,6,4,5] => [1,3,7,2,4,5,6] => 1
[2,1,3,7,6,5,4] => [1,3,7,2,4,5,6] => 1
[2,1,4,3,5,6,7] => [1,4,2,3,5,6,7] => 1
[2,1,4,3,5,7,6] => [1,4,2,3,5,7,6] => 1
[2,1,4,3,6,5,7] => [1,4,2,3,6,5,7] => 1
[2,1,4,3,6,7,5] => [1,4,2,3,6,7,5] => 1
[2,1,4,3,7,5,6] => [1,4,2,3,7,5,6] => 1
[2,1,4,3,7,6,5] => [1,4,2,3,7,5,6] => 1
[2,1,4,5,3,6,7] => [1,4,5,2,3,6,7] => 1
[2,1,4,5,3,7,6] => [1,4,5,2,3,7,6] => 1
[2,1,4,5,6,3,7] => [1,4,5,6,2,3,7] => 1
[2,1,4,5,6,7,3] => [1,4,5,6,7,2,3] => 1
[2,1,4,5,7,3,6] => [1,4,5,7,2,3,6] => 1
[2,1,4,5,7,6,3] => [1,4,5,7,2,3,6] => 1
[2,1,4,6,3,5,7] => [1,4,6,2,3,5,7] => 1
[2,1,4,6,3,7,5] => [1,4,6,2,3,7,5] => 1
[2,1,4,6,5,3,7] => [1,4,6,2,3,7,5] => 1
[2,1,4,6,5,7,3] => [1,4,6,2,3,5,7] => 1
[2,3,1,4,5,6,7] => [1,4,5,6,7,2,3] => 1
[2,3,1,4,5,7,6] => [1,4,5,7,2,3,6] => 1
[2,3,1,4,6,5,7] => [1,4,6,2,3,5,7] => 1
[2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 1
[2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => 1
[2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => 1
[2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 1
[2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 1
[2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => 1
[2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => 1
[2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => 1
[2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => 1
[2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => 1
[2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => 1
[2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => 1
[2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => 1
[2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => 1
[2,3,6,1,4,5,7] => [1,4,5,7,2,3,6] => 1
[2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => 1
[2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => 1
[2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => 1
[2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => 1
[2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 1
[2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => 1
[2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => 1
[2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => 1
[2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => 1
[2,3,7,1,4,5,6] => [1,4,5,6,2,3,7] => 1
[2,3,7,1,4,6,5] => [1,4,6,2,3,7,5] => 1
[2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => 1
[2,3,7,4,6,5,1] => [1,2,3,7,4,6,5] => 1
[2,3,7,5,1,4,6] => [1,4,6,2,3,7,5] => 1
[2,3,7,5,4,6,1] => [1,2,3,7,4,6,5] => 1
[2,3,7,5,6,1,4] => [1,4,2,3,7,5,6] => 1
[2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => 1
[2,3,7,6,1,4,5] => [1,4,5,2,3,7,6] => 1
[2,3,7,6,4,5,1] => [1,2,3,7,4,5,6] => 1
[2,3,7,6,5,1,4] => [1,4,2,3,7,5,6] => 1
[2,3,7,6,5,4,1] => [1,2,3,7,4,5,6] => 1
[2,4,1,3,5,6,7] => [1,3,5,6,7,2,4] => 1
[2,4,1,3,5,7,6] => [1,3,5,7,2,4,6] => 1
[2,4,1,3,6,5,7] => [1,3,6,2,4,5,7] => 1
[2,4,1,3,6,7,5] => [1,3,6,7,2,4,5] => 1
[2,4,1,3,7,5,6] => [1,3,7,2,4,5,6] => 1
[2,4,1,3,7,6,5] => [1,3,7,2,4,5,6] => 1
[2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => 1
[2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => 1
[2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => 1
[2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => 1
[2,4,3,7,5,6,1] => [1,2,4,3,7,5,6] => 1
[2,4,3,7,6,5,1] => [1,2,4,3,7,5,6] => 1
[2,4,5,1,3,6,7] => [1,3,6,7,2,4,5] => 1
[2,4,5,1,3,7,6] => [1,3,7,2,4,5,6] => 1
[2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => 1
[2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => 1
[2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => 1
[2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => 1
[2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => 1
[2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => 1
[2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => 1
[2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => 1
[2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => 1
[2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => 1
[2,4,6,1,3,5,7] => [1,3,5,7,2,4,6] => 1
[2,4,6,1,3,7,5] => [1,3,7,2,4,6,5] => 1
[2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => 1
[2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => 1
[2,4,6,5,1,3,7] => [1,3,7,2,4,6,5] => 1
[2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => 1
[2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => 1
[2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => 1
[2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => 1
[2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => 1
[2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => 1
[2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => 1
[2,4,7,1,3,5,6] => [1,3,5,6,2,4,7] => 1
[2,4,7,1,3,6,5] => [1,3,6,2,4,7,5] => 1
[2,4,7,3,5,6,1] => [1,2,4,7,3,5,6] => 1
[2,4,7,3,6,5,1] => [1,2,4,7,3,6,5] => 1
[2,4,7,5,1,3,6] => [1,3,6,2,4,7,5] => 1
[2,4,7,5,3,6,1] => [1,2,4,7,3,6,5] => 1
[2,4,7,5,6,1,3] => [1,3,2,4,7,5,6] => 1
[2,4,7,5,6,3,1] => [1,2,4,7,3,5,6] => 1
[2,4,7,6,1,3,5] => [1,3,5,2,4,7,6] => 1
[2,4,7,6,3,5,1] => [1,2,4,7,3,5,6] => 1
[2,4,7,6,5,1,3] => [1,3,2,4,7,5,6] => 1
[2,4,7,6,5,3,1] => [1,2,4,7,3,5,6] => 1
[2,5,1,3,4,6,7] => [1,3,4,6,7,2,5] => 1
[2,5,1,3,4,7,6] => [1,3,4,7,2,5,6] => 1
[2,5,1,3,6,4,7] => [1,3,6,2,5,4,7] => 1
[2,5,1,3,6,7,4] => [1,3,6,7,2,5,4] => 1
[2,5,1,3,7,4,6] => [1,3,7,2,5,4,6] => 1
[2,5,1,3,7,6,4] => [1,3,7,2,5,4,6] => 1
[2,5,1,4,3,6,7] => [1,4,2,5,3,6,7] => 1
[2,5,1,4,3,7,6] => [1,4,2,5,3,7,6] => 1
[2,5,1,4,6,3,7] => [1,4,6,2,5,3,7] => 1
[2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => 1
[2,5,3,4,7,6,1] => [1,2,5,3,4,7,6] => 1
[2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => 1
[2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => 1
[2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => 1
[2,5,3,7,1,4,6] => [1,4,6,2,5,3,7] => 1
[2,5,3,7,4,6,1] => [1,2,5,3,7,4,6] => 1
[2,5,3,7,6,1,4] => [1,4,2,5,3,7,6] => 1
[2,5,3,7,6,4,1] => [1,2,5,3,7,4,6] => 1
[2,5,4,1,3,6,7] => [1,3,6,7,2,5,4] => 1
[2,5,4,1,3,7,6] => [1,3,7,2,5,4,6] => 1
[2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => 1
[2,5,4,3,7,6,1] => [1,2,5,3,7,4,6] => 1
[2,5,4,6,1,3,7] => [1,3,7,2,5,4,6] => 1
[2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => 1
[2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => 1
[2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => 1
[2,5,4,7,1,3,6] => [1,3,6,2,5,4,7] => 1
[2,5,4,7,3,6,1] => [1,2,5,3,6,4,7] => 1
[2,5,4,7,6,1,3] => [1,3,2,5,4,7,6] => 1
[2,5,4,7,6,3,1] => [1,2,5,3,4,7,6] => 1
[2,5,6,1,3,4,7] => [1,3,4,7,2,5,6] => 1
[2,5,6,1,3,7,4] => [1,3,7,2,5,6,4] => 1
[2,5,6,1,4,3,7] => [1,4,2,5,6,3,7] => 1
[2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => 1
[2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => 1
[2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => 1
[2,5,6,4,1,3,7] => [1,3,7,2,5,6,4] => 1
[2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => 1
[2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => 1
[2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => 1
[2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => 1
[2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => 1
[2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => 1
[2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => 1
[2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => 1
[2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => 1
[2,5,7,1,3,4,6] => [1,3,4,6,2,5,7] => 1
[2,5,7,1,3,6,4] => [1,3,6,2,5,7,4] => 1
[2,5,7,1,4,3,6] => [1,4,2,5,7,3,6] => 1
[2,5,7,1,4,6,3] => [1,4,6,2,5,7,3] => 1
[2,5,7,3,1,4,6] => [1,4,6,2,5,7,3] => 1
[2,5,7,3,4,6,1] => [1,2,5,7,3,4,6] => 1
[2,5,7,3,6,1,4] => [1,4,2,5,7,3,6] => 1
[2,5,7,3,6,4,1] => [1,2,5,7,3,6,4] => 1
[2,5,7,4,1,3,6] => [1,3,6,2,5,7,4] => 1
[2,5,7,4,3,6,1] => [1,2,5,7,3,6,4] => 1
[2,5,7,4,6,1,3] => [1,3,2,5,7,4,6] => 1
[2,5,7,4,6,3,1] => [1,2,5,7,3,4,6] => 1
[2,5,7,6,1,3,4] => [1,3,4,2,5,7,6] => 1
[2,5,7,6,1,4,3] => [1,4,2,5,7,3,6] => 1
[2,5,7,6,3,1,4] => [1,4,2,5,7,3,6] => 1
[2,5,7,6,3,4,1] => [1,2,5,7,3,4,6] => 1
[2,5,7,6,4,1,3] => [1,3,2,5,7,4,6] => 1
[2,5,7,6,4,3,1] => [1,2,5,7,3,4,6] => 1
[2,6,1,3,4,5,7] => [1,3,4,5,7,2,6] => 1
[2,6,1,3,4,7,5] => [1,3,4,7,2,6,5] => 1
[2,6,1,3,5,4,7] => [1,3,5,2,6,4,7] => 1
[2,6,1,3,5,7,4] => [1,3,5,7,2,6,4] => 1
[2,6,1,3,7,4,5] => [1,3,7,2,6,4,5] => 1
[2,6,1,3,7,5,4] => [1,3,7,2,6,4,5] => 1
[2,6,1,4,3,5,7] => [1,4,2,6,3,5,7] => 1
[2,6,1,4,3,7,5] => [1,4,2,6,3,7,5] => 1
[2,6,1,4,5,3,7] => [1,4,5,2,6,3,7] => 1
[2,6,1,4,5,7,3] => [1,4,5,7,2,6,3] => 1
[2,6,3,1,4,5,7] => [1,4,5,7,2,6,3] => 1
[2,6,3,4,5,7,1] => [1,2,6,3,4,5,7] => 1
[2,6,3,4,7,5,1] => [1,2,6,3,4,7,5] => 1
[2,6,3,5,4,7,1] => [1,2,6,3,5,4,7] => 1
[2,6,3,5,7,1,4] => [1,4,2,6,3,5,7] => 1
[2,6,3,5,7,4,1] => [1,2,6,3,5,7,4] => 1
[2,6,3,7,1,4,5] => [1,4,5,2,6,3,7] => 1
[2,6,3,7,4,5,1] => [1,2,6,3,7,4,5] => 1
[2,6,3,7,5,1,4] => [1,4,2,6,3,7,5] => 1
[2,6,3,7,5,4,1] => [1,2,6,3,7,4,5] => 1
[2,6,4,1,3,5,7] => [1,3,5,7,2,6,4] => 1
[2,6,4,1,3,7,5] => [1,3,7,2,6,4,5] => 1
[2,6,4,3,5,7,1] => [1,2,6,3,5,7,4] => 1
[2,6,4,3,7,5,1] => [1,2,6,3,7,4,5] => 1
[2,6,4,5,1,3,7] => [1,3,7,2,6,4,5] => 1
[2,6,4,5,3,7,1] => [1,2,6,3,7,4,5] => 1
[2,6,4,5,7,1,3] => [1,3,2,6,4,5,7] => 1
[2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => 1
[2,6,4,7,1,3,5] => [1,3,5,2,6,4,7] => 1
[2,6,4,7,3,5,1] => [1,2,6,3,5,4,7] => 1
[2,6,4,7,5,1,3] => [1,3,2,6,4,7,5] => 1
[2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => 1
[2,6,5,1,3,4,7] => [1,3,4,7,2,6,5] => 1
[2,6,5,1,3,7,4] => [1,3,7,2,6,4,5] => 1
[2,6,5,1,4,3,7] => [1,4,2,6,3,7,5] => 1
[2,6,5,3,4,7,1] => [1,2,6,3,4,7,5] => 1
[2,6,5,3,7,1,4] => [1,4,2,6,3,7,5] => 1
[2,6,5,3,7,4,1] => [1,2,6,3,7,4,5] => 1
[2,6,5,4,1,3,7] => [1,3,7,2,6,4,5] => 1
[2,6,5,4,3,7,1] => [1,2,6,3,7,4,5] => 1
[2,6,5,4,7,1,3] => [1,3,2,6,4,7,5] => 1
[2,6,5,4,7,3,1] => [1,2,6,3,4,7,5] => 1
[2,6,5,7,1,3,4] => [1,3,4,2,6,5,7] => 1
[2,6,5,7,1,4,3] => [1,4,2,6,3,5,7] => 1
[2,6,5,7,3,1,4] => [1,4,2,6,3,5,7] => 1
[2,6,5,7,3,4,1] => [1,2,6,3,4,5,7] => 1
[2,6,5,7,4,1,3] => [1,3,2,6,4,5,7] => 1
[2,6,5,7,4,3,1] => [1,2,6,3,4,5,7] => 1
[2,6,7,1,3,4,5] => [1,3,4,5,2,6,7] => 1
[2,6,7,1,3,5,4] => [1,3,5,2,6,7,4] => 1
[2,6,7,1,4,3,5] => [1,4,2,6,7,3,5] => 1
[2,6,7,1,4,5,3] => [1,4,5,2,6,7,3] => 1
[2,6,7,3,1,4,5] => [1,4,5,2,6,7,3] => 1
[2,6,7,3,4,5,1] => [1,2,6,7,3,4,5] => 1
[2,6,7,3,5,1,4] => [1,4,2,6,7,3,5] => 1
[2,6,7,3,5,4,1] => [1,2,6,7,3,5,4] => 1
[2,6,7,4,1,3,5] => [1,3,5,2,6,7,4] => 1
[2,6,7,4,3,5,1] => [1,2,6,7,3,5,4] => 1
[2,6,7,4,5,1,3] => [1,3,2,6,7,4,5] => 1
[2,6,7,4,5,3,1] => [1,2,6,7,3,4,5] => 1
[2,6,7,5,1,3,4] => [1,3,4,2,6,7,5] => 1
[2,6,7,5,1,4,3] => [1,4,2,6,7,3,5] => 1
[2,6,7,5,3,1,4] => [1,4,2,6,7,3,5] => 1
[2,6,7,5,3,4,1] => [1,2,6,7,3,4,5] => 1
[2,6,7,5,4,1,3] => [1,3,2,6,7,4,5] => 1
[2,6,7,5,4,3,1] => [1,2,6,7,3,4,5] => 1
[2,7,1,3,4,5,6] => [1,3,4,5,6,2,7] => 1
[2,7,1,3,4,6,5] => [1,3,4,6,2,7,5] => 1
[2,7,1,3,5,4,6] => [1,3,5,2,7,4,6] => 1
[2,7,1,3,5,6,4] => [1,3,5,6,2,7,4] => 1
[2,7,1,3,6,4,5] => [1,3,6,2,7,4,5] => 1
[2,7,1,3,6,5,4] => [1,3,6,2,7,4,5] => 1
[2,7,1,4,3,5,6] => [1,4,2,7,3,5,6] => 1
[2,7,1,4,3,6,5] => [1,4,2,7,3,6,5] => 1
[2,7,1,4,5,3,6] => [1,4,5,2,7,3,6] => 1
[2,7,1,4,5,6,3] => [1,4,5,6,2,7,3] => 1
[2,7,1,4,6,3,5] => [1,4,6,2,7,3,5] => 1
[2,7,1,4,6,5,3] => [1,4,6,2,7,3,5] => 1
[2,7,3,1,4,5,6] => [1,4,5,6,2,7,3] => 1
[2,7,3,1,4,6,5] => [1,4,6,2,7,3,5] => 1
[2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => 1
[2,7,3,4,6,5,1] => [1,2,7,3,4,6,5] => 1
[2,7,3,5,1,4,6] => [1,4,6,2,7,3,5] => 1
[2,7,3,5,4,6,1] => [1,2,7,3,5,4,6] => 1
[2,7,3,5,6,1,4] => [1,4,2,7,3,5,6] => 1
[2,7,3,5,6,4,1] => [1,2,7,3,5,6,4] => 1
[2,7,3,6,1,4,5] => [1,4,5,2,7,3,6] => 1
[2,7,3,6,4,5,1] => [1,2,7,3,6,4,5] => 1
[2,7,3,6,5,1,4] => [1,4,2,7,3,6,5] => 1
[2,7,3,6,5,4,1] => [1,2,7,3,6,4,5] => 1
[2,7,4,1,3,5,6] => [1,3,5,6,2,7,4] => 1
[2,7,4,1,3,6,5] => [1,3,6,2,7,4,5] => 1
[2,7,4,3,5,6,1] => [1,2,7,3,5,6,4] => 1
[2,7,4,3,6,5,1] => [1,2,7,3,6,4,5] => 1
[2,7,4,5,1,3,6] => [1,3,6,2,7,4,5] => 1
[2,7,4,5,3,6,1] => [1,2,7,3,6,4,5] => 1
[2,7,4,5,6,1,3] => [1,3,2,7,4,5,6] => 1
[2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => 1
[2,7,4,6,1,3,5] => [1,3,5,2,7,4,6] => 1
[2,7,4,6,3,5,1] => [1,2,7,3,5,4,6] => 1
[2,7,4,6,5,1,3] => [1,3,2,7,4,6,5] => 1
[2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => 1
[2,7,5,1,3,4,6] => [1,3,4,6,2,7,5] => 1
[2,7,5,1,3,6,4] => [1,3,6,2,7,4,5] => 1
[2,7,5,1,4,3,6] => [1,4,2,7,3,6,5] => 1
[2,7,5,1,4,6,3] => [1,4,6,2,7,3,5] => 1
[2,7,5,3,1,4,6] => [1,4,6,2,7,3,5] => 1
[2,7,5,3,4,6,1] => [1,2,7,3,4,6,5] => 1
[2,7,5,3,6,1,4] => [1,4,2,7,3,6,5] => 1
[2,7,5,3,6,4,1] => [1,2,7,3,6,4,5] => 1
[2,7,5,4,1,3,6] => [1,3,6,2,7,4,5] => 1
[2,7,5,4,3,6,1] => [1,2,7,3,6,4,5] => 1
[2,7,5,4,6,1,3] => [1,3,2,7,4,6,5] => 1
[2,7,5,4,6,3,1] => [1,2,7,3,4,6,5] => 1
[2,7,5,6,1,3,4] => [1,3,4,2,7,5,6] => 1
[2,7,5,6,1,4,3] => [1,4,2,7,3,5,6] => 1
[2,7,5,6,3,1,4] => [1,4,2,7,3,5,6] => 1
[2,7,5,6,3,4,1] => [1,2,7,3,4,5,6] => 1
[2,7,5,6,4,1,3] => [1,3,2,7,4,5,6] => 1
[2,7,5,6,4,3,1] => [1,2,7,3,4,5,6] => 1
[2,7,6,1,3,4,5] => [1,3,4,5,2,7,6] => 1
[2,7,6,1,3,5,4] => [1,3,5,2,7,4,6] => 1
[2,7,6,1,4,3,5] => [1,4,2,7,3,5,6] => 1
[2,7,6,1,4,5,3] => [1,4,5,2,7,3,6] => 1
[2,7,6,3,1,4,5] => [1,4,5,2,7,3,6] => 1
[2,7,6,3,4,5,1] => [1,2,7,3,4,5,6] => 1
[2,7,6,3,5,1,4] => [1,4,2,7,3,5,6] => 1
[2,7,6,3,5,4,1] => [1,2,7,3,5,4,6] => 1
[2,7,6,4,1,3,5] => [1,3,5,2,7,4,6] => 1
[2,7,6,4,3,5,1] => [1,2,7,3,5,4,6] => 1
[2,7,6,4,5,1,3] => [1,3,2,7,4,5,6] => 1
[2,7,6,4,5,3,1] => [1,2,7,3,4,5,6] => 1
[2,7,6,5,1,3,4] => [1,3,4,2,7,5,6] => 1
[2,7,6,5,1,4,3] => [1,4,2,7,3,5,6] => 1
[2,7,6,5,3,1,4] => [1,4,2,7,3,5,6] => 1
[2,7,6,5,3,4,1] => [1,2,7,3,4,5,6] => 1
[2,7,6,5,4,1,3] => [1,3,2,7,4,5,6] => 1
[2,7,6,5,4,3,1] => [1,2,7,3,4,5,6] => 1
[3,1,2,4,5,6,7] => [1,2,4,5,6,7,3] => 1
[3,1,2,4,5,7,6] => [1,2,4,5,7,3,6] => 1
[3,1,2,4,6,5,7] => [1,2,4,6,3,5,7] => 1
[3,1,2,4,6,7,5] => [1,2,4,6,7,3,5] => 1
[3,1,2,4,7,5,6] => [1,2,4,7,3,5,6] => 1
[3,1,2,4,7,6,5] => [1,2,4,7,3,5,6] => 1
[3,1,2,5,4,6,7] => [1,2,5,3,4,6,7] => 1
[3,1,2,5,4,7,6] => [1,2,5,3,4,7,6] => 1
[3,1,2,5,6,4,7] => [1,2,5,6,3,4,7] => 1
[3,1,2,5,6,7,4] => [1,2,5,6,7,3,4] => 1
[3,1,2,5,7,4,6] => [1,2,5,7,3,4,6] => 1
[3,1,2,5,7,6,4] => [1,2,5,7,3,4,6] => 1
[3,1,2,6,4,5,7] => [1,2,6,3,4,5,7] => 1
[3,1,2,6,4,7,5] => [1,2,6,3,4,7,5] => 1
[3,1,2,6,5,4,7] => [1,2,6,3,4,7,5] => 1
[3,1,2,6,5,7,4] => [1,2,6,3,4,5,7] => 1
[3,1,2,6,7,4,5] => [1,2,6,7,3,4,5] => 1
[3,1,2,6,7,5,4] => [1,2,6,7,3,4,5] => 1
[3,1,2,7,4,5,6] => [1,2,7,3,4,5,6] => 1
[3,1,2,7,4,6,5] => [1,2,7,3,4,6,5] => 1
[3,1,2,7,5,4,6] => [1,2,7,3,4,6,5] => 1
[3,1,2,7,5,6,4] => [1,2,7,3,4,5,6] => 1
[3,1,2,7,6,4,5] => [1,2,7,3,4,5,6] => 1
[3,1,2,7,6,5,4] => [1,2,7,3,4,5,6] => 1
[3,1,4,2,5,6,7] => [1,4,2,5,6,7,3] => 1
[3,1,4,2,5,7,6] => [1,4,2,5,7,3,6] => 1
[3,1,4,2,6,5,7] => [1,4,2,6,3,5,7] => 1
[3,1,4,2,6,7,5] => [1,4,2,6,7,3,5] => 1
[3,1,4,2,7,5,6] => [1,4,2,7,3,5,6] => 1
[3,1,4,2,7,6,5] => [1,4,2,7,3,5,6] => 1
[3,1,4,5,2,6,7] => [1,4,5,2,6,7,3] => 1
[3,1,4,5,2,7,6] => [1,4,5,2,7,3,6] => 1
[3,1,4,5,6,2,7] => [1,4,5,6,2,7,3] => 1
[3,1,4,5,6,7,2] => [1,4,5,6,7,2,3] => 1
[3,1,4,5,7,2,6] => [1,4,5,7,2,6,3] => 1
[3,1,4,5,7,6,2] => [1,4,5,7,2,3,6] => 1
[3,1,4,6,2,5,7] => [1,4,6,2,5,7,3] => 1
[3,1,4,6,2,7,5] => [1,4,6,2,7,3,5] => 1
[3,1,4,6,5,2,7] => [1,4,6,2,7,3,5] => 1
[3,1,4,6,5,7,2] => [1,4,6,2,3,5,7] => 1
[3,2,1,4,5,6,7] => [1,4,5,6,7,2,3] => 1
[3,2,1,4,5,7,6] => [1,4,5,7,2,3,6] => 1
[3,2,1,4,6,5,7] => [1,4,6,2,3,5,7] => 1
[3,2,4,5,6,7,1] => [1,2,4,5,6,7,3] => 1
[3,2,4,5,7,6,1] => [1,2,4,5,7,3,6] => 1
[3,2,4,6,5,7,1] => [1,2,4,6,3,5,7] => 1
[3,2,4,6,7,5,1] => [1,2,4,6,7,3,5] => 1
[3,2,4,7,5,6,1] => [1,2,4,7,3,5,6] => 1
[3,2,4,7,6,5,1] => [1,2,4,7,3,5,6] => 1
[3,2,5,4,6,7,1] => [1,2,5,3,4,6,7] => 1
[3,2,5,4,7,6,1] => [1,2,5,3,4,7,6] => 1
[3,2,5,6,4,7,1] => [1,2,5,6,3,4,7] => 1
[3,2,5,6,7,1,4] => [1,4,2,5,6,7,3] => 1
[3,2,5,6,7,4,1] => [1,2,5,6,7,3,4] => 1
[3,2,5,7,1,4,6] => [1,4,6,2,5,7,3] => 1
[3,2,5,7,4,6,1] => [1,2,5,7,3,4,6] => 1
[3,2,5,7,6,1,4] => [1,4,2,5,7,3,6] => 1
[3,2,5,7,6,4,1] => [1,2,5,7,3,4,6] => 1
[3,2,6,1,4,5,7] => [1,4,5,7,2,6,3] => 1
[3,2,6,4,5,7,1] => [1,2,6,3,4,5,7] => 1
[3,2,6,4,7,5,1] => [1,2,6,3,4,7,5] => 1
[3,2,6,5,4,7,1] => [1,2,6,3,4,7,5] => 1
[3,2,6,5,7,1,4] => [1,4,2,6,3,5,7] => 1
[3,2,6,5,7,4,1] => [1,2,6,3,4,5,7] => 1
[3,2,6,7,1,4,5] => [1,4,5,2,6,7,3] => 1
[3,2,6,7,4,5,1] => [1,2,6,7,3,4,5] => 1
[3,2,6,7,5,1,4] => [1,4,2,6,7,3,5] => 1
[3,2,6,7,5,4,1] => [1,2,6,7,3,4,5] => 1
[3,2,7,1,4,5,6] => [1,4,5,6,2,7,3] => 1
[3,2,7,1,4,6,5] => [1,4,6,2,7,3,5] => 1
[3,2,7,4,5,6,1] => [1,2,7,3,4,5,6] => 1
[3,2,7,4,6,5,1] => [1,2,7,3,4,6,5] => 1
[3,2,7,5,1,4,6] => [1,4,6,2,7,3,5] => 1
[3,2,7,5,4,6,1] => [1,2,7,3,4,6,5] => 1
[3,2,7,5,6,1,4] => [1,4,2,7,3,5,6] => 1
[3,2,7,5,6,4,1] => [1,2,7,3,4,5,6] => 1
[3,2,7,6,1,4,5] => [1,4,5,2,7,3,6] => 1
[3,2,7,6,4,5,1] => [1,2,7,3,4,5,6] => 1
[3,2,7,6,5,1,4] => [1,4,2,7,3,5,6] => 1
[3,2,7,6,5,4,1] => [1,2,7,3,4,5,6] => 1
[3,4,1,2,5,6,7] => [1,2,5,6,7,3,4] => 1
[3,4,1,2,5,7,6] => [1,2,5,7,3,4,6] => 1
[3,4,1,2,6,5,7] => [1,2,6,3,4,5,7] => 1
[3,4,1,2,6,7,5] => [1,2,6,7,3,4,5] => 1
[3,4,1,2,7,5,6] => [1,2,7,3,4,5,6] => 1
[3,4,1,2,7,6,5] => [1,2,7,3,4,5,6] => 1
[3,4,2,5,6,7,1] => [1,2,5,6,7,3,4] => 1
[3,4,2,5,7,6,1] => [1,2,5,7,3,4,6] => 1
[3,4,2,6,5,7,1] => [1,2,6,3,4,5,7] => 1
[3,4,2,6,7,5,1] => [1,2,6,7,3,4,5] => 1
[3,4,2,7,5,6,1] => [1,2,7,3,4,5,6] => 1
[3,4,2,7,6,5,1] => [1,2,7,3,4,5,6] => 1
[3,4,5,1,2,6,7] => [1,2,6,7,3,4,5] => 1
[3,4,5,1,2,7,6] => [1,2,7,3,4,5,6] => 1
[3,4,5,2,6,7,1] => [1,2,6,7,3,4,5] => 1
[3,4,5,2,7,6,1] => [1,2,7,3,4,5,6] => 1
[3,4,5,6,1,2,7] => [1,2,7,3,4,5,6] => 1
[3,4,5,6,2,7,1] => [1,2,7,3,4,5,6] => 1
[3,4,5,6,7,1,2] => [1,2,3,4,5,6,7] => 1
[3,4,5,6,7,2,1] => [1,2,3,4,5,6,7] => 1
[3,4,5,7,1,2,6] => [1,2,6,3,4,5,7] => 1
[3,4,5,7,2,6,1] => [1,2,6,3,4,5,7] => 1
[3,4,5,7,6,1,2] => [1,2,3,4,5,7,6] => 1
[3,4,5,7,6,2,1] => [1,2,3,4,5,7,6] => 1
[3,4,6,1,2,5,7] => [1,2,5,7,3,4,6] => 1
[3,4,6,1,2,7,5] => [1,2,7,3,4,6,5] => 1
[3,4,6,2,5,7,1] => [1,2,5,7,3,4,6] => 1
[3,4,6,2,7,5,1] => [1,2,7,3,4,6,5] => 1
[3,4,6,5,1,2,7] => [1,2,7,3,4,6,5] => 1
[3,4,6,5,2,7,1] => [1,2,7,3,4,6,5] => 1
[3,4,6,5,7,1,2] => [1,2,3,4,6,5,7] => 1
[3,4,6,5,7,2,1] => [1,2,3,4,6,5,7] => 1
[3,4,6,7,1,2,5] => [1,2,5,3,4,6,7] => 1
[3,4,6,7,2,5,1] => [1,2,5,3,4,6,7] => 1
[3,4,6,7,5,1,2] => [1,2,3,4,6,7,5] => 1
[3,4,6,7,5,2,1] => [1,2,3,4,6,7,5] => 1
[3,4,7,1,2,5,6] => [1,2,5,6,3,4,7] => 1
[3,4,7,1,2,6,5] => [1,2,6,3,4,7,5] => 1
[3,4,7,2,5,6,1] => [1,2,5,6,3,4,7] => 1
[3,4,7,2,6,5,1] => [1,2,6,3,4,7,5] => 1
[3,4,7,5,1,2,6] => [1,2,6,3,4,7,5] => 1
[3,4,7,5,2,6,1] => [1,2,6,3,4,7,5] => 1
[3,4,7,5,6,1,2] => [1,2,3,4,7,5,6] => 1
[3,4,7,5,6,2,1] => [1,2,3,4,7,5,6] => 1
[3,4,7,6,1,2,5] => [1,2,5,3,4,7,6] => 1
[3,4,7,6,2,5,1] => [1,2,5,3,4,7,6] => 1
[3,4,7,6,5,1,2] => [1,2,3,4,7,5,6] => 1
[3,4,7,6,5,2,1] => [1,2,3,4,7,5,6] => 1
[3,5,1,2,4,6,7] => [1,2,4,6,7,3,5] => 1
[3,5,1,2,4,7,6] => [1,2,4,7,3,5,6] => 1
[3,5,1,2,6,4,7] => [1,2,6,3,5,4,7] => 1
[3,5,1,2,6,7,4] => [1,2,6,7,3,5,4] => 1
[3,5,1,2,7,4,6] => [1,2,7,3,5,4,6] => 1
[3,5,1,2,7,6,4] => [1,2,7,3,5,4,6] => 1
[3,5,1,4,2,6,7] => [1,4,2,6,7,3,5] => 1
[3,5,1,4,2,7,6] => [1,4,2,7,3,5,6] => 1
[3,5,1,4,6,2,7] => [1,4,6,2,7,3,5] => 1
[3,5,2,4,6,7,1] => [1,2,4,6,7,3,5] => 1
[3,5,2,4,7,6,1] => [1,2,4,7,3,5,6] => 1
[3,5,2,6,4,7,1] => [1,2,6,3,5,4,7] => 1
[3,5,2,6,7,1,4] => [1,4,2,6,7,3,5] => 1
[3,5,2,6,7,4,1] => [1,2,6,7,3,5,4] => 1
[3,5,2,7,1,4,6] => [1,4,6,2,7,3,5] => 1
[3,5,2,7,4,6,1] => [1,2,7,3,5,4,6] => 1
[3,5,2,7,6,1,4] => [1,4,2,7,3,5,6] => 1
[3,5,2,7,6,4,1] => [1,2,7,3,5,4,6] => 1
[3,5,4,1,2,6,7] => [1,2,6,7,3,5,4] => 1
[3,5,4,1,2,7,6] => [1,2,7,3,5,4,6] => 1
[3,5,4,2,6,7,1] => [1,2,6,7,3,5,4] => 1
[3,5,4,2,7,6,1] => [1,2,7,3,5,4,6] => 1
[3,5,4,6,1,2,7] => [1,2,7,3,5,4,6] => 1
[3,5,4,6,2,7,1] => [1,2,7,3,5,4,6] => 1
[3,5,4,6,7,1,2] => [1,2,3,5,4,6,7] => 1
[3,5,4,6,7,2,1] => [1,2,3,5,4,6,7] => 1
[3,5,4,7,1,2,6] => [1,2,6,3,5,4,7] => 1
[3,5,4,7,2,6,1] => [1,2,6,3,5,4,7] => 1
[3,5,4,7,6,1,2] => [1,2,3,5,4,7,6] => 1
[3,5,4,7,6,2,1] => [1,2,3,5,4,7,6] => 1
[3,5,6,1,2,4,7] => [1,2,4,7,3,5,6] => 1
[3,5,6,1,2,7,4] => [1,2,7,3,5,6,4] => 1
[3,5,6,1,4,2,7] => [1,4,2,7,3,5,6] => 1
[3,5,6,2,4,7,1] => [1,2,4,7,3,5,6] => 1
[3,5,6,2,7,1,4] => [1,4,2,7,3,5,6] => 1
[3,5,6,2,7,4,1] => [1,2,7,3,5,6,4] => 1
[3,5,6,4,1,2,7] => [1,2,7,3,5,6,4] => 1
[3,5,6,4,2,7,1] => [1,2,7,3,5,6,4] => 1
[3,5,6,4,7,1,2] => [1,2,3,5,6,4,7] => 1
[3,5,6,4,7,2,1] => [1,2,3,5,6,4,7] => 1
[3,5,6,7,1,2,4] => [1,2,4,3,5,6,7] => 1
[3,5,6,7,1,4,2] => [1,4,2,3,5,6,7] => 1
[3,5,6,7,2,1,4] => [1,4,2,3,5,6,7] => 1
[3,5,6,7,2,4,1] => [1,2,4,3,5,6,7] => 1
[3,5,6,7,4,1,2] => [1,2,3,5,6,7,4] => 1
[3,5,6,7,4,2,1] => [1,2,3,5,6,7,4] => 1
[3,5,7,1,2,4,6] => [1,2,4,6,3,5,7] => 1
[3,5,7,1,2,6,4] => [1,2,6,3,5,7,4] => 1
[3,5,7,1,4,2,6] => [1,4,2,6,3,5,7] => 1
[3,5,7,1,4,6,2] => [1,4,6,2,3,5,7] => 1
[3,5,7,2,1,4,6] => [1,4,6,2,3,5,7] => 1
[3,5,7,2,4,6,1] => [1,2,4,6,3,5,7] => 1
[3,5,7,2,6,1,4] => [1,4,2,6,3,5,7] => 1
[3,5,7,2,6,4,1] => [1,2,6,3,5,7,4] => 1
[3,5,7,4,1,2,6] => [1,2,6,3,5,7,4] => 1
[3,5,7,4,2,6,1] => [1,2,6,3,5,7,4] => 1
[3,5,7,4,6,1,2] => [1,2,3,5,7,4,6] => 1
[3,5,7,4,6,2,1] => [1,2,3,5,7,4,6] => 1
[3,5,7,6,1,2,4] => [1,2,4,3,5,7,6] => 1
[3,5,7,6,1,4,2] => [1,4,2,3,5,7,6] => 1
[3,5,7,6,2,1,4] => [1,4,2,3,5,7,6] => 1
[3,5,7,6,2,4,1] => [1,2,4,3,5,7,6] => 1
[3,5,7,6,4,1,2] => [1,2,3,5,7,4,6] => 1
[3,5,7,6,4,2,1] => [1,2,3,5,7,4,6] => 1
[3,6,1,2,4,5,7] => [1,2,4,5,7,3,6] => 1
[3,6,1,2,4,7,5] => [1,2,4,7,3,6,5] => 1
[3,6,1,2,5,4,7] => [1,2,5,3,6,4,7] => 1
[3,6,1,2,5,7,4] => [1,2,5,7,3,6,4] => 1
[3,6,1,2,7,4,5] => [1,2,7,3,6,4,5] => 1
[3,6,1,2,7,5,4] => [1,2,7,3,6,4,5] => 1
[3,6,1,4,2,5,7] => [1,4,2,5,7,3,6] => 1
[3,6,1,4,2,7,5] => [1,4,2,7,3,6,5] => 1
[3,6,1,4,5,2,7] => [1,4,5,2,7,3,6] => 1
[3,6,1,4,5,7,2] => [1,4,5,7,2,3,6] => 1
[3,6,2,1,4,5,7] => [1,4,5,7,2,3,6] => 1
[3,6,2,4,5,7,1] => [1,2,4,5,7,3,6] => 1
[3,6,2,4,7,5,1] => [1,2,4,7,3,6,5] => 1
[3,6,2,5,4,7,1] => [1,2,5,3,6,4,7] => 1
[3,6,2,5,7,1,4] => [1,4,2,5,7,3,6] => 1
[3,6,2,5,7,4,1] => [1,2,5,7,3,6,4] => 1
[3,6,2,7,1,4,5] => [1,4,5,2,7,3,6] => 1
[3,6,2,7,4,5,1] => [1,2,7,3,6,4,5] => 1
[3,6,2,7,5,1,4] => [1,4,2,7,3,6,5] => 1
[3,6,2,7,5,4,1] => [1,2,7,3,6,4,5] => 1
[3,6,4,1,2,5,7] => [1,2,5,7,3,6,4] => 1
[3,6,4,1,2,7,5] => [1,2,7,3,6,4,5] => 1
[3,6,4,2,5,7,1] => [1,2,5,7,3,6,4] => 1
[3,6,4,2,7,5,1] => [1,2,7,3,6,4,5] => 1
[3,6,4,5,1,2,7] => [1,2,7,3,6,4,5] => 1
[3,6,4,5,2,7,1] => [1,2,7,3,6,4,5] => 1
[3,6,4,5,7,1,2] => [1,2,3,6,4,5,7] => 1
[3,6,4,5,7,2,1] => [1,2,3,6,4,5,7] => 1
[3,6,4,7,1,2,5] => [1,2,5,3,6,4,7] => 1
[3,6,4,7,2,5,1] => [1,2,5,3,6,4,7] => 1
[3,6,4,7,5,1,2] => [1,2,3,6,4,7,5] => 1
[3,6,4,7,5,2,1] => [1,2,3,6,4,7,5] => 1
[3,6,5,1,2,4,7] => [1,2,4,7,3,6,5] => 1
[3,6,5,1,2,7,4] => [1,2,7,3,6,4,5] => 1
[3,6,5,1,4,2,7] => [1,4,2,7,3,6,5] => 1
[3,6,5,2,4,7,1] => [1,2,4,7,3,6,5] => 1
[3,6,5,2,7,1,4] => [1,4,2,7,3,6,5] => 1
[3,6,5,2,7,4,1] => [1,2,7,3,6,4,5] => 1
[3,6,5,4,1,2,7] => [1,2,7,3,6,4,5] => 1
[3,6,5,4,2,7,1] => [1,2,7,3,6,4,5] => 1
[3,6,5,4,7,1,2] => [1,2,3,6,4,7,5] => 1
[3,6,5,4,7,2,1] => [1,2,3,6,4,7,5] => 1
[3,6,5,7,1,2,4] => [1,2,4,3,6,5,7] => 1
[3,6,5,7,1,4,2] => [1,4,2,3,6,5,7] => 1
[3,6,5,7,2,1,4] => [1,4,2,3,6,5,7] => 1
[3,6,5,7,2,4,1] => [1,2,4,3,6,5,7] => 1
[3,6,5,7,4,1,2] => [1,2,3,6,4,5,7] => 1
[3,6,5,7,4,2,1] => [1,2,3,6,4,5,7] => 1
[3,6,7,1,2,4,5] => [1,2,4,5,3,6,7] => 1
[3,6,7,1,2,5,4] => [1,2,5,3,6,7,4] => 1
[3,6,7,1,4,2,5] => [1,4,2,5,3,6,7] => 1
[3,6,7,1,4,5,2] => [1,4,5,2,3,6,7] => 1
[3,6,7,2,1,4,5] => [1,4,5,2,3,6,7] => 1
[3,6,7,2,4,5,1] => [1,2,4,5,3,6,7] => 1
[3,6,7,2,5,1,4] => [1,4,2,5,3,6,7] => 1
[3,6,7,2,5,4,1] => [1,2,5,3,6,7,4] => 1
[3,6,7,4,1,2,5] => [1,2,5,3,6,7,4] => 1
[3,6,7,4,2,5,1] => [1,2,5,3,6,7,4] => 1
[3,6,7,4,5,1,2] => [1,2,3,6,7,4,5] => 1
[3,6,7,4,5,2,1] => [1,2,3,6,7,4,5] => 1
[3,6,7,5,1,2,4] => [1,2,4,3,6,7,5] => 1
[3,6,7,5,1,4,2] => [1,4,2,3,6,7,5] => 1
[3,6,7,5,2,1,4] => [1,4,2,3,6,7,5] => 1
[3,6,7,5,2,4,1] => [1,2,4,3,6,7,5] => 1
[3,6,7,5,4,1,2] => [1,2,3,6,7,4,5] => 1
[3,6,7,5,4,2,1] => [1,2,3,6,7,4,5] => 1
[3,7,1,2,4,5,6] => [1,2,4,5,6,3,7] => 1
[3,7,1,2,4,6,5] => [1,2,4,6,3,7,5] => 1
[3,7,1,2,5,4,6] => [1,2,5,3,7,4,6] => 1
[3,7,1,2,5,6,4] => [1,2,5,6,3,7,4] => 1
[3,7,1,2,6,4,5] => [1,2,6,3,7,4,5] => 1
[3,7,1,2,6,5,4] => [1,2,6,3,7,4,5] => 1
[3,7,1,4,2,5,6] => [1,4,2,5,6,3,7] => 1
[3,7,1,4,2,6,5] => [1,4,2,6,3,7,5] => 1
[3,7,1,4,5,2,6] => [1,4,5,2,6,3,7] => 1
[3,7,1,4,5,6,2] => [1,4,5,6,2,3,7] => 1
[3,7,1,4,6,2,5] => [1,4,6,2,5,3,7] => 1
[3,7,1,4,6,5,2] => [1,4,6,2,3,7,5] => 1
[3,7,2,1,4,5,6] => [1,4,5,6,2,3,7] => 1
[3,7,2,1,4,6,5] => [1,4,6,2,3,7,5] => 1
[3,7,2,4,5,6,1] => [1,2,4,5,6,3,7] => 1
[3,7,2,4,6,5,1] => [1,2,4,6,3,7,5] => 1
[3,7,2,5,1,4,6] => [1,4,6,2,5,3,7] => 1
[3,7,2,5,4,6,1] => [1,2,5,3,7,4,6] => 1
[3,7,2,5,6,1,4] => [1,4,2,5,6,3,7] => 1
[3,7,2,5,6,4,1] => [1,2,5,6,3,7,4] => 1
[3,7,2,6,1,4,5] => [1,4,5,2,6,3,7] => 1
[3,7,2,6,4,5,1] => [1,2,6,3,7,4,5] => 1
[3,7,2,6,5,1,4] => [1,4,2,6,3,7,5] => 1
[3,7,2,6,5,4,1] => [1,2,6,3,7,4,5] => 1
[3,7,4,1,2,5,6] => [1,2,5,6,3,7,4] => 1
[3,7,4,1,2,6,5] => [1,2,6,3,7,4,5] => 1
[3,7,4,2,5,6,1] => [1,2,5,6,3,7,4] => 1
[3,7,4,2,6,5,1] => [1,2,6,3,7,4,5] => 1
[3,7,4,5,1,2,6] => [1,2,6,3,7,4,5] => 1
[3,7,4,5,2,6,1] => [1,2,6,3,7,4,5] => 1
[3,7,4,5,6,1,2] => [1,2,3,7,4,5,6] => 1
[3,7,4,5,6,2,1] => [1,2,3,7,4,5,6] => 1
[3,7,4,6,1,2,5] => [1,2,5,3,7,4,6] => 1
[3,7,4,6,2,5,1] => [1,2,5,3,7,4,6] => 1
[3,7,4,6,5,1,2] => [1,2,3,7,4,6,5] => 1
[3,7,4,6,5,2,1] => [1,2,3,7,4,6,5] => 1
[3,7,5,1,2,4,6] => [1,2,4,6,3,7,5] => 1
[3,7,5,1,2,6,4] => [1,2,6,3,7,4,5] => 1
[3,7,5,1,4,2,6] => [1,4,2,6,3,7,5] => 1
[3,7,5,1,4,6,2] => [1,4,6,2,3,7,5] => 1
[3,7,5,2,1,4,6] => [1,4,6,2,3,7,5] => 1
[3,7,5,2,4,6,1] => [1,2,4,6,3,7,5] => 1
[3,7,5,2,6,1,4] => [1,4,2,6,3,7,5] => 1
[3,7,5,2,6,4,1] => [1,2,6,3,7,4,5] => 1
[3,7,5,4,1,2,6] => [1,2,6,3,7,4,5] => 1
[3,7,5,4,2,6,1] => [1,2,6,3,7,4,5] => 1
[3,7,5,4,6,1,2] => [1,2,3,7,4,6,5] => 1
[3,7,5,4,6,2,1] => [1,2,3,7,4,6,5] => 1
[3,7,5,6,1,2,4] => [1,2,4,3,7,5,6] => 1
[3,7,5,6,1,4,2] => [1,4,2,3,7,5,6] => 1
[3,7,5,6,2,1,4] => [1,4,2,3,7,5,6] => 1
[3,7,5,6,2,4,1] => [1,2,4,3,7,5,6] => 1
[3,7,5,6,4,1,2] => [1,2,3,7,4,5,6] => 1
[3,7,5,6,4,2,1] => [1,2,3,7,4,5,6] => 1
[3,7,6,1,2,4,5] => [1,2,4,5,3,7,6] => 1
[3,7,6,1,2,5,4] => [1,2,5,3,7,4,6] => 1
[3,7,6,1,4,2,5] => [1,4,2,5,3,7,6] => 1
[3,7,6,1,4,5,2] => [1,4,5,2,3,7,6] => 1
[3,7,6,2,1,4,5] => [1,4,5,2,3,7,6] => 1
[3,7,6,2,4,5,1] => [1,2,4,5,3,7,6] => 1
[3,7,6,2,5,1,4] => [1,4,2,5,3,7,6] => 1
[3,7,6,2,5,4,1] => [1,2,5,3,7,4,6] => 1
[3,7,6,4,1,2,5] => [1,2,5,3,7,4,6] => 1
[3,7,6,4,2,5,1] => [1,2,5,3,7,4,6] => 1
[3,7,6,4,5,1,2] => [1,2,3,7,4,5,6] => 1
[3,7,6,4,5,2,1] => [1,2,3,7,4,5,6] => 1
[3,7,6,5,1,2,4] => [1,2,4,3,7,5,6] => 1
[3,7,6,5,1,4,2] => [1,4,2,3,7,5,6] => 1
[3,7,6,5,2,1,4] => [1,4,2,3,7,5,6] => 1
[3,7,6,5,2,4,1] => [1,2,4,3,7,5,6] => 1
[3,7,6,5,4,1,2] => [1,2,3,7,4,5,6] => 1
[3,7,6,5,4,2,1] => [1,2,3,7,4,5,6] => 1
[4,1,2,3,5,6,7] => [1,2,3,5,6,7,4] => 1
[4,1,2,3,5,7,6] => [1,2,3,5,7,4,6] => 1
[4,1,2,3,6,5,7] => [1,2,3,6,4,5,7] => 1
[4,1,2,3,6,7,5] => [1,2,3,6,7,4,5] => 1
[4,1,2,3,7,5,6] => [1,2,3,7,4,5,6] => 1
[4,1,2,3,7,6,5] => [1,2,3,7,4,5,6] => 1
[4,1,2,5,3,6,7] => [1,2,5,3,6,7,4] => 1
[4,1,2,5,3,7,6] => [1,2,5,3,7,4,6] => 1
[4,1,2,5,6,3,7] => [1,2,5,6,3,7,4] => 1
[4,1,2,5,6,7,3] => [1,2,5,6,7,3,4] => 1
[4,1,2,5,7,3,6] => [1,2,5,7,3,6,4] => 1
[4,1,2,5,7,6,3] => [1,2,5,7,3,4,6] => 1
[4,1,2,6,3,5,7] => [1,2,6,3,5,7,4] => 1
[4,1,2,6,3,7,5] => [1,2,6,3,7,4,5] => 1
[4,1,2,6,5,3,7] => [1,2,6,3,7,4,5] => 1
[4,1,2,6,5,7,3] => [1,2,6,3,4,5,7] => 1
[4,1,2,6,7,3,5] => [1,2,6,7,3,5,4] => 1
[4,1,2,6,7,5,3] => [1,2,6,7,3,4,5] => 1
[4,1,2,7,3,5,6] => [1,2,7,3,5,6,4] => 1
[4,1,2,7,3,6,5] => [1,2,7,3,6,4,5] => 1
[4,1,2,7,5,3,6] => [1,2,7,3,6,4,5] => 1
[4,1,2,7,5,6,3] => [1,2,7,3,4,5,6] => 1
[4,1,2,7,6,3,5] => [1,2,7,3,5,4,6] => 1
[4,1,2,7,6,5,3] => [1,2,7,3,4,5,6] => 1
[4,1,3,2,5,6,7] => [1,3,2,5,6,7,4] => 1
[4,1,3,2,5,7,6] => [1,3,2,5,7,4,6] => 1
[4,1,3,2,6,5,7] => [1,3,2,6,4,5,7] => 1
[4,1,3,2,6,7,5] => [1,3,2,6,7,4,5] => 1
[4,1,3,2,7,5,6] => [1,3,2,7,4,5,6] => 1
[4,1,3,2,7,6,5] => [1,3,2,7,4,5,6] => 1
[4,1,3,5,2,6,7] => [1,3,5,2,6,7,4] => 1
[4,1,3,5,2,7,6] => [1,3,5,2,7,4,6] => 1
[4,1,3,5,6,2,7] => [1,3,5,6,2,7,4] => 1
[4,1,3,5,6,7,2] => [1,3,5,6,7,2,4] => 1
[4,1,3,5,7,2,6] => [1,3,5,7,2,6,4] => 1
[4,1,3,5,7,6,2] => [1,3,5,7,2,4,6] => 1
[4,1,3,6,2,5,7] => [1,3,6,2,5,7,4] => 1
[4,1,3,6,2,7,5] => [1,3,6,2,7,4,5] => 1
[4,1,3,6,5,2,7] => [1,3,6,2,7,4,5] => 1
[4,1,3,6,5,7,2] => [1,3,6,2,4,5,7] => 1
[4,1,3,6,7,2,5] => [1,3,6,7,2,5,4] => 1
[4,1,3,6,7,5,2] => [1,3,6,7,2,4,5] => 1
[4,1,3,7,2,5,6] => [1,3,7,2,5,6,4] => 1
[4,1,3,7,2,6,5] => [1,3,7,2,6,4,5] => 1
[4,1,3,7,5,2,6] => [1,3,7,2,6,4,5] => 1
[4,1,3,7,5,6,2] => [1,3,7,2,4,5,6] => 1
[4,1,3,7,6,2,5] => [1,3,7,2,5,4,6] => 1
[4,1,3,7,6,5,2] => [1,3,7,2,4,5,6] => 1
[4,2,1,3,5,6,7] => [1,3,5,6,7,2,4] => 1
[4,2,1,3,5,7,6] => [1,3,5,7,2,4,6] => 1
[4,2,1,3,6,5,7] => [1,3,6,2,4,5,7] => 1
[4,2,1,3,6,7,5] => [1,3,6,7,2,4,5] => 1
[4,2,1,3,7,5,6] => [1,3,7,2,4,5,6] => 1
[4,2,1,3,7,6,5] => [1,3,7,2,4,5,6] => 1
[4,2,3,5,6,7,1] => [1,2,3,5,6,7,4] => 1
[4,2,3,5,7,6,1] => [1,2,3,5,7,4,6] => 1
[4,2,3,6,5,7,1] => [1,2,3,6,4,5,7] => 1
[4,2,3,6,7,5,1] => [1,2,3,6,7,4,5] => 1
[4,2,3,7,5,6,1] => [1,2,3,7,4,5,6] => 1
[4,2,3,7,6,5,1] => [1,2,3,7,4,5,6] => 1
[4,2,5,1,3,6,7] => [1,3,6,7,2,5,4] => 1
[4,2,5,1,3,7,6] => [1,3,7,2,5,4,6] => 1
[4,2,5,3,6,7,1] => [1,2,5,3,6,7,4] => 1
[4,2,5,3,7,6,1] => [1,2,5,3,7,4,6] => 1
[4,2,5,6,1,3,7] => [1,3,7,2,5,6,4] => 1
[4,2,5,6,3,7,1] => [1,2,5,6,3,7,4] => 1
[4,2,5,6,7,1,3] => [1,3,2,5,6,7,4] => 1
[4,2,5,6,7,3,1] => [1,2,5,6,7,3,4] => 1
[4,2,5,7,1,3,6] => [1,3,6,2,5,7,4] => 1
[4,2,5,7,3,6,1] => [1,2,5,7,3,6,4] => 1
[4,2,5,7,6,1,3] => [1,3,2,5,7,4,6] => 1
[4,2,5,7,6,3,1] => [1,2,5,7,3,4,6] => 1
[4,2,6,1,3,5,7] => [1,3,5,7,2,6,4] => 1
[4,2,6,1,3,7,5] => [1,3,7,2,6,4,5] => 1
[4,2,6,3,5,7,1] => [1,2,6,3,5,7,4] => 1
[4,2,6,3,7,5,1] => [1,2,6,3,7,4,5] => 1
[4,2,6,5,1,3,7] => [1,3,7,2,6,4,5] => 1
[4,2,6,5,3,7,1] => [1,2,6,3,7,4,5] => 1
[4,2,6,5,7,1,3] => [1,3,2,6,4,5,7] => 1
[4,2,6,5,7,3,1] => [1,2,6,3,4,5,7] => 1
[4,2,6,7,1,3,5] => [1,3,5,2,6,7,4] => 1
[4,2,6,7,3,5,1] => [1,2,6,7,3,5,4] => 1
[4,2,6,7,5,1,3] => [1,3,2,6,7,4,5] => 1
[4,2,6,7,5,3,1] => [1,2,6,7,3,4,5] => 1
[4,2,7,1,3,5,6] => [1,3,5,6,2,7,4] => 1
[4,2,7,1,3,6,5] => [1,3,6,2,7,4,5] => 1
[4,2,7,3,5,6,1] => [1,2,7,3,5,6,4] => 1
[4,2,7,3,6,5,1] => [1,2,7,3,6,4,5] => 1
[4,2,7,5,1,3,6] => [1,3,6,2,7,4,5] => 1
[4,2,7,5,3,6,1] => [1,2,7,3,6,4,5] => 1
[4,2,7,5,6,1,3] => [1,3,2,7,4,5,6] => 1
[4,2,7,5,6,3,1] => [1,2,7,3,4,5,6] => 1
[4,2,7,6,1,3,5] => [1,3,5,2,7,4,6] => 1
[4,2,7,6,3,5,1] => [1,2,7,3,5,4,6] => 1
[4,2,7,6,5,1,3] => [1,3,2,7,4,5,6] => 1
[4,2,7,6,5,3,1] => [1,2,7,3,4,5,6] => 1
[4,3,1,2,5,6,7] => [1,2,5,6,7,3,4] => 1
[4,3,1,2,5,7,6] => [1,2,5,7,3,4,6] => 1
[4,3,1,2,6,5,7] => [1,2,6,3,4,5,7] => 1
[4,3,1,2,6,7,5] => [1,2,6,7,3,4,5] => 1
[4,3,1,2,7,5,6] => [1,2,7,3,4,5,6] => 1
[4,3,1,2,7,6,5] => [1,2,7,3,4,5,6] => 1
[4,3,2,5,6,7,1] => [1,2,5,6,7,3,4] => 1
[4,3,2,5,7,6,1] => [1,2,5,7,3,4,6] => 1
[4,3,2,6,5,7,1] => [1,2,6,3,4,5,7] => 1
[4,3,2,6,7,5,1] => [1,2,6,7,3,4,5] => 1
[4,3,2,7,5,6,1] => [1,2,7,3,4,5,6] => 1
[4,3,2,7,6,5,1] => [1,2,7,3,4,5,6] => 1
[4,3,5,1,2,6,7] => [1,2,6,7,3,5,4] => 1
[4,3,5,1,2,7,6] => [1,2,7,3,5,4,6] => 1
[4,3,5,2,6,7,1] => [1,2,6,7,3,5,4] => 1
[4,3,5,2,7,6,1] => [1,2,7,3,5,4,6] => 1
[4,3,5,6,1,2,7] => [1,2,7,3,5,6,4] => 1
[4,3,5,6,2,7,1] => [1,2,7,3,5,6,4] => 1
[4,3,5,6,7,1,2] => [1,2,3,5,6,7,4] => 1
[4,3,5,6,7,2,1] => [1,2,3,5,6,7,4] => 1
[4,3,5,7,1,2,6] => [1,2,6,3,5,7,4] => 1
[4,3,5,7,2,6,1] => [1,2,6,3,5,7,4] => 1
[4,3,5,7,6,1,2] => [1,2,3,5,7,4,6] => 1
[4,3,5,7,6,2,1] => [1,2,3,5,7,4,6] => 1
[4,3,6,1,2,5,7] => [1,2,5,7,3,6,4] => 1
[4,3,6,1,2,7,5] => [1,2,7,3,6,4,5] => 1
[4,3,6,2,5,7,1] => [1,2,5,7,3,6,4] => 1
[4,3,6,2,7,5,1] => [1,2,7,3,6,4,5] => 1
[4,3,6,5,1,2,7] => [1,2,7,3,6,4,5] => 1
[4,3,6,5,2,7,1] => [1,2,7,3,6,4,5] => 1
[4,3,6,5,7,1,2] => [1,2,3,6,4,5,7] => 1
[4,3,6,5,7,2,1] => [1,2,3,6,4,5,7] => 1
[4,3,6,7,1,2,5] => [1,2,5,3,6,7,4] => 1
[4,3,6,7,2,5,1] => [1,2,5,3,6,7,4] => 1
[4,3,6,7,5,1,2] => [1,2,3,6,7,4,5] => 1
[4,3,6,7,5,2,1] => [1,2,3,6,7,4,5] => 1
[4,3,7,1,2,5,6] => [1,2,5,6,3,7,4] => 1
[4,3,7,1,2,6,5] => [1,2,6,3,7,4,5] => 1
[4,3,7,2,5,6,1] => [1,2,5,6,3,7,4] => 1
[4,3,7,2,6,5,1] => [1,2,6,3,7,4,5] => 1
[4,3,7,5,1,2,6] => [1,2,6,3,7,4,5] => 1
[4,3,7,5,2,6,1] => [1,2,6,3,7,4,5] => 1
[4,3,7,5,6,1,2] => [1,2,3,7,4,5,6] => 1
[4,3,7,5,6,2,1] => [1,2,3,7,4,5,6] => 1
[4,3,7,6,1,2,5] => [1,2,5,3,7,4,6] => 1
[4,3,7,6,2,5,1] => [1,2,5,3,7,4,6] => 1
[4,3,7,6,5,1,2] => [1,2,3,7,4,5,6] => 1
[4,3,7,6,5,2,1] => [1,2,3,7,4,5,6] => 1
[4,5,1,2,3,6,7] => [1,2,3,6,7,4,5] => 1
[4,5,1,2,3,7,6] => [1,2,3,7,4,5,6] => 1
[4,5,1,2,6,3,7] => [1,2,6,3,7,4,5] => 1
[4,5,1,2,6,7,3] => [1,2,6,7,3,4,5] => 1
[4,5,1,2,7,3,6] => [1,2,7,3,6,4,5] => 1
[4,5,1,2,7,6,3] => [1,2,7,3,4,5,6] => 1
[4,5,1,3,2,6,7] => [1,3,2,6,7,4,5] => 1
[4,5,1,3,2,7,6] => [1,3,2,7,4,5,6] => 1
[4,5,1,3,6,2,7] => [1,3,6,2,7,4,5] => 1
[4,5,1,3,6,7,2] => [1,3,6,7,2,4,5] => 1
[4,5,1,3,7,2,6] => [1,3,7,2,6,4,5] => 1
[4,5,1,3,7,6,2] => [1,3,7,2,4,5,6] => 1
[4,5,2,1,3,6,7] => [1,3,6,7,2,4,5] => 1
[4,5,2,1,3,7,6] => [1,3,7,2,4,5,6] => 1
[4,5,2,3,6,7,1] => [1,2,3,6,7,4,5] => 1
[4,5,2,3,7,6,1] => [1,2,3,7,4,5,6] => 1
[4,5,2,6,1,3,7] => [1,3,7,2,6,4,5] => 1
[4,5,2,6,3,7,1] => [1,2,6,3,7,4,5] => 1
[4,5,2,6,7,1,3] => [1,3,2,6,7,4,5] => 1
[4,5,2,6,7,3,1] => [1,2,6,7,3,4,5] => 1
[4,5,2,7,1,3,6] => [1,3,6,2,7,4,5] => 1
[4,5,2,7,3,6,1] => [1,2,7,3,6,4,5] => 1
[4,5,2,7,6,1,3] => [1,3,2,7,4,5,6] => 1
[4,5,2,7,6,3,1] => [1,2,7,3,4,5,6] => 1
[4,5,3,1,2,6,7] => [1,2,6,7,3,4,5] => 1
[4,5,3,1,2,7,6] => [1,2,7,3,4,5,6] => 1
[4,5,3,2,6,7,1] => [1,2,6,7,3,4,5] => 1
[4,5,3,2,7,6,1] => [1,2,7,3,4,5,6] => 1
[4,5,3,6,1,2,7] => [1,2,7,3,6,4,5] => 1
[4,5,3,6,2,7,1] => [1,2,7,3,6,4,5] => 1
[4,5,3,6,7,1,2] => [1,2,3,6,7,4,5] => 1
[4,5,3,6,7,2,1] => [1,2,3,6,7,4,5] => 1
[4,5,3,7,1,2,6] => [1,2,6,3,7,4,5] => 1
[4,5,3,7,2,6,1] => [1,2,6,3,7,4,5] => 1
[4,5,3,7,6,1,2] => [1,2,3,7,4,5,6] => 1
[4,5,3,7,6,2,1] => [1,2,3,7,4,5,6] => 1
[4,5,6,1,2,3,7] => [1,2,3,7,4,5,6] => 1
[4,5,6,1,2,7,3] => [1,2,7,3,4,5,6] => 1
[4,5,6,1,3,2,7] => [1,3,2,7,4,5,6] => 1
[4,5,6,1,3,7,2] => [1,3,7,2,4,5,6] => 1
[4,5,6,2,1,3,7] => [1,3,7,2,4,5,6] => 1
[4,5,6,2,3,7,1] => [1,2,3,7,4,5,6] => 1
[4,5,6,2,7,1,3] => [1,3,2,7,4,5,6] => 1
[4,5,6,2,7,3,1] => [1,2,7,3,4,5,6] => 1
[4,5,6,3,1,2,7] => [1,2,7,3,4,5,6] => 1
[4,5,6,3,2,7,1] => [1,2,7,3,4,5,6] => 1
[4,5,6,3,7,1,2] => [1,2,3,7,4,5,6] => 1
[4,5,6,3,7,2,1] => [1,2,3,7,4,5,6] => 1
[4,5,6,7,1,2,3] => [1,2,3,4,5,6,7] => 1
[4,5,6,7,1,3,2] => [1,3,2,4,5,6,7] => 1
[4,5,6,7,2,1,3] => [1,3,2,4,5,6,7] => 1
[4,5,6,7,2,3,1] => [1,2,3,4,5,6,7] => 1
[4,5,6,7,3,1,2] => [1,2,3,4,5,6,7] => 1
[4,5,6,7,3,2,1] => [1,2,3,4,5,6,7] => 1
[4,5,7,1,2,3,6] => [1,2,3,6,4,5,7] => 1
[4,5,7,1,2,6,3] => [1,2,6,3,4,5,7] => 1
[4,5,7,1,3,2,6] => [1,3,2,6,4,5,7] => 1
[4,5,7,1,3,6,2] => [1,3,6,2,4,5,7] => 1
[4,5,7,2,1,3,6] => [1,3,6,2,4,5,7] => 1
[4,5,7,2,3,6,1] => [1,2,3,6,4,5,7] => 1
[4,5,7,2,6,1,3] => [1,3,2,6,4,5,7] => 1
[4,5,7,2,6,3,1] => [1,2,6,3,4,5,7] => 1
[4,5,7,3,1,2,6] => [1,2,6,3,4,5,7] => 1
[4,5,7,3,2,6,1] => [1,2,6,3,4,5,7] => 1
[4,5,7,3,6,1,2] => [1,2,3,6,4,5,7] => 1
[4,5,7,3,6,2,1] => [1,2,3,6,4,5,7] => 1
[4,5,7,6,1,2,3] => [1,2,3,4,5,7,6] => 1
[4,5,7,6,1,3,2] => [1,3,2,4,5,7,6] => 1
[4,5,7,6,2,1,3] => [1,3,2,4,5,7,6] => 1
[4,5,7,6,2,3,1] => [1,2,3,4,5,7,6] => 1
[4,5,7,6,3,1,2] => [1,2,3,4,5,7,6] => 1
[4,5,7,6,3,2,1] => [1,2,3,4,5,7,6] => 1
[4,6,1,2,3,5,7] => [1,2,3,5,7,4,6] => 1
[4,6,1,2,3,7,5] => [1,2,3,7,4,6,5] => 1
[4,6,1,2,5,3,7] => [1,2,5,3,7,4,6] => 1
[4,6,1,2,5,7,3] => [1,2,5,7,3,4,6] => 1
[4,6,1,2,7,3,5] => [1,2,7,3,5,4,6] => 1
[4,6,1,2,7,5,3] => [1,2,7,3,4,6,5] => 1
[4,6,1,3,2,5,7] => [1,3,2,5,7,4,6] => 1
[4,6,1,3,2,7,5] => [1,3,2,7,4,6,5] => 1
[4,6,1,3,5,2,7] => [1,3,5,2,7,4,6] => 1
[4,6,1,3,5,7,2] => [1,3,5,7,2,4,6] => 1
[4,6,1,3,7,2,5] => [1,3,7,2,5,4,6] => 1
[4,6,1,3,7,5,2] => [1,3,7,2,4,6,5] => 1
[4,6,2,1,3,5,7] => [1,3,5,7,2,4,6] => 1
[4,6,2,1,3,7,5] => [1,3,7,2,4,6,5] => 1
[4,6,2,3,5,7,1] => [1,2,3,5,7,4,6] => 1
[4,6,2,3,7,5,1] => [1,2,3,7,4,6,5] => 1
[4,6,2,5,1,3,7] => [1,3,7,2,5,4,6] => 1
[4,6,2,5,3,7,1] => [1,2,5,3,7,4,6] => 1
[4,6,2,5,7,1,3] => [1,3,2,5,7,4,6] => 1
[4,6,2,5,7,3,1] => [1,2,5,7,3,4,6] => 1
[4,6,2,7,1,3,5] => [1,3,5,2,7,4,6] => 1
[4,6,2,7,3,5,1] => [1,2,7,3,5,4,6] => 1
[4,6,2,7,5,1,3] => [1,3,2,7,4,6,5] => 1
[4,6,2,7,5,3,1] => [1,2,7,3,4,6,5] => 1
[4,6,3,1,2,5,7] => [1,2,5,7,3,4,6] => 1
[4,6,3,1,2,7,5] => [1,2,7,3,4,6,5] => 1
[4,6,3,2,5,7,1] => [1,2,5,7,3,4,6] => 1
[4,6,3,2,7,5,1] => [1,2,7,3,4,6,5] => 1
[4,6,3,5,1,2,7] => [1,2,7,3,5,4,6] => 1
[4,6,3,5,2,7,1] => [1,2,7,3,5,4,6] => 1
[4,6,3,5,7,1,2] => [1,2,3,5,7,4,6] => 1
[4,6,3,5,7,2,1] => [1,2,3,5,7,4,6] => 1
[4,6,3,7,1,2,5] => [1,2,5,3,7,4,6] => 1
[4,6,3,7,2,5,1] => [1,2,5,3,7,4,6] => 1
[4,6,3,7,5,1,2] => [1,2,3,7,4,6,5] => 1
[4,6,3,7,5,2,1] => [1,2,3,7,4,6,5] => 1
[4,6,5,1,2,3,7] => [1,2,3,7,4,6,5] => 1
[4,6,5,1,2,7,3] => [1,2,7,3,4,6,5] => 1
[4,6,5,1,3,2,7] => [1,3,2,7,4,6,5] => 1
[4,6,5,1,3,7,2] => [1,3,7,2,4,6,5] => 1
[4,6,5,2,1,3,7] => [1,3,7,2,4,6,5] => 1
[4,6,5,2,3,7,1] => [1,2,3,7,4,6,5] => 1
[4,6,5,2,7,1,3] => [1,3,2,7,4,6,5] => 1
[4,6,5,2,7,3,1] => [1,2,7,3,4,6,5] => 1
[4,6,5,3,1,2,7] => [1,2,7,3,4,6,5] => 1
[4,6,5,3,2,7,1] => [1,2,7,3,4,6,5] => 1
[4,6,5,3,7,1,2] => [1,2,3,7,4,6,5] => 1
[4,6,5,3,7,2,1] => [1,2,3,7,4,6,5] => 1
[4,6,5,7,1,2,3] => [1,2,3,4,6,5,7] => 1
[4,6,5,7,1,3,2] => [1,3,2,4,6,5,7] => 1
[4,6,5,7,2,1,3] => [1,3,2,4,6,5,7] => 1
[4,6,5,7,2,3,1] => [1,2,3,4,6,5,7] => 1
[4,6,5,7,3,1,2] => [1,2,3,4,6,5,7] => 1
[4,6,5,7,3,2,1] => [1,2,3,4,6,5,7] => 1
[4,6,7,1,2,3,5] => [1,2,3,5,4,6,7] => 1
[4,6,7,1,2,5,3] => [1,2,5,3,4,6,7] => 1
[4,6,7,1,3,2,5] => [1,3,2,5,4,6,7] => 1
[4,6,7,1,3,5,2] => [1,3,5,2,4,6,7] => 1
[4,6,7,2,1,3,5] => [1,3,5,2,4,6,7] => 1
[4,6,7,2,3,5,1] => [1,2,3,5,4,6,7] => 1
[4,6,7,2,5,1,3] => [1,3,2,5,4,6,7] => 1
[4,6,7,2,5,3,1] => [1,2,5,3,4,6,7] => 1
[4,6,7,3,1,2,5] => [1,2,5,3,4,6,7] => 1
[4,6,7,3,2,5,1] => [1,2,5,3,4,6,7] => 1
[4,6,7,3,5,1,2] => [1,2,3,5,4,6,7] => 1
[4,6,7,3,5,2,1] => [1,2,3,5,4,6,7] => 1
[4,6,7,5,1,2,3] => [1,2,3,4,6,7,5] => 1
[4,6,7,5,1,3,2] => [1,3,2,4,6,7,5] => 1
[4,6,7,5,2,1,3] => [1,3,2,4,6,7,5] => 1
[4,6,7,5,2,3,1] => [1,2,3,4,6,7,5] => 1
[4,6,7,5,3,1,2] => [1,2,3,4,6,7,5] => 1
[4,6,7,5,3,2,1] => [1,2,3,4,6,7,5] => 1
[4,7,1,2,3,5,6] => [1,2,3,5,6,4,7] => 1
[4,7,1,2,3,6,5] => [1,2,3,6,4,7,5] => 1
[4,7,1,2,5,3,6] => [1,2,5,3,6,4,7] => 1
[4,7,1,2,5,6,3] => [1,2,5,6,3,4,7] => 1
[4,7,1,2,6,3,5] => [1,2,6,3,5,4,7] => 1
[4,7,1,2,6,5,3] => [1,2,6,3,4,7,5] => 1
[4,7,1,3,2,5,6] => [1,3,2,5,6,4,7] => 1
[4,7,1,3,2,6,5] => [1,3,2,6,4,7,5] => 1
[4,7,1,3,5,2,6] => [1,3,5,2,6,4,7] => 1
[4,7,1,3,5,6,2] => [1,3,5,6,2,4,7] => 1
[4,7,1,3,6,2,5] => [1,3,6,2,5,4,7] => 1
[4,7,1,3,6,5,2] => [1,3,6,2,4,7,5] => 1
[4,7,2,1,3,5,6] => [1,3,5,6,2,4,7] => 1
[4,7,2,1,3,6,5] => [1,3,6,2,4,7,5] => 1
[4,7,2,3,5,6,1] => [1,2,3,5,6,4,7] => 1
[4,7,2,3,6,5,1] => [1,2,3,6,4,7,5] => 1
[4,7,2,5,1,3,6] => [1,3,6,2,5,4,7] => 1
[4,7,2,5,3,6,1] => [1,2,5,3,6,4,7] => 1
[4,7,2,5,6,1,3] => [1,3,2,5,6,4,7] => 1
[4,7,2,5,6,3,1] => [1,2,5,6,3,4,7] => 1
[4,7,2,6,1,3,5] => [1,3,5,2,6,4,7] => 1
[4,7,2,6,3,5,1] => [1,2,6,3,5,4,7] => 1
[4,7,2,6,5,1,3] => [1,3,2,6,4,7,5] => 1
[4,7,2,6,5,3,1] => [1,2,6,3,4,7,5] => 1
[4,7,3,1,2,5,6] => [1,2,5,6,3,4,7] => 1
[4,7,3,1,2,6,5] => [1,2,6,3,4,7,5] => 1
[4,7,3,2,5,6,1] => [1,2,5,6,3,4,7] => 1
[4,7,3,2,6,5,1] => [1,2,6,3,4,7,5] => 1
[4,7,3,5,1,2,6] => [1,2,6,3,5,4,7] => 1
[4,7,3,5,2,6,1] => [1,2,6,3,5,4,7] => 1
[4,7,3,5,6,1,2] => [1,2,3,5,6,4,7] => 1
[4,7,3,5,6,2,1] => [1,2,3,5,6,4,7] => 1
[4,7,3,6,1,2,5] => [1,2,5,3,6,4,7] => 1
[4,7,3,6,2,5,1] => [1,2,5,3,6,4,7] => 1
[4,7,3,6,5,1,2] => [1,2,3,6,4,7,5] => 1
[4,7,3,6,5,2,1] => [1,2,3,6,4,7,5] => 1
[4,7,5,1,2,3,6] => [1,2,3,6,4,7,5] => 1
[4,7,5,1,2,6,3] => [1,2,6,3,4,7,5] => 1
[4,7,5,1,3,2,6] => [1,3,2,6,4,7,5] => 1
[4,7,5,1,3,6,2] => [1,3,6,2,4,7,5] => 1
[4,7,5,2,1,3,6] => [1,3,6,2,4,7,5] => 1
[4,7,5,2,3,6,1] => [1,2,3,6,4,7,5] => 1
[4,7,5,2,6,1,3] => [1,3,2,6,4,7,5] => 1
[4,7,5,2,6,3,1] => [1,2,6,3,4,7,5] => 1
[4,7,5,3,1,2,6] => [1,2,6,3,4,7,5] => 1
[4,7,5,3,2,6,1] => [1,2,6,3,4,7,5] => 1
[4,7,5,3,6,1,2] => [1,2,3,6,4,7,5] => 1
[4,7,5,3,6,2,1] => [1,2,3,6,4,7,5] => 1
[4,7,5,6,1,2,3] => [1,2,3,4,7,5,6] => 1
[4,7,5,6,1,3,2] => [1,3,2,4,7,5,6] => 1
[4,7,5,6,2,1,3] => [1,3,2,4,7,5,6] => 1
[4,7,5,6,2,3,1] => [1,2,3,4,7,5,6] => 1
[4,7,5,6,3,1,2] => [1,2,3,4,7,5,6] => 1
[4,7,5,6,3,2,1] => [1,2,3,4,7,5,6] => 1
[4,7,6,1,2,3,5] => [1,2,3,5,4,7,6] => 1
[4,7,6,1,2,5,3] => [1,2,5,3,4,7,6] => 1
[4,7,6,1,3,2,5] => [1,3,2,5,4,7,6] => 1
[4,7,6,1,3,5,2] => [1,3,5,2,4,7,6] => 1
[4,7,6,2,1,3,5] => [1,3,5,2,4,7,6] => 1
[4,7,6,2,3,5,1] => [1,2,3,5,4,7,6] => 1
[4,7,6,2,5,1,3] => [1,3,2,5,4,7,6] => 1
[4,7,6,2,5,3,1] => [1,2,5,3,4,7,6] => 1
[4,7,6,3,1,2,5] => [1,2,5,3,4,7,6] => 1
[4,7,6,3,2,5,1] => [1,2,5,3,4,7,6] => 1
[4,7,6,3,5,1,2] => [1,2,3,5,4,7,6] => 1
[4,7,6,3,5,2,1] => [1,2,3,5,4,7,6] => 1
[4,7,6,5,1,2,3] => [1,2,3,4,7,5,6] => 1
[4,7,6,5,1,3,2] => [1,3,2,4,7,5,6] => 1
[4,7,6,5,2,1,3] => [1,3,2,4,7,5,6] => 1
[4,7,6,5,2,3,1] => [1,2,3,4,7,5,6] => 1
[4,7,6,5,3,1,2] => [1,2,3,4,7,5,6] => 1
[4,7,6,5,3,2,1] => [1,2,3,4,7,5,6] => 1
[5,1,2,3,4,6,7] => [1,2,3,4,6,7,5] => 1
[5,1,2,3,4,7,6] => [1,2,3,4,7,5,6] => 1
[5,1,2,3,6,4,7] => [1,2,3,6,4,7,5] => 1
[5,1,2,3,6,7,4] => [1,2,3,6,7,4,5] => 1
[5,1,2,3,7,4,6] => [1,2,3,7,4,6,5] => 1
[5,1,2,3,7,6,4] => [1,2,3,7,4,5,6] => 1
[5,1,2,4,3,6,7] => [1,2,4,3,6,7,5] => 1
[5,1,2,4,3,7,6] => [1,2,4,3,7,5,6] => 1
[5,1,2,4,6,3,7] => [1,2,4,6,3,7,5] => 1
[5,1,2,4,6,7,3] => [1,2,4,6,7,3,5] => 1
[5,1,2,4,7,3,6] => [1,2,4,7,3,6,5] => 1
[5,1,2,4,7,6,3] => [1,2,4,7,3,5,6] => 1
[5,1,2,6,3,4,7] => [1,2,6,3,4,7,5] => 1
[5,1,2,6,3,7,4] => [1,2,6,3,7,4,5] => 1
[5,1,2,6,4,3,7] => [1,2,6,3,7,4,5] => 1
[5,1,2,6,4,7,3] => [1,2,6,3,4,7,5] => 1
[5,1,2,6,7,3,4] => [1,2,6,7,3,4,5] => 1
[5,1,2,6,7,4,3] => [1,2,6,7,3,4,5] => 1
[5,1,2,7,3,4,6] => [1,2,7,3,4,6,5] => 1
[5,1,2,7,3,6,4] => [1,2,7,3,6,4,5] => 1
[5,1,2,7,4,3,6] => [1,2,7,3,6,4,5] => 1
[5,1,2,7,4,6,3] => [1,2,7,3,4,6,5] => 1
[5,1,2,7,6,3,4] => [1,2,7,3,4,5,6] => 1
[5,1,2,7,6,4,3] => [1,2,7,3,4,5,6] => 1
[5,1,3,2,4,6,7] => [1,3,2,4,6,7,5] => 1
[5,1,3,2,4,7,6] => [1,3,2,4,7,5,6] => 1
[5,1,3,2,6,4,7] => [1,3,2,6,4,7,5] => 1
[5,1,3,2,6,7,4] => [1,3,2,6,7,4,5] => 1
[5,1,3,2,7,4,6] => [1,3,2,7,4,6,5] => 1
[5,1,3,2,7,6,4] => [1,3,2,7,4,5,6] => 1
[5,1,3,4,2,6,7] => [1,3,4,2,6,7,5] => 1
[5,1,3,4,2,7,6] => [1,3,4,2,7,5,6] => 1
[5,1,3,4,6,2,7] => [1,3,4,6,2,7,5] => 1
[5,1,3,4,6,7,2] => [1,3,4,6,7,2,5] => 1
[5,1,3,4,7,2,6] => [1,3,4,7,2,6,5] => 1
[5,1,3,4,7,6,2] => [1,3,4,7,2,5,6] => 1
[5,1,3,6,2,4,7] => [1,3,6,2,4,7,5] => 1
[5,1,3,6,2,7,4] => [1,3,6,2,7,4,5] => 1
[5,1,3,6,4,2,7] => [1,3,6,2,7,4,5] => 1
[5,1,3,6,4,7,2] => [1,3,6,2,4,7,5] => 1
[5,1,3,6,7,2,4] => [1,3,6,7,2,4,5] => 1
[5,1,3,6,7,4,2] => [1,3,6,7,2,4,5] => 1
[5,1,3,7,2,4,6] => [1,3,7,2,4,6,5] => 1
[5,1,3,7,2,6,4] => [1,3,7,2,6,4,5] => 1
[5,1,3,7,4,2,6] => [1,3,7,2,6,4,5] => 1
[5,1,3,7,4,6,2] => [1,3,7,2,4,6,5] => 1
[5,1,3,7,6,2,4] => [1,3,7,2,4,5,6] => 1
[5,1,3,7,6,4,2] => [1,3,7,2,4,5,6] => 1
[5,1,4,2,3,6,7] => [1,4,2,3,6,7,5] => 1
[5,1,4,2,3,7,6] => [1,4,2,3,7,5,6] => 1
[5,1,4,2,6,3,7] => [1,4,2,6,3,7,5] => 1
[5,1,4,2,6,7,3] => [1,4,2,6,7,3,5] => 1
[5,1,4,2,7,3,6] => [1,4,2,7,3,6,5] => 1
[5,1,4,2,7,6,3] => [1,4,2,7,3,5,6] => 1
[5,1,4,3,2,6,7] => [1,4,2,6,7,3,5] => 1
[5,1,4,3,2,7,6] => [1,4,2,7,3,5,6] => 1
[5,1,4,3,6,2,7] => [1,4,2,7,3,6,5] => 1
[5,1,4,3,6,7,2] => [1,4,2,3,6,7,5] => 1
[5,1,4,3,7,2,6] => [1,4,2,6,3,7,5] => 1
[5,1,4,3,7,6,2] => [1,4,2,3,7,5,6] => 1
[5,1,4,6,2,3,7] => [1,4,6,2,3,7,5] => 1
[5,1,4,6,2,7,3] => [1,4,6,2,7,3,5] => 1
[5,1,4,6,3,2,7] => [1,4,6,2,7,3,5] => 1
[5,1,4,6,3,7,2] => [1,4,6,2,3,7,5] => 1
[5,2,1,3,4,6,7] => [1,3,4,6,7,2,5] => 1
[5,2,1,3,4,7,6] => [1,3,4,7,2,5,6] => 1
[5,2,1,3,6,4,7] => [1,3,6,2,4,7,5] => 1
[5,2,1,3,6,7,4] => [1,3,6,7,2,4,5] => 1
[5,2,1,3,7,4,6] => [1,3,7,2,4,6,5] => 1
[5,2,1,3,7,6,4] => [1,3,7,2,4,5,6] => 1
[5,2,1,4,3,6,7] => [1,4,2,3,6,7,5] => 1
[5,2,1,4,3,7,6] => [1,4,2,3,7,5,6] => 1
[5,2,1,4,6,3,7] => [1,4,6,2,3,7,5] => 1
[5,2,3,4,6,7,1] => [1,2,3,4,6,7,5] => 1
[5,2,3,4,7,6,1] => [1,2,3,4,7,5,6] => 1
[5,2,3,6,4,7,1] => [1,2,3,6,4,7,5] => 1
[5,2,3,6,7,1,4] => [1,4,2,3,6,7,5] => 1
[5,2,3,6,7,4,1] => [1,2,3,6,7,4,5] => 1
[5,2,3,7,1,4,6] => [1,4,6,2,3,7,5] => 1
[5,2,3,7,4,6,1] => [1,2,3,7,4,6,5] => 1
[5,2,3,7,6,1,4] => [1,4,2,3,7,5,6] => 1
[5,2,3,7,6,4,1] => [1,2,3,7,4,5,6] => 1
[5,2,4,1,3,6,7] => [1,3,6,7,2,4,5] => 1
[5,2,4,1,3,7,6] => [1,3,7,2,4,5,6] => 1
[5,2,4,3,6,7,1] => [1,2,4,3,6,7,5] => 1
[5,2,4,3,7,6,1] => [1,2,4,3,7,5,6] => 1
[5,2,4,6,1,3,7] => [1,3,7,2,4,6,5] => 1
[5,2,4,6,3,7,1] => [1,2,4,6,3,7,5] => 1
[5,2,4,6,7,1,3] => [1,3,2,4,6,7,5] => 1
[5,2,4,6,7,3,1] => [1,2,4,6,7,3,5] => 1
[5,2,4,7,1,3,6] => [1,3,6,2,4,7,5] => 1
[5,2,4,7,3,6,1] => [1,2,4,7,3,6,5] => 1
[5,2,4,7,6,1,3] => [1,3,2,4,7,5,6] => 1
[5,2,4,7,6,3,1] => [1,2,4,7,3,5,6] => 1
[5,2,6,1,3,4,7] => [1,3,4,7,2,6,5] => 1
[5,2,6,1,3,7,4] => [1,3,7,2,6,4,5] => 1
[5,2,6,1,4,3,7] => [1,4,2,6,3,7,5] => 1
[5,2,6,3,4,7,1] => [1,2,6,3,4,7,5] => 1
[5,2,6,3,7,1,4] => [1,4,2,6,3,7,5] => 1
[5,2,6,3,7,4,1] => [1,2,6,3,7,4,5] => 1
[5,2,6,4,1,3,7] => [1,3,7,2,6,4,5] => 1
[5,2,6,4,3,7,1] => [1,2,6,3,7,4,5] => 1
[5,2,6,4,7,1,3] => [1,3,2,6,4,7,5] => 1
[5,2,6,4,7,3,1] => [1,2,6,3,4,7,5] => 1
[5,2,6,7,1,3,4] => [1,3,4,2,6,7,5] => 1
[5,2,6,7,1,4,3] => [1,4,2,6,7,3,5] => 1
[5,2,6,7,3,1,4] => [1,4,2,6,7,3,5] => 1
[5,2,6,7,3,4,1] => [1,2,6,7,3,4,5] => 1
[5,2,6,7,4,1,3] => [1,3,2,6,7,4,5] => 1
[5,2,6,7,4,3,1] => [1,2,6,7,3,4,5] => 1
[5,2,7,1,3,4,6] => [1,3,4,6,2,7,5] => 1
[5,2,7,1,3,6,4] => [1,3,6,2,7,4,5] => 1
[5,2,7,1,4,3,6] => [1,4,2,7,3,6,5] => 1
[5,2,7,1,4,6,3] => [1,4,6,2,7,3,5] => 1
[5,2,7,3,1,4,6] => [1,4,6,2,7,3,5] => 1
[5,2,7,3,4,6,1] => [1,2,7,3,4,6,5] => 1
[5,2,7,3,6,1,4] => [1,4,2,7,3,6,5] => 1
[5,2,7,3,6,4,1] => [1,2,7,3,6,4,5] => 1
[5,2,7,4,1,3,6] => [1,3,6,2,7,4,5] => 1
[5,2,7,4,3,6,1] => [1,2,7,3,6,4,5] => 1
[5,2,7,4,6,1,3] => [1,3,2,7,4,6,5] => 1
[5,2,7,4,6,3,1] => [1,2,7,3,4,6,5] => 1
[5,2,7,6,1,3,4] => [1,3,4,2,7,5,6] => 1
[5,2,7,6,1,4,3] => [1,4,2,7,3,5,6] => 1
[5,2,7,6,3,1,4] => [1,4,2,7,3,5,6] => 1
[5,2,7,6,3,4,1] => [1,2,7,3,4,5,6] => 1
[5,2,7,6,4,1,3] => [1,3,2,7,4,5,6] => 1
[5,2,7,6,4,3,1] => [1,2,7,3,4,5,6] => 1
[5,3,1,2,4,6,7] => [1,2,4,6,7,3,5] => 1
[5,3,1,2,4,7,6] => [1,2,4,7,3,5,6] => 1
[5,3,1,2,6,4,7] => [1,2,6,3,4,7,5] => 1
[5,3,1,2,6,7,4] => [1,2,6,7,3,4,5] => 1
[5,3,1,2,7,4,6] => [1,2,7,3,4,6,5] => 1
[5,3,1,2,7,6,4] => [1,2,7,3,4,5,6] => 1
[5,3,1,4,2,6,7] => [1,4,2,6,7,3,5] => 1
[5,3,1,4,2,7,6] => [1,4,2,7,3,5,6] => 1
[5,3,1,4,6,2,7] => [1,4,6,2,7,3,5] => 1
[5,3,2,4,6,7,1] => [1,2,4,6,7,3,5] => 1
[5,3,2,4,7,6,1] => [1,2,4,7,3,5,6] => 1
[5,3,2,6,4,7,1] => [1,2,6,3,4,7,5] => 1
[5,3,2,6,7,1,4] => [1,4,2,6,7,3,5] => 1
[5,3,2,6,7,4,1] => [1,2,6,7,3,4,5] => 1
[5,3,2,7,1,4,6] => [1,4,6,2,7,3,5] => 1
[5,3,2,7,4,6,1] => [1,2,7,3,4,6,5] => 1
[5,3,2,7,6,1,4] => [1,4,2,7,3,5,6] => 1
[5,3,2,7,6,4,1] => [1,2,7,3,4,5,6] => 1
[5,3,4,1,2,6,7] => [1,2,6,7,3,4,5] => 1
[5,3,4,1,2,7,6] => [1,2,7,3,4,5,6] => 1
[5,3,4,2,6,7,1] => [1,2,6,7,3,4,5] => 1
[5,3,4,2,7,6,1] => [1,2,7,3,4,5,6] => 1
[5,3,4,6,1,2,7] => [1,2,7,3,4,6,5] => 1
[5,3,4,6,2,7,1] => [1,2,7,3,4,6,5] => 1
[5,3,4,6,7,1,2] => [1,2,3,4,6,7,5] => 1
[5,3,4,6,7,2,1] => [1,2,3,4,6,7,5] => 1
[5,3,4,7,1,2,6] => [1,2,6,3,4,7,5] => 1
[5,3,4,7,2,6,1] => [1,2,6,3,4,7,5] => 1
[5,3,4,7,6,1,2] => [1,2,3,4,7,5,6] => 1
[5,3,4,7,6,2,1] => [1,2,3,4,7,5,6] => 1
[5,3,6,1,2,4,7] => [1,2,4,7,3,6,5] => 1
[5,3,6,1,2,7,4] => [1,2,7,3,6,4,5] => 1
[5,3,6,1,4,2,7] => [1,4,2,7,3,6,5] => 1
[5,3,6,2,4,7,1] => [1,2,4,7,3,6,5] => 1
[5,3,6,2,7,1,4] => [1,4,2,7,3,6,5] => 1
[5,3,6,2,7,4,1] => [1,2,7,3,6,4,5] => 1
[5,3,6,4,1,2,7] => [1,2,7,3,6,4,5] => 1
[5,3,6,4,2,7,1] => [1,2,7,3,6,4,5] => 1
[5,3,6,4,7,1,2] => [1,2,3,6,4,7,5] => 1
[5,3,6,4,7,2,1] => [1,2,3,6,4,7,5] => 1
[5,3,6,7,1,2,4] => [1,2,4,3,6,7,5] => 1
[5,3,6,7,1,4,2] => [1,4,2,3,6,7,5] => 1
[5,3,6,7,2,1,4] => [1,4,2,3,6,7,5] => 1
[5,3,6,7,2,4,1] => [1,2,4,3,6,7,5] => 1
[5,3,6,7,4,1,2] => [1,2,3,6,7,4,5] => 1
[5,3,6,7,4,2,1] => [1,2,3,6,7,4,5] => 1
[5,3,7,1,2,4,6] => [1,2,4,6,3,7,5] => 1
[5,3,7,1,2,6,4] => [1,2,6,3,7,4,5] => 1
[5,3,7,1,4,2,6] => [1,4,2,6,3,7,5] => 1
[5,3,7,1,4,6,2] => [1,4,6,2,3,7,5] => 1
[5,3,7,2,1,4,6] => [1,4,6,2,3,7,5] => 1
[5,3,7,2,4,6,1] => [1,2,4,6,3,7,5] => 1
[5,3,7,2,6,1,4] => [1,4,2,6,3,7,5] => 1
[5,3,7,2,6,4,1] => [1,2,6,3,7,4,5] => 1
[5,3,7,4,1,2,6] => [1,2,6,3,7,4,5] => 1
[5,3,7,4,2,6,1] => [1,2,6,3,7,4,5] => 1
[5,3,7,4,6,1,2] => [1,2,3,7,4,6,5] => 1
[5,3,7,4,6,2,1] => [1,2,3,7,4,6,5] => 1
[5,3,7,6,1,2,4] => [1,2,4,3,7,5,6] => 1
[5,3,7,6,1,4,2] => [1,4,2,3,7,5,6] => 1
[5,3,7,6,2,1,4] => [1,4,2,3,7,5,6] => 1
[5,3,7,6,2,4,1] => [1,2,4,3,7,5,6] => 1
[5,3,7,6,4,1,2] => [1,2,3,7,4,5,6] => 1
[5,3,7,6,4,2,1] => [1,2,3,7,4,5,6] => 1
[5,4,1,2,3,6,7] => [1,2,3,6,7,4,5] => 1
[5,4,1,2,3,7,6] => [1,2,3,7,4,5,6] => 1
[5,4,1,2,6,3,7] => [1,2,6,3,7,4,5] => 1
[5,4,1,2,6,7,3] => [1,2,6,7,3,4,5] => 1
[5,4,1,2,7,3,6] => [1,2,7,3,6,4,5] => 1
[5,4,1,2,7,6,3] => [1,2,7,3,4,5,6] => 1
[5,4,1,3,2,6,7] => [1,3,2,6,7,4,5] => 1
[5,4,1,3,2,7,6] => [1,3,2,7,4,5,6] => 1
[5,4,1,3,6,2,7] => [1,3,6,2,7,4,5] => 1
[5,4,1,3,6,7,2] => [1,3,6,7,2,4,5] => 1
[5,4,1,3,7,2,6] => [1,3,7,2,6,4,5] => 1
[5,4,1,3,7,6,2] => [1,3,7,2,4,5,6] => 1
[5,4,2,1,3,6,7] => [1,3,6,7,2,4,5] => 1
[5,4,2,1,3,7,6] => [1,3,7,2,4,5,6] => 1
[5,4,2,3,6,7,1] => [1,2,3,6,7,4,5] => 1
[5,4,2,3,7,6,1] => [1,2,3,7,4,5,6] => 1
[5,4,2,6,1,3,7] => [1,3,7,2,6,4,5] => 1
[5,4,2,6,3,7,1] => [1,2,6,3,7,4,5] => 1
[5,4,2,6,7,1,3] => [1,3,2,6,7,4,5] => 1
[5,4,2,6,7,3,1] => [1,2,6,7,3,4,5] => 1
[5,4,2,7,1,3,6] => [1,3,6,2,7,4,5] => 1
[5,4,2,7,3,6,1] => [1,2,7,3,6,4,5] => 1
[5,4,2,7,6,1,3] => [1,3,2,7,4,5,6] => 1
[5,4,2,7,6,3,1] => [1,2,7,3,4,5,6] => 1
[5,4,3,1,2,6,7] => [1,2,6,7,3,4,5] => 1
[5,4,3,1,2,7,6] => [1,2,7,3,4,5,6] => 1
[5,4,3,2,6,7,1] => [1,2,6,7,3,4,5] => 1
[5,4,3,2,7,6,1] => [1,2,7,3,4,5,6] => 1
[5,4,3,6,1,2,7] => [1,2,7,3,6,4,5] => 1
[5,4,3,6,2,7,1] => [1,2,7,3,6,4,5] => 1
[5,4,3,6,7,1,2] => [1,2,3,6,7,4,5] => 1
[5,4,3,6,7,2,1] => [1,2,3,6,7,4,5] => 1
[5,4,3,7,1,2,6] => [1,2,6,3,7,4,5] => 1
[5,4,3,7,2,6,1] => [1,2,6,3,7,4,5] => 1
[5,4,3,7,6,1,2] => [1,2,3,7,4,5,6] => 1
[5,4,3,7,6,2,1] => [1,2,3,7,4,5,6] => 1
[5,4,6,1,2,3,7] => [1,2,3,7,4,6,5] => 1
[5,4,6,1,2,7,3] => [1,2,7,3,4,6,5] => 1
[5,4,6,1,3,2,7] => [1,3,2,7,4,6,5] => 1
[5,4,6,1,3,7,2] => [1,3,7,2,4,6,5] => 1
[5,4,6,2,1,3,7] => [1,3,7,2,4,6,5] => 1
[5,4,6,2,3,7,1] => [1,2,3,7,4,6,5] => 1
[5,4,6,2,7,1,3] => [1,3,2,7,4,6,5] => 1
[5,4,6,2,7,3,1] => [1,2,7,3,4,6,5] => 1
[5,4,6,3,1,2,7] => [1,2,7,3,4,6,5] => 1
[5,4,6,3,2,7,1] => [1,2,7,3,4,6,5] => 1
[5,4,6,3,7,1,2] => [1,2,3,7,4,6,5] => 1
[5,4,6,3,7,2,1] => [1,2,3,7,4,6,5] => 1
[5,4,6,7,1,2,3] => [1,2,3,4,6,7,5] => 1
[5,4,6,7,1,3,2] => [1,3,2,4,6,7,5] => 1
[5,4,6,7,2,1,3] => [1,3,2,4,6,7,5] => 1
[5,4,6,7,2,3,1] => [1,2,3,4,6,7,5] => 1
[5,4,6,7,3,1,2] => [1,2,3,4,6,7,5] => 1
[5,4,6,7,3,2,1] => [1,2,3,4,6,7,5] => 1
[5,4,7,1,2,3,6] => [1,2,3,6,4,7,5] => 1
[5,4,7,1,2,6,3] => [1,2,6,3,4,7,5] => 1
[5,4,7,1,3,2,6] => [1,3,2,6,4,7,5] => 1
[5,4,7,1,3,6,2] => [1,3,6,2,4,7,5] => 1
[5,4,7,2,1,3,6] => [1,3,6,2,4,7,5] => 1
[5,4,7,2,3,6,1] => [1,2,3,6,4,7,5] => 1
[5,4,7,2,6,1,3] => [1,3,2,6,4,7,5] => 1
[5,4,7,2,6,3,1] => [1,2,6,3,4,7,5] => 1
[5,4,7,3,1,2,6] => [1,2,6,3,4,7,5] => 1
[5,4,7,3,2,6,1] => [1,2,6,3,4,7,5] => 1
[5,4,7,3,6,1,2] => [1,2,3,6,4,7,5] => 1
[5,4,7,3,6,2,1] => [1,2,3,6,4,7,5] => 1
[5,4,7,6,1,2,3] => [1,2,3,4,7,5,6] => 1
[5,4,7,6,1,3,2] => [1,3,2,4,7,5,6] => 1
[5,4,7,6,2,1,3] => [1,3,2,4,7,5,6] => 1
[5,4,7,6,2,3,1] => [1,2,3,4,7,5,6] => 1
[5,4,7,6,3,1,2] => [1,2,3,4,7,5,6] => 1
[5,4,7,6,3,2,1] => [1,2,3,4,7,5,6] => 1
[5,6,1,2,3,4,7] => [1,2,3,4,7,5,6] => 1
[5,6,1,2,3,7,4] => [1,2,3,7,4,5,6] => 1
[5,6,1,2,4,3,7] => [1,2,4,3,7,5,6] => 1
[5,6,1,2,4,7,3] => [1,2,4,7,3,5,6] => 1
[5,6,1,2,7,3,4] => [1,2,7,3,4,5,6] => 1
[5,6,1,2,7,4,3] => [1,2,7,3,4,5,6] => 1
[5,6,1,3,2,4,7] => [1,3,2,4,7,5,6] => 1
[5,6,1,3,2,7,4] => [1,3,2,7,4,5,6] => 1
[5,6,1,3,4,2,7] => [1,3,4,2,7,5,6] => 1
[5,6,1,3,4,7,2] => [1,3,4,7,2,5,6] => 1
[5,6,1,3,7,2,4] => [1,3,7,2,4,5,6] => 1
[5,6,1,3,7,4,2] => [1,3,7,2,4,5,6] => 1
[5,6,1,4,2,3,7] => [1,4,2,3,7,5,6] => 1
[5,6,1,4,2,7,3] => [1,4,2,7,3,5,6] => 1
[5,6,1,4,3,2,7] => [1,4,2,7,3,5,6] => 1
[5,6,1,4,3,7,2] => [1,4,2,3,7,5,6] => 1
[5,6,2,1,3,4,7] => [1,3,4,7,2,5,6] => 1
[5,6,2,1,3,7,4] => [1,3,7,2,4,5,6] => 1
[5,6,2,1,4,3,7] => [1,4,2,3,7,5,6] => 1
[5,6,2,3,4,7,1] => [1,2,3,4,7,5,6] => 1
[5,6,2,3,7,1,4] => [1,4,2,3,7,5,6] => 1
[5,6,2,3,7,4,1] => [1,2,3,7,4,5,6] => 1
[5,6,2,4,1,3,7] => [1,3,7,2,4,5,6] => 1
[5,6,2,4,3,7,1] => [1,2,4,3,7,5,6] => 1
[5,6,2,4,7,1,3] => [1,3,2,4,7,5,6] => 1
[5,6,2,4,7,3,1] => [1,2,4,7,3,5,6] => 1
[5,6,2,7,1,3,4] => [1,3,4,2,7,5,6] => 1
[5,6,2,7,1,4,3] => [1,4,2,7,3,5,6] => 1
[5,6,2,7,3,1,4] => [1,4,2,7,3,5,6] => 1
[5,6,2,7,3,4,1] => [1,2,7,3,4,5,6] => 1
[5,6,2,7,4,1,3] => [1,3,2,7,4,5,6] => 1
[5,6,2,7,4,3,1] => [1,2,7,3,4,5,6] => 1
[5,6,3,1,2,4,7] => [1,2,4,7,3,5,6] => 1
[5,6,3,1,2,7,4] => [1,2,7,3,4,5,6] => 1
[5,6,3,1,4,2,7] => [1,4,2,7,3,5,6] => 1
[5,6,3,2,4,7,1] => [1,2,4,7,3,5,6] => 1
[5,6,3,2,7,1,4] => [1,4,2,7,3,5,6] => 1
[5,6,3,2,7,4,1] => [1,2,7,3,4,5,6] => 1
[5,6,3,4,1,2,7] => [1,2,7,3,4,5,6] => 1
[5,6,3,4,2,7,1] => [1,2,7,3,4,5,6] => 1
[5,6,3,4,7,1,2] => [1,2,3,4,7,5,6] => 1
[5,6,3,4,7,2,1] => [1,2,3,4,7,5,6] => 1
[5,6,3,7,1,2,4] => [1,2,4,3,7,5,6] => 1
[5,6,3,7,1,4,2] => [1,4,2,3,7,5,6] => 1
[5,6,3,7,2,1,4] => [1,4,2,3,7,5,6] => 1
[5,6,3,7,2,4,1] => [1,2,4,3,7,5,6] => 1
[5,6,3,7,4,1,2] => [1,2,3,7,4,5,6] => 1
[5,6,3,7,4,2,1] => [1,2,3,7,4,5,6] => 1
[5,6,4,1,2,3,7] => [1,2,3,7,4,5,6] => 1
[5,6,4,1,2,7,3] => [1,2,7,3,4,5,6] => 1
[5,6,4,1,3,2,7] => [1,3,2,7,4,5,6] => 1
[5,6,4,1,3,7,2] => [1,3,7,2,4,5,6] => 1
[5,6,4,2,1,3,7] => [1,3,7,2,4,5,6] => 1
[5,6,4,2,3,7,1] => [1,2,3,7,4,5,6] => 1
[5,6,4,2,7,1,3] => [1,3,2,7,4,5,6] => 1
[5,6,4,2,7,3,1] => [1,2,7,3,4,5,6] => 1
[5,6,4,3,1,2,7] => [1,2,7,3,4,5,6] => 1
[5,6,4,3,2,7,1] => [1,2,7,3,4,5,6] => 1
[5,6,4,3,7,1,2] => [1,2,3,7,4,5,6] => 1
[5,6,4,3,7,2,1] => [1,2,3,7,4,5,6] => 1
[5,6,4,7,1,2,3] => [1,2,3,4,7,5,6] => 1
[5,6,4,7,1,3,2] => [1,3,2,4,7,5,6] => 1
[5,6,4,7,2,1,3] => [1,3,2,4,7,5,6] => 1
[5,6,4,7,2,3,1] => [1,2,3,4,7,5,6] => 1
[5,6,4,7,3,1,2] => [1,2,3,4,7,5,6] => 1
[5,6,4,7,3,2,1] => [1,2,3,4,7,5,6] => 1
[5,6,7,1,2,3,4] => [1,2,3,4,5,6,7] => 1
[5,6,7,1,2,4,3] => [1,2,4,3,5,6,7] => 1
[5,6,7,1,3,2,4] => [1,3,2,4,5,6,7] => 1
[5,6,7,1,3,4,2] => [1,3,4,2,5,6,7] => 1
[5,6,7,1,4,2,3] => [1,4,2,3,5,6,7] => 1
[5,6,7,1,4,3,2] => [1,4,2,3,5,6,7] => 1
[5,6,7,2,1,3,4] => [1,3,4,2,5,6,7] => 1
[5,6,7,2,1,4,3] => [1,4,2,3,5,6,7] => 1
[5,6,7,2,3,1,4] => [1,4,2,3,5,6,7] => 1
[5,6,7,2,3,4,1] => [1,2,3,4,5,6,7] => 1
[5,6,7,2,4,1,3] => [1,3,2,4,5,6,7] => 1
[5,6,7,2,4,3,1] => [1,2,4,3,5,6,7] => 1
[5,6,7,3,1,2,4] => [1,2,4,3,5,6,7] => 1
[5,6,7,3,1,4,2] => [1,4,2,3,5,6,7] => 1
[5,6,7,3,2,1,4] => [1,4,2,3,5,6,7] => 1
[5,6,7,3,2,4,1] => [1,2,4,3,5,6,7] => 1
[5,6,7,3,4,1,2] => [1,2,3,4,5,6,7] => 1
[5,6,7,3,4,2,1] => [1,2,3,4,5,6,7] => 1
[5,6,7,4,1,2,3] => [1,2,3,4,5,6,7] => 1
[5,6,7,4,1,3,2] => [1,3,2,4,5,6,7] => 1
[5,6,7,4,2,1,3] => [1,3,2,4,5,6,7] => 1
[5,6,7,4,2,3,1] => [1,2,3,4,5,6,7] => 1
[5,6,7,4,3,1,2] => [1,2,3,4,5,6,7] => 1
[5,6,7,4,3,2,1] => [1,2,3,4,5,6,7] => 1
[5,7,1,2,3,4,6] => [1,2,3,4,6,5,7] => 1
[5,7,1,2,3,6,4] => [1,2,3,6,4,5,7] => 1
[5,7,1,2,4,3,6] => [1,2,4,3,6,5,7] => 1
[5,7,1,2,4,6,3] => [1,2,4,6,3,5,7] => 1
[5,7,1,2,6,3,4] => [1,2,6,3,4,5,7] => 1
[5,7,1,2,6,4,3] => [1,2,6,3,4,5,7] => 1
[5,7,1,3,2,4,6] => [1,3,2,4,6,5,7] => 1
[5,7,1,3,2,6,4] => [1,3,2,6,4,5,7] => 1
[5,7,1,3,4,2,6] => [1,3,4,2,6,5,7] => 1
[5,7,1,3,4,6,2] => [1,3,4,6,2,5,7] => 1
[5,7,1,3,6,2,4] => [1,3,6,2,4,5,7] => 1
[5,7,1,3,6,4,2] => [1,3,6,2,4,5,7] => 1
[5,7,1,4,2,3,6] => [1,4,2,3,6,5,7] => 1
[5,7,1,4,2,6,3] => [1,4,2,6,3,5,7] => 1
[5,7,1,4,3,2,6] => [1,4,2,6,3,5,7] => 1
[5,7,1,4,3,6,2] => [1,4,2,3,6,5,7] => 1
[5,7,1,4,6,2,3] => [1,4,6,2,3,5,7] => 1
[5,7,1,4,6,3,2] => [1,4,6,2,3,5,7] => 1
[5,7,2,1,3,4,6] => [1,3,4,6,2,5,7] => 1
[5,7,2,1,3,6,4] => [1,3,6,2,4,5,7] => 1
[5,7,2,1,4,3,6] => [1,4,2,3,6,5,7] => 1
[5,7,2,1,4,6,3] => [1,4,6,2,3,5,7] => 1
[5,7,2,3,1,4,6] => [1,4,6,2,3,5,7] => 1
[5,7,2,3,4,6,1] => [1,2,3,4,6,5,7] => 1
[5,7,2,3,6,1,4] => [1,4,2,3,6,5,7] => 1
[5,7,2,3,6,4,1] => [1,2,3,6,4,5,7] => 1
[5,7,2,4,1,3,6] => [1,3,6,2,4,5,7] => 1
[5,7,2,4,3,6,1] => [1,2,4,3,6,5,7] => 1
[5,7,2,4,6,1,3] => [1,3,2,4,6,5,7] => 1
[5,7,2,4,6,3,1] => [1,2,4,6,3,5,7] => 1
[5,7,2,6,1,3,4] => [1,3,4,2,6,5,7] => 1
[5,7,2,6,1,4,3] => [1,4,2,6,3,5,7] => 1
[5,7,2,6,3,1,4] => [1,4,2,6,3,5,7] => 1
[5,7,2,6,3,4,1] => [1,2,6,3,4,5,7] => 1
[5,7,2,6,4,1,3] => [1,3,2,6,4,5,7] => 1
[5,7,2,6,4,3,1] => [1,2,6,3,4,5,7] => 1
[5,7,3,1,2,4,6] => [1,2,4,6,3,5,7] => 1
[5,7,3,1,2,6,4] => [1,2,6,3,4,5,7] => 1
[5,7,3,1,4,2,6] => [1,4,2,6,3,5,7] => 1
[5,7,3,1,4,6,2] => [1,4,6,2,3,5,7] => 1
[5,7,3,2,1,4,6] => [1,4,6,2,3,5,7] => 1
[5,7,3,2,4,6,1] => [1,2,4,6,3,5,7] => 1
[5,7,3,2,6,1,4] => [1,4,2,6,3,5,7] => 1
[5,7,3,2,6,4,1] => [1,2,6,3,4,5,7] => 1
[5,7,3,4,1,2,6] => [1,2,6,3,4,5,7] => 1
[5,7,3,4,2,6,1] => [1,2,6,3,4,5,7] => 1
[5,7,3,4,6,1,2] => [1,2,3,4,6,5,7] => 1
[5,7,3,4,6,2,1] => [1,2,3,4,6,5,7] => 1
[5,7,3,6,1,2,4] => [1,2,4,3,6,5,7] => 1
[5,7,3,6,1,4,2] => [1,4,2,3,6,5,7] => 1
[5,7,3,6,2,1,4] => [1,4,2,3,6,5,7] => 1
[5,7,3,6,2,4,1] => [1,2,4,3,6,5,7] => 1
[5,7,3,6,4,1,2] => [1,2,3,6,4,5,7] => 1
[5,7,3,6,4,2,1] => [1,2,3,6,4,5,7] => 1
[5,7,4,1,2,3,6] => [1,2,3,6,4,5,7] => 1
[5,7,4,1,2,6,3] => [1,2,6,3,4,5,7] => 1
[5,7,4,1,3,2,6] => [1,3,2,6,4,5,7] => 1
[5,7,4,1,3,6,2] => [1,3,6,2,4,5,7] => 1
[5,7,4,2,1,3,6] => [1,3,6,2,4,5,7] => 1
[5,7,4,2,3,6,1] => [1,2,3,6,4,5,7] => 1
[5,7,4,2,6,1,3] => [1,3,2,6,4,5,7] => 1
[5,7,4,2,6,3,1] => [1,2,6,3,4,5,7] => 1
[5,7,4,3,1,2,6] => [1,2,6,3,4,5,7] => 1
[5,7,4,3,2,6,1] => [1,2,6,3,4,5,7] => 1
[5,7,4,3,6,1,2] => [1,2,3,6,4,5,7] => 1
[5,7,4,3,6,2,1] => [1,2,3,6,4,5,7] => 1
[5,7,4,6,1,2,3] => [1,2,3,4,6,5,7] => 1
[5,7,4,6,1,3,2] => [1,3,2,4,6,5,7] => 1
[5,7,4,6,2,1,3] => [1,3,2,4,6,5,7] => 1
[5,7,4,6,2,3,1] => [1,2,3,4,6,5,7] => 1
[5,7,4,6,3,1,2] => [1,2,3,4,6,5,7] => 1
[5,7,4,6,3,2,1] => [1,2,3,4,6,5,7] => 1
[5,7,6,1,2,3,4] => [1,2,3,4,5,7,6] => 1
[5,7,6,1,2,4,3] => [1,2,4,3,5,7,6] => 1
[5,7,6,1,3,2,4] => [1,3,2,4,5,7,6] => 1
[5,7,6,1,3,4,2] => [1,3,4,2,5,7,6] => 1
[5,7,6,1,4,2,3] => [1,4,2,3,5,7,6] => 1
[5,7,6,1,4,3,2] => [1,4,2,3,5,7,6] => 1
[5,7,6,2,1,3,4] => [1,3,4,2,5,7,6] => 1
[5,7,6,2,1,4,3] => [1,4,2,3,5,7,6] => 1
[5,7,6,2,3,1,4] => [1,4,2,3,5,7,6] => 1
[5,7,6,2,3,4,1] => [1,2,3,4,5,7,6] => 1
[5,7,6,2,4,1,3] => [1,3,2,4,5,7,6] => 1
[5,7,6,2,4,3,1] => [1,2,4,3,5,7,6] => 1
[5,7,6,3,1,2,4] => [1,2,4,3,5,7,6] => 1
[5,7,6,3,1,4,2] => [1,4,2,3,5,7,6] => 1
[5,7,6,3,2,1,4] => [1,4,2,3,5,7,6] => 1
[5,7,6,3,2,4,1] => [1,2,4,3,5,7,6] => 1
[5,7,6,3,4,1,2] => [1,2,3,4,5,7,6] => 1
[5,7,6,3,4,2,1] => [1,2,3,4,5,7,6] => 1
[5,7,6,4,1,2,3] => [1,2,3,4,5,7,6] => 1
[5,7,6,4,1,3,2] => [1,3,2,4,5,7,6] => 1
[5,7,6,4,2,1,3] => [1,3,2,4,5,7,6] => 1
[5,7,6,4,2,3,1] => [1,2,3,4,5,7,6] => 1
[5,7,6,4,3,1,2] => [1,2,3,4,5,7,6] => 1
[5,7,6,4,3,2,1] => [1,2,3,4,5,7,6] => 1
[6,1,2,3,4,5,7] => [1,2,3,4,5,7,6] => 1
[6,1,2,3,4,7,5] => [1,2,3,4,7,5,6] => 1
[6,1,2,3,5,4,7] => [1,2,3,5,4,7,6] => 1
[6,1,2,3,5,7,4] => [1,2,3,5,7,4,6] => 1
[6,1,2,3,7,4,5] => [1,2,3,7,4,5,6] => 1
[6,1,2,3,7,5,4] => [1,2,3,7,4,5,6] => 1
[6,1,2,4,3,5,7] => [1,2,4,3,5,7,6] => 1
[6,1,2,4,3,7,5] => [1,2,4,3,7,5,6] => 1
[6,1,2,4,5,3,7] => [1,2,4,5,3,7,6] => 1
[6,1,2,4,5,7,3] => [1,2,4,5,7,3,6] => 1
[6,1,2,4,7,3,5] => [1,2,4,7,3,5,6] => 1
[6,1,2,4,7,5,3] => [1,2,4,7,3,5,6] => 1
[6,1,2,5,3,4,7] => [1,2,5,3,4,7,6] => 1
[6,1,2,5,3,7,4] => [1,2,5,3,7,4,6] => 1
[6,1,2,5,4,3,7] => [1,2,5,3,7,4,6] => 1
[6,1,2,5,4,7,3] => [1,2,5,3,4,7,6] => 1
[6,1,2,5,7,3,4] => [1,2,5,7,3,4,6] => 1
[6,1,2,5,7,4,3] => [1,2,5,7,3,4,6] => 1
[6,1,2,7,3,4,5] => [1,2,7,3,4,5,6] => 1
[6,1,2,7,3,5,4] => [1,2,7,3,5,4,6] => 1
[6,1,2,7,4,3,5] => [1,2,7,3,5,4,6] => 1
[6,1,2,7,4,5,3] => [1,2,7,3,4,5,6] => 1
[6,1,2,7,5,3,4] => [1,2,7,3,4,5,6] => 1
[6,1,2,7,5,4,3] => [1,2,7,3,4,5,6] => 1
[6,1,3,2,4,5,7] => [1,3,2,4,5,7,6] => 1
[6,1,3,2,4,7,5] => [1,3,2,4,7,5,6] => 1
[6,1,3,2,5,4,7] => [1,3,2,5,4,7,6] => 1
[6,1,3,2,5,7,4] => [1,3,2,5,7,4,6] => 1
[6,1,3,2,7,4,5] => [1,3,2,7,4,5,6] => 1
[6,1,3,2,7,5,4] => [1,3,2,7,4,5,6] => 1
[6,1,3,4,2,5,7] => [1,3,4,2,5,7,6] => 1
[6,1,3,4,2,7,5] => [1,3,4,2,7,5,6] => 1
[6,1,3,4,5,2,7] => [1,3,4,5,2,7,6] => 1
[6,1,3,4,5,7,2] => [1,3,4,5,7,2,6] => 1
[6,1,3,4,7,2,5] => [1,3,4,7,2,5,6] => 1
[6,1,3,4,7,5,2] => [1,3,4,7,2,5,6] => 1
[6,1,3,5,2,4,7] => [1,3,5,2,4,7,6] => 1
[6,1,3,5,2,7,4] => [1,3,5,2,7,4,6] => 1
[6,1,3,5,4,2,7] => [1,3,5,2,7,4,6] => 1
[6,1,3,5,4,7,2] => [1,3,5,2,4,7,6] => 1
[6,1,3,5,7,2,4] => [1,3,5,7,2,4,6] => 1
[6,1,3,5,7,4,2] => [1,3,5,7,2,4,6] => 1
[6,1,3,7,2,4,5] => [1,3,7,2,4,5,6] => 1
[6,1,3,7,2,5,4] => [1,3,7,2,5,4,6] => 1
[6,1,3,7,4,2,5] => [1,3,7,2,5,4,6] => 1
[6,1,3,7,4,5,2] => [1,3,7,2,4,5,6] => 1
[6,1,3,7,5,2,4] => [1,3,7,2,4,5,6] => 1
[6,1,3,7,5,4,2] => [1,3,7,2,4,5,6] => 1
[6,1,4,2,3,5,7] => [1,4,2,3,5,7,6] => 1
[6,1,4,2,3,7,5] => [1,4,2,3,7,5,6] => 1
[6,1,4,2,5,3,7] => [1,4,2,5,3,7,6] => 1
[6,1,4,2,5,7,3] => [1,4,2,5,7,3,6] => 1
[6,1,4,2,7,3,5] => [1,4,2,7,3,5,6] => 1
[6,1,4,2,7,5,3] => [1,4,2,7,3,5,6] => 1
[6,1,4,3,2,5,7] => [1,4,2,5,7,3,6] => 1
[6,1,4,3,2,7,5] => [1,4,2,7,3,5,6] => 1
[6,1,4,3,5,2,7] => [1,4,2,7,3,5,6] => 1
[6,1,4,3,5,7,2] => [1,4,2,3,5,7,6] => 1
[6,1,4,3,7,2,5] => [1,4,2,5,3,7,6] => 1
[6,1,4,3,7,5,2] => [1,4,2,3,7,5,6] => 1
[6,1,4,5,2,3,7] => [1,4,5,2,3,7,6] => 1
[6,1,4,5,2,7,3] => [1,4,5,2,7,3,6] => 1
[6,1,4,5,3,2,7] => [1,4,5,2,7,3,6] => 1
[6,1,4,5,3,7,2] => [1,4,5,2,3,7,6] => 1
[6,1,4,5,7,2,3] => [1,4,5,7,2,3,6] => 1
[6,1,4,5,7,3,2] => [1,4,5,7,2,3,6] => 1
[6,2,1,3,4,5,7] => [1,3,4,5,7,2,6] => 1
[6,2,1,3,4,7,5] => [1,3,4,7,2,5,6] => 1
[6,2,1,3,5,4,7] => [1,3,5,2,4,7,6] => 1
[6,2,1,3,5,7,4] => [1,3,5,7,2,4,6] => 1
[6,2,1,3,7,4,5] => [1,3,7,2,4,5,6] => 1
[6,2,1,3,7,5,4] => [1,3,7,2,4,5,6] => 1
[6,2,1,4,3,5,7] => [1,4,2,3,5,7,6] => 1
[6,2,1,4,3,7,5] => [1,4,2,3,7,5,6] => 1
[6,2,1,4,5,3,7] => [1,4,5,2,3,7,6] => 1
[6,2,1,4,5,7,3] => [1,4,5,7,2,3,6] => 1
[6,2,3,1,4,5,7] => [1,4,5,7,2,3,6] => 1
[6,2,3,4,5,7,1] => [1,2,3,4,5,7,6] => 1
[6,2,3,4,7,5,1] => [1,2,3,4,7,5,6] => 1
[6,2,3,5,4,7,1] => [1,2,3,5,4,7,6] => 1
[6,2,3,5,7,1,4] => [1,4,2,3,5,7,6] => 1
[6,2,3,5,7,4,1] => [1,2,3,5,7,4,6] => 1
[6,2,3,7,1,4,5] => [1,4,5,2,3,7,6] => 1
[6,2,3,7,4,5,1] => [1,2,3,7,4,5,6] => 1
[6,2,3,7,5,1,4] => [1,4,2,3,7,5,6] => 1
[6,2,3,7,5,4,1] => [1,2,3,7,4,5,6] => 1
[6,2,4,1,3,5,7] => [1,3,5,7,2,4,6] => 1
[6,2,4,1,3,7,5] => [1,3,7,2,4,5,6] => 1
[6,2,4,3,5,7,1] => [1,2,4,3,5,7,6] => 1
[6,2,4,3,7,5,1] => [1,2,4,3,7,5,6] => 1
[6,2,4,5,1,3,7] => [1,3,7,2,4,5,6] => 1
[6,2,4,5,3,7,1] => [1,2,4,5,3,7,6] => 1
[6,2,4,5,7,1,3] => [1,3,2,4,5,7,6] => 1
[6,2,4,5,7,3,1] => [1,2,4,5,7,3,6] => 1
[6,2,4,7,1,3,5] => [1,3,5,2,4,7,6] => 1
[6,2,4,7,3,5,1] => [1,2,4,7,3,5,6] => 1
[6,2,4,7,5,1,3] => [1,3,2,4,7,5,6] => 1
[6,2,4,7,5,3,1] => [1,2,4,7,3,5,6] => 1
[6,2,5,1,3,4,7] => [1,3,4,7,2,5,6] => 1
[6,2,5,1,3,7,4] => [1,3,7,2,5,4,6] => 1
[6,2,5,1,4,3,7] => [1,4,2,5,3,7,6] => 1
[6,2,5,3,4,7,1] => [1,2,5,3,4,7,6] => 1
[6,2,5,3,7,1,4] => [1,4,2,5,3,7,6] => 1
[6,2,5,3,7,4,1] => [1,2,5,3,7,4,6] => 1
[6,2,5,4,1,3,7] => [1,3,7,2,5,4,6] => 1
[6,2,5,4,3,7,1] => [1,2,5,3,7,4,6] => 1
[6,2,5,4,7,1,3] => [1,3,2,5,4,7,6] => 1
[6,2,5,4,7,3,1] => [1,2,5,3,4,7,6] => 1
[6,2,5,7,1,3,4] => [1,3,4,2,5,7,6] => 1
[6,2,5,7,1,4,3] => [1,4,2,5,7,3,6] => 1
[6,2,5,7,3,1,4] => [1,4,2,5,7,3,6] => 1
[6,2,5,7,3,4,1] => [1,2,5,7,3,4,6] => 1
[6,2,5,7,4,1,3] => [1,3,2,5,7,4,6] => 1
[6,2,5,7,4,3,1] => [1,2,5,7,3,4,6] => 1
[6,2,7,1,3,4,5] => [1,3,4,5,2,7,6] => 1
[6,2,7,1,3,5,4] => [1,3,5,2,7,4,6] => 1
[6,2,7,1,4,3,5] => [1,4,2,7,3,5,6] => 1
[6,2,7,1,4,5,3] => [1,4,5,2,7,3,6] => 1
[6,2,7,3,1,4,5] => [1,4,5,2,7,3,6] => 1
[6,2,7,3,4,5,1] => [1,2,7,3,4,5,6] => 1
[6,2,7,3,5,1,4] => [1,4,2,7,3,5,6] => 1
[6,2,7,3,5,4,1] => [1,2,7,3,5,4,6] => 1
[6,2,7,4,1,3,5] => [1,3,5,2,7,4,6] => 1
[6,2,7,4,3,5,1] => [1,2,7,3,5,4,6] => 1
[6,2,7,4,5,1,3] => [1,3,2,7,4,5,6] => 1
[6,2,7,4,5,3,1] => [1,2,7,3,4,5,6] => 1
[6,2,7,5,1,3,4] => [1,3,4,2,7,5,6] => 1
[6,2,7,5,1,4,3] => [1,4,2,7,3,5,6] => 1
[6,2,7,5,3,1,4] => [1,4,2,7,3,5,6] => 1
[6,2,7,5,3,4,1] => [1,2,7,3,4,5,6] => 1
[6,2,7,5,4,1,3] => [1,3,2,7,4,5,6] => 1
[6,2,7,5,4,3,1] => [1,2,7,3,4,5,6] => 1
[6,3,1,2,4,5,7] => [1,2,4,5,7,3,6] => 1
[6,3,1,2,4,7,5] => [1,2,4,7,3,5,6] => 1
[6,3,1,2,5,4,7] => [1,2,5,3,4,7,6] => 1
[6,3,1,2,5,7,4] => [1,2,5,7,3,4,6] => 1
[6,3,1,2,7,4,5] => [1,2,7,3,4,5,6] => 1
[6,3,1,2,7,5,4] => [1,2,7,3,4,5,6] => 1
[6,3,1,4,2,5,7] => [1,4,2,5,7,3,6] => 1
[6,3,1,4,2,7,5] => [1,4,2,7,3,5,6] => 1
[6,3,1,4,5,2,7] => [1,4,5,2,7,3,6] => 1
[6,3,1,4,5,7,2] => [1,4,5,7,2,3,6] => 1
[6,3,2,1,4,5,7] => [1,4,5,7,2,3,6] => 1
[6,3,2,4,5,7,1] => [1,2,4,5,7,3,6] => 1
[6,3,2,4,7,5,1] => [1,2,4,7,3,5,6] => 1
[6,3,2,5,4,7,1] => [1,2,5,3,4,7,6] => 1
[6,3,2,5,7,1,4] => [1,4,2,5,7,3,6] => 1
[6,3,2,5,7,4,1] => [1,2,5,7,3,4,6] => 1
[6,3,2,7,1,4,5] => [1,4,5,2,7,3,6] => 1
[6,3,2,7,4,5,1] => [1,2,7,3,4,5,6] => 1
[6,3,2,7,5,1,4] => [1,4,2,7,3,5,6] => 1
[6,3,2,7,5,4,1] => [1,2,7,3,4,5,6] => 1
[6,3,4,1,2,5,7] => [1,2,5,7,3,4,6] => 1
[6,3,4,1,2,7,5] => [1,2,7,3,4,5,6] => 1
[6,3,4,2,5,7,1] => [1,2,5,7,3,4,6] => 1
[6,3,4,2,7,5,1] => [1,2,7,3,4,5,6] => 1
[6,3,4,5,1,2,7] => [1,2,7,3,4,5,6] => 1
[6,3,4,5,2,7,1] => [1,2,7,3,4,5,6] => 1
[6,3,4,5,7,1,2] => [1,2,3,4,5,7,6] => 1
[6,3,4,5,7,2,1] => [1,2,3,4,5,7,6] => 1
[6,3,4,7,1,2,5] => [1,2,5,3,4,7,6] => 1
[6,3,4,7,2,5,1] => [1,2,5,3,4,7,6] => 1
[6,3,4,7,5,1,2] => [1,2,3,4,7,5,6] => 1
[6,3,4,7,5,2,1] => [1,2,3,4,7,5,6] => 1
[6,3,5,1,2,4,7] => [1,2,4,7,3,5,6] => 1
[6,3,5,1,2,7,4] => [1,2,7,3,5,4,6] => 1
[6,3,5,1,4,2,7] => [1,4,2,7,3,5,6] => 1
[6,3,5,2,4,7,1] => [1,2,4,7,3,5,6] => 1
[6,3,5,2,7,1,4] => [1,4,2,7,3,5,6] => 1
[6,3,5,2,7,4,1] => [1,2,7,3,5,4,6] => 1
[6,3,5,4,1,2,7] => [1,2,7,3,5,4,6] => 1
[6,3,5,4,2,7,1] => [1,2,7,3,5,4,6] => 1
[6,3,5,4,7,1,2] => [1,2,3,5,4,7,6] => 1
[6,3,5,4,7,2,1] => [1,2,3,5,4,7,6] => 1
[6,3,5,7,1,2,4] => [1,2,4,3,5,7,6] => 1
[6,3,5,7,1,4,2] => [1,4,2,3,5,7,6] => 1
[6,3,5,7,2,1,4] => [1,4,2,3,5,7,6] => 1
[6,3,5,7,2,4,1] => [1,2,4,3,5,7,6] => 1
[6,3,5,7,4,1,2] => [1,2,3,5,7,4,6] => 1
[6,3,5,7,4,2,1] => [1,2,3,5,7,4,6] => 1
[6,3,7,1,2,4,5] => [1,2,4,5,3,7,6] => 1
[6,3,7,1,2,5,4] => [1,2,5,3,7,4,6] => 1
[6,3,7,1,4,2,5] => [1,4,2,5,3,7,6] => 1
[6,3,7,1,4,5,2] => [1,4,5,2,3,7,6] => 1
[6,3,7,2,1,4,5] => [1,4,5,2,3,7,6] => 1
[6,3,7,2,4,5,1] => [1,2,4,5,3,7,6] => 1
[6,3,7,2,5,1,4] => [1,4,2,5,3,7,6] => 1
[6,3,7,2,5,4,1] => [1,2,5,3,7,4,6] => 1
[6,3,7,4,1,2,5] => [1,2,5,3,7,4,6] => 1
[6,3,7,4,2,5,1] => [1,2,5,3,7,4,6] => 1
[6,3,7,4,5,1,2] => [1,2,3,7,4,5,6] => 1
[6,3,7,4,5,2,1] => [1,2,3,7,4,5,6] => 1
[6,3,7,5,1,2,4] => [1,2,4,3,7,5,6] => 1
[6,3,7,5,1,4,2] => [1,4,2,3,7,5,6] => 1
[6,3,7,5,2,1,4] => [1,4,2,3,7,5,6] => 1
[6,3,7,5,2,4,1] => [1,2,4,3,7,5,6] => 1
[6,3,7,5,4,1,2] => [1,2,3,7,4,5,6] => 1
[6,3,7,5,4,2,1] => [1,2,3,7,4,5,6] => 1
[6,4,1,2,3,5,7] => [1,2,3,5,7,4,6] => 1
[6,4,1,2,3,7,5] => [1,2,3,7,4,5,6] => 1
[6,4,1,2,5,3,7] => [1,2,5,3,7,4,6] => 1
[6,4,1,2,5,7,3] => [1,2,5,7,3,4,6] => 1
[6,4,1,2,7,3,5] => [1,2,7,3,5,4,6] => 1
[6,4,1,2,7,5,3] => [1,2,7,3,4,5,6] => 1
[6,4,1,3,2,5,7] => [1,3,2,5,7,4,6] => 1
[6,4,1,3,2,7,5] => [1,3,2,7,4,5,6] => 1
[6,4,1,3,5,2,7] => [1,3,5,2,7,4,6] => 1
[6,4,1,3,5,7,2] => [1,3,5,7,2,4,6] => 1
[6,4,1,3,7,2,5] => [1,3,7,2,5,4,6] => 1
[6,4,1,3,7,5,2] => [1,3,7,2,4,5,6] => 1
[6,4,2,1,3,5,7] => [1,3,5,7,2,4,6] => 1
[6,4,2,1,3,7,5] => [1,3,7,2,4,5,6] => 1
[6,4,2,3,5,7,1] => [1,2,3,5,7,4,6] => 1
[6,4,2,3,7,5,1] => [1,2,3,7,4,5,6] => 1
[6,4,2,5,1,3,7] => [1,3,7,2,5,4,6] => 1
[6,4,2,5,3,7,1] => [1,2,5,3,7,4,6] => 1
[6,4,2,5,7,1,3] => [1,3,2,5,7,4,6] => 1
[6,4,2,5,7,3,1] => [1,2,5,7,3,4,6] => 1
[6,4,2,7,1,3,5] => [1,3,5,2,7,4,6] => 1
[6,4,2,7,3,5,1] => [1,2,7,3,5,4,6] => 1
[6,4,2,7,5,1,3] => [1,3,2,7,4,5,6] => 1
[6,4,2,7,5,3,1] => [1,2,7,3,4,5,6] => 1
[6,4,3,1,2,5,7] => [1,2,5,7,3,4,6] => 1
[6,4,3,1,2,7,5] => [1,2,7,3,4,5,6] => 1
[6,4,3,2,5,7,1] => [1,2,5,7,3,4,6] => 1
[6,4,3,2,7,5,1] => [1,2,7,3,4,5,6] => 1
[6,4,3,5,1,2,7] => [1,2,7,3,5,4,6] => 1
[6,4,3,5,2,7,1] => [1,2,7,3,5,4,6] => 1
[6,4,3,5,7,1,2] => [1,2,3,5,7,4,6] => 1
[6,4,3,5,7,2,1] => [1,2,3,5,7,4,6] => 1
[6,4,3,7,1,2,5] => [1,2,5,3,7,4,6] => 1
[6,4,3,7,2,5,1] => [1,2,5,3,7,4,6] => 1
[6,4,3,7,5,1,2] => [1,2,3,7,4,5,6] => 1
[6,4,3,7,5,2,1] => [1,2,3,7,4,5,6] => 1
[6,4,5,1,2,3,7] => [1,2,3,7,4,5,6] => 1
[6,4,5,1,2,7,3] => [1,2,7,3,4,5,6] => 1
[6,4,5,1,3,2,7] => [1,3,2,7,4,5,6] => 1
[6,4,5,1,3,7,2] => [1,3,7,2,4,5,6] => 1
[6,4,5,2,1,3,7] => [1,3,7,2,4,5,6] => 1
[6,4,5,2,3,7,1] => [1,2,3,7,4,5,6] => 1
[6,4,5,2,7,1,3] => [1,3,2,7,4,5,6] => 1
[6,4,5,2,7,3,1] => [1,2,7,3,4,5,6] => 1
[6,4,5,3,1,2,7] => [1,2,7,3,4,5,6] => 1
[6,4,5,3,2,7,1] => [1,2,7,3,4,5,6] => 1
[6,4,5,3,7,1,2] => [1,2,3,7,4,5,6] => 1
[6,4,5,3,7,2,1] => [1,2,3,7,4,5,6] => 1
[6,4,5,7,1,2,3] => [1,2,3,4,5,7,6] => 1
[6,4,5,7,1,3,2] => [1,3,2,4,5,7,6] => 1
[6,4,5,7,2,1,3] => [1,3,2,4,5,7,6] => 1
[6,4,5,7,2,3,1] => [1,2,3,4,5,7,6] => 1
[6,4,5,7,3,1,2] => [1,2,3,4,5,7,6] => 1
[6,4,5,7,3,2,1] => [1,2,3,4,5,7,6] => 1
[6,4,7,1,2,3,5] => [1,2,3,5,4,7,6] => 1
[6,4,7,1,2,5,3] => [1,2,5,3,4,7,6] => 1
[6,4,7,1,3,2,5] => [1,3,2,5,4,7,6] => 1
[6,4,7,1,3,5,2] => [1,3,5,2,4,7,6] => 1
[6,4,7,2,1,3,5] => [1,3,5,2,4,7,6] => 1
[6,4,7,2,3,5,1] => [1,2,3,5,4,7,6] => 1
[6,4,7,2,5,1,3] => [1,3,2,5,4,7,6] => 1
[6,4,7,2,5,3,1] => [1,2,5,3,4,7,6] => 1
[6,4,7,3,1,2,5] => [1,2,5,3,4,7,6] => 1
[6,4,7,3,2,5,1] => [1,2,5,3,4,7,6] => 1
[6,4,7,3,5,1,2] => [1,2,3,5,4,7,6] => 1
[6,4,7,3,5,2,1] => [1,2,3,5,4,7,6] => 1
[6,4,7,5,1,2,3] => [1,2,3,4,7,5,6] => 1
[6,4,7,5,1,3,2] => [1,3,2,4,7,5,6] => 1
[6,4,7,5,2,1,3] => [1,3,2,4,7,5,6] => 1
[6,4,7,5,2,3,1] => [1,2,3,4,7,5,6] => 1
[6,4,7,5,3,1,2] => [1,2,3,4,7,5,6] => 1
[6,4,7,5,3,2,1] => [1,2,3,4,7,5,6] => 1
[6,5,1,2,3,4,7] => [1,2,3,4,7,5,6] => 1
[6,5,1,2,3,7,4] => [1,2,3,7,4,5,6] => 1
[6,5,1,2,4,3,7] => [1,2,4,3,7,5,6] => 1
[6,5,1,2,4,7,3] => [1,2,4,7,3,5,6] => 1
[6,5,1,2,7,3,4] => [1,2,7,3,4,5,6] => 1
[6,5,1,2,7,4,3] => [1,2,7,3,4,5,6] => 1
[6,5,1,3,2,4,7] => [1,3,2,4,7,5,6] => 1
[6,5,1,3,2,7,4] => [1,3,2,7,4,5,6] => 1
[6,5,1,3,4,2,7] => [1,3,4,2,7,5,6] => 1
[6,5,1,3,4,7,2] => [1,3,4,7,2,5,6] => 1
[6,5,1,3,7,2,4] => [1,3,7,2,4,5,6] => 1
[6,5,1,3,7,4,2] => [1,3,7,2,4,5,6] => 1
[6,5,1,4,2,3,7] => [1,4,2,3,7,5,6] => 1
[6,5,1,4,2,7,3] => [1,4,2,7,3,5,6] => 1
[6,5,1,4,3,2,7] => [1,4,2,7,3,5,6] => 1
[6,5,1,4,3,7,2] => [1,4,2,3,7,5,6] => 1
[6,5,2,1,3,4,7] => [1,3,4,7,2,5,6] => 1
[6,5,2,1,3,7,4] => [1,3,7,2,4,5,6] => 1
[6,5,2,1,4,3,7] => [1,4,2,3,7,5,6] => 1
[6,5,2,3,4,7,1] => [1,2,3,4,7,5,6] => 1
[6,5,2,3,7,1,4] => [1,4,2,3,7,5,6] => 1
[6,5,2,3,7,4,1] => [1,2,3,7,4,5,6] => 1
[6,5,2,4,1,3,7] => [1,3,7,2,4,5,6] => 1
[6,5,2,4,3,7,1] => [1,2,4,3,7,5,6] => 1
[6,5,2,4,7,1,3] => [1,3,2,4,7,5,6] => 1
[6,5,2,4,7,3,1] => [1,2,4,7,3,5,6] => 1
[6,5,2,7,1,3,4] => [1,3,4,2,7,5,6] => 1
[6,5,2,7,1,4,3] => [1,4,2,7,3,5,6] => 1
[6,5,2,7,3,1,4] => [1,4,2,7,3,5,6] => 1
[6,5,2,7,3,4,1] => [1,2,7,3,4,5,6] => 1
[6,5,2,7,4,1,3] => [1,3,2,7,4,5,6] => 1
[6,5,2,7,4,3,1] => [1,2,7,3,4,5,6] => 1
[6,5,3,1,2,4,7] => [1,2,4,7,3,5,6] => 1
[6,5,3,1,2,7,4] => [1,2,7,3,4,5,6] => 1
[6,5,3,1,4,2,7] => [1,4,2,7,3,5,6] => 1
[6,5,3,2,4,7,1] => [1,2,4,7,3,5,6] => 1
[6,5,3,2,7,1,4] => [1,4,2,7,3,5,6] => 1
[6,5,3,2,7,4,1] => [1,2,7,3,4,5,6] => 1
[6,5,3,4,1,2,7] => [1,2,7,3,4,5,6] => 1
[6,5,3,4,2,7,1] => [1,2,7,3,4,5,6] => 1
[6,5,3,4,7,1,2] => [1,2,3,4,7,5,6] => 1
[6,5,3,4,7,2,1] => [1,2,3,4,7,5,6] => 1
[6,5,3,7,1,2,4] => [1,2,4,3,7,5,6] => 1
[6,5,3,7,1,4,2] => [1,4,2,3,7,5,6] => 1
[6,5,3,7,2,1,4] => [1,4,2,3,7,5,6] => 1
[6,5,3,7,2,4,1] => [1,2,4,3,7,5,6] => 1
[6,5,3,7,4,1,2] => [1,2,3,7,4,5,6] => 1
[6,5,3,7,4,2,1] => [1,2,3,7,4,5,6] => 1
[6,5,4,1,2,3,7] => [1,2,3,7,4,5,6] => 1
[6,5,4,1,2,7,3] => [1,2,7,3,4,5,6] => 1
[6,5,4,1,3,2,7] => [1,3,2,7,4,5,6] => 1
[6,5,4,1,3,7,2] => [1,3,7,2,4,5,6] => 1
[6,5,4,2,1,3,7] => [1,3,7,2,4,5,6] => 1
[6,5,4,2,3,7,1] => [1,2,3,7,4,5,6] => 1
[6,5,4,2,7,1,3] => [1,3,2,7,4,5,6] => 1
[6,5,4,2,7,3,1] => [1,2,7,3,4,5,6] => 1
[6,5,4,3,1,2,7] => [1,2,7,3,4,5,6] => 1
[6,5,4,3,2,7,1] => [1,2,7,3,4,5,6] => 1
[6,5,4,3,7,1,2] => [1,2,3,7,4,5,6] => 1
[6,5,4,3,7,2,1] => [1,2,3,7,4,5,6] => 1
[6,5,4,7,1,2,3] => [1,2,3,4,7,5,6] => 1
[6,5,4,7,1,3,2] => [1,3,2,4,7,5,6] => 1
[6,5,4,7,2,1,3] => [1,3,2,4,7,5,6] => 1
[6,5,4,7,2,3,1] => [1,2,3,4,7,5,6] => 1
[6,5,4,7,3,1,2] => [1,2,3,4,7,5,6] => 1
[6,5,4,7,3,2,1] => [1,2,3,4,7,5,6] => 1
[6,5,7,1,2,3,4] => [1,2,3,4,5,7,6] => 1
[6,5,7,1,2,4,3] => [1,2,4,3,5,7,6] => 1
[6,5,7,1,3,2,4] => [1,3,2,4,5,7,6] => 1
[6,5,7,1,3,4,2] => [1,3,4,2,5,7,6] => 1
[6,5,7,1,4,2,3] => [1,4,2,3,5,7,6] => 1
[6,5,7,1,4,3,2] => [1,4,2,3,5,7,6] => 1
[6,5,7,2,1,3,4] => [1,3,4,2,5,7,6] => 1
[6,5,7,2,1,4,3] => [1,4,2,3,5,7,6] => 1
[6,5,7,2,3,1,4] => [1,4,2,3,5,7,6] => 1
[6,5,7,2,3,4,1] => [1,2,3,4,5,7,6] => 1
[6,5,7,2,4,1,3] => [1,3,2,4,5,7,6] => 1
[6,5,7,2,4,3,1] => [1,2,4,3,5,7,6] => 1
[6,5,7,3,1,2,4] => [1,2,4,3,5,7,6] => 1
[6,5,7,3,1,4,2] => [1,4,2,3,5,7,6] => 1
[6,5,7,3,2,1,4] => [1,4,2,3,5,7,6] => 1
[6,5,7,3,2,4,1] => [1,2,4,3,5,7,6] => 1
[6,5,7,3,4,1,2] => [1,2,3,4,5,7,6] => 1
[6,5,7,3,4,2,1] => [1,2,3,4,5,7,6] => 1
[6,5,7,4,1,2,3] => [1,2,3,4,5,7,6] => 1
[6,5,7,4,1,3,2] => [1,3,2,4,5,7,6] => 1
[6,5,7,4,2,1,3] => [1,3,2,4,5,7,6] => 1
[6,5,7,4,2,3,1] => [1,2,3,4,5,7,6] => 1
[6,5,7,4,3,1,2] => [1,2,3,4,5,7,6] => 1
[6,5,7,4,3,2,1] => [1,2,3,4,5,7,6] => 1
[6,7,1,2,3,4,5] => [1,2,3,4,5,6,7] => 1
[6,7,1,2,3,5,4] => [1,2,3,5,4,6,7] => 1
[6,7,1,2,4,3,5] => [1,2,4,3,5,6,7] => 1
[6,7,1,2,4,5,3] => [1,2,4,5,3,6,7] => 1
[6,7,1,2,5,3,4] => [1,2,5,3,4,6,7] => 1
[6,7,1,2,5,4,3] => [1,2,5,3,4,6,7] => 1
[6,7,1,3,2,4,5] => [1,3,2,4,5,6,7] => 1
[6,7,1,3,2,5,4] => [1,3,2,5,4,6,7] => 1
[6,7,1,3,4,2,5] => [1,3,4,2,5,6,7] => 1
[6,7,1,3,4,5,2] => [1,3,4,5,2,6,7] => 1
[6,7,1,3,5,2,4] => [1,3,5,2,4,6,7] => 1
[6,7,1,3,5,4,2] => [1,3,5,2,4,6,7] => 1
[6,7,1,4,2,3,5] => [1,4,2,3,5,6,7] => 1
[6,7,1,4,2,5,3] => [1,4,2,5,3,6,7] => 1
[6,7,1,4,3,2,5] => [1,4,2,5,3,6,7] => 1
[6,7,1,4,3,5,2] => [1,4,2,3,5,6,7] => 1
[6,7,1,4,5,2,3] => [1,4,5,2,3,6,7] => 1
[6,7,1,4,5,3,2] => [1,4,5,2,3,6,7] => 1
[6,7,2,1,3,4,5] => [1,3,4,5,2,6,7] => 1
[6,7,2,1,3,5,4] => [1,3,5,2,4,6,7] => 1
[6,7,2,1,4,3,5] => [1,4,2,3,5,6,7] => 1
[6,7,2,1,4,5,3] => [1,4,5,2,3,6,7] => 1
[6,7,2,3,1,4,5] => [1,4,5,2,3,6,7] => 1
[6,7,2,3,4,5,1] => [1,2,3,4,5,6,7] => 1
[6,7,2,3,5,1,4] => [1,4,2,3,5,6,7] => 1
[6,7,2,3,5,4,1] => [1,2,3,5,4,6,7] => 1
[6,7,2,4,1,3,5] => [1,3,5,2,4,6,7] => 1
[6,7,2,4,3,5,1] => [1,2,4,3,5,6,7] => 1
[6,7,2,4,5,1,3] => [1,3,2,4,5,6,7] => 1
[6,7,2,4,5,3,1] => [1,2,4,5,3,6,7] => 1
[6,7,2,5,1,3,4] => [1,3,4,2,5,6,7] => 1
[6,7,2,5,1,4,3] => [1,4,2,5,3,6,7] => 1
[6,7,2,5,3,1,4] => [1,4,2,5,3,6,7] => 1
[6,7,2,5,3,4,1] => [1,2,5,3,4,6,7] => 1
[6,7,2,5,4,1,3] => [1,3,2,5,4,6,7] => 1
[6,7,2,5,4,3,1] => [1,2,5,3,4,6,7] => 1
[6,7,3,1,2,4,5] => [1,2,4,5,3,6,7] => 1
[6,7,3,1,2,5,4] => [1,2,5,3,4,6,7] => 1
[6,7,3,1,4,2,5] => [1,4,2,5,3,6,7] => 1
[6,7,3,1,4,5,2] => [1,4,5,2,3,6,7] => 1
[6,7,3,2,1,4,5] => [1,4,5,2,3,6,7] => 1
[6,7,3,2,4,5,1] => [1,2,4,5,3,6,7] => 1
[6,7,3,2,5,1,4] => [1,4,2,5,3,6,7] => 1
[6,7,3,2,5,4,1] => [1,2,5,3,4,6,7] => 1
[6,7,3,4,1,2,5] => [1,2,5,3,4,6,7] => 1
[6,7,3,4,2,5,1] => [1,2,5,3,4,6,7] => 1
[6,7,3,4,5,1,2] => [1,2,3,4,5,6,7] => 1
[6,7,3,4,5,2,1] => [1,2,3,4,5,6,7] => 1
[6,7,3,5,1,2,4] => [1,2,4,3,5,6,7] => 1
[6,7,3,5,1,4,2] => [1,4,2,3,5,6,7] => 1
[6,7,3,5,2,1,4] => [1,4,2,3,5,6,7] => 1
[6,7,3,5,2,4,1] => [1,2,4,3,5,6,7] => 1
[6,7,3,5,4,1,2] => [1,2,3,5,4,6,7] => 1
[6,7,3,5,4,2,1] => [1,2,3,5,4,6,7] => 1
[6,7,4,1,2,3,5] => [1,2,3,5,4,6,7] => 1
[6,7,4,1,2,5,3] => [1,2,5,3,4,6,7] => 1
[6,7,4,1,3,2,5] => [1,3,2,5,4,6,7] => 1
[6,7,4,1,3,5,2] => [1,3,5,2,4,6,7] => 1
[6,7,4,2,1,3,5] => [1,3,5,2,4,6,7] => 1
[6,7,4,2,3,5,1] => [1,2,3,5,4,6,7] => 1
[6,7,4,2,5,1,3] => [1,3,2,5,4,6,7] => 1
[6,7,4,2,5,3,1] => [1,2,5,3,4,6,7] => 1
[6,7,4,3,1,2,5] => [1,2,5,3,4,6,7] => 1
[6,7,4,3,2,5,1] => [1,2,5,3,4,6,7] => 1
[6,7,4,3,5,1,2] => [1,2,3,5,4,6,7] => 1
[6,7,4,3,5,2,1] => [1,2,3,5,4,6,7] => 1
[6,7,4,5,1,2,3] => [1,2,3,4,5,6,7] => 1
[6,7,4,5,1,3,2] => [1,3,2,4,5,6,7] => 1
[6,7,4,5,2,1,3] => [1,3,2,4,5,6,7] => 1
[6,7,4,5,2,3,1] => [1,2,3,4,5,6,7] => 1
[6,7,4,5,3,1,2] => [1,2,3,4,5,6,7] => 1
[6,7,4,5,3,2,1] => [1,2,3,4,5,6,7] => 1
[6,7,5,1,2,3,4] => [1,2,3,4,5,6,7] => 1
[6,7,5,1,2,4,3] => [1,2,4,3,5,6,7] => 1
[6,7,5,1,3,2,4] => [1,3,2,4,5,6,7] => 1
[6,7,5,1,3,4,2] => [1,3,4,2,5,6,7] => 1
[6,7,5,1,4,2,3] => [1,4,2,3,5,6,7] => 1
[6,7,5,1,4,3,2] => [1,4,2,3,5,6,7] => 1
[6,7,5,2,1,3,4] => [1,3,4,2,5,6,7] => 1
[6,7,5,2,1,4,3] => [1,4,2,3,5,6,7] => 1
[6,7,5,2,3,1,4] => [1,4,2,3,5,6,7] => 1
[6,7,5,2,3,4,1] => [1,2,3,4,5,6,7] => 1
[6,7,5,2,4,1,3] => [1,3,2,4,5,6,7] => 1
[6,7,5,2,4,3,1] => [1,2,4,3,5,6,7] => 1
[6,7,5,3,1,2,4] => [1,2,4,3,5,6,7] => 1
[6,7,5,3,1,4,2] => [1,4,2,3,5,6,7] => 1
[6,7,5,3,2,1,4] => [1,4,2,3,5,6,7] => 1
[6,7,5,3,2,4,1] => [1,2,4,3,5,6,7] => 1
[6,7,5,3,4,1,2] => [1,2,3,4,5,6,7] => 1
[6,7,5,3,4,2,1] => [1,2,3,4,5,6,7] => 1
[6,7,5,4,1,2,3] => [1,2,3,4,5,6,7] => 1
[6,7,5,4,1,3,2] => [1,3,2,4,5,6,7] => 1
[6,7,5,4,2,1,3] => [1,3,2,4,5,6,7] => 1
[6,7,5,4,2,3,1] => [1,2,3,4,5,6,7] => 1
[6,7,5,4,3,1,2] => [1,2,3,4,5,6,7] => 1
[6,7,5,4,3,2,1] => [1,2,3,4,5,6,7] => 1
[7,1,2,3,4,5,6] => [1,2,3,4,5,6,7] => 1
[7,1,2,3,4,6,5] => [1,2,3,4,6,5,7] => 1
[7,1,2,3,5,4,6] => [1,2,3,5,4,6,7] => 1
[7,1,2,3,5,6,4] => [1,2,3,5,6,4,7] => 1
[7,1,2,3,6,4,5] => [1,2,3,6,4,5,7] => 1
[7,1,2,3,6,5,4] => [1,2,3,6,4,5,7] => 1
[7,1,2,4,3,5,6] => [1,2,4,3,5,6,7] => 1
[7,1,2,4,3,6,5] => [1,2,4,3,6,5,7] => 1
[7,1,2,4,5,3,6] => [1,2,4,5,3,6,7] => 1
[7,1,2,4,5,6,3] => [1,2,4,5,6,3,7] => 1
[7,1,2,4,6,3,5] => [1,2,4,6,3,5,7] => 1
[7,1,2,4,6,5,3] => [1,2,4,6,3,5,7] => 1
[7,1,2,5,3,4,6] => [1,2,5,3,4,6,7] => 1
[7,1,2,5,3,6,4] => [1,2,5,3,6,4,7] => 1
[7,1,2,5,4,3,6] => [1,2,5,3,6,4,7] => 1
[7,1,2,5,4,6,3] => [1,2,5,3,4,6,7] => 1
[7,1,2,5,6,3,4] => [1,2,5,6,3,4,7] => 1
[7,1,2,5,6,4,3] => [1,2,5,6,3,4,7] => 1
[7,1,2,6,3,4,5] => [1,2,6,3,4,5,7] => 1
[7,1,2,6,3,5,4] => [1,2,6,3,5,4,7] => 1
[7,1,2,6,4,3,5] => [1,2,6,3,5,4,7] => 1
[7,1,2,6,4,5,3] => [1,2,6,3,4,5,7] => 1
[7,1,2,6,5,3,4] => [1,2,6,3,4,5,7] => 1
[7,1,2,6,5,4,3] => [1,2,6,3,4,5,7] => 1
[7,1,3,2,4,5,6] => [1,3,2,4,5,6,7] => 1
[7,1,3,2,4,6,5] => [1,3,2,4,6,5,7] => 1
[7,1,3,2,5,4,6] => [1,3,2,5,4,6,7] => 1
[7,1,3,2,5,6,4] => [1,3,2,5,6,4,7] => 1
[7,1,3,2,6,4,5] => [1,3,2,6,4,5,7] => 1
[7,1,3,2,6,5,4] => [1,3,2,6,4,5,7] => 1
[7,1,3,4,2,5,6] => [1,3,4,2,5,6,7] => 1
[7,1,3,4,2,6,5] => [1,3,4,2,6,5,7] => 1
[7,1,3,4,5,2,6] => [1,3,4,5,2,6,7] => 1
[7,1,3,4,5,6,2] => [1,3,4,5,6,2,7] => 1
[7,1,3,4,6,2,5] => [1,3,4,6,2,5,7] => 1
[7,1,3,4,6,5,2] => [1,3,4,6,2,5,7] => 1
[7,1,3,5,2,4,6] => [1,3,5,2,4,6,7] => 1
[7,1,3,5,2,6,4] => [1,3,5,2,6,4,7] => 1
[7,1,3,5,4,2,6] => [1,3,5,2,6,4,7] => 1
[7,1,3,5,4,6,2] => [1,3,5,2,4,6,7] => 1
[7,1,3,5,6,2,4] => [1,3,5,6,2,4,7] => 1
[7,1,3,5,6,4,2] => [1,3,5,6,2,4,7] => 1
[7,1,3,6,2,4,5] => [1,3,6,2,4,5,7] => 1
[7,1,3,6,2,5,4] => [1,3,6,2,5,4,7] => 1
[7,1,3,6,4,2,5] => [1,3,6,2,5,4,7] => 1
[7,1,3,6,4,5,2] => [1,3,6,2,4,5,7] => 1
[7,1,3,6,5,2,4] => [1,3,6,2,4,5,7] => 1
[7,1,3,6,5,4,2] => [1,3,6,2,4,5,7] => 1
[7,1,4,2,3,5,6] => [1,4,2,3,5,6,7] => 1
[7,1,4,2,3,6,5] => [1,4,2,3,6,5,7] => 1
[7,1,4,2,5,3,6] => [1,4,2,5,3,6,7] => 1
[7,1,4,2,5,6,3] => [1,4,2,5,6,3,7] => 1
[7,1,4,2,6,3,5] => [1,4,2,6,3,5,7] => 1
[7,1,4,2,6,5,3] => [1,4,2,6,3,5,7] => 1
[7,1,4,3,2,5,6] => [1,4,2,5,6,3,7] => 1
[7,1,4,3,2,6,5] => [1,4,2,6,3,5,7] => 1
[7,1,4,3,5,2,6] => [1,4,2,6,3,5,7] => 1
[7,1,4,3,5,6,2] => [1,4,2,3,5,6,7] => 1
[7,1,4,3,6,2,5] => [1,4,2,5,3,6,7] => 1
[7,1,4,3,6,5,2] => [1,4,2,3,6,5,7] => 1
[7,1,4,5,2,3,6] => [1,4,5,2,3,6,7] => 1
[7,1,4,5,2,6,3] => [1,4,5,2,6,3,7] => 1
[7,1,4,5,3,2,6] => [1,4,5,2,6,3,7] => 1
[7,1,4,5,3,6,2] => [1,4,5,2,3,6,7] => 1
[7,1,4,5,6,2,3] => [1,4,5,6,2,3,7] => 1
[7,1,4,5,6,3,2] => [1,4,5,6,2,3,7] => 1
[7,1,4,6,2,3,5] => [1,4,6,2,3,5,7] => 1
[7,1,4,6,2,5,3] => [1,4,6,2,5,3,7] => 1
[7,1,4,6,3,2,5] => [1,4,6,2,5,3,7] => 1
[7,1,4,6,3,5,2] => [1,4,6,2,3,5,7] => 1
[7,1,4,6,5,2,3] => [1,4,6,2,3,5,7] => 1
[7,1,4,6,5,3,2] => [1,4,6,2,3,5,7] => 1
[7,2,1,3,4,5,6] => [1,3,4,5,6,2,7] => 1
[7,2,1,3,4,6,5] => [1,3,4,6,2,5,7] => 1
[7,2,1,3,5,4,6] => [1,3,5,2,4,6,7] => 1
[7,2,1,3,5,6,4] => [1,3,5,6,2,4,7] => 1
[7,2,1,3,6,4,5] => [1,3,6,2,4,5,7] => 1
[7,2,1,3,6,5,4] => [1,3,6,2,4,5,7] => 1
[7,2,1,4,3,5,6] => [1,4,2,3,5,6,7] => 1
[7,2,1,4,3,6,5] => [1,4,2,3,6,5,7] => 1
[7,2,1,4,5,3,6] => [1,4,5,2,3,6,7] => 1
[7,2,1,4,5,6,3] => [1,4,5,6,2,3,7] => 1
[7,2,1,4,6,3,5] => [1,4,6,2,3,5,7] => 1
[7,2,1,4,6,5,3] => [1,4,6,2,3,5,7] => 1
[7,2,3,1,4,5,6] => [1,4,5,6,2,3,7] => 1
[7,2,3,1,4,6,5] => [1,4,6,2,3,5,7] => 1
[7,2,3,4,5,6,1] => [1,2,3,4,5,6,7] => 1
[7,2,3,4,6,5,1] => [1,2,3,4,6,5,7] => 1
[7,2,3,5,1,4,6] => [1,4,6,2,3,5,7] => 1
[7,2,3,5,4,6,1] => [1,2,3,5,4,6,7] => 1
[7,2,3,5,6,1,4] => [1,4,2,3,5,6,7] => 1
[7,2,3,5,6,4,1] => [1,2,3,5,6,4,7] => 1
[7,2,3,6,1,4,5] => [1,4,5,2,3,6,7] => 1
[7,2,3,6,4,5,1] => [1,2,3,6,4,5,7] => 1
[7,2,3,6,5,1,4] => [1,4,2,3,6,5,7] => 1
[7,2,3,6,5,4,1] => [1,2,3,6,4,5,7] => 1
[7,2,4,1,3,5,6] => [1,3,5,6,2,4,7] => 1
[7,2,4,1,3,6,5] => [1,3,6,2,4,5,7] => 1
[7,2,4,3,5,6,1] => [1,2,4,3,5,6,7] => 1
[7,2,4,3,6,5,1] => [1,2,4,3,6,5,7] => 1
[7,2,4,5,1,3,6] => [1,3,6,2,4,5,7] => 1
[7,2,4,5,3,6,1] => [1,2,4,5,3,6,7] => 1
[7,2,4,5,6,1,3] => [1,3,2,4,5,6,7] => 1
[7,2,4,5,6,3,1] => [1,2,4,5,6,3,7] => 1
[7,2,4,6,1,3,5] => [1,3,5,2,4,6,7] => 1
[7,2,4,6,3,5,1] => [1,2,4,6,3,5,7] => 1
[7,2,4,6,5,1,3] => [1,3,2,4,6,5,7] => 1
[7,2,4,6,5,3,1] => [1,2,4,6,3,5,7] => 1
[7,2,5,1,3,4,6] => [1,3,4,6,2,5,7] => 1
[7,2,5,1,3,6,4] => [1,3,6,2,5,4,7] => 1
[7,2,5,1,4,3,6] => [1,4,2,5,3,6,7] => 1
[7,2,5,1,4,6,3] => [1,4,6,2,5,3,7] => 1
[7,2,5,3,1,4,6] => [1,4,6,2,5,3,7] => 1
[7,2,5,3,4,6,1] => [1,2,5,3,4,6,7] => 1
[7,2,5,3,6,1,4] => [1,4,2,5,3,6,7] => 1
[7,2,5,3,6,4,1] => [1,2,5,3,6,4,7] => 1
[7,2,5,4,1,3,6] => [1,3,6,2,5,4,7] => 1
[7,2,5,4,3,6,1] => [1,2,5,3,6,4,7] => 1
[7,2,5,4,6,1,3] => [1,3,2,5,4,6,7] => 1
[7,2,5,4,6,3,1] => [1,2,5,3,4,6,7] => 1
[7,2,5,6,1,3,4] => [1,3,4,2,5,6,7] => 1
[7,2,5,6,1,4,3] => [1,4,2,5,6,3,7] => 1
[7,2,5,6,3,1,4] => [1,4,2,5,6,3,7] => 1
[7,2,5,6,3,4,1] => [1,2,5,6,3,4,7] => 1
[7,2,5,6,4,1,3] => [1,3,2,5,6,4,7] => 1
[7,2,5,6,4,3,1] => [1,2,5,6,3,4,7] => 1
[7,2,6,1,3,4,5] => [1,3,4,5,2,6,7] => 1
[7,2,6,1,3,5,4] => [1,3,5,2,6,4,7] => 1
[7,2,6,1,4,3,5] => [1,4,2,6,3,5,7] => 1
[7,2,6,1,4,5,3] => [1,4,5,2,6,3,7] => 1
[7,2,6,3,1,4,5] => [1,4,5,2,6,3,7] => 1
[7,2,6,3,4,5,1] => [1,2,6,3,4,5,7] => 1
[7,2,6,3,5,1,4] => [1,4,2,6,3,5,7] => 1
[7,2,6,3,5,4,1] => [1,2,6,3,5,4,7] => 1
[7,2,6,4,1,3,5] => [1,3,5,2,6,4,7] => 1
[7,2,6,4,3,5,1] => [1,2,6,3,5,4,7] => 1
[7,2,6,4,5,1,3] => [1,3,2,6,4,5,7] => 1
[7,2,6,4,5,3,1] => [1,2,6,3,4,5,7] => 1
[7,2,6,5,1,3,4] => [1,3,4,2,6,5,7] => 1
[7,2,6,5,1,4,3] => [1,4,2,6,3,5,7] => 1
[7,2,6,5,3,1,4] => [1,4,2,6,3,5,7] => 1
[7,2,6,5,3,4,1] => [1,2,6,3,4,5,7] => 1
[7,2,6,5,4,1,3] => [1,3,2,6,4,5,7] => 1
[7,2,6,5,4,3,1] => [1,2,6,3,4,5,7] => 1
[7,3,1,2,4,5,6] => [1,2,4,5,6,3,7] => 1
[7,3,1,2,4,6,5] => [1,2,4,6,3,5,7] => 1
[7,3,1,2,5,4,6] => [1,2,5,3,4,6,7] => 1
[7,3,1,2,5,6,4] => [1,2,5,6,3,4,7] => 1
[7,3,1,2,6,4,5] => [1,2,6,3,4,5,7] => 1
[7,3,1,2,6,5,4] => [1,2,6,3,4,5,7] => 1
[7,3,1,4,2,5,6] => [1,4,2,5,6,3,7] => 1
[7,3,1,4,2,6,5] => [1,4,2,6,3,5,7] => 1
[7,3,1,4,5,2,6] => [1,4,5,2,6,3,7] => 1
[7,3,1,4,5,6,2] => [1,4,5,6,2,3,7] => 1
[7,3,1,4,6,2,5] => [1,4,6,2,5,3,7] => 1
[7,3,1,4,6,5,2] => [1,4,6,2,3,5,7] => 1
[7,3,2,1,4,5,6] => [1,4,5,6,2,3,7] => 1
[7,3,2,1,4,6,5] => [1,4,6,2,3,5,7] => 1
[7,3,2,4,5,6,1] => [1,2,4,5,6,3,7] => 1
[7,3,2,4,6,5,1] => [1,2,4,6,3,5,7] => 1
[7,3,2,5,1,4,6] => [1,4,6,2,5,3,7] => 1
[7,3,2,5,4,6,1] => [1,2,5,3,4,6,7] => 1
[7,3,2,5,6,1,4] => [1,4,2,5,6,3,7] => 1
[7,3,2,5,6,4,1] => [1,2,5,6,3,4,7] => 1
[7,3,2,6,1,4,5] => [1,4,5,2,6,3,7] => 1
[7,3,2,6,4,5,1] => [1,2,6,3,4,5,7] => 1
[7,3,2,6,5,1,4] => [1,4,2,6,3,5,7] => 1
[7,3,2,6,5,4,1] => [1,2,6,3,4,5,7] => 1
[7,3,4,1,2,5,6] => [1,2,5,6,3,4,7] => 1
[7,3,4,1,2,6,5] => [1,2,6,3,4,5,7] => 1
[7,3,4,2,5,6,1] => [1,2,5,6,3,4,7] => 1
[7,3,4,2,6,5,1] => [1,2,6,3,4,5,7] => 1
[7,3,4,5,1,2,6] => [1,2,6,3,4,5,7] => 1
[7,3,4,5,2,6,1] => [1,2,6,3,4,5,7] => 1
[7,3,4,5,6,1,2] => [1,2,3,4,5,6,7] => 1
[7,3,4,5,6,2,1] => [1,2,3,4,5,6,7] => 1
[7,3,4,6,1,2,5] => [1,2,5,3,4,6,7] => 1
[7,3,4,6,2,5,1] => [1,2,5,3,4,6,7] => 1
[7,3,4,6,5,1,2] => [1,2,3,4,6,5,7] => 1
[7,3,4,6,5,2,1] => [1,2,3,4,6,5,7] => 1
[7,3,5,1,2,4,6] => [1,2,4,6,3,5,7] => 1
[7,3,5,1,2,6,4] => [1,2,6,3,5,4,7] => 1
[7,3,5,1,4,2,6] => [1,4,2,6,3,5,7] => 1
[7,3,5,1,4,6,2] => [1,4,6,2,3,5,7] => 1
[7,3,5,2,1,4,6] => [1,4,6,2,3,5,7] => 1
[7,3,5,2,4,6,1] => [1,2,4,6,3,5,7] => 1
[7,3,5,2,6,1,4] => [1,4,2,6,3,5,7] => 1
[7,3,5,2,6,4,1] => [1,2,6,3,5,4,7] => 1
[7,3,5,4,1,2,6] => [1,2,6,3,5,4,7] => 1
[7,3,5,4,2,6,1] => [1,2,6,3,5,4,7] => 1
[7,3,5,4,6,1,2] => [1,2,3,5,4,6,7] => 1
[7,3,5,4,6,2,1] => [1,2,3,5,4,6,7] => 1
[7,3,5,6,1,2,4] => [1,2,4,3,5,6,7] => 1
[7,3,5,6,1,4,2] => [1,4,2,3,5,6,7] => 1
[7,3,5,6,2,1,4] => [1,4,2,3,5,6,7] => 1
[7,3,5,6,2,4,1] => [1,2,4,3,5,6,7] => 1
[7,3,5,6,4,1,2] => [1,2,3,5,6,4,7] => 1
[7,3,5,6,4,2,1] => [1,2,3,5,6,4,7] => 1
[7,3,6,1,2,4,5] => [1,2,4,5,3,6,7] => 1
[7,3,6,1,2,5,4] => [1,2,5,3,6,4,7] => 1
[7,3,6,1,4,2,5] => [1,4,2,5,3,6,7] => 1
[7,3,6,1,4,5,2] => [1,4,5,2,3,6,7] => 1
[7,3,6,2,1,4,5] => [1,4,5,2,3,6,7] => 1
[7,3,6,2,4,5,1] => [1,2,4,5,3,6,7] => 1
[7,3,6,2,5,1,4] => [1,4,2,5,3,6,7] => 1
[7,3,6,2,5,4,1] => [1,2,5,3,6,4,7] => 1
[7,3,6,4,1,2,5] => [1,2,5,3,6,4,7] => 1
[7,3,6,4,2,5,1] => [1,2,5,3,6,4,7] => 1
[7,3,6,4,5,1,2] => [1,2,3,6,4,5,7] => 1
[7,3,6,4,5,2,1] => [1,2,3,6,4,5,7] => 1
[7,3,6,5,1,2,4] => [1,2,4,3,6,5,7] => 1
[7,3,6,5,1,4,2] => [1,4,2,3,6,5,7] => 1
[7,3,6,5,2,1,4] => [1,4,2,3,6,5,7] => 1
[7,3,6,5,2,4,1] => [1,2,4,3,6,5,7] => 1
[7,3,6,5,4,1,2] => [1,2,3,6,4,5,7] => 1
[7,3,6,5,4,2,1] => [1,2,3,6,4,5,7] => 1
[7,4,1,2,3,5,6] => [1,2,3,5,6,4,7] => 1
[7,4,1,2,3,6,5] => [1,2,3,6,4,5,7] => 1
[7,4,1,2,5,3,6] => [1,2,5,3,6,4,7] => 1
[7,4,1,2,5,6,3] => [1,2,5,6,3,4,7] => 1
[7,4,1,2,6,3,5] => [1,2,6,3,5,4,7] => 1
[7,4,1,2,6,5,3] => [1,2,6,3,4,5,7] => 1
[7,4,1,3,2,5,6] => [1,3,2,5,6,4,7] => 1
[7,4,1,3,2,6,5] => [1,3,2,6,4,5,7] => 1
[7,4,1,3,5,2,6] => [1,3,5,2,6,4,7] => 1
[7,4,1,3,5,6,2] => [1,3,5,6,2,4,7] => 1
[7,4,1,3,6,2,5] => [1,3,6,2,5,4,7] => 1
[7,4,1,3,6,5,2] => [1,3,6,2,4,5,7] => 1
[7,4,2,1,3,5,6] => [1,3,5,6,2,4,7] => 1
[7,4,2,1,3,6,5] => [1,3,6,2,4,5,7] => 1
[7,4,2,3,5,6,1] => [1,2,3,5,6,4,7] => 1
[7,4,2,3,6,5,1] => [1,2,3,6,4,5,7] => 1
[7,4,2,5,1,3,6] => [1,3,6,2,5,4,7] => 1
[7,4,2,5,3,6,1] => [1,2,5,3,6,4,7] => 1
[7,4,2,5,6,1,3] => [1,3,2,5,6,4,7] => 1
[7,4,2,5,6,3,1] => [1,2,5,6,3,4,7] => 1
[7,4,2,6,1,3,5] => [1,3,5,2,6,4,7] => 1
[7,4,2,6,3,5,1] => [1,2,6,3,5,4,7] => 1
[7,4,2,6,5,1,3] => [1,3,2,6,4,5,7] => 1
[7,4,2,6,5,3,1] => [1,2,6,3,4,5,7] => 1
[7,4,3,1,2,5,6] => [1,2,5,6,3,4,7] => 1
[7,4,3,1,2,6,5] => [1,2,6,3,4,5,7] => 1
[7,4,3,2,5,6,1] => [1,2,5,6,3,4,7] => 1
[7,4,3,2,6,5,1] => [1,2,6,3,4,5,7] => 1
[7,4,3,5,1,2,6] => [1,2,6,3,5,4,7] => 1
[7,4,3,5,2,6,1] => [1,2,6,3,5,4,7] => 1
[7,4,3,5,6,1,2] => [1,2,3,5,6,4,7] => 1
[7,4,3,5,6,2,1] => [1,2,3,5,6,4,7] => 1
[7,4,3,6,1,2,5] => [1,2,5,3,6,4,7] => 1
[7,4,3,6,2,5,1] => [1,2,5,3,6,4,7] => 1
[7,4,3,6,5,1,2] => [1,2,3,6,4,5,7] => 1
[7,4,3,6,5,2,1] => [1,2,3,6,4,5,7] => 1
[7,4,5,1,2,3,6] => [1,2,3,6,4,5,7] => 1
[7,4,5,1,2,6,3] => [1,2,6,3,4,5,7] => 1
[7,4,5,1,3,2,6] => [1,3,2,6,4,5,7] => 1
[7,4,5,1,3,6,2] => [1,3,6,2,4,5,7] => 1
[7,4,5,2,1,3,6] => [1,3,6,2,4,5,7] => 1
[7,4,5,2,3,6,1] => [1,2,3,6,4,5,7] => 1
[7,4,5,2,6,1,3] => [1,3,2,6,4,5,7] => 1
[7,4,5,2,6,3,1] => [1,2,6,3,4,5,7] => 1
[7,4,5,3,1,2,6] => [1,2,6,3,4,5,7] => 1
[7,4,5,3,2,6,1] => [1,2,6,3,4,5,7] => 1
[7,4,5,3,6,1,2] => [1,2,3,6,4,5,7] => 1
[7,4,5,3,6,2,1] => [1,2,3,6,4,5,7] => 1
[7,4,5,6,1,2,3] => [1,2,3,4,5,6,7] => 1
[7,4,5,6,1,3,2] => [1,3,2,4,5,6,7] => 1
[7,4,5,6,2,1,3] => [1,3,2,4,5,6,7] => 1
[7,4,5,6,2,3,1] => [1,2,3,4,5,6,7] => 1
[7,4,5,6,3,1,2] => [1,2,3,4,5,6,7] => 1
[7,4,5,6,3,2,1] => [1,2,3,4,5,6,7] => 1
[7,4,6,1,2,3,5] => [1,2,3,5,4,6,7] => 1
[7,4,6,1,2,5,3] => [1,2,5,3,4,6,7] => 1
[7,4,6,1,3,2,5] => [1,3,2,5,4,6,7] => 1
[7,4,6,1,3,5,2] => [1,3,5,2,4,6,7] => 1
[7,4,6,2,1,3,5] => [1,3,5,2,4,6,7] => 1
[7,4,6,2,3,5,1] => [1,2,3,5,4,6,7] => 1
[7,4,6,2,5,1,3] => [1,3,2,5,4,6,7] => 1
[7,4,6,2,5,3,1] => [1,2,5,3,4,6,7] => 1
[7,4,6,3,1,2,5] => [1,2,5,3,4,6,7] => 1
[7,4,6,3,2,5,1] => [1,2,5,3,4,6,7] => 1
[7,4,6,3,5,1,2] => [1,2,3,5,4,6,7] => 1
[7,4,6,3,5,2,1] => [1,2,3,5,4,6,7] => 1
[7,4,6,5,1,2,3] => [1,2,3,4,6,5,7] => 1
[7,4,6,5,1,3,2] => [1,3,2,4,6,5,7] => 1
[7,4,6,5,2,1,3] => [1,3,2,4,6,5,7] => 1
[7,4,6,5,2,3,1] => [1,2,3,4,6,5,7] => 1
[7,4,6,5,3,1,2] => [1,2,3,4,6,5,7] => 1
[7,4,6,5,3,2,1] => [1,2,3,4,6,5,7] => 1
[7,5,1,2,3,4,6] => [1,2,3,4,6,5,7] => 1
[7,5,1,2,3,6,4] => [1,2,3,6,4,5,7] => 1
[7,5,1,2,4,3,6] => [1,2,4,3,6,5,7] => 1
[7,5,1,2,4,6,3] => [1,2,4,6,3,5,7] => 1
[7,5,1,2,6,3,4] => [1,2,6,3,4,5,7] => 1
[7,5,1,2,6,4,3] => [1,2,6,3,4,5,7] => 1
[7,5,1,3,2,4,6] => [1,3,2,4,6,5,7] => 1
[7,5,1,3,2,6,4] => [1,3,2,6,4,5,7] => 1
[7,5,1,3,4,2,6] => [1,3,4,2,6,5,7] => 1
[7,5,1,3,4,6,2] => [1,3,4,6,2,5,7] => 1
[7,5,1,3,6,2,4] => [1,3,6,2,4,5,7] => 1
[7,5,1,3,6,4,2] => [1,3,6,2,4,5,7] => 1
[7,5,1,4,2,3,6] => [1,4,2,3,6,5,7] => 1
[7,5,1,4,2,6,3] => [1,4,2,6,3,5,7] => 1
[7,5,1,4,3,2,6] => [1,4,2,6,3,5,7] => 1
[7,5,1,4,3,6,2] => [1,4,2,3,6,5,7] => 1
[7,5,1,4,6,2,3] => [1,4,6,2,3,5,7] => 1
[7,5,1,4,6,3,2] => [1,4,6,2,3,5,7] => 1
[7,5,2,1,3,4,6] => [1,3,4,6,2,5,7] => 1
[7,5,2,1,3,6,4] => [1,3,6,2,4,5,7] => 1
[7,5,2,1,4,3,6] => [1,4,2,3,6,5,7] => 1
[7,5,2,1,4,6,3] => [1,4,6,2,3,5,7] => 1
[7,5,2,3,1,4,6] => [1,4,6,2,3,5,7] => 1
[7,5,2,3,4,6,1] => [1,2,3,4,6,5,7] => 1
[7,5,2,3,6,1,4] => [1,4,2,3,6,5,7] => 1
[7,5,2,3,6,4,1] => [1,2,3,6,4,5,7] => 1
[7,5,2,4,1,3,6] => [1,3,6,2,4,5,7] => 1
[7,5,2,4,3,6,1] => [1,2,4,3,6,5,7] => 1
[7,5,2,4,6,1,3] => [1,3,2,4,6,5,7] => 1
[7,5,2,4,6,3,1] => [1,2,4,6,3,5,7] => 1
[7,5,2,6,1,3,4] => [1,3,4,2,6,5,7] => 1
[7,5,2,6,1,4,3] => [1,4,2,6,3,5,7] => 1
[7,5,2,6,3,1,4] => [1,4,2,6,3,5,7] => 1
[7,5,2,6,3,4,1] => [1,2,6,3,4,5,7] => 1
[7,5,2,6,4,1,3] => [1,3,2,6,4,5,7] => 1
[7,5,2,6,4,3,1] => [1,2,6,3,4,5,7] => 1
[7,5,3,1,2,4,6] => [1,2,4,6,3,5,7] => 1
[7,5,3,1,2,6,4] => [1,2,6,3,4,5,7] => 1
[7,5,3,1,4,2,6] => [1,4,2,6,3,5,7] => 1
[7,5,3,1,4,6,2] => [1,4,6,2,3,5,7] => 1
[7,5,3,2,1,4,6] => [1,4,6,2,3,5,7] => 1
[7,5,3,2,4,6,1] => [1,2,4,6,3,5,7] => 1
[7,5,3,2,6,1,4] => [1,4,2,6,3,5,7] => 1
[7,5,3,2,6,4,1] => [1,2,6,3,4,5,7] => 1
[7,5,3,4,1,2,6] => [1,2,6,3,4,5,7] => 1
[7,5,3,4,2,6,1] => [1,2,6,3,4,5,7] => 1
[7,5,3,4,6,1,2] => [1,2,3,4,6,5,7] => 1
[7,5,3,4,6,2,1] => [1,2,3,4,6,5,7] => 1
[7,5,3,6,1,2,4] => [1,2,4,3,6,5,7] => 1
[7,5,3,6,1,4,2] => [1,4,2,3,6,5,7] => 1
[7,5,3,6,2,1,4] => [1,4,2,3,6,5,7] => 1
[7,5,3,6,2,4,1] => [1,2,4,3,6,5,7] => 1
[7,5,3,6,4,1,2] => [1,2,3,6,4,5,7] => 1
[7,5,3,6,4,2,1] => [1,2,3,6,4,5,7] => 1
[7,5,4,1,2,3,6] => [1,2,3,6,4,5,7] => 1
[7,5,4,1,2,6,3] => [1,2,6,3,4,5,7] => 1
[7,5,4,1,3,2,6] => [1,3,2,6,4,5,7] => 1
[7,5,4,1,3,6,2] => [1,3,6,2,4,5,7] => 1
[7,5,4,2,1,3,6] => [1,3,6,2,4,5,7] => 1
[7,5,4,2,3,6,1] => [1,2,3,6,4,5,7] => 1
[7,5,4,2,6,1,3] => [1,3,2,6,4,5,7] => 1
[7,5,4,2,6,3,1] => [1,2,6,3,4,5,7] => 1
[7,5,4,3,1,2,6] => [1,2,6,3,4,5,7] => 1
[7,5,4,3,2,6,1] => [1,2,6,3,4,5,7] => 1
[7,5,4,3,6,1,2] => [1,2,3,6,4,5,7] => 1
[7,5,4,3,6,2,1] => [1,2,3,6,4,5,7] => 1
[7,5,4,6,1,2,3] => [1,2,3,4,6,5,7] => 1
[7,5,4,6,1,3,2] => [1,3,2,4,6,5,7] => 1
[7,5,4,6,2,1,3] => [1,3,2,4,6,5,7] => 1
[7,5,4,6,2,3,1] => [1,2,3,4,6,5,7] => 1
[7,5,4,6,3,1,2] => [1,2,3,4,6,5,7] => 1
[7,5,4,6,3,2,1] => [1,2,3,4,6,5,7] => 1
[7,5,6,1,2,3,4] => [1,2,3,4,5,6,7] => 1
[7,5,6,1,2,4,3] => [1,2,4,3,5,6,7] => 1
[7,5,6,1,3,2,4] => [1,3,2,4,5,6,7] => 1
[7,5,6,1,3,4,2] => [1,3,4,2,5,6,7] => 1
[7,5,6,1,4,2,3] => [1,4,2,3,5,6,7] => 1
[7,5,6,1,4,3,2] => [1,4,2,3,5,6,7] => 1
[7,5,6,2,1,3,4] => [1,3,4,2,5,6,7] => 1
[7,5,6,2,1,4,3] => [1,4,2,3,5,6,7] => 1
[7,5,6,2,3,1,4] => [1,4,2,3,5,6,7] => 1
[7,5,6,2,3,4,1] => [1,2,3,4,5,6,7] => 1
[7,5,6,2,4,1,3] => [1,3,2,4,5,6,7] => 1
[7,5,6,2,4,3,1] => [1,2,4,3,5,6,7] => 1
[7,5,6,3,1,2,4] => [1,2,4,3,5,6,7] => 1
[7,5,6,3,1,4,2] => [1,4,2,3,5,6,7] => 1
[7,5,6,3,2,1,4] => [1,4,2,3,5,6,7] => 1
[7,5,6,3,2,4,1] => [1,2,4,3,5,6,7] => 1
[7,5,6,3,4,1,2] => [1,2,3,4,5,6,7] => 1
[7,5,6,3,4,2,1] => [1,2,3,4,5,6,7] => 1
[7,5,6,4,1,2,3] => [1,2,3,4,5,6,7] => 1
[7,5,6,4,1,3,2] => [1,3,2,4,5,6,7] => 1
[7,5,6,4,2,1,3] => [1,3,2,4,5,6,7] => 1
[7,5,6,4,2,3,1] => [1,2,3,4,5,6,7] => 1
[7,5,6,4,3,1,2] => [1,2,3,4,5,6,7] => 1
[7,5,6,4,3,2,1] => [1,2,3,4,5,6,7] => 1
[7,6,1,2,3,4,5] => [1,2,3,4,5,6,7] => 1
[7,6,1,2,3,5,4] => [1,2,3,5,4,6,7] => 1
[7,6,1,2,4,3,5] => [1,2,4,3,5,6,7] => 1
[7,6,1,2,4,5,3] => [1,2,4,5,3,6,7] => 1
[7,6,1,2,5,3,4] => [1,2,5,3,4,6,7] => 1
[7,6,1,2,5,4,3] => [1,2,5,3,4,6,7] => 1
[7,6,1,3,2,4,5] => [1,3,2,4,5,6,7] => 1
[7,6,1,3,2,5,4] => [1,3,2,5,4,6,7] => 1
[7,6,1,3,4,2,5] => [1,3,4,2,5,6,7] => 1
[7,6,1,3,4,5,2] => [1,3,4,5,2,6,7] => 1
[7,6,1,3,5,2,4] => [1,3,5,2,4,6,7] => 1
[7,6,1,3,5,4,2] => [1,3,5,2,4,6,7] => 1
[7,6,1,4,2,3,5] => [1,4,2,3,5,6,7] => 1
[7,6,1,4,2,5,3] => [1,4,2,5,3,6,7] => 1
[7,6,1,4,3,2,5] => [1,4,2,5,3,6,7] => 1
[7,6,1,4,3,5,2] => [1,4,2,3,5,6,7] => 1
[7,6,1,4,5,2,3] => [1,4,5,2,3,6,7] => 1
[7,6,1,4,5,3,2] => [1,4,5,2,3,6,7] => 1
[7,6,2,1,3,4,5] => [1,3,4,5,2,6,7] => 1
[7,6,2,1,3,5,4] => [1,3,5,2,4,6,7] => 1
[7,6,2,1,4,3,5] => [1,4,2,3,5,6,7] => 1
[7,6,2,1,4,5,3] => [1,4,5,2,3,6,7] => 1
[7,6,2,3,1,4,5] => [1,4,5,2,3,6,7] => 1
[7,6,2,3,4,5,1] => [1,2,3,4,5,6,7] => 1
[7,6,2,3,5,1,4] => [1,4,2,3,5,6,7] => 1
[7,6,2,3,5,4,1] => [1,2,3,5,4,6,7] => 1
[7,6,2,4,1,3,5] => [1,3,5,2,4,6,7] => 1
[7,6,2,4,3,5,1] => [1,2,4,3,5,6,7] => 1
[7,6,2,4,5,1,3] => [1,3,2,4,5,6,7] => 1
[7,6,2,4,5,3,1] => [1,2,4,5,3,6,7] => 1
[7,6,2,5,1,3,4] => [1,3,4,2,5,6,7] => 1
[7,6,2,5,1,4,3] => [1,4,2,5,3,6,7] => 1
[7,6,2,5,3,1,4] => [1,4,2,5,3,6,7] => 1
[7,6,2,5,3,4,1] => [1,2,5,3,4,6,7] => 1
[7,6,2,5,4,1,3] => [1,3,2,5,4,6,7] => 1
[7,6,2,5,4,3,1] => [1,2,5,3,4,6,7] => 1
[7,6,3,1,2,4,5] => [1,2,4,5,3,6,7] => 1
[7,6,3,1,2,5,4] => [1,2,5,3,4,6,7] => 1
[7,6,3,1,4,2,5] => [1,4,2,5,3,6,7] => 1
[7,6,3,1,4,5,2] => [1,4,5,2,3,6,7] => 1
[7,6,3,2,1,4,5] => [1,4,5,2,3,6,7] => 1
[7,6,3,2,4,5,1] => [1,2,4,5,3,6,7] => 1
[7,6,3,2,5,1,4] => [1,4,2,5,3,6,7] => 1
[7,6,3,2,5,4,1] => [1,2,5,3,4,6,7] => 1
[7,6,3,4,1,2,5] => [1,2,5,3,4,6,7] => 1
[7,6,3,4,2,5,1] => [1,2,5,3,4,6,7] => 1
[7,6,3,4,5,1,2] => [1,2,3,4,5,6,7] => 1
[7,6,3,4,5,2,1] => [1,2,3,4,5,6,7] => 1
[7,6,3,5,1,2,4] => [1,2,4,3,5,6,7] => 1
[7,6,3,5,1,4,2] => [1,4,2,3,5,6,7] => 1
[7,6,3,5,2,1,4] => [1,4,2,3,5,6,7] => 1
[7,6,3,5,2,4,1] => [1,2,4,3,5,6,7] => 1
[7,6,3,5,4,1,2] => [1,2,3,5,4,6,7] => 1
[7,6,3,5,4,2,1] => [1,2,3,5,4,6,7] => 1
[7,6,4,1,2,3,5] => [1,2,3,5,4,6,7] => 1
[7,6,4,1,2,5,3] => [1,2,5,3,4,6,7] => 1
[7,6,4,1,3,2,5] => [1,3,2,5,4,6,7] => 1
[7,6,4,1,3,5,2] => [1,3,5,2,4,6,7] => 1
[7,6,4,2,1,3,5] => [1,3,5,2,4,6,7] => 1
[7,6,4,2,3,5,1] => [1,2,3,5,4,6,7] => 1
[7,6,4,2,5,1,3] => [1,3,2,5,4,6,7] => 1
[7,6,4,2,5,3,1] => [1,2,5,3,4,6,7] => 1
[7,6,4,3,1,2,5] => [1,2,5,3,4,6,7] => 1
[7,6,4,3,2,5,1] => [1,2,5,3,4,6,7] => 1
[7,6,4,3,5,1,2] => [1,2,3,5,4,6,7] => 1
[7,6,4,3,5,2,1] => [1,2,3,5,4,6,7] => 1
[7,6,4,5,1,2,3] => [1,2,3,4,5,6,7] => 1
[7,6,4,5,1,3,2] => [1,3,2,4,5,6,7] => 1
[7,6,4,5,2,1,3] => [1,3,2,4,5,6,7] => 1
[7,6,4,5,2,3,1] => [1,2,3,4,5,6,7] => 1
[7,6,4,5,3,1,2] => [1,2,3,4,5,6,7] => 1
[7,6,4,5,3,2,1] => [1,2,3,4,5,6,7] => 1
[7,6,5,1,2,3,4] => [1,2,3,4,5,6,7] => 1
[7,6,5,1,2,4,3] => [1,2,4,3,5,6,7] => 1
[7,6,5,1,3,2,4] => [1,3,2,4,5,6,7] => 1
[7,6,5,1,3,4,2] => [1,3,4,2,5,6,7] => 1
[7,6,5,1,4,2,3] => [1,4,2,3,5,6,7] => 1
[7,6,5,1,4,3,2] => [1,4,2,3,5,6,7] => 1
[7,6,5,2,1,3,4] => [1,3,4,2,5,6,7] => 1
[7,6,5,2,1,4,3] => [1,4,2,3,5,6,7] => 1
[7,6,5,2,3,1,4] => [1,4,2,3,5,6,7] => 1
[7,6,5,2,3,4,1] => [1,2,3,4,5,6,7] => 1
[7,6,5,2,4,1,3] => [1,3,2,4,5,6,7] => 1
[7,6,5,2,4,3,1] => [1,2,4,3,5,6,7] => 1
[7,6,5,3,1,2,4] => [1,2,4,3,5,6,7] => 1
[7,6,5,3,1,4,2] => [1,4,2,3,5,6,7] => 1
[7,6,5,3,2,1,4] => [1,4,2,3,5,6,7] => 1
[7,6,5,3,2,4,1] => [1,2,4,3,5,6,7] => 1
[7,6,5,3,4,1,2] => [1,2,3,4,5,6,7] => 1
[7,6,5,3,4,2,1] => [1,2,3,4,5,6,7] => 1
[7,6,5,4,1,2,3] => [1,2,3,4,5,6,7] => 1
[7,6,5,4,1,3,2] => [1,3,2,4,5,6,7] => 1
[7,6,5,4,2,1,3] => [1,3,2,4,5,6,7] => 1
[7,6,5,4,2,3,1] => [1,2,3,4,5,6,7] => 1
[7,6,5,4,3,1,2] => [1,2,3,4,5,6,7] => 1
[7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => 1
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Generating function
$F_{1} = q$
$F_{2} = 2\ q$
$F_{3} = 6\ q$
$F_{4} = 24\ q$
$F_{5} = 120\ q$
$F_{6} = 720\ q$
Description
The size of the first part in the decomposition of a permutation.
For a permutation $\pi$ of $\{1,\ldots,n\}$, this is defined to be the smallest $k > 0$ such that $\{\pi(1),\ldots,\pi(k)\} = \{1,\ldots,k\}$. This statistic is undefined for the empty permutation.
For the number of parts in the decomposition see St000056The decomposition (or block) number of a permutation..
For a permutation $\pi$ of $\{1,\ldots,n\}$, this is defined to be the smallest $k > 0$ such that $\{\pi(1),\ldots,\pi(k)\} = \{1,\ldots,k\}$. This statistic is undefined for the empty permutation.
For the number of parts in the decomposition see St000056The decomposition (or block) number of a permutation..
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
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