Identifier
-
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00090: Permutations —cycle-as-one-line notation⟶ Permutations
Mp00060: Permutations —Robinson-Schensted tableau shape⟶ Integer partitions
St000183: Integer partitions ⟶ ℤ
Values
[.,.] => [1] => [1] => [1] => 1
[.,[.,.]] => [2,1] => [1,2] => [2] => 1
[[.,.],.] => [1,2] => [1,2] => [2] => 1
[.,[.,[.,.]]] => [3,2,1] => [1,3,2] => [2,1] => 1
[.,[[.,.],.]] => [2,3,1] => [1,2,3] => [3] => 1
[[.,.],[.,.]] => [1,3,2] => [1,2,3] => [3] => 1
[[.,[.,.]],.] => [2,1,3] => [1,2,3] => [3] => 1
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [3] => 1
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,4,2,3] => [3,1] => 1
[.,[.,[[.,.],.]]] => [3,4,2,1] => [1,3,2,4] => [3,1] => 1
[.,[[.,.],[.,.]]] => [2,4,3,1] => [1,2,4,3] => [3,1] => 1
[.,[[.,[.,.]],.]] => [3,2,4,1] => [1,3,4,2] => [3,1] => 1
[.,[[[.,.],.],.]] => [2,3,4,1] => [1,2,3,4] => [4] => 1
[[.,.],[.,[.,.]]] => [1,4,3,2] => [1,2,4,3] => [3,1] => 1
[[.,.],[[.,.],.]] => [1,3,4,2] => [1,2,3,4] => [4] => 1
[[.,[.,.]],[.,.]] => [2,1,4,3] => [1,2,3,4] => [4] => 1
[[[.,.],.],[.,.]] => [1,2,4,3] => [1,2,3,4] => [4] => 1
[[.,[.,[.,.]]],.] => [3,2,1,4] => [1,3,2,4] => [3,1] => 1
[[.,[[.,.],.]],.] => [2,3,1,4] => [1,2,3,4] => [4] => 1
[[[.,.],[.,.]],.] => [1,3,2,4] => [1,2,3,4] => [4] => 1
[[[.,[.,.]],.],.] => [2,1,3,4] => [1,2,3,4] => [4] => 1
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [4] => 1
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,5,2,4,3] => [3,1,1] => 1
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [1,4,2,5,3] => [3,2] => 2
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [1,3,4,2,5] => [4,1] => 1
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [1,4,2,3,5] => [4,1] => 1
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [1,3,5,2,4] => [3,2] => 2
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [1,2,5,3,4] => [4,1] => 1
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [1,2,4,3,5] => [4,1] => 1
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [1,3,5,2,4] => [3,2] => 2
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [1,2,3,5,4] => [4,1] => 1
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [1,4,5,2,3] => [3,2] => 2
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [1,3,2,4,5] => [4,1] => 1
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [1,2,4,5,3] => [4,1] => 1
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [1,3,4,5,2] => [4,1] => 1
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [1,2,3,4,5] => [5] => 1
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [1,2,5,3,4] => [4,1] => 1
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [1,2,4,3,5] => [4,1] => 1
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [1,2,3,5,4] => [4,1] => 1
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [1,2,4,5,3] => [4,1] => 1
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [1,2,3,4,5] => [5] => 1
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [1,2,3,5,4] => [4,1] => 1
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [1,2,3,4,5] => [5] => 1
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [1,2,3,5,4] => [4,1] => 1
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [1,2,3,4,5] => [5] => 1
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [1,3,2,4,5] => [4,1] => 1
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [1,2,3,4,5] => [5] => 1
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [1,2,3,4,5] => [5] => 1
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [1,2,3,4,5] => [5] => 1
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [1,2,3,4,5] => [5] => 1
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [1,4,2,3,5] => [4,1] => 1
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [1,3,2,4,5] => [4,1] => 1
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [1,2,4,3,5] => [4,1] => 1
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [1,3,4,2,5] => [4,1] => 1
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [1,2,3,4,5] => [5] => 1
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [1,2,4,3,5] => [4,1] => 1
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [1,2,3,4,5] => [5] => 1
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [1,2,3,4,5] => [5] => 1
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [1,2,3,4,5] => [5] => 1
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [1,3,2,4,5] => [4,1] => 1
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [1,2,3,4,5] => [5] => 1
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [1,2,3,4,5] => [5] => 1
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [1,2,3,4,5] => [5] => 1
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [5] => 1
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => [4,1,1] => 1
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [1,5,2,6,3,4] => [4,2] => 2
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [1,4,3,5,2,6] => [4,1,1] => 1
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [1,5,2,4,3,6] => [4,1,1] => 1
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [1,4,3,6,2,5] => [3,2,1] => 2
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [1,3,5,2,6,4] => [4,2] => 2
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [1,3,6,2,5,4] => [3,2,1] => 2
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [1,4,5,2,3,6] => [4,2] => 2
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [1,3,6,2,4,5] => [4,2] => 2
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [1,5,2,4,6,3] => [4,1,1] => 1
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [1,4,6,2,5,3] => [3,2,1] => 2
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [1,3,4,6,2,5] => [4,2] => 2
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [1,4,6,2,3,5] => [4,2] => 2
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [1,3,5,2,4,6] => [4,2] => 2
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [1,2,6,3,5,4] => [4,1,1] => 1
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [1,2,5,3,6,4] => [4,2] => 2
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [1,2,4,5,3,6] => [5,1] => 1
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => [5,1] => 1
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [1,2,4,6,3,5] => [4,2] => 2
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [1,3,6,2,4,5] => [4,2] => 2
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [1,3,5,4,6,2] => [4,1,1] => 1
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => [5,1] => 1
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [1,2,3,5,4,6] => [5,1] => 1
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [1,4,6,2,3,5] => [4,2] => 2
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [1,3,2,4,6,5] => [4,2] => 2
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [1,2,4,6,3,5] => [4,2] => 2
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [1,3,4,6,2,5] => [4,2] => 2
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => [5,1] => 1
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [1,5,6,2,4,3] => [3,2,1] => 2
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [1,4,2,5,6,3] => [4,2] => 2
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [1,3,4,2,5,6] => [5,1] => 1
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [1,4,2,3,5,6] => [5,1] => 1
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [1,3,5,6,2,4] => [4,2] => 2
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [1,2,5,6,3,4] => [4,2] => 2
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [1,2,4,3,5,6] => [5,1] => 1
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [1,3,5,6,2,4] => [4,2] => 2
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [1,2,3,5,6,4] => [5,1] => 1
>>> Load all 1665 entries. <<<[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [1,4,5,6,2,3] => [4,2] => 2
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [1,3,2,4,5,6] => [5,1] => 1
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [1,2,4,5,6,3] => [5,1] => 1
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [1,3,4,5,6,2] => [5,1] => 1
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => [6] => 1
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [1,2,6,3,5,4] => [4,1,1] => 1
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [1,2,5,3,6,4] => [4,2] => 2
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [1,2,4,5,3,6] => [5,1] => 1
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [1,2,5,3,4,6] => [5,1] => 1
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [1,2,4,6,3,5] => [4,2] => 2
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [1,2,3,6,4,5] => [5,1] => 1
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [1,2,3,5,4,6] => [5,1] => 1
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [1,2,4,6,3,5] => [4,2] => 2
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [1,2,3,4,6,5] => [5,1] => 1
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [1,2,5,6,3,4] => [4,2] => 2
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [1,2,4,3,5,6] => [5,1] => 1
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [1,2,3,5,6,4] => [5,1] => 1
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [1,2,4,5,6,3] => [5,1] => 1
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [1,2,3,4,5,6] => [6] => 1
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [1,2,3,6,4,5] => [5,1] => 1
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [1,2,3,5,4,6] => [5,1] => 1
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [1,2,3,4,6,5] => [5,1] => 1
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [1,2,3,5,6,4] => [5,1] => 1
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [1,2,3,4,5,6] => [6] => 1
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [1,2,3,6,4,5] => [5,1] => 1
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [1,2,3,5,4,6] => [5,1] => 1
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [1,2,3,4,6,5] => [5,1] => 1
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [1,2,3,5,6,4] => [5,1] => 1
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [1,2,3,4,5,6] => [6] => 1
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [1,3,2,4,6,5] => [4,2] => 2
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [1,3,2,4,5,6] => [5,1] => 1
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [1,2,3,4,6,5] => [5,1] => 1
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [1,2,3,4,5,6] => [6] => 1
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [1,2,3,4,6,5] => [5,1] => 1
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [1,2,3,4,5,6] => [6] => 1
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [1,2,3,4,6,5] => [5,1] => 1
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [1,2,3,4,5,6] => [6] => 1
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [1,2,3,4,6,5] => [5,1] => 1
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => [6] => 1
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [1,4,2,3,5,6] => [5,1] => 1
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [1,3,2,4,5,6] => [5,1] => 1
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [1,2,4,3,5,6] => [5,1] => 1
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [1,3,4,2,5,6] => [5,1] => 1
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [1,2,3,4,5,6] => [6] => 1
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [1,2,4,3,5,6] => [5,1] => 1
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [1,2,3,4,5,6] => [6] => 1
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => [6] => 1
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => [6] => 1
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [1,3,2,4,5,6] => [5,1] => 1
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [1,2,3,4,5,6] => [6] => 1
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => [6] => 1
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => [6] => 1
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => [6] => 1
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [1,5,2,4,3,6] => [4,1,1] => 1
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [1,4,2,5,3,6] => [4,2] => 2
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [1,3,4,2,5,6] => [5,1] => 1
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [1,4,2,3,5,6] => [5,1] => 1
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [1,3,5,2,4,6] => [4,2] => 2
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [1,2,5,3,4,6] => [5,1] => 1
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [1,2,4,3,5,6] => [5,1] => 1
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [1,3,5,2,4,6] => [4,2] => 2
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [1,2,3,5,4,6] => [5,1] => 1
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [1,4,5,2,3,6] => [4,2] => 2
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [1,3,2,4,5,6] => [5,1] => 1
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [1,2,4,5,3,6] => [5,1] => 1
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [1,3,4,5,2,6] => [5,1] => 1
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [1,2,3,4,5,6] => [6] => 1
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [1,2,5,3,4,6] => [5,1] => 1
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [1,2,4,3,5,6] => [5,1] => 1
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [1,2,3,5,4,6] => [5,1] => 1
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [1,2,4,5,3,6] => [5,1] => 1
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [1,2,3,4,5,6] => [6] => 1
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [1,2,3,5,4,6] => [5,1] => 1
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [1,2,3,4,5,6] => [6] => 1
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [1,2,3,5,4,6] => [5,1] => 1
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => [6] => 1
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [1,3,2,4,5,6] => [5,1] => 1
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [1,2,3,4,5,6] => [6] => 1
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => [6] => 1
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => [6] => 1
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => [6] => 1
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [1,4,2,3,5,6] => [5,1] => 1
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [1,3,2,4,5,6] => [5,1] => 1
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [1,2,4,3,5,6] => [5,1] => 1
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [1,3,4,2,5,6] => [5,1] => 1
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [1,2,3,4,5,6] => [6] => 1
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [1,2,4,3,5,6] => [5,1] => 1
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => [6] => 1
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [1,2,3,4,5,6] => [6] => 1
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => [6] => 1
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [1,3,2,4,5,6] => [5,1] => 1
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [1,2,3,4,5,6] => [6] => 1
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => [6] => 1
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [1,2,3,4,5,6] => [6] => 1
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6] => 1
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [1,7,2,6,3,5,4] => [4,1,1,1] => 1
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [1,6,2,7,3,5,4] => [4,2,1] => 2
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [1,5,3,6,2,7,4] => [4,2,1] => 2
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [1,6,2,5,3,7,4] => [4,2,1] => 2
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [1,5,3,7,2,6,4] => [3,2,2] => 2
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [1,4,5,3,6,2,7] => [5,1,1] => 1
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [1,4,5,3,7,2,6] => [4,2,1] => 2
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [1,5,3,7,2,4,6] => [4,2,1] => 2
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [1,4,6,2,5,3,7] => [4,2,1] => 2
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [1,6,2,5,3,4,7] => [5,1,1] => 1
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [1,5,3,4,7,2,6] => [4,2,1] => 2
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [1,4,7,2,6,3,5] => [4,2,1] => 2
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [1,5,3,6,2,4,7] => [4,2,1] => 2
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [1,4,7,2,5,3,6] => [4,2,1] => 2
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [1,3,6,2,7,4,5] => [4,3] => 2
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [1,3,7,2,6,4,5] => [4,2,1] => 2
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [1,3,7,2,5,4,6] => [4,2,1] => 2
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [1,3,5,4,7,2,6] => [4,2,1] => 2
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [1,3,6,2,5,4,7] => [4,2,1] => 2
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [1,4,6,2,3,7,5] => [4,3] => 2
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [1,4,7,2,3,6,5] => [4,2,1] => 2
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [1,3,7,2,4,6,5] => [4,2,1] => 2
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [1,3,6,2,4,7,5] => [4,3] => 2
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [1,5,6,2,4,7,3] => [4,2,1] => 2
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [1,4,7,2,5,6,3] => [4,2,1] => 2
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [1,3,4,7,2,5,6] => [5,2] => 2
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [1,4,7,2,3,5,6] => [5,2] => 2
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [1,3,5,6,2,4,7] => [5,2] => 2
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [1,6,2,5,7,3,4] => [4,2,1] => 2
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [1,5,7,2,6,3,4] => [4,2,1] => 2
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [1,4,3,5,7,2,6] => [4,2,1] => 2
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [1,5,7,2,4,3,6] => [4,2,1] => 2
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [1,4,3,6,2,5,7] => [4,2,1] => 2
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [1,3,5,7,2,6,4] => [4,2,1] => 2
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [1,3,6,2,5,7,4] => [4,2,1] => 2
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [1,4,5,7,2,3,6] => [4,3] => 2
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [1,3,6,2,4,5,7] => [5,2] => 2
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [1,5,7,2,4,6,3] => [4,2,1] => 2
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [1,4,6,2,5,7,3] => [4,2,1] => 2
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [1,3,4,6,2,5,7] => [5,2] => 2
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [1,4,6,2,3,5,7] => [5,2] => 2
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [1,3,5,7,2,4,6] => [4,3] => 2
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [1,2,7,3,6,4,5] => [5,1,1] => 1
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [1,2,6,3,7,4,5] => [5,2] => 2
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [1,2,5,4,6,3,7] => [5,1,1] => 1
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [1,2,6,3,5,4,7] => [5,1,1] => 1
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [1,2,5,4,7,3,6] => [4,2,1] => 2
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [1,2,4,6,3,7,5] => [5,2] => 2
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [1,2,4,7,3,6,5] => [4,2,1] => 2
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [1,2,5,6,3,4,7] => [5,2] => 2
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [1,2,4,7,3,5,6] => [5,2] => 2
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [1,2,6,3,5,7,4] => [5,1,1] => 1
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [1,2,5,7,3,6,4] => [4,2,1] => 2
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [1,2,4,5,7,3,6] => [5,2] => 2
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [1,2,5,7,3,4,6] => [5,2] => 2
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [1,2,4,6,3,5,7] => [5,2] => 2
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [1,3,7,2,4,6,5] => [4,2,1] => 2
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [1,3,6,4,7,2,5] => [4,2,1] => 2
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [1,3,5,6,4,7,2] => [5,1,1] => 1
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [1,3,6,4,5,7,2] => [5,1,1] => 1
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [1,3,5,7,2,4,6] => [4,3] => 2
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [1,2,3,7,4,6,5] => [5,1,1] => 1
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [1,2,3,6,4,7,5] => [5,2] => 2
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [1,2,3,5,6,4,7] => [6,1] => 1
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => [6,1] => 1
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [1,2,3,5,7,4,6] => [5,2] => 2
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [1,4,7,2,3,5,6] => [5,2] => 2
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [1,4,6,5,7,2,3] => [4,2,1] => 2
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [1,3,2,4,7,5,6] => [5,2] => 2
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [1,3,2,4,6,5,7] => [5,2] => 2
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [1,2,4,7,3,5,6] => [5,2] => 2
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [1,2,4,6,5,7,3] => [5,1,1] => 1
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [1,3,4,7,2,5,6] => [5,2] => 2
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [1,3,4,6,5,7,2] => [5,1,1] => 1
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => [6,1] => 1
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [1,2,3,4,6,5,7] => [6,1] => 1
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [1,5,7,2,4,3,6] => [4,2,1] => 2
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [1,4,2,5,7,3,6] => [4,3] => 2
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [1,3,4,2,5,7,6] => [5,2] => 2
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [1,4,2,3,5,7,6] => [5,2] => 2
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [1,3,5,7,2,4,6] => [4,3] => 2
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [1,2,5,7,3,4,6] => [5,2] => 2
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [1,2,4,3,5,7,6] => [5,2] => 2
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [1,3,5,7,2,4,6] => [4,3] => 2
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [1,2,3,5,7,4,6] => [5,2] => 2
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [1,4,5,7,2,3,6] => [4,3] => 2
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [1,3,2,4,5,7,6] => [5,2] => 2
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [1,2,4,5,7,3,6] => [5,2] => 2
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [1,3,4,5,7,2,6] => [5,2] => 2
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => [6,1] => 1
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [1,6,7,2,5,3,4] => [4,2,1] => 2
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [1,5,2,6,7,3,4] => [4,3] => 2
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [1,4,3,5,2,6,7] => [5,1,1] => 1
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [1,5,2,4,3,6,7] => [5,1,1] => 1
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [1,4,3,6,7,2,5] => [4,2,1] => 2
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [1,3,5,2,6,7,4] => [5,2] => 2
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [1,3,6,7,2,5,4] => [4,2,1] => 2
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [1,4,5,2,3,6,7] => [5,2] => 2
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [1,3,6,7,2,4,5] => [4,3] => 2
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [1,5,2,4,6,7,3] => [5,1,1] => 1
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [1,4,6,7,2,5,3] => [4,2,1] => 2
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [1,3,4,6,7,2,5] => [5,2] => 2
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [1,4,6,7,2,3,5] => [4,3] => 2
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [1,3,5,2,4,6,7] => [5,2] => 2
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [1,2,6,7,3,5,4] => [4,2,1] => 2
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [1,2,5,3,6,7,4] => [5,2] => 2
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [1,2,4,5,3,6,7] => [6,1] => 1
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [1,2,5,3,4,6,7] => [6,1] => 1
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [1,2,4,6,7,3,5] => [5,2] => 2
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [1,3,6,7,2,4,5] => [4,3] => 2
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [1,3,5,4,6,7,2] => [5,1,1] => 1
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [1,2,3,6,7,4,5] => [5,2] => 2
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [1,2,3,5,4,6,7] => [6,1] => 1
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [1,4,6,7,2,3,5] => [4,3] => 2
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [1,3,2,4,6,7,5] => [5,2] => 2
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [1,2,4,6,7,3,5] => [5,2] => 2
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [1,3,4,6,7,2,5] => [5,2] => 2
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [1,2,3,4,6,7,5] => [6,1] => 1
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [1,5,6,7,2,4,3] => [4,2,1] => 2
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [1,4,2,5,6,7,3] => [5,2] => 2
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [1,3,4,2,5,6,7] => [6,1] => 1
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [1,4,2,3,5,6,7] => [6,1] => 1
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [1,3,5,6,7,2,4] => [5,2] => 2
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [1,2,5,6,7,3,4] => [5,2] => 2
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [1,2,4,3,5,6,7] => [6,1] => 1
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [1,3,5,6,7,2,4] => [5,2] => 2
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [1,2,3,5,6,7,4] => [6,1] => 1
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [1,4,5,6,7,2,3] => [5,2] => 2
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [1,3,2,4,5,6,7] => [6,1] => 1
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [1,2,4,5,6,7,3] => [6,1] => 1
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [1,3,4,5,6,7,2] => [6,1] => 1
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => [7] => 1
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [1,2,7,3,6,4,5] => [5,1,1] => 1
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [1,2,6,3,7,4,5] => [5,2] => 2
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [1,2,5,4,6,3,7] => [5,1,1] => 1
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [1,2,6,3,5,4,7] => [5,1,1] => 1
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [1,2,5,4,7,3,6] => [4,2,1] => 2
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [1,2,4,6,3,7,5] => [5,2] => 2
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [1,2,4,7,3,6,5] => [4,2,1] => 2
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [1,2,5,6,3,4,7] => [5,2] => 2
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [1,2,4,7,3,5,6] => [5,2] => 2
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [1,2,6,3,5,7,4] => [5,1,1] => 1
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [1,2,5,7,3,6,4] => [4,2,1] => 2
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [1,2,4,5,7,3,6] => [5,2] => 2
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [1,2,5,7,3,4,6] => [5,2] => 2
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [1,2,4,6,3,5,7] => [5,2] => 2
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [1,2,3,7,4,6,5] => [5,1,1] => 1
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [1,2,3,6,4,7,5] => [5,2] => 2
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [1,2,3,5,6,4,7] => [6,1] => 1
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [1,2,3,6,4,5,7] => [6,1] => 1
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [1,2,3,5,7,4,6] => [5,2] => 2
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [1,2,4,7,3,5,6] => [5,2] => 2
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [1,2,4,6,5,7,3] => [5,1,1] => 1
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [1,2,3,4,7,5,6] => [6,1] => 1
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [1,2,3,4,6,5,7] => [6,1] => 1
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [1,2,5,7,3,4,6] => [5,2] => 2
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [1,2,4,3,5,7,6] => [5,2] => 2
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [1,2,3,5,7,4,6] => [5,2] => 2
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [1,2,4,5,7,3,6] => [5,2] => 2
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [1,2,3,4,5,7,6] => [6,1] => 1
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [1,2,6,7,3,5,4] => [4,2,1] => 2
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [1,2,5,3,6,7,4] => [5,2] => 2
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [1,2,4,5,3,6,7] => [6,1] => 1
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [1,2,5,3,4,6,7] => [6,1] => 1
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [1,2,4,6,7,3,5] => [5,2] => 2
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [1,2,3,6,7,4,5] => [5,2] => 2
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [1,2,3,5,4,6,7] => [6,1] => 1
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [1,2,4,6,7,3,5] => [5,2] => 2
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [1,2,3,4,6,7,5] => [6,1] => 1
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [1,2,5,6,7,3,4] => [5,2] => 2
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [1,2,4,3,5,6,7] => [6,1] => 1
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [1,2,3,5,6,7,4] => [6,1] => 1
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [1,2,4,5,6,7,3] => [6,1] => 1
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => [7] => 1
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [1,2,3,7,4,6,5] => [5,1,1] => 1
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [1,2,3,6,4,7,5] => [5,2] => 2
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [1,2,3,5,6,4,7] => [6,1] => 1
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [1,2,3,6,4,5,7] => [6,1] => 1
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [1,2,3,5,7,4,6] => [5,2] => 2
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [1,2,3,4,7,5,6] => [6,1] => 1
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [1,2,3,4,6,5,7] => [6,1] => 1
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [1,2,3,5,7,4,6] => [5,2] => 2
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [1,2,3,4,5,7,6] => [6,1] => 1
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [1,2,3,6,7,4,5] => [5,2] => 2
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [1,2,3,5,4,6,7] => [6,1] => 1
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [1,2,3,4,6,7,5] => [6,1] => 1
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [1,2,3,5,6,7,4] => [6,1] => 1
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [1,2,3,4,5,6,7] => [7] => 1
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [1,2,3,7,4,6,5] => [5,1,1] => 1
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [1,2,3,6,4,7,5] => [5,2] => 2
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [1,2,3,5,6,4,7] => [6,1] => 1
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [1,2,3,6,4,5,7] => [6,1] => 1
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [1,2,3,5,7,4,6] => [5,2] => 2
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [1,2,3,4,7,5,6] => [6,1] => 1
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [1,2,3,4,6,5,7] => [6,1] => 1
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [1,2,3,5,7,4,6] => [5,2] => 2
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [1,2,3,4,5,7,6] => [6,1] => 1
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [1,2,3,6,7,4,5] => [5,2] => 2
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [1,2,3,5,4,6,7] => [6,1] => 1
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [1,2,3,4,6,7,5] => [6,1] => 1
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [1,2,3,5,6,7,4] => [6,1] => 1
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => [7] => 1
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [1,3,2,4,7,5,6] => [5,2] => 2
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [1,3,2,4,6,5,7] => [5,2] => 2
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [1,3,2,4,5,7,6] => [5,2] => 2
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [1,3,2,4,6,7,5] => [5,2] => 2
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [1,3,2,4,5,6,7] => [6,1] => 1
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [1,2,3,4,7,5,6] => [6,1] => 1
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [1,2,3,4,6,5,7] => [6,1] => 1
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [1,2,3,4,5,7,6] => [6,1] => 1
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [1,2,3,4,6,7,5] => [6,1] => 1
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [1,2,3,4,5,6,7] => [7] => 1
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [1,2,3,4,7,5,6] => [6,1] => 1
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [1,2,3,4,6,5,7] => [6,1] => 1
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [1,2,3,4,5,7,6] => [6,1] => 1
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [1,2,3,4,6,7,5] => [6,1] => 1
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [1,2,3,4,5,6,7] => [7] => 1
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [1,2,3,4,7,5,6] => [6,1] => 1
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [1,2,3,4,6,5,7] => [6,1] => 1
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [1,2,3,4,5,7,6] => [6,1] => 1
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [1,2,3,4,6,7,5] => [6,1] => 1
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [1,2,3,4,7,5,6] => [6,1] => 1
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [1,2,3,4,6,5,7] => [6,1] => 1
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => [6,1] => 1
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [1,2,3,4,6,7,5] => [6,1] => 1
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => [7] => 1
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [1,4,2,3,5,7,6] => [5,2] => 2
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [1,4,2,3,5,6,7] => [6,1] => 1
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [1,3,2,4,5,7,6] => [5,2] => 2
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [1,3,2,4,5,6,7] => [6,1] => 1
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [1,2,4,3,5,7,6] => [5,2] => 2
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [1,2,4,3,5,6,7] => [6,1] => 1
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [1,3,4,2,5,7,6] => [5,2] => 2
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [1,3,4,2,5,6,7] => [6,1] => 1
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => [6,1] => 1
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => [7] => 1
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [1,2,4,3,5,7,6] => [5,2] => 2
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [1,2,4,3,5,6,7] => [6,1] => 1
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [1,2,3,4,5,7,6] => [6,1] => 1
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [1,2,3,4,5,6,7] => [7] => 1
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => [6,1] => 1
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [1,2,3,4,5,7,6] => [6,1] => 1
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [1,2,3,4,5,6,7] => [7] => 1
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [1,3,2,4,5,7,6] => [5,2] => 2
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [1,3,2,4,5,6,7] => [6,1] => 1
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [1,2,3,4,5,7,6] => [6,1] => 1
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [1,2,3,4,5,7,6] => [6,1] => 1
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [1,2,3,4,5,7,6] => [6,1] => 1
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => [6,1] => 1
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => [7] => 1
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [1,5,2,4,3,6,7] => [5,1,1] => 1
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [1,4,2,5,3,6,7] => [5,2] => 2
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [1,3,4,2,5,6,7] => [6,1] => 1
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [1,4,2,3,5,6,7] => [6,1] => 1
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [1,3,5,2,4,6,7] => [5,2] => 2
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [1,2,5,3,4,6,7] => [6,1] => 1
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [1,2,4,3,5,6,7] => [6,1] => 1
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [1,3,5,2,4,6,7] => [5,2] => 2
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [1,2,3,5,4,6,7] => [6,1] => 1
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [1,4,5,2,3,6,7] => [5,2] => 2
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [1,3,2,4,5,6,7] => [6,1] => 1
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [1,2,4,5,3,6,7] => [6,1] => 1
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [1,3,4,5,2,6,7] => [6,1] => 1
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [1,2,5,3,4,6,7] => [6,1] => 1
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [1,2,4,3,5,6,7] => [6,1] => 1
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [1,2,3,5,4,6,7] => [6,1] => 1
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [1,2,4,5,3,6,7] => [6,1] => 1
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [1,2,3,5,4,6,7] => [6,1] => 1
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [1,2,3,5,4,6,7] => [6,1] => 1
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [1,3,2,4,5,6,7] => [6,1] => 1
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [1,4,2,3,5,6,7] => [6,1] => 1
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [1,3,2,4,5,6,7] => [6,1] => 1
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [1,2,4,3,5,6,7] => [6,1] => 1
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [1,3,4,2,5,6,7] => [6,1] => 1
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [1,2,4,3,5,6,7] => [6,1] => 1
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [1,3,2,4,5,6,7] => [6,1] => 1
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => [7] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [1,6,2,5,3,4,7] => [5,1,1] => 1
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [1,5,2,6,3,4,7] => [5,2] => 2
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [1,4,3,5,2,6,7] => [5,1,1] => 1
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [1,5,2,4,3,6,7] => [5,1,1] => 1
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [1,4,3,6,2,5,7] => [4,2,1] => 2
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [1,3,5,2,6,4,7] => [5,2] => 2
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [1,3,6,2,5,4,7] => [4,2,1] => 2
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [1,4,5,2,3,6,7] => [5,2] => 2
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [1,3,6,2,4,5,7] => [5,2] => 2
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [1,5,2,4,6,3,7] => [5,1,1] => 1
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [1,4,6,2,5,3,7] => [4,2,1] => 2
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [1,3,4,6,2,5,7] => [5,2] => 2
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [1,4,6,2,3,5,7] => [5,2] => 2
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [1,3,5,2,4,6,7] => [5,2] => 2
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [1,2,6,3,5,4,7] => [5,1,1] => 1
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [1,2,5,3,6,4,7] => [5,2] => 2
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [1,2,4,5,3,6,7] => [6,1] => 1
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [1,2,5,3,4,6,7] => [6,1] => 1
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [1,2,4,6,3,5,7] => [5,2] => 2
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [1,3,6,2,4,5,7] => [5,2] => 2
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [1,3,5,4,6,2,7] => [5,1,1] => 1
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [1,2,3,6,4,5,7] => [6,1] => 1
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [1,2,3,5,4,6,7] => [6,1] => 1
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [1,4,6,2,3,5,7] => [5,2] => 2
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [1,3,2,4,6,5,7] => [5,2] => 2
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [1,2,4,6,3,5,7] => [5,2] => 2
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [1,3,4,6,2,5,7] => [5,2] => 2
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [1,2,3,4,6,5,7] => [6,1] => 1
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [1,5,6,2,4,3,7] => [4,2,1] => 2
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [1,4,2,5,6,3,7] => [5,2] => 2
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [1,3,4,2,5,6,7] => [6,1] => 1
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [1,4,2,3,5,6,7] => [6,1] => 1
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [1,3,5,6,2,4,7] => [5,2] => 2
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [1,2,5,6,3,4,7] => [5,2] => 2
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [1,2,4,3,5,6,7] => [6,1] => 1
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [1,3,5,6,2,4,7] => [5,2] => 2
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [1,2,3,5,6,4,7] => [6,1] => 1
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [1,4,5,6,2,3,7] => [5,2] => 2
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [1,3,2,4,5,6,7] => [6,1] => 1
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [1,2,4,5,6,3,7] => [6,1] => 1
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [1,3,4,5,6,2,7] => [6,1] => 1
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [1,2,6,3,5,4,7] => [5,1,1] => 1
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [1,2,5,3,6,4,7] => [5,2] => 2
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [1,2,4,5,3,6,7] => [6,1] => 1
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [1,2,5,3,4,6,7] => [6,1] => 1
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [1,2,4,6,3,5,7] => [5,2] => 2
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [1,2,3,6,4,5,7] => [6,1] => 1
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [1,2,3,5,4,6,7] => [6,1] => 1
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [1,2,4,6,3,5,7] => [5,2] => 2
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [1,2,3,4,6,5,7] => [6,1] => 1
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [1,2,5,6,3,4,7] => [5,2] => 2
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [1,2,4,3,5,6,7] => [6,1] => 1
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [1,2,3,5,6,4,7] => [6,1] => 1
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [1,2,4,5,6,3,7] => [6,1] => 1
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [1,2,3,6,4,5,7] => [6,1] => 1
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [1,2,3,5,4,6,7] => [6,1] => 1
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [1,2,3,4,6,5,7] => [6,1] => 1
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [1,2,3,5,6,4,7] => [6,1] => 1
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [1,2,3,6,4,5,7] => [6,1] => 1
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [1,2,3,5,4,6,7] => [6,1] => 1
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [1,2,3,4,6,5,7] => [6,1] => 1
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [1,2,3,5,6,4,7] => [6,1] => 1
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [1,3,2,4,6,5,7] => [5,2] => 2
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [1,3,2,4,5,6,7] => [6,1] => 1
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [1,2,3,4,6,5,7] => [6,1] => 1
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [1,2,3,4,6,5,7] => [6,1] => 1
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [1,2,3,4,6,5,7] => [6,1] => 1
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [1,2,3,4,6,5,7] => [6,1] => 1
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [1,4,2,3,5,6,7] => [6,1] => 1
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [1,3,2,4,5,6,7] => [6,1] => 1
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [1,2,4,3,5,6,7] => [6,1] => 1
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [1,3,4,2,5,6,7] => [6,1] => 1
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [1,2,4,3,5,6,7] => [6,1] => 1
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [1,3,2,4,5,6,7] => [6,1] => 1
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [1,5,2,4,3,6,7] => [5,1,1] => 1
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [1,4,2,5,3,6,7] => [5,2] => 2
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [1,3,4,2,5,6,7] => [6,1] => 1
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [1,4,2,3,5,6,7] => [6,1] => 1
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [1,3,5,2,4,6,7] => [5,2] => 2
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [1,2,5,3,4,6,7] => [6,1] => 1
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [1,2,4,3,5,6,7] => [6,1] => 1
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [1,3,5,2,4,6,7] => [5,2] => 2
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [1,2,3,5,4,6,7] => [6,1] => 1
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [1,4,5,2,3,6,7] => [5,2] => 2
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [1,3,2,4,5,6,7] => [6,1] => 1
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [1,2,4,5,3,6,7] => [6,1] => 1
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [1,3,4,5,2,6,7] => [6,1] => 1
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [1,2,5,3,4,6,7] => [6,1] => 1
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [1,2,4,3,5,6,7] => [6,1] => 1
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [1,2,3,5,4,6,7] => [6,1] => 1
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [1,2,4,5,3,6,7] => [6,1] => 1
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [1,2,3,5,4,6,7] => [6,1] => 1
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [1,2,3,5,4,6,7] => [6,1] => 1
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [1,3,2,4,5,6,7] => [6,1] => 1
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [1,4,2,3,5,6,7] => [6,1] => 1
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [1,3,2,4,5,6,7] => [6,1] => 1
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [1,2,4,3,5,6,7] => [6,1] => 1
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [1,3,4,2,5,6,7] => [6,1] => 1
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [1,2,4,3,5,6,7] => [6,1] => 1
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [1,3,2,4,5,6,7] => [6,1] => 1
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7] => 1
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [1,8,2,7,3,6,4,5] => [5,1,1,1] => 1
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [1,7,2,8,3,6,4,5] => [5,2,1] => 2
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [1,6,3,7,2,8,4,5] => [4,3,1] => 2
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [1,7,2,6,3,8,4,5] => [5,2,1] => 2
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [1,5,4,6,3,7,2,8] => [5,1,1,1] => 1
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [1,5,4,6,3,8,2,7] => [4,2,1,1] => 2
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [1,5,4,7,2,6,3,8] => [4,2,2] => 2
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [1,7,2,6,3,5,4,8] => [5,1,1,1] => 1
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [1,5,4,8,2,7,3,6] => [4,2,2] => 2
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [1,6,3,7,2,5,4,8] => [4,2,2] => 2
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [1,5,4,8,2,6,3,7] => [4,2,2] => 2
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [1,4,6,3,7,2,8,5] => [5,2,1] => 2
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [4,6,7,8,5,3,2,1] => [1,4,8,2,6,3,7,5] => [4,3,1] => 2
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [5,4,7,8,6,3,2,1] => [1,5,6,3,7,2,4,8] => [5,2,1] => 2
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [1,4,7,2,5,6,3,8] => [5,2,1] => 2
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [4,5,7,8,6,3,2,1] => [1,4,8,2,5,6,3,7] => [5,2,1] => 2
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [1,4,8,2,6,3,5,7] => [5,2,1] => 2
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [1,4,8,2,5,7,3,6] => [4,3,1] => 2
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => [1,5,8,2,7,3,6,4] => [4,2,1,1] => 2
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [1,4,5,8,2,6,3,7] => [5,2,1] => 2
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [1,5,8,2,4,6,3,7] => [5,2,1] => 2
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [1,4,6,3,7,2,5,8] => [5,2,1] => 2
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [1,5,8,2,6,3,4,7] => [5,2,1] => 2
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => [1,4,7,2,6,3,5,8] => [5,2,1] => 2
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [1,5,8,2,4,7,3,6] => [4,2,2] => 2
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [1,4,7,2,5,8,3,6] => [4,3,1] => 2
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [1,3,7,2,8,4,6,5] => [4,3,1] => 2
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [1,3,8,2,7,4,6,5] => [4,2,1,1] => 2
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [1,3,8,2,6,4,7,5] => [4,3,1] => 2
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [1,3,6,4,8,2,7,5] => [4,2,2] => 2
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [1,3,8,2,5,6,4,7] => [5,2,1] => 2
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [1,3,6,4,5,8,2,7] => [5,2,1] => 2
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [3,6,7,5,8,4,2,1] => [1,3,7,2,6,4,5,8] => [5,2,1] => 2
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [1,3,7,2,5,8,4,6] => [4,3,1] => 2
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [1,3,6,4,7,2,5,8] => [5,2,1] => 2
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [1,4,7,2,3,8,5,6] => [5,3] => 2
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [1,4,7,2,3,6,5,8] => [5,2,1] => 2
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [1,3,8,2,4,7,5,6] => [5,2,1] => 2
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [1,3,6,5,8,2,4,7] => [4,3,1] => 2
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [1,5,7,2,4,8,3,6] => [4,3,1] => 2
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [1,5,8,2,4,7,3,6] => [4,2,2] => 2
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [4,5,3,7,8,6,2,1] => [1,4,7,2,5,8,3,6] => [4,3,1] => 2
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [4,3,5,7,8,6,2,1] => [1,4,7,2,3,5,8,6] => [5,3] => 2
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [1,3,5,7,2,4,8,6] => [5,3] => 2
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [1,3,5,8,2,4,7,6] => [4,3,1] => 2
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [1,6,7,2,5,8,3,4] => [4,3,1] => 2
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [3,6,5,4,8,7,2,1] => [1,3,5,8,2,6,7,4] => [5,2,1] => 2
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [1,5,8,2,4,6,7,3] => [5,2,1] => 2
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [4,3,5,6,8,7,2,1] => [1,4,6,7,2,3,5,8] => [5,3] => 2
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [1,3,5,8,2,4,6,7] => [5,3] => 2
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [1,5,3,6,8,2,7,4] => [4,2,2] => 2
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [1,6,8,2,5,3,7,4] => [4,2,2] => 2
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => [1,5,3,7,2,4,6,8] => [5,2,1] => 2
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [1,6,8,2,5,3,4,7] => [5,2,1] => 2
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [1,5,3,6,8,2,4,7] => [4,3,1] => 2
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [1,4,7,2,5,3,6,8] => [5,2,1] => 2
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [1,3,6,8,2,7,4,5] => [4,3,1] => 2
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [1,3,7,2,5,4,6,8] => [5,2,1] => 2
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [1,4,6,8,2,3,7,5] => [4,3,1] => 2
[.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1] => [1,3,6,8,2,4,7,5] => [4,3,1] => 2
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [1,3,4,7,2,5,6,8] => [6,2] => 2
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [4,3,5,7,6,8,2,1] => [1,4,7,2,3,5,6,8] => [6,2] => 2
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [1,3,5,6,8,2,4,7] => [5,3] => 2
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [1,4,3,6,8,2,5,7] => [4,3,1] => 2
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1] => [1,4,5,7,2,3,6,8] => [5,3] => 2
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [1,5,7,2,4,6,8,3] => [5,2,1] => 2
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1] => [1,3,4,6,8,2,5,7] => [5,3] => 2
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [1,4,6,8,2,3,5,7] => [5,3] => 2
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [1,3,5,7,2,4,6,8] => [5,3] => 2
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [1,2,8,3,7,4,6,5] => [5,1,1,1] => 1
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [1,2,7,3,8,4,6,5] => [5,2,1] => 2
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [1,2,6,4,7,3,8,5] => [5,2,1] => 2
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [1,2,7,3,6,4,8,5] => [5,2,1] => 2
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [1,2,6,4,8,3,7,5] => [4,2,2] => 2
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [1,2,5,6,4,7,3,8] => [6,1,1] => 1
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [1,2,6,4,5,8,3,7] => [5,2,1] => 2
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [2,6,5,7,8,4,3,1] => [1,2,6,4,7,3,5,8] => [5,2,1] => 2
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [1,2,5,8,3,6,4,7] => [5,2,1] => 2
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [1,2,4,7,3,8,5,6] => [5,3] => 2
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [1,2,5,8,3,4,7,6] => [5,2,1] => 2
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [1,2,4,7,3,5,8,6] => [5,3] => 2
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [1,2,5,8,3,6,7,4] => [5,2,1] => 2
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [1,2,4,5,8,3,6,7] => [6,2] => 2
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [1,2,7,3,6,8,4,5] => [5,2,1] => 2
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [1,2,4,6,8,3,7,5] => [5,2,1] => 2
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [1,2,5,7,3,6,8,4] => [5,2,1] => 2
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [1,2,4,5,7,3,6,8] => [6,2] => 2
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [1,2,5,7,3,4,6,8] => [6,2] => 2
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [1,2,4,6,8,3,5,7] => [5,3] => 2
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [1,3,8,2,4,7,5,6] => [5,2,1] => 2
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [3,2,7,8,6,5,4,1] => [1,3,7,4,8,2,5,6] => [5,2,1] => 2
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [1,3,6,5,7,4,8,2] => [5,1,1,1] => 1
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [1,3,5,8,2,4,7,6] => [4,3,1] => 2
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [3,2,6,5,8,7,4,1] => [1,3,6,7,4,5,8,2] => [5,2,1] => 2
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [3,2,6,7,5,8,4,1] => [1,3,6,8,2,4,7,5] => [4,3,1] => 2
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [1,3,5,6,8,2,4,7] => [5,3] => 2
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [1,3,5,7,4,6,8,2] => [5,2,1] => 2
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [1,2,3,8,4,7,5,6] => [6,1,1] => 1
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [1,2,3,6,5,8,4,7] => [5,2,1] => 2
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [2,3,5,8,7,6,4,1] => [1,2,3,5,7,4,8,6] => [6,2] => 2
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [1,2,3,5,8,4,7,6] => [5,2,1] => 2
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [1,2,3,6,7,4,5,8] => [6,2] => 2
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [1,2,3,5,8,4,6,7] => [6,2] => 2
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [1,2,3,7,4,6,8,5] => [6,1,1] => 1
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [1,2,3,5,6,8,4,7] => [6,2] => 2
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [1,2,3,5,7,4,6,8] => [6,2] => 2
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [1,4,8,2,3,5,7,6] => [5,2,1] => 2
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [1,4,7,5,8,2,3,6] => [4,3,1] => 2
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [1,3,2,4,8,5,7,6] => [5,2,1] => 2
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [1,3,2,4,7,5,8,6] => [5,3] => 2
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [1,2,4,8,3,5,7,6] => [5,2,1] => 2
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [1,2,4,6,8,3,5,7] => [5,3] => 2
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [1,3,4,8,2,5,7,6] => [5,2,1] => 2
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [1,3,4,7,5,8,2,6] => [5,2,1] => 2
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [1,2,3,4,8,5,7,6] => [6,1,1] => 1
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [2,3,4,7,8,6,5,1] => [1,2,3,4,7,5,8,6] => [6,2] => 2
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [1,2,3,4,6,7,5,8] => [7,1] => 1
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [1,2,3,4,7,5,6,8] => [7,1] => 1
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [1,2,3,4,6,8,5,7] => [6,2] => 2
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [1,5,8,2,4,3,6,7] => [5,2,1] => 2
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [1,5,7,6,8,2,4,3] => [4,2,1,1] => 2
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [1,3,4,2,5,7,6,8] => [6,2] => 2
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [4,3,5,2,8,7,6,1] => [1,4,2,3,5,8,6,7] => [6,2] => 2
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [1,2,5,8,3,4,6,7] => [6,2] => 2
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [1,2,4,3,5,8,6,7] => [6,2] => 2
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [1,2,4,3,5,7,6,8] => [6,2] => 2
[.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [1,2,3,5,8,4,6,7] => [6,2] => 2
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [1,2,3,5,7,6,8,4] => [6,1,1] => 1
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [1,4,5,7,6,8,2,3] => [5,2,1] => 2
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [1,3,2,4,5,8,6,7] => [6,2] => 2
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [1,3,2,4,5,7,6,8] => [6,2] => 2
[.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [1,2,4,5,8,3,6,7] => [6,2] => 2
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [1,3,4,5,7,6,8,2] => [6,1,1] => 1
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [1,2,3,4,5,8,6,7] => [7,1] => 1
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [1,6,8,2,5,3,4,7] => [5,2,1] => 2
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [1,5,2,4,3,6,8,7] => [5,2,1] => 2
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1] => [1,4,3,6,8,2,5,7] => [4,3,1] => 2
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [1,3,5,2,6,8,4,7] => [5,3] => 2
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [1,5,2,4,6,8,3,7] => [5,2,1] => 2
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [3,5,4,6,2,8,7,1] => [1,3,4,6,8,2,5,7] => [5,3] => 2
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [3,4,5,6,2,8,7,1] => [1,3,5,2,4,6,8,7] => [5,3] => 2
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [1,2,6,8,3,5,4,7] => [5,2,1] => 2
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [1,2,4,6,8,3,5,7] => [5,3] => 2
[.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [1,2,3,5,4,6,8,7] => [6,2] => 2
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [1,4,6,8,2,3,5,7] => [5,3] => 2
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [3,4,2,6,5,8,7,1] => [1,3,2,4,6,8,5,7] => [5,3] => 2
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [1,2,4,6,8,3,5,7] => [5,3] => 2
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [1,3,4,6,8,2,5,7] => [5,3] => 2
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [1,2,3,4,6,8,5,7] => [6,2] => 2
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [4,5,3,2,6,8,7,1] => [1,4,2,5,6,8,3,7] => [5,3] => 2
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [1,2,4,3,5,6,8,7] => [6,2] => 2
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [1,3,5,6,8,2,4,7] => [5,3] => 2
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [1,4,5,6,8,2,3,7] => [5,3] => 2
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [1,3,2,4,5,6,8,7] => [6,2] => 2
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [1,2,4,5,6,8,3,7] => [6,2] => 2
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [1,3,4,5,6,8,2,7] => [6,2] => 2
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => [1,4,5,3,6,2,7,8] => [6,1,1] => 1
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => [1,4,5,3,7,8,2,6] => [5,2,1] => 2
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [1,6,2,5,3,4,7,8] => [6,1,1] => 1
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [1,4,6,2,3,7,8,5] => [5,3] => 2
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => [1,5,6,2,4,7,8,3] => [5,2,1] => 2
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [1,3,4,7,8,2,5,6] => [5,3] => 2
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [3,4,5,7,6,2,8,1] => [1,3,5,6,2,4,7,8] => [6,2] => 2
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [1,4,3,5,7,8,2,6] => [5,2,1] => 2
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [1,5,7,8,2,4,3,6] => [4,3,1] => 2
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [1,4,3,6,2,5,7,8] => [5,2,1] => 2
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [1,4,5,7,8,2,3,6] => [5,3] => 2
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [1,3,6,2,4,5,7,8] => [6,2] => 2
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [1,5,7,8,2,4,6,3] => [4,3,1] => 2
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [3,5,4,6,7,2,8,1] => [1,3,4,6,2,5,7,8] => [6,2] => 2
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [1,4,6,2,3,5,7,8] => [6,2] => 2
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [1,3,5,7,8,2,4,6] => [5,3] => 2
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [1,2,7,8,3,6,4,5] => [5,2,1] => 2
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [1,2,6,3,5,4,7,8] => [6,1,1] => 1
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [1,2,5,4,7,8,3,6] => [5,2,1] => 2
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [1,2,5,6,3,4,7,8] => [6,2] => 2
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [1,2,4,5,7,8,3,6] => [6,2] => 2
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [1,2,5,7,8,3,4,6] => [5,3] => 2
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [1,2,4,6,3,5,7,8] => [6,2] => 2
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [1,3,6,4,7,8,2,5] => [5,2,1] => 2
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [1,3,6,4,5,7,8,2] => [6,1,1] => 1
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [1,3,5,7,8,2,4,6] => [5,3] => 2
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [1,2,3,7,8,4,6,5] => [5,2,1] => 2
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [1,2,3,5,6,4,7,8] => [7,1] => 1
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [1,2,3,5,7,8,4,6] => [6,2] => 2
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [1,4,7,8,2,3,5,6] => [5,3] => 2
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [3,4,2,7,6,5,8,1] => [1,3,2,4,7,8,5,6] => [5,3] => 2
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [1,3,2,4,6,5,7,8] => [6,2] => 2
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [1,2,4,7,8,3,5,6] => [5,3] => 2
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => [1,3,4,7,8,2,5,6] => [5,3] => 2
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [1,2,3,4,7,8,5,6] => [6,2] => 2
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [1,5,7,8,2,4,3,6] => [4,3,1] => 2
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [1,3,4,2,5,7,8,6] => [6,2] => 2
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [1,4,2,3,5,7,8,6] => [6,2] => 2
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [1,3,5,7,8,2,4,6] => [5,3] => 2
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [2,5,4,3,7,6,8,1] => [1,2,5,7,8,3,4,6] => [5,3] => 2
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [1,3,5,7,8,2,4,6] => [5,3] => 2
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [1,2,3,5,7,8,4,6] => [6,2] => 2
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [1,4,5,7,8,2,3,6] => [5,3] => 2
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [1,3,2,4,5,7,8,6] => [6,2] => 2
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [1,2,4,5,7,8,3,6] => [6,2] => 2
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [1,3,4,5,7,8,2,6] => [6,2] => 2
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [1,2,3,4,5,7,8,6] => [7,1] => 1
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [1,6,7,8,2,5,3,4] => [4,3,1] => 2
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [1,5,2,4,3,6,7,8] => [6,1,1] => 1
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [1,3,6,7,8,2,4,5] => [5,3] => 2
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [1,5,2,4,6,7,8,3] => [6,1,1] => 1
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [1,4,6,7,8,2,3,5] => [5,3] => 2
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [1,3,5,2,4,6,7,8] => [6,2] => 2
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => [1,2,5,3,6,7,8,4] => [6,2] => 2
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [1,2,5,3,4,6,7,8] => [7,1] => 1
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [1,2,3,6,7,8,4,5] => [6,2] => 2
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [4,3,2,6,5,7,8,1] => [1,4,6,7,8,2,3,5] => [5,3] => 2
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [1,3,2,4,6,7,8,5] => [6,2] => 2
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [1,2,3,4,6,7,8,5] => [7,1] => 1
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [1,5,6,7,8,2,4,3] => [5,2,1] => 2
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [1,4,2,5,6,7,8,3] => [6,2] => 2
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [1,4,2,3,5,6,7,8] => [7,1] => 1
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [1,3,5,6,7,8,2,4] => [6,2] => 2
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => [1,2,5,6,7,8,3,4] => [6,2] => 2
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [1,3,5,6,7,8,2,4] => [6,2] => 2
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [1,2,3,5,6,7,8,4] => [7,1] => 1
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [1,4,5,6,7,8,2,3] => [6,2] => 2
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [1,2,4,5,6,7,8,3] => [7,1] => 1
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [1,3,4,5,6,7,8,2] => [7,1] => 1
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8] => [8] => 1
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [1,2,8,3,7,4,6,5] => [5,1,1,1] => 1
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [1,2,7,3,8,4,6,5] => [5,2,1] => 2
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [1,2,6,4,7,3,8,5] => [5,2,1] => 2
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [1,2,7,3,6,4,8,5] => [5,2,1] => 2
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [1,2,6,4,8,3,7,5] => [4,2,2] => 2
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [1,2,5,6,4,7,3,8] => [6,1,1] => 1
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [1,2,7,3,6,4,5,8] => [6,1,1] => 1
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [1,2,6,4,5,8,3,7] => [5,2,1] => 2
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [1,2,5,8,3,7,4,6] => [5,2,1] => 2
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [1,2,6,4,7,3,5,8] => [5,2,1] => 2
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [1,2,5,8,3,6,4,7] => [5,2,1] => 2
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [1,2,4,7,3,8,5,6] => [5,3] => 2
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [1,2,5,8,3,4,7,6] => [5,2,1] => 2
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [1,2,4,8,3,5,7,6] => [5,2,1] => 2
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [1,2,4,7,3,5,8,6] => [5,3] => 2
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [1,2,4,5,8,3,6,7] => [6,2] => 2
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [1,2,5,8,3,4,6,7] => [6,2] => 2
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [1,2,7,3,6,8,4,5] => [5,2,1] => 2
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [1,2,4,6,8,3,7,5] => [5,2,1] => 2
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,5,6,4,7,8,3,2] => [1,2,5,7,3,6,8,4] => [5,2,1] => 2
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => [1,2,5,7,3,4,6,8] => [6,2] => 2
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [1,2,4,6,8,3,5,7] => [5,3] => 2
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [1,2,3,8,4,7,5,6] => [6,1,1] => 1
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [1,2,3,7,4,8,5,6] => [6,2] => 2
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [1,2,3,6,5,7,4,8] => [6,1,1] => 1
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [1,2,3,6,5,8,4,7] => [5,2,1] => 2
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [1,2,3,5,7,4,8,6] => [6,2] => 2
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [1,2,3,5,8,4,7,6] => [5,2,1] => 2
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [1,2,3,5,8,4,6,7] => [6,2] => 2
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [1,2,3,6,8,4,7,5] => [5,2,1] => 2
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [1,2,3,5,6,8,4,7] => [6,2] => 2
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [1,2,3,6,8,4,5,7] => [6,2] => 2
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [1,2,3,5,7,4,6,8] => [6,2] => 2
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [1,2,4,8,3,5,7,6] => [5,2,1] => 2
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => [1,2,4,7,5,6,8,3] => [6,1,1] => 1
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [1,2,4,6,8,3,5,7] => [5,3] => 2
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [1,2,3,4,8,5,7,6] => [6,1,1] => 1
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [1,2,3,4,7,5,6,8] => [7,1] => 1
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [1,2,3,4,6,8,5,7] => [6,2] => 2
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [1,2,5,8,3,4,6,7] => [6,2] => 2
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [1,2,4,3,5,8,6,7] => [6,2] => 2
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [1,2,4,3,5,7,6,8] => [6,2] => 2
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,3,5,4,8,7,6,2] => [1,2,3,5,8,4,6,7] => [6,2] => 2
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [1,2,3,5,7,6,8,4] => [6,1,1] => 1
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [1,2,4,5,8,3,6,7] => [6,2] => 2
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [1,2,3,4,5,8,6,7] => [7,1] => 1
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [1,2,6,8,3,5,4,7] => [5,2,1] => 2
[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [1,2,4,6,8,3,5,7] => [5,3] => 2
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [1,2,3,6,8,4,5,7] => [6,2] => 2
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [1,2,4,6,8,3,5,7] => [5,3] => 2
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [1,2,4,3,5,6,8,7] => [6,2] => 2
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [1,2,7,8,3,6,4,5] => [5,2,1] => 2
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [1,2,6,3,7,8,4,5] => [5,3] => 2
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [1,2,6,3,5,4,7,8] => [6,1,1] => 1
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,5,6,7,4,3,8,2] => [1,2,5,4,7,8,3,6] => [5,2,1] => 2
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [1,2,4,5,7,8,3,6] => [6,2] => 2
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [1,2,5,7,8,3,4,6] => [5,3] => 2
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [1,2,4,6,3,5,7,8] => [6,2] => 2
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [1,2,3,5,6,4,7,8] => [7,1] => 1
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [1,2,3,6,4,5,7,8] => [7,1] => 1
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [1,2,3,5,7,8,4,6] => [6,2] => 2
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [1,2,3,4,7,8,5,6] => [6,2] => 2
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [1,2,3,5,7,8,4,6] => [6,2] => 2
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [1,2,3,4,5,7,8,6] => [7,1] => 1
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [1,2,5,3,4,6,7,8] => [7,1] => 1
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [1,2,3,4,6,7,8,5] => [7,1] => 1
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [1,2,5,6,7,8,3,4] => [6,2] => 2
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [1,2,3,5,6,7,8,4] => [7,1] => 1
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [1,2,4,5,6,7,8,3] => [7,1] => 1
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [1,2,3,4,5,6,7,8] => [8] => 1
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [1,2,3,8,4,7,5,6] => [6,1,1] => 1
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [1,2,3,7,4,8,5,6] => [6,2] => 2
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [1,2,3,6,5,7,4,8] => [6,1,1] => 1
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [1,2,3,7,4,6,5,8] => [6,1,1] => 1
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [1,2,3,6,5,8,4,7] => [5,2,1] => 2
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [1,2,3,5,7,4,8,6] => [6,2] => 2
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [1,2,3,5,8,4,7,6] => [5,2,1] => 2
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [1,2,3,6,7,4,5,8] => [6,2] => 2
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [1,2,3,5,8,4,6,7] => [6,2] => 2
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [1,2,3,7,4,6,8,5] => [6,1,1] => 1
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [1,2,3,6,8,4,7,5] => [5,2,1] => 2
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [1,2,3,5,6,8,4,7] => [6,2] => 2
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [1,2,3,6,8,4,5,7] => [6,2] => 2
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [1,2,3,5,7,4,6,8] => [6,2] => 2
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [1,2,3,4,8,5,7,6] => [6,1,1] => 1
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [1,2,3,4,7,5,8,6] => [6,2] => 2
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [1,2,3,4,6,7,5,8] => [7,1] => 1
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [2,1,4,7,6,8,5,3] => [1,2,3,4,7,5,6,8] => [7,1] => 1
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [1,2,3,4,6,8,5,7] => [6,2] => 2
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [1,2,3,5,8,4,6,7] => [6,2] => 2
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [1,2,3,5,7,6,8,4] => [6,1,1] => 1
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [1,2,3,4,5,8,6,7] => [7,1] => 1
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [1,2,3,6,8,4,5,7] => [6,2] => 2
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [1,2,3,5,4,6,8,7] => [6,2] => 2
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [1,2,3,4,6,8,5,7] => [6,2] => 2
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [1,2,3,5,6,8,4,7] => [6,2] => 2
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [1,2,3,7,8,4,6,5] => [5,2,1] => 2
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [1,2,3,6,4,7,8,5] => [6,2] => 2
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [1,2,3,5,6,4,7,8] => [7,1] => 1
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [1,2,3,6,4,5,7,8] => [7,1] => 1
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [1,2,3,5,7,8,4,6] => [6,2] => 2
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [1,2,3,4,7,8,5,6] => [6,2] => 2
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [1,2,3,5,7,8,4,6] => [6,2] => 2
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [1,2,3,5,6,7,8,4] => [7,1] => 1
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [1,2,3,8,4,7,5,6] => [6,1,1] => 1
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [1,2,3,7,4,8,5,6] => [6,2] => 2
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,2,7,6,8,5,4,3] => [1,2,3,7,4,6,5,8] => [6,1,1] => 1
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [1,2,3,6,5,8,4,7] => [5,2,1] => 2
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,2,5,8,7,6,4,3] => [1,2,3,5,7,4,8,6] => [6,2] => 2
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [1,2,3,6,7,4,5,8] => [6,2] => 2
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [1,2,3,5,8,4,6,7] => [6,2] => 2
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [1,2,3,7,4,6,8,5] => [6,1,1] => 1
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [1,2,3,5,6,8,4,7] => [6,2] => 2
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [1,2,3,6,8,4,5,7] => [6,2] => 2
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [1,2,3,5,7,4,6,8] => [6,2] => 2
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [1,2,3,4,8,5,7,6] => [6,1,1] => 1
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => [1,2,3,4,7,5,8,6] => [6,2] => 2
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [1,2,3,4,6,7,5,8] => [7,1] => 1
[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,2,4,7,6,8,5,3] => [1,2,3,4,7,5,6,8] => [7,1] => 1
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [1,2,3,4,6,8,5,7] => [6,2] => 2
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [1,2,3,5,8,4,6,7] => [6,2] => 2
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,2,5,4,7,8,6,3] => [1,2,3,5,7,6,8,4] => [6,1,1] => 1
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [1,2,3,4,5,8,6,7] => [7,1] => 1
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [1,2,3,6,8,4,5,7] => [6,2] => 2
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,2,4,6,5,8,7,3] => [1,2,3,4,6,8,5,7] => [6,2] => 2
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [1,2,3,5,6,8,4,7] => [6,2] => 2
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [1,2,3,7,8,4,6,5] => [5,2,1] => 2
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [1,2,3,5,6,4,7,8] => [7,1] => 1
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [1,2,3,5,7,8,4,6] => [6,2] => 2
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [1,2,3,4,7,8,5,6] => [6,2] => 2
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [1,2,3,5,7,8,4,6] => [6,2] => 2
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [1,2,3,6,7,8,4,5] => [6,2] => 2
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [1,2,4,6,5,7,8,3] => [1,2,3,4,6,7,8,5] => [7,1] => 1
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [1,2,3,5,6,7,8,4] => [7,1] => 1
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => [8] => 1
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [1,3,2,4,8,5,7,6] => [5,2,1] => 2
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [1,3,2,4,7,5,8,6] => [5,3] => 2
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [1,3,2,4,6,8,5,7] => [5,3] => 2
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [1,3,2,4,5,8,6,7] => [6,2] => 2
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [1,3,2,4,5,7,6,8] => [6,2] => 2
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [1,3,2,4,6,8,5,7] => [5,3] => 2
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [1,3,2,4,5,6,8,7] => [6,2] => 2
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [1,3,2,4,7,8,5,6] => [5,3] => 2
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [1,3,2,4,6,5,7,8] => [6,2] => 2
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [1,3,2,4,5,7,8,6] => [6,2] => 2
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [1,3,2,4,6,7,8,5] => [6,2] => 2
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [1,2,3,4,8,5,7,6] => [6,1,1] => 1
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [2,3,1,7,8,6,5,4] => [1,2,3,4,7,5,8,6] => [6,2] => 2
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [1,2,3,4,6,7,5,8] => [7,1] => 1
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [1,2,3,4,7,5,6,8] => [7,1] => 1
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => [6,2] => 2
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => [6,2] => 2
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [1,2,3,4,7,8,5,6] => [6,2] => 2
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [1,2,3,4,5,7,8,6] => [7,1] => 1
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [1,2,3,4,8,5,7,6] => [6,1,1] => 1
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [1,2,3,4,6,7,5,8] => [7,1] => 1
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [1,2,3,4,7,5,6,8] => [7,1] => 1
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => [6,2] => 2
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [1,2,3,4,5,8,6,7] => [7,1] => 1
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => [6,2] => 2
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [1,2,3,4,7,8,5,6] => [6,2] => 2
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [1,2,3,4,5,7,8,6] => [7,1] => 1
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [1,2,3,4,6,7,8,5] => [7,1] => 1
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [1,2,3,4,8,5,7,6] => [6,1,1] => 1
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [1,2,3,4,7,5,8,6] => [6,2] => 2
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [1,2,3,4,6,7,5,8] => [7,1] => 1
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => [6,2] => 2
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => [6,2] => 2
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [2,1,3,5,7,6,8,4] => [1,2,3,4,5,7,8,6] => [7,1] => 1
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [1,2,3,4,8,5,7,6] => [6,1,1] => 1
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [1,2,3,4,7,5,8,6] => [6,2] => 2
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [1,2,3,4,6,7,5,8] => [7,1] => 1
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [1,2,3,4,7,5,6,8] => [7,1] => 1
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => [6,2] => 2
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [1,2,3,4,5,8,6,7] => [7,1] => 1
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => [6,2] => 2
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [1,2,3,4,7,8,5,6] => [6,2] => 2
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [1,2,3,4,5,7,8,6] => [7,1] => 1
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [1,2,3,4,6,7,8,5] => [7,1] => 1
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => [8] => 1
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [1,4,2,3,5,8,6,7] => [6,2] => 2
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [1,4,2,3,5,7,6,8] => [6,2] => 2
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [1,4,2,3,5,6,8,7] => [6,2] => 2
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [1,4,2,3,5,7,8,6] => [6,2] => 2
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [1,4,2,3,5,6,7,8] => [7,1] => 1
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [1,3,2,4,5,8,6,7] => [6,2] => 2
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [1,3,2,4,5,7,6,8] => [6,2] => 2
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [1,3,2,4,5,6,8,7] => [6,2] => 2
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [1,3,2,4,5,7,8,6] => [6,2] => 2
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [1,2,4,3,5,8,6,7] => [6,2] => 2
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [1,2,4,3,5,7,6,8] => [6,2] => 2
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [1,2,4,3,5,6,8,7] => [6,2] => 2
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [1,2,4,3,5,7,8,6] => [6,2] => 2
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [1,3,4,2,5,8,6,7] => [6,2] => 2
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [1,3,4,2,5,7,6,8] => [6,2] => 2
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [1,3,4,2,5,6,8,7] => [6,2] => 2
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [1,3,4,2,5,7,8,6] => [6,2] => 2
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [1,2,3,4,5,8,6,7] => [7,1] => 1
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1] => 1
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [1,2,4,3,5,8,6,7] => [6,2] => 2
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [1,2,4,3,5,6,8,7] => [6,2] => 2
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [1,2,4,3,5,7,8,6] => [6,2] => 2
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [1,2,3,4,5,8,6,7] => [7,1] => 1
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1] => 1
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [1,2,3,4,5,8,6,7] => [7,1] => 1
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1] => 1
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [1,2,3,4,5,8,6,7] => [7,1] => 1
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1] => 1
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [1,3,2,4,5,8,6,7] => [6,2] => 2
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [1,3,2,4,5,7,6,8] => [6,2] => 2
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [1,3,2,4,5,6,8,7] => [6,2] => 2
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [1,3,2,4,5,7,8,6] => [6,2] => 2
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => [7,1] => 1
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1] => 1
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => [7,1] => 1
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1] => 1
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => [7,1] => 1
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1] => 1
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => [7,1] => 1
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1] => 1
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => [8] => 1
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [1,5,2,4,3,6,8,7] => [5,2,1] => 2
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [1,5,2,4,3,6,7,8] => [6,1,1] => 1
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [1,4,2,5,3,6,8,7] => [5,3] => 2
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [1,3,4,2,5,6,8,7] => [6,2] => 2
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [1,4,2,3,5,6,8,7] => [6,2] => 2
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [1,3,5,2,4,6,8,7] => [5,3] => 2
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [1,3,5,2,4,6,7,8] => [6,2] => 2
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [1,2,5,3,4,6,8,7] => [6,2] => 2
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [1,2,5,3,4,6,7,8] => [7,1] => 1
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [1,2,4,3,5,6,8,7] => [6,2] => 2
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [1,3,5,2,4,6,8,7] => [5,3] => 2
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [1,3,5,2,4,6,7,8] => [6,2] => 2
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [1,2,3,5,4,6,8,7] => [6,2] => 2
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [1,4,5,2,3,6,7,8] => [6,2] => 2
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [1,3,2,4,5,6,8,7] => [6,2] => 2
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [1,2,5,3,4,6,8,7] => [6,2] => 2
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [1,2,5,3,4,6,7,8] => [7,1] => 1
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [1,2,4,3,5,6,8,7] => [6,2] => 2
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6] => [1,2,3,5,4,6,8,7] => [6,2] => 2
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [1,2,3,5,4,6,8,7] => [6,2] => 2
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [1,4,2,3,5,6,8,7] => [6,2] => 2
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [1,4,2,3,5,6,7,8] => [7,1] => 1
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [3,4,2,1,5,8,7,6] => [1,3,2,4,5,6,8,7] => [6,2] => 2
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [1,2,4,3,5,6,8,7] => [6,2] => 2
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [1,3,4,2,5,6,8,7] => [6,2] => 2
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [1,2,4,3,5,6,8,7] => [6,2] => 2
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [1,3,2,4,5,6,8,7] => [6,2] => 2
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => [8] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [1,6,2,5,3,4,7,8] => [6,1,1] => 1
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [1,5,2,6,3,4,7,8] => [6,2] => 2
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [1,5,2,4,3,6,7,8] => [6,1,1] => 1
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [1,4,3,6,2,5,7,8] => [5,2,1] => 2
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [1,4,5,2,3,6,7,8] => [6,2] => 2
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [1,3,6,2,4,5,7,8] => [6,2] => 2
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [1,5,2,4,6,3,7,8] => [6,1,1] => 1
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [1,4,6,2,5,3,7,8] => [5,2,1] => 2
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [1,4,6,2,3,5,7,8] => [6,2] => 2
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7] => [1,3,5,2,4,6,7,8] => [6,2] => 2
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [1,2,6,3,5,4,7,8] => [6,1,1] => 1
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [1,2,5,3,6,4,7,8] => [6,2] => 2
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [1,3,6,2,4,5,7,8] => [6,2] => 2
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [1,2,3,6,4,5,7,8] => [7,1] => 1
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [1,4,6,2,3,5,7,8] => [6,2] => 2
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [1,3,2,4,6,5,7,8] => [6,2] => 2
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [1,2,4,6,3,5,7,8] => [6,2] => 2
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [1,4,2,3,5,6,7,8] => [7,1] => 1
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [1,3,5,6,2,4,7,8] => [6,2] => 2
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [1,2,5,6,3,4,7,8] => [6,2] => 2
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [1,3,5,6,2,4,7,8] => [6,2] => 2
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [1,4,5,6,2,3,7,8] => [6,2] => 2
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [1,2,4,5,6,3,7,8] => [7,1] => 1
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [1,2,6,3,5,4,7,8] => [6,1,1] => 1
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [1,2,5,3,6,4,7,8] => [6,2] => 2
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [1,2,5,3,4,6,7,8] => [7,1] => 1
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [1,2,3,6,4,5,7,8] => [7,1] => 1
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [1,2,3,6,4,5,7,8] => [7,1] => 1
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [1,2,3,5,6,4,7,8] => [7,1] => 1
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => [1,3,2,4,6,5,7,8] => [6,2] => 2
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [2,1,3,6,5,4,8,7] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [1,4,2,3,5,6,7,8] => [7,1] => 1
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [1,5,2,4,3,6,7,8] => [6,1,1] => 1
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [1,4,2,5,3,6,7,8] => [6,2] => 2
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [1,4,2,3,5,6,7,8] => [7,1] => 1
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [1,3,5,2,4,6,7,8] => [6,2] => 2
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [1,2,5,3,4,6,7,8] => [7,1] => 1
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [1,3,5,2,4,6,7,8] => [6,2] => 2
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [1,4,2,3,5,6,7,8] => [7,1] => 1
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [3,4,2,1,5,6,8,7] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => [8] => 1
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [1,7,2,6,3,5,4,8] => [5,1,1,1] => 1
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [1,6,2,7,3,5,4,8] => [5,2,1] => 2
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [1,6,2,5,3,7,4,8] => [5,2,1] => 2
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [1,5,3,7,2,6,4,8] => [4,2,2] => 2
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [1,4,5,3,6,2,7,8] => [6,1,1] => 1
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [1,5,3,7,2,4,6,8] => [5,2,1] => 2
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [1,4,6,2,5,3,7,8] => [5,2,1] => 2
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [1,6,2,5,3,4,7,8] => [6,1,1] => 1
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [1,5,3,4,7,2,6,8] => [5,2,1] => 2
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [1,4,7,2,6,3,5,8] => [5,2,1] => 2
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [1,5,3,6,2,4,7,8] => [5,2,1] => 2
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [1,4,7,2,5,3,6,8] => [5,2,1] => 2
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [1,3,7,2,5,4,6,8] => [5,2,1] => 2
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [1,3,7,2,4,6,5,8] => [5,2,1] => 2
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [1,5,6,2,4,7,3,8] => [5,2,1] => 2
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [4,5,3,7,6,2,1,8] => [1,4,7,2,5,6,3,8] => [5,2,1] => 2
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [1,3,4,7,2,5,6,8] => [6,2] => 2
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [4,3,5,7,6,2,1,8] => [1,4,7,2,3,5,6,8] => [6,2] => 2
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [1,6,2,5,7,3,4,8] => [5,2,1] => 2
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [1,5,7,2,4,3,6,8] => [5,2,1] => 2
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => [1,3,5,7,2,6,4,8] => [5,2,1] => 2
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => [1,4,5,7,2,3,6,8] => [5,3] => 2
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [1,3,5,7,2,4,6,8] => [5,3] => 2
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [1,2,7,3,6,4,5,8] => [6,1,1] => 1
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [1,2,6,3,7,4,5,8] => [6,2] => 2
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [1,2,5,6,3,4,7,8] => [6,2] => 2
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [1,2,5,7,3,4,6,8] => [6,2] => 2
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [1,2,4,6,3,5,7,8] => [6,2] => 2
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [1,3,7,2,4,6,5,8] => [5,2,1] => 2
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [1,3,6,4,7,2,5,8] => [5,2,1] => 2
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [1,3,5,7,2,4,6,8] => [5,3] => 2
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [1,2,3,7,4,6,5,8] => [6,1,1] => 1
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [1,2,3,6,4,7,5,8] => [6,2] => 2
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [1,2,3,5,6,4,7,8] => [7,1] => 1
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [1,2,3,6,4,5,7,8] => [7,1] => 1
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [1,2,3,5,7,4,6,8] => [6,2] => 2
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [1,4,6,5,7,2,3,8] => [5,2,1] => 2
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [1,3,2,4,6,5,7,8] => [6,2] => 2
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [1,2,3,4,7,5,6,8] => [7,1] => 1
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [1,5,7,2,4,3,6,8] => [5,2,1] => 2
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [1,3,4,2,5,7,6,8] => [6,2] => 2
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [1,4,2,3,5,7,6,8] => [6,2] => 2
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => [1,3,5,7,2,4,6,8] => [5,3] => 2
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [1,3,5,7,2,4,6,8] => [5,3] => 2
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [1,4,5,7,2,3,6,8] => [5,3] => 2
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [1,3,2,4,5,7,6,8] => [6,2] => 2
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [1,6,7,2,5,3,4,8] => [5,2,1] => 2
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [1,5,2,6,7,3,4,8] => [5,3] => 2
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [1,5,2,4,3,6,7,8] => [6,1,1] => 1
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [3,6,5,4,2,7,1,8] => [1,3,5,2,6,7,4,8] => [6,2] => 2
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [1,3,6,7,2,5,4,8] => [5,2,1] => 2
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [1,3,4,6,7,2,5,8] => [6,2] => 2
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [1,4,6,7,2,3,5,8] => [5,3] => 2
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [1,3,5,2,4,6,7,8] => [6,2] => 2
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [1,2,5,3,4,6,7,8] => [7,1] => 1
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => [1,4,6,7,2,3,5,8] => [5,3] => 2
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [1,2,3,4,6,7,5,8] => [7,1] => 1
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [1,5,6,7,2,4,3,8] => [5,2,1] => 2
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [1,3,5,6,7,2,4,8] => [6,2] => 2
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [2,4,5,3,6,7,1,8] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [1,2,3,5,6,7,4,8] => [7,1] => 1
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [1,4,5,6,7,2,3,8] => [6,2] => 2
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [2,4,3,5,6,7,1,8] => [1,2,4,5,6,7,3,8] => [7,1] => 1
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [1,3,4,5,6,7,2,8] => [7,1] => 1
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [1,2,7,3,6,4,5,8] => [6,1,1] => 1
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [1,2,6,3,7,4,5,8] => [6,2] => 2
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [1,2,6,3,5,4,7,8] => [6,1,1] => 1
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [1,2,5,6,3,4,7,8] => [6,2] => 2
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [1,2,4,5,7,3,6,8] => [6,2] => 2
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [1,2,5,7,3,4,6,8] => [6,2] => 2
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8] => [1,2,4,6,3,5,7,8] => [6,2] => 2
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [1,2,3,7,4,6,5,8] => [6,1,1] => 1
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [1,2,3,6,4,7,5,8] => [6,2] => 2
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [1,2,3,5,6,4,7,8] => [7,1] => 1
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [1,2,3,6,4,5,7,8] => [7,1] => 1
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [1,2,3,5,7,4,6,8] => [6,2] => 2
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [1,2,3,5,7,4,6,8] => [6,2] => 2
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [1,2,4,5,7,3,6,8] => [6,2] => 2
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [1,2,5,3,4,6,7,8] => [7,1] => 1
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [1,2,3,6,7,4,5,8] => [6,2] => 2
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [1,2,3,4,6,7,5,8] => [7,1] => 1
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,3,5,4,6,7,2,8] => [1,2,3,5,6,7,4,8] => [7,1] => 1
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [1,4,3,5,6,7,2,8] => [1,2,4,5,6,7,3,8] => [7,1] => 1
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [1,2,3,7,4,6,5,8] => [6,1,1] => 1
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [1,2,3,6,4,7,5,8] => [6,2] => 2
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => [1,2,3,5,7,4,6,8] => [6,2] => 2
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [2,1,5,4,6,7,3,8] => [1,2,3,5,6,7,4,8] => [7,1] => 1
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [1,2,3,7,4,6,5,8] => [6,1,1] => 1
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [1,2,3,6,4,7,5,8] => [6,2] => 2
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [1,2,3,5,6,4,7,8] => [7,1] => 1
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [1,2,3,5,7,4,6,8] => [6,2] => 2
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,2,4,6,5,7,3,8] => [1,2,3,4,6,7,5,8] => [7,1] => 1
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [1,2,3,5,6,7,4,8] => [7,1] => 1
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [1,3,2,4,6,5,7,8] => [6,2] => 2
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [1,3,2,4,5,7,6,8] => [6,2] => 2
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [1,2,3,4,6,7,5,8] => [7,1] => 1
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [1,2,3,4,7,5,6,8] => [7,1] => 1
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [1,2,3,4,6,7,5,8] => [7,1] => 1
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [1,2,3,4,7,5,6,8] => [7,1] => 1
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [1,2,3,4,6,7,5,8] => [7,1] => 1
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [1,4,2,3,5,7,6,8] => [6,2] => 2
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [1,4,2,3,5,6,7,8] => [7,1] => 1
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [1,3,4,2,5,7,6,8] => [6,2] => 2
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [1,2,4,3,5,7,6,8] => [6,2] => 2
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [2,1,4,3,6,7,5,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [1,3,2,4,5,7,6,8] => [6,2] => 2
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,3,2,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [2,1,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [1,5,2,4,3,6,7,8] => [6,1,1] => 1
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [1,4,2,5,3,6,7,8] => [6,2] => 2
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [1,3,5,2,4,6,7,8] => [6,2] => 2
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [1,2,5,3,4,6,7,8] => [7,1] => 1
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [1,3,5,2,4,6,7,8] => [6,2] => 2
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [1,2,5,3,4,6,7,8] => [7,1] => 1
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [1,4,2,3,5,6,7,8] => [7,1] => 1
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [1,6,2,5,3,4,7,8] => [6,1,1] => 1
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [1,5,2,6,3,4,7,8] => [6,2] => 2
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [1,5,2,4,3,6,7,8] => [6,1,1] => 1
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [1,4,3,6,2,5,7,8] => [5,2,1] => 2
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [4,3,6,5,2,1,7,8] => [1,4,5,2,3,6,7,8] => [6,2] => 2
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [1,5,2,4,6,3,7,8] => [6,1,1] => 1
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [1,3,5,2,4,6,7,8] => [6,2] => 2
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8] => [1,2,4,6,3,5,7,8] => [6,2] => 2
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [2,3,6,5,4,1,7,8] => [1,2,3,6,4,5,7,8] => [7,1] => 1
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [1,4,6,2,3,5,7,8] => [6,2] => 2
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [1,2,4,6,3,5,7,8] => [6,2] => 2
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [1,4,2,3,5,6,7,8] => [7,1] => 1
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [1,3,5,6,2,4,7,8] => [6,2] => 2
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [1,2,3,5,6,4,7,8] => [7,1] => 1
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [1,4,5,6,2,3,7,8] => [6,2] => 2
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [1,3,4,5,6,2,7,8] => [7,1] => 1
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [1,2,6,3,5,4,7,8] => [6,1,1] => 1
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [1,2,5,3,6,4,7,8] => [6,2] => 2
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [1,2,5,3,4,6,7,8] => [7,1] => 1
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,4,5,6,3,2,7,8] => [1,2,4,6,3,5,7,8] => [6,2] => 2
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [1,2,4,6,3,5,7,8] => [6,2] => 2
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [1,2,5,6,3,4,7,8] => [6,2] => 2
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,3,5,4,6,2,7,8] => [1,2,3,5,6,4,7,8] => [7,1] => 1
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => [1,2,4,5,6,3,7,8] => [7,1] => 1
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [1,2,3,6,4,5,7,8] => [7,1] => 1
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [1,3,2,4,6,5,7,8] => [6,2] => 2
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [1,4,2,3,5,6,7,8] => [7,1] => 1
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [1,5,2,4,3,6,7,8] => [6,1,1] => 1
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [1,4,2,5,3,6,7,8] => [6,2] => 2
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [1,4,2,3,5,6,7,8] => [7,1] => 1
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [1,3,5,2,4,6,7,8] => [6,2] => 2
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [1,2,5,3,4,6,7,8] => [7,1] => 1
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [1,3,5,2,4,6,7,8] => [6,2] => 2
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [1,4,5,2,3,6,7,8] => [6,2] => 2
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [1,3,4,5,2,6,7,8] => [7,1] => 1
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [1,2,5,3,4,6,7,8] => [7,1] => 1
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [1,4,2,3,5,6,7,8] => [7,1] => 1
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 1
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [2,1,4,6,5,3,8,7,10,9] => [1,2,3,4,6,5,7,8,9,10] => [9,1] => 1
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [1,3,4,5,6,7,8,9,2] => [8,1] => 1
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,10,11] => [11] => 1
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [2,3,1,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [2,4,3,5,6,7,8,9,1] => [1,2,4,5,6,7,8,9,3] => [8,1] => 1
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [1,3,2,4,5,6,7,8,9] => [8,1] => 1
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [1,3,4,5,6,7,8,9,10,2] => [9,1] => 1
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [1,2,3,4,5,6,7,8,9,10,11] => [11] => 1
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,7,9,8] => [8,1] => 1
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,6,8,9,7] => [8,1] => 1
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,4,7,6,8,9,5] => [1,2,3,4,5,7,8,9,6] => [8,1] => 1
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,2,3,6,5,7,8,9,4] => [1,2,3,4,6,7,8,9,5] => [8,1] => 1
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [1,2,5,4,6,7,8,9,3] => [1,2,3,5,6,7,8,9,4] => [8,1] => 1
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [1,2,4,5,6,7,8,9,3] => [8,1] => 1
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,6,5,9,8,10,7] => [1,2,3,4,5,6,7,9,10,8] => [9,1] => 1
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,4,3,7,6,8,5,10,9] => [1,2,3,4,5,7,8,6,9,10] => [9,1] => 1
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7,10,9] => [1,3,4,2,5,6,7,8,9,10] => [9,1] => 1
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5,11,10,12,9] => [1,3,4,2,5,7,8,6,9,11,12,10] => [9,3] => 2
[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [3,4,2,1,9,8,7,6,5] => [1,3,2,4,5,9,6,8,7] => [6,2,1] => 2
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [1,4,2,3,5,6,7,8,9] => [8,1] => 1
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [8,1] => 1
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [8,1] => 1
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [9,1] => 1
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7,10,9] => [1,2,4,3,5,6,7,8,9,10] => [9,1] => 1
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,3,6,8,7,5,10,9] => [1,2,3,4,5,6,8,7,9,10] => [9,1] => 1
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,10,9,7] => [1,2,3,4,5,6,7,8,10,9] => [9,1] => 1
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [1,2,3,4,5,6,7,9,8] => [8,1] => 1
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [11] => 1
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [2,1,3,4,5,6,8,7,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [2,1,3,4,5,6,8,9,7] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [2,3,4,5,6,8,9,7,1] => [1,2,3,4,5,6,8,7,9] => [8,1] => 1
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [1,2,3,4,5,6,7,8,10,9] => [9,1] => 1
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [3,2,1,5,4,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [8,1] => 1
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [8,1] => 1
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [2,3,5,4,1,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => [8,1] => 1
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [2,3,4,6,5,1,7,8,9] => [1,2,3,4,6,5,7,8,9] => [8,1] => 1
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [2,3,4,5,7,6,1,8,9] => [1,2,3,4,5,7,6,8,9] => [8,1] => 1
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [2,3,4,5,6,8,7,1,9] => [1,2,3,4,5,6,8,7,9] => [8,1] => 1
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [1,2,3,4,5,6,7,9,8] => [8,1] => 1
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,1] => [1,4,5,6,7,8,9,2,3] => [7,2] => 2
[.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,10,1] => [1,4,5,6,7,8,9,10,2,3] => [8,2] => 2
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [11] => 1
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [1,3,4,5,2,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [1,2,4,5,3,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [2,1,4,5,3,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [1,3,2,5,4,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,8,10,9] => [9,1] => 1
[[.,[.,[.,[.,.]]]],[[[[.,.],.],.],.]] => [4,3,2,1,6,7,8,9,5] => [1,4,2,3,5,6,7,8,9] => [8,1] => 1
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [1,2,3,4,5,6,9,7,8] => [8,1] => 1
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [1,2,3,4,5,9,6,8,7] => [7,1,1] => 1
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [1,2,3,4,5,6,7,10,8,9] => [9,1] => 1
[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,4,6,5,9,8,7] => [1,2,3,4,5,6,7,9,8] => [8,1] => 1
[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,3,5,4,9,8,7,6] => [1,2,3,4,5,6,9,7,8] => [8,1] => 1
[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,2,4,3,9,8,7,6,5] => [1,2,3,4,5,9,6,8,7] => [7,1,1] => 1
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9] => [1,2,3,4,5,6,7,8,9,10] => [10] => 1
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [8,1] => 1
[[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [11] => 1
[[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [9,1] => 1
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.] => [3,4,2,5,1,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [8,1] => 1
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [2,3,1,5,4,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [1,3,4,5,6,7,8,2,9] => [8,1] => 1
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9] => 1
[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,8,10,9,11] => [1,2,3,4,5,6,7,8,9,10,11] => [11] => 1
[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]] => [2,1,3,5,6,7,8,9,4] => [1,2,3,4,5,6,7,8,9] => [9] => 1
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Generating function
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Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
38,4 100,32 253,176
$F_{1} = q$
$F_{2} = 2\ q$
$F_{3} = 5\ q$
$F_{4} = 14\ q$
$F_{5} = 38\ q + 4\ q^{2}$
$F_{6} = 100\ q + 32\ q^{2}$
$F_{7} = 253\ q + 176\ q^{2}$
Description
The side length of the Durfee square of an integer partition.
Given a partition $\lambda = (\lambda_1,\ldots,\lambda_n)$, the Durfee square is the largest partition $(s^s)$ whose diagram fits inside the diagram of $\lambda$. In symbols, $s = \max\{ i \mid \lambda_i \geq i \}$.
This is also known as the Frobenius rank.
Given a partition $\lambda = (\lambda_1,\ldots,\lambda_n)$, the Durfee square is the largest partition $(s^s)$ whose diagram fits inside the diagram of $\lambda$. In symbols, $s = \max\{ i \mid \lambda_i \geq i \}$.
This is also known as the Frobenius rank.
Map
Robinson-Schensted tableau shape
Description
Sends a permutation to its Robinson-Schensted tableau shape.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to the shape of its corresponding insertion and recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to the shape of its corresponding insertion and recording tableau.
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
to 312-avoiding permutation
Description
Return a 312-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 minimal element of this 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 minimal element of this Sylvester class.
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