Identifier
-
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00108: Permutations —cycle type⟶ Integer partitions
Mp00202: Integer partitions —first row removal⟶ Integer partitions
St000620: Integer partitions ⟶ ℤ
Values
[[[.,.],.],.] => [1,2,3] => [1,1,1] => [1,1] => 1
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [2,2] => [2] => 0
[[.,.],[.,[.,.]]] => [1,4,3,2] => [2,1,1] => [1,1] => 1
[[.,[.,.]],[.,.]] => [2,1,4,3] => [2,2] => [2] => 0
[[[.,.],.],[.,.]] => [1,2,4,3] => [2,1,1] => [1,1] => 1
[[.,[.,[.,.]]],.] => [3,2,1,4] => [2,1,1] => [1,1] => 1
[[[.,.],[.,.]],.] => [1,3,2,4] => [2,1,1] => [1,1] => 1
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,1] => [1,1] => 1
[[[[.,.],.],.],.] => [1,2,3,4] => [1,1,1,1] => [1,1,1] => 1
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [2,2,1] => [2,1] => 1
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [3,2] => [2] => 0
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [3,2] => [2] => 0
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [3,1,1] => [1,1] => 1
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [3,2] => [2] => 0
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [2,2,1] => [2,1] => 1
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [3,1,1] => [1,1] => 1
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [3,1,1] => [1,1] => 1
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [2,2,1] => [2,1] => 1
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [3,2] => [2] => 0
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [2,1,1,1] => [1,1,1] => 1
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [3,1,1] => [1,1] => 1
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [2,2,1] => [2,1] => 1
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [3,2] => [2] => 0
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [2,2,1] => [2,1] => 1
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [2,2,1] => [2,1] => 1
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [2,1,1,1] => [1,1,1] => 1
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [2,2,1] => [2,1] => 1
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [3,1,1] => [1,1] => 1
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [3,1,1] => [1,1] => 1
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [2,1,1,1] => [1,1,1] => 1
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [3,1,1] => [1,1] => 1
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [2,2,1] => [2,1] => 1
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [2,1,1,1] => [1,1,1] => 1
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [2,1,1,1] => [1,1,1] => 1
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,1,1] => [1,1] => 1
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [2,1,1,1] => [1,1,1] => 1
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,1,1] => [1,1,1] => 1
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,1,1,1,1] => [1,1,1,1] => 1
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [2,2,2] => [2,2] => 1
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [4,2] => [2] => 0
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [4,2] => [2] => 0
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [3,2,1] => [2,1] => 1
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [3,3] => [3] => 1
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [3,2,1] => [2,1] => 1
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [4,2] => [2] => 0
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [3,3] => [3] => 1
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [3,2,1] => [2,1] => 1
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [4,2] => [2] => 0
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [3,2,1] => [2,1] => 1
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [4,2] => [2] => 0
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [3,2,1] => [2,1] => 1
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [4,1,1] => [1,1] => 1
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [4,1,1] => [1,1] => 1
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [3,2,1] => [2,1] => 1
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [4,2] => [2] => 0
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [4,2] => [2] => 0
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [4,1,1] => [1,1] => 1
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [4,2] => [2] => 0
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [2,2,1,1] => [2,1,1] => 2
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [4,1,1] => [1,1] => 1
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [3,2,1] => [2,1] => 1
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [3,2,1] => [2,1] => 1
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [3,1,1,1] => [1,1,1] => 1
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [4,1,1] => [1,1] => 1
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [3,2,1] => [2,1] => 1
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [4,1,1] => [1,1] => 1
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [4,1,1] => [1,1] => 1
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [2,2,2] => [2,2] => 1
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [4,2] => [2] => 0
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [3,2,1] => [2,1] => 1
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [3,2,1] => [2,1] => 1
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [4,2] => [2] => 0
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [2,2,1,1] => [2,1,1] => 2
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [4,1,1] => [1,1] => 1
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [3,1,1,1] => [1,1,1] => 1
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [3,1,1,1] => [1,1,1] => 1
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [4,1,1] => [1,1] => 1
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [2,2,1,1] => [2,1,1] => 2
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [3,2,1] => [2,1] => 1
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [3,2,1] => [2,1] => 1
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [3,3] => [3] => 1
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [2,2,1,1] => [2,1,1] => 2
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [3,2,1] => [2,1] => 1
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [2,2,1,1] => [2,1,1] => 2
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [3,2,1] => [2,1] => 1
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [2,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [3,1,1,1] => [1,1,1] => 1
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [2,2,2] => [2,2] => 1
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [4,2] => [2] => 0
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [3,2,1] => [2,1] => 1
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [3,2,1] => [2,1] => 1
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [4,2] => [2] => 0
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [2,2,1,1] => [2,1,1] => 2
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [3,2,1] => [2,1] => 1
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [2,2,2] => [2,2] => 1
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [2,2,1,1] => [2,1,1] => 2
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [2,2,1,1] => [2,1,1] => 2
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [3,2,1] => [2,1] => 1
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [2,2,1,1] => [2,1,1] => 2
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [2,2,1,1] => [2,1,1] => 2
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [2,1,1,1,1] => [1,1,1,1] => 1
>>> Load all 1668 entries. <<<[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [2,2,1,1] => [2,1,1] => 2
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [4,1,1] => [1,1] => 1
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [3,2,1] => [2,1] => 1
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [3,2,1] => [2,1] => 1
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [3,1,1,1] => [1,1,1] => 1
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [4,1,1] => [1,1] => 1
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [3,2,1] => [2,1] => 1
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [4,1,1] => [1,1] => 1
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [4,1,1] => [1,1] => 1
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [2,2,1,1] => [2,1,1] => 2
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [4,1,1] => [1,1] => 1
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [3,1,1,1] => [1,1,1] => 1
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [3,1,1,1] => [1,1,1] => 1
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [4,1,1] => [1,1] => 1
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [2,2,1,1] => [2,1,1] => 2
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [3,2,1] => [2,1] => 1
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [2,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [3,1,1,1] => [1,1,1] => 1
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [2,2,1,1] => [2,1,1] => 2
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [3,2,1] => [2,1] => 1
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [2,2,1,1] => [2,1,1] => 2
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [2,2,1,1] => [2,1,1] => 2
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [2,1,1,1,1] => [1,1,1,1] => 1
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [2,2,1,1] => [2,1,1] => 2
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [4,1,1] => [1,1] => 1
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [3,1,1,1] => [1,1,1] => 1
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [3,1,1,1] => [1,1,1] => 1
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [4,1,1] => [1,1] => 1
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [2,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [3,1,1,1] => [1,1,1] => 1
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [2,2,1,1] => [2,1,1] => 2
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [2,1,1,1,1] => [1,1,1,1] => 1
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [2,1,1,1,1] => [1,1,1,1] => 1
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,1,1,1] => [1,1,1] => 1
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [2,1,1,1,1] => [1,1,1,1] => 1
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,1,1,1] => [1,1,1,1] => 1
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [2,2,2,1] => [2,2,1] => 3
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [4,2,1] => [2,1] => 1
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [4,2,1] => [2,1] => 1
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [5,2] => [2] => 0
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [4,3] => [3] => 1
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [5,2] => [2] => 0
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [3,2,2] => [2,2] => 1
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [4,3] => [3] => 1
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [5,2] => [2] => 0
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [3,2,2] => [2,2] => 1
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [4,3] => [3] => 1
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [5,2] => [2] => 0
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [3,3,1] => [3,1] => 2
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [3,3,1] => [3,1] => 2
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [3,3,1] => [3,1] => 2
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [4,3] => [3] => 1
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [4,3] => [3] => 1
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [5,2] => [2] => 0
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [3,2,2] => [2,2] => 1
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [5,2] => [2] => 0
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [4,3] => [3] => 1
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [4,2,1] => [2,1] => 1
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [4,3] => [3] => 1
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [3,3,1] => [3,1] => 2
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [4,3] => [3] => 1
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [3,2,2] => [2,2] => 1
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [5,2] => [2] => 0
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [5,2] => [2] => 0
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,2,1] => [2,1] => 1
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,3] => [3] => 1
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [4,2,1] => [2,1] => 1
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [5,2] => [2] => 0
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [4,3] => [3] => 1
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [3,2,1,1] => [2,1,1] => 2
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [5,1,1] => [1,1] => 1
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [4,2,1] => [2,1] => 1
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [4,2,1] => [2,1] => 1
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [5,2] => [2] => 0
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [3,2,2] => [2,2] => 1
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [5,2] => [2] => 0
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [5,2] => [2] => 0
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => [2,1] => 1
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [4,2,1] => [2,1] => 1
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [5,2] => [2] => 0
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [3,2,1,1] => [2,1,1] => 2
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [5,1,1] => [1,1] => 1
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [4,2,1] => [2,1] => 1
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => [2,1] => 1
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [4,1,1,1] => [1,1,1] => 1
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [5,1,1] => [1,1] => 1
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [4,2,1] => [2,1] => 1
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [5,1,1] => [1,1] => 1
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [5,1,1] => [1,1] => 1
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [3,2,2] => [2,2] => 1
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [5,2] => [2] => 0
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [5,2] => [2] => 0
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [4,2,1] => [2,1] => 1
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [4,3] => [3] => 1
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [4,2,1] => [2,1] => 1
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [5,2] => [2] => 0
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [4,3] => [3] => 1
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [4,2,1] => [2,1] => 1
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [5,2] => [2] => 0
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [4,2,1] => [2,1] => 1
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [5,2] => [2] => 0
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [4,2,1] => [2,1] => 1
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [5,1,1] => [1,1] => 1
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [5,1,1] => [1,1] => 1
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [4,2,1] => [2,1] => 1
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [5,2] => [2] => 0
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [5,2] => [2] => 0
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [5,1,1] => [1,1] => 1
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [5,2] => [2] => 0
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [2,2,2,1] => [2,2,1] => 3
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [4,2,1] => [2,1] => 1
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [4,2,1] => [2,1] => 1
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => [1,1] => 1
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [3,2,1,1] => [2,1,1] => 2
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [3,3,1] => [3,1] => 2
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [5,1,1] => [1,1] => 1
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [3,2,1,1] => [2,1,1] => 2
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,2,1] => [2,1] => 1
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [3,3,1] => [3,1] => 2
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [3,2,1,1] => [2,1,1] => 2
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [5,1,1] => [1,1] => 1
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [4,2,1] => [2,1] => 1
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [3,2,1,1] => [2,1,1] => 2
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [5,1,1] => [1,1] => 1
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,2,1] => [2,1] => 1
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [3,2,1,1] => [2,1,1] => 2
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [5,1,1] => [1,1] => 1
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [4,1,1,1] => [1,1,1] => 1
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [4,1,1,1] => [1,1,1] => 1
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [5,1,1] => [1,1] => 1
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [3,2,1,1] => [2,1,1] => 2
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [5,1,1] => [1,1] => 1
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [4,2,1] => [2,1] => 1
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,2,1] => [2,1] => 1
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [4,1,1,1] => [1,1,1] => 1
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [5,1,1] => [1,1] => 1
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [4,2,1] => [2,1] => 1
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [5,1,1] => [1,1] => 1
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [5,1,1] => [1,1] => 1
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [2,2,2,1] => [2,2,1] => 3
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => [2,1] => 1
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [5,2] => [2] => 0
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [5,2] => [2] => 0
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,2] => [2,2] => 1
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [3,2,2] => [2,2] => 1
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [5,2] => [2] => 0
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,1,1] => [2,1,1] => 2
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [4,2,1] => [2,1] => 1
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [3,2,2] => [2,2] => 1
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [5,2] => [2] => 0
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [4,2,1] => [2,1] => 1
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [4,2,1] => [2,1] => 1
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [5,2] => [2] => 0
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => [1,1,1] => 1
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [5,1,1] => [1,1] => 1
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [5,1,1] => [1,1] => 1
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,2,1,1] => [2,1,1] => 2
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [3,2,1,1] => [2,1,1] => 2
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [5,1,1] => [1,1] => 1
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,1,1,1,1] => [1,1,1,1] => 1
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [4,1,1,1] => [1,1,1] => 1
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [3,2,1,1] => [2,1,1] => 2
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [5,1,1] => [1,1] => 1
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [4,1,1,1] => [1,1,1] => 1
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [4,1,1,1] => [1,1,1] => 1
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [5,1,1] => [1,1] => 1
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [2,2,2,1] => [2,2,1] => 3
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [4,2,1] => [2,1] => 1
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,2,1,1] => [2,1,1] => 2
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,2,1,1] => [2,1,1] => 2
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [4,2,1] => [2,1] => 1
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [3,2,2] => [2,2] => 1
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [4,3] => [3] => 1
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,3,1] => [3,1] => 2
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,3,1] => [3,1] => 2
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [4,3] => [3] => 1
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [2,2,2,1] => [2,2,1] => 3
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [4,2,1] => [2,1] => 1
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => [2,1,1] => 2
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => [2,1,1] => 2
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [4,2,1] => [2,1] => 1
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [2,2,2,1] => [2,2,1] => 3
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [4,2,1] => [2,1] => 1
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => [2,1,1] => 2
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => [2,1,1] => 2
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [4,2,1] => [2,1] => 1
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [4,1,1,1] => [1,1,1] => 1
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [4,1,1,1] => [1,1,1] => 1
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [2,2,2,1] => [2,2,1] => 3
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [3,2,2] => [2,2] => 1
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [4,2,1] => [2,1] => 1
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [4,3] => [3] => 1
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,2,1,1] => [2,1,1] => 2
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,3,1] => [3,1] => 2
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,2,1,1] => [2,1,1] => 2
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,3,1] => [3,1] => 2
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [4,2,1] => [2,1] => 1
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [4,3] => [3] => 1
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => [2,1,1] => 2
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => [2,1,1] => 2
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [3,3,1] => [3,1] => 2
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [2,2,2,1] => [2,2,1] => 3
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [3,2,2] => [2,2] => 1
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [3,2,1,1] => [2,1,1] => 2
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => [2,1,1] => 2
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => [2,1,1] => 2
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [3,3,1] => [3,1] => 2
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [3,2,1,1] => [2,1,1] => 2
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [3,2,1,1] => [2,1,1] => 2
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [3,1,1,1,1] => [1,1,1,1] => 1
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [2,2,2,1] => [2,2,1] => 3
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [4,2,1] => [2,1] => 1
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [5,2] => [2] => 0
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [5,2] => [2] => 0
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [3,2,2] => [2,2] => 1
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [3,2,2] => [2,2] => 1
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [5,2] => [2] => 0
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,1,1] => [2,1,1] => 2
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [4,2,1] => [2,1] => 1
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [3,2,2] => [2,2] => 1
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [5,2] => [2] => 0
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [4,2,1] => [2,1] => 1
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [4,2,1] => [2,1] => 1
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [5,2] => [2] => 0
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [2,2,2,1] => [2,2,1] => 3
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [4,2,1] => [2,1] => 1
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => [2,1,1] => 2
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => [2,1,1] => 2
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [4,2,1] => [2,1] => 1
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [2,2,2,1] => [2,2,1] => 3
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [3,2,2] => [2,2] => 1
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [3,2,1,1] => [2,1,1] => 2
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [2,2,2,1] => [2,2,1] => 3
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [3,2,2] => [2,2] => 1
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => [2,2,1] => 3
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => [2,2,1] => 3
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [2,2,2,1] => [2,2,1] => 3
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [4,2,1] => [2,1] => 1
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,1,1] => [2,1,1] => 2
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [3,2,1,1] => [2,1,1] => 2
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [4,2,1] => [2,1] => 1
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [3,2,1,1] => [2,1,1] => 2
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => [2,2,1] => 3
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [3,2,1,1] => [2,1,1] => 2
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [2,2,2,1] => [2,2,1] => 3
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [4,2,1] => [2,1] => 1
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [4,2,1] => [2,1] => 1
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [5,1,1] => [1,1] => 1
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [3,2,1,1] => [2,1,1] => 2
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [3,3,1] => [3,1] => 2
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [5,1,1] => [1,1] => 1
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [3,2,1,1] => [2,1,1] => 2
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [4,2,1] => [2,1] => 1
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [3,3,1] => [3,1] => 2
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [3,2,1,1] => [2,1,1] => 2
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [5,1,1] => [1,1] => 1
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [4,2,1] => [2,1] => 1
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [3,2,1,1] => [2,1,1] => 2
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [5,1,1] => [1,1] => 1
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [4,2,1] => [2,1] => 1
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [3,2,1,1] => [2,1,1] => 2
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [5,1,1] => [1,1] => 1
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [4,1,1,1] => [1,1,1] => 1
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [4,1,1,1] => [1,1,1] => 1
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [5,1,1] => [1,1] => 1
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [3,2,1,1] => [2,1,1] => 2
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [5,1,1] => [1,1] => 1
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [4,2,1] => [2,1] => 1
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [4,2,1] => [2,1] => 1
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [4,1,1,1] => [1,1,1] => 1
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [5,1,1] => [1,1] => 1
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [4,2,1] => [2,1] => 1
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [5,1,1] => [1,1] => 1
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [5,1,1] => [1,1] => 1
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [4,1,1,1] => [1,1,1] => 1
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [5,1,1] => [1,1] => 1
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [5,1,1] => [1,1] => 1
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [3,2,1,1] => [2,1,1] => 2
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [3,2,1,1] => [2,1,1] => 2
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [5,1,1] => [1,1] => 1
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,1,1,1,1] => [1,1,1,1] => 1
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [4,1,1,1] => [1,1,1] => 1
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [3,2,1,1] => [2,1,1] => 2
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [5,1,1] => [1,1] => 1
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [4,1,1,1] => [1,1,1] => 1
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [4,1,1,1] => [1,1,1] => 1
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [5,1,1] => [1,1] => 1
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [2,2,2,1] => [2,2,1] => 3
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [4,2,1] => [2,1] => 1
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => [2,1,1] => 2
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [3,2,1,1] => [2,1,1] => 2
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [4,2,1] => [2,1] => 1
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [4,1,1,1] => [1,1,1] => 1
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [4,1,1,1] => [1,1,1] => 1
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,1] => [2,1,1] => 2
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,1] => [2,1,1] => 2
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [3,3,1] => [3,1] => 2
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [3,2,1,1] => [2,1,1] => 2
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [3,2,1,1] => [2,1,1] => 2
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [3,1,1,1,1] => [1,1,1,1] => 1
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [2,2,2,1] => [2,2,1] => 3
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [4,2,1] => [2,1] => 1
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,2,1,1] => [2,1,1] => 2
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [3,2,1,1] => [2,1,1] => 2
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [4,2,1] => [2,1] => 1
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [3,2,1,1] => [2,1,1] => 2
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => [2,2,1] => 3
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [3,2,1,1] => [2,1,1] => 2
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [4,1,1,1] => [1,1,1] => 1
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [5,1,1] => [1,1] => 1
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [5,1,1] => [1,1] => 1
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [3,2,1,1] => [2,1,1] => 2
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [3,2,1,1] => [2,1,1] => 2
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [5,1,1] => [1,1] => 1
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [3,1,1,1,1] => [1,1,1,1] => 1
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [4,1,1,1] => [1,1,1] => 1
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [3,2,1,1] => [2,1,1] => 2
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,1,1] => [1,1] => 1
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [4,1,1,1] => [1,1,1] => 1
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [4,1,1,1] => [1,1,1] => 1
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [5,1,1] => [1,1] => 1
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [4,1,1,1] => [1,1,1] => 1
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [3,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [3,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [4,1,1,1] => [1,1,1] => 1
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [3,2,1,1] => [2,1,1] => 2
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [3,1,1,1,1] => [1,1,1,1] => 1
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [3,2,1,1] => [2,1,1] => 2
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [4,1,1,1] => [1,1,1] => 1
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [3,1,1,1,1] => [1,1,1,1] => 1
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [3,1,1,1,1] => [1,1,1,1] => 1
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [4,1,1,1] => [1,1,1] => 1
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [3,1,1,1,1] => [1,1,1,1] => 1
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [2,2,1,1,1] => [2,1,1,1] => 3
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,1,1,1,1] => [1,1,1,1] => 1
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [2,2,2,2] => [2,2,2] => 3
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [4,2,2] => [2,2] => 1
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [6,2] => [2] => 0
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [6,2] => [2] => 0
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [4,2,2] => [2,2] => 1
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [6,2] => [2] => 0
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [4,4] => [4] => 0
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [6,2] => [2] => 0
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [4,2,2] => [2,2] => 1
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [4,4] => [4] => 0
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [5,2,1] => [2,1] => 1
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [5,3] => [3] => 1
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [3,3,2] => [3,2] => 3
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [5,2,1] => [2,1] => 1
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => [3,2,2,1] => [2,2,1] => 3
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [4,3,1] => [3,1] => 2
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [4,2,2] => [2,2] => 1
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [4,4] => [4] => 0
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [5,3] => [3] => 1
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [5,3] => [3] => 1
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [3,3,2] => [3,2] => 3
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [6,2] => [2] => 0
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [5,2,1] => [2,1] => 1
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [3,2,2,1] => [2,2,1] => 3
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [4,3,1] => [3,1] => 2
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [5,2,1] => [2,1] => 1
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [5,3] => [3] => 1
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [5,3] => [3] => 1
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [6,2] => [2] => 0
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [6,2] => [2] => 0
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [4,3,7,8,6,5,2,1] => [3,3,2] => [3,2] => 3
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [3,3,2] => [3,2] => 3
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [5,3] => [3] => 1
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [6,1,1] => [1,1] => 1
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [3,3,1,1] => [3,1,1] => 4
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [6,2] => [2] => 0
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => [3,3,2] => [3,2] => 3
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [3,6,5,4,8,7,2,1] => [4,3,1] => [3,1] => 2
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [4,4] => [4] => 0
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [4,3,1] => [3,1] => 2
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [4,4] => [4] => 0
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [5,2,1] => [2,1] => 1
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [3,2,2,1] => [2,2,1] => 3
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [5,2,1] => [2,1] => 1
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [4,3,1] => [3,1] => 2
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [4,7,6,5,3,8,2,1] => [6,2] => [2] => 0
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [5,3] => [3] => 1
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [5,3] => [3] => 1
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [4,2,2] => [2,2] => 1
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [4,3,1] => [3,1] => 2
[.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1] => [4,3,1] => [3,1] => 2
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [3,3,2] => [3,2] => 3
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => [4,4] => [4] => 0
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [4,4] => [4] => 0
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [3,2,2,1] => [2,2,1] => 3
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [5,2,1] => [2,1] => 1
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [5,2,1] => [2,1] => 1
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [6,2] => [2] => 0
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [4,4] => [4] => 0
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,2] => [2] => 0
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [4,2,2] => [2,2] => 1
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [4,4] => [4] => 0
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,3,1] => [3,1] => 2
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,3,1] => [3,1] => 2
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [5,3] => [3] => 1
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [6,2] => [2] => 0
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [5,2,1] => [2,1] => 1
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [5,3] => [3] => 1
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [5,3] => [3] => 1
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [3,2,2,1] => [2,2,1] => 3
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [3,2,7,8,6,5,4,1] => [5,2,1] => [2,1] => 1
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [5,2,1] => [2,1] => 1
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [4,2,2] => [2,2] => 1
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [6,2] => [2] => 0
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [5,2,1] => [2,1] => 1
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [5,3] => [3] => 1
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [3,2,2,1] => [2,2,1] => 3
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [5,2,1] => [2,1] => 1
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [5,2,1] => [2,1] => 1
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [4,2,1,1] => [2,1,1] => 2
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,2,1] => [2,1] => 1
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [6,2] => [2] => 0
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [3,2,2,1] => [2,2,1] => 3
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [5,2,1] => [2,1] => 1
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [6,2] => [2] => 0
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,2,2] => [2,2] => 1
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [6,2] => [2] => 0
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [6,2] => [2] => 0
[.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [5,2,1] => [2,1] => 1
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,2,2] => [2,2] => 1
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [6,2] => [2] => 0
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [6,2] => [2] => 0
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [6,2] => [2] => 0
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [3,2,2,1] => [2,2,1] => 3
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1] => [5,2,1] => [2,1] => 1
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [6,1,1] => [1,1] => 1
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => [2,1,1] => 2
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [6,1,1] => [1,1] => 1
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [4,2,1,1] => [2,1,1] => 2
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [4,2,1,1] => [2,1,1] => 2
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [5,2,1] => [2,1] => 1
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,1,1] => [2,1,1] => 2
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,1,1] => [2,1,1] => 2
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [3,4,2,6,5,8,7,1] => [6,1,1] => [1,1] => 1
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [5,1,1,1] => [1,1,1] => 1
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [5,1,1,1] => [1,1,1] => 1
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [6,1,1] => [1,1] => 1
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [4,2,1,1] => [2,1,1] => 2
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [5,1,1,1] => [1,1,1] => 1
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [5,2,1] => [2,1] => 1
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [6,1,1] => [1,1] => 1
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [6,1,1] => [1,1] => 1
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [3,2,2,1] => [2,2,1] => 3
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [5,2,1] => [2,1] => 1
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [5,2,1] => [2,1] => 1
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => [6,2] => [2] => 0
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [4,2,2] => [2,2] => 1
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [4,4] => [4] => 0
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [4,4] => [4] => 0
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [4,3,6,7,5,2,8,1] => [4,3,1] => [3,1] => 2
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1] => [4,3,1] => [3,1] => 2
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [5,3] => [3] => 1
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [6,2] => [2] => 0
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [6,2] => [2] => 0
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [4,4] => [4] => 0
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [5,2,1] => [2,1] => 1
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [5,3] => [3] => 1
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [4,3,1] => [3,1] => 2
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [5,3] => [3] => 1
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [4,2,2] => [2,2] => 1
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [5,2,1] => [2,1] => 1
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [6,2] => [2] => 0
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [5,3] => [3] => 1
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [4,2,1,1] => [2,1,1] => 2
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [6,1,1] => [1,1] => 1
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [5,2,1] => [2,1] => 1
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [6,2] => [2] => 0
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [6,2] => [2] => 0
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [4,2,1,1] => [2,1,1] => 2
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [5,1,1,1] => [1,1,1] => 1
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [6,1,1] => [1,1] => 1
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [5,2,1] => [2,1] => 1
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [6,1,1] => [1,1] => 1
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [6,1,1] => [1,1] => 1
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [4,2,2] => [2,2] => 1
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [6,2] => [2] => 0
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [5,3] => [3] => 1
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [5,3] => [3] => 1
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [5,2,1] => [2,1] => 1
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => [6,2] => [2] => 0
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [6,2] => [2] => 0
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [4,3,2,6,5,7,8,1] => [5,2,1] => [2,1] => 1
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [6,1,1] => [1,1] => 1
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [5,2,1] => [2,1] => 1
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [6,2] => [2] => 0
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [6,1,1] => [1,1] => 1
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [6,2] => [2] => 0
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [2,2,2,1,1] => [2,2,1,1] => 6
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [4,2,1,1] => [2,1,1] => 2
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1] => [1,1] => 1
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [6,1,1] => [1,1] => 1
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [4,2,1,1] => [2,1,1] => 2
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [4,3,1] => [3,1] => 2
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [5,2,1] => [2,1] => 1
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [3,2,2,1] => [2,2,1] => 3
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [4,3,1] => [3,1] => 2
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [5,2,1] => [2,1] => 1
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [3,2,2,1] => [2,2,1] => 3
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [4,3,1] => [3,1] => 2
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [3,3,1,1] => [3,1,1] => 4
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [5,2,1] => [2,1] => 1
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [4,2,1,1] => [2,1,1] => 2
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [6,1,1] => [1,1] => 1
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [3,3,1,1] => [3,1,1] => 4
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,5,6,4,7,8,3,2] => [6,1,1] => [1,1] => 1
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [4,3,1] => [3,1] => 2
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [3,2,2,1] => [2,2,1] => 3
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,2,1] => [2,1] => 1
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [5,2,1] => [2,1] => 1
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [6,1,1] => [1,1] => 1
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,2,1,1] => [2,1,1] => 2
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,3,1] => [3,1] => 2
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,2,1,1] => [2,1,1] => 2
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,3,1] => [3,1] => 2
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [3,2,1,1,1] => [2,1,1,1] => 3
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [5,1,1,1] => [1,1,1] => 1
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [4,2,1,1] => [2,1,1] => 2
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [5,2,1] => [2,1] => 1
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [3,2,2,1] => [2,2,1] => 3
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [5,2,1] => [2,1] => 1
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => [2,1,1] => 2
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [6,1,1] => [1,1] => 1
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [5,2,1] => [2,1] => 1
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [3,2,1,1,1] => [2,1,1,1] => 3
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [5,1,1,1] => [1,1,1] => 1
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => [2,1,1] => 2
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [4,1,1,1,1] => [1,1,1,1] => 1
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [6,1,1] => [1,1] => 1
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [6,1,1] => [1,1] => 1
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [3,2,2,1] => [2,2,1] => 3
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [5,2,1] => [2,1] => 1
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,5,6,7,4,3,8,2] => [5,2,1] => [2,1] => 1
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,2,1,1] => [2,1,1] => 2
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [4,2,1,1] => [2,1,1] => 2
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [5,2,1] => [2,1] => 1
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [4,3,1] => [3,1] => 2
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [5,2,1] => [2,1] => 1
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [5,2,1] => [2,1] => 1
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [5,1,1,1] => [1,1,1] => 1
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [5,1,1,1] => [1,1,1] => 1
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [6,1,1] => [1,1] => 1
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [5,2,1] => [2,1] => 1
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [6,1,1] => [1,1] => 1
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [2,2,2,2] => [2,2,2] => 3
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [4,2,2] => [2,2] => 1
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [6,2] => [2] => 0
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [6,2] => [2] => 0
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,2] => [2,2] => 1
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => [2,1] => 1
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [3,2,2,1] => [2,2,1] => 3
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [6,2] => [2] => 0
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [3,3,2] => [3,2] => 3
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => [2,1] => 1
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [3,2,2,1] => [2,2,1] => 3
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,2] => [2,2] => 1
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [3,3,2] => [3,2] => 3
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [6,2] => [2] => 0
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [3,2,2,1] => [2,2,1] => 3
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [5,2,1] => [2,1] => 1
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [6,2] => [2] => 0
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [3,2,2,1] => [2,2,1] => 3
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [5,2,1] => [2,1] => 1
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,2] => [2,2] => 1
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [6,2] => [2] => 0
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [5,2,1] => [2,1] => 1
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [4,2,1,1] => [2,1,1] => 2
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [5,2,1] => [2,1] => 1
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [3,2,2,1] => [2,2,1] => 3
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [5,2,1] => [2,1] => 1
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [6,2] => [2] => 0
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [6,2] => [2] => 0
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [4,2,2] => [2,2] => 1
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,2] => [2,2] => 1
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [6,2] => [2] => 0
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [4,2,1,1] => [2,1,1] => 2
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [6,2] => [2] => 0
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [5,2,1] => [2,1] => 1
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [6,2] => [2] => 0
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,2,7,6,8,5,4,3] => [6,1,1] => [1,1] => 1
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [6,1,1] => [1,1] => 1
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [3,3,1,1] => [3,1,1] => 4
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => [1,1,1] => 1
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [3,3,1,1] => [3,1,1] => 4
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [6,1,1] => [1,1] => 1
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [6,1,1] => [1,1] => 1
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,2,5,4,7,8,6,3] => [5,1,1,1] => [1,1,1] => 1
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [6,1,1] => [1,1] => 1
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,2,4,6,5,8,7,3] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [5,1,1,1] => [1,1,1] => 1
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [6,1,1] => [1,1] => 1
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => [6,1,1] => [1,1] => 1
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [5,1,1,1] => [1,1,1] => 1
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [6,1,1] => [1,1] => 1
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [2,2,2,1,1] => [2,2,1,1] => 6
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,2,1,1] => [2,1,1] => 2
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [5,2,1] => [2,1] => 1
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,2,2,1] => [2,2,1] => 3
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [5,2,1] => [2,1] => 1
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,2,1,1,1] => [2,1,1,1] => 3
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [3,2,2,1] => [2,2,1] => 3
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [5,2,1] => [2,1] => 1
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [3,2,2,1] => [2,2,1] => 3
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [2,3,1,7,8,6,5,4] => [4,3,1] => [3,1] => 2
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [5,3] => [3] => 1
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [5,3] => [3] => 1
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,3,2] => [3,2] => 3
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [5,3] => [3] => 1
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,3,1,1] => [3,1,1] => 4
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [3,3,2] => [3,2] => 3
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [5,3] => [3] => 1
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [4,3,1] => [3,1] => 2
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [5,3] => [3] => 1
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [5,2,1] => [2,1] => 1
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [5,2,1] => [2,1] => 1
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [3,2,2,1] => [2,2,1] => 3
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [5,2,1] => [2,1] => 1
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [3,2,2,1] => [2,2,1] => 3
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [5,2,1] => [2,1] => 1
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [5,2,1] => [2,1] => 1
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => [2,1,1] => 2
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [5,2,1] => [2,1] => 1
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => [3,2,2,1] => [2,2,1] => 3
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [5,2,1] => [2,1] => 1
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [5,1,1,1] => [1,1,1] => 1
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [5,1,1,1] => [1,1,1] => 1
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [5,1,1,1] => [1,1,1] => 1
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [5,1,1,1] => [1,1,1] => 1
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [5,1,1,1] => [1,1,1] => 1
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [2,2,2,2] => [2,2,2] => 3
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,2,2] => [2,2] => 1
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [3,2,2,1] => [2,2,1] => 3
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,2] => [2,2] => 1
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,2,2] => [2,2] => 1
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [4,4] => [4] => 0
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [4,3,1] => [3,1] => 2
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [4,3,1] => [3,1] => 2
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [4,4] => [4] => 0
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [3,2,2,1] => [2,2,1] => 3
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [4,3,1] => [3,1] => 2
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => [3,1,1] => 4
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => [3,1,1] => 4
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [4,3,1] => [3,1] => 2
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [3,2,2,1] => [2,2,1] => 3
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [4,3,1] => [3,1] => 2
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => [3,1,1] => 4
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => [3,1,1] => 4
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [4,3,1] => [3,1] => 2
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,2] => [2,2] => 1
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [4,4] => [4] => 0
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [4,3,1] => [3,1] => 2
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [4,3,1] => [3,1] => 2
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [4,4] => [4] => 0
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [3,2,2,1] => [2,2,1] => 3
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [4,3,1] => [3,1] => 2
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,3,1,1] => [3,1,1] => 4
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,3,1,1] => [3,1,1] => 4
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [4,3,1] => [3,1] => 2
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [2,2,2,2] => [2,2,2] => 3
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [4,2,2] => [2,2] => 1
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => [2,2,1] => 3
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => [2,2,1] => 3
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [4,2,2] => [2,2] => 1
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [4,2,1,1] => [2,1,1] => 2
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [4,2,1,1] => [2,1,1] => 2
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [4,2,1,1] => [2,1,1] => 2
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [4,2,1,1] => [2,1,1] => 2
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [3,2,2,1] => [2,2,1] => 3
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [4,3,1] => [3,1] => 2
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,3,1,1] => [3,1,1] => 4
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [4,3,1] => [3,1] => 2
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [4,2,1,1] => [2,1,1] => 2
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [4,2,1,1] => [2,1,1] => 2
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [4,2,1,1] => [2,1,1] => 2
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [4,1,1,1,1] => [1,1,1,1] => 1
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [2,2,2,1,1] => [2,2,1,1] => 6
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [3,2,2,1] => [2,2,1] => 3
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,2,1,1] => [2,1,1] => 2
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [5,2,1] => [2,1] => 1
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [5,3] => [3] => 1
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [5,2,1] => [2,1] => 1
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,2,2,1] => [2,2,1] => 3
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [3,2,2,1] => [2,2,1] => 3
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [3,3,2] => [3,2] => 3
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [5,2,1] => [2,1] => 1
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [5,3] => [3] => 1
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,2,1,1,1] => [2,1,1,1] => 3
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,3,1,1] => [3,1,1] => 4
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [4,2,1,1] => [2,1,1] => 2
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [3,2,2,1] => [2,2,1] => 3
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [3,3,2] => [3,2] => 3
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [5,2,1] => [2,1] => 1
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [5,3] => [3] => 1
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [4,2,1,1] => [2,1,1] => 2
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [4,3,1] => [3,1] => 2
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [4,2,1,1] => [2,1,1] => 2
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [5,2,1] => [2,1] => 1
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [5,3] => [3] => 1
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [3,2,2,1] => [2,2,1] => 3
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [4,3,1] => [3,1] => 2
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,3,1,1] => [3,1,1] => 4
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [4,3,1] => [3,1] => 2
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => [2,2,1] => 3
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [3,3,1,1] => [3,1,1] => 4
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [3,2,2,1] => [2,2,1] => 3
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [3,2,2,1] => [2,2,1] => 3
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [3,2,2,1] => [2,2,1] => 3
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,3,1,1] => [3,1,1] => 4
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [4,2,1,1] => [2,1,1] => 2
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [4,3,1] => [3,1] => 2
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [3,3,1,1] => [3,1,1] => 4
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [3,2,2,1] => [2,2,1] => 3
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [3,3,1,1] => [3,1,1] => 4
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [2,2,2,2] => [2,2,2] => 3
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [4,2,2] => [2,2] => 1
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [6,2] => [2] => 0
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [6,2] => [2] => 0
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [4,2,2] => [2,2] => 1
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [5,2,1] => [2,1] => 1
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [3,2,2,1] => [2,2,1] => 3
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [6,2] => [2] => 0
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [3,3,2] => [3,2] => 3
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [5,2,1] => [2,1] => 1
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [3,2,2,1] => [2,2,1] => 3
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [3,3,2] => [3,2] => 3
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7] => [6,2] => [2] => 0
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [3,2,2,1] => [2,2,1] => 3
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [5,2,1] => [2,1] => 1
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [6,2] => [2] => 0
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [5,2,1] => [2,1] => 1
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,2] => [2,2] => 1
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [6,2] => [2] => 0
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [3,2,2,1] => [2,2,1] => 3
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [5,2,1] => [2,1] => 1
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [4,2,1,1] => [2,1,1] => 2
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [3,2,2,1] => [2,2,1] => 3
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [6,2] => [2] => 0
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [6,2] => [2] => 0
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [4,2,2] => [2,2] => 1
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,2] => [2,2] => 1
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [6,2] => [2] => 0
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [4,2,1,1] => [2,1,1] => 2
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [4,2,2] => [2,2] => 1
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [6,2] => [2] => 0
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [5,2,1] => [2,1] => 1
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [6,2] => [2] => 0
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [5,2,1] => [2,1] => 1
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [3,2,2,1] => [2,2,1] => 3
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [5,2,1] => [2,1] => 1
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [2,2,2,2] => [2,2,2] => 3
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [4,2,2] => [2,2] => 1
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => [2,2,1] => 3
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => [2,2,1] => 3
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [4,2,2] => [2,2] => 1
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [4,2,1,1] => [2,1,1] => 2
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => [2,2,1] => 3
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [3,2,2,1] => [2,2,1] => 3
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [3,2,2,1] => [2,2,1] => 3
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [2,2,2,2] => [2,2,2] => 3
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [4,2,2] => [2,2] => 1
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => [2,2,1] => 3
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => [2,2,1] => 3
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [4,2,2] => [2,2] => 1
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [3,2,2,1] => [2,2,1] => 3
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => [2,2,2] => 3
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [3,2,2,1] => [2,2,1] => 3
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [4,2,1,1] => [2,1,1] => 2
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [5,2,1] => [2,1] => 1
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [5,2,1] => [2,1] => 1
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [3,2,2,1] => [2,2,1] => 3
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [3,2,2,1] => [2,2,1] => 3
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [5,2,1] => [2,1] => 1
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [4,2,1,1] => [2,1,1] => 2
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [4,2,1,1] => [2,1,1] => 2
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [5,2,1] => [2,1] => 1
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [4,2,1,1] => [2,1,1] => 2
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [3,2,2,1] => [2,2,1] => 3
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [4,2,1,1] => [2,1,1] => 2
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [2,2,2,1,1] => [2,2,1,1] => 6
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [4,2,1,1] => [2,1,1] => 2
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [6,1,1] => [1,1] => 1
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [6,1,1] => [1,1] => 1
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [4,2,1,1] => [2,1,1] => 2
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => [5,2,1] => [2,1] => 1
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [4,3,1] => [3,1] => 2
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [5,2,1] => [2,1] => 1
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [3,2,2,1] => [2,2,1] => 3
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [4,3,1] => [3,1] => 2
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [4,3,1] => [3,1] => 2
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [6,1,1] => [1,1] => 1
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [3,3,1,1] => [3,1,1] => 4
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [6,1,1] => [1,1] => 1
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [4,3,1] => [3,1] => 2
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [5,2,1] => [2,1] => 1
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [3,2,2,1] => [2,2,1] => 3
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [4,3,1] => [3,1] => 2
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8] => [6,1,1] => [1,1] => 1
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => [4,3,1] => [3,1] => 2
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [3,3,1,1] => [3,1,1] => 4
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [4,3,1] => [3,1] => 2
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [3,2,2,1] => [2,2,1] => 3
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [5,2,1] => [2,1] => 1
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [2,5,6,7,4,3,1,8] => [5,2,1] => [2,1] => 1
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [4,2,1,1] => [2,1,1] => 2
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [4,2,1,1] => [2,1,1] => 2
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [4,3,1] => [3,1] => 2
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [5,1,1,1] => [1,1,1] => 1
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [6,1,1] => [1,1] => 1
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [6,1,1] => [1,1] => 1
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [4,2,1,1] => [2,1,1] => 2
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [4,2,1,1] => [2,1,1] => 2
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [6,1,1] => [1,1] => 1
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [5,2,1] => [2,1] => 1
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [5,2,1] => [2,1] => 1
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [5,2,1] => [2,1] => 1
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [6,1,1] => [1,1] => 1
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [5,2,1] => [2,1] => 1
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [5,1,1,1] => [1,1,1] => 1
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [6,1,1] => [1,1] => 1
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [6,1,1] => [1,1] => 1
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => [4,2,1,1] => [2,1,1] => 2
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [4,2,1,1] => [2,1,1] => 2
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [6,1,1] => [1,1] => 1
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [6,1,1] => [1,1] => 1
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [3,2,2,1] => [2,2,1] => 3
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [5,2,1] => [2,1] => 1
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [3,6,5,4,2,7,1,8] => [6,1,1] => [1,1] => 1
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [4,2,1,1] => [2,1,1] => 2
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [6,1,1] => [1,1] => 1
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [4,2,1,1] => [2,1,1] => 2
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [5,2,1] => [2,1] => 1
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [4,3,1] => [3,1] => 2
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [4,2,1,1] => [2,1,1] => 2
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => [4,2,1,1] => [2,1,1] => 2
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [6,1,1] => [1,1] => 1
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [5,1,1,1] => [1,1,1] => 1
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [6,1,1] => [1,1] => 1
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [4,2,1,1] => [2,1,1] => 2
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [5,2,1] => [2,1] => 1
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => [5,2,1] => [2,1] => 1
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [5,2,1] => [2,1] => 1
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [6,1,1] => [1,1] => 1
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [6,1,1] => [1,1] => 1
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,1,1,1] => [1,1,1] => 1
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [3,3,1,1] => [3,1,1] => 4
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8] => [6,1,1] => [1,1] => 1
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [5,1,1,1] => [1,1,1] => 1
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [6,1,1] => [1,1] => 1
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [6,1,1] => [1,1] => 1
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [6,1,1] => [1,1] => 1
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [5,1,1,1] => [1,1,1] => 1
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [6,1,1] => [1,1] => 1
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [6,1,1] => [1,1] => 1
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [6,1,1] => [1,1] => 1
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [6,1,1] => [1,1] => 1
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => [3,2,2,1] => [2,2,1] => 3
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [2,1,5,4,6,7,3,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [5,2,1] => [2,1] => 1
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [5,1,1,1] => [1,1,1] => 1
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [5,1,1,1] => [1,1,1] => 1
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [5,1,1,1] => [1,1,1] => 1
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [5,1,1,1] => [1,1,1] => 1
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [3,2,1,6,5,7,4,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [4,3,1] => [3,1] => 2
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,3,1,1] => [3,1,1] => 4
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [4,3,1] => [3,1] => 2
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [4,2,1,1] => [2,1,1] => 2
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [4,2,1,1] => [2,1,1] => 2
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [4,2,1,1] => [2,1,1] => 2
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [3,3,1,1] => [3,1,1] => 4
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [4,3,1] => [3,1] => 2
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [3,3,1,1] => [3,1,1] => 4
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [2,1,4,3,6,7,5,8] => [3,2,2,1] => [2,2,1] => 3
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [3,3,1,1] => [3,1,1] => 4
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [5,2,1] => [2,1] => 1
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [3,2,2,1] => [2,2,1] => 3
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [3,2,2,1] => [2,2,1] => 3
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [5,2,1] => [2,1] => 1
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [5,2,1] => [2,1] => 1
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [5,2,1] => [2,1] => 1
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [4,2,1,1] => [2,1,1] => 2
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [4,2,1,1] => [2,1,1] => 2
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [3,2,2,1] => [2,2,1] => 3
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [4,2,1,1] => [2,1,1] => 2
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [6,1,1] => [1,1] => 1
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [4,3,6,5,2,1,7,8] => [6,1,1] => [1,1] => 1
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [6,1,1] => [1,1] => 1
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [6,1,1] => [1,1] => 1
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [6,1,1] => [1,1] => 1
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8] => [6,1,1] => [1,1] => 1
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [6,1,1] => [1,1] => 1
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [4,2,1,1] => [2,1,1] => 2
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [6,1,1] => [1,1] => 1
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [6,1,1] => [1,1] => 1
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,4,5,6,3,2,7,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [4,2,1,1] => [2,1,1] => 2
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [3,3,1,1] => [3,1,1] => 4
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [4,2,1,1] => [2,1,1] => 2
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,2,2,1,1] => [2,2,1,1] => 6
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [5,1,1,1] => [1,1,1] => 1
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [3,2,1,1,1] => [2,1,1,1] => 3
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 1
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [2,2,2,2,1] => [2,2,2,1] => 9
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [4,2,2,1] => [2,2,1] => 3
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [4,2,2,1] => [2,2,1] => 3
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [6,3] => [3] => 1
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [5,4] => [4] => 0
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [2,2,2,2,2] => [2,2,2,2] => 9
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [4,2,2,2] => [2,2,2] => 3
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [6,2,1] => [2,1] => 1
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [4,4,2] => [4,2] => 5
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [3,5,6,7,8,9,4,2,1] => [4,3,2] => [3,2] => 3
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [6,4] => [4] => 0
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 1
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [6,2,1] => [2,1] => 1
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [7,2] => [2] => 0
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [5,2,2] => [2,2] => 1
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [3,2,2,2] => [2,2,2] => 3
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [2,2,2,2,1] => [2,2,2,1] => 9
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [6,2,2] => [2,2] => 1
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [6,8,7,9,5,4,3,2,1] => [4,2,2,1] => [2,2,1] => 3
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [8,2] => [2] => 0
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [5,8,7,6,9,4,3,2,1] => [3,2,2,2] => [2,2,2] => 3
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [4,8,7,6,5,9,3,2,1] => [4,2,2,1] => [2,2,1] => 3
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [3,8,7,6,5,4,9,2,1] => [4,2,2,1] => [2,2,1] => 3
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [7,2,1] => [2,1] => 1
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [2,8,7,6,5,4,3,9,1] => [4,2,2,1] => [2,2,1] => 3
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [5,2,2,1] => [2,2,1] => 3
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [2,2,2,1,1,1] => [2,2,1,1,1] => 10
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [3,2,2,2,1] => [2,2,2,1] => 9
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [2,2,2,2,1,1] => [2,2,2,1,1] => 19
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,10,9,1] => [6,1,1,1,1] => [1,1,1,1] => 1
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,1,4,6,5,3,8,10,9,7] => [3,3,2,1,1] => [3,2,1,1] => 23
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [2,1,4,6,5,3,8,7,10,9] => [3,2,2,2,1] => [2,2,2,1] => 9
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,9,8,1,10] => [5,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => [2,2,2,2] => 9
[.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,10,9,12,11,1] => [7,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3,8,7,10,12,11,9] => [3,3,2,2,1,1] => [3,2,2,1,1] => 108
[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,10,9,7,12,11] => [3,3,2,2,1,1] => [3,2,2,1,1] => 108
[[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,1,4,6,5,3,8,7,10,9,12,11] => [3,2,2,2,2,1] => [2,2,2,2,1] => 28
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,9,8,11,10,1,12] => [6,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => [2,2,2,2,2] => 28
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 5
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 1
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 6
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 5
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [2,3,1,4,5,6,7,9,8] => [3,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [4,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [5,1,1,1,1] => [1,1,1,1] => 1
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [6,1,1,1] => [1,1,1] => 1
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [7,1,1] => [1,1] => 1
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [3,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [4,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,4,7,6,8,9,5] => [4,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [5,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,2,3,6,5,7,8,9,4] => [5,1,1,1,1] => [1,1,1,1] => 1
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [6,1,1,1,1] => [1,1,1,1] => 1
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [1,2,5,4,6,7,8,9,3] => [6,1,1,1] => [1,1,1] => 1
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [7,1,1,1] => [1,1,1] => 1
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [7,1,1] => [1,1] => 1
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [8,1,1] => [1,1] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [2,2,2,2,1] => [2,2,2,1] => 9
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [4,2,2,1] => [2,2,1] => 3
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,8,9,7,6,5,4,3,2] => [4,2,2,1] => [2,2,1] => 3
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [2,2,2,2,1,1] => [2,2,2,1,1] => 19
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [2,2,2,2,2,1] => [2,2,2,2,1] => 28
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [4,2,2,1,1] => [2,2,1,1] => 6
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [6,2,1] => [2,1] => 1
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,8,7,9,6,5,4,3,2] => [6,2,1] => [2,1] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,9,10,8,7,6,5,4,3,2] => [4,2,2,1,1] => [2,2,1,1] => 6
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [2,2,2,2,2,1] => [2,2,2,2,1] => 28
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [6,3,1] => [3,1] => 2
[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [3,2,7,6,8,5,9,4,10,1] => [5,4,1] => [4,1] => 2
[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [3,2,6,5,8,7,9,4,10,1] => [6,3,1] => [3,1] => 2
[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [3,2,5,4,8,7,9,6,10,1] => [8,1,1] => [1,1] => 1
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [5,4,6,3,7,2,9,8,10,1] => [5,4,1] => [4,1] => 2
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [4,3,6,5,7,2,9,8,10,1] => [6,3,1] => [3,1] => 2
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [3,2,6,5,7,4,9,8,10,1] => [8,1,1] => [1,1] => 1
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [4,3,5,2,7,6,9,8,10,1] => [8,1,1] => [1,1] => 1
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,9,8,10,1] => [6,1,1,1,1] => [1,1,1,1] => 1
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [2,1,7,6,8,5,9,4,10,3] => [4,4,2] => [4,2] => 5
[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [2,1,6,5,8,7,9,4,10,3] => [5,3,2] => [3,2] => 3
[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [2,1,5,4,8,7,9,6,10,3] => [7,2,1] => [2,1] => 1
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [2,1,6,5,7,4,9,8,10,3] => [7,2,1] => [2,1] => 1
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [2,1,5,4,7,6,9,8,10,3] => [5,2,1,1,1] => [2,1,1,1] => 3
[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [3,2,4,1,8,7,9,6,10,5] => [6,3,1] => [3,1] => 2
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [3,2,4,1,7,6,9,8,10,5] => [4,3,1,1,1] => [3,1,1,1] => 7
[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,4,3,8,7,9,6,10,5] => [6,2,2] => [2,2] => 1
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,4,3,7,6,9,8,10,5] => [4,2,2,1,1] => [2,2,1,1] => 6
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [4,3,5,2,6,1,9,8,10,7] => [6,3,1] => [3,1] => 2
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [3,2,5,4,6,1,9,8,10,7] => [4,3,1,1,1] => [3,1,1,1] => 7
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [2,1,5,4,6,3,9,8,10,7] => [3,3,2,1,1] => [3,2,1,1] => 23
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [3,2,4,1,6,5,9,8,10,7] => [3,3,2,1,1] => [3,2,1,1] => 23
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,6,5,9,8,10,7] => [3,2,2,2,1] => [2,2,2,1] => 9
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [5,4,6,3,7,2,8,1,10,9] => [4,4,2] => [4,2] => 5
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [4,3,6,5,7,2,8,1,10,9] => [5,3,2] => [3,2] => 3
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [3,2,6,5,7,4,8,1,10,9] => [7,2,1] => [2,1] => 1
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [4,3,5,2,7,6,8,1,10,9] => [7,2,1] => [2,1] => 1
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,7,6,8,1,10,9] => [5,2,1,1,1] => [2,1,1,1] => 3
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [2,1,6,5,7,4,8,3,10,9] => [6,2,2] => [2,2] => 1
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [2,1,5,4,7,6,8,3,10,9] => [4,2,2,1,1] => [2,2,1,1] => 6
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [3,2,4,1,7,6,8,5,10,9] => [3,3,2,1,1] => [3,2,1,1] => 23
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,4,3,7,6,8,5,10,9] => [3,2,2,2,1] => [2,2,2,1] => 9
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [4,3,5,2,6,1,8,7,10,9] => [6,2,2] => [2,2] => 1
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [3,2,5,4,6,1,8,7,10,9] => [4,2,2,1,1] => [2,2,1,1] => 6
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [2,1,5,4,6,3,8,7,10,9] => [3,2,2,2,1] => [2,2,2,1] => 9
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7,10,9] => [3,2,2,2,1] => [2,2,2,1] => 9
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [10,2] => [2] => 0
[.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]] => [6,5,8,7,9,4,10,3,11,2,12,1] => [10,2] => [2] => 0
[.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]] => [5,4,8,7,9,6,10,3,11,2,12,1] => [5,4,2,1] => [4,2,1] => 21
[.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]] => [5,4,7,6,9,8,10,3,11,2,12,1] => [7,5] => [5] => 1
[.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]] => [4,3,7,6,9,8,10,5,11,2,12,1] => [8,4] => [4] => 0
[.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]] => [5,4,6,3,9,8,10,7,11,2,12,1] => [7,5] => [5] => 1
[.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]] => [4,3,6,5,9,8,10,7,11,2,12,1] => [6,6] => [6] => 0
[.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]] => [5,4,7,6,8,3,10,9,11,2,12,1] => [6,6] => [6] => 0
[.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]] => [4,3,7,6,8,5,10,9,11,2,12,1] => [8,4] => [4] => 0
[.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]] => [5,4,6,3,8,7,10,9,11,2,12,1] => [6,6] => [6] => 0
[.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]] => [4,3,6,5,8,7,10,9,11,2,12,1] => [7,5] => [5] => 1
[.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [3,2,8,7,9,6,10,5,11,4,12,1] => [7,3,1,1] => [3,1,1] => 4
[.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]] => [4,3,5,2,9,8,10,7,11,6,12,1] => [8,4] => [4] => 0
[.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]] => [4,3,5,2,8,7,10,9,11,6,12,1] => [9,3] => [3] => 1
[.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [3,2,5,4,9,8,10,7,11,6,12,1] => [6,4,1,1] => [4,1,1] => 6
[.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [3,2,5,4,8,7,10,9,11,6,12,1] => [7,3,1,1] => [3,1,1] => 4
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]] => [5,4,6,3,7,2,10,9,11,8,12,1] => [8,4] => [4] => 0
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]] => [4,3,6,5,7,2,10,9,11,8,12,1] => [9,3] => [3] => 1
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [3,2,5,4,7,6,10,9,11,8,12,1] => [9,1,1,1] => [1,1,1] => 1
[.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]] => [6,5,7,4,8,3,9,2,11,10,12,1] => [7,3,1,1] => [3,1,1] => 4
[.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [3,2,7,6,8,5,9,4,11,10,12,1] => [6,4,1,1] => [4,1,1] => 6
[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [3,2,6,5,8,7,9,4,11,10,12,1] => [7,3,1,1] => [3,1,1] => 4
[.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [3,2,5,4,8,7,9,6,11,10,12,1] => [9,1,1,1] => [1,1,1] => 1
[.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]] => [5,4,6,3,7,2,9,8,11,10,12,1] => [6,4,1,1] => [4,1,1] => 6
[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [4,3,6,5,7,2,9,8,11,10,12,1] => [7,3,1,1] => [3,1,1] => 4
[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [3,2,6,5,7,4,9,8,11,10,12,1] => [9,1,1,1] => [1,1,1] => 1
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [4,3,5,2,7,6,9,8,11,10,12,1] => [9,1,1,1] => [1,1,1] => 1
[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,9,8,11,10,12,1] => [7,1,1,1,1,1] => [1,1,1,1,1] => 1
[[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [2,1,8,7,9,6,10,5,11,4,12,3] => [6,3,2,1] => [3,2,1] => 10
[[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [2,1,7,6,9,8,10,5,11,4,12,3] => [10,2] => [2] => 0
[[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [2,1,6,5,9,8,10,7,11,4,12,3] => [10,2] => [2] => 0
[[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [2,1,7,6,8,5,10,9,11,4,12,3] => [10,2] => [2] => 0
[[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [2,1,6,5,8,7,10,9,11,4,12,3] => [10,2] => [2] => 0
[[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [2,1,5,4,9,8,10,7,11,6,12,3] => [5,4,2,1] => [4,2,1] => 21
[[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [2,1,5,4,8,7,10,9,11,6,12,3] => [6,3,2,1] => [3,2,1] => 10
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,10,9,11,8,12,3] => [10,2] => [2] => 0
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [2,1,5,4,7,6,10,9,11,8,12,3] => [8,2,1,1] => [2,1,1] => 2
[[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [2,1,7,6,8,5,9,4,11,10,12,3] => [5,4,2,1] => [4,2,1] => 21
[[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [2,1,6,5,8,7,9,4,11,10,12,3] => [6,3,2,1] => [3,2,1] => 10
[[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [2,1,5,4,8,7,9,6,11,10,12,3] => [8,2,1,1] => [2,1,1] => 2
[[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [2,1,6,5,7,4,9,8,11,10,12,3] => [8,2,1,1] => [2,1,1] => 2
[[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [2,1,5,4,7,6,9,8,11,10,12,3] => [6,2,1,1,1,1] => [2,1,1,1,1] => 4
[[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [3,2,4,1,9,8,10,7,11,6,12,5] => [4,4,3,1] => [4,3,1] => 42
[[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [3,2,4,1,8,7,10,9,11,6,12,5] => [5,3,3,1] => [3,3,1] => 13
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,4,1,7,6,10,9,11,8,12,5] => [7,3,1,1] => [3,1,1] => 4
[[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [3,2,4,1,8,7,9,6,11,10,12,5] => [7,3,1,1] => [3,1,1] => 4
[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,4,1,7,6,9,8,11,10,12,5] => [5,3,1,1,1,1] => [3,1,1,1,1] => 11
[[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [2,1,4,3,9,8,10,7,11,6,12,5] => [4,4,2,2] => [4,2,2] => 34
[[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [2,1,4,3,8,7,10,9,11,6,12,5] => [5,3,2,2] => [3,2,2] => 13
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [2,1,4,3,7,6,10,9,11,8,12,5] => [7,2,2,1] => [2,2,1] => 3
[[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [2,1,4,3,8,7,9,6,11,10,12,5] => [7,2,2,1] => [2,2,1] => 3
[[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [2,1,4,3,7,6,9,8,11,10,12,5] => [5,2,2,1,1,1] => [2,2,1,1,1] => 10
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1,10,9,11,8,12,7] => [6,6] => [6] => 0
[[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]] => [4,3,5,2,6,1,9,8,11,10,12,7] => [6,4,1,1] => [4,1,1] => 6
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [3,2,5,4,6,1,10,9,11,8,12,7] => [6,4,1,1] => [4,1,1] => 6
[[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1,9,8,11,10,12,7] => [4,4,1,1,1,1] => [4,1,1,1,1] => 24
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [2,1,5,4,6,3,10,9,11,8,12,7] => [6,3,2,1] => [3,2,1] => 10
[[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,6,3,9,8,11,10,12,7] => [4,3,2,1,1,1] => [3,2,1,1,1] => 44
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [3,2,4,1,6,5,10,9,11,8,12,7] => [6,3,2,1] => [3,2,1] => 10
[[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [3,2,4,1,6,5,9,8,11,10,12,7] => [4,3,2,1,1,1] => [3,2,1,1,1] => 44
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,4,3,6,5,10,9,11,8,12,7] => [6,2,2,2] => [2,2,2] => 3
[[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,4,3,6,5,9,8,11,10,12,7] => [4,2,2,2,1,1] => [2,2,2,1,1] => 19
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]] => [5,4,6,3,7,2,8,1,11,10,12,9] => [4,4,3,1] => [4,3,1] => 42
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]] => [4,3,6,5,7,2,8,1,11,10,12,9] => [5,3,3,1] => [3,3,1] => 13
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [3,2,6,5,7,4,8,1,11,10,12,9] => [7,3,1,1] => [3,1,1] => 4
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [4,3,5,2,7,6,8,1,11,10,12,9] => [7,3,1,1] => [3,1,1] => 4
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [3,2,5,4,7,6,8,1,11,10,12,9] => [5,3,1,1,1,1] => [3,1,1,1,1] => 11
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [2,1,6,5,7,4,8,3,11,10,12,9] => [6,3,2,1] => [3,2,1] => 10
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [2,1,5,4,7,6,8,3,11,10,12,9] => [4,3,2,1,1,1] => [3,2,1,1,1] => 44
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5,11,10,12,9] => [3,3,3,1,1,1] => [3,3,1,1,1] => 80
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5,11,10,12,9] => [3,3,2,2,1,1] => [3,2,2,1,1] => 108
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]] => [4,3,5,2,6,1,8,7,11,10,12,9] => [6,3,2,1] => [3,2,1] => 10
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [3,2,5,4,6,1,8,7,11,10,12,9] => [4,3,2,1,1,1] => [3,2,1,1,1] => 44
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3,8,7,11,10,12,9] => [3,3,2,2,1,1] => [3,2,2,1,1] => 108
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [3,2,4,1,6,5,8,7,11,10,12,9] => [3,3,2,2,1,1] => [3,2,2,1,1] => 108
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,6,5,8,7,11,10,12,9] => [3,2,2,2,2,1] => [2,2,2,2,1] => 28
[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]] => [6,5,7,4,8,3,9,2,10,1,12,11] => [6,3,2,1] => [3,2,1] => 10
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]] => [5,4,7,6,8,3,9,2,10,1,12,11] => [10,2] => [2] => 0
[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]] => [4,3,7,6,8,5,9,2,10,1,12,11] => [10,2] => [2] => 0
[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]] => [5,4,6,3,8,7,9,2,10,1,12,11] => [10,2] => [2] => 0
[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]] => [4,3,6,5,8,7,9,2,10,1,12,11] => [10,2] => [2] => 0
[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [3,2,7,6,8,5,9,4,10,1,12,11] => [5,4,2,1] => [4,2,1] => 21
[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [3,2,6,5,8,7,9,4,10,1,12,11] => [6,3,2,1] => [3,2,1] => 10
[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,8,7,9,6,10,1,12,11] => [10,2] => [2] => 0
[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [3,2,5,4,8,7,9,6,10,1,12,11] => [8,2,1,1] => [2,1,1] => 2
[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]] => [5,4,6,3,7,2,9,8,10,1,12,11] => [5,4,2,1] => [4,2,1] => 21
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [4,3,6,5,7,2,9,8,10,1,12,11] => [6,3,2,1] => [3,2,1] => 10
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [3,2,6,5,7,4,9,8,10,1,12,11] => [8,2,1,1] => [2,1,1] => 2
[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => [4,3,5,2,7,6,9,8,10,1,12,11] => [8,2,1,1] => [2,1,1] => 2
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,7,6,9,8,10,1,12,11] => [6,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [2,1,7,6,8,5,9,4,10,3,12,11] => [4,4,2,2] => [4,2,2] => 34
[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [2,1,6,5,8,7,9,4,10,3,12,11] => [5,3,2,2] => [3,2,2] => 13
[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [2,1,5,4,8,7,9,6,10,3,12,11] => [7,2,2,1] => [2,2,1] => 3
[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [2,1,6,5,7,4,9,8,10,3,12,11] => [7,2,2,1] => [2,2,1] => 3
[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [2,1,5,4,7,6,9,8,10,3,12,11] => [5,2,2,1,1,1] => [2,2,1,1,1] => 10
[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [3,2,4,1,8,7,9,6,10,5,12,11] => [6,3,2,1] => [3,2,1] => 10
[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,4,1,7,6,9,8,10,5,12,11] => [4,3,2,1,1,1] => [3,2,1,1,1] => 44
[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [2,1,4,3,8,7,9,6,10,5,12,11] => [6,2,2,2] => [2,2,2] => 3
[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [2,1,4,3,7,6,9,8,10,5,12,11] => [4,2,2,2,1,1] => [2,2,2,1,1] => 19
[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]] => [4,3,5,2,6,1,9,8,10,7,12,11] => [6,3,2,1] => [3,2,1] => 10
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [3,2,5,4,6,1,9,8,10,7,12,11] => [4,3,2,1,1,1] => [3,2,1,1,1] => 44
[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,9,8,10,7,12,11] => [3,3,2,2,1,1] => [3,2,2,1,1] => 108
[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5,9,8,10,7,12,11] => [3,3,2,2,1,1] => [3,2,2,1,1] => 108
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,4,3,6,5,9,8,10,7,12,11] => [3,2,2,2,2,1] => [2,2,2,2,1] => 28
[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]] => [5,4,6,3,7,2,8,1,10,9,12,11] => [4,4,2,2] => [4,2,2] => 34
[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]] => [4,3,6,5,7,2,8,1,10,9,12,11] => [5,3,2,2] => [3,2,2] => 13
[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [3,2,6,5,7,4,8,1,10,9,12,11] => [7,2,2,1] => [2,2,1] => 3
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [4,3,5,2,7,6,8,1,10,9,12,11] => [7,2,2,1] => [2,2,1] => 3
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]] => [3,2,5,4,7,6,8,1,10,9,12,11] => [5,2,2,1,1,1] => [2,2,1,1,1] => 10
[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [2,1,6,5,7,4,8,3,10,9,12,11] => [6,2,2,2] => [2,2,2] => 3
[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [2,1,5,4,7,6,8,3,10,9,12,11] => [4,2,2,2,1,1] => [2,2,2,1,1] => 19
[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,7,6,8,5,10,9,12,11] => [3,3,2,2,1,1] => [3,2,2,1,1] => 108
[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [2,1,4,3,7,6,8,5,10,9,12,11] => [3,2,2,2,2,1] => [2,2,2,2,1] => 28
[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]] => [4,3,5,2,6,1,8,7,10,9,12,11] => [6,2,2,2] => [2,2,2] => 3
[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]] => [3,2,5,4,6,1,8,7,10,9,12,11] => [4,2,2,2,1,1] => [2,2,2,1,1] => 19
[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [2,1,5,4,6,3,8,7,10,9,12,11] => [3,2,2,2,2,1] => [2,2,2,2,1] => 28
[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7,10,9,12,11] => [3,2,2,2,2,1] => [2,2,2,2,1] => 28
[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,10,9,2] => [5,1,1,1,1,1] => [1,1,1,1,1] => 1
[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,10,9,12,11,2] => [6,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [2,2,2,2,1] => [2,2,2,1] => 9
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [2,2,2,2,1] => [2,2,2,1] => 9
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [2,2,2,2,1] => [2,2,2,1] => 9
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [2,2,2,2,1] => [2,2,2,1] => 9
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [2,2,2,2,1] => [2,2,2,1] => 9
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [2,2,2,2,1] => [2,2,2,1] => 9
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [2,2,2,1,1,1] => [2,2,1,1,1] => 10
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [2,2,2,2,2] => [2,2,2,2] => 9
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [3,2,2,2] => [2,2,2] => 3
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [2,2,2,2,1,1] => [2,2,2,1,1] => 19
[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [3,4,2,1,9,8,7,6,5] => [4,2,2,1] => [2,2,1] => 3
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [2,2,2,2,2] => [2,2,2,2] => 9
[[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]] => [4,5,3,2,1,9,8,7,6] => [4,2,2,1] => [2,2,1] => 3
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [2,2,2,2,1,1] => [2,2,2,1,1] => 19
[[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]] => [5,6,4,3,2,1,9,8,7] => [4,2,2,1] => [2,2,1] => 3
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [2,2,2,2,2] => [2,2,2,2] => 9
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [6,7,5,4,3,2,1,9,8] => [4,2,2,1] => [2,2,1] => 3
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [2,2,2,2,1,1] => [2,2,2,1,1] => 19
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [2,2,2,2,2] => [2,2,2,2] => 9
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [2,2,2,1,1,1] => [2,2,1,1,1] => 10
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [2,2,2,1,1,1] => [2,2,1,1,1] => 10
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 5
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 5
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [2,2,2,2,1,1] => [2,2,2,1,1] => 19
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 15
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 15
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 6
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 6
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [4,9,8,7,6,5,3,2,1] => [7,2] => [2] => 0
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [3,9,8,7,6,5,4,2,1] => [5,2,2] => [2,2] => 1
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [3,2,2,2] => [2,2,2] => 3
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,8,7,5,10,9] => [3,3,2,1,1] => [3,2,1,1] => 23
[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [2,4,3,1,6,5,8,10,9,7] => [3,3,2,1,1] => [3,2,1,1] => 23
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7,10,9] => [3,2,2,2,1] => [2,2,2,1] => 9
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,3,6,8,7,5,10,9] => [3,2,2,2,1] => [2,2,2,1] => 9
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,10,9,7] => [3,2,2,2,1] => [2,2,2,1] => 9
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5,10,12,11,9] => [3,3,3,1,1,1] => [3,3,1,1,1] => 80
[[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,8,7,5,10,9,12,11] => [3,3,2,2,1,1] => [3,2,2,1,1] => 108
[[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5,8,10,9,7,12,11] => [3,3,2,2,1,1] => [3,2,2,1,1] => 108
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,4,3,1,6,5,8,7,10,12,11,9] => [3,3,2,2,1,1] => [3,2,2,1,1] => 108
[[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7,10,9,12,11] => [3,2,2,2,2,1] => [2,2,2,2,1] => 28
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5,10,12,11,9] => [3,3,2,2,1,1] => [3,2,2,1,1] => 108
[[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [2,1,4,3,6,8,7,5,10,9,12,11] => [3,2,2,2,2,1] => [2,2,2,2,1] => 28
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,3,6,5,8,10,9,7,12,11] => [3,2,2,2,2,1] => [2,2,2,2,1] => 28
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,7,10,12,11,9] => [3,2,2,2,2,1] => [2,2,2,2,1] => 28
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 1
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [2,1,3,4,5,6,8,7,9] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 5
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [2,1,3,4,5,6,8,9,7] => [3,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 5
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [3,2,1,5,4,6,7,8,9] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 5
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [6,5,4,3,2,1,8,7,9] => [2,2,2,2,1] => [2,2,2,1] => 9
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,1,1] => [1,1] => 1
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10] => [3,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [7,1,1] => [1,1] => 1
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [7,6,5,4,3,2,9,8,1] => [3,2,2,1,1] => [2,2,1,1] => 6
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,1] => [7,2] => [2] => 0
[.,[[[[[.,[.,[.,[.,.]]]],.],.],.],.]] => [5,4,3,2,6,7,8,9,1] => [6,2,1] => [2,1] => 1
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [6,5,4,3,2,7,8,9,1] => [5,2,2] => [2,2] => 1
[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => [7,6,5,4,3,2,8,9,1] => [4,2,2,1] => [2,2,1] => 3
[.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,10,1] => [8,2] => [2] => 0
[.,[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]] => [5,4,3,2,6,7,8,9,10,1] => [7,2,1] => [2,1] => 1
[.,[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]] => [6,5,4,3,2,7,8,9,10,1] => [6,2,2] => [2,2] => 1
[.,[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]] => [7,6,5,4,3,2,8,9,10,1] => [5,2,2,1] => [2,2,1] => 3
[.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]] => [8,7,6,5,4,3,2,9,10,1] => [4,2,2,2] => [2,2,2] => 3
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [2,2,2,2,1] => [2,2,2,1] => 9
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [3,2,2,2] => [2,2,2] => 3
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => 1
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [2,2,2,2,1,1] => [2,2,2,1,1] => 19
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9] => [2,2,2,2,1] => [2,2,2,1] => 9
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [2,2,2,2,1,1] => [2,2,2,1,1] => 19
[.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]] => [2,8,7,9,6,5,4,3,1] => [7,2] => [2] => 0
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [1,3,4,5,2,6,7,8,9] => [4,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [1,2,4,5,3,6,7,8,9] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [2,1,4,5,3,6,7,8,9] => [3,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [1,3,2,5,4,6,7,8,9] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 5
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [8,7,6,5,4,3,2,10,9,1] => [3,2,2,2,1] => [2,2,2,1] => 9
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [7,2] => [2] => 0
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [7,1,1] => [1,1] => 1
[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] => [2,1,8,9,7,6,5,4,3] => [4,2,2,1] => [2,2,1] => 3
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [6,7,8,5,4,3,2,1,9] => [4,2,2,1] => [2,2,1] => 3
[[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]],.] => [6,5,4,3,7,8,2,1,9] => [3,3,2,1] => [3,2,1] => 10
[[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.] => [6,5,4,3,2,7,8,1,9] => [4,2,2,1] => [2,2,1] => 3
[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [7,8,9,6,5,4,3,2,1,10] => [4,2,2,1,1] => [2,2,1,1] => 6
[[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]],.] => [7,6,8,9,5,4,3,2,1,10] => [8,1,1] => [1,1] => 1
[[.,[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]],.] => [7,6,5,8,9,4,3,2,1,10] => [5,4,1] => [4,1] => 2
[[.,[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]],.] => [7,6,5,4,8,9,3,2,1,10] => [8,1,1] => [1,1] => 1
[[.,[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]],.] => [7,6,5,4,3,8,9,2,1,10] => [3,3,2,1,1] => [3,2,1,1] => 23
[[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]],.] => [7,6,5,4,3,2,8,9,1,10] => [4,2,2,1,1] => [2,2,1,1] => 6
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 5
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 5
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [2,2,2,1,1,1] => [2,2,1,1,1] => 10
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 5
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 6
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 6
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 15
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 15
[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] => [10,9,11,8,7,6,5,4,3,2,1] => [6,2,2,1] => [2,2,1] => 3
[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [1,9,8,10,7,6,5,4,3,2] => [6,2,1,1] => [2,1,1] => 2
[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] => [2,8,9,7,6,5,4,3,1] => [5,2,2] => [2,2] => 1
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [4,2,2,2,1] => [2,2,2,1] => 9
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [5,2,2] => [2,2] => 1
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [4,1,1,1,1,1] => [1,1,1,1,1] => 1
[[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10,11] => [3,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9,10] => [4,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.] => [3,4,2,5,1,6,7,8,9] => [5,1,1,1,1] => [1,1,1,1] => 1
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [3,2,2,1,1] => [2,2,1,1] => 6
[[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]],.] => [6,5,8,7,4,3,2,1,9] => [4,4,1] => [4,1] => 2
[[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]],.] => [6,7,5,8,4,3,2,1,9] => [6,2,1] => [2,1] => 1
[[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]] => [4,3,2,1,8,9,7,6,5] => [4,2,2,1] => [2,2,1] => 3
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [2,3,1,5,4,6,7,8,9] => [3,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [4,5,3,2,1,6,7,8,9] => [4,1,1,1,1,1] => [1,1,1,1,1] => 1
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [7,1,1] => [1,1] => 1
[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.] => [5,4,3,2,1,8,7,6,9] => [2,2,2,1,1,1] => [2,2,1,1,1] => 10
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [7,6,5,4,3,2,1,9,8,10] => [2,2,2,2,1,1] => [2,2,2,1,1] => 19
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [4,2,2,1] => [2,2,1] => 3
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [2,8,7,6,5,4,3,1,9] => [3,2,2,1,1] => [2,2,1,1] => 6
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [7,2] => [2] => 0
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.] => [8,7,6,5,4,3,2,9,1,10] => [3,2,2,2,1] => [2,2,2,1] => 9
[[.,.],[[.,[[[[[.,.],.],.],.],.]],.]] => [1,4,5,6,7,8,3,9,2] => [5,3,1] => [3,1] => 2
[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,8,10,9,11] => [2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 1
[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]] => [2,1,3,5,6,7,8,9,4] => [6,2,1] => [2,1] => 1
[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.] => [5,6,4,3,2,1,7,8,9] => [4,2,1,1,1] => [2,1,1,1] => 3
[[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.],.] => [5,6,4,3,2,1,7,8,9,10] => [4,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.],.] => [6,7,5,4,3,2,1,8,9,10,11] => [4,2,1,1,1,1,1] => [2,1,1,1,1,1] => 5
[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.] => [6,7,5,4,3,2,1,8,9,10] => [4,2,1,1,1,1] => [2,1,1,1,1] => 4
[[[.,[[.,[.,[.,[[.,.],.]]]],.]],.],.] => [5,6,4,3,2,7,1,8,9] => [5,2,1,1] => [2,1,1] => 2
[[[.,.],.],[[[.,[[[.,.],.],.]],.],.]] => [1,2,5,6,7,4,8,9,3] => [5,2,1,1] => [2,1,1] => 2
[[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]] => [5,4,3,2,1,8,9,7,6] => [4,2,2,1] => [2,2,1] => 3
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searching the database for the individual values of this statistic
Description
The number of standard tableaux of shape equal to the given partition such that the minimal cyclic descent is odd.
To be precise, this is given for a partition $\lambda \vdash n$ by the number of standard tableaux $T$ of shape $\lambda$ such that $\min\big( \operatorname{Des}(T) \cup \{n\} \big)$ is odd.
The case of an even minimum is St000621The number of standard tableaux of shape equal to the given partition such that the minimal cyclic descent is even..
To be precise, this is given for a partition $\lambda \vdash n$ by the number of standard tableaux $T$ of shape $\lambda$ such that $\min\big( \operatorname{Des}(T) \cup \{n\} \big)$ is odd.
The case of an even minimum is St000621The number of standard tableaux of shape equal to the given partition such that the minimal cyclic descent is even..
Map
first row removal
Description
Removes the first entry of an integer partition
Map
cycle type
Description
The cycle type of a permutation as a partition.
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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