Identifier
-
Mp00254:
Permutations
—Inverse fireworks map⟶
Permutations
St000354: Permutations ⟶ ℤ
Values
[1,2] => [1,2] => 0
[2,1] => [2,1] => 1
[1,2,3] => [1,2,3] => 0
[1,3,2] => [1,3,2] => 1
[2,1,3] => [2,1,3] => 1
[2,3,1] => [1,3,2] => 1
[3,1,2] => [3,1,2] => 1
[3,2,1] => [3,2,1] => 2
[1,2,3,4] => [1,2,3,4] => 0
[1,2,4,3] => [1,2,4,3] => 1
[1,3,2,4] => [1,3,2,4] => 1
[1,3,4,2] => [1,2,4,3] => 1
[1,4,2,3] => [1,4,2,3] => 1
[1,4,3,2] => [1,4,3,2] => 2
[2,1,3,4] => [2,1,3,4] => 1
[2,1,4,3] => [2,1,4,3] => 2
[2,3,1,4] => [1,3,2,4] => 1
[2,3,4,1] => [1,2,4,3] => 1
[2,4,1,3] => [2,4,1,3] => 2
[2,4,3,1] => [1,4,3,2] => 2
[3,1,2,4] => [3,1,2,4] => 1
[3,1,4,2] => [2,1,4,3] => 2
[3,2,1,4] => [3,2,1,4] => 2
[3,2,4,1] => [2,1,4,3] => 2
[3,4,1,2] => [2,4,1,3] => 2
[3,4,2,1] => [1,4,3,2] => 2
[4,1,2,3] => [4,1,2,3] => 1
[4,1,3,2] => [4,1,3,2] => 2
[4,2,1,3] => [4,2,1,3] => 2
[4,2,3,1] => [4,1,3,2] => 2
[4,3,1,2] => [4,3,1,2] => 2
[4,3,2,1] => [4,3,2,1] => 3
[1,2,3,4,5] => [1,2,3,4,5] => 0
[1,2,3,5,4] => [1,2,3,5,4] => 1
[1,2,4,3,5] => [1,2,4,3,5] => 1
[1,2,4,5,3] => [1,2,3,5,4] => 1
[1,2,5,3,4] => [1,2,5,3,4] => 1
[1,2,5,4,3] => [1,2,5,4,3] => 2
[1,3,2,4,5] => [1,3,2,4,5] => 1
[1,3,2,5,4] => [1,3,2,5,4] => 2
[1,3,4,2,5] => [1,2,4,3,5] => 1
[1,3,4,5,2] => [1,2,3,5,4] => 1
[1,3,5,2,4] => [1,3,5,2,4] => 2
[1,3,5,4,2] => [1,2,5,4,3] => 2
[1,4,2,3,5] => [1,4,2,3,5] => 1
[1,4,2,5,3] => [1,3,2,5,4] => 2
[1,4,3,2,5] => [1,4,3,2,5] => 2
[1,4,3,5,2] => [1,3,2,5,4] => 2
[1,4,5,2,3] => [1,3,5,2,4] => 2
[1,4,5,3,2] => [1,2,5,4,3] => 2
[1,5,2,3,4] => [1,5,2,3,4] => 1
[1,5,2,4,3] => [1,5,2,4,3] => 2
[1,5,3,2,4] => [1,5,3,2,4] => 2
[1,5,3,4,2] => [1,5,2,4,3] => 2
[1,5,4,2,3] => [1,5,4,2,3] => 2
[1,5,4,3,2] => [1,5,4,3,2] => 3
[2,1,3,4,5] => [2,1,3,4,5] => 1
[2,1,3,5,4] => [2,1,3,5,4] => 2
[2,1,4,3,5] => [2,1,4,3,5] => 2
[2,1,4,5,3] => [2,1,3,5,4] => 2
[2,1,5,3,4] => [2,1,5,3,4] => 2
[2,1,5,4,3] => [2,1,5,4,3] => 3
[2,3,1,4,5] => [1,3,2,4,5] => 1
[2,3,1,5,4] => [1,3,2,5,4] => 2
[2,3,4,1,5] => [1,2,4,3,5] => 1
[2,3,4,5,1] => [1,2,3,5,4] => 1
[2,3,5,1,4] => [1,3,5,2,4] => 2
[2,3,5,4,1] => [1,2,5,4,3] => 2
[2,4,1,3,5] => [2,4,1,3,5] => 2
[2,4,1,5,3] => [1,3,2,5,4] => 2
[2,4,3,1,5] => [1,4,3,2,5] => 2
[2,4,3,5,1] => [1,3,2,5,4] => 2
[2,4,5,1,3] => [1,3,5,2,4] => 2
[2,4,5,3,1] => [1,2,5,4,3] => 2
[2,5,1,3,4] => [2,5,1,3,4] => 2
[2,5,1,4,3] => [2,5,1,4,3] => 3
[2,5,3,1,4] => [1,5,3,2,4] => 2
[2,5,3,4,1] => [1,5,2,4,3] => 2
[2,5,4,1,3] => [2,5,4,1,3] => 3
[2,5,4,3,1] => [1,5,4,3,2] => 3
[3,1,2,4,5] => [3,1,2,4,5] => 1
[3,1,2,5,4] => [3,1,2,5,4] => 2
[3,1,4,2,5] => [2,1,4,3,5] => 2
[3,1,4,5,2] => [2,1,3,5,4] => 2
[3,1,5,2,4] => [3,1,5,2,4] => 2
[3,1,5,4,2] => [2,1,5,4,3] => 3
[3,2,1,4,5] => [3,2,1,4,5] => 2
[3,2,1,5,4] => [3,2,1,5,4] => 3
[3,2,4,1,5] => [2,1,4,3,5] => 2
[3,2,4,5,1] => [2,1,3,5,4] => 2
[3,2,5,1,4] => [3,2,5,1,4] => 3
[3,2,5,4,1] => [2,1,5,4,3] => 3
[3,4,1,2,5] => [2,4,1,3,5] => 2
[3,4,1,5,2] => [1,3,2,5,4] => 2
[3,4,2,1,5] => [1,4,3,2,5] => 2
[3,4,2,5,1] => [1,3,2,5,4] => 2
[3,4,5,1,2] => [1,3,5,2,4] => 2
[3,4,5,2,1] => [1,2,5,4,3] => 2
[3,5,1,2,4] => [3,5,1,2,4] => 2
[3,5,1,4,2] => [2,5,1,4,3] => 3
[3,5,2,1,4] => [3,5,2,1,4] => 3
>>> Load all 1961 entries. <<<[3,5,2,4,1] => [2,5,1,4,3] => 3
[3,5,4,1,2] => [2,5,4,1,3] => 3
[3,5,4,2,1] => [1,5,4,3,2] => 3
[4,1,2,3,5] => [4,1,2,3,5] => 1
[4,1,2,5,3] => [3,1,2,5,4] => 2
[4,1,3,2,5] => [4,1,3,2,5] => 2
[4,1,3,5,2] => [3,1,2,5,4] => 2
[4,1,5,2,3] => [3,1,5,2,4] => 2
[4,1,5,3,2] => [2,1,5,4,3] => 3
[4,2,1,3,5] => [4,2,1,3,5] => 2
[4,2,1,5,3] => [3,2,1,5,4] => 3
[4,2,3,1,5] => [4,1,3,2,5] => 2
[4,2,3,5,1] => [3,1,2,5,4] => 2
[4,2,5,1,3] => [3,2,5,1,4] => 3
[4,2,5,3,1] => [2,1,5,4,3] => 3
[4,3,1,2,5] => [4,3,1,2,5] => 2
[4,3,1,5,2] => [3,2,1,5,4] => 3
[4,3,2,1,5] => [4,3,2,1,5] => 3
[4,3,2,5,1] => [3,2,1,5,4] => 3
[4,3,5,1,2] => [3,2,5,1,4] => 3
[4,3,5,2,1] => [2,1,5,4,3] => 3
[4,5,1,2,3] => [3,5,1,2,4] => 2
[4,5,1,3,2] => [2,5,1,4,3] => 3
[4,5,2,1,3] => [3,5,2,1,4] => 3
[4,5,2,3,1] => [2,5,1,4,3] => 3
[4,5,3,1,2] => [2,5,4,1,3] => 3
[4,5,3,2,1] => [1,5,4,3,2] => 3
[5,1,2,3,4] => [5,1,2,3,4] => 1
[5,1,2,4,3] => [5,1,2,4,3] => 2
[5,1,3,2,4] => [5,1,3,2,4] => 2
[5,1,3,4,2] => [5,1,2,4,3] => 2
[5,1,4,2,3] => [5,1,4,2,3] => 2
[5,1,4,3,2] => [5,1,4,3,2] => 3
[5,2,1,3,4] => [5,2,1,3,4] => 2
[5,2,1,4,3] => [5,2,1,4,3] => 3
[5,2,3,1,4] => [5,1,3,2,4] => 2
[5,2,3,4,1] => [5,1,2,4,3] => 2
[5,2,4,1,3] => [5,2,4,1,3] => 3
[5,2,4,3,1] => [5,1,4,3,2] => 3
[5,3,1,2,4] => [5,3,1,2,4] => 2
[5,3,1,4,2] => [5,2,1,4,3] => 3
[5,3,2,1,4] => [5,3,2,1,4] => 3
[5,3,2,4,1] => [5,2,1,4,3] => 3
[5,3,4,1,2] => [5,2,4,1,3] => 3
[5,3,4,2,1] => [5,1,4,3,2] => 3
[5,4,1,2,3] => [5,4,1,2,3] => 2
[5,4,1,3,2] => [5,4,1,3,2] => 3
[5,4,2,1,3] => [5,4,2,1,3] => 3
[5,4,2,3,1] => [5,4,1,3,2] => 3
[5,4,3,1,2] => [5,4,3,1,2] => 3
[5,4,3,2,1] => [5,4,3,2,1] => 4
[1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,3,4,6,5] => [1,2,3,4,6,5] => 1
[1,2,3,5,4,6] => [1,2,3,5,4,6] => 1
[1,2,3,5,6,4] => [1,2,3,4,6,5] => 1
[1,2,3,6,4,5] => [1,2,3,6,4,5] => 1
[1,2,3,6,5,4] => [1,2,3,6,5,4] => 2
[1,2,4,3,5,6] => [1,2,4,3,5,6] => 1
[1,2,4,3,6,5] => [1,2,4,3,6,5] => 2
[1,2,4,5,3,6] => [1,2,3,5,4,6] => 1
[1,2,4,5,6,3] => [1,2,3,4,6,5] => 1
[1,2,4,6,3,5] => [1,2,4,6,3,5] => 2
[1,2,4,6,5,3] => [1,2,3,6,5,4] => 2
[1,2,5,3,4,6] => [1,2,5,3,4,6] => 1
[1,2,5,3,6,4] => [1,2,4,3,6,5] => 2
[1,2,5,4,3,6] => [1,2,5,4,3,6] => 2
[1,2,5,4,6,3] => [1,2,4,3,6,5] => 2
[1,2,5,6,3,4] => [1,2,4,6,3,5] => 2
[1,2,5,6,4,3] => [1,2,3,6,5,4] => 2
[1,2,6,3,4,5] => [1,2,6,3,4,5] => 1
[1,2,6,3,5,4] => [1,2,6,3,5,4] => 2
[1,2,6,4,3,5] => [1,2,6,4,3,5] => 2
[1,2,6,4,5,3] => [1,2,6,3,5,4] => 2
[1,2,6,5,3,4] => [1,2,6,5,3,4] => 2
[1,2,6,5,4,3] => [1,2,6,5,4,3] => 3
[1,3,2,4,5,6] => [1,3,2,4,5,6] => 1
[1,3,2,4,6,5] => [1,3,2,4,6,5] => 2
[1,3,2,5,4,6] => [1,3,2,5,4,6] => 2
[1,3,2,5,6,4] => [1,3,2,4,6,5] => 2
[1,3,2,6,4,5] => [1,3,2,6,4,5] => 2
[1,3,2,6,5,4] => [1,3,2,6,5,4] => 3
[1,3,4,2,5,6] => [1,2,4,3,5,6] => 1
[1,3,4,2,6,5] => [1,2,4,3,6,5] => 2
[1,3,4,5,2,6] => [1,2,3,5,4,6] => 1
[1,3,4,5,6,2] => [1,2,3,4,6,5] => 1
[1,3,4,6,2,5] => [1,2,4,6,3,5] => 2
[1,3,4,6,5,2] => [1,2,3,6,5,4] => 2
[1,3,5,2,4,6] => [1,3,5,2,4,6] => 2
[1,3,5,2,6,4] => [1,2,4,3,6,5] => 2
[1,3,5,4,2,6] => [1,2,5,4,3,6] => 2
[1,3,5,4,6,2] => [1,2,4,3,6,5] => 2
[1,3,5,6,2,4] => [1,2,4,6,3,5] => 2
[1,3,5,6,4,2] => [1,2,3,6,5,4] => 2
[1,3,6,2,4,5] => [1,3,6,2,4,5] => 2
[1,3,6,2,5,4] => [1,3,6,2,5,4] => 3
[1,3,6,4,2,5] => [1,2,6,4,3,5] => 2
[1,3,6,4,5,2] => [1,2,6,3,5,4] => 2
[1,3,6,5,2,4] => [1,3,6,5,2,4] => 3
[1,3,6,5,4,2] => [1,2,6,5,4,3] => 3
[1,4,2,3,5,6] => [1,4,2,3,5,6] => 1
[1,4,2,3,6,5] => [1,4,2,3,6,5] => 2
[1,4,2,5,3,6] => [1,3,2,5,4,6] => 2
[1,4,2,5,6,3] => [1,3,2,4,6,5] => 2
[1,4,2,6,3,5] => [1,4,2,6,3,5] => 2
[1,4,2,6,5,3] => [1,3,2,6,5,4] => 3
[1,4,3,2,5,6] => [1,4,3,2,5,6] => 2
[1,4,3,2,6,5] => [1,4,3,2,6,5] => 3
[1,4,3,5,2,6] => [1,3,2,5,4,6] => 2
[1,4,3,5,6,2] => [1,3,2,4,6,5] => 2
[1,4,3,6,2,5] => [1,4,3,6,2,5] => 3
[1,4,3,6,5,2] => [1,3,2,6,5,4] => 3
[1,4,5,2,3,6] => [1,3,5,2,4,6] => 2
[1,4,5,2,6,3] => [1,2,4,3,6,5] => 2
[1,4,5,3,2,6] => [1,2,5,4,3,6] => 2
[1,4,5,3,6,2] => [1,2,4,3,6,5] => 2
[1,4,5,6,2,3] => [1,2,4,6,3,5] => 2
[1,4,5,6,3,2] => [1,2,3,6,5,4] => 2
[1,4,6,2,3,5] => [1,4,6,2,3,5] => 2
[1,4,6,2,5,3] => [1,3,6,2,5,4] => 3
[1,4,6,3,2,5] => [1,4,6,3,2,5] => 3
[1,4,6,3,5,2] => [1,3,6,2,5,4] => 3
[1,4,6,5,2,3] => [1,3,6,5,2,4] => 3
[1,4,6,5,3,2] => [1,2,6,5,4,3] => 3
[1,5,2,3,4,6] => [1,5,2,3,4,6] => 1
[1,5,2,3,6,4] => [1,4,2,3,6,5] => 2
[1,5,2,4,3,6] => [1,5,2,4,3,6] => 2
[1,5,2,4,6,3] => [1,4,2,3,6,5] => 2
[1,5,2,6,3,4] => [1,4,2,6,3,5] => 2
[1,5,2,6,4,3] => [1,3,2,6,5,4] => 3
[1,5,3,2,4,6] => [1,5,3,2,4,6] => 2
[1,5,3,2,6,4] => [1,4,3,2,6,5] => 3
[1,5,3,4,2,6] => [1,5,2,4,3,6] => 2
[1,5,3,4,6,2] => [1,4,2,3,6,5] => 2
[1,5,3,6,2,4] => [1,4,3,6,2,5] => 3
[1,5,3,6,4,2] => [1,3,2,6,5,4] => 3
[1,5,4,2,3,6] => [1,5,4,2,3,6] => 2
[1,5,4,2,6,3] => [1,4,3,2,6,5] => 3
[1,5,4,3,2,6] => [1,5,4,3,2,6] => 3
[1,5,4,3,6,2] => [1,4,3,2,6,5] => 3
[1,5,4,6,2,3] => [1,4,3,6,2,5] => 3
[1,5,4,6,3,2] => [1,3,2,6,5,4] => 3
[1,5,6,2,3,4] => [1,4,6,2,3,5] => 2
[1,5,6,2,4,3] => [1,3,6,2,5,4] => 3
[1,5,6,3,2,4] => [1,4,6,3,2,5] => 3
[1,5,6,3,4,2] => [1,3,6,2,5,4] => 3
[1,5,6,4,2,3] => [1,3,6,5,2,4] => 3
[1,5,6,4,3,2] => [1,2,6,5,4,3] => 3
[1,6,2,3,4,5] => [1,6,2,3,4,5] => 1
[1,6,2,3,5,4] => [1,6,2,3,5,4] => 2
[1,6,2,4,3,5] => [1,6,2,4,3,5] => 2
[1,6,2,4,5,3] => [1,6,2,3,5,4] => 2
[1,6,2,5,3,4] => [1,6,2,5,3,4] => 2
[1,6,2,5,4,3] => [1,6,2,5,4,3] => 3
[1,6,3,2,4,5] => [1,6,3,2,4,5] => 2
[1,6,3,2,5,4] => [1,6,3,2,5,4] => 3
[1,6,3,4,2,5] => [1,6,2,4,3,5] => 2
[1,6,3,4,5,2] => [1,6,2,3,5,4] => 2
[1,6,3,5,2,4] => [1,6,3,5,2,4] => 3
[1,6,3,5,4,2] => [1,6,2,5,4,3] => 3
[1,6,4,2,3,5] => [1,6,4,2,3,5] => 2
[1,6,4,2,5,3] => [1,6,3,2,5,4] => 3
[1,6,4,3,2,5] => [1,6,4,3,2,5] => 3
[1,6,4,3,5,2] => [1,6,3,2,5,4] => 3
[1,6,4,5,2,3] => [1,6,3,5,2,4] => 3
[1,6,4,5,3,2] => [1,6,2,5,4,3] => 3
[1,6,5,2,3,4] => [1,6,5,2,3,4] => 2
[1,6,5,2,4,3] => [1,6,5,2,4,3] => 3
[1,6,5,3,2,4] => [1,6,5,3,2,4] => 3
[1,6,5,3,4,2] => [1,6,5,2,4,3] => 3
[1,6,5,4,2,3] => [1,6,5,4,2,3] => 3
[1,6,5,4,3,2] => [1,6,5,4,3,2] => 4
[2,1,3,4,5,6] => [2,1,3,4,5,6] => 1
[2,1,3,4,6,5] => [2,1,3,4,6,5] => 2
[2,1,3,5,4,6] => [2,1,3,5,4,6] => 2
[2,1,3,5,6,4] => [2,1,3,4,6,5] => 2
[2,1,3,6,4,5] => [2,1,3,6,4,5] => 2
[2,1,3,6,5,4] => [2,1,3,6,5,4] => 3
[2,1,4,3,5,6] => [2,1,4,3,5,6] => 2
[2,1,4,3,6,5] => [2,1,4,3,6,5] => 3
[2,1,4,5,3,6] => [2,1,3,5,4,6] => 2
[2,1,4,5,6,3] => [2,1,3,4,6,5] => 2
[2,1,4,6,3,5] => [2,1,4,6,3,5] => 3
[2,1,4,6,5,3] => [2,1,3,6,5,4] => 3
[2,1,5,3,4,6] => [2,1,5,3,4,6] => 2
[2,1,5,3,6,4] => [2,1,4,3,6,5] => 3
[2,1,5,4,3,6] => [2,1,5,4,3,6] => 3
[2,1,5,4,6,3] => [2,1,4,3,6,5] => 3
[2,1,5,6,3,4] => [2,1,4,6,3,5] => 3
[2,1,5,6,4,3] => [2,1,3,6,5,4] => 3
[2,1,6,3,4,5] => [2,1,6,3,4,5] => 2
[2,1,6,3,5,4] => [2,1,6,3,5,4] => 3
[2,1,6,4,3,5] => [2,1,6,4,3,5] => 3
[2,1,6,4,5,3] => [2,1,6,3,5,4] => 3
[2,1,6,5,3,4] => [2,1,6,5,3,4] => 3
[2,1,6,5,4,3] => [2,1,6,5,4,3] => 4
[2,3,1,4,5,6] => [1,3,2,4,5,6] => 1
[2,3,1,4,6,5] => [1,3,2,4,6,5] => 2
[2,3,1,5,4,6] => [1,3,2,5,4,6] => 2
[2,3,1,5,6,4] => [1,3,2,4,6,5] => 2
[2,3,1,6,4,5] => [1,3,2,6,4,5] => 2
[2,3,1,6,5,4] => [1,3,2,6,5,4] => 3
[2,3,4,1,5,6] => [1,2,4,3,5,6] => 1
[2,3,4,1,6,5] => [1,2,4,3,6,5] => 2
[2,3,4,5,1,6] => [1,2,3,5,4,6] => 1
[2,3,4,5,6,1] => [1,2,3,4,6,5] => 1
[2,3,4,6,1,5] => [1,2,4,6,3,5] => 2
[2,3,4,6,5,1] => [1,2,3,6,5,4] => 2
[2,3,5,1,4,6] => [1,3,5,2,4,6] => 2
[2,3,5,1,6,4] => [1,2,4,3,6,5] => 2
[2,3,5,4,1,6] => [1,2,5,4,3,6] => 2
[2,3,5,4,6,1] => [1,2,4,3,6,5] => 2
[2,3,5,6,1,4] => [1,2,4,6,3,5] => 2
[2,3,5,6,4,1] => [1,2,3,6,5,4] => 2
[2,3,6,1,4,5] => [1,3,6,2,4,5] => 2
[2,3,6,1,5,4] => [1,3,6,2,5,4] => 3
[2,3,6,4,1,5] => [1,2,6,4,3,5] => 2
[2,3,6,4,5,1] => [1,2,6,3,5,4] => 2
[2,3,6,5,1,4] => [1,3,6,5,2,4] => 3
[2,3,6,5,4,1] => [1,2,6,5,4,3] => 3
[2,4,1,3,5,6] => [2,4,1,3,5,6] => 2
[2,4,1,3,6,5] => [2,4,1,3,6,5] => 3
[2,4,1,5,3,6] => [1,3,2,5,4,6] => 2
[2,4,1,5,6,3] => [1,3,2,4,6,5] => 2
[2,4,1,6,3,5] => [2,4,1,6,3,5] => 3
[2,4,1,6,5,3] => [1,3,2,6,5,4] => 3
[2,4,3,1,5,6] => [1,4,3,2,5,6] => 2
[2,4,3,1,6,5] => [1,4,3,2,6,5] => 3
[2,4,3,5,1,6] => [1,3,2,5,4,6] => 2
[2,4,3,5,6,1] => [1,3,2,4,6,5] => 2
[2,4,3,6,1,5] => [1,4,3,6,2,5] => 3
[2,4,3,6,5,1] => [1,3,2,6,5,4] => 3
[2,4,5,1,3,6] => [1,3,5,2,4,6] => 2
[2,4,5,1,6,3] => [1,2,4,3,6,5] => 2
[2,4,5,3,1,6] => [1,2,5,4,3,6] => 2
[2,4,5,3,6,1] => [1,2,4,3,6,5] => 2
[2,4,5,6,1,3] => [1,2,4,6,3,5] => 2
[2,4,5,6,3,1] => [1,2,3,6,5,4] => 2
[2,4,6,1,3,5] => [2,4,6,1,3,5] => 3
[2,4,6,1,5,3] => [1,3,6,2,5,4] => 3
[2,4,6,3,1,5] => [1,4,6,3,2,5] => 3
[2,4,6,3,5,1] => [1,3,6,2,5,4] => 3
[2,4,6,5,1,3] => [1,3,6,5,2,4] => 3
[2,4,6,5,3,1] => [1,2,6,5,4,3] => 3
[2,5,1,3,4,6] => [2,5,1,3,4,6] => 2
[2,5,1,3,6,4] => [2,4,1,3,6,5] => 3
[2,5,1,4,3,6] => [2,5,1,4,3,6] => 3
[2,5,1,4,6,3] => [2,4,1,3,6,5] => 3
[2,5,1,6,3,4] => [2,4,1,6,3,5] => 3
[2,5,1,6,4,3] => [1,3,2,6,5,4] => 3
[2,5,3,1,4,6] => [1,5,3,2,4,6] => 2
[2,5,3,1,6,4] => [1,4,3,2,6,5] => 3
[2,5,3,4,1,6] => [1,5,2,4,3,6] => 2
[2,5,3,4,6,1] => [1,4,2,3,6,5] => 2
[2,5,3,6,1,4] => [1,4,3,6,2,5] => 3
[2,5,3,6,4,1] => [1,3,2,6,5,4] => 3
[2,5,4,1,3,6] => [2,5,4,1,3,6] => 3
[2,5,4,1,6,3] => [1,4,3,2,6,5] => 3
[2,5,4,3,1,6] => [1,5,4,3,2,6] => 3
[2,5,4,3,6,1] => [1,4,3,2,6,5] => 3
[2,5,4,6,1,3] => [1,4,3,6,2,5] => 3
[2,5,4,6,3,1] => [1,3,2,6,5,4] => 3
[2,5,6,1,3,4] => [2,4,6,1,3,5] => 3
[2,5,6,1,4,3] => [1,3,6,2,5,4] => 3
[2,5,6,3,1,4] => [1,4,6,3,2,5] => 3
[2,5,6,3,4,1] => [1,3,6,2,5,4] => 3
[2,5,6,4,1,3] => [1,3,6,5,2,4] => 3
[2,5,6,4,3,1] => [1,2,6,5,4,3] => 3
[2,6,1,3,4,5] => [2,6,1,3,4,5] => 2
[2,6,1,3,5,4] => [2,6,1,3,5,4] => 3
[2,6,1,4,3,5] => [2,6,1,4,3,5] => 3
[2,6,1,4,5,3] => [2,6,1,3,5,4] => 3
[2,6,1,5,3,4] => [2,6,1,5,3,4] => 3
[2,6,1,5,4,3] => [2,6,1,5,4,3] => 4
[2,6,3,1,4,5] => [1,6,3,2,4,5] => 2
[2,6,3,1,5,4] => [1,6,3,2,5,4] => 3
[2,6,3,4,1,5] => [1,6,2,4,3,5] => 2
[2,6,3,4,5,1] => [1,6,2,3,5,4] => 2
[2,6,3,5,1,4] => [1,6,3,5,2,4] => 3
[2,6,3,5,4,1] => [1,6,2,5,4,3] => 3
[2,6,4,1,3,5] => [2,6,4,1,3,5] => 3
[2,6,4,1,5,3] => [1,6,3,2,5,4] => 3
[2,6,4,3,1,5] => [1,6,4,3,2,5] => 3
[2,6,4,3,5,1] => [1,6,3,2,5,4] => 3
[2,6,4,5,1,3] => [1,6,3,5,2,4] => 3
[2,6,4,5,3,1] => [1,6,2,5,4,3] => 3
[2,6,5,1,3,4] => [2,6,5,1,3,4] => 3
[2,6,5,1,4,3] => [2,6,5,1,4,3] => 4
[2,6,5,3,1,4] => [1,6,5,3,2,4] => 3
[2,6,5,3,4,1] => [1,6,5,2,4,3] => 3
[2,6,5,4,1,3] => [2,6,5,4,1,3] => 4
[2,6,5,4,3,1] => [1,6,5,4,3,2] => 4
[3,1,2,4,5,6] => [3,1,2,4,5,6] => 1
[3,1,2,4,6,5] => [3,1,2,4,6,5] => 2
[3,1,2,5,4,6] => [3,1,2,5,4,6] => 2
[3,1,2,5,6,4] => [3,1,2,4,6,5] => 2
[3,1,2,6,4,5] => [3,1,2,6,4,5] => 2
[3,1,2,6,5,4] => [3,1,2,6,5,4] => 3
[3,1,4,2,5,6] => [2,1,4,3,5,6] => 2
[3,1,4,2,6,5] => [2,1,4,3,6,5] => 3
[3,1,4,5,2,6] => [2,1,3,5,4,6] => 2
[3,1,4,5,6,2] => [2,1,3,4,6,5] => 2
[3,1,4,6,2,5] => [2,1,4,6,3,5] => 3
[3,1,4,6,5,2] => [2,1,3,6,5,4] => 3
[3,1,5,2,4,6] => [3,1,5,2,4,6] => 2
[3,1,5,2,6,4] => [2,1,4,3,6,5] => 3
[3,1,5,4,2,6] => [2,1,5,4,3,6] => 3
[3,1,5,4,6,2] => [2,1,4,3,6,5] => 3
[3,1,5,6,2,4] => [2,1,4,6,3,5] => 3
[3,1,5,6,4,2] => [2,1,3,6,5,4] => 3
[3,1,6,2,4,5] => [3,1,6,2,4,5] => 2
[3,1,6,2,5,4] => [3,1,6,2,5,4] => 3
[3,1,6,4,2,5] => [2,1,6,4,3,5] => 3
[3,1,6,4,5,2] => [2,1,6,3,5,4] => 3
[3,1,6,5,2,4] => [3,1,6,5,2,4] => 3
[3,1,6,5,4,2] => [2,1,6,5,4,3] => 4
[3,2,1,4,5,6] => [3,2,1,4,5,6] => 2
[3,2,1,4,6,5] => [3,2,1,4,6,5] => 3
[3,2,1,5,4,6] => [3,2,1,5,4,6] => 3
[3,2,1,5,6,4] => [3,2,1,4,6,5] => 3
[3,2,1,6,4,5] => [3,2,1,6,4,5] => 3
[3,2,1,6,5,4] => [3,2,1,6,5,4] => 4
[3,2,4,1,5,6] => [2,1,4,3,5,6] => 2
[3,2,4,1,6,5] => [2,1,4,3,6,5] => 3
[3,2,4,5,1,6] => [2,1,3,5,4,6] => 2
[3,2,4,5,6,1] => [2,1,3,4,6,5] => 2
[3,2,4,6,1,5] => [2,1,4,6,3,5] => 3
[3,2,4,6,5,1] => [2,1,3,6,5,4] => 3
[3,2,5,1,4,6] => [3,2,5,1,4,6] => 3
[3,2,5,1,6,4] => [2,1,4,3,6,5] => 3
[3,2,5,4,1,6] => [2,1,5,4,3,6] => 3
[3,2,5,4,6,1] => [2,1,4,3,6,5] => 3
[3,2,5,6,1,4] => [2,1,4,6,3,5] => 3
[3,2,5,6,4,1] => [2,1,3,6,5,4] => 3
[3,2,6,1,4,5] => [3,2,6,1,4,5] => 3
[3,2,6,1,5,4] => [3,2,6,1,5,4] => 4
[3,2,6,4,1,5] => [2,1,6,4,3,5] => 3
[3,2,6,4,5,1] => [2,1,6,3,5,4] => 3
[3,2,6,5,1,4] => [3,2,6,5,1,4] => 4
[3,2,6,5,4,1] => [2,1,6,5,4,3] => 4
[3,4,1,2,5,6] => [2,4,1,3,5,6] => 2
[3,4,1,2,6,5] => [2,4,1,3,6,5] => 3
[3,4,1,5,2,6] => [1,3,2,5,4,6] => 2
[3,4,1,5,6,2] => [1,3,2,4,6,5] => 2
[3,4,1,6,2,5] => [2,4,1,6,3,5] => 3
[3,4,1,6,5,2] => [1,3,2,6,5,4] => 3
[3,4,2,1,5,6] => [1,4,3,2,5,6] => 2
[3,4,2,1,6,5] => [1,4,3,2,6,5] => 3
[3,4,2,5,1,6] => [1,3,2,5,4,6] => 2
[3,4,2,5,6,1] => [1,3,2,4,6,5] => 2
[3,4,2,6,1,5] => [1,4,3,6,2,5] => 3
[3,4,2,6,5,1] => [1,3,2,6,5,4] => 3
[3,4,5,1,2,6] => [1,3,5,2,4,6] => 2
[3,4,5,1,6,2] => [1,2,4,3,6,5] => 2
[3,4,5,2,1,6] => [1,2,5,4,3,6] => 2
[3,4,5,2,6,1] => [1,2,4,3,6,5] => 2
[3,4,5,6,1,2] => [1,2,4,6,3,5] => 2
[3,4,5,6,2,1] => [1,2,3,6,5,4] => 2
[3,4,6,1,2,5] => [2,4,6,1,3,5] => 3
[3,4,6,1,5,2] => [1,3,6,2,5,4] => 3
[3,4,6,2,1,5] => [1,4,6,3,2,5] => 3
[3,4,6,2,5,1] => [1,3,6,2,5,4] => 3
[3,4,6,5,1,2] => [1,3,6,5,2,4] => 3
[3,4,6,5,2,1] => [1,2,6,5,4,3] => 3
[3,5,1,2,4,6] => [3,5,1,2,4,6] => 2
[3,5,1,2,6,4] => [2,4,1,3,6,5] => 3
[3,5,1,4,2,6] => [2,5,1,4,3,6] => 3
[3,5,1,4,6,2] => [2,4,1,3,6,5] => 3
[3,5,1,6,2,4] => [2,4,1,6,3,5] => 3
[3,5,1,6,4,2] => [1,3,2,6,5,4] => 3
[3,5,2,1,4,6] => [3,5,2,1,4,6] => 3
[3,5,2,1,6,4] => [1,4,3,2,6,5] => 3
[3,5,2,4,1,6] => [2,5,1,4,3,6] => 3
[3,5,2,4,6,1] => [2,4,1,3,6,5] => 3
[3,5,2,6,1,4] => [1,4,3,6,2,5] => 3
[3,5,2,6,4,1] => [1,3,2,6,5,4] => 3
[3,5,4,1,2,6] => [2,5,4,1,3,6] => 3
[3,5,4,1,6,2] => [1,4,3,2,6,5] => 3
[3,5,4,2,1,6] => [1,5,4,3,2,6] => 3
[3,5,4,2,6,1] => [1,4,3,2,6,5] => 3
[3,5,4,6,1,2] => [1,4,3,6,2,5] => 3
[3,5,4,6,2,1] => [1,3,2,6,5,4] => 3
[3,5,6,1,2,4] => [2,4,6,1,3,5] => 3
[3,5,6,1,4,2] => [1,3,6,2,5,4] => 3
[3,5,6,2,1,4] => [1,4,6,3,2,5] => 3
[3,5,6,2,4,1] => [1,3,6,2,5,4] => 3
[3,5,6,4,1,2] => [1,3,6,5,2,4] => 3
[3,5,6,4,2,1] => [1,2,6,5,4,3] => 3
[3,6,1,2,4,5] => [3,6,1,2,4,5] => 2
[3,6,1,2,5,4] => [3,6,1,2,5,4] => 3
[3,6,1,4,2,5] => [2,6,1,4,3,5] => 3
[3,6,1,4,5,2] => [2,6,1,3,5,4] => 3
[3,6,1,5,2,4] => [3,6,1,5,2,4] => 3
[3,6,1,5,4,2] => [2,6,1,5,4,3] => 4
[3,6,2,1,4,5] => [3,6,2,1,4,5] => 3
[3,6,2,1,5,4] => [3,6,2,1,5,4] => 4
[3,6,2,4,1,5] => [2,6,1,4,3,5] => 3
[3,6,2,4,5,1] => [2,6,1,3,5,4] => 3
[3,6,2,5,1,4] => [3,6,2,5,1,4] => 4
[3,6,2,5,4,1] => [2,6,1,5,4,3] => 4
[3,6,4,1,2,5] => [2,6,4,1,3,5] => 3
[3,6,4,1,5,2] => [1,6,3,2,5,4] => 3
[3,6,4,2,1,5] => [1,6,4,3,2,5] => 3
[3,6,4,2,5,1] => [1,6,3,2,5,4] => 3
[3,6,4,5,1,2] => [1,6,3,5,2,4] => 3
[3,6,4,5,2,1] => [1,6,2,5,4,3] => 3
[3,6,5,1,2,4] => [3,6,5,1,2,4] => 3
[3,6,5,1,4,2] => [2,6,5,1,4,3] => 4
[3,6,5,2,1,4] => [3,6,5,2,1,4] => 4
[3,6,5,2,4,1] => [2,6,5,1,4,3] => 4
[3,6,5,4,1,2] => [2,6,5,4,1,3] => 4
[3,6,5,4,2,1] => [1,6,5,4,3,2] => 4
[4,1,2,3,5,6] => [4,1,2,3,5,6] => 1
[4,1,2,3,6,5] => [4,1,2,3,6,5] => 2
[4,1,2,5,3,6] => [3,1,2,5,4,6] => 2
[4,1,2,5,6,3] => [3,1,2,4,6,5] => 2
[4,1,2,6,3,5] => [4,1,2,6,3,5] => 2
[4,1,2,6,5,3] => [3,1,2,6,5,4] => 3
[4,1,3,2,5,6] => [4,1,3,2,5,6] => 2
[4,1,3,2,6,5] => [4,1,3,2,6,5] => 3
[4,1,3,5,2,6] => [3,1,2,5,4,6] => 2
[4,1,3,5,6,2] => [3,1,2,4,6,5] => 2
[4,1,3,6,2,5] => [4,1,3,6,2,5] => 3
[4,1,3,6,5,2] => [3,1,2,6,5,4] => 3
[4,1,5,2,3,6] => [3,1,5,2,4,6] => 2
[4,1,5,2,6,3] => [2,1,4,3,6,5] => 3
[4,1,5,3,2,6] => [2,1,5,4,3,6] => 3
[4,1,5,3,6,2] => [2,1,4,3,6,5] => 3
[4,1,5,6,2,3] => [2,1,4,6,3,5] => 3
[4,1,5,6,3,2] => [2,1,3,6,5,4] => 3
[4,1,6,2,3,5] => [4,1,6,2,3,5] => 2
[4,1,6,2,5,3] => [3,1,6,2,5,4] => 3
[4,1,6,3,2,5] => [4,1,6,3,2,5] => 3
[4,1,6,3,5,2] => [3,1,6,2,5,4] => 3
[4,1,6,5,2,3] => [3,1,6,5,2,4] => 3
[4,1,6,5,3,2] => [2,1,6,5,4,3] => 4
[4,2,1,3,5,6] => [4,2,1,3,5,6] => 2
[4,2,1,3,6,5] => [4,2,1,3,6,5] => 3
[4,2,1,5,3,6] => [3,2,1,5,4,6] => 3
[4,2,1,5,6,3] => [3,2,1,4,6,5] => 3
[4,2,1,6,3,5] => [4,2,1,6,3,5] => 3
[4,2,1,6,5,3] => [3,2,1,6,5,4] => 4
[4,2,3,1,5,6] => [4,1,3,2,5,6] => 2
[4,2,3,1,6,5] => [4,1,3,2,6,5] => 3
[4,2,3,5,1,6] => [3,1,2,5,4,6] => 2
[4,2,3,5,6,1] => [3,1,2,4,6,5] => 2
[4,2,3,6,1,5] => [4,1,3,6,2,5] => 3
[4,2,3,6,5,1] => [3,1,2,6,5,4] => 3
[4,2,5,1,3,6] => [3,2,5,1,4,6] => 3
[4,2,5,1,6,3] => [2,1,4,3,6,5] => 3
[4,2,5,3,1,6] => [2,1,5,4,3,6] => 3
[4,2,5,3,6,1] => [2,1,4,3,6,5] => 3
[4,2,5,6,1,3] => [2,1,4,6,3,5] => 3
[4,2,5,6,3,1] => [2,1,3,6,5,4] => 3
[4,2,6,1,3,5] => [4,2,6,1,3,5] => 3
[4,2,6,1,5,3] => [3,2,6,1,5,4] => 4
[4,2,6,3,1,5] => [4,1,6,3,2,5] => 3
[4,2,6,3,5,1] => [3,1,6,2,5,4] => 3
[4,2,6,5,1,3] => [3,2,6,5,1,4] => 4
[4,2,6,5,3,1] => [2,1,6,5,4,3] => 4
[4,3,1,2,5,6] => [4,3,1,2,5,6] => 2
[4,3,1,2,6,5] => [4,3,1,2,6,5] => 3
[4,3,1,5,2,6] => [3,2,1,5,4,6] => 3
[4,3,1,5,6,2] => [3,2,1,4,6,5] => 3
[4,3,1,6,2,5] => [4,3,1,6,2,5] => 3
[4,3,1,6,5,2] => [3,2,1,6,5,4] => 4
[4,3,2,1,5,6] => [4,3,2,1,5,6] => 3
[4,3,2,1,6,5] => [4,3,2,1,6,5] => 4
[4,3,2,5,1,6] => [3,2,1,5,4,6] => 3
[4,3,2,5,6,1] => [3,2,1,4,6,5] => 3
[4,3,2,6,1,5] => [4,3,2,6,1,5] => 4
[4,3,2,6,5,1] => [3,2,1,6,5,4] => 4
[4,3,5,1,2,6] => [3,2,5,1,4,6] => 3
[4,3,5,1,6,2] => [2,1,4,3,6,5] => 3
[4,3,5,2,1,6] => [2,1,5,4,3,6] => 3
[4,3,5,2,6,1] => [2,1,4,3,6,5] => 3
[4,3,5,6,1,2] => [2,1,4,6,3,5] => 3
[4,3,5,6,2,1] => [2,1,3,6,5,4] => 3
[4,3,6,1,2,5] => [4,3,6,1,2,5] => 3
[4,3,6,1,5,2] => [3,2,6,1,5,4] => 4
[4,3,6,2,1,5] => [4,3,6,2,1,5] => 4
[4,3,6,2,5,1] => [3,2,6,1,5,4] => 4
[4,3,6,5,1,2] => [3,2,6,5,1,4] => 4
[4,3,6,5,2,1] => [2,1,6,5,4,3] => 4
[4,5,1,2,3,6] => [3,5,1,2,4,6] => 2
[4,5,1,2,6,3] => [2,4,1,3,6,5] => 3
[4,5,1,3,2,6] => [2,5,1,4,3,6] => 3
[4,5,1,3,6,2] => [2,4,1,3,6,5] => 3
[4,5,1,6,2,3] => [2,4,1,6,3,5] => 3
[4,5,1,6,3,2] => [1,3,2,6,5,4] => 3
[4,5,2,1,3,6] => [3,5,2,1,4,6] => 3
[4,5,2,1,6,3] => [1,4,3,2,6,5] => 3
[4,5,2,3,1,6] => [2,5,1,4,3,6] => 3
[4,5,2,3,6,1] => [2,4,1,3,6,5] => 3
[4,5,2,6,1,3] => [1,4,3,6,2,5] => 3
[4,5,2,6,3,1] => [1,3,2,6,5,4] => 3
[4,5,3,1,2,6] => [2,5,4,1,3,6] => 3
[4,5,3,1,6,2] => [1,4,3,2,6,5] => 3
[4,5,3,2,1,6] => [1,5,4,3,2,6] => 3
[4,5,3,2,6,1] => [1,4,3,2,6,5] => 3
[4,5,3,6,1,2] => [1,4,3,6,2,5] => 3
[4,5,3,6,2,1] => [1,3,2,6,5,4] => 3
[4,5,6,1,2,3] => [2,4,6,1,3,5] => 3
[4,5,6,1,3,2] => [1,3,6,2,5,4] => 3
[4,5,6,2,1,3] => [1,4,6,3,2,5] => 3
[4,5,6,2,3,1] => [1,3,6,2,5,4] => 3
[4,5,6,3,1,2] => [1,3,6,5,2,4] => 3
[4,5,6,3,2,1] => [1,2,6,5,4,3] => 3
[4,6,1,2,3,5] => [4,6,1,2,3,5] => 2
[4,6,1,2,5,3] => [3,6,1,2,5,4] => 3
[4,6,1,3,2,5] => [4,6,1,3,2,5] => 3
[4,6,1,3,5,2] => [3,6,1,2,5,4] => 3
[4,6,1,5,2,3] => [3,6,1,5,2,4] => 3
[4,6,1,5,3,2] => [2,6,1,5,4,3] => 4
[4,6,2,1,3,5] => [4,6,2,1,3,5] => 3
[4,6,2,1,5,3] => [3,6,2,1,5,4] => 4
[4,6,2,3,1,5] => [4,6,1,3,2,5] => 3
[4,6,2,3,5,1] => [3,6,1,2,5,4] => 3
[4,6,2,5,1,3] => [3,6,2,5,1,4] => 4
[4,6,2,5,3,1] => [2,6,1,5,4,3] => 4
[4,6,3,1,2,5] => [4,6,3,1,2,5] => 3
[4,6,3,1,5,2] => [3,6,2,1,5,4] => 4
[4,6,3,2,1,5] => [4,6,3,2,1,5] => 4
[4,6,3,2,5,1] => [3,6,2,1,5,4] => 4
[4,6,3,5,1,2] => [3,6,2,5,1,4] => 4
[4,6,3,5,2,1] => [2,6,1,5,4,3] => 4
[4,6,5,1,2,3] => [3,6,5,1,2,4] => 3
[4,6,5,1,3,2] => [2,6,5,1,4,3] => 4
[4,6,5,2,1,3] => [3,6,5,2,1,4] => 4
[4,6,5,2,3,1] => [2,6,5,1,4,3] => 4
[4,6,5,3,1,2] => [2,6,5,4,1,3] => 4
[4,6,5,3,2,1] => [1,6,5,4,3,2] => 4
[5,1,2,3,4,6] => [5,1,2,3,4,6] => 1
[5,1,2,3,6,4] => [4,1,2,3,6,5] => 2
[5,1,2,4,3,6] => [5,1,2,4,3,6] => 2
[5,1,2,4,6,3] => [4,1,2,3,6,5] => 2
[5,1,2,6,3,4] => [4,1,2,6,3,5] => 2
[5,1,2,6,4,3] => [3,1,2,6,5,4] => 3
[5,1,3,2,4,6] => [5,1,3,2,4,6] => 2
[5,1,3,2,6,4] => [4,1,3,2,6,5] => 3
[5,1,3,4,2,6] => [5,1,2,4,3,6] => 2
[5,1,3,4,6,2] => [4,1,2,3,6,5] => 2
[5,1,3,6,2,4] => [4,1,3,6,2,5] => 3
[5,1,3,6,4,2] => [3,1,2,6,5,4] => 3
[5,1,4,2,3,6] => [5,1,4,2,3,6] => 2
[5,1,4,2,6,3] => [4,1,3,2,6,5] => 3
[5,1,4,3,2,6] => [5,1,4,3,2,6] => 3
[5,1,4,3,6,2] => [4,1,3,2,6,5] => 3
[5,1,4,6,2,3] => [4,1,3,6,2,5] => 3
[5,1,4,6,3,2] => [3,1,2,6,5,4] => 3
[5,1,6,2,3,4] => [4,1,6,2,3,5] => 2
[5,1,6,2,4,3] => [3,1,6,2,5,4] => 3
[5,1,6,3,2,4] => [4,1,6,3,2,5] => 3
[5,1,6,3,4,2] => [3,1,6,2,5,4] => 3
[5,1,6,4,2,3] => [3,1,6,5,2,4] => 3
[5,1,6,4,3,2] => [2,1,6,5,4,3] => 4
[5,2,1,3,4,6] => [5,2,1,3,4,6] => 2
[5,2,1,3,6,4] => [4,2,1,3,6,5] => 3
[5,2,1,4,3,6] => [5,2,1,4,3,6] => 3
[5,2,1,4,6,3] => [4,2,1,3,6,5] => 3
[5,2,1,6,3,4] => [4,2,1,6,3,5] => 3
[5,2,1,6,4,3] => [3,2,1,6,5,4] => 4
[5,2,3,1,4,6] => [5,1,3,2,4,6] => 2
[5,2,3,1,6,4] => [4,1,3,2,6,5] => 3
[5,2,3,4,1,6] => [5,1,2,4,3,6] => 2
[5,2,3,4,6,1] => [4,1,2,3,6,5] => 2
[5,2,3,6,1,4] => [4,1,3,6,2,5] => 3
[5,2,3,6,4,1] => [3,1,2,6,5,4] => 3
[5,2,4,1,3,6] => [5,2,4,1,3,6] => 3
[5,2,4,1,6,3] => [4,1,3,2,6,5] => 3
[5,2,4,3,1,6] => [5,1,4,3,2,6] => 3
[5,2,4,3,6,1] => [4,1,3,2,6,5] => 3
[5,2,4,6,1,3] => [4,1,3,6,2,5] => 3
[5,2,4,6,3,1] => [3,1,2,6,5,4] => 3
[5,2,6,1,3,4] => [4,2,6,1,3,5] => 3
[5,2,6,1,4,3] => [3,2,6,1,5,4] => 4
[5,2,6,3,1,4] => [4,1,6,3,2,5] => 3
[5,2,6,3,4,1] => [3,1,6,2,5,4] => 3
[5,2,6,4,1,3] => [3,2,6,5,1,4] => 4
[5,2,6,4,3,1] => [2,1,6,5,4,3] => 4
[5,3,1,2,4,6] => [5,3,1,2,4,6] => 2
[5,3,1,2,6,4] => [4,3,1,2,6,5] => 3
[5,3,1,4,2,6] => [5,2,1,4,3,6] => 3
[5,3,1,4,6,2] => [4,2,1,3,6,5] => 3
[5,3,1,6,2,4] => [4,3,1,6,2,5] => 3
[5,3,1,6,4,2] => [3,2,1,6,5,4] => 4
[5,3,2,1,4,6] => [5,3,2,1,4,6] => 3
[5,3,2,1,6,4] => [4,3,2,1,6,5] => 4
[5,3,2,4,1,6] => [5,2,1,4,3,6] => 3
[5,3,2,4,6,1] => [4,2,1,3,6,5] => 3
[5,3,2,6,1,4] => [4,3,2,6,1,5] => 4
[5,3,2,6,4,1] => [3,2,1,6,5,4] => 4
[5,3,4,1,2,6] => [5,2,4,1,3,6] => 3
[5,3,4,1,6,2] => [4,1,3,2,6,5] => 3
[5,3,4,2,1,6] => [5,1,4,3,2,6] => 3
[5,3,4,2,6,1] => [4,1,3,2,6,5] => 3
[5,3,4,6,1,2] => [4,1,3,6,2,5] => 3
[5,3,4,6,2,1] => [3,1,2,6,5,4] => 3
[5,3,6,1,2,4] => [4,3,6,1,2,5] => 3
[5,3,6,1,4,2] => [3,2,6,1,5,4] => 4
[5,3,6,2,1,4] => [4,3,6,2,1,5] => 4
[5,3,6,2,4,1] => [3,2,6,1,5,4] => 4
[5,3,6,4,1,2] => [3,2,6,5,1,4] => 4
[5,3,6,4,2,1] => [2,1,6,5,4,3] => 4
[5,4,1,2,3,6] => [5,4,1,2,3,6] => 2
[5,4,1,2,6,3] => [4,3,1,2,6,5] => 3
[5,4,1,3,2,6] => [5,4,1,3,2,6] => 3
[5,4,1,3,6,2] => [4,3,1,2,6,5] => 3
[5,4,1,6,2,3] => [4,3,1,6,2,5] => 3
[5,4,1,6,3,2] => [3,2,1,6,5,4] => 4
[5,4,2,1,3,6] => [5,4,2,1,3,6] => 3
[5,4,2,1,6,3] => [4,3,2,1,6,5] => 4
[5,4,2,3,1,6] => [5,4,1,3,2,6] => 3
[5,4,2,3,6,1] => [4,3,1,2,6,5] => 3
[5,4,2,6,1,3] => [4,3,2,6,1,5] => 4
[5,4,2,6,3,1] => [3,2,1,6,5,4] => 4
[5,4,3,1,2,6] => [5,4,3,1,2,6] => 3
[5,4,3,1,6,2] => [4,3,2,1,6,5] => 4
[5,4,3,2,1,6] => [5,4,3,2,1,6] => 4
[5,4,3,2,6,1] => [4,3,2,1,6,5] => 4
[5,4,3,6,1,2] => [4,3,2,6,1,5] => 4
[5,4,3,6,2,1] => [3,2,1,6,5,4] => 4
[5,4,6,1,2,3] => [4,3,6,1,2,5] => 3
[5,4,6,1,3,2] => [3,2,6,1,5,4] => 4
[5,4,6,2,1,3] => [4,3,6,2,1,5] => 4
[5,4,6,2,3,1] => [3,2,6,1,5,4] => 4
[5,4,6,3,1,2] => [3,2,6,5,1,4] => 4
[5,4,6,3,2,1] => [2,1,6,5,4,3] => 4
[5,6,1,2,3,4] => [4,6,1,2,3,5] => 2
[5,6,1,2,4,3] => [3,6,1,2,5,4] => 3
[5,6,1,3,2,4] => [4,6,1,3,2,5] => 3
[5,6,1,3,4,2] => [3,6,1,2,5,4] => 3
[5,6,1,4,2,3] => [3,6,1,5,2,4] => 3
[5,6,1,4,3,2] => [2,6,1,5,4,3] => 4
[5,6,2,1,3,4] => [4,6,2,1,3,5] => 3
[5,6,2,1,4,3] => [3,6,2,1,5,4] => 4
[5,6,2,3,1,4] => [4,6,1,3,2,5] => 3
[5,6,2,3,4,1] => [3,6,1,2,5,4] => 3
[5,6,2,4,1,3] => [3,6,2,5,1,4] => 4
[5,6,2,4,3,1] => [2,6,1,5,4,3] => 4
[5,6,3,1,2,4] => [4,6,3,1,2,5] => 3
[5,6,3,1,4,2] => [3,6,2,1,5,4] => 4
[5,6,3,2,1,4] => [4,6,3,2,1,5] => 4
[5,6,3,2,4,1] => [3,6,2,1,5,4] => 4
[5,6,3,4,1,2] => [3,6,2,5,1,4] => 4
[5,6,3,4,2,1] => [2,6,1,5,4,3] => 4
[5,6,4,1,2,3] => [3,6,5,1,2,4] => 3
[5,6,4,1,3,2] => [2,6,5,1,4,3] => 4
[5,6,4,2,1,3] => [3,6,5,2,1,4] => 4
[5,6,4,2,3,1] => [2,6,5,1,4,3] => 4
[5,6,4,3,1,2] => [2,6,5,4,1,3] => 4
[5,6,4,3,2,1] => [1,6,5,4,3,2] => 4
[6,1,2,3,4,5] => [6,1,2,3,4,5] => 1
[6,1,2,3,5,4] => [6,1,2,3,5,4] => 2
[6,1,2,4,3,5] => [6,1,2,4,3,5] => 2
[6,1,2,4,5,3] => [6,1,2,3,5,4] => 2
[6,1,2,5,3,4] => [6,1,2,5,3,4] => 2
[6,1,2,5,4,3] => [6,1,2,5,4,3] => 3
[6,1,3,2,4,5] => [6,1,3,2,4,5] => 2
[6,1,3,2,5,4] => [6,1,3,2,5,4] => 3
[6,1,3,4,2,5] => [6,1,2,4,3,5] => 2
[6,1,3,4,5,2] => [6,1,2,3,5,4] => 2
[6,1,3,5,2,4] => [6,1,3,5,2,4] => 3
[6,1,3,5,4,2] => [6,1,2,5,4,3] => 3
[6,1,4,2,3,5] => [6,1,4,2,3,5] => 2
[6,1,4,2,5,3] => [6,1,3,2,5,4] => 3
[6,1,4,3,2,5] => [6,1,4,3,2,5] => 3
[6,1,4,3,5,2] => [6,1,3,2,5,4] => 3
[6,1,4,5,2,3] => [6,1,3,5,2,4] => 3
[6,1,4,5,3,2] => [6,1,2,5,4,3] => 3
[6,1,5,2,3,4] => [6,1,5,2,3,4] => 2
[6,1,5,2,4,3] => [6,1,5,2,4,3] => 3
[6,1,5,3,2,4] => [6,1,5,3,2,4] => 3
[6,1,5,3,4,2] => [6,1,5,2,4,3] => 3
[6,1,5,4,2,3] => [6,1,5,4,2,3] => 3
[6,1,5,4,3,2] => [6,1,5,4,3,2] => 4
[6,2,1,3,4,5] => [6,2,1,3,4,5] => 2
[6,2,1,3,5,4] => [6,2,1,3,5,4] => 3
[6,2,1,4,3,5] => [6,2,1,4,3,5] => 3
[6,2,1,4,5,3] => [6,2,1,3,5,4] => 3
[6,2,1,5,3,4] => [6,2,1,5,3,4] => 3
[6,2,1,5,4,3] => [6,2,1,5,4,3] => 4
[6,2,3,1,4,5] => [6,1,3,2,4,5] => 2
[6,2,3,1,5,4] => [6,1,3,2,5,4] => 3
[6,2,3,4,1,5] => [6,1,2,4,3,5] => 2
[6,2,3,4,5,1] => [6,1,2,3,5,4] => 2
[6,2,3,5,1,4] => [6,1,3,5,2,4] => 3
[6,2,3,5,4,1] => [6,1,2,5,4,3] => 3
[6,2,4,1,3,5] => [6,2,4,1,3,5] => 3
[6,2,4,1,5,3] => [6,1,3,2,5,4] => 3
[6,2,4,3,1,5] => [6,1,4,3,2,5] => 3
[6,2,4,3,5,1] => [6,1,3,2,5,4] => 3
[6,2,4,5,1,3] => [6,1,3,5,2,4] => 3
[6,2,4,5,3,1] => [6,1,2,5,4,3] => 3
[6,2,5,1,3,4] => [6,2,5,1,3,4] => 3
[6,2,5,1,4,3] => [6,2,5,1,4,3] => 4
[6,2,5,3,1,4] => [6,1,5,3,2,4] => 3
[6,2,5,3,4,1] => [6,1,5,2,4,3] => 3
[6,2,5,4,1,3] => [6,2,5,4,1,3] => 4
[6,2,5,4,3,1] => [6,1,5,4,3,2] => 4
[6,3,1,2,4,5] => [6,3,1,2,4,5] => 2
[6,3,1,2,5,4] => [6,3,1,2,5,4] => 3
[6,3,1,4,2,5] => [6,2,1,4,3,5] => 3
[6,3,1,4,5,2] => [6,2,1,3,5,4] => 3
[6,3,1,5,2,4] => [6,3,1,5,2,4] => 3
[6,3,1,5,4,2] => [6,2,1,5,4,3] => 4
[6,3,2,1,4,5] => [6,3,2,1,4,5] => 3
[6,3,2,1,5,4] => [6,3,2,1,5,4] => 4
[6,3,2,4,1,5] => [6,2,1,4,3,5] => 3
[6,3,2,4,5,1] => [6,2,1,3,5,4] => 3
[6,3,2,5,1,4] => [6,3,2,5,1,4] => 4
[6,3,2,5,4,1] => [6,2,1,5,4,3] => 4
[6,3,4,1,2,5] => [6,2,4,1,3,5] => 3
[6,3,4,1,5,2] => [6,1,3,2,5,4] => 3
[6,3,4,2,1,5] => [6,1,4,3,2,5] => 3
[6,3,4,2,5,1] => [6,1,3,2,5,4] => 3
[6,3,4,5,1,2] => [6,1,3,5,2,4] => 3
[6,3,4,5,2,1] => [6,1,2,5,4,3] => 3
[6,3,5,1,2,4] => [6,3,5,1,2,4] => 3
[6,3,5,1,4,2] => [6,2,5,1,4,3] => 4
[6,3,5,2,1,4] => [6,3,5,2,1,4] => 4
[6,3,5,2,4,1] => [6,2,5,1,4,3] => 4
[6,3,5,4,1,2] => [6,2,5,4,1,3] => 4
[6,3,5,4,2,1] => [6,1,5,4,3,2] => 4
[6,4,1,2,3,5] => [6,4,1,2,3,5] => 2
[6,4,1,2,5,3] => [6,3,1,2,5,4] => 3
[6,4,1,3,2,5] => [6,4,1,3,2,5] => 3
[6,4,1,3,5,2] => [6,3,1,2,5,4] => 3
[6,4,1,5,2,3] => [6,3,1,5,2,4] => 3
[6,4,1,5,3,2] => [6,2,1,5,4,3] => 4
[6,4,2,1,3,5] => [6,4,2,1,3,5] => 3
[6,4,2,1,5,3] => [6,3,2,1,5,4] => 4
[6,4,2,3,1,5] => [6,4,1,3,2,5] => 3
[6,4,2,3,5,1] => [6,3,1,2,5,4] => 3
[6,4,2,5,1,3] => [6,3,2,5,1,4] => 4
[6,4,2,5,3,1] => [6,2,1,5,4,3] => 4
[6,4,3,1,2,5] => [6,4,3,1,2,5] => 3
[6,4,3,1,5,2] => [6,3,2,1,5,4] => 4
[6,4,3,2,1,5] => [6,4,3,2,1,5] => 4
[6,4,3,2,5,1] => [6,3,2,1,5,4] => 4
[6,4,3,5,1,2] => [6,3,2,5,1,4] => 4
[6,4,3,5,2,1] => [6,2,1,5,4,3] => 4
[6,4,5,1,2,3] => [6,3,5,1,2,4] => 3
[6,4,5,1,3,2] => [6,2,5,1,4,3] => 4
[6,4,5,2,1,3] => [6,3,5,2,1,4] => 4
[6,4,5,2,3,1] => [6,2,5,1,4,3] => 4
[6,4,5,3,1,2] => [6,2,5,4,1,3] => 4
[6,4,5,3,2,1] => [6,1,5,4,3,2] => 4
[6,5,1,2,3,4] => [6,5,1,2,3,4] => 2
[6,5,1,2,4,3] => [6,5,1,2,4,3] => 3
[6,5,1,3,2,4] => [6,5,1,3,2,4] => 3
[6,5,1,3,4,2] => [6,5,1,2,4,3] => 3
[6,5,1,4,2,3] => [6,5,1,4,2,3] => 3
[6,5,1,4,3,2] => [6,5,1,4,3,2] => 4
[6,5,2,1,3,4] => [6,5,2,1,3,4] => 3
[6,5,2,1,4,3] => [6,5,2,1,4,3] => 4
[6,5,2,3,1,4] => [6,5,1,3,2,4] => 3
[6,5,2,3,4,1] => [6,5,1,2,4,3] => 3
[6,5,2,4,1,3] => [6,5,2,4,1,3] => 4
[6,5,2,4,3,1] => [6,5,1,4,3,2] => 4
[6,5,3,1,2,4] => [6,5,3,1,2,4] => 3
[6,5,3,1,4,2] => [6,5,2,1,4,3] => 4
[6,5,3,2,1,4] => [6,5,3,2,1,4] => 4
[6,5,3,2,4,1] => [6,5,2,1,4,3] => 4
[6,5,3,4,1,2] => [6,5,2,4,1,3] => 4
[6,5,3,4,2,1] => [6,5,1,4,3,2] => 4
[6,5,4,1,2,3] => [6,5,4,1,2,3] => 3
[6,5,4,1,3,2] => [6,5,4,1,3,2] => 4
[6,5,4,2,1,3] => [6,5,4,2,1,3] => 4
[6,5,4,2,3,1] => [6,5,4,1,3,2] => 4
[6,5,4,3,1,2] => [6,5,4,3,1,2] => 4
[6,5,4,3,2,1] => [6,5,4,3,2,1] => 5
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 1
[1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 1
[1,2,3,4,6,7,5] => [1,2,3,4,5,7,6] => 1
[1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => 1
[1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => 2
[1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 1
[1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => 2
[1,2,3,5,6,4,7] => [1,2,3,4,6,5,7] => 1
[1,2,3,5,6,7,4] => [1,2,3,4,5,7,6] => 1
[1,2,3,5,7,4,6] => [1,2,3,5,7,4,6] => 2
[1,2,3,5,7,6,4] => [1,2,3,4,7,6,5] => 2
[1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => 1
[1,2,3,6,4,7,5] => [1,2,3,5,4,7,6] => 2
[1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => 2
[1,2,3,6,5,7,4] => [1,2,3,5,4,7,6] => 2
[1,2,3,6,7,4,5] => [1,2,3,5,7,4,6] => 2
[1,2,3,6,7,5,4] => [1,2,3,4,7,6,5] => 2
[1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => 1
[1,2,3,7,4,6,5] => [1,2,3,7,4,6,5] => 2
[1,2,3,7,5,4,6] => [1,2,3,7,5,4,6] => 2
[1,2,3,7,5,6,4] => [1,2,3,7,4,6,5] => 2
[1,2,3,7,6,4,5] => [1,2,3,7,6,4,5] => 2
[1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => 3
[1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 1
[1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => 2
[1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => 2
[1,2,4,3,6,7,5] => [1,2,4,3,5,7,6] => 2
[1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => 2
[1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => 3
[1,2,4,5,3,6,7] => [1,2,3,5,4,6,7] => 1
[1,2,4,5,3,7,6] => [1,2,3,5,4,7,6] => 2
[1,2,4,5,6,3,7] => [1,2,3,4,6,5,7] => 1
[1,2,4,5,6,7,3] => [1,2,3,4,5,7,6] => 1
[1,2,4,5,7,3,6] => [1,2,3,5,7,4,6] => 2
[1,2,4,5,7,6,3] => [1,2,3,4,7,6,5] => 2
[1,2,4,6,3,5,7] => [1,2,4,6,3,5,7] => 2
[1,2,4,6,3,7,5] => [1,2,3,5,4,7,6] => 2
[1,2,4,6,5,3,7] => [1,2,3,6,5,4,7] => 2
[1,2,4,6,5,7,3] => [1,2,3,5,4,7,6] => 2
[1,2,4,6,7,3,5] => [1,2,3,5,7,4,6] => 2
[1,2,4,6,7,5,3] => [1,2,3,4,7,6,5] => 2
[1,2,4,7,3,5,6] => [1,2,4,7,3,5,6] => 2
[1,2,4,7,3,6,5] => [1,2,4,7,3,6,5] => 3
[1,2,4,7,5,3,6] => [1,2,3,7,5,4,6] => 2
[1,2,4,7,5,6,3] => [1,2,3,7,4,6,5] => 2
[1,2,4,7,6,3,5] => [1,2,4,7,6,3,5] => 3
[1,2,4,7,6,5,3] => [1,2,3,7,6,5,4] => 3
[1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => 1
[1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => 2
[1,2,5,3,6,4,7] => [1,2,4,3,6,5,7] => 2
[1,2,5,3,6,7,4] => [1,2,4,3,5,7,6] => 2
[1,2,5,3,7,4,6] => [1,2,5,3,7,4,6] => 2
[1,2,5,3,7,6,4] => [1,2,4,3,7,6,5] => 3
[1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => 2
[1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => 3
[1,2,5,4,6,3,7] => [1,2,4,3,6,5,7] => 2
[1,2,5,4,6,7,3] => [1,2,4,3,5,7,6] => 2
[1,2,5,4,7,3,6] => [1,2,5,4,7,3,6] => 3
[1,2,5,4,7,6,3] => [1,2,4,3,7,6,5] => 3
[1,2,5,6,3,4,7] => [1,2,4,6,3,5,7] => 2
[1,2,5,6,3,7,4] => [1,2,3,5,4,7,6] => 2
[1,2,5,6,4,3,7] => [1,2,3,6,5,4,7] => 2
[1,2,5,6,4,7,3] => [1,2,3,5,4,7,6] => 2
[1,2,5,6,7,3,4] => [1,2,3,5,7,4,6] => 2
[1,2,5,6,7,4,3] => [1,2,3,4,7,6,5] => 2
[1,2,5,7,3,4,6] => [1,2,5,7,3,4,6] => 2
[1,2,5,7,3,6,4] => [1,2,4,7,3,6,5] => 3
[1,2,5,7,4,3,6] => [1,2,5,7,4,3,6] => 3
[1,2,5,7,4,6,3] => [1,2,4,7,3,6,5] => 3
[1,2,5,7,6,3,4] => [1,2,4,7,6,3,5] => 3
[1,2,5,7,6,4,3] => [1,2,3,7,6,5,4] => 3
[1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => 1
[1,2,6,3,4,7,5] => [1,2,5,3,4,7,6] => 2
[1,2,6,3,5,4,7] => [1,2,6,3,5,4,7] => 2
[1,2,6,3,5,7,4] => [1,2,5,3,4,7,6] => 2
[1,2,6,3,7,4,5] => [1,2,5,3,7,4,6] => 2
[1,2,6,3,7,5,4] => [1,2,4,3,7,6,5] => 3
[1,2,6,4,3,5,7] => [1,2,6,4,3,5,7] => 2
[1,2,6,4,3,7,5] => [1,2,5,4,3,7,6] => 3
[1,2,6,4,5,3,7] => [1,2,6,3,5,4,7] => 2
[1,2,6,4,5,7,3] => [1,2,5,3,4,7,6] => 2
[1,2,6,4,7,3,5] => [1,2,5,4,7,3,6] => 3
[1,2,6,4,7,5,3] => [1,2,4,3,7,6,5] => 3
[1,2,6,5,3,4,7] => [1,2,6,5,3,4,7] => 2
[1,2,6,5,3,7,4] => [1,2,5,4,3,7,6] => 3
[1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => 3
[1,2,6,5,4,7,3] => [1,2,5,4,3,7,6] => 3
[1,2,6,5,7,3,4] => [1,2,5,4,7,3,6] => 3
[1,2,6,5,7,4,3] => [1,2,4,3,7,6,5] => 3
[1,2,6,7,3,4,5] => [1,2,5,7,3,4,6] => 2
[1,2,6,7,3,5,4] => [1,2,4,7,3,6,5] => 3
[1,2,6,7,4,3,5] => [1,2,5,7,4,3,6] => 3
[1,2,6,7,4,5,3] => [1,2,4,7,3,6,5] => 3
[1,2,6,7,5,3,4] => [1,2,4,7,6,3,5] => 3
[1,2,6,7,5,4,3] => [1,2,3,7,6,5,4] => 3
[1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => 1
[1,2,7,3,4,6,5] => [1,2,7,3,4,6,5] => 2
[1,2,7,3,5,4,6] => [1,2,7,3,5,4,6] => 2
[1,2,7,3,5,6,4] => [1,2,7,3,4,6,5] => 2
[1,2,7,3,6,4,5] => [1,2,7,3,6,4,5] => 2
[1,2,7,3,6,5,4] => [1,2,7,3,6,5,4] => 3
[1,2,7,4,3,5,6] => [1,2,7,4,3,5,6] => 2
[1,2,7,4,3,6,5] => [1,2,7,4,3,6,5] => 3
[1,2,7,4,5,3,6] => [1,2,7,3,5,4,6] => 2
[1,2,7,4,5,6,3] => [1,2,7,3,4,6,5] => 2
[1,2,7,4,6,3,5] => [1,2,7,4,6,3,5] => 3
[1,2,7,4,6,5,3] => [1,2,7,3,6,5,4] => 3
[1,2,7,5,3,4,6] => [1,2,7,5,3,4,6] => 2
[1,2,7,5,3,6,4] => [1,2,7,4,3,6,5] => 3
[1,2,7,5,4,3,6] => [1,2,7,5,4,3,6] => 3
[1,2,7,5,4,6,3] => [1,2,7,4,3,6,5] => 3
[1,2,7,5,6,3,4] => [1,2,7,4,6,3,5] => 3
[1,2,7,5,6,4,3] => [1,2,7,3,6,5,4] => 3
[1,2,7,6,3,4,5] => [1,2,7,6,3,4,5] => 2
[1,2,7,6,3,5,4] => [1,2,7,6,3,5,4] => 3
[1,2,7,6,4,3,5] => [1,2,7,6,4,3,5] => 3
[1,2,7,6,4,5,3] => [1,2,7,6,3,5,4] => 3
[1,2,7,6,5,3,4] => [1,2,7,6,5,3,4] => 3
[1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => 4
[1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => 2
[1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => 2
[1,3,2,4,6,7,5] => [1,3,2,4,5,7,6] => 2
[1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => 2
[1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => 3
[1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => 2
[1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => 3
[1,3,2,5,6,4,7] => [1,3,2,4,6,5,7] => 2
[1,3,2,5,6,7,4] => [1,3,2,4,5,7,6] => 2
[1,3,2,5,7,4,6] => [1,3,2,5,7,4,6] => 3
[1,3,2,5,7,6,4] => [1,3,2,4,7,6,5] => 3
[1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => 2
[1,3,2,6,4,7,5] => [1,3,2,5,4,7,6] => 3
[1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => 3
[1,3,2,6,5,7,4] => [1,3,2,5,4,7,6] => 3
[1,3,2,6,7,4,5] => [1,3,2,5,7,4,6] => 3
[1,3,2,6,7,5,4] => [1,3,2,4,7,6,5] => 3
[1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => 2
[1,3,2,7,4,6,5] => [1,3,2,7,4,6,5] => 3
[1,3,2,7,5,4,6] => [1,3,2,7,5,4,6] => 3
[1,3,2,7,5,6,4] => [1,3,2,7,4,6,5] => 3
[1,3,2,7,6,4,5] => [1,3,2,7,6,4,5] => 3
[1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => 4
[1,3,4,2,5,6,7] => [1,2,4,3,5,6,7] => 1
[1,3,4,2,5,7,6] => [1,2,4,3,5,7,6] => 2
[1,3,4,2,6,5,7] => [1,2,4,3,6,5,7] => 2
[1,3,4,2,6,7,5] => [1,2,4,3,5,7,6] => 2
[1,3,4,2,7,5,6] => [1,2,4,3,7,5,6] => 2
[1,3,4,2,7,6,5] => [1,2,4,3,7,6,5] => 3
[1,3,4,5,2,6,7] => [1,2,3,5,4,6,7] => 1
[1,3,4,5,2,7,6] => [1,2,3,5,4,7,6] => 2
[1,3,4,5,6,2,7] => [1,2,3,4,6,5,7] => 1
[1,3,4,5,6,7,2] => [1,2,3,4,5,7,6] => 1
[1,3,4,5,7,2,6] => [1,2,3,5,7,4,6] => 2
[1,3,4,5,7,6,2] => [1,2,3,4,7,6,5] => 2
[1,3,4,6,2,5,7] => [1,2,4,6,3,5,7] => 2
[1,3,4,6,2,7,5] => [1,2,3,5,4,7,6] => 2
[1,3,4,6,5,2,7] => [1,2,3,6,5,4,7] => 2
[1,3,4,6,5,7,2] => [1,2,3,5,4,7,6] => 2
[1,3,4,6,7,2,5] => [1,2,3,5,7,4,6] => 2
[1,3,4,6,7,5,2] => [1,2,3,4,7,6,5] => 2
[1,3,4,7,2,5,6] => [1,2,4,7,3,5,6] => 2
[1,3,4,7,2,6,5] => [1,2,4,7,3,6,5] => 3
[1,3,4,7,5,2,6] => [1,2,3,7,5,4,6] => 2
[1,3,4,7,5,6,2] => [1,2,3,7,4,6,5] => 2
[1,3,4,7,6,2,5] => [1,2,4,7,6,3,5] => 3
[1,3,4,7,6,5,2] => [1,2,3,7,6,5,4] => 3
[1,3,5,2,4,6,7] => [1,3,5,2,4,6,7] => 2
[1,3,5,2,4,7,6] => [1,3,5,2,4,7,6] => 3
[1,3,5,2,6,4,7] => [1,2,4,3,6,5,7] => 2
[1,3,5,2,6,7,4] => [1,2,4,3,5,7,6] => 2
[1,3,5,2,7,4,6] => [1,3,5,2,7,4,6] => 3
[1,3,5,2,7,6,4] => [1,2,4,3,7,6,5] => 3
[1,3,5,4,2,6,7] => [1,2,5,4,3,6,7] => 2
[1,3,5,4,2,7,6] => [1,2,5,4,3,7,6] => 3
[1,3,5,4,6,2,7] => [1,2,4,3,6,5,7] => 2
[1,3,5,4,6,7,2] => [1,2,4,3,5,7,6] => 2
[1,3,5,4,7,2,6] => [1,2,5,4,7,3,6] => 3
[1,3,5,4,7,6,2] => [1,2,4,3,7,6,5] => 3
[1,3,5,6,2,4,7] => [1,2,4,6,3,5,7] => 2
[1,3,5,6,2,7,4] => [1,2,3,5,4,7,6] => 2
[1,3,5,6,4,2,7] => [1,2,3,6,5,4,7] => 2
[1,3,5,6,4,7,2] => [1,2,3,5,4,7,6] => 2
[1,3,5,6,7,2,4] => [1,2,3,5,7,4,6] => 2
[1,3,5,6,7,4,2] => [1,2,3,4,7,6,5] => 2
[1,3,5,7,2,4,6] => [1,3,5,7,2,4,6] => 3
[1,3,5,7,2,6,4] => [1,2,4,7,3,6,5] => 3
[1,3,5,7,4,2,6] => [1,2,5,7,4,3,6] => 3
[1,3,5,7,4,6,2] => [1,2,4,7,3,6,5] => 3
[1,3,5,7,6,2,4] => [1,2,4,7,6,3,5] => 3
[1,3,5,7,6,4,2] => [1,2,3,7,6,5,4] => 3
[1,3,6,2,4,5,7] => [1,3,6,2,4,5,7] => 2
[1,3,6,2,4,7,5] => [1,3,5,2,4,7,6] => 3
[1,3,6,2,5,4,7] => [1,3,6,2,5,4,7] => 3
[1,3,6,2,5,7,4] => [1,3,5,2,4,7,6] => 3
[1,3,6,2,7,4,5] => [1,3,5,2,7,4,6] => 3
[1,3,6,2,7,5,4] => [1,2,4,3,7,6,5] => 3
[1,3,6,4,2,5,7] => [1,2,6,4,3,5,7] => 2
[1,3,6,4,2,7,5] => [1,2,5,4,3,7,6] => 3
[1,3,6,4,5,2,7] => [1,2,6,3,5,4,7] => 2
[1,3,6,4,5,7,2] => [1,2,5,3,4,7,6] => 2
[1,3,6,4,7,2,5] => [1,2,5,4,7,3,6] => 3
[1,3,6,4,7,5,2] => [1,2,4,3,7,6,5] => 3
[1,3,6,5,2,4,7] => [1,3,6,5,2,4,7] => 3
[1,3,6,5,2,7,4] => [1,2,5,4,3,7,6] => 3
[1,3,6,5,4,2,7] => [1,2,6,5,4,3,7] => 3
[1,3,6,5,4,7,2] => [1,2,5,4,3,7,6] => 3
[1,3,6,5,7,2,4] => [1,2,5,4,7,3,6] => 3
[1,3,6,5,7,4,2] => [1,2,4,3,7,6,5] => 3
[1,3,6,7,2,4,5] => [1,3,5,7,2,4,6] => 3
[1,3,6,7,2,5,4] => [1,2,4,7,3,6,5] => 3
[1,3,6,7,4,2,5] => [1,2,5,7,4,3,6] => 3
[1,3,6,7,4,5,2] => [1,2,4,7,3,6,5] => 3
[1,3,6,7,5,2,4] => [1,2,4,7,6,3,5] => 3
[1,3,6,7,5,4,2] => [1,2,3,7,6,5,4] => 3
[1,3,7,2,4,5,6] => [1,3,7,2,4,5,6] => 2
[1,3,7,2,4,6,5] => [1,3,7,2,4,6,5] => 3
[1,3,7,2,5,4,6] => [1,3,7,2,5,4,6] => 3
[1,3,7,2,5,6,4] => [1,3,7,2,4,6,5] => 3
[1,3,7,2,6,4,5] => [1,3,7,2,6,4,5] => 3
[1,3,7,2,6,5,4] => [1,3,7,2,6,5,4] => 4
[1,3,7,4,2,5,6] => [1,2,7,4,3,5,6] => 2
[1,3,7,4,2,6,5] => [1,2,7,4,3,6,5] => 3
[1,3,7,4,5,2,6] => [1,2,7,3,5,4,6] => 2
[1,3,7,4,5,6,2] => [1,2,7,3,4,6,5] => 2
[1,3,7,4,6,2,5] => [1,2,7,4,6,3,5] => 3
[1,3,7,4,6,5,2] => [1,2,7,3,6,5,4] => 3
[1,3,7,5,2,4,6] => [1,3,7,5,2,4,6] => 3
[1,3,7,5,2,6,4] => [1,2,7,4,3,6,5] => 3
[1,3,7,5,4,2,6] => [1,2,7,5,4,3,6] => 3
[1,3,7,5,4,6,2] => [1,2,7,4,3,6,5] => 3
[1,3,7,5,6,2,4] => [1,2,7,4,6,3,5] => 3
[1,3,7,5,6,4,2] => [1,2,7,3,6,5,4] => 3
[1,3,7,6,2,4,5] => [1,3,7,6,2,4,5] => 3
[1,3,7,6,2,5,4] => [1,3,7,6,2,5,4] => 4
[1,3,7,6,4,2,5] => [1,2,7,6,4,3,5] => 3
[1,3,7,6,4,5,2] => [1,2,7,6,3,5,4] => 3
[1,3,7,6,5,2,4] => [1,3,7,6,5,2,4] => 4
[1,3,7,6,5,4,2] => [1,2,7,6,5,4,3] => 4
[1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => 1
[1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => 2
[1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => 2
[1,4,2,3,6,7,5] => [1,4,2,3,5,7,6] => 2
[1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => 2
[1,4,2,3,7,6,5] => [1,4,2,3,7,6,5] => 3
[1,4,2,5,3,6,7] => [1,3,2,5,4,6,7] => 2
[1,4,2,5,3,7,6] => [1,3,2,5,4,7,6] => 3
[1,4,2,5,6,3,7] => [1,3,2,4,6,5,7] => 2
[1,4,2,5,6,7,3] => [1,3,2,4,5,7,6] => 2
[1,4,2,5,7,3,6] => [1,3,2,5,7,4,6] => 3
[1,4,2,5,7,6,3] => [1,3,2,4,7,6,5] => 3
[1,4,2,6,3,5,7] => [1,4,2,6,3,5,7] => 2
[1,4,2,6,3,7,5] => [1,3,2,5,4,7,6] => 3
[1,4,2,6,5,3,7] => [1,3,2,6,5,4,7] => 3
[1,4,2,6,5,7,3] => [1,3,2,5,4,7,6] => 3
[1,4,2,6,7,3,5] => [1,3,2,5,7,4,6] => 3
[1,4,2,6,7,5,3] => [1,3,2,4,7,6,5] => 3
[1,4,2,7,3,5,6] => [1,4,2,7,3,5,6] => 2
[1,4,2,7,3,6,5] => [1,4,2,7,3,6,5] => 3
[1,4,2,7,5,3,6] => [1,3,2,7,5,4,6] => 3
[1,4,2,7,5,6,3] => [1,3,2,7,4,6,5] => 3
[1,4,2,7,6,3,5] => [1,4,2,7,6,3,5] => 3
[1,4,2,7,6,5,3] => [1,3,2,7,6,5,4] => 4
[1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => 2
[1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => 3
[1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => 3
[1,4,3,2,6,7,5] => [1,4,3,2,5,7,6] => 3
[1,4,3,2,7,5,6] => [1,4,3,2,7,5,6] => 3
[1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => 4
[1,4,3,5,2,6,7] => [1,3,2,5,4,6,7] => 2
[1,4,3,5,2,7,6] => [1,3,2,5,4,7,6] => 3
[1,4,3,5,6,2,7] => [1,3,2,4,6,5,7] => 2
[1,4,3,5,6,7,2] => [1,3,2,4,5,7,6] => 2
[1,4,3,5,7,2,6] => [1,3,2,5,7,4,6] => 3
[1,4,3,5,7,6,2] => [1,3,2,4,7,6,5] => 3
[1,4,3,6,2,5,7] => [1,4,3,6,2,5,7] => 3
[1,4,3,6,2,7,5] => [1,3,2,5,4,7,6] => 3
[1,4,3,6,5,2,7] => [1,3,2,6,5,4,7] => 3
[1,4,3,6,5,7,2] => [1,3,2,5,4,7,6] => 3
[1,4,3,6,7,2,5] => [1,3,2,5,7,4,6] => 3
[1,4,3,6,7,5,2] => [1,3,2,4,7,6,5] => 3
[1,4,3,7,2,5,6] => [1,4,3,7,2,5,6] => 3
[1,4,3,7,2,6,5] => [1,4,3,7,2,6,5] => 4
[1,4,3,7,5,2,6] => [1,3,2,7,5,4,6] => 3
[1,4,3,7,5,6,2] => [1,3,2,7,4,6,5] => 3
[1,4,3,7,6,2,5] => [1,4,3,7,6,2,5] => 4
[1,4,3,7,6,5,2] => [1,3,2,7,6,5,4] => 4
[1,4,5,2,3,6,7] => [1,3,5,2,4,6,7] => 2
[1,4,5,2,3,7,6] => [1,3,5,2,4,7,6] => 3
[1,4,5,2,6,3,7] => [1,2,4,3,6,5,7] => 2
[1,4,5,2,6,7,3] => [1,2,4,3,5,7,6] => 2
[1,4,5,2,7,3,6] => [1,3,5,2,7,4,6] => 3
[1,4,5,2,7,6,3] => [1,2,4,3,7,6,5] => 3
[1,4,5,3,2,6,7] => [1,2,5,4,3,6,7] => 2
[1,4,5,3,2,7,6] => [1,2,5,4,3,7,6] => 3
[1,4,5,3,6,2,7] => [1,2,4,3,6,5,7] => 2
[1,4,5,3,6,7,2] => [1,2,4,3,5,7,6] => 2
[1,4,5,3,7,2,6] => [1,2,5,4,7,3,6] => 3
[1,4,5,3,7,6,2] => [1,2,4,3,7,6,5] => 3
[1,4,5,6,2,3,7] => [1,2,4,6,3,5,7] => 2
[1,4,5,6,2,7,3] => [1,2,3,5,4,7,6] => 2
[1,4,5,6,3,2,7] => [1,2,3,6,5,4,7] => 2
[1,4,5,6,3,7,2] => [1,2,3,5,4,7,6] => 2
[1,4,5,6,7,2,3] => [1,2,3,5,7,4,6] => 2
[1,4,5,6,7,3,2] => [1,2,3,4,7,6,5] => 2
[1,4,5,7,2,3,6] => [1,3,5,7,2,4,6] => 3
[1,4,5,7,2,6,3] => [1,2,4,7,3,6,5] => 3
[1,4,5,7,3,2,6] => [1,2,5,7,4,3,6] => 3
[1,4,5,7,3,6,2] => [1,2,4,7,3,6,5] => 3
[1,4,5,7,6,2,3] => [1,2,4,7,6,3,5] => 3
[1,4,5,7,6,3,2] => [1,2,3,7,6,5,4] => 3
[1,4,6,2,3,5,7] => [1,4,6,2,3,5,7] => 2
[1,4,6,2,3,7,5] => [1,3,5,2,4,7,6] => 3
[1,4,6,2,5,3,7] => [1,3,6,2,5,4,7] => 3
[1,4,6,2,5,7,3] => [1,3,5,2,4,7,6] => 3
[1,4,6,2,7,3,5] => [1,3,5,2,7,4,6] => 3
[1,4,6,2,7,5,3] => [1,2,4,3,7,6,5] => 3
[1,4,6,3,2,5,7] => [1,4,6,3,2,5,7] => 3
[1,4,6,3,2,7,5] => [1,2,5,4,3,7,6] => 3
[1,4,6,3,5,2,7] => [1,3,6,2,5,4,7] => 3
[1,4,6,3,5,7,2] => [1,3,5,2,4,7,6] => 3
[1,4,6,3,7,2,5] => [1,2,5,4,7,3,6] => 3
[1,4,6,3,7,5,2] => [1,2,4,3,7,6,5] => 3
[1,4,6,5,2,3,7] => [1,3,6,5,2,4,7] => 3
[1,4,6,5,2,7,3] => [1,2,5,4,3,7,6] => 3
[1,4,6,5,3,2,7] => [1,2,6,5,4,3,7] => 3
[1,4,6,5,3,7,2] => [1,2,5,4,3,7,6] => 3
[1,4,6,5,7,2,3] => [1,2,5,4,7,3,6] => 3
[1,4,6,5,7,3,2] => [1,2,4,3,7,6,5] => 3
[1,4,6,7,2,3,5] => [1,3,5,7,2,4,6] => 3
[1,4,6,7,2,5,3] => [1,2,4,7,3,6,5] => 3
[1,4,6,7,3,2,5] => [1,2,5,7,4,3,6] => 3
[1,4,6,7,3,5,2] => [1,2,4,7,3,6,5] => 3
[1,4,6,7,5,2,3] => [1,2,4,7,6,3,5] => 3
[1,4,6,7,5,3,2] => [1,2,3,7,6,5,4] => 3
[1,4,7,2,5,3,6] => [1,3,7,2,5,4,6] => 3
[1,4,7,2,5,6,3] => [1,3,7,2,4,6,5] => 3
[1,4,7,2,6,5,3] => [1,3,7,2,6,5,4] => 4
[1,4,7,3,5,2,6] => [1,3,7,2,5,4,6] => 3
[1,4,7,3,5,6,2] => [1,3,7,2,4,6,5] => 3
[1,4,7,3,6,5,2] => [1,3,7,2,6,5,4] => 4
[1,4,7,5,2,3,6] => [1,3,7,5,2,4,6] => 3
[1,4,7,5,2,6,3] => [1,2,7,4,3,6,5] => 3
[1,4,7,5,3,2,6] => [1,2,7,5,4,3,6] => 3
[1,4,7,5,3,6,2] => [1,2,7,4,3,6,5] => 3
[1,4,7,5,6,2,3] => [1,2,7,4,6,3,5] => 3
[1,4,7,5,6,3,2] => [1,2,7,3,6,5,4] => 3
[1,4,7,6,2,5,3] => [1,3,7,6,2,5,4] => 4
[1,4,7,6,3,5,2] => [1,3,7,6,2,5,4] => 4
[1,4,7,6,5,2,3] => [1,3,7,6,5,2,4] => 4
[1,4,7,6,5,3,2] => [1,2,7,6,5,4,3] => 4
[1,5,2,3,6,4,7] => [1,4,2,3,6,5,7] => 2
[1,5,2,3,6,7,4] => [1,4,2,3,5,7,6] => 2
[1,5,2,3,7,6,4] => [1,4,2,3,7,6,5] => 3
[1,5,2,4,6,3,7] => [1,4,2,3,6,5,7] => 2
[1,5,2,4,6,7,3] => [1,4,2,3,5,7,6] => 2
[1,5,2,4,7,6,3] => [1,4,2,3,7,6,5] => 3
[1,5,2,6,3,4,7] => [1,4,2,6,3,5,7] => 2
[1,5,2,6,3,7,4] => [1,3,2,5,4,7,6] => 3
[1,5,2,6,4,3,7] => [1,3,2,6,5,4,7] => 3
[1,5,2,6,4,7,3] => [1,3,2,5,4,7,6] => 3
[1,5,2,6,7,3,4] => [1,3,2,5,7,4,6] => 3
[1,5,2,6,7,4,3] => [1,3,2,4,7,6,5] => 3
[1,5,2,7,3,6,4] => [1,4,2,7,3,6,5] => 3
[1,5,2,7,4,6,3] => [1,4,2,7,3,6,5] => 3
[1,5,2,7,6,3,4] => [1,4,2,7,6,3,5] => 3
[1,5,2,7,6,4,3] => [1,3,2,7,6,5,4] => 4
[1,5,3,2,6,4,7] => [1,4,3,2,6,5,7] => 3
[1,5,3,2,6,7,4] => [1,4,3,2,5,7,6] => 3
[1,5,3,2,7,6,4] => [1,4,3,2,7,6,5] => 4
[1,5,3,4,6,2,7] => [1,4,2,3,6,5,7] => 2
[1,5,3,4,6,7,2] => [1,4,2,3,5,7,6] => 2
[1,5,3,4,7,6,2] => [1,4,2,3,7,6,5] => 3
[1,5,3,6,2,4,7] => [1,4,3,6,2,5,7] => 3
[1,5,3,6,2,7,4] => [1,3,2,5,4,7,6] => 3
[1,5,3,6,4,2,7] => [1,3,2,6,5,4,7] => 3
[1,5,3,6,4,7,2] => [1,3,2,5,4,7,6] => 3
[1,5,3,6,7,2,4] => [1,3,2,5,7,4,6] => 3
[1,5,3,6,7,4,2] => [1,3,2,4,7,6,5] => 3
[1,5,3,7,2,6,4] => [1,4,3,7,2,6,5] => 4
[1,5,3,7,4,6,2] => [1,4,2,7,3,6,5] => 3
[1,5,3,7,6,2,4] => [1,4,3,7,6,2,5] => 4
[1,5,3,7,6,4,2] => [1,3,2,7,6,5,4] => 4
[1,5,4,2,6,3,7] => [1,4,3,2,6,5,7] => 3
[1,5,4,2,6,7,3] => [1,4,3,2,5,7,6] => 3
[1,5,4,2,7,6,3] => [1,4,3,2,7,6,5] => 4
[1,5,4,3,6,2,7] => [1,4,3,2,6,5,7] => 3
[1,5,4,3,6,7,2] => [1,4,3,2,5,7,6] => 3
[1,5,4,3,7,6,2] => [1,4,3,2,7,6,5] => 4
[1,5,4,6,2,3,7] => [1,4,3,6,2,5,7] => 3
[1,5,4,6,2,7,3] => [1,3,2,5,4,7,6] => 3
[1,5,4,6,3,2,7] => [1,3,2,6,5,4,7] => 3
[1,5,4,6,3,7,2] => [1,3,2,5,4,7,6] => 3
[1,5,4,6,7,2,3] => [1,3,2,5,7,4,6] => 3
[1,5,4,6,7,3,2] => [1,3,2,4,7,6,5] => 3
[1,5,4,7,2,6,3] => [1,4,3,7,2,6,5] => 4
[1,5,4,7,3,6,2] => [1,4,3,7,2,6,5] => 4
[1,5,4,7,6,2,3] => [1,4,3,7,6,2,5] => 4
[1,5,4,7,6,3,2] => [1,3,2,7,6,5,4] => 4
[1,5,6,2,3,4,7] => [1,4,6,2,3,5,7] => 2
[1,5,6,2,3,7,4] => [1,3,5,2,4,7,6] => 3
[1,5,6,2,4,3,7] => [1,3,6,2,5,4,7] => 3
[1,5,6,2,4,7,3] => [1,3,5,2,4,7,6] => 3
[1,5,6,2,7,3,4] => [1,3,5,2,7,4,6] => 3
[1,5,6,2,7,4,3] => [1,2,4,3,7,6,5] => 3
[1,5,6,3,2,4,7] => [1,4,6,3,2,5,7] => 3
[1,5,6,3,2,7,4] => [1,2,5,4,3,7,6] => 3
[1,5,6,3,4,2,7] => [1,3,6,2,5,4,7] => 3
[1,5,6,3,4,7,2] => [1,3,5,2,4,7,6] => 3
[1,5,6,3,7,2,4] => [1,2,5,4,7,3,6] => 3
[1,5,6,3,7,4,2] => [1,2,4,3,7,6,5] => 3
[1,5,6,4,2,3,7] => [1,3,6,5,2,4,7] => 3
[1,5,6,4,2,7,3] => [1,2,5,4,3,7,6] => 3
[1,5,6,4,3,2,7] => [1,2,6,5,4,3,7] => 3
[1,5,6,4,3,7,2] => [1,2,5,4,3,7,6] => 3
[1,5,6,4,7,2,3] => [1,2,5,4,7,3,6] => 3
[1,5,6,4,7,3,2] => [1,2,4,3,7,6,5] => 3
[1,5,6,7,2,3,4] => [1,3,5,7,2,4,6] => 3
[1,5,6,7,2,4,3] => [1,2,4,7,3,6,5] => 3
[1,5,6,7,3,2,4] => [1,2,5,7,4,3,6] => 3
[1,5,6,7,3,4,2] => [1,2,4,7,3,6,5] => 3
[1,5,6,7,4,2,3] => [1,2,4,7,6,3,5] => 3
[1,5,6,7,4,3,2] => [1,2,3,7,6,5,4] => 3
[1,5,7,2,6,4,3] => [1,3,7,2,6,5,4] => 4
[1,5,7,3,6,4,2] => [1,3,7,2,6,5,4] => 4
[1,5,7,4,6,3,2] => [1,3,7,2,6,5,4] => 4
[1,5,7,6,2,4,3] => [1,3,7,6,2,5,4] => 4
[1,5,7,6,3,4,2] => [1,3,7,6,2,5,4] => 4
[1,5,7,6,4,2,3] => [1,3,7,6,5,2,4] => 4
[1,5,7,6,4,3,2] => [1,2,7,6,5,4,3] => 4
[1,6,2,3,7,5,4] => [1,4,2,3,7,6,5] => 3
[1,6,2,4,7,5,3] => [1,4,2,3,7,6,5] => 3
[1,6,2,5,7,4,3] => [1,4,2,3,7,6,5] => 3
[1,6,2,7,3,5,4] => [1,4,2,7,3,6,5] => 3
[1,6,2,7,4,5,3] => [1,4,2,7,3,6,5] => 3
[1,6,2,7,5,3,4] => [1,4,2,7,6,3,5] => 3
[1,6,2,7,5,4,3] => [1,3,2,7,6,5,4] => 4
[1,6,3,2,7,5,4] => [1,4,3,2,7,6,5] => 4
[1,6,3,4,7,5,2] => [1,4,2,3,7,6,5] => 3
[1,6,3,5,7,4,2] => [1,4,2,3,7,6,5] => 3
[1,6,3,7,2,5,4] => [1,4,3,7,2,6,5] => 4
[1,6,3,7,4,5,2] => [1,4,2,7,3,6,5] => 3
[1,6,3,7,5,2,4] => [1,4,3,7,6,2,5] => 4
[1,6,3,7,5,4,2] => [1,3,2,7,6,5,4] => 4
[1,6,4,2,7,5,3] => [1,4,3,2,7,6,5] => 4
[1,6,4,3,7,5,2] => [1,4,3,2,7,6,5] => 4
[1,6,4,5,7,3,2] => [1,4,2,3,7,6,5] => 3
[1,6,4,7,2,5,3] => [1,4,3,7,2,6,5] => 4
[1,6,4,7,3,5,2] => [1,4,3,7,2,6,5] => 4
[1,6,4,7,5,2,3] => [1,4,3,7,6,2,5] => 4
[1,6,4,7,5,3,2] => [1,3,2,7,6,5,4] => 4
[1,6,5,2,7,4,3] => [1,4,3,2,7,6,5] => 4
[1,6,5,3,7,4,2] => [1,4,3,2,7,6,5] => 4
[1,6,5,4,7,3,2] => [1,4,3,2,7,6,5] => 4
[1,6,5,7,2,4,3] => [1,4,3,7,2,6,5] => 4
[1,6,5,7,3,4,2] => [1,4,3,7,2,6,5] => 4
[1,6,5,7,4,2,3] => [1,4,3,7,6,2,5] => 4
[1,6,5,7,4,3,2] => [1,3,2,7,6,5,4] => 4
[1,6,7,2,5,4,3] => [1,3,7,2,6,5,4] => 4
[1,6,7,3,5,4,2] => [1,3,7,2,6,5,4] => 4
[1,6,7,4,5,3,2] => [1,3,7,2,6,5,4] => 4
[1,6,7,5,2,4,3] => [1,3,7,6,2,5,4] => 4
[1,6,7,5,3,4,2] => [1,3,7,6,2,5,4] => 4
[1,6,7,5,4,2,3] => [1,3,7,6,5,2,4] => 4
[1,6,7,5,4,3,2] => [1,2,7,6,5,4,3] => 4
[2,3,1,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[2,3,1,4,5,7,6] => [1,3,2,4,5,7,6] => 2
[2,3,1,4,6,5,7] => [1,3,2,4,6,5,7] => 2
[2,3,1,4,6,7,5] => [1,3,2,4,5,7,6] => 2
[2,3,1,4,7,5,6] => [1,3,2,4,7,5,6] => 2
[2,3,1,4,7,6,5] => [1,3,2,4,7,6,5] => 3
[2,3,1,5,4,6,7] => [1,3,2,5,4,6,7] => 2
[2,3,1,5,4,7,6] => [1,3,2,5,4,7,6] => 3
[2,3,1,5,6,4,7] => [1,3,2,4,6,5,7] => 2
[2,3,1,5,6,7,4] => [1,3,2,4,5,7,6] => 2
[2,3,1,5,7,4,6] => [1,3,2,5,7,4,6] => 3
[2,3,1,5,7,6,4] => [1,3,2,4,7,6,5] => 3
[2,3,1,6,4,5,7] => [1,3,2,6,4,5,7] => 2
[2,3,1,6,4,7,5] => [1,3,2,5,4,7,6] => 3
[2,3,1,6,5,4,7] => [1,3,2,6,5,4,7] => 3
[2,3,1,6,5,7,4] => [1,3,2,5,4,7,6] => 3
[2,3,1,6,7,4,5] => [1,3,2,5,7,4,6] => 3
[2,3,1,6,7,5,4] => [1,3,2,4,7,6,5] => 3
[2,3,1,7,4,5,6] => [1,3,2,7,4,5,6] => 2
[2,3,1,7,4,6,5] => [1,3,2,7,4,6,5] => 3
[2,3,1,7,5,4,6] => [1,3,2,7,5,4,6] => 3
[2,3,1,7,5,6,4] => [1,3,2,7,4,6,5] => 3
[2,3,1,7,6,4,5] => [1,3,2,7,6,4,5] => 3
[2,3,1,7,6,5,4] => [1,3,2,7,6,5,4] => 4
[2,3,4,1,5,6,7] => [1,2,4,3,5,6,7] => 1
[2,3,4,1,5,7,6] => [1,2,4,3,5,7,6] => 2
[2,3,4,1,6,5,7] => [1,2,4,3,6,5,7] => 2
[2,3,4,1,6,7,5] => [1,2,4,3,5,7,6] => 2
[2,3,4,1,7,5,6] => [1,2,4,3,7,5,6] => 2
[2,3,4,1,7,6,5] => [1,2,4,3,7,6,5] => 3
[2,3,4,5,1,6,7] => [1,2,3,5,4,6,7] => 1
[2,3,4,5,1,7,6] => [1,2,3,5,4,7,6] => 2
[2,3,4,5,6,1,7] => [1,2,3,4,6,5,7] => 1
[2,3,4,5,6,7,1] => [1,2,3,4,5,7,6] => 1
[2,3,4,5,7,1,6] => [1,2,3,5,7,4,6] => 2
[2,3,4,5,7,6,1] => [1,2,3,4,7,6,5] => 2
[2,3,4,6,1,5,7] => [1,2,4,6,3,5,7] => 2
[2,3,4,6,1,7,5] => [1,2,3,5,4,7,6] => 2
[2,3,4,6,5,1,7] => [1,2,3,6,5,4,7] => 2
[2,3,4,6,5,7,1] => [1,2,3,5,4,7,6] => 2
[2,3,4,6,7,1,5] => [1,2,3,5,7,4,6] => 2
[2,3,4,6,7,5,1] => [1,2,3,4,7,6,5] => 2
[2,3,4,7,1,5,6] => [1,2,4,7,3,5,6] => 2
[2,3,4,7,1,6,5] => [1,2,4,7,3,6,5] => 3
[2,3,4,7,5,1,6] => [1,2,3,7,5,4,6] => 2
[2,3,4,7,5,6,1] => [1,2,3,7,4,6,5] => 2
[2,3,4,7,6,1,5] => [1,2,4,7,6,3,5] => 3
[2,3,4,7,6,5,1] => [1,2,3,7,6,5,4] => 3
[2,3,5,1,4,6,7] => [1,3,5,2,4,6,7] => 2
[2,3,5,1,4,7,6] => [1,3,5,2,4,7,6] => 3
[2,3,5,1,6,4,7] => [1,2,4,3,6,5,7] => 2
[2,3,5,1,6,7,4] => [1,2,4,3,5,7,6] => 2
[2,3,5,1,7,4,6] => [1,3,5,2,7,4,6] => 3
[2,3,5,1,7,6,4] => [1,2,4,3,7,6,5] => 3
[2,3,5,4,1,6,7] => [1,2,5,4,3,6,7] => 2
[2,3,5,4,1,7,6] => [1,2,5,4,3,7,6] => 3
[2,3,5,4,6,1,7] => [1,2,4,3,6,5,7] => 2
[2,3,5,4,6,7,1] => [1,2,4,3,5,7,6] => 2
[2,3,5,4,7,1,6] => [1,2,5,4,7,3,6] => 3
[2,3,5,4,7,6,1] => [1,2,4,3,7,6,5] => 3
[2,3,5,6,1,4,7] => [1,2,4,6,3,5,7] => 2
[2,3,5,6,1,7,4] => [1,2,3,5,4,7,6] => 2
[2,3,5,6,4,1,7] => [1,2,3,6,5,4,7] => 2
[2,3,5,6,4,7,1] => [1,2,3,5,4,7,6] => 2
[2,3,5,6,7,1,4] => [1,2,3,5,7,4,6] => 2
[2,3,5,6,7,4,1] => [1,2,3,4,7,6,5] => 2
[2,3,5,7,1,4,6] => [1,3,5,7,2,4,6] => 3
[2,3,5,7,1,6,4] => [1,2,4,7,3,6,5] => 3
[2,3,5,7,4,1,6] => [1,2,5,7,4,3,6] => 3
[2,3,5,7,4,6,1] => [1,2,4,7,3,6,5] => 3
[2,3,5,7,6,1,4] => [1,2,4,7,6,3,5] => 3
[2,3,5,7,6,4,1] => [1,2,3,7,6,5,4] => 3
[2,3,6,1,4,5,7] => [1,3,6,2,4,5,7] => 2
[2,3,6,1,4,7,5] => [1,3,5,2,4,7,6] => 3
[2,3,6,1,5,4,7] => [1,3,6,2,5,4,7] => 3
[2,3,6,1,5,7,4] => [1,3,5,2,4,7,6] => 3
[2,3,6,1,7,4,5] => [1,3,5,2,7,4,6] => 3
[2,3,6,1,7,5,4] => [1,2,4,3,7,6,5] => 3
[2,3,6,4,1,5,7] => [1,2,6,4,3,5,7] => 2
[2,3,6,4,1,7,5] => [1,2,5,4,3,7,6] => 3
[2,3,6,4,5,1,7] => [1,2,6,3,5,4,7] => 2
[2,3,6,4,5,7,1] => [1,2,5,3,4,7,6] => 2
[2,3,6,4,7,1,5] => [1,2,5,4,7,3,6] => 3
[2,3,6,4,7,5,1] => [1,2,4,3,7,6,5] => 3
[2,3,6,5,1,4,7] => [1,3,6,5,2,4,7] => 3
[2,3,6,5,1,7,4] => [1,2,5,4,3,7,6] => 3
[2,3,6,5,4,1,7] => [1,2,6,5,4,3,7] => 3
[2,3,6,5,4,7,1] => [1,2,5,4,3,7,6] => 3
[2,3,6,5,7,1,4] => [1,2,5,4,7,3,6] => 3
[2,3,6,5,7,4,1] => [1,2,4,3,7,6,5] => 3
[2,3,6,7,1,4,5] => [1,3,5,7,2,4,6] => 3
[2,3,6,7,1,5,4] => [1,2,4,7,3,6,5] => 3
[2,3,6,7,4,1,5] => [1,2,5,7,4,3,6] => 3
[2,3,6,7,4,5,1] => [1,2,4,7,3,6,5] => 3
[2,3,6,7,5,1,4] => [1,2,4,7,6,3,5] => 3
[2,3,6,7,5,4,1] => [1,2,3,7,6,5,4] => 3
[2,3,7,1,4,5,6] => [1,3,7,2,4,5,6] => 2
[2,3,7,1,4,6,5] => [1,3,7,2,4,6,5] => 3
[2,3,7,1,5,4,6] => [1,3,7,2,5,4,6] => 3
[2,3,7,1,5,6,4] => [1,3,7,2,4,6,5] => 3
[2,3,7,1,6,4,5] => [1,3,7,2,6,4,5] => 3
[2,3,7,1,6,5,4] => [1,3,7,2,6,5,4] => 4
[2,3,7,4,1,5,6] => [1,2,7,4,3,5,6] => 2
[2,3,7,4,1,6,5] => [1,2,7,4,3,6,5] => 3
[2,3,7,4,5,1,6] => [1,2,7,3,5,4,6] => 2
[2,3,7,4,5,6,1] => [1,2,7,3,4,6,5] => 2
[2,3,7,4,6,1,5] => [1,2,7,4,6,3,5] => 3
[2,3,7,4,6,5,1] => [1,2,7,3,6,5,4] => 3
[2,3,7,5,1,4,6] => [1,3,7,5,2,4,6] => 3
[2,3,7,5,1,6,4] => [1,2,7,4,3,6,5] => 3
[2,3,7,5,4,1,6] => [1,2,7,5,4,3,6] => 3
[2,3,7,5,4,6,1] => [1,2,7,4,3,6,5] => 3
[2,3,7,5,6,1,4] => [1,2,7,4,6,3,5] => 3
[2,3,7,5,6,4,1] => [1,2,7,3,6,5,4] => 3
[2,3,7,6,1,4,5] => [1,3,7,6,2,4,5] => 3
[2,3,7,6,1,5,4] => [1,3,7,6,2,5,4] => 4
[2,3,7,6,4,1,5] => [1,2,7,6,4,3,5] => 3
[2,3,7,6,4,5,1] => [1,2,7,6,3,5,4] => 3
[2,3,7,6,5,1,4] => [1,3,7,6,5,2,4] => 4
[2,3,7,6,5,4,1] => [1,2,7,6,5,4,3] => 4
[2,4,1,5,3,6,7] => [1,3,2,5,4,6,7] => 2
[2,4,1,5,3,7,6] => [1,3,2,5,4,7,6] => 3
[2,4,1,5,6,3,7] => [1,3,2,4,6,5,7] => 2
[2,4,1,5,6,7,3] => [1,3,2,4,5,7,6] => 2
[2,4,1,5,7,3,6] => [1,3,2,5,7,4,6] => 3
[2,4,1,5,7,6,3] => [1,3,2,4,7,6,5] => 3
[2,4,1,6,3,7,5] => [1,3,2,5,4,7,6] => 3
[2,4,1,6,5,3,7] => [1,3,2,6,5,4,7] => 3
[2,4,1,6,5,7,3] => [1,3,2,5,4,7,6] => 3
[2,4,1,6,7,3,5] => [1,3,2,5,7,4,6] => 3
[2,4,1,6,7,5,3] => [1,3,2,4,7,6,5] => 3
[2,4,1,7,5,3,6] => [1,3,2,7,5,4,6] => 3
[2,4,1,7,5,6,3] => [1,3,2,7,4,6,5] => 3
[2,4,1,7,6,5,3] => [1,3,2,7,6,5,4] => 4
[2,4,3,1,5,6,7] => [1,4,3,2,5,6,7] => 2
[2,4,3,1,5,7,6] => [1,4,3,2,5,7,6] => 3
[2,4,3,1,6,5,7] => [1,4,3,2,6,5,7] => 3
[2,4,3,1,6,7,5] => [1,4,3,2,5,7,6] => 3
[2,4,3,1,7,5,6] => [1,4,3,2,7,5,6] => 3
[2,4,3,1,7,6,5] => [1,4,3,2,7,6,5] => 4
[2,4,3,5,1,6,7] => [1,3,2,5,4,6,7] => 2
[2,4,3,5,1,7,6] => [1,3,2,5,4,7,6] => 3
[2,4,3,5,6,1,7] => [1,3,2,4,6,5,7] => 2
[2,4,3,5,6,7,1] => [1,3,2,4,5,7,6] => 2
[2,4,3,5,7,1,6] => [1,3,2,5,7,4,6] => 3
[2,4,3,5,7,6,1] => [1,3,2,4,7,6,5] => 3
[2,4,3,6,1,5,7] => [1,4,3,6,2,5,7] => 3
[2,4,3,6,1,7,5] => [1,3,2,5,4,7,6] => 3
[2,4,3,6,5,1,7] => [1,3,2,6,5,4,7] => 3
[2,4,3,6,5,7,1] => [1,3,2,5,4,7,6] => 3
[2,4,3,6,7,1,5] => [1,3,2,5,7,4,6] => 3
[2,4,3,6,7,5,1] => [1,3,2,4,7,6,5] => 3
[2,4,3,7,1,5,6] => [1,4,3,7,2,5,6] => 3
[2,4,3,7,1,6,5] => [1,4,3,7,2,6,5] => 4
[2,4,3,7,5,1,6] => [1,3,2,7,5,4,6] => 3
[2,4,3,7,5,6,1] => [1,3,2,7,4,6,5] => 3
[2,4,3,7,6,1,5] => [1,4,3,7,6,2,5] => 4
[2,4,3,7,6,5,1] => [1,3,2,7,6,5,4] => 4
[2,4,5,1,3,6,7] => [1,3,5,2,4,6,7] => 2
[2,4,5,1,3,7,6] => [1,3,5,2,4,7,6] => 3
[2,4,5,1,6,3,7] => [1,2,4,3,6,5,7] => 2
[2,4,5,1,6,7,3] => [1,2,4,3,5,7,6] => 2
[2,4,5,1,7,3,6] => [1,3,5,2,7,4,6] => 3
[2,4,5,1,7,6,3] => [1,2,4,3,7,6,5] => 3
[2,4,5,3,1,6,7] => [1,2,5,4,3,6,7] => 2
[2,4,5,3,1,7,6] => [1,2,5,4,3,7,6] => 3
[2,4,5,3,6,1,7] => [1,2,4,3,6,5,7] => 2
[2,4,5,3,6,7,1] => [1,2,4,3,5,7,6] => 2
[2,4,5,3,7,1,6] => [1,2,5,4,7,3,6] => 3
[2,4,5,3,7,6,1] => [1,2,4,3,7,6,5] => 3
[2,4,5,6,1,3,7] => [1,2,4,6,3,5,7] => 2
[2,4,5,6,1,7,3] => [1,2,3,5,4,7,6] => 2
[2,4,5,6,3,1,7] => [1,2,3,6,5,4,7] => 2
[2,4,5,6,3,7,1] => [1,2,3,5,4,7,6] => 2
[2,4,5,6,7,1,3] => [1,2,3,5,7,4,6] => 2
[2,4,5,6,7,3,1] => [1,2,3,4,7,6,5] => 2
[2,4,5,7,1,3,6] => [1,3,5,7,2,4,6] => 3
[2,4,5,7,1,6,3] => [1,2,4,7,3,6,5] => 3
[2,4,5,7,3,1,6] => [1,2,5,7,4,3,6] => 3
[2,4,5,7,3,6,1] => [1,2,4,7,3,6,5] => 3
[2,4,5,7,6,1,3] => [1,2,4,7,6,3,5] => 3
[2,4,5,7,6,3,1] => [1,2,3,7,6,5,4] => 3
[2,4,6,1,3,7,5] => [1,3,5,2,4,7,6] => 3
[2,4,6,1,5,3,7] => [1,3,6,2,5,4,7] => 3
[2,4,6,1,5,7,3] => [1,3,5,2,4,7,6] => 3
[2,4,6,1,7,3,5] => [1,3,5,2,7,4,6] => 3
[2,4,6,1,7,5,3] => [1,2,4,3,7,6,5] => 3
[2,4,6,3,1,5,7] => [1,4,6,3,2,5,7] => 3
[2,4,6,3,1,7,5] => [1,2,5,4,3,7,6] => 3
[2,4,6,3,5,1,7] => [1,3,6,2,5,4,7] => 3
[2,4,6,3,5,7,1] => [1,3,5,2,4,7,6] => 3
[2,4,6,3,7,1,5] => [1,2,5,4,7,3,6] => 3
[2,4,6,3,7,5,1] => [1,2,4,3,7,6,5] => 3
[2,4,6,5,1,3,7] => [1,3,6,5,2,4,7] => 3
[2,4,6,5,1,7,3] => [1,2,5,4,3,7,6] => 3
[2,4,6,5,3,1,7] => [1,2,6,5,4,3,7] => 3
[2,4,6,5,3,7,1] => [1,2,5,4,3,7,6] => 3
[2,4,6,5,7,1,3] => [1,2,5,4,7,3,6] => 3
[2,4,6,5,7,3,1] => [1,2,4,3,7,6,5] => 3
[2,4,6,7,1,3,5] => [1,3,5,7,2,4,6] => 3
[2,4,6,7,1,5,3] => [1,2,4,7,3,6,5] => 3
[2,4,6,7,3,1,5] => [1,2,5,7,4,3,6] => 3
[2,4,6,7,3,5,1] => [1,2,4,7,3,6,5] => 3
[2,4,6,7,5,1,3] => [1,2,4,7,6,3,5] => 3
[2,4,6,7,5,3,1] => [1,2,3,7,6,5,4] => 3
[2,4,7,1,5,3,6] => [1,3,7,2,5,4,6] => 3
[2,4,7,1,5,6,3] => [1,3,7,2,4,6,5] => 3
[2,4,7,1,6,5,3] => [1,3,7,2,6,5,4] => 4
[2,4,7,3,5,1,6] => [1,3,7,2,5,4,6] => 3
[2,4,7,3,5,6,1] => [1,3,7,2,4,6,5] => 3
[2,4,7,3,6,5,1] => [1,3,7,2,6,5,4] => 4
[2,4,7,5,1,3,6] => [1,3,7,5,2,4,6] => 3
[2,4,7,5,1,6,3] => [1,2,7,4,3,6,5] => 3
[2,4,7,5,3,1,6] => [1,2,7,5,4,3,6] => 3
[2,4,7,5,3,6,1] => [1,2,7,4,3,6,5] => 3
[2,4,7,5,6,1,3] => [1,2,7,4,6,3,5] => 3
[2,4,7,5,6,3,1] => [1,2,7,3,6,5,4] => 3
[2,4,7,6,1,5,3] => [1,3,7,6,2,5,4] => 4
[2,4,7,6,3,5,1] => [1,3,7,6,2,5,4] => 4
[2,4,7,6,5,1,3] => [1,3,7,6,5,2,4] => 4
[2,4,7,6,5,3,1] => [1,2,7,6,5,4,3] => 4
[2,5,1,6,3,7,4] => [1,3,2,5,4,7,6] => 3
[2,5,1,6,4,3,7] => [1,3,2,6,5,4,7] => 3
[2,5,1,6,4,7,3] => [1,3,2,5,4,7,6] => 3
[2,5,1,6,7,3,4] => [1,3,2,5,7,4,6] => 3
[2,5,1,6,7,4,3] => [1,3,2,4,7,6,5] => 3
[2,5,1,7,6,4,3] => [1,3,2,7,6,5,4] => 4
[2,5,3,1,6,4,7] => [1,4,3,2,6,5,7] => 3
[2,5,3,1,6,7,4] => [1,4,3,2,5,7,6] => 3
[2,5,3,1,7,6,4] => [1,4,3,2,7,6,5] => 4
[2,5,3,4,6,1,7] => [1,4,2,3,6,5,7] => 2
[2,5,3,4,6,7,1] => [1,4,2,3,5,7,6] => 2
[2,5,3,4,7,6,1] => [1,4,2,3,7,6,5] => 3
[2,5,3,6,1,4,7] => [1,4,3,6,2,5,7] => 3
[2,5,3,6,1,7,4] => [1,3,2,5,4,7,6] => 3
[2,5,3,6,4,1,7] => [1,3,2,6,5,4,7] => 3
[2,5,3,6,4,7,1] => [1,3,2,5,4,7,6] => 3
[2,5,3,6,7,1,4] => [1,3,2,5,7,4,6] => 3
[2,5,3,6,7,4,1] => [1,3,2,4,7,6,5] => 3
[2,5,3,7,1,6,4] => [1,4,3,7,2,6,5] => 4
[2,5,3,7,4,6,1] => [1,4,2,7,3,6,5] => 3
[2,5,3,7,6,1,4] => [1,4,3,7,6,2,5] => 4
[2,5,3,7,6,4,1] => [1,3,2,7,6,5,4] => 4
[2,5,4,1,6,3,7] => [1,4,3,2,6,5,7] => 3
[2,5,4,1,6,7,3] => [1,4,3,2,5,7,6] => 3
[2,5,4,1,7,6,3] => [1,4,3,2,7,6,5] => 4
[2,5,4,3,6,1,7] => [1,4,3,2,6,5,7] => 3
[2,5,4,3,6,7,1] => [1,4,3,2,5,7,6] => 3
[2,5,4,3,7,6,1] => [1,4,3,2,7,6,5] => 4
[2,5,4,6,1,3,7] => [1,4,3,6,2,5,7] => 3
[2,5,4,6,1,7,3] => [1,3,2,5,4,7,6] => 3
[2,5,4,6,3,1,7] => [1,3,2,6,5,4,7] => 3
[2,5,4,6,3,7,1] => [1,3,2,5,4,7,6] => 3
[2,5,4,6,7,1,3] => [1,3,2,5,7,4,6] => 3
[2,5,4,6,7,3,1] => [1,3,2,4,7,6,5] => 3
[2,5,4,7,1,6,3] => [1,4,3,7,2,6,5] => 4
[2,5,4,7,3,6,1] => [1,4,3,7,2,6,5] => 4
[2,5,4,7,6,1,3] => [1,4,3,7,6,2,5] => 4
[2,5,4,7,6,3,1] => [1,3,2,7,6,5,4] => 4
[2,5,6,1,3,7,4] => [1,3,5,2,4,7,6] => 3
[2,5,6,1,4,3,7] => [1,3,6,2,5,4,7] => 3
[2,5,6,1,4,7,3] => [1,3,5,2,4,7,6] => 3
[2,5,6,1,7,3,4] => [1,3,5,2,7,4,6] => 3
[2,5,6,1,7,4,3] => [1,2,4,3,7,6,5] => 3
[2,5,6,3,1,4,7] => [1,4,6,3,2,5,7] => 3
[2,5,6,3,1,7,4] => [1,2,5,4,3,7,6] => 3
[2,5,6,3,4,1,7] => [1,3,6,2,5,4,7] => 3
[2,5,6,3,4,7,1] => [1,3,5,2,4,7,6] => 3
[2,5,6,3,7,1,4] => [1,2,5,4,7,3,6] => 3
[2,5,6,3,7,4,1] => [1,2,4,3,7,6,5] => 3
[2,5,6,4,1,3,7] => [1,3,6,5,2,4,7] => 3
[2,5,6,4,1,7,3] => [1,2,5,4,3,7,6] => 3
[2,5,6,4,3,1,7] => [1,2,6,5,4,3,7] => 3
[2,5,6,4,3,7,1] => [1,2,5,4,3,7,6] => 3
[2,5,6,4,7,1,3] => [1,2,5,4,7,3,6] => 3
[2,5,6,4,7,3,1] => [1,2,4,3,7,6,5] => 3
[2,5,6,7,1,3,4] => [1,3,5,7,2,4,6] => 3
[2,5,6,7,1,4,3] => [1,2,4,7,3,6,5] => 3
[2,5,6,7,3,1,4] => [1,2,5,7,4,3,6] => 3
[2,5,6,7,3,4,1] => [1,2,4,7,3,6,5] => 3
[2,5,6,7,4,1,3] => [1,2,4,7,6,3,5] => 3
[2,5,6,7,4,3,1] => [1,2,3,7,6,5,4] => 3
[2,5,7,1,6,4,3] => [1,3,7,2,6,5,4] => 4
[2,5,7,3,6,4,1] => [1,3,7,2,6,5,4] => 4
[2,5,7,4,6,3,1] => [1,3,7,2,6,5,4] => 4
[2,5,7,6,1,4,3] => [1,3,7,6,2,5,4] => 4
[2,5,7,6,3,4,1] => [1,3,7,6,2,5,4] => 4
[2,5,7,6,4,1,3] => [1,3,7,6,5,2,4] => 4
[2,5,7,6,4,3,1] => [1,2,7,6,5,4,3] => 4
[2,6,1,7,5,4,3] => [1,3,2,7,6,5,4] => 4
[2,6,3,1,7,5,4] => [1,4,3,2,7,6,5] => 4
[2,6,3,4,7,5,1] => [1,4,2,3,7,6,5] => 3
[2,6,3,5,7,4,1] => [1,4,2,3,7,6,5] => 3
[2,6,3,7,1,5,4] => [1,4,3,7,2,6,5] => 4
[2,6,3,7,4,5,1] => [1,4,2,7,3,6,5] => 3
[2,6,3,7,5,1,4] => [1,4,3,7,6,2,5] => 4
[2,6,3,7,5,4,1] => [1,3,2,7,6,5,4] => 4
[2,6,4,1,7,5,3] => [1,4,3,2,7,6,5] => 4
[2,6,4,3,7,5,1] => [1,4,3,2,7,6,5] => 4
[2,6,4,5,7,3,1] => [1,4,2,3,7,6,5] => 3
[2,6,4,7,1,5,3] => [1,4,3,7,2,6,5] => 4
[2,6,4,7,3,5,1] => [1,4,3,7,2,6,5] => 4
[2,6,4,7,5,1,3] => [1,4,3,7,6,2,5] => 4
[2,6,4,7,5,3,1] => [1,3,2,7,6,5,4] => 4
[2,6,5,1,7,4,3] => [1,4,3,2,7,6,5] => 4
[2,6,5,3,7,4,1] => [1,4,3,2,7,6,5] => 4
[2,6,5,4,7,3,1] => [1,4,3,2,7,6,5] => 4
[2,6,5,7,1,4,3] => [1,4,3,7,2,6,5] => 4
[2,6,5,7,3,4,1] => [1,4,3,7,2,6,5] => 4
[2,6,5,7,4,1,3] => [1,4,3,7,6,2,5] => 4
[2,6,5,7,4,3,1] => [1,3,2,7,6,5,4] => 4
[2,6,7,1,5,4,3] => [1,3,7,2,6,5,4] => 4
[2,6,7,3,5,4,1] => [1,3,7,2,6,5,4] => 4
[2,6,7,4,5,3,1] => [1,3,7,2,6,5,4] => 4
[2,6,7,5,1,4,3] => [1,3,7,6,2,5,4] => 4
[2,6,7,5,3,4,1] => [1,3,7,6,2,5,4] => 4
[2,6,7,5,4,1,3] => [1,3,7,6,5,2,4] => 4
[2,6,7,5,4,3,1] => [1,2,7,6,5,4,3] => 4
[3,4,1,5,2,6,7] => [1,3,2,5,4,6,7] => 2
[3,4,1,5,2,7,6] => [1,3,2,5,4,7,6] => 3
[3,4,1,5,6,2,7] => [1,3,2,4,6,5,7] => 2
[3,4,1,5,6,7,2] => [1,3,2,4,5,7,6] => 2
[3,4,1,5,7,2,6] => [1,3,2,5,7,4,6] => 3
[3,4,1,5,7,6,2] => [1,3,2,4,7,6,5] => 3
[3,4,1,6,2,7,5] => [1,3,2,5,4,7,6] => 3
[3,4,1,6,5,2,7] => [1,3,2,6,5,4,7] => 3
[3,4,1,6,5,7,2] => [1,3,2,5,4,7,6] => 3
[3,4,1,6,7,2,5] => [1,3,2,5,7,4,6] => 3
[3,4,1,6,7,5,2] => [1,3,2,4,7,6,5] => 3
[3,4,1,7,5,2,6] => [1,3,2,7,5,4,6] => 3
[3,4,1,7,5,6,2] => [1,3,2,7,4,6,5] => 3
[3,4,1,7,6,5,2] => [1,3,2,7,6,5,4] => 4
[3,4,2,1,5,6,7] => [1,4,3,2,5,6,7] => 2
[3,4,2,1,5,7,6] => [1,4,3,2,5,7,6] => 3
[3,4,2,1,6,5,7] => [1,4,3,2,6,5,7] => 3
[3,4,2,1,6,7,5] => [1,4,3,2,5,7,6] => 3
[3,4,2,1,7,5,6] => [1,4,3,2,7,5,6] => 3
[3,4,2,1,7,6,5] => [1,4,3,2,7,6,5] => 4
[3,4,2,5,1,6,7] => [1,3,2,5,4,6,7] => 2
[3,4,2,5,1,7,6] => [1,3,2,5,4,7,6] => 3
[3,4,2,5,6,1,7] => [1,3,2,4,6,5,7] => 2
[3,4,2,5,6,7,1] => [1,3,2,4,5,7,6] => 2
[3,4,2,5,7,1,6] => [1,3,2,5,7,4,6] => 3
[3,4,2,5,7,6,1] => [1,3,2,4,7,6,5] => 3
[3,4,2,6,1,5,7] => [1,4,3,6,2,5,7] => 3
[3,4,2,6,1,7,5] => [1,3,2,5,4,7,6] => 3
[3,4,2,6,5,1,7] => [1,3,2,6,5,4,7] => 3
[3,4,2,6,5,7,1] => [1,3,2,5,4,7,6] => 3
[3,4,2,6,7,1,5] => [1,3,2,5,7,4,6] => 3
[3,4,2,6,7,5,1] => [1,3,2,4,7,6,5] => 3
[3,4,2,7,1,5,6] => [1,4,3,7,2,5,6] => 3
[3,4,2,7,1,6,5] => [1,4,3,7,2,6,5] => 4
[3,4,2,7,5,1,6] => [1,3,2,7,5,4,6] => 3
[3,4,2,7,5,6,1] => [1,3,2,7,4,6,5] => 3
[3,4,2,7,6,1,5] => [1,4,3,7,6,2,5] => 4
[3,4,2,7,6,5,1] => [1,3,2,7,6,5,4] => 4
[3,4,5,1,2,6,7] => [1,3,5,2,4,6,7] => 2
[3,4,5,1,2,7,6] => [1,3,5,2,4,7,6] => 3
[3,4,5,1,6,2,7] => [1,2,4,3,6,5,7] => 2
[3,4,5,1,6,7,2] => [1,2,4,3,5,7,6] => 2
[3,4,5,1,7,2,6] => [1,3,5,2,7,4,6] => 3
[3,4,5,1,7,6,2] => [1,2,4,3,7,6,5] => 3
[3,4,5,2,1,6,7] => [1,2,5,4,3,6,7] => 2
[3,4,5,2,1,7,6] => [1,2,5,4,3,7,6] => 3
[3,4,5,2,6,1,7] => [1,2,4,3,6,5,7] => 2
[3,4,5,2,6,7,1] => [1,2,4,3,5,7,6] => 2
[3,4,5,2,7,1,6] => [1,2,5,4,7,3,6] => 3
[3,4,5,2,7,6,1] => [1,2,4,3,7,6,5] => 3
[3,4,5,6,1,2,7] => [1,2,4,6,3,5,7] => 2
[3,4,5,6,1,7,2] => [1,2,3,5,4,7,6] => 2
[3,4,5,6,2,1,7] => [1,2,3,6,5,4,7] => 2
[3,4,5,6,2,7,1] => [1,2,3,5,4,7,6] => 2
[3,4,5,6,7,1,2] => [1,2,3,5,7,4,6] => 2
[3,4,5,6,7,2,1] => [1,2,3,4,7,6,5] => 2
[3,4,5,7,1,2,6] => [1,3,5,7,2,4,6] => 3
[3,4,5,7,1,6,2] => [1,2,4,7,3,6,5] => 3
[3,4,5,7,2,1,6] => [1,2,5,7,4,3,6] => 3
[3,4,5,7,2,6,1] => [1,2,4,7,3,6,5] => 3
[3,4,5,7,6,1,2] => [1,2,4,7,6,3,5] => 3
[3,4,5,7,6,2,1] => [1,2,3,7,6,5,4] => 3
[3,4,6,1,2,7,5] => [1,3,5,2,4,7,6] => 3
[3,4,6,1,5,2,7] => [1,3,6,2,5,4,7] => 3
[3,4,6,1,5,7,2] => [1,3,5,2,4,7,6] => 3
[3,4,6,1,7,2,5] => [1,3,5,2,7,4,6] => 3
[3,4,6,1,7,5,2] => [1,2,4,3,7,6,5] => 3
[3,4,6,2,1,5,7] => [1,4,6,3,2,5,7] => 3
[3,4,6,2,1,7,5] => [1,2,5,4,3,7,6] => 3
[3,4,6,2,5,1,7] => [1,3,6,2,5,4,7] => 3
[3,4,6,2,5,7,1] => [1,3,5,2,4,7,6] => 3
[3,4,6,2,7,1,5] => [1,2,5,4,7,3,6] => 3
[3,4,6,2,7,5,1] => [1,2,4,3,7,6,5] => 3
[3,4,6,5,1,2,7] => [1,3,6,5,2,4,7] => 3
[3,4,6,5,1,7,2] => [1,2,5,4,3,7,6] => 3
[3,4,6,5,2,1,7] => [1,2,6,5,4,3,7] => 3
[3,4,6,5,2,7,1] => [1,2,5,4,3,7,6] => 3
[3,4,6,5,7,1,2] => [1,2,5,4,7,3,6] => 3
[3,4,6,5,7,2,1] => [1,2,4,3,7,6,5] => 3
[3,4,6,7,1,2,5] => [1,3,5,7,2,4,6] => 3
[3,4,6,7,1,5,2] => [1,2,4,7,3,6,5] => 3
[3,4,6,7,2,1,5] => [1,2,5,7,4,3,6] => 3
[3,4,6,7,2,5,1] => [1,2,4,7,3,6,5] => 3
[3,4,6,7,5,1,2] => [1,2,4,7,6,3,5] => 3
[3,4,6,7,5,2,1] => [1,2,3,7,6,5,4] => 3
[3,4,7,1,5,2,6] => [1,3,7,2,5,4,6] => 3
[3,4,7,1,5,6,2] => [1,3,7,2,4,6,5] => 3
[3,4,7,1,6,5,2] => [1,3,7,2,6,5,4] => 4
[3,4,7,2,5,1,6] => [1,3,7,2,5,4,6] => 3
[3,4,7,2,5,6,1] => [1,3,7,2,4,6,5] => 3
[3,4,7,2,6,5,1] => [1,3,7,2,6,5,4] => 4
[3,4,7,5,1,2,6] => [1,3,7,5,2,4,6] => 3
[3,4,7,5,1,6,2] => [1,2,7,4,3,6,5] => 3
[3,4,7,5,2,1,6] => [1,2,7,5,4,3,6] => 3
[3,4,7,5,2,6,1] => [1,2,7,4,3,6,5] => 3
[3,4,7,5,6,1,2] => [1,2,7,4,6,3,5] => 3
[3,4,7,5,6,2,1] => [1,2,7,3,6,5,4] => 3
[3,4,7,6,1,5,2] => [1,3,7,6,2,5,4] => 4
[3,4,7,6,2,5,1] => [1,3,7,6,2,5,4] => 4
[3,4,7,6,5,1,2] => [1,3,7,6,5,2,4] => 4
[3,4,7,6,5,2,1] => [1,2,7,6,5,4,3] => 4
[3,5,1,6,2,7,4] => [1,3,2,5,4,7,6] => 3
[3,5,1,6,4,2,7] => [1,3,2,6,5,4,7] => 3
[3,5,1,6,4,7,2] => [1,3,2,5,4,7,6] => 3
[3,5,1,6,7,2,4] => [1,3,2,5,7,4,6] => 3
[3,5,1,6,7,4,2] => [1,3,2,4,7,6,5] => 3
[3,5,1,7,6,4,2] => [1,3,2,7,6,5,4] => 4
[3,5,2,1,6,4,7] => [1,4,3,2,6,5,7] => 3
[3,5,2,1,6,7,4] => [1,4,3,2,5,7,6] => 3
[3,5,2,1,7,6,4] => [1,4,3,2,7,6,5] => 4
[3,5,2,6,1,4,7] => [1,4,3,6,2,5,7] => 3
[3,5,2,6,1,7,4] => [1,3,2,5,4,7,6] => 3
[3,5,2,6,4,1,7] => [1,3,2,6,5,4,7] => 3
[3,5,2,6,4,7,1] => [1,3,2,5,4,7,6] => 3
[3,5,2,6,7,1,4] => [1,3,2,5,7,4,6] => 3
[3,5,2,6,7,4,1] => [1,3,2,4,7,6,5] => 3
[3,5,2,7,1,6,4] => [1,4,3,7,2,6,5] => 4
[3,5,2,7,6,1,4] => [1,4,3,7,6,2,5] => 4
[3,5,2,7,6,4,1] => [1,3,2,7,6,5,4] => 4
[3,5,4,1,6,2,7] => [1,4,3,2,6,5,7] => 3
[3,5,4,1,6,7,2] => [1,4,3,2,5,7,6] => 3
[3,5,4,1,7,6,2] => [1,4,3,2,7,6,5] => 4
[3,5,4,2,6,1,7] => [1,4,3,2,6,5,7] => 3
[3,5,4,2,6,7,1] => [1,4,3,2,5,7,6] => 3
[3,5,4,2,7,6,1] => [1,4,3,2,7,6,5] => 4
[3,5,4,6,1,2,7] => [1,4,3,6,2,5,7] => 3
[3,5,4,6,1,7,2] => [1,3,2,5,4,7,6] => 3
[3,5,4,6,2,1,7] => [1,3,2,6,5,4,7] => 3
[3,5,4,6,2,7,1] => [1,3,2,5,4,7,6] => 3
[3,5,4,6,7,1,2] => [1,3,2,5,7,4,6] => 3
[3,5,4,6,7,2,1] => [1,3,2,4,7,6,5] => 3
[3,5,4,7,1,6,2] => [1,4,3,7,2,6,5] => 4
[3,5,4,7,2,6,1] => [1,4,3,7,2,6,5] => 4
[3,5,4,7,6,1,2] => [1,4,3,7,6,2,5] => 4
[3,5,4,7,6,2,1] => [1,3,2,7,6,5,4] => 4
[3,5,6,1,2,7,4] => [1,3,5,2,4,7,6] => 3
[3,5,6,1,4,2,7] => [1,3,6,2,5,4,7] => 3
[3,5,6,1,4,7,2] => [1,3,5,2,4,7,6] => 3
[3,5,6,1,7,2,4] => [1,3,5,2,7,4,6] => 3
[3,5,6,1,7,4,2] => [1,2,4,3,7,6,5] => 3
[3,5,6,2,1,4,7] => [1,4,6,3,2,5,7] => 3
[3,5,6,2,1,7,4] => [1,2,5,4,3,7,6] => 3
[3,5,6,2,4,1,7] => [1,3,6,2,5,4,7] => 3
[3,5,6,2,4,7,1] => [1,3,5,2,4,7,6] => 3
[3,5,6,2,7,1,4] => [1,2,5,4,7,3,6] => 3
[3,5,6,2,7,4,1] => [1,2,4,3,7,6,5] => 3
[3,5,6,4,1,2,7] => [1,3,6,5,2,4,7] => 3
[3,5,6,4,1,7,2] => [1,2,5,4,3,7,6] => 3
[3,5,6,4,2,1,7] => [1,2,6,5,4,3,7] => 3
[3,5,6,4,2,7,1] => [1,2,5,4,3,7,6] => 3
[3,5,6,4,7,1,2] => [1,2,5,4,7,3,6] => 3
[3,5,6,4,7,2,1] => [1,2,4,3,7,6,5] => 3
[3,5,6,7,1,2,4] => [1,3,5,7,2,4,6] => 3
[3,5,6,7,1,4,2] => [1,2,4,7,3,6,5] => 3
[3,5,6,7,2,1,4] => [1,2,5,7,4,3,6] => 3
[3,5,6,7,2,4,1] => [1,2,4,7,3,6,5] => 3
[3,5,6,7,4,1,2] => [1,2,4,7,6,3,5] => 3
[3,5,6,7,4,2,1] => [1,2,3,7,6,5,4] => 3
[3,5,7,1,6,4,2] => [1,3,7,2,6,5,4] => 4
[3,5,7,2,6,4,1] => [1,3,7,2,6,5,4] => 4
[3,5,7,4,6,2,1] => [1,3,7,2,6,5,4] => 4
[3,5,7,6,1,4,2] => [1,3,7,6,2,5,4] => 4
[3,5,7,6,2,4,1] => [1,3,7,6,2,5,4] => 4
[3,5,7,6,4,1,2] => [1,3,7,6,5,2,4] => 4
[3,5,7,6,4,2,1] => [1,2,7,6,5,4,3] => 4
[3,6,1,7,5,4,2] => [1,3,2,7,6,5,4] => 4
[3,6,2,1,7,5,4] => [1,4,3,2,7,6,5] => 4
[3,6,2,7,1,5,4] => [1,4,3,7,2,6,5] => 4
[3,6,2,7,5,1,4] => [1,4,3,7,6,2,5] => 4
[3,6,2,7,5,4,1] => [1,3,2,7,6,5,4] => 4
[3,6,4,1,7,5,2] => [1,4,3,2,7,6,5] => 4
[3,6,4,2,7,5,1] => [1,4,3,2,7,6,5] => 4
[3,6,4,5,7,2,1] => [1,4,2,3,7,6,5] => 3
[3,6,4,7,1,5,2] => [1,4,3,7,2,6,5] => 4
[3,6,4,7,2,5,1] => [1,4,3,7,2,6,5] => 4
[3,6,4,7,5,1,2] => [1,4,3,7,6,2,5] => 4
[3,6,4,7,5,2,1] => [1,3,2,7,6,5,4] => 4
[3,6,5,1,7,4,2] => [1,4,3,2,7,6,5] => 4
[3,6,5,2,7,4,1] => [1,4,3,2,7,6,5] => 4
[3,6,5,4,7,2,1] => [1,4,3,2,7,6,5] => 4
[3,6,5,7,1,4,2] => [1,4,3,7,2,6,5] => 4
[3,6,5,7,2,4,1] => [1,4,3,7,2,6,5] => 4
[3,6,5,7,4,1,2] => [1,4,3,7,6,2,5] => 4
[3,6,5,7,4,2,1] => [1,3,2,7,6,5,4] => 4
[3,6,7,1,5,4,2] => [1,3,7,2,6,5,4] => 4
[3,6,7,2,5,4,1] => [1,3,7,2,6,5,4] => 4
[3,6,7,4,5,2,1] => [1,3,7,2,6,5,4] => 4
[3,6,7,5,1,4,2] => [1,3,7,6,2,5,4] => 4
[3,6,7,5,2,4,1] => [1,3,7,6,2,5,4] => 4
[3,6,7,5,4,1,2] => [1,3,7,6,5,2,4] => 4
[3,6,7,5,4,2,1] => [1,2,7,6,5,4,3] => 4
[4,5,1,6,2,7,3] => [1,3,2,5,4,7,6] => 3
[4,5,1,6,3,2,7] => [1,3,2,6,5,4,7] => 3
[4,5,1,6,3,7,2] => [1,3,2,5,4,7,6] => 3
[4,5,1,6,7,2,3] => [1,3,2,5,7,4,6] => 3
[4,5,1,6,7,3,2] => [1,3,2,4,7,6,5] => 3
[4,5,1,7,6,3,2] => [1,3,2,7,6,5,4] => 4
[4,5,2,1,6,3,7] => [1,4,3,2,6,5,7] => 3
[4,5,2,1,6,7,3] => [1,4,3,2,5,7,6] => 3
[4,5,2,1,7,6,3] => [1,4,3,2,7,6,5] => 4
[4,5,2,6,1,3,7] => [1,4,3,6,2,5,7] => 3
[4,5,2,6,1,7,3] => [1,3,2,5,4,7,6] => 3
[4,5,2,6,3,1,7] => [1,3,2,6,5,4,7] => 3
[4,5,2,6,3,7,1] => [1,3,2,5,4,7,6] => 3
[4,5,2,6,7,1,3] => [1,3,2,5,7,4,6] => 3
[4,5,2,6,7,3,1] => [1,3,2,4,7,6,5] => 3
[4,5,2,7,1,6,3] => [1,4,3,7,2,6,5] => 4
[4,5,2,7,6,1,3] => [1,4,3,7,6,2,5] => 4
[4,5,2,7,6,3,1] => [1,3,2,7,6,5,4] => 4
[4,5,3,1,6,2,7] => [1,4,3,2,6,5,7] => 3
[4,5,3,1,6,7,2] => [1,4,3,2,5,7,6] => 3
[4,5,3,1,7,6,2] => [1,4,3,2,7,6,5] => 4
[4,5,3,2,6,1,7] => [1,4,3,2,6,5,7] => 3
[4,5,3,2,6,7,1] => [1,4,3,2,5,7,6] => 3
[4,5,3,2,7,6,1] => [1,4,3,2,7,6,5] => 4
[4,5,3,6,1,2,7] => [1,4,3,6,2,5,7] => 3
[4,5,3,6,1,7,2] => [1,3,2,5,4,7,6] => 3
[4,5,3,6,2,1,7] => [1,3,2,6,5,4,7] => 3
[4,5,3,6,2,7,1] => [1,3,2,5,4,7,6] => 3
[4,5,3,6,7,1,2] => [1,3,2,5,7,4,6] => 3
[4,5,3,6,7,2,1] => [1,3,2,4,7,6,5] => 3
[4,5,3,7,1,6,2] => [1,4,3,7,2,6,5] => 4
[4,5,3,7,2,6,1] => [1,4,3,7,2,6,5] => 4
[4,5,3,7,6,1,2] => [1,4,3,7,6,2,5] => 4
[4,5,3,7,6,2,1] => [1,3,2,7,6,5,4] => 4
[4,5,6,1,2,7,3] => [1,3,5,2,4,7,6] => 3
[4,5,6,1,3,2,7] => [1,3,6,2,5,4,7] => 3
[4,5,6,1,3,7,2] => [1,3,5,2,4,7,6] => 3
[4,5,6,1,7,2,3] => [1,3,5,2,7,4,6] => 3
[4,5,6,1,7,3,2] => [1,2,4,3,7,6,5] => 3
[4,5,6,2,1,3,7] => [1,4,6,3,2,5,7] => 3
[4,5,6,2,1,7,3] => [1,2,5,4,3,7,6] => 3
[4,5,6,2,3,1,7] => [1,3,6,2,5,4,7] => 3
[4,5,6,2,3,7,1] => [1,3,5,2,4,7,6] => 3
[4,5,6,2,7,1,3] => [1,2,5,4,7,3,6] => 3
[4,5,6,2,7,3,1] => [1,2,4,3,7,6,5] => 3
[4,5,6,3,1,2,7] => [1,3,6,5,2,4,7] => 3
[4,5,6,3,1,7,2] => [1,2,5,4,3,7,6] => 3
[4,5,6,3,2,1,7] => [1,2,6,5,4,3,7] => 3
[4,5,6,3,2,7,1] => [1,2,5,4,3,7,6] => 3
[4,5,6,3,7,1,2] => [1,2,5,4,7,3,6] => 3
[4,5,6,3,7,2,1] => [1,2,4,3,7,6,5] => 3
[4,5,6,7,1,2,3] => [1,3,5,7,2,4,6] => 3
[4,5,6,7,1,3,2] => [1,2,4,7,3,6,5] => 3
[4,5,6,7,2,1,3] => [1,2,5,7,4,3,6] => 3
[4,5,6,7,2,3,1] => [1,2,4,7,3,6,5] => 3
[4,5,6,7,3,1,2] => [1,2,4,7,6,3,5] => 3
[4,5,6,7,3,2,1] => [1,2,3,7,6,5,4] => 3
[4,5,7,1,6,3,2] => [1,3,7,2,6,5,4] => 4
[4,5,7,2,6,3,1] => [1,3,7,2,6,5,4] => 4
[4,5,7,3,6,2,1] => [1,3,7,2,6,5,4] => 4
[4,5,7,6,1,3,2] => [1,3,7,6,2,5,4] => 4
[4,5,7,6,2,3,1] => [1,3,7,6,2,5,4] => 4
[4,5,7,6,3,1,2] => [1,3,7,6,5,2,4] => 4
[4,5,7,6,3,2,1] => [1,2,7,6,5,4,3] => 4
[4,6,1,7,5,3,2] => [1,3,2,7,6,5,4] => 4
[4,6,2,1,7,5,3] => [1,4,3,2,7,6,5] => 4
[4,6,2,7,1,5,3] => [1,4,3,7,2,6,5] => 4
[4,6,2,7,5,1,3] => [1,4,3,7,6,2,5] => 4
[4,6,2,7,5,3,1] => [1,3,2,7,6,5,4] => 4
[4,6,3,1,7,5,2] => [1,4,3,2,7,6,5] => 4
[4,6,3,2,7,5,1] => [1,4,3,2,7,6,5] => 4
[4,6,3,7,1,5,2] => [1,4,3,7,2,6,5] => 4
[4,6,3,7,2,5,1] => [1,4,3,7,2,6,5] => 4
[4,6,3,7,5,1,2] => [1,4,3,7,6,2,5] => 4
[4,6,3,7,5,2,1] => [1,3,2,7,6,5,4] => 4
[4,6,5,1,7,3,2] => [1,4,3,2,7,6,5] => 4
[4,6,5,2,7,3,1] => [1,4,3,2,7,6,5] => 4
[4,6,5,3,7,2,1] => [1,4,3,2,7,6,5] => 4
[4,6,5,7,1,3,2] => [1,4,3,7,2,6,5] => 4
[4,6,5,7,2,3,1] => [1,4,3,7,2,6,5] => 4
[4,6,5,7,3,1,2] => [1,4,3,7,6,2,5] => 4
[4,6,5,7,3,2,1] => [1,3,2,7,6,5,4] => 4
[4,6,7,1,5,3,2] => [1,3,7,2,6,5,4] => 4
[4,6,7,2,5,3,1] => [1,3,7,2,6,5,4] => 4
[4,6,7,3,5,2,1] => [1,3,7,2,6,5,4] => 4
[4,6,7,5,1,3,2] => [1,3,7,6,2,5,4] => 4
[4,6,7,5,2,3,1] => [1,3,7,6,2,5,4] => 4
[4,6,7,5,3,1,2] => [1,3,7,6,5,2,4] => 4
[4,6,7,5,3,2,1] => [1,2,7,6,5,4,3] => 4
[5,6,1,7,4,3,2] => [1,3,2,7,6,5,4] => 4
[5,6,2,1,7,4,3] => [1,4,3,2,7,6,5] => 4
[5,6,2,7,1,4,3] => [1,4,3,7,2,6,5] => 4
[5,6,2,7,4,1,3] => [1,4,3,7,6,2,5] => 4
[5,6,2,7,4,3,1] => [1,3,2,7,6,5,4] => 4
[5,6,3,1,7,4,2] => [1,4,3,2,7,6,5] => 4
[5,6,3,2,7,4,1] => [1,4,3,2,7,6,5] => 4
[5,6,3,7,1,4,2] => [1,4,3,7,2,6,5] => 4
[5,6,3,7,2,4,1] => [1,4,3,7,2,6,5] => 4
[5,6,3,7,4,1,2] => [1,4,3,7,6,2,5] => 4
[5,6,3,7,4,2,1] => [1,3,2,7,6,5,4] => 4
[5,6,4,1,7,3,2] => [1,4,3,2,7,6,5] => 4
[5,6,4,2,7,3,1] => [1,4,3,2,7,6,5] => 4
[5,6,4,3,7,2,1] => [1,4,3,2,7,6,5] => 4
[5,6,4,7,1,3,2] => [1,4,3,7,2,6,5] => 4
[5,6,4,7,2,3,1] => [1,4,3,7,2,6,5] => 4
[5,6,4,7,3,1,2] => [1,4,3,7,6,2,5] => 4
[5,6,4,7,3,2,1] => [1,3,2,7,6,5,4] => 4
[5,6,7,1,4,3,2] => [1,3,7,2,6,5,4] => 4
[5,6,7,2,4,3,1] => [1,3,7,2,6,5,4] => 4
[5,6,7,3,4,2,1] => [1,3,7,2,6,5,4] => 4
[5,6,7,4,1,3,2] => [1,3,7,6,2,5,4] => 4
[5,6,7,4,2,3,1] => [1,3,7,6,2,5,4] => 4
[5,6,7,4,3,1,2] => [1,3,7,6,5,2,4] => 4
[5,6,7,4,3,2,1] => [1,2,7,6,5,4,3] => 4
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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:
1,1 1,4,1 1,9,13,1 1,16,61,41,1 1,25,181,381,131,1
$F_{2} = 1 + q$
$F_{3} = 1 + 4\ q + q^{2}$
$F_{4} = 1 + 9\ q + 13\ q^{2} + q^{3}$
$F_{5} = 1 + 16\ q + 61\ q^{2} + 41\ q^{3} + q^{4}$
$F_{6} = 1 + 25\ q + 181\ q^{2} + 381\ q^{3} + 131\ q^{4} + q^{5}$
Description
The number of recoils of a permutation.
A recoil, or inverse descent of a permutation $\pi$ is a value $i$ such that $i+1$ appears to the left of $i$ in $\pi_1,\pi_2,\dots,\pi_n$.
In other words, this is the number of descents of the inverse permutation. It can be also be described as the number of occurrences of the mesh pattern $([2,1], {(0,1),(1,1),(2,1)})$, i.e., the middle row is shaded.
A recoil, or inverse descent of a permutation $\pi$ is a value $i$ such that $i+1$ appears to the left of $i$ in $\pi_1,\pi_2,\dots,\pi_n$.
In other words, this is the number of descents of the inverse permutation. It can be also be described as the number of occurrences of the mesh pattern $([2,1], {(0,1),(1,1),(2,1)})$, i.e., the middle row is shaded.
Map
Inverse fireworks map
Description
Sends a permutation to an inverse fireworks permutation.
A permutation $\sigma$ is inverse fireworks if its inverse avoids the vincular pattern $3-12$. The inverse fireworks map sends any permutation $\sigma$ to an inverse fireworks permutation that is below $\sigma$ in left weak order and has the same Rajchgot index St001759The Rajchgot index of a permutation..
A permutation $\sigma$ is inverse fireworks if its inverse avoids the vincular pattern $3-12$. The inverse fireworks map sends any permutation $\sigma$ to an inverse fireworks permutation that is below $\sigma$ in left weak order and has the same Rajchgot index St001759The Rajchgot index of a permutation..
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