Identifier
-
Mp00068:
Permutations
—Simion-Schmidt map⟶
Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00068: Permutations —Simion-Schmidt map⟶ Permutations
St000355: Permutations ⟶ ℤ
Values
[1] => [1] => [1] => [1] => 0
[1,2] => [1,2] => [2,1] => [2,1] => 0
[2,1] => [2,1] => [1,2] => [1,2] => 0
[1,2,3] => [1,3,2] => [3,1,2] => [3,1,2] => 0
[1,3,2] => [1,3,2] => [3,1,2] => [3,1,2] => 0
[2,1,3] => [2,1,3] => [2,3,1] => [2,3,1] => 0
[2,3,1] => [2,3,1] => [2,1,3] => [2,1,3] => 1
[3,1,2] => [3,1,2] => [1,3,2] => [1,3,2] => 0
[3,2,1] => [3,2,1] => [1,2,3] => [1,3,2] => 0
[1,2,3,4] => [1,4,3,2] => [4,1,2,3] => [4,1,3,2] => 0
[1,2,4,3] => [1,4,3,2] => [4,1,2,3] => [4,1,3,2] => 0
[1,3,2,4] => [1,4,3,2] => [4,1,2,3] => [4,1,3,2] => 0
[1,3,4,2] => [1,4,3,2] => [4,1,2,3] => [4,1,3,2] => 0
[1,4,2,3] => [1,4,3,2] => [4,1,2,3] => [4,1,3,2] => 0
[1,4,3,2] => [1,4,3,2] => [4,1,2,3] => [4,1,3,2] => 0
[2,1,3,4] => [2,1,4,3] => [3,4,1,2] => [3,4,1,2] => 0
[2,1,4,3] => [2,1,4,3] => [3,4,1,2] => [3,4,1,2] => 0
[2,3,1,4] => [2,4,1,3] => [3,1,4,2] => [3,1,4,2] => 1
[2,3,4,1] => [2,4,3,1] => [3,1,2,4] => [3,1,4,2] => 1
[2,4,1,3] => [2,4,1,3] => [3,1,4,2] => [3,1,4,2] => 1
[2,4,3,1] => [2,4,3,1] => [3,1,2,4] => [3,1,4,2] => 1
[3,1,2,4] => [3,1,4,2] => [2,4,1,3] => [2,4,1,3] => 0
[3,1,4,2] => [3,1,4,2] => [2,4,1,3] => [2,4,1,3] => 0
[3,2,1,4] => [3,2,1,4] => [2,3,4,1] => [2,4,3,1] => 0
[3,2,4,1] => [3,2,4,1] => [2,3,1,4] => [2,4,1,3] => 0
[3,4,1,2] => [3,4,1,2] => [2,1,4,3] => [2,1,4,3] => 2
[3,4,2,1] => [3,4,2,1] => [2,1,3,4] => [2,1,4,3] => 2
[4,1,2,3] => [4,1,3,2] => [1,4,2,3] => [1,4,3,2] => 0
[4,1,3,2] => [4,1,3,2] => [1,4,2,3] => [1,4,3,2] => 0
[4,2,1,3] => [4,2,1,3] => [1,3,4,2] => [1,4,3,2] => 0
[4,2,3,1] => [4,2,3,1] => [1,3,2,4] => [1,4,3,2] => 0
[4,3,1,2] => [4,3,1,2] => [1,2,4,3] => [1,4,3,2] => 0
[4,3,2,1] => [4,3,2,1] => [1,2,3,4] => [1,4,3,2] => 0
[1,2,3,4,5] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,2,3,5,4] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,2,4,3,5] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,2,4,5,3] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,2,5,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,2,5,4,3] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,3,2,4,5] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,3,2,5,4] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,3,4,2,5] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,3,4,5,2] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,3,5,2,4] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,3,5,4,2] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,4,2,3,5] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,4,2,5,3] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,4,3,2,5] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,4,3,5,2] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,4,5,2,3] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,4,5,3,2] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,5,2,3,4] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,5,2,4,3] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,5,3,2,4] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,5,3,4,2] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,5,4,2,3] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[1,5,4,3,2] => [1,5,4,3,2] => [5,1,2,3,4] => [5,1,4,3,2] => 0
[2,1,3,4,5] => [2,1,5,4,3] => [4,5,1,2,3] => [4,5,1,3,2] => 0
[2,1,3,5,4] => [2,1,5,4,3] => [4,5,1,2,3] => [4,5,1,3,2] => 0
[2,1,4,3,5] => [2,1,5,4,3] => [4,5,1,2,3] => [4,5,1,3,2] => 0
[2,1,4,5,3] => [2,1,5,4,3] => [4,5,1,2,3] => [4,5,1,3,2] => 0
[2,1,5,3,4] => [2,1,5,4,3] => [4,5,1,2,3] => [4,5,1,3,2] => 0
[2,1,5,4,3] => [2,1,5,4,3] => [4,5,1,2,3] => [4,5,1,3,2] => 0
[2,3,1,4,5] => [2,5,1,4,3] => [4,1,5,2,3] => [4,1,5,3,2] => 1
[2,3,1,5,4] => [2,5,1,4,3] => [4,1,5,2,3] => [4,1,5,3,2] => 1
[2,3,4,1,5] => [2,5,4,1,3] => [4,1,2,5,3] => [4,1,5,3,2] => 1
[2,3,4,5,1] => [2,5,4,3,1] => [4,1,2,3,5] => [4,1,5,3,2] => 1
[2,3,5,1,4] => [2,5,4,1,3] => [4,1,2,5,3] => [4,1,5,3,2] => 1
[2,3,5,4,1] => [2,5,4,3,1] => [4,1,2,3,5] => [4,1,5,3,2] => 1
[2,4,1,3,5] => [2,5,1,4,3] => [4,1,5,2,3] => [4,1,5,3,2] => 1
[2,4,1,5,3] => [2,5,1,4,3] => [4,1,5,2,3] => [4,1,5,3,2] => 1
[2,4,3,1,5] => [2,5,4,1,3] => [4,1,2,5,3] => [4,1,5,3,2] => 1
[2,4,3,5,1] => [2,5,4,3,1] => [4,1,2,3,5] => [4,1,5,3,2] => 1
[2,4,5,1,3] => [2,5,4,1,3] => [4,1,2,5,3] => [4,1,5,3,2] => 1
[2,4,5,3,1] => [2,5,4,3,1] => [4,1,2,3,5] => [4,1,5,3,2] => 1
[2,5,1,3,4] => [2,5,1,4,3] => [4,1,5,2,3] => [4,1,5,3,2] => 1
[2,5,1,4,3] => [2,5,1,4,3] => [4,1,5,2,3] => [4,1,5,3,2] => 1
[2,5,3,1,4] => [2,5,4,1,3] => [4,1,2,5,3] => [4,1,5,3,2] => 1
[2,5,3,4,1] => [2,5,4,3,1] => [4,1,2,3,5] => [4,1,5,3,2] => 1
[2,5,4,1,3] => [2,5,4,1,3] => [4,1,2,5,3] => [4,1,5,3,2] => 1
[2,5,4,3,1] => [2,5,4,3,1] => [4,1,2,3,5] => [4,1,5,3,2] => 1
[3,1,2,4,5] => [3,1,5,4,2] => [3,5,1,2,4] => [3,5,1,4,2] => 0
[3,1,2,5,4] => [3,1,5,4,2] => [3,5,1,2,4] => [3,5,1,4,2] => 0
[3,1,4,2,5] => [3,1,5,4,2] => [3,5,1,2,4] => [3,5,1,4,2] => 0
[3,1,4,5,2] => [3,1,5,4,2] => [3,5,1,2,4] => [3,5,1,4,2] => 0
[3,1,5,2,4] => [3,1,5,4,2] => [3,5,1,2,4] => [3,5,1,4,2] => 0
[3,1,5,4,2] => [3,1,5,4,2] => [3,5,1,2,4] => [3,5,1,4,2] => 0
[3,2,1,4,5] => [3,2,1,5,4] => [3,4,5,1,2] => [3,5,4,1,2] => 0
[3,2,1,5,4] => [3,2,1,5,4] => [3,4,5,1,2] => [3,5,4,1,2] => 0
[3,2,4,1,5] => [3,2,5,1,4] => [3,4,1,5,2] => [3,5,1,4,2] => 0
[3,2,4,5,1] => [3,2,5,4,1] => [3,4,1,2,5] => [3,5,1,4,2] => 0
[3,2,5,1,4] => [3,2,5,1,4] => [3,4,1,5,2] => [3,5,1,4,2] => 0
[3,2,5,4,1] => [3,2,5,4,1] => [3,4,1,2,5] => [3,5,1,4,2] => 0
[3,4,1,2,5] => [3,5,1,4,2] => [3,1,5,2,4] => [3,1,5,4,2] => 2
[3,4,1,5,2] => [3,5,1,4,2] => [3,1,5,2,4] => [3,1,5,4,2] => 2
[3,4,2,1,5] => [3,5,2,1,4] => [3,1,4,5,2] => [3,1,5,4,2] => 2
[3,4,2,5,1] => [3,5,2,4,1] => [3,1,4,2,5] => [3,1,5,4,2] => 2
[3,4,5,1,2] => [3,5,4,1,2] => [3,1,2,5,4] => [3,1,5,4,2] => 2
[3,4,5,2,1] => [3,5,4,2,1] => [3,1,2,4,5] => [3,1,5,4,2] => 2
[3,5,1,2,4] => [3,5,1,4,2] => [3,1,5,2,4] => [3,1,5,4,2] => 2
[3,5,1,4,2] => [3,5,1,4,2] => [3,1,5,2,4] => [3,1,5,4,2] => 2
>>> Load all 873 entries. <<<[3,5,2,1,4] => [3,5,2,1,4] => [3,1,4,5,2] => [3,1,5,4,2] => 2
[3,5,2,4,1] => [3,5,2,4,1] => [3,1,4,2,5] => [3,1,5,4,2] => 2
[3,5,4,1,2] => [3,5,4,1,2] => [3,1,2,5,4] => [3,1,5,4,2] => 2
[3,5,4,2,1] => [3,5,4,2,1] => [3,1,2,4,5] => [3,1,5,4,2] => 2
[4,1,2,3,5] => [4,1,5,3,2] => [2,5,1,3,4] => [2,5,1,4,3] => 0
[4,1,2,5,3] => [4,1,5,3,2] => [2,5,1,3,4] => [2,5,1,4,3] => 0
[4,1,3,2,5] => [4,1,5,3,2] => [2,5,1,3,4] => [2,5,1,4,3] => 0
[4,1,3,5,2] => [4,1,5,3,2] => [2,5,1,3,4] => [2,5,1,4,3] => 0
[4,1,5,2,3] => [4,1,5,3,2] => [2,5,1,3,4] => [2,5,1,4,3] => 0
[4,1,5,3,2] => [4,1,5,3,2] => [2,5,1,3,4] => [2,5,1,4,3] => 0
[4,2,1,3,5] => [4,2,1,5,3] => [2,4,5,1,3] => [2,5,4,1,3] => 0
[4,2,1,5,3] => [4,2,1,5,3] => [2,4,5,1,3] => [2,5,4,1,3] => 0
[4,2,3,1,5] => [4,2,5,1,3] => [2,4,1,5,3] => [2,5,1,4,3] => 0
[4,2,3,5,1] => [4,2,5,3,1] => [2,4,1,3,5] => [2,5,1,4,3] => 0
[4,2,5,1,3] => [4,2,5,1,3] => [2,4,1,5,3] => [2,5,1,4,3] => 0
[4,2,5,3,1] => [4,2,5,3,1] => [2,4,1,3,5] => [2,5,1,4,3] => 0
[4,3,1,2,5] => [4,3,1,5,2] => [2,3,5,1,4] => [2,5,4,1,3] => 0
[4,3,1,5,2] => [4,3,1,5,2] => [2,3,5,1,4] => [2,5,4,1,3] => 0
[4,3,2,1,5] => [4,3,2,1,5] => [2,3,4,5,1] => [2,5,4,3,1] => 0
[4,3,2,5,1] => [4,3,2,5,1] => [2,3,4,1,5] => [2,5,4,1,3] => 0
[4,3,5,1,2] => [4,3,5,1,2] => [2,3,1,5,4] => [2,5,1,4,3] => 0
[4,3,5,2,1] => [4,3,5,2,1] => [2,3,1,4,5] => [2,5,1,4,3] => 0
[4,5,1,2,3] => [4,5,1,3,2] => [2,1,5,3,4] => [2,1,5,4,3] => 3
[4,5,1,3,2] => [4,5,1,3,2] => [2,1,5,3,4] => [2,1,5,4,3] => 3
[4,5,2,1,3] => [4,5,2,1,3] => [2,1,4,5,3] => [2,1,5,4,3] => 3
[4,5,2,3,1] => [4,5,2,3,1] => [2,1,4,3,5] => [2,1,5,4,3] => 3
[4,5,3,1,2] => [4,5,3,1,2] => [2,1,3,5,4] => [2,1,5,4,3] => 3
[4,5,3,2,1] => [4,5,3,2,1] => [2,1,3,4,5] => [2,1,5,4,3] => 3
[5,1,2,3,4] => [5,1,4,3,2] => [1,5,2,3,4] => [1,5,4,3,2] => 0
[5,1,2,4,3] => [5,1,4,3,2] => [1,5,2,3,4] => [1,5,4,3,2] => 0
[5,1,3,2,4] => [5,1,4,3,2] => [1,5,2,3,4] => [1,5,4,3,2] => 0
[5,1,3,4,2] => [5,1,4,3,2] => [1,5,2,3,4] => [1,5,4,3,2] => 0
[5,1,4,2,3] => [5,1,4,3,2] => [1,5,2,3,4] => [1,5,4,3,2] => 0
[5,1,4,3,2] => [5,1,4,3,2] => [1,5,2,3,4] => [1,5,4,3,2] => 0
[5,2,1,3,4] => [5,2,1,4,3] => [1,4,5,2,3] => [1,5,4,3,2] => 0
[5,2,1,4,3] => [5,2,1,4,3] => [1,4,5,2,3] => [1,5,4,3,2] => 0
[5,2,3,1,4] => [5,2,4,1,3] => [1,4,2,5,3] => [1,5,4,3,2] => 0
[5,2,3,4,1] => [5,2,4,3,1] => [1,4,2,3,5] => [1,5,4,3,2] => 0
[5,2,4,1,3] => [5,2,4,1,3] => [1,4,2,5,3] => [1,5,4,3,2] => 0
[5,2,4,3,1] => [5,2,4,3,1] => [1,4,2,3,5] => [1,5,4,3,2] => 0
[5,3,1,2,4] => [5,3,1,4,2] => [1,3,5,2,4] => [1,5,4,3,2] => 0
[5,3,1,4,2] => [5,3,1,4,2] => [1,3,5,2,4] => [1,5,4,3,2] => 0
[5,3,2,1,4] => [5,3,2,1,4] => [1,3,4,5,2] => [1,5,4,3,2] => 0
[5,3,2,4,1] => [5,3,2,4,1] => [1,3,4,2,5] => [1,5,4,3,2] => 0
[5,3,4,1,2] => [5,3,4,1,2] => [1,3,2,5,4] => [1,5,4,3,2] => 0
[5,3,4,2,1] => [5,3,4,2,1] => [1,3,2,4,5] => [1,5,4,3,2] => 0
[5,4,1,2,3] => [5,4,1,3,2] => [1,2,5,3,4] => [1,5,4,3,2] => 0
[5,4,1,3,2] => [5,4,1,3,2] => [1,2,5,3,4] => [1,5,4,3,2] => 0
[5,4,2,1,3] => [5,4,2,1,3] => [1,2,4,5,3] => [1,5,4,3,2] => 0
[5,4,2,3,1] => [5,4,2,3,1] => [1,2,4,3,5] => [1,5,4,3,2] => 0
[5,4,3,1,2] => [5,4,3,1,2] => [1,2,3,5,4] => [1,5,4,3,2] => 0
[5,4,3,2,1] => [5,4,3,2,1] => [1,2,3,4,5] => [1,5,4,3,2] => 0
[1,2,3,4,5,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,3,4,6,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,3,5,4,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,3,5,6,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,3,6,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,3,6,5,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,4,3,5,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,4,3,6,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,4,5,3,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,4,5,6,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,4,6,3,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,4,6,5,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,5,3,4,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,5,3,6,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,5,4,3,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,5,4,6,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,5,6,3,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,5,6,4,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,6,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,6,3,5,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,6,4,3,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,6,4,5,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,6,5,3,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,2,6,5,4,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,2,4,5,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,2,4,6,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,2,5,4,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,2,5,6,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,2,6,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,2,6,5,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,4,2,5,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,4,2,6,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,4,5,2,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,4,5,6,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,4,6,2,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,4,6,5,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,5,2,4,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,5,2,6,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,5,4,2,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,5,4,6,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,5,6,2,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,5,6,4,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,6,2,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,6,2,5,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,6,4,2,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,6,4,5,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,6,5,2,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,3,6,5,4,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,2,3,5,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,2,3,6,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,2,5,3,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,2,5,6,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,2,6,3,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,2,6,5,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,3,2,5,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,3,2,6,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,3,5,2,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,3,5,6,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,3,6,2,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,3,6,5,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,5,2,3,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,5,2,6,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,5,3,2,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,5,3,6,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,5,6,2,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,5,6,3,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,6,2,3,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,6,2,5,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,6,3,2,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,6,3,5,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,6,5,2,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,4,6,5,3,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,2,3,4,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,2,3,6,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,2,4,3,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,2,4,6,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,2,6,3,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,2,6,4,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,3,2,4,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,3,2,6,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,3,4,2,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,3,4,6,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,3,6,2,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,3,6,4,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,4,2,3,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,4,2,6,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,4,3,2,6] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,4,3,6,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,4,6,2,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,4,6,3,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,6,2,3,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,6,2,4,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,6,3,2,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,6,3,4,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,6,4,2,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,5,6,4,3,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,2,3,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,2,3,5,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,2,4,3,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,2,4,5,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,2,5,3,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,2,5,4,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,3,2,4,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,3,2,5,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,3,4,2,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,3,4,5,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,3,5,2,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,3,5,4,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,4,2,3,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,4,2,5,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,4,3,2,5] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,4,3,5,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,4,5,2,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,4,5,3,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,5,2,3,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,5,2,4,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,5,3,2,4] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,5,3,4,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,5,4,2,3] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[1,6,5,4,3,2] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => 0
[2,1,3,4,5,6] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,3,4,6,5] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,3,5,4,6] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,3,5,6,4] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,3,6,4,5] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,3,6,5,4] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,4,3,5,6] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,4,3,6,5] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,4,5,3,6] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,4,5,6,3] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,4,6,3,5] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,4,6,5,3] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,5,3,4,6] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,5,3,6,4] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,5,4,3,6] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,5,4,6,3] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,5,6,3,4] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,5,6,4,3] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,6,3,4,5] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,6,3,5,4] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,6,4,3,5] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,6,4,5,3] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,6,5,3,4] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,1,6,5,4,3] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => 0
[2,3,1,4,5,6] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,3,1,4,6,5] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,3,1,5,4,6] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,3,1,5,6,4] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,3,1,6,4,5] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,3,1,6,5,4] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,3,4,1,5,6] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,3,4,1,6,5] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,3,4,5,1,6] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,3,4,5,6,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,3,4,6,1,5] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,3,4,6,5,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,3,5,1,4,6] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,3,5,1,6,4] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,3,5,4,1,6] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,3,5,4,6,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,3,5,6,1,4] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,3,5,6,4,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,3,6,1,4,5] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,3,6,1,5,4] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,3,6,4,1,5] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,3,6,4,5,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,3,6,5,1,4] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,3,6,5,4,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,4,1,3,5,6] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,4,1,3,6,5] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,4,1,5,3,6] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,4,1,5,6,3] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,4,1,6,3,5] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,4,1,6,5,3] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,4,3,1,5,6] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,4,3,1,6,5] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,4,3,5,1,6] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,4,3,5,6,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,4,3,6,1,5] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,4,3,6,5,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,4,5,1,3,6] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,4,5,1,6,3] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,4,5,3,1,6] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,4,5,3,6,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,4,5,6,1,3] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,4,5,6,3,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,4,6,1,3,5] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,4,6,1,5,3] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,4,6,3,1,5] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,4,6,3,5,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,4,6,5,1,3] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,4,6,5,3,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,5,1,3,4,6] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,5,1,3,6,4] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,5,1,4,3,6] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,5,1,4,6,3] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,5,1,6,3,4] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,5,1,6,4,3] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,5,3,1,4,6] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,5,3,1,6,4] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,5,3,4,1,6] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,5,3,4,6,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,5,3,6,1,4] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,5,3,6,4,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,5,4,1,3,6] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,5,4,1,6,3] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,5,4,3,1,6] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,5,4,3,6,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,5,4,6,1,3] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,5,4,6,3,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,5,6,1,3,4] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,5,6,1,4,3] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,5,6,3,1,4] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,5,6,3,4,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,5,6,4,1,3] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,5,6,4,3,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,6,1,3,4,5] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,6,1,3,5,4] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,6,1,4,3,5] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,6,1,4,5,3] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,6,1,5,3,4] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,6,1,5,4,3] => [2,6,1,5,4,3] => [5,1,6,2,3,4] => [5,1,6,4,3,2] => 1
[2,6,3,1,4,5] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,6,3,1,5,4] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,6,3,4,1,5] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,6,3,4,5,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,6,3,5,1,4] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,6,3,5,4,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,6,4,1,3,5] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,6,4,1,5,3] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,6,4,3,1,5] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,6,4,3,5,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,6,4,5,1,3] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,6,4,5,3,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,6,5,1,3,4] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,6,5,1,4,3] => [2,6,5,1,4,3] => [5,1,2,6,3,4] => [5,1,6,4,3,2] => 1
[2,6,5,3,1,4] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,6,5,3,4,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[2,6,5,4,1,3] => [2,6,5,4,1,3] => [5,1,2,3,6,4] => [5,1,6,4,3,2] => 1
[2,6,5,4,3,1] => [2,6,5,4,3,1] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => 1
[3,1,2,4,5,6] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,2,4,6,5] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,2,5,4,6] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,2,5,6,4] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,2,6,4,5] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,2,6,5,4] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,4,2,5,6] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,4,2,6,5] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,4,5,2,6] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,4,5,6,2] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,4,6,2,5] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,4,6,5,2] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,5,2,4,6] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,5,2,6,4] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,5,4,2,6] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,5,4,6,2] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,5,6,2,4] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,5,6,4,2] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,6,2,4,5] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,6,2,5,4] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,6,4,2,5] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,6,4,5,2] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,6,5,2,4] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,1,6,5,4,2] => [3,1,6,5,4,2] => [4,6,1,2,3,5] => [4,6,1,5,3,2] => 0
[3,2,1,4,5,6] => [3,2,1,6,5,4] => [4,5,6,1,2,3] => [4,6,5,1,3,2] => 0
[3,2,1,4,6,5] => [3,2,1,6,5,4] => [4,5,6,1,2,3] => [4,6,5,1,3,2] => 0
[3,2,1,5,4,6] => [3,2,1,6,5,4] => [4,5,6,1,2,3] => [4,6,5,1,3,2] => 0
[3,2,1,5,6,4] => [3,2,1,6,5,4] => [4,5,6,1,2,3] => [4,6,5,1,3,2] => 0
[3,2,1,6,4,5] => [3,2,1,6,5,4] => [4,5,6,1,2,3] => [4,6,5,1,3,2] => 0
[3,2,1,6,5,4] => [3,2,1,6,5,4] => [4,5,6,1,2,3] => [4,6,5,1,3,2] => 0
[3,2,4,1,5,6] => [3,2,6,1,5,4] => [4,5,1,6,2,3] => [4,6,1,5,3,2] => 0
[3,2,4,1,6,5] => [3,2,6,1,5,4] => [4,5,1,6,2,3] => [4,6,1,5,3,2] => 0
[3,2,4,5,1,6] => [3,2,6,5,1,4] => [4,5,1,2,6,3] => [4,6,1,5,3,2] => 0
[3,2,4,5,6,1] => [3,2,6,5,4,1] => [4,5,1,2,3,6] => [4,6,1,5,3,2] => 0
[3,2,4,6,1,5] => [3,2,6,5,1,4] => [4,5,1,2,6,3] => [4,6,1,5,3,2] => 0
[3,2,4,6,5,1] => [3,2,6,5,4,1] => [4,5,1,2,3,6] => [4,6,1,5,3,2] => 0
[3,2,5,1,4,6] => [3,2,6,1,5,4] => [4,5,1,6,2,3] => [4,6,1,5,3,2] => 0
[3,2,5,1,6,4] => [3,2,6,1,5,4] => [4,5,1,6,2,3] => [4,6,1,5,3,2] => 0
[3,2,5,4,1,6] => [3,2,6,5,1,4] => [4,5,1,2,6,3] => [4,6,1,5,3,2] => 0
[3,2,5,4,6,1] => [3,2,6,5,4,1] => [4,5,1,2,3,6] => [4,6,1,5,3,2] => 0
[3,2,5,6,1,4] => [3,2,6,5,1,4] => [4,5,1,2,6,3] => [4,6,1,5,3,2] => 0
[3,2,5,6,4,1] => [3,2,6,5,4,1] => [4,5,1,2,3,6] => [4,6,1,5,3,2] => 0
[3,2,6,1,4,5] => [3,2,6,1,5,4] => [4,5,1,6,2,3] => [4,6,1,5,3,2] => 0
[3,2,6,1,5,4] => [3,2,6,1,5,4] => [4,5,1,6,2,3] => [4,6,1,5,3,2] => 0
[3,2,6,4,1,5] => [3,2,6,5,1,4] => [4,5,1,2,6,3] => [4,6,1,5,3,2] => 0
[3,2,6,4,5,1] => [3,2,6,5,4,1] => [4,5,1,2,3,6] => [4,6,1,5,3,2] => 0
[3,2,6,5,1,4] => [3,2,6,5,1,4] => [4,5,1,2,6,3] => [4,6,1,5,3,2] => 0
[3,2,6,5,4,1] => [3,2,6,5,4,1] => [4,5,1,2,3,6] => [4,6,1,5,3,2] => 0
[3,4,1,2,5,6] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,4,1,2,6,5] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,4,1,5,2,6] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,4,1,5,6,2] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,4,1,6,2,5] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,4,1,6,5,2] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,4,2,1,5,6] => [3,6,2,1,5,4] => [4,1,5,6,2,3] => [4,1,6,5,3,2] => 2
[3,4,2,1,6,5] => [3,6,2,1,5,4] => [4,1,5,6,2,3] => [4,1,6,5,3,2] => 2
[3,4,2,5,1,6] => [3,6,2,5,1,4] => [4,1,5,2,6,3] => [4,1,6,5,3,2] => 2
[3,4,2,5,6,1] => [3,6,2,5,4,1] => [4,1,5,2,3,6] => [4,1,6,5,3,2] => 2
[3,4,2,6,1,5] => [3,6,2,5,1,4] => [4,1,5,2,6,3] => [4,1,6,5,3,2] => 2
[3,4,2,6,5,1] => [3,6,2,5,4,1] => [4,1,5,2,3,6] => [4,1,6,5,3,2] => 2
[3,4,5,1,2,6] => [3,6,5,1,4,2] => [4,1,2,6,3,5] => [4,1,6,5,3,2] => 2
[3,4,5,1,6,2] => [3,6,5,1,4,2] => [4,1,2,6,3,5] => [4,1,6,5,3,2] => 2
[3,4,5,2,1,6] => [3,6,5,2,1,4] => [4,1,2,5,6,3] => [4,1,6,5,3,2] => 2
[3,4,5,2,6,1] => [3,6,5,2,4,1] => [4,1,2,5,3,6] => [4,1,6,5,3,2] => 2
[3,4,5,6,1,2] => [3,6,5,4,1,2] => [4,1,2,3,6,5] => [4,1,6,5,3,2] => 2
[3,4,5,6,2,1] => [3,6,5,4,2,1] => [4,1,2,3,5,6] => [4,1,6,5,3,2] => 2
[3,4,6,1,2,5] => [3,6,5,1,4,2] => [4,1,2,6,3,5] => [4,1,6,5,3,2] => 2
[3,4,6,1,5,2] => [3,6,5,1,4,2] => [4,1,2,6,3,5] => [4,1,6,5,3,2] => 2
[3,4,6,2,1,5] => [3,6,5,2,1,4] => [4,1,2,5,6,3] => [4,1,6,5,3,2] => 2
[3,4,6,2,5,1] => [3,6,5,2,4,1] => [4,1,2,5,3,6] => [4,1,6,5,3,2] => 2
[3,4,6,5,1,2] => [3,6,5,4,1,2] => [4,1,2,3,6,5] => [4,1,6,5,3,2] => 2
[3,4,6,5,2,1] => [3,6,5,4,2,1] => [4,1,2,3,5,6] => [4,1,6,5,3,2] => 2
[3,5,1,2,4,6] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,5,1,2,6,4] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,5,1,4,2,6] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,5,1,4,6,2] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,5,1,6,2,4] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,5,1,6,4,2] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,5,2,1,4,6] => [3,6,2,1,5,4] => [4,1,5,6,2,3] => [4,1,6,5,3,2] => 2
[3,5,2,1,6,4] => [3,6,2,1,5,4] => [4,1,5,6,2,3] => [4,1,6,5,3,2] => 2
[3,5,2,4,1,6] => [3,6,2,5,1,4] => [4,1,5,2,6,3] => [4,1,6,5,3,2] => 2
[3,5,2,4,6,1] => [3,6,2,5,4,1] => [4,1,5,2,3,6] => [4,1,6,5,3,2] => 2
[3,5,2,6,1,4] => [3,6,2,5,1,4] => [4,1,5,2,6,3] => [4,1,6,5,3,2] => 2
[3,5,2,6,4,1] => [3,6,2,5,4,1] => [4,1,5,2,3,6] => [4,1,6,5,3,2] => 2
[3,5,4,1,2,6] => [3,6,5,1,4,2] => [4,1,2,6,3,5] => [4,1,6,5,3,2] => 2
[3,5,4,1,6,2] => [3,6,5,1,4,2] => [4,1,2,6,3,5] => [4,1,6,5,3,2] => 2
[3,5,4,2,1,6] => [3,6,5,2,1,4] => [4,1,2,5,6,3] => [4,1,6,5,3,2] => 2
[3,5,4,2,6,1] => [3,6,5,2,4,1] => [4,1,2,5,3,6] => [4,1,6,5,3,2] => 2
[3,5,4,6,1,2] => [3,6,5,4,1,2] => [4,1,2,3,6,5] => [4,1,6,5,3,2] => 2
[3,5,4,6,2,1] => [3,6,5,4,2,1] => [4,1,2,3,5,6] => [4,1,6,5,3,2] => 2
[3,5,6,1,2,4] => [3,6,5,1,4,2] => [4,1,2,6,3,5] => [4,1,6,5,3,2] => 2
[3,5,6,1,4,2] => [3,6,5,1,4,2] => [4,1,2,6,3,5] => [4,1,6,5,3,2] => 2
[3,5,6,2,1,4] => [3,6,5,2,1,4] => [4,1,2,5,6,3] => [4,1,6,5,3,2] => 2
[3,5,6,2,4,1] => [3,6,5,2,4,1] => [4,1,2,5,3,6] => [4,1,6,5,3,2] => 2
[3,5,6,4,1,2] => [3,6,5,4,1,2] => [4,1,2,3,6,5] => [4,1,6,5,3,2] => 2
[3,5,6,4,2,1] => [3,6,5,4,2,1] => [4,1,2,3,5,6] => [4,1,6,5,3,2] => 2
[3,6,1,2,4,5] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,6,1,2,5,4] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,6,1,4,2,5] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,6,1,4,5,2] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,6,1,5,2,4] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,6,1,5,4,2] => [3,6,1,5,4,2] => [4,1,6,2,3,5] => [4,1,6,5,3,2] => 2
[3,6,2,1,4,5] => [3,6,2,1,5,4] => [4,1,5,6,2,3] => [4,1,6,5,3,2] => 2
[3,6,2,1,5,4] => [3,6,2,1,5,4] => [4,1,5,6,2,3] => [4,1,6,5,3,2] => 2
[3,6,2,4,1,5] => [3,6,2,5,1,4] => [4,1,5,2,6,3] => [4,1,6,5,3,2] => 2
[3,6,2,4,5,1] => [3,6,2,5,4,1] => [4,1,5,2,3,6] => [4,1,6,5,3,2] => 2
[3,6,2,5,1,4] => [3,6,2,5,1,4] => [4,1,5,2,6,3] => [4,1,6,5,3,2] => 2
[3,6,2,5,4,1] => [3,6,2,5,4,1] => [4,1,5,2,3,6] => [4,1,6,5,3,2] => 2
[3,6,4,1,2,5] => [3,6,5,1,4,2] => [4,1,2,6,3,5] => [4,1,6,5,3,2] => 2
[3,6,4,1,5,2] => [3,6,5,1,4,2] => [4,1,2,6,3,5] => [4,1,6,5,3,2] => 2
[3,6,4,2,1,5] => [3,6,5,2,1,4] => [4,1,2,5,6,3] => [4,1,6,5,3,2] => 2
[3,6,4,2,5,1] => [3,6,5,2,4,1] => [4,1,2,5,3,6] => [4,1,6,5,3,2] => 2
[3,6,4,5,1,2] => [3,6,5,4,1,2] => [4,1,2,3,6,5] => [4,1,6,5,3,2] => 2
[3,6,4,5,2,1] => [3,6,5,4,2,1] => [4,1,2,3,5,6] => [4,1,6,5,3,2] => 2
[3,6,5,1,2,4] => [3,6,5,1,4,2] => [4,1,2,6,3,5] => [4,1,6,5,3,2] => 2
[3,6,5,1,4,2] => [3,6,5,1,4,2] => [4,1,2,6,3,5] => [4,1,6,5,3,2] => 2
[3,6,5,2,1,4] => [3,6,5,2,1,4] => [4,1,2,5,6,3] => [4,1,6,5,3,2] => 2
[3,6,5,2,4,1] => [3,6,5,2,4,1] => [4,1,2,5,3,6] => [4,1,6,5,3,2] => 2
[3,6,5,4,1,2] => [3,6,5,4,1,2] => [4,1,2,3,6,5] => [4,1,6,5,3,2] => 2
[3,6,5,4,2,1] => [3,6,5,4,2,1] => [4,1,2,3,5,6] => [4,1,6,5,3,2] => 2
[4,1,2,3,5,6] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,2,3,6,5] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,2,5,3,6] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,2,5,6,3] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,2,6,3,5] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,2,6,5,3] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,3,2,5,6] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,3,2,6,5] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,3,5,2,6] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,3,5,6,2] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,3,6,2,5] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,3,6,5,2] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,5,2,3,6] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,5,2,6,3] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,5,3,2,6] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,5,3,6,2] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,5,6,2,3] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,5,6,3,2] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,6,2,3,5] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,6,2,5,3] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,6,3,2,5] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,6,3,5,2] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,6,5,2,3] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,1,6,5,3,2] => [4,1,6,5,3,2] => [3,6,1,2,4,5] => [3,6,1,5,4,2] => 0
[4,2,1,3,5,6] => [4,2,1,6,5,3] => [3,5,6,1,2,4] => [3,6,5,1,4,2] => 0
[4,2,1,3,6,5] => [4,2,1,6,5,3] => [3,5,6,1,2,4] => [3,6,5,1,4,2] => 0
[4,2,1,5,3,6] => [4,2,1,6,5,3] => [3,5,6,1,2,4] => [3,6,5,1,4,2] => 0
[4,2,1,5,6,3] => [4,2,1,6,5,3] => [3,5,6,1,2,4] => [3,6,5,1,4,2] => 0
[4,2,1,6,3,5] => [4,2,1,6,5,3] => [3,5,6,1,2,4] => [3,6,5,1,4,2] => 0
[4,2,1,6,5,3] => [4,2,1,6,5,3] => [3,5,6,1,2,4] => [3,6,5,1,4,2] => 0
[4,2,3,1,5,6] => [4,2,6,1,5,3] => [3,5,1,6,2,4] => [3,6,1,5,4,2] => 0
[4,2,3,1,6,5] => [4,2,6,1,5,3] => [3,5,1,6,2,4] => [3,6,1,5,4,2] => 0
[4,2,3,5,1,6] => [4,2,6,5,1,3] => [3,5,1,2,6,4] => [3,6,1,5,4,2] => 0
[4,2,3,5,6,1] => [4,2,6,5,3,1] => [3,5,1,2,4,6] => [3,6,1,5,4,2] => 0
[4,2,3,6,1,5] => [4,2,6,5,1,3] => [3,5,1,2,6,4] => [3,6,1,5,4,2] => 0
[4,2,3,6,5,1] => [4,2,6,5,3,1] => [3,5,1,2,4,6] => [3,6,1,5,4,2] => 0
[4,2,5,1,3,6] => [4,2,6,1,5,3] => [3,5,1,6,2,4] => [3,6,1,5,4,2] => 0
[4,2,5,1,6,3] => [4,2,6,1,5,3] => [3,5,1,6,2,4] => [3,6,1,5,4,2] => 0
[4,2,5,3,1,6] => [4,2,6,5,1,3] => [3,5,1,2,6,4] => [3,6,1,5,4,2] => 0
[4,2,5,3,6,1] => [4,2,6,5,3,1] => [3,5,1,2,4,6] => [3,6,1,5,4,2] => 0
[4,2,5,6,1,3] => [4,2,6,5,1,3] => [3,5,1,2,6,4] => [3,6,1,5,4,2] => 0
[4,2,5,6,3,1] => [4,2,6,5,3,1] => [3,5,1,2,4,6] => [3,6,1,5,4,2] => 0
[4,2,6,1,3,5] => [4,2,6,1,5,3] => [3,5,1,6,2,4] => [3,6,1,5,4,2] => 0
[4,2,6,1,5,3] => [4,2,6,1,5,3] => [3,5,1,6,2,4] => [3,6,1,5,4,2] => 0
[4,2,6,3,1,5] => [4,2,6,5,1,3] => [3,5,1,2,6,4] => [3,6,1,5,4,2] => 0
[4,2,6,3,5,1] => [4,2,6,5,3,1] => [3,5,1,2,4,6] => [3,6,1,5,4,2] => 0
[4,2,6,5,1,3] => [4,2,6,5,1,3] => [3,5,1,2,6,4] => [3,6,1,5,4,2] => 0
[4,2,6,5,3,1] => [4,2,6,5,3,1] => [3,5,1,2,4,6] => [3,6,1,5,4,2] => 0
[4,3,1,2,5,6] => [4,3,1,6,5,2] => [3,4,6,1,2,5] => [3,6,5,1,4,2] => 0
[4,3,1,2,6,5] => [4,3,1,6,5,2] => [3,4,6,1,2,5] => [3,6,5,1,4,2] => 0
[4,3,1,5,2,6] => [4,3,1,6,5,2] => [3,4,6,1,2,5] => [3,6,5,1,4,2] => 0
[4,3,1,5,6,2] => [4,3,1,6,5,2] => [3,4,6,1,2,5] => [3,6,5,1,4,2] => 0
[4,3,1,6,2,5] => [4,3,1,6,5,2] => [3,4,6,1,2,5] => [3,6,5,1,4,2] => 0
[4,3,1,6,5,2] => [4,3,1,6,5,2] => [3,4,6,1,2,5] => [3,6,5,1,4,2] => 0
[4,3,2,1,5,6] => [4,3,2,1,6,5] => [3,4,5,6,1,2] => [3,6,5,4,1,2] => 0
[4,3,2,1,6,5] => [4,3,2,1,6,5] => [3,4,5,6,1,2] => [3,6,5,4,1,2] => 0
[4,3,2,5,1,6] => [4,3,2,6,1,5] => [3,4,5,1,6,2] => [3,6,5,1,4,2] => 0
[4,3,2,5,6,1] => [4,3,2,6,5,1] => [3,4,5,1,2,6] => [3,6,5,1,4,2] => 0
[4,3,2,6,1,5] => [4,3,2,6,1,5] => [3,4,5,1,6,2] => [3,6,5,1,4,2] => 0
[4,3,2,6,5,1] => [4,3,2,6,5,1] => [3,4,5,1,2,6] => [3,6,5,1,4,2] => 0
[4,3,5,1,2,6] => [4,3,6,1,5,2] => [3,4,1,6,2,5] => [3,6,1,5,4,2] => 0
[4,3,5,1,6,2] => [4,3,6,1,5,2] => [3,4,1,6,2,5] => [3,6,1,5,4,2] => 0
[4,3,5,2,1,6] => [4,3,6,2,1,5] => [3,4,1,5,6,2] => [3,6,1,5,4,2] => 0
[4,3,5,2,6,1] => [4,3,6,2,5,1] => [3,4,1,5,2,6] => [3,6,1,5,4,2] => 0
[4,3,5,6,1,2] => [4,3,6,5,1,2] => [3,4,1,2,6,5] => [3,6,1,5,4,2] => 0
[4,3,5,6,2,1] => [4,3,6,5,2,1] => [3,4,1,2,5,6] => [3,6,1,5,4,2] => 0
[4,3,6,1,2,5] => [4,3,6,1,5,2] => [3,4,1,6,2,5] => [3,6,1,5,4,2] => 0
[4,3,6,1,5,2] => [4,3,6,1,5,2] => [3,4,1,6,2,5] => [3,6,1,5,4,2] => 0
[4,3,6,2,1,5] => [4,3,6,2,1,5] => [3,4,1,5,6,2] => [3,6,1,5,4,2] => 0
[4,3,6,2,5,1] => [4,3,6,2,5,1] => [3,4,1,5,2,6] => [3,6,1,5,4,2] => 0
[4,3,6,5,1,2] => [4,3,6,5,1,2] => [3,4,1,2,6,5] => [3,6,1,5,4,2] => 0
[4,3,6,5,2,1] => [4,3,6,5,2,1] => [3,4,1,2,5,6] => [3,6,1,5,4,2] => 0
[4,5,1,2,3,6] => [4,6,1,5,3,2] => [3,1,6,2,4,5] => [3,1,6,5,4,2] => 3
[4,5,1,2,6,3] => [4,6,1,5,3,2] => [3,1,6,2,4,5] => [3,1,6,5,4,2] => 3
[4,5,1,3,2,6] => [4,6,1,5,3,2] => [3,1,6,2,4,5] => [3,1,6,5,4,2] => 3
[4,5,1,3,6,2] => [4,6,1,5,3,2] => [3,1,6,2,4,5] => [3,1,6,5,4,2] => 3
[4,5,1,6,2,3] => [4,6,1,5,3,2] => [3,1,6,2,4,5] => [3,1,6,5,4,2] => 3
[4,5,1,6,3,2] => [4,6,1,5,3,2] => [3,1,6,2,4,5] => [3,1,6,5,4,2] => 3
[4,5,2,1,3,6] => [4,6,2,1,5,3] => [3,1,5,6,2,4] => [3,1,6,5,4,2] => 3
[4,5,2,1,6,3] => [4,6,2,1,5,3] => [3,1,5,6,2,4] => [3,1,6,5,4,2] => 3
[4,5,2,3,1,6] => [4,6,2,5,1,3] => [3,1,5,2,6,4] => [3,1,6,5,4,2] => 3
[4,5,2,3,6,1] => [4,6,2,5,3,1] => [3,1,5,2,4,6] => [3,1,6,5,4,2] => 3
[4,5,2,6,1,3] => [4,6,2,5,1,3] => [3,1,5,2,6,4] => [3,1,6,5,4,2] => 3
[4,5,2,6,3,1] => [4,6,2,5,3,1] => [3,1,5,2,4,6] => [3,1,6,5,4,2] => 3
[4,5,3,1,2,6] => [4,6,3,1,5,2] => [3,1,4,6,2,5] => [3,1,6,5,4,2] => 3
[4,5,3,1,6,2] => [4,6,3,1,5,2] => [3,1,4,6,2,5] => [3,1,6,5,4,2] => 3
[4,5,3,2,1,6] => [4,6,3,2,1,5] => [3,1,4,5,6,2] => [3,1,6,5,4,2] => 3
[4,5,3,2,6,1] => [4,6,3,2,5,1] => [3,1,4,5,2,6] => [3,1,6,5,4,2] => 3
[4,5,3,6,1,2] => [4,6,3,5,1,2] => [3,1,4,2,6,5] => [3,1,6,5,4,2] => 3
[4,5,3,6,2,1] => [4,6,3,5,2,1] => [3,1,4,2,5,6] => [3,1,6,5,4,2] => 3
[4,5,6,1,2,3] => [4,6,5,1,3,2] => [3,1,2,6,4,5] => [3,1,6,5,4,2] => 3
[4,5,6,1,3,2] => [4,6,5,1,3,2] => [3,1,2,6,4,5] => [3,1,6,5,4,2] => 3
[4,5,6,2,1,3] => [4,6,5,2,1,3] => [3,1,2,5,6,4] => [3,1,6,5,4,2] => 3
[4,5,6,2,3,1] => [4,6,5,2,3,1] => [3,1,2,5,4,6] => [3,1,6,5,4,2] => 3
[4,5,6,3,1,2] => [4,6,5,3,1,2] => [3,1,2,4,6,5] => [3,1,6,5,4,2] => 3
[4,5,6,3,2,1] => [4,6,5,3,2,1] => [3,1,2,4,5,6] => [3,1,6,5,4,2] => 3
[4,6,1,2,3,5] => [4,6,1,5,3,2] => [3,1,6,2,4,5] => [3,1,6,5,4,2] => 3
[4,6,1,2,5,3] => [4,6,1,5,3,2] => [3,1,6,2,4,5] => [3,1,6,5,4,2] => 3
[4,6,1,3,2,5] => [4,6,1,5,3,2] => [3,1,6,2,4,5] => [3,1,6,5,4,2] => 3
[4,6,1,3,5,2] => [4,6,1,5,3,2] => [3,1,6,2,4,5] => [3,1,6,5,4,2] => 3
[4,6,1,5,2,3] => [4,6,1,5,3,2] => [3,1,6,2,4,5] => [3,1,6,5,4,2] => 3
[4,6,1,5,3,2] => [4,6,1,5,3,2] => [3,1,6,2,4,5] => [3,1,6,5,4,2] => 3
[4,6,2,1,3,5] => [4,6,2,1,5,3] => [3,1,5,6,2,4] => [3,1,6,5,4,2] => 3
[4,6,2,1,5,3] => [4,6,2,1,5,3] => [3,1,5,6,2,4] => [3,1,6,5,4,2] => 3
[4,6,2,3,1,5] => [4,6,2,5,1,3] => [3,1,5,2,6,4] => [3,1,6,5,4,2] => 3
[4,6,2,3,5,1] => [4,6,2,5,3,1] => [3,1,5,2,4,6] => [3,1,6,5,4,2] => 3
[4,6,2,5,1,3] => [4,6,2,5,1,3] => [3,1,5,2,6,4] => [3,1,6,5,4,2] => 3
[4,6,2,5,3,1] => [4,6,2,5,3,1] => [3,1,5,2,4,6] => [3,1,6,5,4,2] => 3
[4,6,3,1,2,5] => [4,6,3,1,5,2] => [3,1,4,6,2,5] => [3,1,6,5,4,2] => 3
[4,6,3,1,5,2] => [4,6,3,1,5,2] => [3,1,4,6,2,5] => [3,1,6,5,4,2] => 3
[4,6,3,2,1,5] => [4,6,3,2,1,5] => [3,1,4,5,6,2] => [3,1,6,5,4,2] => 3
[4,6,3,2,5,1] => [4,6,3,2,5,1] => [3,1,4,5,2,6] => [3,1,6,5,4,2] => 3
[4,6,3,5,1,2] => [4,6,3,5,1,2] => [3,1,4,2,6,5] => [3,1,6,5,4,2] => 3
[4,6,3,5,2,1] => [4,6,3,5,2,1] => [3,1,4,2,5,6] => [3,1,6,5,4,2] => 3
[4,6,5,1,2,3] => [4,6,5,1,3,2] => [3,1,2,6,4,5] => [3,1,6,5,4,2] => 3
[4,6,5,1,3,2] => [4,6,5,1,3,2] => [3,1,2,6,4,5] => [3,1,6,5,4,2] => 3
[4,6,5,2,1,3] => [4,6,5,2,1,3] => [3,1,2,5,6,4] => [3,1,6,5,4,2] => 3
[4,6,5,2,3,1] => [4,6,5,2,3,1] => [3,1,2,5,4,6] => [3,1,6,5,4,2] => 3
[4,6,5,3,1,2] => [4,6,5,3,1,2] => [3,1,2,4,6,5] => [3,1,6,5,4,2] => 3
[4,6,5,3,2,1] => [4,6,5,3,2,1] => [3,1,2,4,5,6] => [3,1,6,5,4,2] => 3
[5,1,2,3,4,6] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,2,3,6,4] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,2,4,3,6] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,2,4,6,3] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,2,6,3,4] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,2,6,4,3] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,3,2,4,6] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,3,2,6,4] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,3,4,2,6] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,3,4,6,2] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,3,6,2,4] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,3,6,4,2] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,4,2,3,6] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,4,2,6,3] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,4,3,2,6] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,4,3,6,2] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,4,6,2,3] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,4,6,3,2] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,6,2,3,4] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,6,2,4,3] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,6,3,2,4] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,6,3,4,2] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,6,4,2,3] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,1,6,4,3,2] => [5,1,6,4,3,2] => [2,6,1,3,4,5] => [2,6,1,5,4,3] => 0
[5,2,1,3,4,6] => [5,2,1,6,4,3] => [2,5,6,1,3,4] => [2,6,5,1,4,3] => 0
[5,2,1,3,6,4] => [5,2,1,6,4,3] => [2,5,6,1,3,4] => [2,6,5,1,4,3] => 0
[5,2,1,4,3,6] => [5,2,1,6,4,3] => [2,5,6,1,3,4] => [2,6,5,1,4,3] => 0
[5,2,1,4,6,3] => [5,2,1,6,4,3] => [2,5,6,1,3,4] => [2,6,5,1,4,3] => 0
[5,2,1,6,3,4] => [5,2,1,6,4,3] => [2,5,6,1,3,4] => [2,6,5,1,4,3] => 0
[5,2,1,6,4,3] => [5,2,1,6,4,3] => [2,5,6,1,3,4] => [2,6,5,1,4,3] => 0
[5,2,3,1,4,6] => [5,2,6,1,4,3] => [2,5,1,6,3,4] => [2,6,1,5,4,3] => 0
[5,2,3,1,6,4] => [5,2,6,1,4,3] => [2,5,1,6,3,4] => [2,6,1,5,4,3] => 0
[5,2,3,4,1,6] => [5,2,6,4,1,3] => [2,5,1,3,6,4] => [2,6,1,5,4,3] => 0
[5,2,3,4,6,1] => [5,2,6,4,3,1] => [2,5,1,3,4,6] => [2,6,1,5,4,3] => 0
[5,2,3,6,1,4] => [5,2,6,4,1,3] => [2,5,1,3,6,4] => [2,6,1,5,4,3] => 0
[5,2,3,6,4,1] => [5,2,6,4,3,1] => [2,5,1,3,4,6] => [2,6,1,5,4,3] => 0
[5,2,4,1,3,6] => [5,2,6,1,4,3] => [2,5,1,6,3,4] => [2,6,1,5,4,3] => 0
[5,2,4,1,6,3] => [5,2,6,1,4,3] => [2,5,1,6,3,4] => [2,6,1,5,4,3] => 0
[5,2,4,3,1,6] => [5,2,6,4,1,3] => [2,5,1,3,6,4] => [2,6,1,5,4,3] => 0
[5,2,4,3,6,1] => [5,2,6,4,3,1] => [2,5,1,3,4,6] => [2,6,1,5,4,3] => 0
[5,2,4,6,1,3] => [5,2,6,4,1,3] => [2,5,1,3,6,4] => [2,6,1,5,4,3] => 0
[5,2,4,6,3,1] => [5,2,6,4,3,1] => [2,5,1,3,4,6] => [2,6,1,5,4,3] => 0
[5,2,6,1,3,4] => [5,2,6,1,4,3] => [2,5,1,6,3,4] => [2,6,1,5,4,3] => 0
[5,2,6,1,4,3] => [5,2,6,1,4,3] => [2,5,1,6,3,4] => [2,6,1,5,4,3] => 0
[5,2,6,3,1,4] => [5,2,6,4,1,3] => [2,5,1,3,6,4] => [2,6,1,5,4,3] => 0
[5,2,6,3,4,1] => [5,2,6,4,3,1] => [2,5,1,3,4,6] => [2,6,1,5,4,3] => 0
[5,2,6,4,1,3] => [5,2,6,4,1,3] => [2,5,1,3,6,4] => [2,6,1,5,4,3] => 0
[5,2,6,4,3,1] => [5,2,6,4,3,1] => [2,5,1,3,4,6] => [2,6,1,5,4,3] => 0
[5,3,1,2,4,6] => [5,3,1,6,4,2] => [2,4,6,1,3,5] => [2,6,5,1,4,3] => 0
[5,3,1,2,6,4] => [5,3,1,6,4,2] => [2,4,6,1,3,5] => [2,6,5,1,4,3] => 0
[5,3,1,4,2,6] => [5,3,1,6,4,2] => [2,4,6,1,3,5] => [2,6,5,1,4,3] => 0
[5,3,1,4,6,2] => [5,3,1,6,4,2] => [2,4,6,1,3,5] => [2,6,5,1,4,3] => 0
[5,3,1,6,2,4] => [5,3,1,6,4,2] => [2,4,6,1,3,5] => [2,6,5,1,4,3] => 0
[5,3,1,6,4,2] => [5,3,1,6,4,2] => [2,4,6,1,3,5] => [2,6,5,1,4,3] => 0
[5,3,2,1,4,6] => [5,3,2,1,6,4] => [2,4,5,6,1,3] => [2,6,5,4,1,3] => 0
[5,3,2,1,6,4] => [5,3,2,1,6,4] => [2,4,5,6,1,3] => [2,6,5,4,1,3] => 0
[5,3,2,4,1,6] => [5,3,2,6,1,4] => [2,4,5,1,6,3] => [2,6,5,1,4,3] => 0
[5,3,2,4,6,1] => [5,3,2,6,4,1] => [2,4,5,1,3,6] => [2,6,5,1,4,3] => 0
[5,3,2,6,1,4] => [5,3,2,6,1,4] => [2,4,5,1,6,3] => [2,6,5,1,4,3] => 0
[5,3,2,6,4,1] => [5,3,2,6,4,1] => [2,4,5,1,3,6] => [2,6,5,1,4,3] => 0
[5,3,4,1,2,6] => [5,3,6,1,4,2] => [2,4,1,6,3,5] => [2,6,1,5,4,3] => 0
[5,3,4,1,6,2] => [5,3,6,1,4,2] => [2,4,1,6,3,5] => [2,6,1,5,4,3] => 0
[5,3,4,2,1,6] => [5,3,6,2,1,4] => [2,4,1,5,6,3] => [2,6,1,5,4,3] => 0
[5,3,4,2,6,1] => [5,3,6,2,4,1] => [2,4,1,5,3,6] => [2,6,1,5,4,3] => 0
[5,3,4,6,1,2] => [5,3,6,4,1,2] => [2,4,1,3,6,5] => [2,6,1,5,4,3] => 0
[5,3,4,6,2,1] => [5,3,6,4,2,1] => [2,4,1,3,5,6] => [2,6,1,5,4,3] => 0
[5,3,6,1,2,4] => [5,3,6,1,4,2] => [2,4,1,6,3,5] => [2,6,1,5,4,3] => 0
[5,3,6,1,4,2] => [5,3,6,1,4,2] => [2,4,1,6,3,5] => [2,6,1,5,4,3] => 0
[5,3,6,2,1,4] => [5,3,6,2,1,4] => [2,4,1,5,6,3] => [2,6,1,5,4,3] => 0
[5,3,6,2,4,1] => [5,3,6,2,4,1] => [2,4,1,5,3,6] => [2,6,1,5,4,3] => 0
[5,3,6,4,1,2] => [5,3,6,4,1,2] => [2,4,1,3,6,5] => [2,6,1,5,4,3] => 0
[5,3,6,4,2,1] => [5,3,6,4,2,1] => [2,4,1,3,5,6] => [2,6,1,5,4,3] => 0
[5,4,1,2,3,6] => [5,4,1,6,3,2] => [2,3,6,1,4,5] => [2,6,5,1,4,3] => 0
[5,4,1,2,6,3] => [5,4,1,6,3,2] => [2,3,6,1,4,5] => [2,6,5,1,4,3] => 0
[5,4,1,3,2,6] => [5,4,1,6,3,2] => [2,3,6,1,4,5] => [2,6,5,1,4,3] => 0
[5,4,1,3,6,2] => [5,4,1,6,3,2] => [2,3,6,1,4,5] => [2,6,5,1,4,3] => 0
[5,4,1,6,2,3] => [5,4,1,6,3,2] => [2,3,6,1,4,5] => [2,6,5,1,4,3] => 0
[5,4,1,6,3,2] => [5,4,1,6,3,2] => [2,3,6,1,4,5] => [2,6,5,1,4,3] => 0
[5,4,2,1,3,6] => [5,4,2,1,6,3] => [2,3,5,6,1,4] => [2,6,5,4,1,3] => 0
[5,4,2,1,6,3] => [5,4,2,1,6,3] => [2,3,5,6,1,4] => [2,6,5,4,1,3] => 0
[5,4,2,3,1,6] => [5,4,2,6,1,3] => [2,3,5,1,6,4] => [2,6,5,1,4,3] => 0
[5,4,2,3,6,1] => [5,4,2,6,3,1] => [2,3,5,1,4,6] => [2,6,5,1,4,3] => 0
[5,4,2,6,1,3] => [5,4,2,6,1,3] => [2,3,5,1,6,4] => [2,6,5,1,4,3] => 0
[5,4,2,6,3,1] => [5,4,2,6,3,1] => [2,3,5,1,4,6] => [2,6,5,1,4,3] => 0
[5,4,3,1,2,6] => [5,4,3,1,6,2] => [2,3,4,6,1,5] => [2,6,5,4,1,3] => 0
[5,4,3,1,6,2] => [5,4,3,1,6,2] => [2,3,4,6,1,5] => [2,6,5,4,1,3] => 0
[5,4,3,2,1,6] => [5,4,3,2,1,6] => [2,3,4,5,6,1] => [2,6,5,4,3,1] => 0
[5,4,3,2,6,1] => [5,4,3,2,6,1] => [2,3,4,5,1,6] => [2,6,5,4,1,3] => 0
[5,4,3,6,1,2] => [5,4,3,6,1,2] => [2,3,4,1,6,5] => [2,6,5,1,4,3] => 0
[5,4,3,6,2,1] => [5,4,3,6,2,1] => [2,3,4,1,5,6] => [2,6,5,1,4,3] => 0
[5,4,6,1,2,3] => [5,4,6,1,3,2] => [2,3,1,6,4,5] => [2,6,1,5,4,3] => 0
[5,4,6,1,3,2] => [5,4,6,1,3,2] => [2,3,1,6,4,5] => [2,6,1,5,4,3] => 0
[5,4,6,2,1,3] => [5,4,6,2,1,3] => [2,3,1,5,6,4] => [2,6,1,5,4,3] => 0
[5,4,6,2,3,1] => [5,4,6,2,3,1] => [2,3,1,5,4,6] => [2,6,1,5,4,3] => 0
[5,4,6,3,1,2] => [5,4,6,3,1,2] => [2,3,1,4,6,5] => [2,6,1,5,4,3] => 0
[5,4,6,3,2,1] => [5,4,6,3,2,1] => [2,3,1,4,5,6] => [2,6,1,5,4,3] => 0
[5,6,1,2,3,4] => [5,6,1,4,3,2] => [2,1,6,3,4,5] => [2,1,6,5,4,3] => 4
[5,6,1,2,4,3] => [5,6,1,4,3,2] => [2,1,6,3,4,5] => [2,1,6,5,4,3] => 4
[5,6,1,3,2,4] => [5,6,1,4,3,2] => [2,1,6,3,4,5] => [2,1,6,5,4,3] => 4
[5,6,1,3,4,2] => [5,6,1,4,3,2] => [2,1,6,3,4,5] => [2,1,6,5,4,3] => 4
[5,6,1,4,2,3] => [5,6,1,4,3,2] => [2,1,6,3,4,5] => [2,1,6,5,4,3] => 4
[5,6,1,4,3,2] => [5,6,1,4,3,2] => [2,1,6,3,4,5] => [2,1,6,5,4,3] => 4
[5,6,2,1,3,4] => [5,6,2,1,4,3] => [2,1,5,6,3,4] => [2,1,6,5,4,3] => 4
[5,6,2,1,4,3] => [5,6,2,1,4,3] => [2,1,5,6,3,4] => [2,1,6,5,4,3] => 4
[5,6,2,3,1,4] => [5,6,2,4,1,3] => [2,1,5,3,6,4] => [2,1,6,5,4,3] => 4
[5,6,2,3,4,1] => [5,6,2,4,3,1] => [2,1,5,3,4,6] => [2,1,6,5,4,3] => 4
[5,6,2,4,1,3] => [5,6,2,4,1,3] => [2,1,5,3,6,4] => [2,1,6,5,4,3] => 4
[5,6,2,4,3,1] => [5,6,2,4,3,1] => [2,1,5,3,4,6] => [2,1,6,5,4,3] => 4
[5,6,3,1,2,4] => [5,6,3,1,4,2] => [2,1,4,6,3,5] => [2,1,6,5,4,3] => 4
[5,6,3,1,4,2] => [5,6,3,1,4,2] => [2,1,4,6,3,5] => [2,1,6,5,4,3] => 4
[5,6,3,2,1,4] => [5,6,3,2,1,4] => [2,1,4,5,6,3] => [2,1,6,5,4,3] => 4
[5,6,3,2,4,1] => [5,6,3,2,4,1] => [2,1,4,5,3,6] => [2,1,6,5,4,3] => 4
[5,6,3,4,1,2] => [5,6,3,4,1,2] => [2,1,4,3,6,5] => [2,1,6,5,4,3] => 4
[5,6,3,4,2,1] => [5,6,3,4,2,1] => [2,1,4,3,5,6] => [2,1,6,5,4,3] => 4
[5,6,4,1,2,3] => [5,6,4,1,3,2] => [2,1,3,6,4,5] => [2,1,6,5,4,3] => 4
[5,6,4,1,3,2] => [5,6,4,1,3,2] => [2,1,3,6,4,5] => [2,1,6,5,4,3] => 4
[5,6,4,2,1,3] => [5,6,4,2,1,3] => [2,1,3,5,6,4] => [2,1,6,5,4,3] => 4
[5,6,4,2,3,1] => [5,6,4,2,3,1] => [2,1,3,5,4,6] => [2,1,6,5,4,3] => 4
[5,6,4,3,1,2] => [5,6,4,3,1,2] => [2,1,3,4,6,5] => [2,1,6,5,4,3] => 4
[5,6,4,3,2,1] => [5,6,4,3,2,1] => [2,1,3,4,5,6] => [2,1,6,5,4,3] => 4
[6,1,2,3,4,5] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,2,3,5,4] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,2,4,3,5] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,2,4,5,3] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,2,5,3,4] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,2,5,4,3] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,3,2,4,5] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,3,2,5,4] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,3,4,2,5] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,3,4,5,2] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,3,5,2,4] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,3,5,4,2] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,4,2,3,5] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,4,2,5,3] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,4,3,2,5] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,4,3,5,2] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,4,5,2,3] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,4,5,3,2] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,5,2,3,4] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,5,2,4,3] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,5,3,2,4] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,5,3,4,2] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,5,4,2,3] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,1,5,4,3,2] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,5,4,3,2] => 0
[6,2,1,3,4,5] => [6,2,1,5,4,3] => [1,5,6,2,3,4] => [1,6,5,4,3,2] => 0
[6,2,1,3,5,4] => [6,2,1,5,4,3] => [1,5,6,2,3,4] => [1,6,5,4,3,2] => 0
[6,2,1,4,3,5] => [6,2,1,5,4,3] => [1,5,6,2,3,4] => [1,6,5,4,3,2] => 0
[6,2,1,4,5,3] => [6,2,1,5,4,3] => [1,5,6,2,3,4] => [1,6,5,4,3,2] => 0
[6,2,1,5,3,4] => [6,2,1,5,4,3] => [1,5,6,2,3,4] => [1,6,5,4,3,2] => 0
[6,2,1,5,4,3] => [6,2,1,5,4,3] => [1,5,6,2,3,4] => [1,6,5,4,3,2] => 0
[6,2,3,1,4,5] => [6,2,5,1,4,3] => [1,5,2,6,3,4] => [1,6,5,4,3,2] => 0
[6,2,3,1,5,4] => [6,2,5,1,4,3] => [1,5,2,6,3,4] => [1,6,5,4,3,2] => 0
[6,2,3,4,1,5] => [6,2,5,4,1,3] => [1,5,2,3,6,4] => [1,6,5,4,3,2] => 0
[6,2,3,4,5,1] => [6,2,5,4,3,1] => [1,5,2,3,4,6] => [1,6,5,4,3,2] => 0
[6,2,3,5,1,4] => [6,2,5,4,1,3] => [1,5,2,3,6,4] => [1,6,5,4,3,2] => 0
[6,2,3,5,4,1] => [6,2,5,4,3,1] => [1,5,2,3,4,6] => [1,6,5,4,3,2] => 0
[6,2,4,1,3,5] => [6,2,5,1,4,3] => [1,5,2,6,3,4] => [1,6,5,4,3,2] => 0
[6,2,4,1,5,3] => [6,2,5,1,4,3] => [1,5,2,6,3,4] => [1,6,5,4,3,2] => 0
[6,2,4,3,1,5] => [6,2,5,4,1,3] => [1,5,2,3,6,4] => [1,6,5,4,3,2] => 0
[6,2,4,3,5,1] => [6,2,5,4,3,1] => [1,5,2,3,4,6] => [1,6,5,4,3,2] => 0
[6,2,4,5,1,3] => [6,2,5,4,1,3] => [1,5,2,3,6,4] => [1,6,5,4,3,2] => 0
[6,2,4,5,3,1] => [6,2,5,4,3,1] => [1,5,2,3,4,6] => [1,6,5,4,3,2] => 0
[6,2,5,1,3,4] => [6,2,5,1,4,3] => [1,5,2,6,3,4] => [1,6,5,4,3,2] => 0
[6,2,5,1,4,3] => [6,2,5,1,4,3] => [1,5,2,6,3,4] => [1,6,5,4,3,2] => 0
[6,2,5,3,1,4] => [6,2,5,4,1,3] => [1,5,2,3,6,4] => [1,6,5,4,3,2] => 0
[6,2,5,3,4,1] => [6,2,5,4,3,1] => [1,5,2,3,4,6] => [1,6,5,4,3,2] => 0
[6,2,5,4,1,3] => [6,2,5,4,1,3] => [1,5,2,3,6,4] => [1,6,5,4,3,2] => 0
[6,2,5,4,3,1] => [6,2,5,4,3,1] => [1,5,2,3,4,6] => [1,6,5,4,3,2] => 0
[6,3,1,2,4,5] => [6,3,1,5,4,2] => [1,4,6,2,3,5] => [1,6,5,4,3,2] => 0
[6,3,1,2,5,4] => [6,3,1,5,4,2] => [1,4,6,2,3,5] => [1,6,5,4,3,2] => 0
[6,3,1,4,2,5] => [6,3,1,5,4,2] => [1,4,6,2,3,5] => [1,6,5,4,3,2] => 0
[6,3,1,4,5,2] => [6,3,1,5,4,2] => [1,4,6,2,3,5] => [1,6,5,4,3,2] => 0
[6,3,1,5,2,4] => [6,3,1,5,4,2] => [1,4,6,2,3,5] => [1,6,5,4,3,2] => 0
[6,3,1,5,4,2] => [6,3,1,5,4,2] => [1,4,6,2,3,5] => [1,6,5,4,3,2] => 0
[6,3,2,1,4,5] => [6,3,2,1,5,4] => [1,4,5,6,2,3] => [1,6,5,4,3,2] => 0
[6,3,2,1,5,4] => [6,3,2,1,5,4] => [1,4,5,6,2,3] => [1,6,5,4,3,2] => 0
[6,3,2,4,1,5] => [6,3,2,5,1,4] => [1,4,5,2,6,3] => [1,6,5,4,3,2] => 0
[6,3,2,4,5,1] => [6,3,2,5,4,1] => [1,4,5,2,3,6] => [1,6,5,4,3,2] => 0
[6,3,2,5,1,4] => [6,3,2,5,1,4] => [1,4,5,2,6,3] => [1,6,5,4,3,2] => 0
[6,3,2,5,4,1] => [6,3,2,5,4,1] => [1,4,5,2,3,6] => [1,6,5,4,3,2] => 0
[6,3,4,1,2,5] => [6,3,5,1,4,2] => [1,4,2,6,3,5] => [1,6,5,4,3,2] => 0
[6,3,4,1,5,2] => [6,3,5,1,4,2] => [1,4,2,6,3,5] => [1,6,5,4,3,2] => 0
[6,3,4,2,1,5] => [6,3,5,2,1,4] => [1,4,2,5,6,3] => [1,6,5,4,3,2] => 0
[6,3,4,2,5,1] => [6,3,5,2,4,1] => [1,4,2,5,3,6] => [1,6,5,4,3,2] => 0
[6,3,4,5,1,2] => [6,3,5,4,1,2] => [1,4,2,3,6,5] => [1,6,5,4,3,2] => 0
[6,3,4,5,2,1] => [6,3,5,4,2,1] => [1,4,2,3,5,6] => [1,6,5,4,3,2] => 0
[6,3,5,1,2,4] => [6,3,5,1,4,2] => [1,4,2,6,3,5] => [1,6,5,4,3,2] => 0
[6,3,5,1,4,2] => [6,3,5,1,4,2] => [1,4,2,6,3,5] => [1,6,5,4,3,2] => 0
[6,3,5,2,1,4] => [6,3,5,2,1,4] => [1,4,2,5,6,3] => [1,6,5,4,3,2] => 0
[6,3,5,2,4,1] => [6,3,5,2,4,1] => [1,4,2,5,3,6] => [1,6,5,4,3,2] => 0
[6,3,5,4,1,2] => [6,3,5,4,1,2] => [1,4,2,3,6,5] => [1,6,5,4,3,2] => 0
[6,3,5,4,2,1] => [6,3,5,4,2,1] => [1,4,2,3,5,6] => [1,6,5,4,3,2] => 0
[6,4,1,2,3,5] => [6,4,1,5,3,2] => [1,3,6,2,4,5] => [1,6,5,4,3,2] => 0
[6,4,1,2,5,3] => [6,4,1,5,3,2] => [1,3,6,2,4,5] => [1,6,5,4,3,2] => 0
[6,4,1,3,2,5] => [6,4,1,5,3,2] => [1,3,6,2,4,5] => [1,6,5,4,3,2] => 0
[6,4,1,3,5,2] => [6,4,1,5,3,2] => [1,3,6,2,4,5] => [1,6,5,4,3,2] => 0
[6,4,1,5,2,3] => [6,4,1,5,3,2] => [1,3,6,2,4,5] => [1,6,5,4,3,2] => 0
[6,4,1,5,3,2] => [6,4,1,5,3,2] => [1,3,6,2,4,5] => [1,6,5,4,3,2] => 0
[6,4,2,1,3,5] => [6,4,2,1,5,3] => [1,3,5,6,2,4] => [1,6,5,4,3,2] => 0
[6,4,2,1,5,3] => [6,4,2,1,5,3] => [1,3,5,6,2,4] => [1,6,5,4,3,2] => 0
[6,4,2,3,1,5] => [6,4,2,5,1,3] => [1,3,5,2,6,4] => [1,6,5,4,3,2] => 0
[6,4,2,3,5,1] => [6,4,2,5,3,1] => [1,3,5,2,4,6] => [1,6,5,4,3,2] => 0
[6,4,2,5,1,3] => [6,4,2,5,1,3] => [1,3,5,2,6,4] => [1,6,5,4,3,2] => 0
[6,4,2,5,3,1] => [6,4,2,5,3,1] => [1,3,5,2,4,6] => [1,6,5,4,3,2] => 0
[6,4,3,1,2,5] => [6,4,3,1,5,2] => [1,3,4,6,2,5] => [1,6,5,4,3,2] => 0
[6,4,3,1,5,2] => [6,4,3,1,5,2] => [1,3,4,6,2,5] => [1,6,5,4,3,2] => 0
[6,4,3,2,1,5] => [6,4,3,2,1,5] => [1,3,4,5,6,2] => [1,6,5,4,3,2] => 0
[6,4,3,2,5,1] => [6,4,3,2,5,1] => [1,3,4,5,2,6] => [1,6,5,4,3,2] => 0
[6,4,3,5,1,2] => [6,4,3,5,1,2] => [1,3,4,2,6,5] => [1,6,5,4,3,2] => 0
[6,4,3,5,2,1] => [6,4,3,5,2,1] => [1,3,4,2,5,6] => [1,6,5,4,3,2] => 0
[6,4,5,1,2,3] => [6,4,5,1,3,2] => [1,3,2,6,4,5] => [1,6,5,4,3,2] => 0
[6,4,5,1,3,2] => [6,4,5,1,3,2] => [1,3,2,6,4,5] => [1,6,5,4,3,2] => 0
[6,4,5,2,1,3] => [6,4,5,2,1,3] => [1,3,2,5,6,4] => [1,6,5,4,3,2] => 0
[6,4,5,2,3,1] => [6,4,5,2,3,1] => [1,3,2,5,4,6] => [1,6,5,4,3,2] => 0
[6,4,5,3,1,2] => [6,4,5,3,1,2] => [1,3,2,4,6,5] => [1,6,5,4,3,2] => 0
[6,4,5,3,2,1] => [6,4,5,3,2,1] => [1,3,2,4,5,6] => [1,6,5,4,3,2] => 0
[6,5,1,2,3,4] => [6,5,1,4,3,2] => [1,2,6,3,4,5] => [1,6,5,4,3,2] => 0
[6,5,1,2,4,3] => [6,5,1,4,3,2] => [1,2,6,3,4,5] => [1,6,5,4,3,2] => 0
[6,5,1,3,2,4] => [6,5,1,4,3,2] => [1,2,6,3,4,5] => [1,6,5,4,3,2] => 0
[6,5,1,3,4,2] => [6,5,1,4,3,2] => [1,2,6,3,4,5] => [1,6,5,4,3,2] => 0
[6,5,1,4,2,3] => [6,5,1,4,3,2] => [1,2,6,3,4,5] => [1,6,5,4,3,2] => 0
[6,5,1,4,3,2] => [6,5,1,4,3,2] => [1,2,6,3,4,5] => [1,6,5,4,3,2] => 0
[6,5,2,1,3,4] => [6,5,2,1,4,3] => [1,2,5,6,3,4] => [1,6,5,4,3,2] => 0
[6,5,2,1,4,3] => [6,5,2,1,4,3] => [1,2,5,6,3,4] => [1,6,5,4,3,2] => 0
[6,5,2,3,1,4] => [6,5,2,4,1,3] => [1,2,5,3,6,4] => [1,6,5,4,3,2] => 0
[6,5,2,3,4,1] => [6,5,2,4,3,1] => [1,2,5,3,4,6] => [1,6,5,4,3,2] => 0
[6,5,2,4,1,3] => [6,5,2,4,1,3] => [1,2,5,3,6,4] => [1,6,5,4,3,2] => 0
[6,5,2,4,3,1] => [6,5,2,4,3,1] => [1,2,5,3,4,6] => [1,6,5,4,3,2] => 0
[6,5,3,1,2,4] => [6,5,3,1,4,2] => [1,2,4,6,3,5] => [1,6,5,4,3,2] => 0
[6,5,3,1,4,2] => [6,5,3,1,4,2] => [1,2,4,6,3,5] => [1,6,5,4,3,2] => 0
[6,5,3,2,1,4] => [6,5,3,2,1,4] => [1,2,4,5,6,3] => [1,6,5,4,3,2] => 0
[6,5,3,2,4,1] => [6,5,3,2,4,1] => [1,2,4,5,3,6] => [1,6,5,4,3,2] => 0
[6,5,3,4,1,2] => [6,5,3,4,1,2] => [1,2,4,3,6,5] => [1,6,5,4,3,2] => 0
[6,5,3,4,2,1] => [6,5,3,4,2,1] => [1,2,4,3,5,6] => [1,6,5,4,3,2] => 0
[6,5,4,1,2,3] => [6,5,4,1,3,2] => [1,2,3,6,4,5] => [1,6,5,4,3,2] => 0
[6,5,4,1,3,2] => [6,5,4,1,3,2] => [1,2,3,6,4,5] => [1,6,5,4,3,2] => 0
[6,5,4,2,1,3] => [6,5,4,2,1,3] => [1,2,3,5,6,4] => [1,6,5,4,3,2] => 0
[6,5,4,2,3,1] => [6,5,4,2,3,1] => [1,2,3,5,4,6] => [1,6,5,4,3,2] => 0
[6,5,4,3,1,2] => [6,5,4,3,1,2] => [1,2,3,4,6,5] => [1,6,5,4,3,2] => 0
[6,5,4,3,2,1] => [6,5,4,3,2,1] => [1,2,3,4,5,6] => [1,6,5,4,3,2] => 0
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
5,1 18,4,2 84,18,12,6 480,96,72,48,24
F1=1
F2=2
F3=5+q
F4=18+4 q+2 q2
F5=84+18 q+12 q2+6 q3
F6=480+96 q+72 q2+48 q3+24 q4
Description
The number of occurrences of the pattern 21-3.
See Permutations/#Pattern-avoiding_permutations for the definition of the pattern 21−3.
See Permutations/#Pattern-avoiding_permutations for the definition of the pattern 21−3.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation σ of length n is the permutation τ with τ(i)=n+1−σ(i)
The complement of a permutation σ of length n is the permutation τ with τ(i)=n+1−σ(i)
Map
Simion-Schmidt map
Description
The Simion-Schmidt map sends any permutation to a 123-avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between 132-avoiding permutations and 123-avoiding permutations, see [1, Proposition 19].
Details can be found in [1].
In particular, this is a bijection between 132-avoiding permutations and 123-avoiding permutations, see [1, Proposition 19].
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