Identifier
-
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
Mp00149: Permutations —Lehmer code rotation⟶ Permutations
Mp00126: Permutations —cactus evacuation⟶ Permutations
St001162: Permutations ⟶ ℤ
Values
[1,2] => [1,2] => [2,1] => [2,1] => 1
[2,1] => [1,2] => [2,1] => [2,1] => 1
[1,2,3] => [1,2,3] => [2,3,1] => [2,1,3] => 1
[1,3,2] => [1,2,3] => [2,3,1] => [2,1,3] => 1
[2,1,3] => [1,2,3] => [2,3,1] => [2,1,3] => 1
[2,3,1] => [1,2,3] => [2,3,1] => [2,1,3] => 1
[3,1,2] => [1,3,2] => [2,1,3] => [2,3,1] => 1
[3,2,1] => [1,3,2] => [2,1,3] => [2,3,1] => 1
[1,2,3,4] => [1,2,3,4] => [2,3,4,1] => [2,1,3,4] => 1
[1,2,4,3] => [1,2,3,4] => [2,3,4,1] => [2,1,3,4] => 1
[1,3,2,4] => [1,2,3,4] => [2,3,4,1] => [2,1,3,4] => 1
[1,3,4,2] => [1,2,3,4] => [2,3,4,1] => [2,1,3,4] => 1
[1,4,2,3] => [1,2,4,3] => [2,3,1,4] => [2,3,1,4] => 1
[1,4,3,2] => [1,2,4,3] => [2,3,1,4] => [2,3,1,4] => 1
[2,1,3,4] => [1,2,3,4] => [2,3,4,1] => [2,1,3,4] => 1
[2,1,4,3] => [1,2,3,4] => [2,3,4,1] => [2,1,3,4] => 1
[2,3,1,4] => [1,2,3,4] => [2,3,4,1] => [2,1,3,4] => 1
[2,3,4,1] => [1,2,3,4] => [2,3,4,1] => [2,1,3,4] => 1
[2,4,1,3] => [1,2,4,3] => [2,3,1,4] => [2,3,1,4] => 1
[2,4,3,1] => [1,2,4,3] => [2,3,1,4] => [2,3,1,4] => 1
[3,1,2,4] => [1,3,2,4] => [2,4,3,1] => [4,2,1,3] => 1
[3,1,4,2] => [1,3,4,2] => [2,4,1,3] => [2,4,1,3] => 2
[3,2,1,4] => [1,3,2,4] => [2,4,3,1] => [4,2,1,3] => 1
[3,2,4,1] => [1,3,4,2] => [2,4,1,3] => [2,4,1,3] => 2
[3,4,1,2] => [1,3,2,4] => [2,4,3,1] => [4,2,1,3] => 1
[3,4,2,1] => [1,3,2,4] => [2,4,3,1] => [4,2,1,3] => 1
[4,1,2,3] => [1,4,3,2] => [2,1,3,4] => [2,3,4,1] => 1
[4,1,3,2] => [1,4,2,3] => [2,1,4,3] => [2,1,4,3] => 1
[4,2,1,3] => [1,4,3,2] => [2,1,3,4] => [2,3,4,1] => 1
[4,2,3,1] => [1,4,2,3] => [2,1,4,3] => [2,1,4,3] => 1
[4,3,1,2] => [1,4,2,3] => [2,1,4,3] => [2,1,4,3] => 1
[4,3,2,1] => [1,4,2,3] => [2,1,4,3] => [2,1,4,3] => 1
[1,2,3,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[1,2,3,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[1,2,4,3,5] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[1,2,4,5,3] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[1,2,5,3,4] => [1,2,3,5,4] => [2,3,4,1,5] => [2,3,1,4,5] => 1
[1,2,5,4,3] => [1,2,3,5,4] => [2,3,4,1,5] => [2,3,1,4,5] => 1
[1,3,2,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[1,3,2,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[1,3,4,2,5] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[1,3,4,5,2] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[1,3,5,2,4] => [1,2,3,5,4] => [2,3,4,1,5] => [2,3,1,4,5] => 1
[1,3,5,4,2] => [1,2,3,5,4] => [2,3,4,1,5] => [2,3,1,4,5] => 1
[1,4,2,3,5] => [1,2,4,3,5] => [2,3,5,4,1] => [5,2,1,3,4] => 1
[1,4,2,5,3] => [1,2,4,5,3] => [2,3,5,1,4] => [2,5,1,3,4] => 1
[1,4,3,2,5] => [1,2,4,3,5] => [2,3,5,4,1] => [5,2,1,3,4] => 1
[1,4,3,5,2] => [1,2,4,5,3] => [2,3,5,1,4] => [2,5,1,3,4] => 1
[1,4,5,2,3] => [1,2,4,3,5] => [2,3,5,4,1] => [5,2,1,3,4] => 1
[1,4,5,3,2] => [1,2,4,3,5] => [2,3,5,4,1] => [5,2,1,3,4] => 1
[1,5,2,3,4] => [1,2,5,4,3] => [2,3,1,4,5] => [2,3,4,1,5] => 1
[1,5,2,4,3] => [1,2,5,3,4] => [2,3,1,5,4] => [2,1,5,3,4] => 1
[1,5,3,2,4] => [1,2,5,4,3] => [2,3,1,4,5] => [2,3,4,1,5] => 1
[1,5,3,4,2] => [1,2,5,3,4] => [2,3,1,5,4] => [2,1,5,3,4] => 1
[1,5,4,2,3] => [1,2,5,3,4] => [2,3,1,5,4] => [2,1,5,3,4] => 1
[1,5,4,3,2] => [1,2,5,3,4] => [2,3,1,5,4] => [2,1,5,3,4] => 1
[2,1,3,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[2,1,3,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[2,1,4,3,5] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[2,1,4,5,3] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[2,1,5,3,4] => [1,2,3,5,4] => [2,3,4,1,5] => [2,3,1,4,5] => 1
[2,1,5,4,3] => [1,2,3,5,4] => [2,3,4,1,5] => [2,3,1,4,5] => 1
[2,3,1,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[2,3,1,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[2,3,4,1,5] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[2,3,4,5,1] => [1,2,3,4,5] => [2,3,4,5,1] => [2,1,3,4,5] => 1
[2,3,5,1,4] => [1,2,3,5,4] => [2,3,4,1,5] => [2,3,1,4,5] => 1
[2,3,5,4,1] => [1,2,3,5,4] => [2,3,4,1,5] => [2,3,1,4,5] => 1
[2,4,1,3,5] => [1,2,4,3,5] => [2,3,5,4,1] => [5,2,1,3,4] => 1
[2,4,1,5,3] => [1,2,4,5,3] => [2,3,5,1,4] => [2,5,1,3,4] => 1
[2,4,3,1,5] => [1,2,4,3,5] => [2,3,5,4,1] => [5,2,1,3,4] => 1
[2,4,3,5,1] => [1,2,4,5,3] => [2,3,5,1,4] => [2,5,1,3,4] => 1
[2,4,5,1,3] => [1,2,4,3,5] => [2,3,5,4,1] => [5,2,1,3,4] => 1
[2,4,5,3,1] => [1,2,4,3,5] => [2,3,5,4,1] => [5,2,1,3,4] => 1
[2,5,1,3,4] => [1,2,5,4,3] => [2,3,1,4,5] => [2,3,4,1,5] => 1
[2,5,1,4,3] => [1,2,5,3,4] => [2,3,1,5,4] => [2,1,5,3,4] => 1
[2,5,3,1,4] => [1,2,5,4,3] => [2,3,1,4,5] => [2,3,4,1,5] => 1
[2,5,3,4,1] => [1,2,5,3,4] => [2,3,1,5,4] => [2,1,5,3,4] => 1
[2,5,4,1,3] => [1,2,5,3,4] => [2,3,1,5,4] => [2,1,5,3,4] => 1
[2,5,4,3,1] => [1,2,5,3,4] => [2,3,1,5,4] => [2,1,5,3,4] => 1
[3,1,2,4,5] => [1,3,2,4,5] => [2,4,3,5,1] => [4,2,3,1,5] => 1
[3,1,2,5,4] => [1,3,2,4,5] => [2,4,3,5,1] => [4,2,3,1,5] => 1
[3,1,4,2,5] => [1,3,4,2,5] => [2,4,5,3,1] => [4,2,1,3,5] => 1
[3,1,4,5,2] => [1,3,4,5,2] => [2,4,5,1,3] => [2,4,1,3,5] => 2
[3,1,5,2,4] => [1,3,5,4,2] => [2,4,1,3,5] => [2,4,5,1,3] => 1
[3,1,5,4,2] => [1,3,5,2,4] => [2,4,1,5,3] => [2,1,4,3,5] => 1
[3,2,1,4,5] => [1,3,2,4,5] => [2,4,3,5,1] => [4,2,3,1,5] => 1
[3,2,1,5,4] => [1,3,2,4,5] => [2,4,3,5,1] => [4,2,3,1,5] => 1
[3,2,4,1,5] => [1,3,4,2,5] => [2,4,5,3,1] => [4,2,1,3,5] => 1
[3,2,4,5,1] => [1,3,4,5,2] => [2,4,5,1,3] => [2,4,1,3,5] => 2
[3,2,5,1,4] => [1,3,5,4,2] => [2,4,1,3,5] => [2,4,5,1,3] => 1
[3,2,5,4,1] => [1,3,5,2,4] => [2,4,1,5,3] => [2,1,4,3,5] => 1
[3,4,1,2,5] => [1,3,2,4,5] => [2,4,3,5,1] => [4,2,3,1,5] => 1
[3,4,1,5,2] => [1,3,2,4,5] => [2,4,3,5,1] => [4,2,3,1,5] => 1
[3,4,2,1,5] => [1,3,2,4,5] => [2,4,3,5,1] => [4,2,3,1,5] => 1
[3,4,2,5,1] => [1,3,2,4,5] => [2,4,3,5,1] => [4,2,3,1,5] => 1
[3,4,5,1,2] => [1,3,5,2,4] => [2,4,1,5,3] => [2,1,4,3,5] => 1
[3,4,5,2,1] => [1,3,5,2,4] => [2,4,1,5,3] => [2,1,4,3,5] => 1
[3,5,1,2,4] => [1,3,2,5,4] => [2,4,3,1,5] => [2,4,3,1,5] => 1
[3,5,1,4,2] => [1,3,2,5,4] => [2,4,3,1,5] => [2,4,3,1,5] => 1
[3,5,2,1,4] => [1,3,2,5,4] => [2,4,3,1,5] => [2,4,3,1,5] => 1
>>> Load all 872 entries. <<<[3,5,2,4,1] => [1,3,2,5,4] => [2,4,3,1,5] => [2,4,3,1,5] => 1
[3,5,4,1,2] => [1,3,4,2,5] => [2,4,5,3,1] => [4,2,1,3,5] => 1
[3,5,4,2,1] => [1,3,4,2,5] => [2,4,5,3,1] => [4,2,1,3,5] => 1
[4,1,2,3,5] => [1,4,3,2,5] => [2,5,4,3,1] => [5,4,2,1,3] => 1
[4,1,2,5,3] => [1,4,5,3,2] => [2,5,1,3,4] => [2,3,5,1,4] => 1
[4,1,3,2,5] => [1,4,2,3,5] => [2,5,3,4,1] => [5,2,3,1,4] => 1
[4,1,3,5,2] => [1,4,5,2,3] => [2,5,1,4,3] => [5,2,4,1,3] => 2
[4,1,5,2,3] => [1,4,2,3,5] => [2,5,3,4,1] => [5,2,3,1,4] => 1
[4,1,5,3,2] => [1,4,3,5,2] => [2,5,4,1,3] => [2,5,4,1,3] => 1
[4,2,1,3,5] => [1,4,3,2,5] => [2,5,4,3,1] => [5,4,2,1,3] => 1
[4,2,1,5,3] => [1,4,5,3,2] => [2,5,1,3,4] => [2,3,5,1,4] => 1
[4,2,3,1,5] => [1,4,2,3,5] => [2,5,3,4,1] => [5,2,3,1,4] => 1
[4,2,3,5,1] => [1,4,5,2,3] => [2,5,1,4,3] => [5,2,4,1,3] => 2
[4,2,5,1,3] => [1,4,2,3,5] => [2,5,3,4,1] => [5,2,3,1,4] => 1
[4,2,5,3,1] => [1,4,3,5,2] => [2,5,4,1,3] => [2,5,4,1,3] => 1
[4,3,1,2,5] => [1,4,2,3,5] => [2,5,3,4,1] => [5,2,3,1,4] => 1
[4,3,1,5,2] => [1,4,5,2,3] => [2,5,1,4,3] => [5,2,4,1,3] => 2
[4,3,2,1,5] => [1,4,2,3,5] => [2,5,3,4,1] => [5,2,3,1,4] => 1
[4,3,2,5,1] => [1,4,5,2,3] => [2,5,1,4,3] => [5,2,4,1,3] => 2
[4,3,5,1,2] => [1,4,2,3,5] => [2,5,3,4,1] => [5,2,3,1,4] => 1
[4,3,5,2,1] => [1,4,2,3,5] => [2,5,3,4,1] => [5,2,3,1,4] => 1
[4,5,1,2,3] => [1,4,2,5,3] => [2,5,3,1,4] => [2,5,3,1,4] => 2
[4,5,1,3,2] => [1,4,3,2,5] => [2,5,4,3,1] => [5,4,2,1,3] => 1
[4,5,2,1,3] => [1,4,2,5,3] => [2,5,3,1,4] => [2,5,3,1,4] => 2
[4,5,2,3,1] => [1,4,3,2,5] => [2,5,4,3,1] => [5,4,2,1,3] => 1
[4,5,3,1,2] => [1,4,2,5,3] => [2,5,3,1,4] => [2,5,3,1,4] => 2
[4,5,3,2,1] => [1,4,2,5,3] => [2,5,3,1,4] => [2,5,3,1,4] => 2
[5,1,2,3,4] => [1,5,4,3,2] => [2,1,3,4,5] => [2,3,4,5,1] => 1
[5,1,2,4,3] => [1,5,3,2,4] => [2,1,5,4,3] => [5,2,1,4,3] => 1
[5,1,3,2,4] => [1,5,4,2,3] => [2,1,3,5,4] => [2,1,3,5,4] => 1
[5,1,3,4,2] => [1,5,2,3,4] => [2,1,4,5,3] => [2,1,4,5,3] => 1
[5,1,4,2,3] => [1,5,3,4,2] => [2,1,5,3,4] => [2,3,1,5,4] => 1
[5,1,4,3,2] => [1,5,2,3,4] => [2,1,4,5,3] => [2,1,4,5,3] => 1
[5,2,1,3,4] => [1,5,4,3,2] => [2,1,3,4,5] => [2,3,4,5,1] => 1
[5,2,1,4,3] => [1,5,3,2,4] => [2,1,5,4,3] => [5,2,1,4,3] => 1
[5,2,3,1,4] => [1,5,4,2,3] => [2,1,3,5,4] => [2,1,3,5,4] => 1
[5,2,3,4,1] => [1,5,2,3,4] => [2,1,4,5,3] => [2,1,4,5,3] => 1
[5,2,4,1,3] => [1,5,3,4,2] => [2,1,5,3,4] => [2,3,1,5,4] => 1
[5,2,4,3,1] => [1,5,2,3,4] => [2,1,4,5,3] => [2,1,4,5,3] => 1
[5,3,1,2,4] => [1,5,4,2,3] => [2,1,3,5,4] => [2,1,3,5,4] => 1
[5,3,1,4,2] => [1,5,2,3,4] => [2,1,4,5,3] => [2,1,4,5,3] => 1
[5,3,2,1,4] => [1,5,4,2,3] => [2,1,3,5,4] => [2,1,3,5,4] => 1
[5,3,2,4,1] => [1,5,2,3,4] => [2,1,4,5,3] => [2,1,4,5,3] => 1
[5,3,4,1,2] => [1,5,2,3,4] => [2,1,4,5,3] => [2,1,4,5,3] => 1
[5,3,4,2,1] => [1,5,2,3,4] => [2,1,4,5,3] => [2,1,4,5,3] => 1
[5,4,1,2,3] => [1,5,3,2,4] => [2,1,5,4,3] => [5,2,1,4,3] => 1
[5,4,1,3,2] => [1,5,2,4,3] => [2,1,4,3,5] => [2,4,1,5,3] => 2
[5,4,2,1,3] => [1,5,3,2,4] => [2,1,5,4,3] => [5,2,1,4,3] => 1
[5,4,2,3,1] => [1,5,2,4,3] => [2,1,4,3,5] => [2,4,1,5,3] => 2
[5,4,3,1,2] => [1,5,2,4,3] => [2,1,4,3,5] => [2,4,1,5,3] => 2
[5,4,3,2,1] => [1,5,2,4,3] => [2,1,4,3,5] => [2,4,1,5,3] => 2
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,2,3,4,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,2,3,5,4,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,2,3,5,6,4] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,2,3,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[1,2,3,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[1,2,4,3,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,2,4,3,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,2,4,5,3,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,2,4,5,6,3] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,2,4,6,3,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[1,2,4,6,5,3] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[1,2,5,3,4,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[1,2,5,3,6,4] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [2,6,1,3,4,5] => 1
[1,2,5,4,3,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[1,2,5,4,6,3] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [2,6,1,3,4,5] => 1
[1,2,5,6,3,4] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[1,2,5,6,4,3] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[1,2,6,3,4,5] => [1,2,3,6,5,4] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => 1
[1,2,6,3,5,4] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[1,2,6,4,3,5] => [1,2,3,6,5,4] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => 1
[1,2,6,4,5,3] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[1,2,6,5,3,4] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[1,2,6,5,4,3] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[1,3,2,4,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,3,2,4,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,3,2,5,4,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,3,2,5,6,4] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,3,2,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[1,3,2,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[1,3,4,2,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,3,4,2,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,3,4,5,2,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,3,4,5,6,2] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[1,3,4,6,2,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[1,3,4,6,5,2] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[1,3,5,2,4,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[1,3,5,2,6,4] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [2,6,1,3,4,5] => 1
[1,3,5,4,2,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[1,3,5,4,6,2] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [2,6,1,3,4,5] => 1
[1,3,5,6,2,4] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[1,3,5,6,4,2] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[1,3,6,2,4,5] => [1,2,3,6,5,4] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => 1
[1,3,6,2,5,4] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[1,3,6,4,2,5] => [1,2,3,6,5,4] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => 1
[1,3,6,4,5,2] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[1,3,6,5,2,4] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[1,3,6,5,4,2] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[1,4,2,3,5,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[1,4,2,3,6,5] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[1,4,2,5,3,6] => [1,2,4,5,3,6] => [2,3,5,6,4,1] => [5,2,1,3,4,6] => 1
[1,4,2,5,6,3] => [1,2,4,5,6,3] => [2,3,5,6,1,4] => [2,5,1,3,4,6] => 1
[1,4,2,6,3,5] => [1,2,4,6,5,3] => [2,3,5,1,4,6] => [2,3,5,1,4,6] => 1
[1,4,2,6,5,3] => [1,2,4,6,3,5] => [2,3,5,1,6,4] => [2,1,5,3,4,6] => 1
[1,4,3,2,5,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[1,4,3,2,6,5] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[1,4,3,5,2,6] => [1,2,4,5,3,6] => [2,3,5,6,4,1] => [5,2,1,3,4,6] => 1
[1,4,3,5,6,2] => [1,2,4,5,6,3] => [2,3,5,6,1,4] => [2,5,1,3,4,6] => 1
[1,4,3,6,2,5] => [1,2,4,6,5,3] => [2,3,5,1,4,6] => [2,3,5,1,4,6] => 1
[1,4,3,6,5,2] => [1,2,4,6,3,5] => [2,3,5,1,6,4] => [2,1,5,3,4,6] => 1
[1,4,5,2,3,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[1,4,5,2,6,3] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[1,4,5,3,2,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[1,4,5,3,6,2] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[1,4,5,6,2,3] => [1,2,4,6,3,5] => [2,3,5,1,6,4] => [2,1,5,3,4,6] => 1
[1,4,5,6,3,2] => [1,2,4,6,3,5] => [2,3,5,1,6,4] => [2,1,5,3,4,6] => 1
[1,4,6,2,3,5] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [2,5,3,1,4,6] => 2
[1,4,6,2,5,3] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [2,5,3,1,4,6] => 2
[1,4,6,3,2,5] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [2,5,3,1,4,6] => 2
[1,4,6,3,5,2] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [2,5,3,1,4,6] => 2
[1,4,6,5,2,3] => [1,2,4,5,3,6] => [2,3,5,6,4,1] => [5,2,1,3,4,6] => 1
[1,4,6,5,3,2] => [1,2,4,5,3,6] => [2,3,5,6,4,1] => [5,2,1,3,4,6] => 1
[1,5,2,3,4,6] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [6,5,2,1,3,4] => 1
[1,5,2,3,6,4] => [1,2,5,6,4,3] => [2,3,6,1,4,5] => [2,3,6,1,4,5] => 1
[1,5,2,4,3,6] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[1,5,2,4,6,3] => [1,2,5,6,3,4] => [2,3,6,1,5,4] => [6,2,5,1,3,4] => 1
[1,5,2,6,3,4] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[1,5,2,6,4,3] => [1,2,5,4,6,3] => [2,3,6,5,1,4] => [2,6,5,1,3,4] => 1
[1,5,3,2,4,6] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [6,5,2,1,3,4] => 1
[1,5,3,2,6,4] => [1,2,5,6,4,3] => [2,3,6,1,4,5] => [2,3,6,1,4,5] => 1
[1,5,3,4,2,6] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[1,5,3,4,6,2] => [1,2,5,6,3,4] => [2,3,6,1,5,4] => [6,2,5,1,3,4] => 1
[1,5,3,6,2,4] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[1,5,3,6,4,2] => [1,2,5,4,6,3] => [2,3,6,5,1,4] => [2,6,5,1,3,4] => 1
[1,5,4,2,3,6] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[1,5,4,2,6,3] => [1,2,5,6,3,4] => [2,3,6,1,5,4] => [6,2,5,1,3,4] => 1
[1,5,4,3,2,6] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[1,5,4,3,6,2] => [1,2,5,6,3,4] => [2,3,6,1,5,4] => [6,2,5,1,3,4] => 1
[1,5,4,6,2,3] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[1,5,4,6,3,2] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[1,5,6,2,3,4] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => [2,6,3,1,4,5] => 1
[1,5,6,2,4,3] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [6,5,2,1,3,4] => 1
[1,5,6,3,2,4] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => [2,6,3,1,4,5] => 1
[1,5,6,3,4,2] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [6,5,2,1,3,4] => 1
[1,5,6,4,2,3] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => [2,6,3,1,4,5] => 1
[1,5,6,4,3,2] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => [2,6,3,1,4,5] => 1
[1,6,2,3,4,5] => [1,2,6,5,4,3] => [2,3,1,4,5,6] => [2,3,4,5,1,6] => 1
[1,6,2,3,5,4] => [1,2,6,4,3,5] => [2,3,1,6,5,4] => [6,2,1,5,3,4] => 1
[1,6,2,4,3,5] => [1,2,6,5,3,4] => [2,3,1,4,6,5] => [2,1,3,6,4,5] => 1
[1,6,2,4,5,3] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[1,6,2,5,3,4] => [1,2,6,4,5,3] => [2,3,1,6,4,5] => [2,3,1,6,4,5] => 1
[1,6,2,5,4,3] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[1,6,3,2,4,5] => [1,2,6,5,4,3] => [2,3,1,4,5,6] => [2,3,4,5,1,6] => 1
[1,6,3,2,5,4] => [1,2,6,4,3,5] => [2,3,1,6,5,4] => [6,2,1,5,3,4] => 1
[1,6,3,4,2,5] => [1,2,6,5,3,4] => [2,3,1,4,6,5] => [2,1,3,6,4,5] => 1
[1,6,3,4,5,2] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[1,6,3,5,2,4] => [1,2,6,4,5,3] => [2,3,1,6,4,5] => [2,3,1,6,4,5] => 1
[1,6,3,5,4,2] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[1,6,4,2,3,5] => [1,2,6,5,3,4] => [2,3,1,4,6,5] => [2,1,3,6,4,5] => 1
[1,6,4,2,5,3] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[1,6,4,3,2,5] => [1,2,6,5,3,4] => [2,3,1,4,6,5] => [2,1,3,6,4,5] => 1
[1,6,4,3,5,2] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[1,6,4,5,2,3] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[1,6,4,5,3,2] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[1,6,5,2,3,4] => [1,2,6,4,3,5] => [2,3,1,6,5,4] => [6,2,1,5,3,4] => 1
[1,6,5,2,4,3] => [1,2,6,3,5,4] => [2,3,1,5,4,6] => [2,3,1,5,4,6] => 1
[1,6,5,3,2,4] => [1,2,6,4,3,5] => [2,3,1,6,5,4] => [6,2,1,5,3,4] => 1
[1,6,5,3,4,2] => [1,2,6,3,5,4] => [2,3,1,5,4,6] => [2,3,1,5,4,6] => 1
[1,6,5,4,2,3] => [1,2,6,3,5,4] => [2,3,1,5,4,6] => [2,3,1,5,4,6] => 1
[1,6,5,4,3,2] => [1,2,6,3,5,4] => [2,3,1,5,4,6] => [2,3,1,5,4,6] => 1
[2,1,3,4,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,1,3,4,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,1,3,5,4,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,1,3,5,6,4] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,1,3,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[2,1,3,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[2,1,4,3,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,1,4,3,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,1,4,5,3,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,1,4,5,6,3] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,1,4,6,3,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[2,1,4,6,5,3] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[2,1,5,3,4,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[2,1,5,3,6,4] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [2,6,1,3,4,5] => 1
[2,1,5,4,3,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[2,1,5,4,6,3] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [2,6,1,3,4,5] => 1
[2,1,5,6,3,4] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[2,1,5,6,4,3] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[2,1,6,3,4,5] => [1,2,3,6,5,4] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => 1
[2,1,6,3,5,4] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[2,1,6,4,3,5] => [1,2,3,6,5,4] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => 1
[2,1,6,4,5,3] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[2,1,6,5,3,4] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[2,1,6,5,4,3] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[2,3,1,4,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,3,1,4,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,3,1,5,4,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,3,1,5,6,4] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,3,1,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[2,3,1,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[2,3,4,1,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,3,4,1,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,3,4,5,1,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,3,4,5,6,1] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [2,1,3,4,5,6] => 1
[2,3,4,6,1,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[2,3,4,6,5,1] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [2,3,1,4,5,6] => 1
[2,3,5,1,4,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[2,3,5,1,6,4] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [2,6,1,3,4,5] => 1
[2,3,5,4,1,6] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[2,3,5,4,6,1] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [2,6,1,3,4,5] => 1
[2,3,5,6,1,4] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[2,3,5,6,4,1] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [6,2,1,3,4,5] => 1
[2,3,6,1,4,5] => [1,2,3,6,5,4] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => 1
[2,3,6,1,5,4] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[2,3,6,4,1,5] => [1,2,3,6,5,4] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => 1
[2,3,6,4,5,1] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[2,3,6,5,1,4] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[2,3,6,5,4,1] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [2,1,6,3,4,5] => 1
[2,4,1,3,5,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[2,4,1,3,6,5] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[2,4,1,5,3,6] => [1,2,4,5,3,6] => [2,3,5,6,4,1] => [5,2,1,3,4,6] => 1
[2,4,1,5,6,3] => [1,2,4,5,6,3] => [2,3,5,6,1,4] => [2,5,1,3,4,6] => 1
[2,4,1,6,3,5] => [1,2,4,6,5,3] => [2,3,5,1,4,6] => [2,3,5,1,4,6] => 1
[2,4,1,6,5,3] => [1,2,4,6,3,5] => [2,3,5,1,6,4] => [2,1,5,3,4,6] => 1
[2,4,3,1,5,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[2,4,3,1,6,5] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[2,4,3,5,1,6] => [1,2,4,5,3,6] => [2,3,5,6,4,1] => [5,2,1,3,4,6] => 1
[2,4,3,5,6,1] => [1,2,4,5,6,3] => [2,3,5,6,1,4] => [2,5,1,3,4,6] => 1
[2,4,3,6,1,5] => [1,2,4,6,5,3] => [2,3,5,1,4,6] => [2,3,5,1,4,6] => 1
[2,4,3,6,5,1] => [1,2,4,6,3,5] => [2,3,5,1,6,4] => [2,1,5,3,4,6] => 1
[2,4,5,1,3,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[2,4,5,1,6,3] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[2,4,5,3,1,6] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[2,4,5,3,6,1] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [5,2,3,1,4,6] => 1
[2,4,5,6,1,3] => [1,2,4,6,3,5] => [2,3,5,1,6,4] => [2,1,5,3,4,6] => 1
[2,4,5,6,3,1] => [1,2,4,6,3,5] => [2,3,5,1,6,4] => [2,1,5,3,4,6] => 1
[2,4,6,1,3,5] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [2,5,3,1,4,6] => 2
[2,4,6,1,5,3] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [2,5,3,1,4,6] => 2
[2,4,6,3,1,5] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [2,5,3,1,4,6] => 2
[2,4,6,3,5,1] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [2,5,3,1,4,6] => 2
[2,4,6,5,1,3] => [1,2,4,5,3,6] => [2,3,5,6,4,1] => [5,2,1,3,4,6] => 1
[2,4,6,5,3,1] => [1,2,4,5,3,6] => [2,3,5,6,4,1] => [5,2,1,3,4,6] => 1
[2,5,1,3,4,6] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [6,5,2,1,3,4] => 1
[2,5,1,3,6,4] => [1,2,5,6,4,3] => [2,3,6,1,4,5] => [2,3,6,1,4,5] => 1
[2,5,1,4,3,6] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[2,5,1,4,6,3] => [1,2,5,6,3,4] => [2,3,6,1,5,4] => [6,2,5,1,3,4] => 1
[2,5,1,6,3,4] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[2,5,1,6,4,3] => [1,2,5,4,6,3] => [2,3,6,5,1,4] => [2,6,5,1,3,4] => 1
[2,5,3,1,4,6] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [6,5,2,1,3,4] => 1
[2,5,3,1,6,4] => [1,2,5,6,4,3] => [2,3,6,1,4,5] => [2,3,6,1,4,5] => 1
[2,5,3,4,1,6] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[2,5,3,4,6,1] => [1,2,5,6,3,4] => [2,3,6,1,5,4] => [6,2,5,1,3,4] => 1
[2,5,3,6,1,4] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[2,5,3,6,4,1] => [1,2,5,4,6,3] => [2,3,6,5,1,4] => [2,6,5,1,3,4] => 1
[2,5,4,1,3,6] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[2,5,4,1,6,3] => [1,2,5,6,3,4] => [2,3,6,1,5,4] => [6,2,5,1,3,4] => 1
[2,5,4,3,1,6] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[2,5,4,3,6,1] => [1,2,5,6,3,4] => [2,3,6,1,5,4] => [6,2,5,1,3,4] => 1
[2,5,4,6,1,3] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[2,5,4,6,3,1] => [1,2,5,3,4,6] => [2,3,6,4,5,1] => [6,2,3,1,4,5] => 1
[2,5,6,1,3,4] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => [2,6,3,1,4,5] => 1
[2,5,6,1,4,3] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [6,5,2,1,3,4] => 1
[2,5,6,3,1,4] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => [2,6,3,1,4,5] => 1
[2,5,6,3,4,1] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [6,5,2,1,3,4] => 1
[2,5,6,4,1,3] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => [2,6,3,1,4,5] => 1
[2,5,6,4,3,1] => [1,2,5,3,6,4] => [2,3,6,4,1,5] => [2,6,3,1,4,5] => 1
[2,6,1,3,4,5] => [1,2,6,5,4,3] => [2,3,1,4,5,6] => [2,3,4,5,1,6] => 1
[2,6,1,3,5,4] => [1,2,6,4,3,5] => [2,3,1,6,5,4] => [6,2,1,5,3,4] => 1
[2,6,1,4,3,5] => [1,2,6,5,3,4] => [2,3,1,4,6,5] => [2,1,3,6,4,5] => 1
[2,6,1,4,5,3] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[2,6,1,5,3,4] => [1,2,6,4,5,3] => [2,3,1,6,4,5] => [2,3,1,6,4,5] => 1
[2,6,1,5,4,3] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[2,6,3,1,4,5] => [1,2,6,5,4,3] => [2,3,1,4,5,6] => [2,3,4,5,1,6] => 1
[2,6,3,1,5,4] => [1,2,6,4,3,5] => [2,3,1,6,5,4] => [6,2,1,5,3,4] => 1
[2,6,3,4,1,5] => [1,2,6,5,3,4] => [2,3,1,4,6,5] => [2,1,3,6,4,5] => 1
[2,6,3,4,5,1] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[2,6,3,5,1,4] => [1,2,6,4,5,3] => [2,3,1,6,4,5] => [2,3,1,6,4,5] => 1
[2,6,3,5,4,1] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[2,6,4,1,3,5] => [1,2,6,5,3,4] => [2,3,1,4,6,5] => [2,1,3,6,4,5] => 1
[2,6,4,1,5,3] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[2,6,4,3,1,5] => [1,2,6,5,3,4] => [2,3,1,4,6,5] => [2,1,3,6,4,5] => 1
[2,6,4,3,5,1] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[2,6,4,5,1,3] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[2,6,4,5,3,1] => [1,2,6,3,4,5] => [2,3,1,5,6,4] => [2,1,3,5,4,6] => 1
[2,6,5,1,3,4] => [1,2,6,4,3,5] => [2,3,1,6,5,4] => [6,2,1,5,3,4] => 1
[2,6,5,1,4,3] => [1,2,6,3,5,4] => [2,3,1,5,4,6] => [2,3,1,5,4,6] => 1
[2,6,5,3,1,4] => [1,2,6,4,3,5] => [2,3,1,6,5,4] => [6,2,1,5,3,4] => 1
[2,6,5,3,4,1] => [1,2,6,3,5,4] => [2,3,1,5,4,6] => [2,3,1,5,4,6] => 1
[2,6,5,4,1,3] => [1,2,6,3,5,4] => [2,3,1,5,4,6] => [2,3,1,5,4,6] => 1
[2,6,5,4,3,1] => [1,2,6,3,5,4] => [2,3,1,5,4,6] => [2,3,1,5,4,6] => 1
[3,1,2,4,5,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,1,2,4,6,5] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,1,2,5,4,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,1,2,5,6,4] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,1,2,6,4,5] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [2,4,3,5,1,6] => 1
[3,1,2,6,5,4] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [2,4,3,5,1,6] => 1
[3,1,4,2,5,6] => [1,3,4,2,5,6] => [2,4,5,3,6,1] => [4,2,3,1,5,6] => 1
[3,1,4,2,6,5] => [1,3,4,2,5,6] => [2,4,5,3,6,1] => [4,2,3,1,5,6] => 1
[3,1,4,5,2,6] => [1,3,4,5,2,6] => [2,4,5,6,3,1] => [4,2,1,3,5,6] => 1
[3,1,4,5,6,2] => [1,3,4,5,6,2] => [2,4,5,6,1,3] => [2,4,1,3,5,6] => 1
[3,1,4,6,2,5] => [1,3,4,6,5,2] => [2,4,5,1,3,6] => [2,4,5,1,3,6] => 1
[3,1,4,6,5,2] => [1,3,4,6,2,5] => [2,4,5,1,6,3] => [2,1,4,3,5,6] => 1
[3,1,5,2,4,6] => [1,3,5,4,2,6] => [2,4,6,5,3,1] => [6,4,2,1,3,5] => 1
[3,1,5,2,6,4] => [1,3,5,6,4,2] => [2,4,6,1,3,5] => [2,4,6,1,3,5] => 2
[3,1,5,4,2,6] => [1,3,5,2,4,6] => [2,4,6,3,5,1] => [4,2,6,1,3,5] => 2
[3,1,5,4,6,2] => [1,3,5,6,2,4] => [2,4,6,1,5,3] => [6,2,4,1,3,5] => 2
[3,1,5,6,2,4] => [1,3,5,2,4,6] => [2,4,6,3,5,1] => [4,2,6,1,3,5] => 2
[3,1,5,6,4,2] => [1,3,5,4,6,2] => [2,4,6,5,1,3] => [2,6,4,1,3,5] => 2
[3,1,6,2,4,5] => [1,3,6,5,4,2] => [2,4,1,3,5,6] => [2,4,5,6,1,3] => 1
[3,1,6,2,5,4] => [1,3,6,4,2,5] => [2,4,1,6,5,3] => [6,2,1,4,3,5] => 1
[3,1,6,4,2,5] => [1,3,6,5,2,4] => [2,4,1,3,6,5] => [2,1,4,6,3,5] => 1
[3,1,6,4,5,2] => [1,3,6,2,4,5] => [2,4,1,5,6,3] => [2,1,4,5,3,6] => 1
[3,1,6,5,2,4] => [1,3,6,4,5,2] => [2,4,1,6,3,5] => [2,4,1,6,3,5] => 2
[3,1,6,5,4,2] => [1,3,6,2,4,5] => [2,4,1,5,6,3] => [2,1,4,5,3,6] => 1
[3,2,1,4,5,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,2,1,4,6,5] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,2,1,5,4,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,2,1,5,6,4] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,2,1,6,4,5] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [2,4,3,5,1,6] => 1
[3,2,1,6,5,4] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [2,4,3,5,1,6] => 1
[3,2,4,1,5,6] => [1,3,4,2,5,6] => [2,4,5,3,6,1] => [4,2,3,1,5,6] => 1
[3,2,4,1,6,5] => [1,3,4,2,5,6] => [2,4,5,3,6,1] => [4,2,3,1,5,6] => 1
[3,2,4,5,1,6] => [1,3,4,5,2,6] => [2,4,5,6,3,1] => [4,2,1,3,5,6] => 1
[3,2,4,5,6,1] => [1,3,4,5,6,2] => [2,4,5,6,1,3] => [2,4,1,3,5,6] => 1
[3,2,4,6,1,5] => [1,3,4,6,5,2] => [2,4,5,1,3,6] => [2,4,5,1,3,6] => 1
[3,2,4,6,5,1] => [1,3,4,6,2,5] => [2,4,5,1,6,3] => [2,1,4,3,5,6] => 1
[3,2,5,1,4,6] => [1,3,5,4,2,6] => [2,4,6,5,3,1] => [6,4,2,1,3,5] => 1
[3,2,5,1,6,4] => [1,3,5,6,4,2] => [2,4,6,1,3,5] => [2,4,6,1,3,5] => 2
[3,2,5,4,1,6] => [1,3,5,2,4,6] => [2,4,6,3,5,1] => [4,2,6,1,3,5] => 2
[3,2,5,4,6,1] => [1,3,5,6,2,4] => [2,4,6,1,5,3] => [6,2,4,1,3,5] => 2
[3,2,5,6,1,4] => [1,3,5,2,4,6] => [2,4,6,3,5,1] => [4,2,6,1,3,5] => 2
[3,2,5,6,4,1] => [1,3,5,4,6,2] => [2,4,6,5,1,3] => [2,6,4,1,3,5] => 2
[3,2,6,1,4,5] => [1,3,6,5,4,2] => [2,4,1,3,5,6] => [2,4,5,6,1,3] => 1
[3,2,6,1,5,4] => [1,3,6,4,2,5] => [2,4,1,6,5,3] => [6,2,1,4,3,5] => 1
[3,2,6,4,1,5] => [1,3,6,5,2,4] => [2,4,1,3,6,5] => [2,1,4,6,3,5] => 1
[3,2,6,4,5,1] => [1,3,6,2,4,5] => [2,4,1,5,6,3] => [2,1,4,5,3,6] => 1
[3,2,6,5,1,4] => [1,3,6,4,5,2] => [2,4,1,6,3,5] => [2,4,1,6,3,5] => 2
[3,2,6,5,4,1] => [1,3,6,2,4,5] => [2,4,1,5,6,3] => [2,1,4,5,3,6] => 1
[3,4,1,2,5,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,4,1,2,6,5] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,4,1,5,2,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,4,1,5,6,2] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,4,1,6,2,5] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [2,4,3,5,1,6] => 1
[3,4,1,6,5,2] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [2,4,3,5,1,6] => 1
[3,4,2,1,5,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,4,2,1,6,5] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,4,2,5,1,6] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,4,2,5,6,1] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [4,2,3,5,1,6] => 1
[3,4,2,6,1,5] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [2,4,3,5,1,6] => 1
[3,4,2,6,5,1] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [2,4,3,5,1,6] => 1
[3,4,5,1,2,6] => [1,3,5,2,4,6] => [2,4,6,3,5,1] => [4,2,6,1,3,5] => 2
[3,4,5,1,6,2] => [1,3,5,6,2,4] => [2,4,6,1,5,3] => [6,2,4,1,3,5] => 2
[3,4,5,2,1,6] => [1,3,5,2,4,6] => [2,4,6,3,5,1] => [4,2,6,1,3,5] => 2
[3,4,5,2,6,1] => [1,3,5,6,2,4] => [2,4,6,1,5,3] => [6,2,4,1,3,5] => 2
[3,4,5,6,1,2] => [1,3,5,2,4,6] => [2,4,6,3,5,1] => [4,2,6,1,3,5] => 2
[3,4,5,6,2,1] => [1,3,5,2,4,6] => [2,4,6,3,5,1] => [4,2,6,1,3,5] => 2
[3,4,6,1,2,5] => [1,3,6,5,2,4] => [2,4,1,3,6,5] => [2,1,4,6,3,5] => 1
[3,4,6,1,5,2] => [1,3,6,2,4,5] => [2,4,1,5,6,3] => [2,1,4,5,3,6] => 1
[3,4,6,2,1,5] => [1,3,6,5,2,4] => [2,4,1,3,6,5] => [2,1,4,6,3,5] => 1
[3,4,6,2,5,1] => [1,3,6,2,4,5] => [2,4,1,5,6,3] => [2,1,4,5,3,6] => 1
[3,4,6,5,1,2] => [1,3,6,2,4,5] => [2,4,1,5,6,3] => [2,1,4,5,3,6] => 1
[3,4,6,5,2,1] => [1,3,6,2,4,5] => [2,4,1,5,6,3] => [2,1,4,5,3,6] => 1
[3,5,1,2,4,6] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [4,2,1,6,3,5] => 1
[3,5,1,2,6,4] => [1,3,2,5,6,4] => [2,4,3,6,1,5] => [4,6,2,3,1,5] => 1
[3,5,1,4,2,6] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [4,2,1,6,3,5] => 1
[3,5,1,4,6,2] => [1,3,2,5,6,4] => [2,4,3,6,1,5] => [4,6,2,3,1,5] => 1
[3,5,1,6,2,4] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [4,2,1,6,3,5] => 1
[3,5,1,6,4,2] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [4,2,1,6,3,5] => 1
[3,5,2,1,4,6] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [4,2,1,6,3,5] => 1
[3,5,2,1,6,4] => [1,3,2,5,6,4] => [2,4,3,6,1,5] => [4,6,2,3,1,5] => 1
[3,5,2,4,1,6] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [4,2,1,6,3,5] => 1
[3,5,2,4,6,1] => [1,3,2,5,6,4] => [2,4,3,6,1,5] => [4,6,2,3,1,5] => 1
[3,5,2,6,1,4] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [4,2,1,6,3,5] => 1
[3,5,2,6,4,1] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [4,2,1,6,3,5] => 1
[3,5,4,1,2,6] => [1,3,4,2,5,6] => [2,4,5,3,6,1] => [4,2,3,1,5,6] => 1
[3,5,4,1,6,2] => [1,3,4,2,5,6] => [2,4,5,3,6,1] => [4,2,3,1,5,6] => 1
[3,5,4,2,1,6] => [1,3,4,2,5,6] => [2,4,5,3,6,1] => [4,2,3,1,5,6] => 1
[3,5,4,2,6,1] => [1,3,4,2,5,6] => [2,4,5,3,6,1] => [4,2,3,1,5,6] => 1
[3,5,4,6,1,2] => [1,3,4,6,2,5] => [2,4,5,1,6,3] => [2,1,4,3,5,6] => 1
[3,5,4,6,2,1] => [1,3,4,6,2,5] => [2,4,5,1,6,3] => [2,1,4,3,5,6] => 1
[3,5,6,1,2,4] => [1,3,6,4,2,5] => [2,4,1,6,5,3] => [6,2,1,4,3,5] => 1
[3,5,6,1,4,2] => [1,3,6,2,5,4] => [2,4,1,5,3,6] => [2,4,1,5,3,6] => 2
[3,5,6,2,1,4] => [1,3,6,4,2,5] => [2,4,1,6,5,3] => [6,2,1,4,3,5] => 1
[3,5,6,2,4,1] => [1,3,6,2,5,4] => [2,4,1,5,3,6] => [2,4,1,5,3,6] => 2
[3,5,6,4,1,2] => [1,3,6,2,5,4] => [2,4,1,5,3,6] => [2,4,1,5,3,6] => 2
[3,5,6,4,2,1] => [1,3,6,2,5,4] => [2,4,1,5,3,6] => [2,4,1,5,3,6] => 2
[3,6,1,2,4,5] => [1,3,2,6,5,4] => [2,4,3,1,5,6] => [2,4,5,3,1,6] => 1
[3,6,1,2,5,4] => [1,3,2,6,4,5] => [2,4,3,1,6,5] => [4,2,6,3,1,5] => 2
[3,6,1,4,2,5] => [1,3,2,6,5,4] => [2,4,3,1,5,6] => [2,4,5,3,1,6] => 1
[3,6,1,4,5,2] => [1,3,2,6,4,5] => [2,4,3,1,6,5] => [4,2,6,3,1,5] => 2
[3,6,1,5,2,4] => [1,3,2,6,4,5] => [2,4,3,1,6,5] => [4,2,6,3,1,5] => 2
[3,6,1,5,4,2] => [1,3,2,6,4,5] => [2,4,3,1,6,5] => [4,2,6,3,1,5] => 2
[3,6,2,1,4,5] => [1,3,2,6,5,4] => [2,4,3,1,5,6] => [2,4,5,3,1,6] => 1
[3,6,2,1,5,4] => [1,3,2,6,4,5] => [2,4,3,1,6,5] => [4,2,6,3,1,5] => 2
[3,6,2,4,1,5] => [1,3,2,6,5,4] => [2,4,3,1,5,6] => [2,4,5,3,1,6] => 1
[3,6,2,4,5,1] => [1,3,2,6,4,5] => [2,4,3,1,6,5] => [4,2,6,3,1,5] => 2
[3,6,2,5,1,4] => [1,3,2,6,4,5] => [2,4,3,1,6,5] => [4,2,6,3,1,5] => 2
[3,6,2,5,4,1] => [1,3,2,6,4,5] => [2,4,3,1,6,5] => [4,2,6,3,1,5] => 2
[3,6,4,1,2,5] => [1,3,4,2,6,5] => [2,4,5,3,1,6] => [2,4,3,1,5,6] => 1
[3,6,4,1,5,2] => [1,3,4,2,6,5] => [2,4,5,3,1,6] => [2,4,3,1,5,6] => 1
[3,6,4,2,1,5] => [1,3,4,2,6,5] => [2,4,5,3,1,6] => [2,4,3,1,5,6] => 1
[3,6,4,2,5,1] => [1,3,4,2,6,5] => [2,4,5,3,1,6] => [2,4,3,1,5,6] => 1
[3,6,4,5,1,2] => [1,3,4,5,2,6] => [2,4,5,6,3,1] => [4,2,1,3,5,6] => 1
[3,6,4,5,2,1] => [1,3,4,5,2,6] => [2,4,5,6,3,1] => [4,2,1,3,5,6] => 1
[3,6,5,1,2,4] => [1,3,5,2,6,4] => [2,4,6,3,1,5] => [4,6,2,1,3,5] => 1
[3,6,5,1,4,2] => [1,3,5,4,2,6] => [2,4,6,5,3,1] => [6,4,2,1,3,5] => 1
[3,6,5,2,1,4] => [1,3,5,2,6,4] => [2,4,6,3,1,5] => [4,6,2,1,3,5] => 1
[3,6,5,2,4,1] => [1,3,5,4,2,6] => [2,4,6,5,3,1] => [6,4,2,1,3,5] => 1
[3,6,5,4,1,2] => [1,3,5,2,6,4] => [2,4,6,3,1,5] => [4,6,2,1,3,5] => 1
[3,6,5,4,2,1] => [1,3,5,2,6,4] => [2,4,6,3,1,5] => [4,6,2,1,3,5] => 1
[4,1,2,3,5,6] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [5,2,4,3,1,6] => 1
[4,1,2,3,6,5] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [5,2,4,3,1,6] => 1
[4,1,2,5,3,6] => [1,4,5,3,2,6] => [2,5,6,4,3,1] => [5,4,2,1,3,6] => 1
[4,1,2,5,6,3] => [1,4,5,6,3,2] => [2,5,6,1,3,4] => [2,5,6,1,3,4] => 1
[4,1,2,6,3,5] => [1,4,6,5,3,2] => [2,5,1,3,4,6] => [2,3,5,6,1,4] => 1
[4,1,2,6,5,3] => [1,4,6,3,2,5] => [2,5,1,6,4,3] => [5,2,1,4,3,6] => 1
[4,1,3,2,5,6] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,1,3,2,6,5] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,1,3,5,2,6] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [5,2,6,1,3,4] => 1
[4,1,3,5,6,2] => [1,4,5,6,2,3] => [2,5,6,1,4,3] => [5,2,4,1,3,6] => 2
[4,1,3,6,2,5] => [1,4,6,5,2,3] => [2,5,1,3,6,4] => [2,1,5,6,3,4] => 1
[4,1,3,6,5,2] => [1,4,6,2,3,5] => [2,5,1,4,6,3] => [5,2,4,6,1,3] => 2
[4,1,5,2,3,6] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,1,5,2,6,3] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,1,5,3,2,6] => [1,4,3,5,2,6] => [2,5,4,6,3,1] => [5,4,2,3,1,6] => 1
[4,1,5,3,6,2] => [1,4,3,5,6,2] => [2,5,4,6,1,3] => [2,5,1,4,3,6] => 1
[4,1,5,6,2,3] => [1,4,6,3,5,2] => [2,5,1,6,3,4] => [2,5,1,6,3,4] => 1
[4,1,5,6,3,2] => [1,4,6,2,3,5] => [2,5,1,4,6,3] => [5,2,4,6,1,3] => 2
[4,1,6,2,3,5] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => [2,5,3,4,1,6] => 1
[4,1,6,2,5,3] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => [2,5,3,4,1,6] => 1
[4,1,6,3,2,5] => [1,4,3,6,5,2] => [2,5,4,1,3,6] => [2,5,6,4,1,3] => 1
[4,1,6,3,5,2] => [1,4,3,6,2,5] => [2,5,4,1,6,3] => [2,1,5,4,3,6] => 1
[4,1,6,5,2,3] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [5,2,6,1,3,4] => 1
[4,1,6,5,3,2] => [1,4,5,3,6,2] => [2,5,6,4,1,3] => [2,5,4,1,3,6] => 1
[4,2,1,3,5,6] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [5,2,4,3,1,6] => 1
[4,2,1,3,6,5] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [5,2,4,3,1,6] => 1
[4,2,1,5,3,6] => [1,4,5,3,2,6] => [2,5,6,4,3,1] => [5,4,2,1,3,6] => 1
[4,2,1,5,6,3] => [1,4,5,6,3,2] => [2,5,6,1,3,4] => [2,5,6,1,3,4] => 1
[4,2,1,6,3,5] => [1,4,6,5,3,2] => [2,5,1,3,4,6] => [2,3,5,6,1,4] => 1
[4,2,1,6,5,3] => [1,4,6,3,2,5] => [2,5,1,6,4,3] => [5,2,1,4,3,6] => 1
[4,2,3,1,5,6] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,2,3,1,6,5] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,2,3,5,1,6] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [5,2,6,1,3,4] => 1
[4,2,3,5,6,1] => [1,4,5,6,2,3] => [2,5,6,1,4,3] => [5,2,4,1,3,6] => 2
[4,2,3,6,1,5] => [1,4,6,5,2,3] => [2,5,1,3,6,4] => [2,1,5,6,3,4] => 1
[4,2,3,6,5,1] => [1,4,6,2,3,5] => [2,5,1,4,6,3] => [5,2,4,6,1,3] => 2
[4,2,5,1,3,6] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,2,5,1,6,3] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,2,5,3,1,6] => [1,4,3,5,2,6] => [2,5,4,6,3,1] => [5,4,2,3,1,6] => 1
[4,2,5,3,6,1] => [1,4,3,5,6,2] => [2,5,4,6,1,3] => [2,5,1,4,3,6] => 1
[4,2,5,6,1,3] => [1,4,6,3,5,2] => [2,5,1,6,3,4] => [2,5,1,6,3,4] => 1
[4,2,5,6,3,1] => [1,4,6,2,3,5] => [2,5,1,4,6,3] => [5,2,4,6,1,3] => 2
[4,2,6,1,3,5] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => [2,5,3,4,1,6] => 1
[4,2,6,1,5,3] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => [2,5,3,4,1,6] => 1
[4,2,6,3,1,5] => [1,4,3,6,5,2] => [2,5,4,1,3,6] => [2,5,6,4,1,3] => 1
[4,2,6,3,5,1] => [1,4,3,6,2,5] => [2,5,4,1,6,3] => [2,1,5,4,3,6] => 1
[4,2,6,5,1,3] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [5,2,6,1,3,4] => 1
[4,2,6,5,3,1] => [1,4,5,3,6,2] => [2,5,6,4,1,3] => [2,5,4,1,3,6] => 1
[4,3,1,2,5,6] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,3,1,2,6,5] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,3,1,5,2,6] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [5,2,6,1,3,4] => 1
[4,3,1,5,6,2] => [1,4,5,6,2,3] => [2,5,6,1,4,3] => [5,2,4,1,3,6] => 2
[4,3,1,6,2,5] => [1,4,6,5,2,3] => [2,5,1,3,6,4] => [2,1,5,6,3,4] => 1
[4,3,1,6,5,2] => [1,4,6,2,3,5] => [2,5,1,4,6,3] => [5,2,4,6,1,3] => 2
[4,3,2,1,5,6] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,3,2,1,6,5] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,3,2,5,1,6] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [5,2,6,1,3,4] => 1
[4,3,2,5,6,1] => [1,4,5,6,2,3] => [2,5,6,1,4,3] => [5,2,4,1,3,6] => 2
[4,3,2,6,1,5] => [1,4,6,5,2,3] => [2,5,1,3,6,4] => [2,1,5,6,3,4] => 1
[4,3,2,6,5,1] => [1,4,6,2,3,5] => [2,5,1,4,6,3] => [5,2,4,6,1,3] => 2
[4,3,5,1,2,6] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,3,5,1,6,2] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,3,5,2,1,6] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,3,5,2,6,1] => [1,4,2,3,5,6] => [2,5,3,4,6,1] => [5,2,3,4,1,6] => 1
[4,3,5,6,1,2] => [1,4,6,2,3,5] => [2,5,1,4,6,3] => [5,2,4,6,1,3] => 2
[4,3,5,6,2,1] => [1,4,6,2,3,5] => [2,5,1,4,6,3] => [5,2,4,6,1,3] => 2
[4,3,6,1,2,5] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => [2,5,3,4,1,6] => 1
[4,3,6,1,5,2] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => [2,5,3,4,1,6] => 1
[4,3,6,2,1,5] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => [2,5,3,4,1,6] => 1
[4,3,6,2,5,1] => [1,4,2,3,6,5] => [2,5,3,4,1,6] => [2,5,3,4,1,6] => 1
[4,3,6,5,1,2] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [5,2,6,1,3,4] => 1
[4,3,6,5,2,1] => [1,4,5,2,3,6] => [2,5,6,3,4,1] => [5,2,6,1,3,4] => 1
[4,5,1,2,3,6] => [1,4,2,5,3,6] => [2,5,3,6,4,1] => [5,2,1,6,3,4] => 1
[4,5,1,2,6,3] => [1,4,2,5,6,3] => [2,5,3,6,1,4] => [5,6,2,3,1,4] => 1
[4,5,1,3,2,6] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [5,2,4,3,1,6] => 1
[4,5,1,3,6,2] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [5,2,4,3,1,6] => 1
[4,5,1,6,2,3] => [1,4,6,3,2,5] => [2,5,1,6,4,3] => [5,2,1,4,3,6] => 1
[4,5,1,6,3,2] => [1,4,6,2,5,3] => [2,5,1,4,3,6] => [2,5,4,6,1,3] => 1
[4,5,2,1,3,6] => [1,4,2,5,3,6] => [2,5,3,6,4,1] => [5,2,1,6,3,4] => 1
[4,5,2,1,6,3] => [1,4,2,5,6,3] => [2,5,3,6,1,4] => [5,6,2,3,1,4] => 1
[4,5,2,3,1,6] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [5,2,4,3,1,6] => 1
[4,5,2,3,6,1] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [5,2,4,3,1,6] => 1
[4,5,2,6,1,3] => [1,4,6,3,2,5] => [2,5,1,6,4,3] => [5,2,1,4,3,6] => 1
[4,5,2,6,3,1] => [1,4,6,2,5,3] => [2,5,1,4,3,6] => [2,5,4,6,1,3] => 1
[4,5,3,1,2,6] => [1,4,2,5,3,6] => [2,5,3,6,4,1] => [5,2,1,6,3,4] => 1
[4,5,3,1,6,2] => [1,4,2,5,6,3] => [2,5,3,6,1,4] => [5,6,2,3,1,4] => 1
[4,5,3,2,1,6] => [1,4,2,5,3,6] => [2,5,3,6,4,1] => [5,2,1,6,3,4] => 1
[4,5,3,2,6,1] => [1,4,2,5,6,3] => [2,5,3,6,1,4] => [5,6,2,3,1,4] => 1
[4,5,3,6,1,2] => [1,4,6,2,5,3] => [2,5,1,4,3,6] => [2,5,4,6,1,3] => 1
[4,5,3,6,2,1] => [1,4,6,2,5,3] => [2,5,1,4,3,6] => [2,5,4,6,1,3] => 1
[4,5,6,1,2,3] => [1,4,2,5,3,6] => [2,5,3,6,4,1] => [5,2,1,6,3,4] => 1
[4,5,6,1,3,2] => [1,4,2,5,3,6] => [2,5,3,6,4,1] => [5,2,1,6,3,4] => 1
[4,5,6,2,1,3] => [1,4,2,5,3,6] => [2,5,3,6,4,1] => [5,2,1,6,3,4] => 1
[4,5,6,2,3,1] => [1,4,2,5,3,6] => [2,5,3,6,4,1] => [5,2,1,6,3,4] => 1
[4,5,6,3,1,2] => [1,4,3,6,2,5] => [2,5,4,1,6,3] => [2,1,5,4,3,6] => 1
[4,5,6,3,2,1] => [1,4,3,6,2,5] => [2,5,4,1,6,3] => [2,1,5,4,3,6] => 1
[4,6,1,2,3,5] => [1,4,2,6,5,3] => [2,5,3,1,4,6] => [2,3,5,4,1,6] => 1
[4,6,1,2,5,3] => [1,4,2,6,3,5] => [2,5,3,1,6,4] => [5,2,6,3,1,4] => 2
[4,6,1,3,2,5] => [1,4,3,2,6,5] => [2,5,4,3,1,6] => [2,5,4,3,1,6] => 1
[4,6,1,3,5,2] => [1,4,3,2,6,5] => [2,5,4,3,1,6] => [2,5,4,3,1,6] => 1
[4,6,1,5,2,3] => [1,4,5,2,6,3] => [2,5,6,3,1,4] => [5,6,2,1,3,4] => 1
[4,6,1,5,3,2] => [1,4,5,3,2,6] => [2,5,6,4,3,1] => [5,4,2,1,3,6] => 1
[4,6,2,1,3,5] => [1,4,2,6,5,3] => [2,5,3,1,4,6] => [2,3,5,4,1,6] => 1
[4,6,2,1,5,3] => [1,4,2,6,3,5] => [2,5,3,1,6,4] => [5,2,6,3,1,4] => 2
[4,6,2,3,1,5] => [1,4,3,2,6,5] => [2,5,4,3,1,6] => [2,5,4,3,1,6] => 1
[4,6,2,3,5,1] => [1,4,3,2,6,5] => [2,5,4,3,1,6] => [2,5,4,3,1,6] => 1
[4,6,2,5,1,3] => [1,4,5,2,6,3] => [2,5,6,3,1,4] => [5,6,2,1,3,4] => 1
[4,6,2,5,3,1] => [1,4,5,3,2,6] => [2,5,6,4,3,1] => [5,4,2,1,3,6] => 1
[4,6,3,1,2,5] => [1,4,2,6,5,3] => [2,5,3,1,4,6] => [2,3,5,4,1,6] => 1
[4,6,3,1,5,2] => [1,4,2,6,3,5] => [2,5,3,1,6,4] => [5,2,6,3,1,4] => 2
[4,6,3,2,1,5] => [1,4,2,6,5,3] => [2,5,3,1,4,6] => [2,3,5,4,1,6] => 1
[4,6,3,2,5,1] => [1,4,2,6,3,5] => [2,5,3,1,6,4] => [5,2,6,3,1,4] => 2
[4,6,3,5,1,2] => [1,4,5,2,6,3] => [2,5,6,3,1,4] => [5,6,2,1,3,4] => 1
[4,6,3,5,2,1] => [1,4,5,2,6,3] => [2,5,6,3,1,4] => [5,6,2,1,3,4] => 1
[4,6,5,1,2,3] => [1,4,2,6,3,5] => [2,5,3,1,6,4] => [5,2,6,3,1,4] => 2
[4,6,5,1,3,2] => [1,4,2,6,3,5] => [2,5,3,1,6,4] => [5,2,6,3,1,4] => 2
[4,6,5,2,1,3] => [1,4,2,6,3,5] => [2,5,3,1,6,4] => [5,2,6,3,1,4] => 2
[4,6,5,2,3,1] => [1,4,2,6,3,5] => [2,5,3,1,6,4] => [5,2,6,3,1,4] => 2
[4,6,5,3,1,2] => [1,4,3,5,2,6] => [2,5,4,6,3,1] => [5,4,2,3,1,6] => 1
[4,6,5,3,2,1] => [1,4,3,5,2,6] => [2,5,4,6,3,1] => [5,4,2,3,1,6] => 1
[5,1,2,3,4,6] => [1,5,4,3,2,6] => [2,6,5,4,3,1] => [6,5,4,2,1,3] => 1
[5,1,2,3,6,4] => [1,5,6,4,3,2] => [2,6,1,3,4,5] => [2,3,4,6,1,5] => 1
[5,1,2,4,3,6] => [1,5,3,2,4,6] => [2,6,4,3,5,1] => [6,2,4,3,1,5] => 1
[5,1,2,4,6,3] => [1,5,6,3,2,4] => [2,6,1,5,4,3] => [6,5,2,4,1,3] => 1
[5,1,2,6,3,4] => [1,5,3,2,4,6] => [2,6,4,3,5,1] => [6,2,4,3,1,5] => 1
[5,1,2,6,4,3] => [1,5,4,6,3,2] => [2,6,5,1,3,4] => [2,3,6,5,1,4] => 1
[5,1,3,2,4,6] => [1,5,4,2,3,6] => [2,6,5,3,4,1] => [6,2,5,3,1,4] => 2
[5,1,3,2,6,4] => [1,5,6,4,2,3] => [2,6,1,3,5,4] => [6,2,3,5,1,4] => 1
[5,1,3,4,2,6] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,1,3,4,6,2] => [1,5,6,2,3,4] => [2,6,1,4,5,3] => [6,2,4,5,1,3] => 1
[5,1,3,6,2,4] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,1,3,6,4,2] => [1,5,4,6,2,3] => [2,6,5,1,4,3] => [6,2,5,4,1,3] => 1
[5,1,4,2,3,6] => [1,5,3,4,2,6] => [2,6,4,5,3,1] => [6,4,2,3,1,5] => 1
[5,1,4,2,6,3] => [1,5,6,3,4,2] => [2,6,1,5,3,4] => [2,6,3,5,1,4] => 2
[5,1,4,3,2,6] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,1,4,3,6,2] => [1,5,6,2,3,4] => [2,6,1,4,5,3] => [6,2,4,5,1,3] => 1
[5,1,4,6,2,3] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,1,4,6,3,2] => [1,5,3,4,6,2] => [2,6,4,5,1,3] => [2,6,1,4,3,5] => 1
[5,1,6,2,3,4] => [1,5,3,6,4,2] => [2,6,4,1,3,5] => [2,4,6,5,1,3] => 1
[5,1,6,2,4,3] => [1,5,4,2,3,6] => [2,6,5,3,4,1] => [6,2,5,3,1,4] => 2
[5,1,6,3,2,4] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => [2,6,3,4,1,5] => 1
[5,1,6,3,4,2] => [1,5,4,3,6,2] => [2,6,5,4,1,3] => [2,6,5,4,1,3] => 1
[5,1,6,4,2,3] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => [2,6,3,4,1,5] => 1
[5,1,6,4,3,2] => [1,5,3,6,2,4] => [2,6,4,1,5,3] => [2,1,6,4,3,5] => 1
[5,2,1,3,4,6] => [1,5,4,3,2,6] => [2,6,5,4,3,1] => [6,5,4,2,1,3] => 1
[5,2,1,3,6,4] => [1,5,6,4,3,2] => [2,6,1,3,4,5] => [2,3,4,6,1,5] => 1
[5,2,1,4,3,6] => [1,5,3,2,4,6] => [2,6,4,3,5,1] => [6,2,4,3,1,5] => 1
[5,2,1,4,6,3] => [1,5,6,3,2,4] => [2,6,1,5,4,3] => [6,5,2,4,1,3] => 1
[5,2,1,6,3,4] => [1,5,3,2,4,6] => [2,6,4,3,5,1] => [6,2,4,3,1,5] => 1
[5,2,1,6,4,3] => [1,5,4,6,3,2] => [2,6,5,1,3,4] => [2,3,6,5,1,4] => 1
[5,2,3,1,4,6] => [1,5,4,2,3,6] => [2,6,5,3,4,1] => [6,2,5,3,1,4] => 2
[5,2,3,1,6,4] => [1,5,6,4,2,3] => [2,6,1,3,5,4] => [6,2,3,5,1,4] => 1
[5,2,3,4,1,6] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,2,3,4,6,1] => [1,5,6,2,3,4] => [2,6,1,4,5,3] => [6,2,4,5,1,3] => 1
[5,2,3,6,1,4] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,2,3,6,4,1] => [1,5,4,6,2,3] => [2,6,5,1,4,3] => [6,2,5,4,1,3] => 1
[5,2,4,1,3,6] => [1,5,3,4,2,6] => [2,6,4,5,3,1] => [6,4,2,3,1,5] => 1
[5,2,4,1,6,3] => [1,5,6,3,4,2] => [2,6,1,5,3,4] => [2,6,3,5,1,4] => 2
[5,2,4,3,1,6] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,2,4,3,6,1] => [1,5,6,2,3,4] => [2,6,1,4,5,3] => [6,2,4,5,1,3] => 1
[5,2,4,6,1,3] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,2,4,6,3,1] => [1,5,3,4,6,2] => [2,6,4,5,1,3] => [2,6,1,4,3,5] => 1
[5,2,6,1,3,4] => [1,5,3,6,4,2] => [2,6,4,1,3,5] => [2,4,6,5,1,3] => 1
[5,2,6,1,4,3] => [1,5,4,2,3,6] => [2,6,5,3,4,1] => [6,2,5,3,1,4] => 2
[5,2,6,3,1,4] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => [2,6,3,4,1,5] => 1
[5,2,6,3,4,1] => [1,5,4,3,6,2] => [2,6,5,4,1,3] => [2,6,5,4,1,3] => 1
[5,2,6,4,1,3] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => [2,6,3,4,1,5] => 1
[5,2,6,4,3,1] => [1,5,3,6,2,4] => [2,6,4,1,5,3] => [2,1,6,4,3,5] => 1
[5,3,1,2,4,6] => [1,5,4,2,3,6] => [2,6,5,3,4,1] => [6,2,5,3,1,4] => 2
[5,3,1,2,6,4] => [1,5,6,4,2,3] => [2,6,1,3,5,4] => [6,2,3,5,1,4] => 1
[5,3,1,4,2,6] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,3,1,4,6,2] => [1,5,6,2,3,4] => [2,6,1,4,5,3] => [6,2,4,5,1,3] => 1
[5,3,1,6,2,4] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,3,1,6,4,2] => [1,5,4,6,2,3] => [2,6,5,1,4,3] => [6,2,5,4,1,3] => 1
[5,3,2,1,4,6] => [1,5,4,2,3,6] => [2,6,5,3,4,1] => [6,2,5,3,1,4] => 2
[5,3,2,1,6,4] => [1,5,6,4,2,3] => [2,6,1,3,5,4] => [6,2,3,5,1,4] => 1
[5,3,2,4,1,6] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,3,2,4,6,1] => [1,5,6,2,3,4] => [2,6,1,4,5,3] => [6,2,4,5,1,3] => 1
[5,3,2,6,1,4] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,3,2,6,4,1] => [1,5,4,6,2,3] => [2,6,5,1,4,3] => [6,2,5,4,1,3] => 1
[5,3,4,1,2,6] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,3,4,1,6,2] => [1,5,6,2,3,4] => [2,6,1,4,5,3] => [6,2,4,5,1,3] => 1
[5,3,4,2,1,6] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,3,4,2,6,1] => [1,5,6,2,3,4] => [2,6,1,4,5,3] => [6,2,4,5,1,3] => 1
[5,3,4,6,1,2] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,3,4,6,2,1] => [1,5,2,3,4,6] => [2,6,3,4,5,1] => [6,2,3,4,1,5] => 1
[5,3,6,1,2,4] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => [2,6,3,4,1,5] => 1
[5,3,6,1,4,2] => [1,5,4,2,3,6] => [2,6,5,3,4,1] => [6,2,5,3,1,4] => 2
[5,3,6,2,1,4] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => [2,6,3,4,1,5] => 1
[5,3,6,2,4,1] => [1,5,4,2,3,6] => [2,6,5,3,4,1] => [6,2,5,3,1,4] => 2
[5,3,6,4,1,2] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => [2,6,3,4,1,5] => 1
[5,3,6,4,2,1] => [1,5,2,3,6,4] => [2,6,3,4,1,5] => [2,6,3,4,1,5] => 1
[5,4,1,2,3,6] => [1,5,3,2,4,6] => [2,6,4,3,5,1] => [6,2,4,3,1,5] => 1
[5,4,1,2,6,3] => [1,5,6,3,2,4] => [2,6,1,5,4,3] => [6,5,2,4,1,3] => 1
[5,4,1,3,2,6] => [1,5,2,4,3,6] => [2,6,3,5,4,1] => [6,5,2,3,1,4] => 1
[5,4,1,3,6,2] => [1,5,6,2,4,3] => [2,6,1,4,3,5] => [2,6,4,5,1,3] => 1
[5,4,1,6,2,3] => [1,5,2,4,6,3] => [2,6,3,5,1,4] => [2,6,1,5,3,4] => 1
[5,4,1,6,3,2] => [1,5,3,2,4,6] => [2,6,4,3,5,1] => [6,2,4,3,1,5] => 1
[5,4,2,1,3,6] => [1,5,3,2,4,6] => [2,6,4,3,5,1] => [6,2,4,3,1,5] => 1
[5,4,2,1,6,3] => [1,5,6,3,2,4] => [2,6,1,5,4,3] => [6,5,2,4,1,3] => 1
[5,4,2,3,1,6] => [1,5,2,4,3,6] => [2,6,3,5,4,1] => [6,5,2,3,1,4] => 1
[5,4,2,3,6,1] => [1,5,6,2,4,3] => [2,6,1,4,3,5] => [2,6,4,5,1,3] => 1
[5,4,2,6,1,3] => [1,5,2,4,6,3] => [2,6,3,5,1,4] => [2,6,1,5,3,4] => 1
[5,4,2,6,3,1] => [1,5,3,2,4,6] => [2,6,4,3,5,1] => [6,2,4,3,1,5] => 1
[5,4,3,1,2,6] => [1,5,2,4,3,6] => [2,6,3,5,4,1] => [6,5,2,3,1,4] => 1
[5,4,3,1,6,2] => [1,5,6,2,4,3] => [2,6,1,4,3,5] => [2,6,4,5,1,3] => 1
[5,4,3,2,1,6] => [1,5,2,4,3,6] => [2,6,3,5,4,1] => [6,5,2,3,1,4] => 1
[5,4,3,2,6,1] => [1,5,6,2,4,3] => [2,6,1,4,3,5] => [2,6,4,5,1,3] => 1
[5,4,3,6,1,2] => [1,5,2,4,6,3] => [2,6,3,5,1,4] => [2,6,1,5,3,4] => 1
[5,4,3,6,2,1] => [1,5,2,4,6,3] => [2,6,3,5,1,4] => [2,6,1,5,3,4] => 1
[5,4,6,1,2,3] => [1,5,2,4,3,6] => [2,6,3,5,4,1] => [6,5,2,3,1,4] => 1
[5,4,6,1,3,2] => [1,5,3,6,2,4] => [2,6,4,1,5,3] => [2,1,6,4,3,5] => 1
[5,4,6,2,1,3] => [1,5,2,4,3,6] => [2,6,3,5,4,1] => [6,5,2,3,1,4] => 1
[5,4,6,2,3,1] => [1,5,3,6,2,4] => [2,6,4,1,5,3] => [2,1,6,4,3,5] => 1
[5,4,6,3,1,2] => [1,5,2,4,3,6] => [2,6,3,5,4,1] => [6,5,2,3,1,4] => 1
[5,4,6,3,2,1] => [1,5,2,4,3,6] => [2,6,3,5,4,1] => [6,5,2,3,1,4] => 1
[5,6,1,2,3,4] => [1,5,3,2,6,4] => [2,6,4,3,1,5] => [2,6,4,3,1,5] => 1
[5,6,1,2,4,3] => [1,5,4,2,6,3] => [2,6,5,3,1,4] => [2,6,5,3,1,4] => 1
[5,6,1,3,2,4] => [1,5,2,6,4,3] => [2,6,3,1,4,5] => [2,3,6,4,1,5] => 1
[5,6,1,3,4,2] => [1,5,4,3,2,6] => [2,6,5,4,3,1] => [6,5,4,2,1,3] => 1
[5,6,1,4,2,3] => [1,5,2,6,3,4] => [2,6,3,1,5,4] => [2,1,6,5,3,4] => 1
[5,6,1,4,3,2] => [1,5,3,2,6,4] => [2,6,4,3,1,5] => [2,6,4,3,1,5] => 1
[5,6,2,1,3,4] => [1,5,3,2,6,4] => [2,6,4,3,1,5] => [2,6,4,3,1,5] => 1
[5,6,2,1,4,3] => [1,5,4,2,6,3] => [2,6,5,3,1,4] => [2,6,5,3,1,4] => 1
[5,6,2,3,1,4] => [1,5,2,6,4,3] => [2,6,3,1,4,5] => [2,3,6,4,1,5] => 1
[5,6,2,3,4,1] => [1,5,4,3,2,6] => [2,6,5,4,3,1] => [6,5,4,2,1,3] => 1
[5,6,2,4,1,3] => [1,5,2,6,3,4] => [2,6,3,1,5,4] => [2,1,6,5,3,4] => 1
[5,6,2,4,3,1] => [1,5,3,2,6,4] => [2,6,4,3,1,5] => [2,6,4,3,1,5] => 1
[5,6,3,1,2,4] => [1,5,2,6,4,3] => [2,6,3,1,4,5] => [2,3,6,4,1,5] => 1
[5,6,3,1,4,2] => [1,5,4,2,6,3] => [2,6,5,3,1,4] => [2,6,5,3,1,4] => 1
[5,6,3,2,1,4] => [1,5,2,6,4,3] => [2,6,3,1,4,5] => [2,3,6,4,1,5] => 1
[5,6,3,2,4,1] => [1,5,4,2,6,3] => [2,6,5,3,1,4] => [2,6,5,3,1,4] => 1
[5,6,3,4,1,2] => [1,5,2,6,3,4] => [2,6,3,1,5,4] => [2,1,6,5,3,4] => 1
[5,6,3,4,2,1] => [1,5,2,6,3,4] => [2,6,3,1,5,4] => [2,1,6,5,3,4] => 1
[5,6,4,1,2,3] => [1,5,2,6,3,4] => [2,6,3,1,5,4] => [2,1,6,5,3,4] => 1
[5,6,4,1,3,2] => [1,5,3,4,2,6] => [2,6,4,5,3,1] => [6,4,2,3,1,5] => 1
[5,6,4,2,1,3] => [1,5,2,6,3,4] => [2,6,3,1,5,4] => [2,1,6,5,3,4] => 1
[5,6,4,2,3,1] => [1,5,3,4,2,6] => [2,6,4,5,3,1] => [6,4,2,3,1,5] => 1
[5,6,4,3,1,2] => [1,5,2,6,3,4] => [2,6,3,1,5,4] => [2,1,6,5,3,4] => 1
[5,6,4,3,2,1] => [1,5,2,6,3,4] => [2,6,3,1,5,4] => [2,1,6,5,3,4] => 1
[6,1,2,3,4,5] => [1,6,5,4,3,2] => [2,1,3,4,5,6] => [2,3,4,5,6,1] => 1
[6,1,2,3,5,4] => [1,6,4,3,2,5] => [2,1,6,5,4,3] => [6,5,2,1,4,3] => 1
[6,1,2,4,3,5] => [1,6,5,3,2,4] => [2,1,3,6,5,4] => [6,2,1,3,5,4] => 1
[6,1,2,4,5,3] => [1,6,3,2,4,5] => [2,1,5,4,6,3] => [5,2,4,1,6,3] => 2
[6,1,2,5,3,4] => [1,6,4,5,3,2] => [2,1,6,3,4,5] => [2,3,4,1,6,5] => 1
[6,1,2,5,4,3] => [1,6,3,2,4,5] => [2,1,5,4,6,3] => [5,2,4,1,6,3] => 2
[6,1,3,2,4,5] => [1,6,5,4,2,3] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => 1
[6,1,3,2,5,4] => [1,6,4,2,3,5] => [2,1,6,4,5,3] => [6,2,4,1,5,3] => 2
[6,1,3,4,2,5] => [1,6,5,2,3,4] => [2,1,3,5,6,4] => [2,1,3,5,6,4] => 1
[6,1,3,4,5,2] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,1,3,5,2,4] => [1,6,4,5,2,3] => [2,1,6,3,5,4] => [6,2,3,1,5,4] => 1
[6,1,3,5,4,2] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,1,4,2,3,5] => [1,6,5,3,4,2] => [2,1,3,6,4,5] => [2,3,1,4,6,5] => 1
[6,1,4,2,5,3] => [1,6,3,4,2,5] => [2,1,5,6,4,3] => [5,2,1,4,6,3] => 1
[6,1,4,3,2,5] => [1,6,5,2,3,4] => [2,1,3,5,6,4] => [2,1,3,5,6,4] => 1
[6,1,4,3,5,2] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,1,4,5,2,3] => [1,6,3,4,5,2] => [2,1,5,6,3,4] => [2,5,1,3,6,4] => 2
[6,1,4,5,3,2] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,1,5,2,3,4] => [1,6,4,2,3,5] => [2,1,6,4,5,3] => [6,2,4,1,5,3] => 2
[6,1,5,2,4,3] => [1,6,3,5,4,2] => [2,1,5,3,4,6] => [2,3,5,1,6,4] => 1
[6,1,5,3,2,4] => [1,6,4,3,5,2] => [2,1,6,5,3,4] => [2,6,3,1,5,4] => 1
[6,1,5,3,4,2] => [1,6,2,3,5,4] => [2,1,4,5,3,6] => [2,4,1,5,6,3] => 1
[6,1,5,4,2,3] => [1,6,3,5,2,4] => [2,1,5,3,6,4] => [2,1,5,3,6,4] => 1
[6,1,5,4,3,2] => [1,6,2,3,5,4] => [2,1,4,5,3,6] => [2,4,1,5,6,3] => 1
[6,2,1,3,4,5] => [1,6,5,4,3,2] => [2,1,3,4,5,6] => [2,3,4,5,6,1] => 1
[6,2,1,3,5,4] => [1,6,4,3,2,5] => [2,1,6,5,4,3] => [6,5,2,1,4,3] => 1
[6,2,1,4,3,5] => [1,6,5,3,2,4] => [2,1,3,6,5,4] => [6,2,1,3,5,4] => 1
[6,2,1,4,5,3] => [1,6,3,2,4,5] => [2,1,5,4,6,3] => [5,2,4,1,6,3] => 2
[6,2,1,5,3,4] => [1,6,4,5,3,2] => [2,1,6,3,4,5] => [2,3,4,1,6,5] => 1
[6,2,1,5,4,3] => [1,6,3,2,4,5] => [2,1,5,4,6,3] => [5,2,4,1,6,3] => 2
[6,2,3,1,4,5] => [1,6,5,4,2,3] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => 1
[6,2,3,1,5,4] => [1,6,4,2,3,5] => [2,1,6,4,5,3] => [6,2,4,1,5,3] => 2
[6,2,3,4,1,5] => [1,6,5,2,3,4] => [2,1,3,5,6,4] => [2,1,3,5,6,4] => 1
[6,2,3,4,5,1] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,2,3,5,1,4] => [1,6,4,5,2,3] => [2,1,6,3,5,4] => [6,2,3,1,5,4] => 1
[6,2,3,5,4,1] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,2,4,1,3,5] => [1,6,5,3,4,2] => [2,1,3,6,4,5] => [2,3,1,4,6,5] => 1
[6,2,4,1,5,3] => [1,6,3,4,2,5] => [2,1,5,6,4,3] => [5,2,1,4,6,3] => 1
[6,2,4,3,1,5] => [1,6,5,2,3,4] => [2,1,3,5,6,4] => [2,1,3,5,6,4] => 1
[6,2,4,3,5,1] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,2,4,5,1,3] => [1,6,3,4,5,2] => [2,1,5,6,3,4] => [2,5,1,3,6,4] => 2
[6,2,4,5,3,1] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,2,5,1,3,4] => [1,6,4,2,3,5] => [2,1,6,4,5,3] => [6,2,4,1,5,3] => 2
[6,2,5,1,4,3] => [1,6,3,5,4,2] => [2,1,5,3,4,6] => [2,3,5,1,6,4] => 1
[6,2,5,3,1,4] => [1,6,4,3,5,2] => [2,1,6,5,3,4] => [2,6,3,1,5,4] => 1
[6,2,5,3,4,1] => [1,6,2,3,5,4] => [2,1,4,5,3,6] => [2,4,1,5,6,3] => 1
[6,2,5,4,1,3] => [1,6,3,5,2,4] => [2,1,5,3,6,4] => [2,1,5,3,6,4] => 1
[6,2,5,4,3,1] => [1,6,2,3,5,4] => [2,1,4,5,3,6] => [2,4,1,5,6,3] => 1
[6,3,1,2,4,5] => [1,6,5,4,2,3] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => 1
[6,3,1,2,5,4] => [1,6,4,2,3,5] => [2,1,6,4,5,3] => [6,2,4,1,5,3] => 2
[6,3,1,4,2,5] => [1,6,5,2,3,4] => [2,1,3,5,6,4] => [2,1,3,5,6,4] => 1
[6,3,1,4,5,2] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,3,1,5,2,4] => [1,6,4,5,2,3] => [2,1,6,3,5,4] => [6,2,3,1,5,4] => 1
[6,3,1,5,4,2] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,3,2,1,4,5] => [1,6,5,4,2,3] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => 1
[6,3,2,1,5,4] => [1,6,4,2,3,5] => [2,1,6,4,5,3] => [6,2,4,1,5,3] => 2
[6,3,2,4,1,5] => [1,6,5,2,3,4] => [2,1,3,5,6,4] => [2,1,3,5,6,4] => 1
[6,3,2,4,5,1] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,3,2,5,1,4] => [1,6,4,5,2,3] => [2,1,6,3,5,4] => [6,2,3,1,5,4] => 1
[6,3,2,5,4,1] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,3,4,1,2,5] => [1,6,5,2,3,4] => [2,1,3,5,6,4] => [2,1,3,5,6,4] => 1
[6,3,4,1,5,2] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,3,4,2,1,5] => [1,6,5,2,3,4] => [2,1,3,5,6,4] => [2,1,3,5,6,4] => 1
[6,3,4,2,5,1] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,3,4,5,1,2] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,3,4,5,2,1] => [1,6,2,3,4,5] => [2,1,4,5,6,3] => [2,1,4,5,6,3] => 1
[6,3,5,1,2,4] => [1,6,4,2,3,5] => [2,1,6,4,5,3] => [6,2,4,1,5,3] => 2
[6,3,5,1,4,2] => [1,6,2,3,5,4] => [2,1,4,5,3,6] => [2,4,1,5,6,3] => 1
[6,3,5,2,1,4] => [1,6,4,2,3,5] => [2,1,6,4,5,3] => [6,2,4,1,5,3] => 2
[6,3,5,2,4,1] => [1,6,2,3,5,4] => [2,1,4,5,3,6] => [2,4,1,5,6,3] => 1
[6,3,5,4,1,2] => [1,6,2,3,5,4] => [2,1,4,5,3,6] => [2,4,1,5,6,3] => 1
[6,3,5,4,2,1] => [1,6,2,3,5,4] => [2,1,4,5,3,6] => [2,4,1,5,6,3] => 1
[6,4,1,2,3,5] => [1,6,5,3,2,4] => [2,1,3,6,5,4] => [6,2,1,3,5,4] => 1
[6,4,1,2,5,3] => [1,6,3,2,4,5] => [2,1,5,4,6,3] => [5,2,4,1,6,3] => 2
[6,4,1,3,2,5] => [1,6,5,2,4,3] => [2,1,3,5,4,6] => [2,3,1,5,6,4] => 1
[6,4,1,3,5,2] => [1,6,2,4,3,5] => [2,1,4,6,5,3] => [6,2,1,4,5,3] => 1
[6,4,1,5,2,3] => [1,6,3,2,4,5] => [2,1,5,4,6,3] => [5,2,4,1,6,3] => 2
[6,4,1,5,3,2] => [1,6,2,4,5,3] => [2,1,4,6,3,5] => [2,4,1,3,6,5] => 1
[6,4,2,1,3,5] => [1,6,5,3,2,4] => [2,1,3,6,5,4] => [6,2,1,3,5,4] => 1
[6,4,2,1,5,3] => [1,6,3,2,4,5] => [2,1,5,4,6,3] => [5,2,4,1,6,3] => 2
[6,4,2,3,1,5] => [1,6,5,2,4,3] => [2,1,3,5,4,6] => [2,3,1,5,6,4] => 1
[6,4,2,3,5,1] => [1,6,2,4,3,5] => [2,1,4,6,5,3] => [6,2,1,4,5,3] => 1
[6,4,2,5,1,3] => [1,6,3,2,4,5] => [2,1,5,4,6,3] => [5,2,4,1,6,3] => 2
[6,4,2,5,3,1] => [1,6,2,4,5,3] => [2,1,4,6,3,5] => [2,4,1,3,6,5] => 1
[6,4,3,1,2,5] => [1,6,5,2,4,3] => [2,1,3,5,4,6] => [2,3,1,5,6,4] => 1
[6,4,3,1,5,2] => [1,6,2,4,3,5] => [2,1,4,6,5,3] => [6,2,1,4,5,3] => 1
[6,4,3,2,1,5] => [1,6,5,2,4,3] => [2,1,3,5,4,6] => [2,3,1,5,6,4] => 1
[6,4,3,2,5,1] => [1,6,2,4,3,5] => [2,1,4,6,5,3] => [6,2,1,4,5,3] => 1
[6,4,3,5,1,2] => [1,6,2,4,5,3] => [2,1,4,6,3,5] => [2,4,1,3,6,5] => 1
[6,4,3,5,2,1] => [1,6,2,4,5,3] => [2,1,4,6,3,5] => [2,4,1,3,6,5] => 1
[6,4,5,1,2,3] => [1,6,3,5,2,4] => [2,1,5,3,6,4] => [2,1,5,3,6,4] => 1
[6,4,5,1,3,2] => [1,6,2,4,3,5] => [2,1,4,6,5,3] => [6,2,1,4,5,3] => 1
[6,4,5,2,1,3] => [1,6,3,5,2,4] => [2,1,5,3,6,4] => [2,1,5,3,6,4] => 1
[6,4,5,2,3,1] => [1,6,2,4,3,5] => [2,1,4,6,5,3] => [6,2,1,4,5,3] => 1
[6,4,5,3,1,2] => [1,6,2,4,3,5] => [2,1,4,6,5,3] => [6,2,1,4,5,3] => 1
[6,4,5,3,2,1] => [1,6,2,4,3,5] => [2,1,4,6,5,3] => [6,2,1,4,5,3] => 1
[6,5,1,2,3,4] => [1,6,4,2,5,3] => [2,1,6,4,3,5] => [2,6,4,1,5,3] => 2
[6,5,1,2,4,3] => [1,6,3,2,5,4] => [2,1,5,4,3,6] => [2,5,4,1,6,3] => 1
[6,5,1,3,2,4] => [1,6,4,3,2,5] => [2,1,6,5,4,3] => [6,5,2,1,4,3] => 1
[6,5,1,3,4,2] => [1,6,2,5,4,3] => [2,1,4,3,5,6] => [2,4,5,1,6,3] => 1
[6,5,1,4,2,3] => [1,6,3,2,5,4] => [2,1,5,4,3,6] => [2,5,4,1,6,3] => 1
[6,5,1,4,3,2] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => 1
[6,5,2,1,3,4] => [1,6,4,2,5,3] => [2,1,6,4,3,5] => [2,6,4,1,5,3] => 2
[6,5,2,1,4,3] => [1,6,3,2,5,4] => [2,1,5,4,3,6] => [2,5,4,1,6,3] => 1
[6,5,2,3,1,4] => [1,6,4,3,2,5] => [2,1,6,5,4,3] => [6,5,2,1,4,3] => 1
[6,5,2,3,4,1] => [1,6,2,5,4,3] => [2,1,4,3,5,6] => [2,4,5,1,6,3] => 1
[6,5,2,4,1,3] => [1,6,3,2,5,4] => [2,1,5,4,3,6] => [2,5,4,1,6,3] => 1
[6,5,2,4,3,1] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => 1
[6,5,3,1,2,4] => [1,6,4,2,5,3] => [2,1,6,4,3,5] => [2,6,4,1,5,3] => 2
[6,5,3,1,4,2] => [1,6,2,5,4,3] => [2,1,4,3,5,6] => [2,4,5,1,6,3] => 1
[6,5,3,2,1,4] => [1,6,4,2,5,3] => [2,1,6,4,3,5] => [2,6,4,1,5,3] => 2
[6,5,3,2,4,1] => [1,6,2,5,4,3] => [2,1,4,3,5,6] => [2,4,5,1,6,3] => 1
[6,5,3,4,1,2] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => 1
[6,5,3,4,2,1] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => 1
[6,5,4,1,2,3] => [1,6,3,4,2,5] => [2,1,5,6,4,3] => [5,2,1,4,6,3] => 1
[6,5,4,1,3,2] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => 1
[6,5,4,2,1,3] => [1,6,3,4,2,5] => [2,1,5,6,4,3] => [5,2,1,4,6,3] => 1
[6,5,4,2,3,1] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => 1
[6,5,4,3,1,2] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => 1
[6,5,4,3,2,1] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => 1
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
22,2 106,14 630,90
$F_{2} = 2\ q$
$F_{3} = 6\ q$
$F_{4} = 22\ q + 2\ q^{2}$
$F_{5} = 106\ q + 14\ q^{2}$
$F_{6} = 630\ q + 90\ q^{2}$
Description
The minimum jump of a permutation.
This is $\min_i |\pi_{i+1}-\pi_i|$, see [1].
This is $\min_i |\pi_{i+1}-\pi_i|$, see [1].
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
cactus evacuation
Description
The cactus evacuation of a permutation.
This is the involution obtained by applying evacuation to the recording tableau, while preserving the insertion tableau.
This is the involution obtained by applying evacuation to the recording tableau, while preserving the insertion tableau.
Map
Lehmer code rotation
Description
Sends a permutation $\pi$ to the unique permutation $\tau$ (of the same length) such that every entry in the Lehmer code of $\tau$ is cyclically one larger than the Lehmer code of $\pi$.
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!