Identifier
-
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00014: Binary trees —to 132-avoiding permutation⟶ Permutations
St000372: Permutations ⟶ ℤ
Values
[1] => [1] => [.,.] => [1] => 0
[1,2] => [1,2] => [.,[.,.]] => [2,1] => 0
[2,1] => [1,2] => [.,[.,.]] => [2,1] => 0
[1,2,3] => [1,2,3] => [.,[.,[.,.]]] => [3,2,1] => 0
[1,3,2] => [1,2,3] => [.,[.,[.,.]]] => [3,2,1] => 0
[2,1,3] => [1,2,3] => [.,[.,[.,.]]] => [3,2,1] => 0
[2,3,1] => [1,2,3] => [.,[.,[.,.]]] => [3,2,1] => 0
[3,1,2] => [1,3,2] => [.,[[.,.],.]] => [2,3,1] => 0
[3,2,1] => [1,3,2] => [.,[[.,.],.]] => [2,3,1] => 0
[1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => 0
[1,2,4,3] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => 0
[1,3,2,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => 0
[1,3,4,2] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => 0
[1,4,2,3] => [1,2,4,3] => [.,[.,[[.,.],.]]] => [3,4,2,1] => 0
[1,4,3,2] => [1,2,4,3] => [.,[.,[[.,.],.]]] => [3,4,2,1] => 0
[2,1,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => 0
[2,1,4,3] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => 0
[2,3,1,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => 0
[2,3,4,1] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => 0
[2,4,1,3] => [1,2,4,3] => [.,[.,[[.,.],.]]] => [3,4,2,1] => 0
[2,4,3,1] => [1,2,4,3] => [.,[.,[[.,.],.]]] => [3,4,2,1] => 0
[3,1,2,4] => [1,3,2,4] => [.,[[.,.],[.,.]]] => [4,2,3,1] => 0
[3,1,4,2] => [1,3,4,2] => [.,[[.,.],[.,.]]] => [4,2,3,1] => 0
[3,2,1,4] => [1,3,2,4] => [.,[[.,.],[.,.]]] => [4,2,3,1] => 0
[3,2,4,1] => [1,3,4,2] => [.,[[.,.],[.,.]]] => [4,2,3,1] => 0
[3,4,1,2] => [1,3,2,4] => [.,[[.,.],[.,.]]] => [4,2,3,1] => 0
[3,4,2,1] => [1,3,2,4] => [.,[[.,.],[.,.]]] => [4,2,3,1] => 0
[4,1,2,3] => [1,4,3,2] => [.,[[[.,.],.],.]] => [2,3,4,1] => 1
[4,1,3,2] => [1,4,2,3] => [.,[[.,[.,.]],.]] => [3,2,4,1] => 0
[4,2,1,3] => [1,4,3,2] => [.,[[[.,.],.],.]] => [2,3,4,1] => 1
[4,2,3,1] => [1,4,2,3] => [.,[[.,[.,.]],.]] => [3,2,4,1] => 0
[4,3,1,2] => [1,4,2,3] => [.,[[.,[.,.]],.]] => [3,2,4,1] => 0
[4,3,2,1] => [1,4,2,3] => [.,[[.,[.,.]],.]] => [3,2,4,1] => 0
[1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[1,2,3,5,4] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[1,2,4,3,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[1,2,4,5,3] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[1,2,5,3,4] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 0
[1,2,5,4,3] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 0
[1,3,2,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[1,3,2,5,4] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[1,3,4,2,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[1,3,4,5,2] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[1,3,5,2,4] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 0
[1,3,5,4,2] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 0
[1,4,2,3,5] => [1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 0
[1,4,2,5,3] => [1,2,4,5,3] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 0
[1,4,3,2,5] => [1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 0
[1,4,3,5,2] => [1,2,4,5,3] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 0
[1,4,5,2,3] => [1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 0
[1,4,5,3,2] => [1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 0
[1,5,2,3,4] => [1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 1
[1,5,2,4,3] => [1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 0
[1,5,3,2,4] => [1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 1
[1,5,3,4,2] => [1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 0
[1,5,4,2,3] => [1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 0
[1,5,4,3,2] => [1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 0
[2,1,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[2,1,3,5,4] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[2,1,4,3,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[2,1,4,5,3] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[2,1,5,3,4] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 0
[2,1,5,4,3] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 0
[2,3,1,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[2,3,1,5,4] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[2,3,4,1,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[2,3,4,5,1] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[2,3,5,1,4] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 0
[2,3,5,4,1] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 0
[2,4,1,3,5] => [1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 0
[2,4,1,5,3] => [1,2,4,5,3] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 0
[2,4,3,1,5] => [1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 0
[2,4,3,5,1] => [1,2,4,5,3] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 0
[2,4,5,1,3] => [1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 0
[2,4,5,3,1] => [1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 0
[2,5,1,3,4] => [1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 1
[2,5,1,4,3] => [1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 0
[2,5,3,1,4] => [1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 1
[2,5,3,4,1] => [1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 0
[2,5,4,1,3] => [1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 0
[2,5,4,3,1] => [1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 0
[3,1,2,4,5] => [1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 0
[3,1,2,5,4] => [1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 0
[3,1,4,2,5] => [1,3,4,2,5] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 0
[3,1,4,5,2] => [1,3,4,5,2] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 0
[3,1,5,2,4] => [1,3,5,4,2] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 0
[3,1,5,4,2] => [1,3,5,2,4] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 0
[3,2,1,4,5] => [1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 0
[3,2,1,5,4] => [1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 0
[3,2,4,1,5] => [1,3,4,2,5] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 0
[3,2,4,5,1] => [1,3,4,5,2] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 0
[3,2,5,1,4] => [1,3,5,4,2] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 0
[3,2,5,4,1] => [1,3,5,2,4] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 0
[3,4,1,2,5] => [1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 0
[3,4,1,5,2] => [1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 0
[3,4,2,1,5] => [1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 0
[3,4,2,5,1] => [1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 0
[3,4,5,1,2] => [1,3,5,2,4] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 0
[3,4,5,2,1] => [1,3,5,2,4] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 0
[3,5,1,2,4] => [1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 0
[3,5,1,4,2] => [1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 0
>>> Load all 873 entries. <<<[3,5,2,1,4] => [1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 0
[3,5,2,4,1] => [1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 0
[3,5,4,1,2] => [1,3,4,2,5] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 0
[3,5,4,2,1] => [1,3,4,2,5] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 0
[4,1,2,3,5] => [1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[4,1,2,5,3] => [1,4,5,3,2] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[4,1,3,2,5] => [1,4,2,3,5] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[4,1,3,5,2] => [1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[4,1,5,2,3] => [1,4,2,3,5] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[4,1,5,3,2] => [1,4,3,5,2] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[4,2,1,3,5] => [1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[4,2,1,5,3] => [1,4,5,3,2] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[4,2,3,1,5] => [1,4,2,3,5] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[4,2,3,5,1] => [1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[4,2,5,1,3] => [1,4,2,3,5] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[4,2,5,3,1] => [1,4,3,5,2] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[4,3,1,2,5] => [1,4,2,3,5] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[4,3,1,5,2] => [1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[4,3,2,1,5] => [1,4,2,3,5] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[4,3,2,5,1] => [1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[4,3,5,1,2] => [1,4,2,3,5] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[4,3,5,2,1] => [1,4,2,3,5] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[4,5,1,2,3] => [1,4,2,5,3] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[4,5,1,3,2] => [1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[4,5,2,1,3] => [1,4,2,5,3] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[4,5,2,3,1] => [1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[4,5,3,1,2] => [1,4,2,5,3] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[4,5,3,2,1] => [1,4,2,5,3] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 0
[5,1,2,3,4] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 2
[5,1,2,4,3] => [1,5,3,2,4] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[5,1,3,2,4] => [1,5,4,2,3] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 1
[5,1,3,4,2] => [1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 0
[5,1,4,2,3] => [1,5,3,4,2] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[5,1,4,3,2] => [1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 0
[5,2,1,3,4] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 2
[5,2,1,4,3] => [1,5,3,2,4] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[5,2,3,1,4] => [1,5,4,2,3] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 1
[5,2,3,4,1] => [1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 0
[5,2,4,1,3] => [1,5,3,4,2] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[5,2,4,3,1] => [1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 0
[5,3,1,2,4] => [1,5,4,2,3] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 1
[5,3,1,4,2] => [1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 0
[5,3,2,1,4] => [1,5,4,2,3] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 1
[5,3,2,4,1] => [1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 0
[5,3,4,1,2] => [1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 0
[5,3,4,2,1] => [1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 0
[5,4,1,2,3] => [1,5,3,2,4] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[5,4,1,3,2] => [1,5,2,4,3] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 1
[5,4,2,1,3] => [1,5,3,2,4] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[5,4,2,3,1] => [1,5,2,4,3] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 1
[5,4,3,1,2] => [1,5,2,4,3] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 1
[5,4,3,2,1] => [1,5,2,4,3] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 1
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,2,3,4,6,5] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,2,3,5,4,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,2,3,5,6,4] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,2,3,6,4,5] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[1,2,3,6,5,4] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[1,2,4,3,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,2,4,3,6,5] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,2,4,5,3,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,2,4,5,6,3] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,2,4,6,3,5] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[1,2,4,6,5,3] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[1,2,5,3,4,6] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[1,2,5,3,6,4] => [1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[1,2,5,4,3,6] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[1,2,5,4,6,3] => [1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[1,2,5,6,3,4] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[1,2,5,6,4,3] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[1,2,6,3,4,5] => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 1
[1,2,6,3,5,4] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[1,2,6,4,3,5] => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 1
[1,2,6,4,5,3] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[1,2,6,5,3,4] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[1,2,6,5,4,3] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[1,3,2,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,3,2,4,6,5] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,3,2,5,4,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,3,2,5,6,4] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,3,2,6,4,5] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[1,3,2,6,5,4] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[1,3,4,2,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,3,4,2,6,5] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,3,4,5,2,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,3,4,5,6,2] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[1,3,4,6,2,5] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[1,3,4,6,5,2] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[1,3,5,2,4,6] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[1,3,5,2,6,4] => [1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[1,3,5,4,2,6] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[1,3,5,4,6,2] => [1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[1,3,5,6,2,4] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[1,3,5,6,4,2] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[1,3,6,2,4,5] => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 1
[1,3,6,2,5,4] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[1,3,6,4,2,5] => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 1
[1,3,6,4,5,2] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[1,3,6,5,2,4] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[1,3,6,5,4,2] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[1,4,2,3,5,6] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[1,4,2,3,6,5] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[1,4,2,5,3,6] => [1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[1,4,2,5,6,3] => [1,2,4,5,6,3] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[1,4,2,6,3,5] => [1,2,4,6,5,3] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[1,4,2,6,5,3] => [1,2,4,6,3,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[1,4,3,2,5,6] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[1,4,3,2,6,5] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[1,4,3,5,2,6] => [1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[1,4,3,5,6,2] => [1,2,4,5,6,3] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[1,4,3,6,2,5] => [1,2,4,6,5,3] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[1,4,3,6,5,2] => [1,2,4,6,3,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[1,4,5,2,3,6] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[1,4,5,2,6,3] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[1,4,5,3,2,6] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[1,4,5,3,6,2] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[1,4,5,6,2,3] => [1,2,4,6,3,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[1,4,5,6,3,2] => [1,2,4,6,3,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[1,4,6,2,3,5] => [1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[1,4,6,2,5,3] => [1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[1,4,6,3,2,5] => [1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[1,4,6,3,5,2] => [1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[1,4,6,5,2,3] => [1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[1,4,6,5,3,2] => [1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[1,5,2,3,4,6] => [1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[1,5,2,3,6,4] => [1,2,5,6,4,3] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[1,5,2,4,3,6] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,5,2,4,6,3] => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,5,2,6,3,4] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,5,2,6,4,3] => [1,2,5,4,6,3] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[1,5,3,2,4,6] => [1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[1,5,3,2,6,4] => [1,2,5,6,4,3] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[1,5,3,4,2,6] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,5,3,4,6,2] => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,5,3,6,2,4] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,5,3,6,4,2] => [1,2,5,4,6,3] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[1,5,4,2,3,6] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,5,4,2,6,3] => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,5,4,3,2,6] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,5,4,3,6,2] => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,5,4,6,2,3] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,5,4,6,3,2] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,5,6,2,3,4] => [1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,5,6,2,4,3] => [1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[1,5,6,3,2,4] => [1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,5,6,3,4,2] => [1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[1,5,6,4,2,3] => [1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,5,6,4,3,2] => [1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[1,6,2,3,4,5] => [1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => 2
[1,6,2,3,5,4] => [1,2,6,4,3,5] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 1
[1,6,2,4,3,5] => [1,2,6,5,3,4] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 1
[1,6,2,4,5,3] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[1,6,2,5,3,4] => [1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 1
[1,6,2,5,4,3] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[1,6,3,2,4,5] => [1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => 2
[1,6,3,2,5,4] => [1,2,6,4,3,5] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 1
[1,6,3,4,2,5] => [1,2,6,5,3,4] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 1
[1,6,3,4,5,2] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[1,6,3,5,2,4] => [1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 1
[1,6,3,5,4,2] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[1,6,4,2,3,5] => [1,2,6,5,3,4] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 1
[1,6,4,2,5,3] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[1,6,4,3,2,5] => [1,2,6,5,3,4] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 1
[1,6,4,3,5,2] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[1,6,4,5,2,3] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[1,6,4,5,3,2] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[1,6,5,2,3,4] => [1,2,6,4,3,5] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 1
[1,6,5,2,4,3] => [1,2,6,3,5,4] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 1
[1,6,5,3,2,4] => [1,2,6,4,3,5] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 1
[1,6,5,3,4,2] => [1,2,6,3,5,4] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 1
[1,6,5,4,2,3] => [1,2,6,3,5,4] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 1
[1,6,5,4,3,2] => [1,2,6,3,5,4] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 1
[2,1,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,1,3,4,6,5] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,1,3,5,4,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,1,3,5,6,4] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,1,3,6,4,5] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[2,1,3,6,5,4] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[2,1,4,3,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,1,4,3,6,5] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,1,4,5,3,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,1,4,5,6,3] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,1,4,6,3,5] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[2,1,4,6,5,3] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[2,1,5,3,4,6] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[2,1,5,3,6,4] => [1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[2,1,5,4,3,6] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[2,1,5,4,6,3] => [1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[2,1,5,6,3,4] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[2,1,5,6,4,3] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[2,1,6,3,4,5] => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 1
[2,1,6,3,5,4] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[2,1,6,4,3,5] => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 1
[2,1,6,4,5,3] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[2,1,6,5,3,4] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[2,1,6,5,4,3] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[2,3,1,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,3,1,4,6,5] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,3,1,5,4,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,3,1,5,6,4] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,3,1,6,4,5] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[2,3,1,6,5,4] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[2,3,4,1,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,3,4,1,6,5] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,3,4,5,1,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,3,4,5,6,1] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[2,3,4,6,1,5] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[2,3,4,6,5,1] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[2,3,5,1,4,6] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[2,3,5,1,6,4] => [1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[2,3,5,4,1,6] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[2,3,5,4,6,1] => [1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[2,3,5,6,1,4] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[2,3,5,6,4,1] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 0
[2,3,6,1,4,5] => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 1
[2,3,6,1,5,4] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[2,3,6,4,1,5] => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 1
[2,3,6,4,5,1] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[2,3,6,5,1,4] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[2,3,6,5,4,1] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[2,4,1,3,5,6] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[2,4,1,3,6,5] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[2,4,1,5,3,6] => [1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[2,4,1,5,6,3] => [1,2,4,5,6,3] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[2,4,1,6,3,5] => [1,2,4,6,5,3] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[2,4,1,6,5,3] => [1,2,4,6,3,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[2,4,3,1,5,6] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[2,4,3,1,6,5] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[2,4,3,5,1,6] => [1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[2,4,3,5,6,1] => [1,2,4,5,6,3] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[2,4,3,6,1,5] => [1,2,4,6,5,3] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[2,4,3,6,5,1] => [1,2,4,6,3,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[2,4,5,1,3,6] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[2,4,5,1,6,3] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[2,4,5,3,1,6] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[2,4,5,3,6,1] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[2,4,5,6,1,3] => [1,2,4,6,3,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[2,4,5,6,3,1] => [1,2,4,6,3,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[2,4,6,1,3,5] => [1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[2,4,6,1,5,3] => [1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[2,4,6,3,1,5] => [1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[2,4,6,3,5,1] => [1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 0
[2,4,6,5,1,3] => [1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[2,4,6,5,3,1] => [1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 0
[2,5,1,3,4,6] => [1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[2,5,1,3,6,4] => [1,2,5,6,4,3] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[2,5,1,4,3,6] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,5,1,4,6,3] => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,5,1,6,3,4] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,5,1,6,4,3] => [1,2,5,4,6,3] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[2,5,3,1,4,6] => [1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[2,5,3,1,6,4] => [1,2,5,6,4,3] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[2,5,3,4,1,6] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,5,3,4,6,1] => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,5,3,6,1,4] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,5,3,6,4,1] => [1,2,5,4,6,3] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[2,5,4,1,3,6] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,5,4,1,6,3] => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,5,4,3,1,6] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,5,4,3,6,1] => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,5,4,6,1,3] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,5,4,6,3,1] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,5,6,1,3,4] => [1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,5,6,1,4,3] => [1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[2,5,6,3,1,4] => [1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,5,6,3,4,1] => [1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[2,5,6,4,1,3] => [1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,5,6,4,3,1] => [1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 0
[2,6,1,3,4,5] => [1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => 2
[2,6,1,3,5,4] => [1,2,6,4,3,5] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 1
[2,6,1,4,3,5] => [1,2,6,5,3,4] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 1
[2,6,1,4,5,3] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[2,6,1,5,3,4] => [1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 1
[2,6,1,5,4,3] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[2,6,3,1,4,5] => [1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => 2
[2,6,3,1,5,4] => [1,2,6,4,3,5] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 1
[2,6,3,4,1,5] => [1,2,6,5,3,4] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 1
[2,6,3,4,5,1] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[2,6,3,5,1,4] => [1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 1
[2,6,3,5,4,1] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[2,6,4,1,3,5] => [1,2,6,5,3,4] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 1
[2,6,4,1,5,3] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[2,6,4,3,1,5] => [1,2,6,5,3,4] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 1
[2,6,4,3,5,1] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[2,6,4,5,1,3] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[2,6,4,5,3,1] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[2,6,5,1,3,4] => [1,2,6,4,3,5] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 1
[2,6,5,1,4,3] => [1,2,6,3,5,4] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 1
[2,6,5,3,1,4] => [1,2,6,4,3,5] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 1
[2,6,5,3,4,1] => [1,2,6,3,5,4] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 1
[2,6,5,4,1,3] => [1,2,6,3,5,4] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 1
[2,6,5,4,3,1] => [1,2,6,3,5,4] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 1
[3,1,2,4,5,6] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,1,2,4,6,5] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,1,2,5,4,6] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,1,2,5,6,4] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,1,2,6,4,5] => [1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,1,2,6,5,4] => [1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,1,4,2,5,6] => [1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,1,4,2,6,5] => [1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,1,4,5,2,6] => [1,3,4,5,2,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,1,4,5,6,2] => [1,3,4,5,6,2] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,1,4,6,2,5] => [1,3,4,6,5,2] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,1,4,6,5,2] => [1,3,4,6,2,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,1,5,2,4,6] => [1,3,5,4,2,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,1,5,2,6,4] => [1,3,5,6,4,2] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,1,5,4,2,6] => [1,3,5,2,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,1,5,4,6,2] => [1,3,5,6,2,4] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,1,5,6,2,4] => [1,3,5,2,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,1,5,6,4,2] => [1,3,5,4,6,2] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,1,6,2,4,5] => [1,3,6,5,4,2] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 1
[3,1,6,2,5,4] => [1,3,6,4,2,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,1,6,4,2,5] => [1,3,6,5,2,4] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 1
[3,1,6,4,5,2] => [1,3,6,2,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,1,6,5,2,4] => [1,3,6,4,5,2] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,1,6,5,4,2] => [1,3,6,2,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,2,1,4,5,6] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,2,1,4,6,5] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,2,1,5,4,6] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,2,1,5,6,4] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,2,1,6,4,5] => [1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,2,1,6,5,4] => [1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,2,4,1,5,6] => [1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,2,4,1,6,5] => [1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,2,4,5,1,6] => [1,3,4,5,2,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,2,4,5,6,1] => [1,3,4,5,6,2] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,2,4,6,1,5] => [1,3,4,6,5,2] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,2,4,6,5,1] => [1,3,4,6,2,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,2,5,1,4,6] => [1,3,5,4,2,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,2,5,1,6,4] => [1,3,5,6,4,2] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,2,5,4,1,6] => [1,3,5,2,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,2,5,4,6,1] => [1,3,5,6,2,4] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,2,5,6,1,4] => [1,3,5,2,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,2,5,6,4,1] => [1,3,5,4,6,2] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,2,6,1,4,5] => [1,3,6,5,4,2] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 1
[3,2,6,1,5,4] => [1,3,6,4,2,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,2,6,4,1,5] => [1,3,6,5,2,4] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 1
[3,2,6,4,5,1] => [1,3,6,2,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,2,6,5,1,4] => [1,3,6,4,5,2] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,2,6,5,4,1] => [1,3,6,2,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,4,1,2,5,6] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,4,1,2,6,5] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,4,1,5,2,6] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,4,1,5,6,2] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,4,1,6,2,5] => [1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,4,1,6,5,2] => [1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,4,2,1,5,6] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,4,2,1,6,5] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,4,2,5,1,6] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,4,2,5,6,1] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,4,2,6,1,5] => [1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,4,2,6,5,1] => [1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,4,5,1,2,6] => [1,3,5,2,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,4,5,1,6,2] => [1,3,5,6,2,4] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,4,5,2,1,6] => [1,3,5,2,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,4,5,2,6,1] => [1,3,5,6,2,4] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,4,5,6,1,2] => [1,3,5,2,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,4,5,6,2,1] => [1,3,5,2,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,4,6,1,2,5] => [1,3,6,5,2,4] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 1
[3,4,6,1,5,2] => [1,3,6,2,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,4,6,2,1,5] => [1,3,6,5,2,4] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 1
[3,4,6,2,5,1] => [1,3,6,2,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,4,6,5,1,2] => [1,3,6,2,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,4,6,5,2,1] => [1,3,6,2,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,5,1,2,4,6] => [1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,5,1,2,6,4] => [1,3,2,5,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,5,1,4,2,6] => [1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,5,1,4,6,2] => [1,3,2,5,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,5,1,6,2,4] => [1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,5,1,6,4,2] => [1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,5,2,1,4,6] => [1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,5,2,1,6,4] => [1,3,2,5,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,5,2,4,1,6] => [1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,5,2,4,6,1] => [1,3,2,5,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,5,2,6,1,4] => [1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,5,2,6,4,1] => [1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,5,4,1,2,6] => [1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,5,4,1,6,2] => [1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,5,4,2,1,6] => [1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,5,4,2,6,1] => [1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,5,4,6,1,2] => [1,3,4,6,2,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,5,4,6,2,1] => [1,3,4,6,2,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,5,6,1,2,4] => [1,3,6,4,2,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,5,6,1,4,2] => [1,3,6,2,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 1
[3,5,6,2,1,4] => [1,3,6,4,2,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,5,6,2,4,1] => [1,3,6,2,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 1
[3,5,6,4,1,2] => [1,3,6,2,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 1
[3,5,6,4,2,1] => [1,3,6,2,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 1
[3,6,1,2,4,5] => [1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 1
[3,6,1,2,5,4] => [1,3,2,6,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,6,1,4,2,5] => [1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 1
[3,6,1,4,5,2] => [1,3,2,6,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,6,1,5,2,4] => [1,3,2,6,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,6,1,5,4,2] => [1,3,2,6,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,6,2,1,4,5] => [1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 1
[3,6,2,1,5,4] => [1,3,2,6,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,6,2,4,1,5] => [1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 1
[3,6,2,4,5,1] => [1,3,2,6,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,6,2,5,1,4] => [1,3,2,6,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,6,2,5,4,1] => [1,3,2,6,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 0
[3,6,4,1,2,5] => [1,3,4,2,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,6,4,1,5,2] => [1,3,4,2,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,6,4,2,1,5] => [1,3,4,2,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,6,4,2,5,1] => [1,3,4,2,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 0
[3,6,4,5,1,2] => [1,3,4,5,2,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,6,4,5,2,1] => [1,3,4,5,2,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 0
[3,6,5,1,2,4] => [1,3,5,2,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,6,5,1,4,2] => [1,3,5,4,2,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,6,5,2,1,4] => [1,3,5,2,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,6,5,2,4,1] => [1,3,5,4,2,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,6,5,4,1,2] => [1,3,5,2,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[3,6,5,4,2,1] => [1,3,5,2,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 0
[4,1,2,3,5,6] => [1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,1,2,3,6,5] => [1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,1,2,5,3,6] => [1,4,5,3,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,1,2,5,6,3] => [1,4,5,6,3,2] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,1,2,6,3,5] => [1,4,6,5,3,2] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,1,2,6,5,3] => [1,4,6,3,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,1,3,2,5,6] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,1,3,2,6,5] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,1,3,5,2,6] => [1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,1,3,5,6,2] => [1,4,5,6,2,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,1,3,6,2,5] => [1,4,6,5,2,3] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,1,3,6,5,2] => [1,4,6,2,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,1,5,2,3,6] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,1,5,2,6,3] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,1,5,3,2,6] => [1,4,3,5,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,1,5,3,6,2] => [1,4,3,5,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,1,5,6,2,3] => [1,4,6,3,5,2] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,1,5,6,3,2] => [1,4,6,2,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,1,6,2,3,5] => [1,4,2,3,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,1,6,2,5,3] => [1,4,2,3,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,1,6,3,2,5] => [1,4,3,6,5,2] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,1,6,3,5,2] => [1,4,3,6,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,1,6,5,2,3] => [1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,1,6,5,3,2] => [1,4,5,3,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,2,1,3,5,6] => [1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,2,1,3,6,5] => [1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,2,1,5,3,6] => [1,4,5,3,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,2,1,5,6,3] => [1,4,5,6,3,2] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,2,1,6,3,5] => [1,4,6,5,3,2] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,2,1,6,5,3] => [1,4,6,3,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,2,3,1,5,6] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,2,3,1,6,5] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,2,3,5,1,6] => [1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,2,3,5,6,1] => [1,4,5,6,2,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,2,3,6,1,5] => [1,4,6,5,2,3] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,2,3,6,5,1] => [1,4,6,2,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,2,5,1,3,6] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,2,5,1,6,3] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,2,5,3,1,6] => [1,4,3,5,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,2,5,3,6,1] => [1,4,3,5,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,2,5,6,1,3] => [1,4,6,3,5,2] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,2,5,6,3,1] => [1,4,6,2,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,2,6,1,3,5] => [1,4,2,3,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,2,6,1,5,3] => [1,4,2,3,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,2,6,3,1,5] => [1,4,3,6,5,2] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,2,6,3,5,1] => [1,4,3,6,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,2,6,5,1,3] => [1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,2,6,5,3,1] => [1,4,5,3,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,3,1,2,5,6] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,3,1,2,6,5] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,3,1,5,2,6] => [1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,3,1,5,6,2] => [1,4,5,6,2,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,3,1,6,2,5] => [1,4,6,5,2,3] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,3,1,6,5,2] => [1,4,6,2,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,3,2,1,5,6] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,3,2,1,6,5] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,3,2,5,1,6] => [1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,3,2,5,6,1] => [1,4,5,6,2,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,3,2,6,1,5] => [1,4,6,5,2,3] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,3,2,6,5,1] => [1,4,6,2,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,3,5,1,2,6] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,3,5,1,6,2] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,3,5,2,1,6] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,3,5,2,6,1] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,3,5,6,1,2] => [1,4,6,2,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,3,5,6,2,1] => [1,4,6,2,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,3,6,1,2,5] => [1,4,2,3,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,3,6,1,5,2] => [1,4,2,3,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,3,6,2,1,5] => [1,4,2,3,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,3,6,2,5,1] => [1,4,2,3,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,3,6,5,1,2] => [1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,3,6,5,2,1] => [1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,5,1,2,3,6] => [1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,5,1,2,6,3] => [1,4,2,5,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,5,1,3,2,6] => [1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,5,1,3,6,2] => [1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,5,1,6,2,3] => [1,4,6,3,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,5,1,6,3,2] => [1,4,6,2,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,5,2,1,3,6] => [1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,5,2,1,6,3] => [1,4,2,5,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,5,2,3,1,6] => [1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,5,2,3,6,1] => [1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,5,2,6,1,3] => [1,4,6,3,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,5,2,6,3,1] => [1,4,6,2,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,5,3,1,2,6] => [1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,5,3,1,6,2] => [1,4,2,5,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,5,3,2,1,6] => [1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,5,3,2,6,1] => [1,4,2,5,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,5,3,6,1,2] => [1,4,6,2,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,5,3,6,2,1] => [1,4,6,2,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,5,6,1,2,3] => [1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,5,6,1,3,2] => [1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,5,6,2,1,3] => [1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,5,6,2,3,1] => [1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,5,6,3,1,2] => [1,4,3,6,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,5,6,3,2,1] => [1,4,3,6,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,6,1,2,3,5] => [1,4,2,6,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,6,1,2,5,3] => [1,4,2,6,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,6,1,3,2,5] => [1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,6,1,3,5,2] => [1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,6,1,5,2,3] => [1,4,5,2,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,6,1,5,3,2] => [1,4,5,3,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,6,2,1,3,5] => [1,4,2,6,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,6,2,1,5,3] => [1,4,2,6,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,6,2,3,1,5] => [1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,6,2,3,5,1] => [1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[4,6,2,5,1,3] => [1,4,5,2,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,6,2,5,3,1] => [1,4,5,3,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,6,3,1,2,5] => [1,4,2,6,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,6,3,1,5,2] => [1,4,2,6,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,6,3,2,1,5] => [1,4,2,6,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,6,3,2,5,1] => [1,4,2,6,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,6,3,5,1,2] => [1,4,5,2,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,6,3,5,2,1] => [1,4,5,2,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 0
[4,6,5,1,2,3] => [1,4,2,6,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,6,5,1,3,2] => [1,4,2,6,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,6,5,2,1,3] => [1,4,2,6,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,6,5,2,3,1] => [1,4,2,6,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 0
[4,6,5,3,1,2] => [1,4,3,5,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[4,6,5,3,2,1] => [1,4,3,5,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[5,1,2,3,4,6] => [1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => 2
[5,1,2,3,6,4] => [1,5,6,4,3,2] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => 2
[5,1,2,4,3,6] => [1,5,3,2,4,6] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,1,2,4,6,3] => [1,5,6,3,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,1,2,6,3,4] => [1,5,3,2,4,6] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,1,2,6,4,3] => [1,5,4,6,3,2] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => 2
[5,1,3,2,4,6] => [1,5,4,2,3,6] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,1,3,2,6,4] => [1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,1,3,4,2,6] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,1,3,4,6,2] => [1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,1,3,6,2,4] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,1,3,6,4,2] => [1,5,4,6,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,1,4,2,3,6] => [1,5,3,4,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,1,4,2,6,3] => [1,5,6,3,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,1,4,3,2,6] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,1,4,3,6,2] => [1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,1,4,6,2,3] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,1,4,6,3,2] => [1,5,3,4,6,2] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,1,6,2,3,4] => [1,5,3,6,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,1,6,2,4,3] => [1,5,4,2,3,6] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,1,6,3,2,4] => [1,5,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,1,6,3,4,2] => [1,5,4,3,6,2] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => 2
[5,1,6,4,2,3] => [1,5,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,1,6,4,3,2] => [1,5,3,6,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,2,1,3,4,6] => [1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => 2
[5,2,1,3,6,4] => [1,5,6,4,3,2] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => 2
[5,2,1,4,3,6] => [1,5,3,2,4,6] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,2,1,4,6,3] => [1,5,6,3,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,2,1,6,3,4] => [1,5,3,2,4,6] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,2,1,6,4,3] => [1,5,4,6,3,2] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => 2
[5,2,3,1,4,6] => [1,5,4,2,3,6] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,2,3,1,6,4] => [1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,2,3,4,1,6] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,2,3,4,6,1] => [1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,2,3,6,1,4] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,2,3,6,4,1] => [1,5,4,6,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,2,4,1,3,6] => [1,5,3,4,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,2,4,1,6,3] => [1,5,6,3,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,2,4,3,1,6] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,2,4,3,6,1] => [1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,2,4,6,1,3] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,2,4,6,3,1] => [1,5,3,4,6,2] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,2,6,1,3,4] => [1,5,3,6,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,2,6,1,4,3] => [1,5,4,2,3,6] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,2,6,3,1,4] => [1,5,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,2,6,3,4,1] => [1,5,4,3,6,2] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => 2
[5,2,6,4,1,3] => [1,5,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,2,6,4,3,1] => [1,5,3,6,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,3,1,2,4,6] => [1,5,4,2,3,6] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,3,1,2,6,4] => [1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,3,1,4,2,6] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,3,1,4,6,2] => [1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,3,1,6,2,4] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,3,1,6,4,2] => [1,5,4,6,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,3,2,1,4,6] => [1,5,4,2,3,6] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,3,2,1,6,4] => [1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,3,2,4,1,6] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,3,2,4,6,1] => [1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,3,2,6,1,4] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,3,2,6,4,1] => [1,5,4,6,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,3,4,1,2,6] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,3,4,1,6,2] => [1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,3,4,2,1,6] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,3,4,2,6,1] => [1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,3,4,6,1,2] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,3,4,6,2,1] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,3,6,1,2,4] => [1,5,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,3,6,1,4,2] => [1,5,4,2,3,6] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,3,6,2,1,4] => [1,5,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,3,6,2,4,1] => [1,5,4,2,3,6] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,3,6,4,1,2] => [1,5,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,3,6,4,2,1] => [1,5,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,4,1,2,3,6] => [1,5,3,2,4,6] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,4,1,2,6,3] => [1,5,6,3,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,4,1,3,2,6] => [1,5,2,4,3,6] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,4,1,3,6,2] => [1,5,6,2,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,4,1,6,2,3] => [1,5,2,4,6,3] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,4,1,6,3,2] => [1,5,3,2,4,6] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,4,2,1,3,6] => [1,5,3,2,4,6] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,4,2,1,6,3] => [1,5,6,3,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,4,2,3,1,6] => [1,5,2,4,3,6] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,4,2,3,6,1] => [1,5,6,2,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,4,2,6,1,3] => [1,5,2,4,6,3] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,4,2,6,3,1] => [1,5,3,2,4,6] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,4,3,1,2,6] => [1,5,2,4,3,6] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,4,3,1,6,2] => [1,5,6,2,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,4,3,2,1,6] => [1,5,2,4,3,6] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,4,3,2,6,1] => [1,5,6,2,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,4,3,6,1,2] => [1,5,2,4,6,3] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,4,3,6,2,1] => [1,5,2,4,6,3] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,4,6,1,2,3] => [1,5,2,4,3,6] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,4,6,1,3,2] => [1,5,3,6,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,4,6,2,1,3] => [1,5,2,4,3,6] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,4,6,2,3,1] => [1,5,3,6,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,4,6,3,1,2] => [1,5,2,4,3,6] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,4,6,3,2,1] => [1,5,2,4,3,6] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,6,1,2,3,4] => [1,5,3,2,6,4] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,6,1,2,4,3] => [1,5,4,2,6,3] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,6,1,3,2,4] => [1,5,2,6,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,6,1,3,4,2] => [1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => 2
[5,6,1,4,2,3] => [1,5,2,6,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,6,1,4,3,2] => [1,5,3,2,6,4] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,6,2,1,3,4] => [1,5,3,2,6,4] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,6,2,1,4,3] => [1,5,4,2,6,3] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,6,2,3,1,4] => [1,5,2,6,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,6,2,3,4,1] => [1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => 2
[5,6,2,4,1,3] => [1,5,2,6,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,6,2,4,3,1] => [1,5,3,2,6,4] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,6,3,1,2,4] => [1,5,2,6,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,6,3,1,4,2] => [1,5,4,2,6,3] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,6,3,2,1,4] => [1,5,2,6,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 1
[5,6,3,2,4,1] => [1,5,4,2,6,3] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[5,6,3,4,1,2] => [1,5,2,6,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,6,3,4,2,1] => [1,5,2,6,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,6,4,1,2,3] => [1,5,2,6,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,6,4,1,3,2] => [1,5,3,4,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,6,4,2,1,3] => [1,5,2,6,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,6,4,2,3,1] => [1,5,3,4,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[5,6,4,3,1,2] => [1,5,2,6,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[5,6,4,3,2,1] => [1,5,2,6,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 0
[6,1,2,3,4,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => 3
[6,1,2,3,5,4] => [1,6,4,3,2,5] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => 2
[6,1,2,4,3,5] => [1,6,5,3,2,4] => [.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => 2
[6,1,2,4,5,3] => [1,6,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 1
[6,1,2,5,3,4] => [1,6,4,5,3,2] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => 2
[6,1,2,5,4,3] => [1,6,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 1
[6,1,3,2,4,5] => [1,6,5,4,2,3] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 2
[6,1,3,2,5,4] => [1,6,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,1,3,4,2,5] => [1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 1
[6,1,3,4,5,2] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,1,3,5,2,4] => [1,6,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,1,3,5,4,2] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,1,4,2,3,5] => [1,6,5,3,4,2] => [.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => 2
[6,1,4,2,5,3] => [1,6,3,4,2,5] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 1
[6,1,4,3,2,5] => [1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 1
[6,1,4,3,5,2] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,1,4,5,2,3] => [1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 1
[6,1,4,5,3,2] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,1,5,2,3,4] => [1,6,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,1,5,2,4,3] => [1,6,3,5,4,2] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => 2
[6,1,5,3,2,4] => [1,6,4,3,5,2] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => 2
[6,1,5,3,4,2] => [1,6,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 1
[6,1,5,4,2,3] => [1,6,3,5,2,4] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => 2
[6,1,5,4,3,2] => [1,6,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 1
[6,2,1,3,4,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => 3
[6,2,1,3,5,4] => [1,6,4,3,2,5] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => 2
[6,2,1,4,3,5] => [1,6,5,3,2,4] => [.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => 2
[6,2,1,4,5,3] => [1,6,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 1
[6,2,1,5,3,4] => [1,6,4,5,3,2] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => 2
[6,2,1,5,4,3] => [1,6,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 1
[6,2,3,1,4,5] => [1,6,5,4,2,3] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 2
[6,2,3,1,5,4] => [1,6,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,2,3,4,1,5] => [1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 1
[6,2,3,4,5,1] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,2,3,5,1,4] => [1,6,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,2,3,5,4,1] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,2,4,1,3,5] => [1,6,5,3,4,2] => [.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => 2
[6,2,4,1,5,3] => [1,6,3,4,2,5] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 1
[6,2,4,3,1,5] => [1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 1
[6,2,4,3,5,1] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,2,4,5,1,3] => [1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 1
[6,2,4,5,3,1] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,2,5,1,3,4] => [1,6,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,2,5,1,4,3] => [1,6,3,5,4,2] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => 2
[6,2,5,3,1,4] => [1,6,4,3,5,2] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => 2
[6,2,5,3,4,1] => [1,6,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 1
[6,2,5,4,1,3] => [1,6,3,5,2,4] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => 2
[6,2,5,4,3,1] => [1,6,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 1
[6,3,1,2,4,5] => [1,6,5,4,2,3] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 2
[6,3,1,2,5,4] => [1,6,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,3,1,4,2,5] => [1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 1
[6,3,1,4,5,2] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,3,1,5,2,4] => [1,6,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,3,1,5,4,2] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,3,2,1,4,5] => [1,6,5,4,2,3] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 2
[6,3,2,1,5,4] => [1,6,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,3,2,4,1,5] => [1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 1
[6,3,2,4,5,1] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,3,2,5,1,4] => [1,6,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,3,2,5,4,1] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,3,4,1,2,5] => [1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 1
[6,3,4,1,5,2] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,3,4,2,1,5] => [1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 1
[6,3,4,2,5,1] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,3,4,5,1,2] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,3,4,5,2,1] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[6,3,5,1,2,4] => [1,6,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,3,5,1,4,2] => [1,6,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 1
[6,3,5,2,1,4] => [1,6,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,3,5,2,4,1] => [1,6,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 1
[6,3,5,4,1,2] => [1,6,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 1
[6,3,5,4,2,1] => [1,6,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 1
[6,4,1,2,3,5] => [1,6,5,3,2,4] => [.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => 2
[6,4,1,2,5,3] => [1,6,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 1
[6,4,1,3,2,5] => [1,6,5,2,4,3] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 2
[6,4,1,3,5,2] => [1,6,2,4,3,5] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 1
[6,4,1,5,2,3] => [1,6,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 1
[6,4,1,5,3,2] => [1,6,2,4,5,3] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 1
[6,4,2,1,3,5] => [1,6,5,3,2,4] => [.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => 2
[6,4,2,1,5,3] => [1,6,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 1
[6,4,2,3,1,5] => [1,6,5,2,4,3] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 2
[6,4,2,3,5,1] => [1,6,2,4,3,5] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 1
[6,4,2,5,1,3] => [1,6,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 1
[6,4,2,5,3,1] => [1,6,2,4,5,3] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 1
[6,4,3,1,2,5] => [1,6,5,2,4,3] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 2
[6,4,3,1,5,2] => [1,6,2,4,3,5] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 1
[6,4,3,2,1,5] => [1,6,5,2,4,3] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 2
[6,4,3,2,5,1] => [1,6,2,4,3,5] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 1
[6,4,3,5,1,2] => [1,6,2,4,5,3] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 1
[6,4,3,5,2,1] => [1,6,2,4,5,3] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 1
[6,4,5,1,2,3] => [1,6,3,5,2,4] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => 2
[6,4,5,1,3,2] => [1,6,2,4,3,5] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 1
[6,4,5,2,1,3] => [1,6,3,5,2,4] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => 2
[6,4,5,2,3,1] => [1,6,2,4,3,5] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 1
[6,4,5,3,1,2] => [1,6,2,4,3,5] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 1
[6,4,5,3,2,1] => [1,6,2,4,3,5] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 1
[6,5,1,2,3,4] => [1,6,4,2,5,3] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,5,1,2,4,3] => [1,6,3,2,5,4] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => 2
[6,5,1,3,2,4] => [1,6,4,3,2,5] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => 2
[6,5,1,3,4,2] => [1,6,2,5,4,3] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 2
[6,5,1,4,2,3] => [1,6,3,2,5,4] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => 2
[6,5,1,4,3,2] => [1,6,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 1
[6,5,2,1,3,4] => [1,6,4,2,5,3] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,5,2,1,4,3] => [1,6,3,2,5,4] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => 2
[6,5,2,3,1,4] => [1,6,4,3,2,5] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => 2
[6,5,2,3,4,1] => [1,6,2,5,4,3] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 2
[6,5,2,4,1,3] => [1,6,3,2,5,4] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => 2
[6,5,2,4,3,1] => [1,6,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 1
[6,5,3,1,2,4] => [1,6,4,2,5,3] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,5,3,1,4,2] => [1,6,2,5,4,3] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 2
[6,5,3,2,1,4] => [1,6,4,2,5,3] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[6,5,3,2,4,1] => [1,6,2,5,4,3] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 2
[6,5,3,4,1,2] => [1,6,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 1
[6,5,3,4,2,1] => [1,6,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 1
[6,5,4,1,2,3] => [1,6,3,4,2,5] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 1
[6,5,4,1,3,2] => [1,6,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 1
[6,5,4,2,1,3] => [1,6,3,4,2,5] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 1
[6,5,4,2,3,1] => [1,6,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 1
[6,5,4,3,1,2] => [1,6,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 1
[6,5,4,3,2,1] => [1,6,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 1
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
22,2 92,26,2 426,242,50,2
F1=1
F2=2
F3=6
F4=22+2 q
F5=92+26 q+2 q2
F6=426+242 q+50 q2+2 q3
Description
The number of mid points of increasing subsequences of length 3 in a permutation.
For a permutation π of {1,…,n}, this is the number of indices j such that there exist indices i,k with i<j<k and π(i)<π(j)<π(k).
The generating function is given by [1].
For a permutation π of {1,…,n}, this is the number of indices j such that there exist indices i,k with i<j<k and π(i)<π(j)<π(k).
The generating function is given by [1].
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!