Identifier
-
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00108: Permutations —cycle type⟶ Integer partitions
Mp00202: Integer partitions —first row removal⟶ Integer partitions
St000206: Integer partitions ⟶ ℤ
Values
[[.,.],.] => [1,2] => [1,1] => [1] => 0
[.,[.,[.,.]]] => [3,2,1] => [2,1] => [1] => 0
[[.,.],[.,.]] => [1,3,2] => [2,1] => [1] => 0
[[.,[.,.]],.] => [2,1,3] => [2,1] => [1] => 0
[[[.,.],.],.] => [1,2,3] => [1,1,1] => [1,1] => 0
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [2,2] => [2] => 0
[.,[[.,.],[.,.]]] => [2,4,3,1] => [3,1] => [1] => 0
[.,[[.,[.,.]],.]] => [3,2,4,1] => [3,1] => [1] => 0
[[.,.],[.,[.,.]]] => [1,4,3,2] => [2,1,1] => [1,1] => 0
[[.,.],[[.,.],.]] => [1,3,4,2] => [3,1] => [1] => 0
[[.,[.,.]],[.,.]] => [2,1,4,3] => [2,2] => [2] => 0
[[[.,.],.],[.,.]] => [1,2,4,3] => [2,1,1] => [1,1] => 0
[[.,[.,[.,.]]],.] => [3,2,1,4] => [2,1,1] => [1,1] => 0
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,1] => [1] => 0
[[[.,.],[.,.]],.] => [1,3,2,4] => [2,1,1] => [1,1] => 0
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,1] => [1,1] => 0
[[[[.,.],.],.],.] => [1,2,3,4] => [1,1,1,1] => [1,1,1] => 0
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [2,2,1] => [2,1] => 0
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [4,1] => [1] => 0
[.,[.,[[[.,.],.],.]]] => [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] => 0
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [4,1] => [1] => 0
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [3,2] => [2] => 0
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [4,1] => [1] => 0
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [4,1] => [1] => 0
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [2,2,1] => [2,1] => 0
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [4,1] => [1] => 0
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [3,1,1] => [1,1] => 0
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [3,1,1] => [1,1] => 0
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [4,1] => [1] => 0
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [2,2,1] => [2,1] => 0
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [3,2] => [2] => 0
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [2,1,1,1] => [1,1,1] => 0
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [3,1,1] => [1,1] => 0
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [2,2,1] => [2,1] => 0
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [3,2] => [2] => 0
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [2,2,1] => [2,1] => 0
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [2,2,1] => [2,1] => 0
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [2,1,1,1] => [1,1,1] => 0
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [2,2,1] => [2,1] => 0
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [4,1] => [1] => 0
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [3,1,1] => [1,1] => 0
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [3,1,1] => [1,1] => 0
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,1] => [1] => 0
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [2,1,1,1] => [1,1,1] => 0
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [3,1,1] => [1,1] => 0
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [2,2,1] => [2,1] => 0
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [2,1,1,1] => [1,1,1] => 0
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [2,1,1,1] => [1,1,1] => 0
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,1,1] => [1,1] => 0
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [2,1,1,1] => [1,1,1] => 0
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,1,1] => [1,1,1] => 0
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,1,1,1,1] => [1,1,1,1] => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [2,2,2] => [2,2] => 0
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [4,2] => [2] => 0
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [4,2] => [2] => 0
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [5,1] => [1] => 0
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [3,2,1] => [2,1] => 0
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [3,3] => [3] => 0
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [5,1] => [1] => 0
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [3,2,1] => [2,1] => 0
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [4,2] => [2] => 0
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [3,3] => [3] => 0
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [3,2,1] => [2,1] => 0
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [5,1] => [1] => 0
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [4,2] => [2] => 0
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [3,2,1] => [2,1] => 0
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [5,1] => [1] => 0
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [4,2] => [2] => 0
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [3,2,1] => [2,1] => 0
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [5,1] => [1] => 0
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [4,1,1] => [1,1] => 0
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [4,1,1] => [1,1] => 0
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [5,1] => [1] => 0
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [3,2,1] => [2,1] => 0
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [5,1] => [1] => 0
[.,[[.,[[[.,.],.],.]],.]] => [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] => 0
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [5,1] => [1] => 0
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [4,2] => [2] => 0
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [5,1] => [1] => 0
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [5,1] => [1] => 0
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [2,2,1,1] => [2,1,1] => 0
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [4,1,1] => [1,1] => 0
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [5,1] => [1] => 0
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [5,1] => [1] => 0
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [3,2,1] => [2,1] => 0
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [3,2,1] => [2,1] => 0
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [5,1] => [1] => 0
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [3,1,1,1] => [1,1,1] => 0
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [4,1,1] => [1,1] => 0
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [3,2,1] => [2,1] => 0
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [5,1] => [1] => 0
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [4,1,1] => [1,1] => 0
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [4,1,1] => [1,1] => 0
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [5,1] => [1] => 0
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [2,2,2] => [2,2] => 0
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [4,2] => [2] => 0
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [3,2,1] => [2,1] => 0
>>> Load all 1842 entries. <<<[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [3,2,1] => [2,1] => 0
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [4,2] => [2] => 0
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [2,2,1,1] => [2,1,1] => 0
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [4,1,1] => [1,1] => 0
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [3,1,1,1] => [1,1,1] => 0
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [3,1,1,1] => [1,1,1] => 0
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [4,1,1] => [1,1] => 0
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [2,2,1,1] => [2,1,1] => 0
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [3,2,1] => [2,1] => 0
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [3,2,1] => [2,1] => 0
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [3,3] => [3] => 0
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [2,2,1,1] => [2,1,1] => 0
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [3,2,1] => [2,1] => 0
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [2,2,1,1] => [2,1,1] => 0
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [3,2,1] => [2,1] => 0
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [2,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [3,1,1,1] => [1,1,1] => 0
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [2,2,2] => [2,2] => 0
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [4,2] => [2] => 0
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [3,2,1] => [2,1] => 0
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [3,2,1] => [2,1] => 0
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [4,2] => [2] => 0
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [2,2,1,1] => [2,1,1] => 0
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [3,2,1] => [2,1] => 0
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [2,2,2] => [2,2] => 0
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [2,2,1,1] => [2,1,1] => 0
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [2,2,1,1] => [2,1,1] => 0
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [3,2,1] => [2,1] => 0
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [2,2,1,1] => [2,1,1] => 0
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [2,2,1,1] => [2,1,1] => 0
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [2,1,1,1,1] => [1,1,1,1] => 0
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [2,2,1,1] => [2,1,1] => 0
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [4,1,1] => [1,1] => 0
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [5,1] => [1] => 0
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [5,1] => [1] => 0
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [3,2,1] => [2,1] => 0
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [3,2,1] => [2,1] => 0
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [5,1] => [1] => 0
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [3,1,1,1] => [1,1,1] => 0
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [4,1,1] => [1,1] => 0
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [3,2,1] => [2,1] => 0
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [5,1] => [1] => 0
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [4,1,1] => [1,1] => 0
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [4,1,1] => [1,1] => 0
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,1] => [1] => 0
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [2,2,1,1] => [2,1,1] => 0
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [4,1,1] => [1,1] => 0
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [3,1,1,1] => [1,1,1] => 0
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [3,1,1,1] => [1,1,1] => 0
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [4,1,1] => [1,1] => 0
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [2,2,1,1] => [2,1,1] => 0
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [3,2,1] => [2,1] => 0
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [2,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [3,1,1,1] => [1,1,1] => 0
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [2,2,1,1] => [2,1,1] => 0
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [3,2,1] => [2,1] => 0
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [2,2,1,1] => [2,1,1] => 0
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [2,2,1,1] => [2,1,1] => 0
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [2,1,1,1,1] => [1,1,1,1] => 0
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [2,2,1,1] => [2,1,1] => 0
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [4,1,1] => [1,1] => 0
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [3,1,1,1] => [1,1,1] => 0
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [3,1,1,1] => [1,1,1] => 0
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [4,1,1] => [1,1] => 0
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [2,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [3,1,1,1] => [1,1,1] => 0
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [2,2,1,1] => [2,1,1] => 0
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [2,1,1,1,1] => [1,1,1,1] => 0
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [2,1,1,1,1] => [1,1,1,1] => 0
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,1,1,1] => [1,1,1] => 0
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [2,1,1,1,1] => [1,1,1,1] => 0
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,1,1,1] => [1,1,1,1] => 0
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,1,1,1,1] => 0
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [2,2,2,1] => [2,2,1] => 1
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [4,2,1] => [2,1] => 0
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [6,1] => [1] => 0
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [6,1] => [1] => 0
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [4,2,1] => [2,1] => 0
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [5,2] => [2] => 0
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[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [5,2] => [2] => 0
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [3,2,2] => [2,2] => 0
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[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [3,2,2] => [2,2] => 0
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[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [6,1] => [1] => 0
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [3,3,1] => [3,1] => 0
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [3,3,1] => [3,1] => 0
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[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [6,1] => [1] => 0
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [3,3,1] => [3,1] => 0
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[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [5,2] => [2] => 0
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [3,2,2] => [2,2] => 0
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [5,2] => [2] => 0
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [4,3] => [3] => 0
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[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [3,3,1] => [3,1] => 0
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [6,1] => [1] => 0
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [4,3] => [3] => 0
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [3,2,2] => [2,2] => 0
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [5,2] => [2] => 0
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [5,2] => [2] => 0
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[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,2,1] => [2,1] => 0
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[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [6,1] => [1] => 0
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [4,2,1] => [2,1] => 0
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [5,2] => [2] => 0
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [4,3] => [3] => 0
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [3,2,1,1] => [2,1,1] => 0
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [5,1,1] => [1,1] => 0
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [6,1] => [1] => 0
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [6,1] => [1] => 0
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [4,2,1] => [2,1] => 0
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [4,2,1] => [2,1] => 0
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [6,1] => [1] => 0
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [5,2] => [2] => 0
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [3,2,2] => [2,2] => 0
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [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] => 0
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [6,1] => [1] => 0
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [4,2,1] => [2,1] => 0
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [6,1] => [1] => 0
[.,[[[[.,.],.],.],[.,[.,.]]]] => [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] => 0
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [5,1,1] => [1,1] => 0
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [6,1] => [1] => 0
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [6,1] => [1] => 0
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [4,2,1] => [2,1] => 0
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => [2,1] => 0
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [6,1] => [1] => 0
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [4,1,1,1] => [1,1,1] => 0
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [5,1,1] => [1,1] => 0
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [4,2,1] => [2,1] => 0
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [6,1] => [1] => 0
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [5,1,1] => [1,1] => 0
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [5,1,1] => [1,1] => 0
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [6,1] => [1] => 0
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [3,2,2] => [2,2] => 0
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [5,2] => [2] => 0
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [5,2] => [2] => 0
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [6,1] => [1] => 0
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [4,2,1] => [2,1] => 0
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [4,3] => [3] => 0
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [6,1] => [1] => 0
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [4,2,1] => [2,1] => 0
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[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [4,3] => [3] => 0
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[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [5,2] => [2] => 0
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [4,2,1] => [2,1] => 0
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[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [4,2,1] => [2,1] => 0
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[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [2,2,2,1] => [2,2,1] => 1
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [4,2,1] => [2,1] => 0
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [6,1] => [1] => 0
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [6,1] => [1] => 0
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [4,2,1] => [2,1] => 0
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => [1,1] => 0
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [3,2,1,1] => [2,1,1] => 0
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [6,1] => [1] => 0
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [3,3,1] => [3,1] => 0
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [5,1,1] => [1,1] => 0
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [3,2,1,1] => [2,1,1] => 0
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,2,1] => [2,1] => 0
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [3,3,1] => [3,1] => 0
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[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [3,2,1,1] => [2,1,1] => 0
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [5,1,1] => [1,1] => 0
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [6,1] => [1] => 0
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [6,1] => [1] => 0
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [4,2,1] => [2,1] => 0
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [3,2,1,1] => [2,1,1] => 0
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [5,1,1] => [1,1] => 0
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,2,1] => [2,1] => 0
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [6,1] => [1] => 0
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [3,2,1,1] => [2,1,1] => 0
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [5,1,1] => [1,1] => 0
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [4,1,1,1] => [1,1,1] => 0
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [4,1,1,1] => [1,1,1] => 0
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [5,1,1] => [1,1] => 0
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [3,2,1,1] => [2,1,1] => 0
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [5,1,1] => [1,1] => 0
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [6,1] => [1] => 0
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [6,1] => [1] => 0
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [4,2,1] => [2,1] => 0
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,2,1] => [2,1] => 0
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [6,1] => [1] => 0
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [4,1,1,1] => [1,1,1] => 0
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [5,1,1] => [1,1] => 0
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [4,2,1] => [2,1] => 0
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [6,1] => [1] => 0
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [5,1,1] => [1,1] => 0
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [5,1,1] => [1,1] => 0
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [6,1] => [1] => 0
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [2,2,2,1] => [2,2,1] => 1
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => [2,1] => 0
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [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] => 0
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [3,2,2] => [2,2] => 0
[[.,[.,.]],[[.,.],[[.,.],.]]] => [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] => 0
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [4,2,1] => [2,1] => 0
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [3,2,2] => [2,2] => 0
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [5,2] => [2] => 0
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [4,2,1] => [2,1] => 0
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [4,2,1] => [2,1] => 0
[[.,[.,.]],[[[[.,.],.],.],.]] => [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] => 0
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => [1,1,1] => 0
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [5,1,1] => [1,1] => 0
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [5,1,1] => [1,1] => 0
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,2,1,1] => [2,1,1] => 0
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [3,2,1,1] => [2,1,1] => 0
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [5,1,1] => [1,1] => 0
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,1,1,1,1] => [1,1,1,1] => 0
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [4,1,1,1] => [1,1,1] => 0
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [3,2,1,1] => [2,1,1] => 0
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [5,1,1] => [1,1] => 0
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [4,1,1,1] => [1,1,1] => 0
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [4,1,1,1] => [1,1,1] => 0
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [5,1,1] => [1,1] => 0
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [2,2,2,1] => [2,2,1] => 1
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [4,2,1] => [2,1] => 0
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,2,1,1] => [2,1,1] => 0
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,2,1,1] => [2,1,1] => 0
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [4,2,1] => [2,1] => 0
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [3,2,2] => [2,2] => 0
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [4,3] => [3] => 0
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,3,1] => [3,1] => 0
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,3,1] => [3,1] => 0
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [4,3] => [3] => 0
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [2,2,2,1] => [2,2,1] => 1
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [4,2,1] => [2,1] => 0
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => [2,1,1] => 0
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => [2,1,1] => 0
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [4,2,1] => [2,1] => 0
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [2,2,2,1] => [2,2,1] => 1
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [4,2,1] => [2,1] => 0
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => [2,1,1] => 0
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => [2,1,1] => 0
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [4,2,1] => [2,1] => 0
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [4,1,1,1] => [1,1,1] => 0
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [4,1,1,1] => [1,1,1] => 0
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [2,2,2,1] => [2,2,1] => 1
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [3,2,2] => [2,2] => 0
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [4,2,1] => [2,1] => 0
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [4,3] => [3] => 0
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,2,1,1] => [2,1,1] => 0
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,3,1] => [3,1] => 0
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,2,1,1] => [2,1,1] => 0
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,3,1] => [3,1] => 0
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [4,2,1] => [2,1] => 0
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [4,3] => [3] => 0
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => [2,1,1] => 0
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => [2,1,1] => 0
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [3,3,1] => [3,1] => 0
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [2,2,2,1] => [2,2,1] => 1
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [3,2,2] => [2,2] => 0
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [3,2,1,1] => [2,1,1] => 0
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => [2,1,1] => 0
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => [2,1,1] => 0
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [3,3,1] => [3,1] => 0
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [3,2,1,1] => [2,1,1] => 0
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [3,2,1,1] => [2,1,1] => 0
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [2,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [3,1,1,1,1] => [1,1,1,1] => 0
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [2,2,2,1] => [2,2,1] => 1
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [4,2,1] => [2,1] => 0
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [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] => 0
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [3,2,2] => [2,2] => 0
[[.,[[.,.],[[.,.],.]]],[.,.]] => [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] => 0
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [4,2,1] => [2,1] => 0
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [3,2,2] => [2,2] => 0
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [5,2] => [2] => 0
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [4,2,1] => [2,1] => 0
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [4,2,1] => [2,1] => 0
[[.,[[[[.,.],.],.],.]],[.,.]] => [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] => 1
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [4,2,1] => [2,1] => 0
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => [2,1,1] => 0
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => [2,1,1] => 0
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [4,2,1] => [2,1] => 0
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [2,2,2,1] => [2,2,1] => 1
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [3,2,2] => [2,2] => 0
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [3,2,1,1] => [2,1,1] => 0
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [2,2,2,1] => [2,2,1] => 1
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [3,2,2] => [2,2] => 0
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => [2,2,1] => 1
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => [2,2,1] => 1
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [2,2,2,1] => [2,2,1] => 1
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [4,2,1] => [2,1] => 0
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,1,1] => [2,1,1] => 0
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [3,2,1,1] => [2,1,1] => 0
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [4,2,1] => [2,1] => 0
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [3,2,1,1] => [2,1,1] => 0
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => [2,2,1] => 1
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [3,2,1,1] => [2,1,1] => 0
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [2,1,1,1,1,1] => [1,1,1,1,1] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [2,2,2,1] => [2,2,1] => 1
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [4,2,1] => [2,1] => 0
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [6,1] => [1] => 0
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [6,1] => [1] => 0
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [4,2,1] => [2,1] => 0
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [5,1,1] => [1,1] => 0
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [3,2,1,1] => [2,1,1] => 0
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [6,1] => [1] => 0
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [3,3,1] => [3,1] => 0
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [5,1,1] => [1,1] => 0
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [3,2,1,1] => [2,1,1] => 0
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [4,2,1] => [2,1] => 0
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [3,3,1] => [3,1] => 0
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [6,1] => [1] => 0
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [3,2,1,1] => [2,1,1] => 0
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [5,1,1] => [1,1] => 0
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [6,1] => [1] => 0
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [6,1] => [1] => 0
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [4,2,1] => [2,1] => 0
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [3,2,1,1] => [2,1,1] => 0
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [5,1,1] => [1,1] => 0
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [4,2,1] => [2,1] => 0
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [6,1] => [1] => 0
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [3,2,1,1] => [2,1,1] => 0
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [5,1,1] => [1,1] => 0
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [4,1,1,1] => [1,1,1] => 0
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [4,1,1,1] => [1,1,1] => 0
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [5,1,1] => [1,1] => 0
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [3,2,1,1] => [2,1,1] => 0
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [5,1,1] => [1,1] => 0
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [6,1] => [1] => 0
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [6,1] => [1] => 0
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [4,2,1] => [2,1] => 0
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [4,2,1] => [2,1] => 0
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [6,1] => [1] => 0
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [4,1,1,1] => [1,1,1] => 0
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [5,1,1] => [1,1] => 0
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [4,2,1] => [2,1] => 0
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [6,1] => [1] => 0
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [5,1,1] => [1,1] => 0
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [5,1,1] => [1,1] => 0
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [6,1] => [1] => 0
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [4,1,1,1] => [1,1,1] => 0
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [5,1,1] => [1,1] => 0
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [5,1,1] => [1,1] => 0
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [3,2,1,1] => [2,1,1] => 0
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [3,2,1,1] => [2,1,1] => 0
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [5,1,1] => [1,1] => 0
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,1,1,1,1] => [1,1,1,1] => 0
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [4,1,1,1] => [1,1,1] => 0
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [3,2,1,1] => [2,1,1] => 0
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [5,1,1] => [1,1] => 0
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [4,1,1,1] => [1,1,1] => 0
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [4,1,1,1] => [1,1,1] => 0
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [5,1,1] => [1,1] => 0
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [2,2,2,1] => [2,2,1] => 1
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [4,2,1] => [2,1] => 0
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => [2,1,1] => 0
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [3,2,1,1] => [2,1,1] => 0
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [4,2,1] => [2,1] => 0
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [4,1,1,1] => [1,1,1] => 0
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [4,1,1,1] => [1,1,1] => 0
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,1] => [2,1,1] => 0
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,1] => [2,1,1] => 0
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [3,3,1] => [3,1] => 0
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [3,2,1,1] => [2,1,1] => 0
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [3,2,1,1] => [2,1,1] => 0
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [3,1,1,1,1] => [1,1,1,1] => 0
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [2,2,2,1] => [2,2,1] => 1
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [4,2,1] => [2,1] => 0
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,2,1,1] => [2,1,1] => 0
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [3,2,1,1] => [2,1,1] => 0
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [4,2,1] => [2,1] => 0
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [3,2,1,1] => [2,1,1] => 0
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => [2,2,1] => 1
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [3,2,1,1] => [2,1,1] => 0
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [4,1,1,1] => [1,1,1] => 0
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [5,1,1] => [1,1] => 0
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [5,1,1] => [1,1] => 0
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [3,2,1,1] => [2,1,1] => 0
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [3,2,1,1] => [2,1,1] => 0
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [5,1,1] => [1,1] => 0
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [3,1,1,1,1] => [1,1,1,1] => 0
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [4,1,1,1] => [1,1,1] => 0
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [3,2,1,1] => [2,1,1] => 0
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,1,1] => [1,1] => 0
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [4,1,1,1] => [1,1,1] => 0
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [4,1,1,1] => [1,1,1] => 0
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [5,1,1] => [1,1] => 0
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [4,1,1,1] => [1,1,1] => 0
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [3,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [3,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [4,1,1,1] => [1,1,1] => 0
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [3,2,1,1] => [2,1,1] => 0
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [3,1,1,1,1] => [1,1,1,1] => 0
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [3,2,1,1] => [2,1,1] => 0
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [4,1,1,1] => [1,1,1] => 0
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [3,1,1,1,1] => [1,1,1,1] => 0
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [3,1,1,1,1] => [1,1,1,1] => 0
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [4,1,1,1] => [1,1,1] => 0
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [3,1,1,1,1] => [1,1,1,1] => 0
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [2,2,1,1,1] => [2,1,1,1] => 0
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,1,1,1,1] => [1,1,1,1] => 0
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [2,2,2,2] => [2,2,2] => 1
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [4,2,2] => [2,2] => 0
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [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] => 0
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [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] => 0
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [4,4] => [4] => 0
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [7,1] => [1] => 0
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [5,2,1] => [2,1] => 0
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [7,1] => [1] => 0
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [5,3] => [3] => 0
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [3,3,2] => [3,2] => 1
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [7,1] => [1] => 0
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [5,2,1] => [2,1] => 0
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => [3,2,2,1] => [2,2,1] => 1
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [7,1] => [1] => 0
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [4,3,1] => [3,1] => 0
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [4,2,2] => [2,2] => 0
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [4,4] => [4] => 0
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [5,3] => [3] => 0
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [5,3] => [3] => 0
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [3,3,2] => [3,2] => 1
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [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] => 0
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [3,2,2,1] => [2,2,1] => 1
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [4,3,1] => [3,1] => 0
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [5,2,1] => [2,1] => 0
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [5,3] => [3] => 0
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [5,3] => [3] => 0
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [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] => 1
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [3,3,2] => [3,2] => 1
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [5,3] => [3] => 0
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [6,1,1] => [1,1] => 0
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [3,3,1,1] => [3,1,1] => 0
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [7,1] => [1] => 0
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [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] => 1
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [3,6,5,4,8,7,2,1] => [4,3,1] => [3,1] => 0
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [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] => 0
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1] => [7,1] => [1] => 0
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [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] => 0
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [3,2,2,1] => [2,2,1] => 1
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [5,2,1] => [2,1] => 0
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [4,3,1] => [3,1] => 0
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [7,1] => [1] => 0
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [4,7,6,5,3,8,2,1] => [6,2] => [2] => 0
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [5,3] => [3] => 0
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [5,3] => [3] => 0
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [4,2,2] => [2,2] => 0
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [4,3,1] => [3,1] => 0
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [7,1] => [1] => 0
[.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1] => [4,3,1] => [3,1] => 0
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [4,5,3,7,6,8,2,1] => [7,1] => [1] => 0
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [3,3,2] => [3,2] => 1
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1] => [7,1] => [1] => 0
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => [4,4] => [4] => 0
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [7,1] => [1] => 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] => 1
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [5,2,1] => [2,1] => 0
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [7,1] => [1] => 0
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [7,1] => [1] => 0
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [5,2,1] => [2,1] => 0
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [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] => 0
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [4,4] => [4] => 0
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [7,1] => [1] => 0
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,3,1] => [3,1] => 0
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [7,1] => [1] => 0
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [7,1] => [1] => 0
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,3,1] => [3,1] => 0
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [5,3] => [3] => 0
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [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] => 0
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [7,1] => [1] => 0
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [5,3] => [3] => 0
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [7,1] => [1] => 0
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [5,3] => [3] => 0
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [3,2,2,1] => [2,2,1] => 1
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [3,2,7,8,6,5,4,1] => [5,2,1] => [2,1] => 0
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [7,1] => [1] => 0
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [5,2,1] => [2,1] => 0
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [7,1] => [1] => 0
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [4,2,2] => [2,2] => 0
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [6,2] => [2] => 0
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [2,3,5,8,7,6,4,1] => [7,1] => [1] => 0
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [5,2,1] => [2,1] => 0
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [5,3] => [3] => 0
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [7,1] => [1] => 0
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [3,2,2,1] => [2,2,1] => 1
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [5,2,1] => [2,1] => 0
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [7,1] => [1] => 0
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [7,1] => [1] => 0
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [5,2,1] => [2,1] => 0
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [4,2,1,1] => [2,1,1] => 0
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,2,1] => [2,1] => 0
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [2,3,4,7,8,6,5,1] => [7,1] => [1] => 0
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [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] => 1
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [5,2,1] => [2,1] => 0
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [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] => 0
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [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] => 0
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,2,2] => [2,2] => 0
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [6,2] => [2] => 0
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [6,2] => [2] => 0
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [7,1] => [1] => 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] => 1
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [7,1] => [1] => 0
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [7,1] => [1] => 0
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1] => [5,2,1] => [2,1] => 0
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [6,1,1] => [1,1] => 0
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => [2,1,1] => 0
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [7,1] => [1] => 0
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [6,1,1] => [1,1] => 0
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [4,2,1,1] => [2,1,1] => 0
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [3,4,5,6,2,8,7,1] => [7,1] => [1] => 0
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [4,2,1,1] => [2,1,1] => 0
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [7,1] => [1] => 0
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [5,2,1] => [2,1] => 0
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,1,1] => [2,1,1] => 0
[.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [7,1] => [1] => 0
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,1,1] => [2,1,1] => 0
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [3,4,2,6,5,8,7,1] => [6,1,1] => [1,1] => 0
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [5,1,1,1] => [1,1,1] => 0
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [5,1,1,1] => [1,1,1] => 0
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [6,1,1] => [1,1] => 0
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [4,2,1,1] => [2,1,1] => 0
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [7,1] => [1] => 0
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [5,1,1,1] => [1,1,1] => 0
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [5,2,1] => [2,1] => 0
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [7,1] => [1] => 0
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [6,1,1] => [1,1] => 0
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [6,1,1] => [1,1] => 0
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [7,1] => [1] => 0
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [3,2,2,1] => [2,2,1] => 1
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [5,2,1] => [2,1] => 0
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [7,1] => [1] => 0
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [7,1] => [1] => 0
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [5,2,1] => [2,1] => 0
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [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] => 0
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [4,4] => [4] => 0
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [4,4] => [4] => 0
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [7,1] => [1] => 0
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [4,3,6,7,5,2,8,1] => [4,3,1] => [3,1] => 0
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1] => [4,3,1] => [3,1] => 0
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => [7,1] => [1] => 0
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [5,3] => [3] => 0
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [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] => 0
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [7,1] => [1] => 0
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [5,3] => [3] => 0
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [4,3,1] => [3,1] => 0
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [7,1] => [1] => 0
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [5,3] => [3] => 0
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [4,2,2] => [2,2] => 0
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [5,2,1] => [2,1] => 0
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [6,2] => [2] => 0
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [5,3] => [3] => 0
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [4,2,1,1] => [2,1,1] => 0
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [6,1,1] => [1,1] => 0
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [7,1] => [1] => 0
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [5,2,1] => [2,1] => 0
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [6,2] => [2] => 0
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [7,1] => [1] => 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] => 0
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [7,1] => [1] => 0
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [5,1,1,1] => [1,1,1] => 0
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [6,1,1] => [1,1] => 0
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [5,2,1] => [2,1] => 0
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [6,1,1] => [1,1] => 0
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [6,1,1] => [1,1] => 0
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [7,1] => [1] => 0
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [4,2,2] => [2,2] => 0
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [6,2] => [2] => 0
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [3,6,5,4,2,7,8,1] => [7,1] => [1] => 0
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [5,3] => [3] => 0
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [7,1] => [1] => 0
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [5,3] => [3] => 0
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [5,2,1] => [2,1] => 0
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => [7,1] => [1] => 0
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [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] => 0
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [7,1] => [1] => 0
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [6,1,1] => [1,1] => 0
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [7,1] => [1] => 0
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [5,2,1] => [2,1] => 0
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [7,1] => [1] => 0
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [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] => 0
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [7,1] => [1] => 0
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [6,2] => [2] => 0
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [7,1] => [1] => 0
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [7,1] => [1] => 0
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [2,2,2,1,1] => [2,2,1,1] => 1
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [4,2,1,1] => [2,1,1] => 0
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1] => [1,1] => 0
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [6,1,1] => [1,1] => 0
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [4,2,1,1] => [2,1,1] => 0
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [7,1] => [1] => 0
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [4,3,1] => [3,1] => 0
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [7,1] => [1] => 0
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [5,2,1] => [2,1] => 0
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [3,2,2,1] => [2,2,1] => 1
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [7,1] => [1] => 0
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [4,3,1] => [3,1] => 0
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [5,2,1] => [2,1] => 0
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [3,2,2,1] => [2,2,1] => 1
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [4,3,1] => [3,1] => 0
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [7,1] => [1] => 0
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [3,3,1,1] => [3,1,1] => 0
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [5,2,1] => [2,1] => 0
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [4,2,1,1] => [2,1,1] => 0
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [6,1,1] => [1,1] => 0
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [3,3,1,1] => [3,1,1] => 0
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,5,6,4,7,8,3,2] => [6,1,1] => [1,1] => 0
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => [7,1] => [1] => 0
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [4,3,1] => [3,1] => 0
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [3,2,2,1] => [2,2,1] => 1
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,2,1] => [2,1] => 0
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [7,1] => [1] => 0
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [5,2,1] => [2,1] => 0
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [6,1,1] => [1,1] => 0
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,2,1,1] => [2,1,1] => 0
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,3,1] => [3,1] => 0
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,2,1,1] => [2,1,1] => 0
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,3,1] => [3,1] => 0
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [7,1] => [1] => 0
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [3,2,1,1,1] => [2,1,1,1] => 0
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [5,1,1,1] => [1,1,1] => 0
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [4,2,1,1] => [2,1,1] => 0
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [7,1] => [1] => 0
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [5,2,1] => [2,1] => 0
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [3,2,2,1] => [2,2,1] => 1
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [5,2,1] => [2,1] => 0
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [7,1] => [1] => 0
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => [2,1,1] => 0
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [6,1,1] => [1,1] => 0
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [5,2,1] => [2,1] => 0
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [7,1] => [1] => 0
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [3,2,1,1,1] => [2,1,1,1] => 0
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [5,1,1,1] => [1,1,1] => 0
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => [2,1,1] => 0
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [4,1,1,1,1] => [1,1,1,1] => 0
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [6,1,1] => [1,1] => 0
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [6,1,1] => [1,1] => 0
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [3,2,2,1] => [2,2,1] => 1
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [5,2,1] => [2,1] => 0
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [7,1] => [1] => 0
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,5,6,7,4,3,8,2] => [5,2,1] => [2,1] => 0
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,2,1,1] => [2,1,1] => 0
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [4,2,1,1] => [2,1,1] => 0
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [5,2,1] => [2,1] => 0
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [4,3,1] => [3,1] => 0
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [7,1] => [1] => 0
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [5,2,1] => [2,1] => 0
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [5,2,1] => [2,1] => 0
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [7,1] => [1] => 0
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [5,1,1,1] => [1,1,1] => 0
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [7,1] => [1] => 0
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [5,1,1,1] => [1,1,1] => 0
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [6,1,1] => [1,1] => 0
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [5,2,1] => [2,1] => 0
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [7,1] => [1] => 0
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [6,1,1] => [1,1] => 0
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [7,1] => [1] => 0
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [2,2,2,2] => [2,2,2] => 1
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [4,2,2] => [2,2] => 0
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [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] => 0
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => [2,1] => 0
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [3,2,2,1] => [2,2,1] => 1
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [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] => 1
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => [2,1] => 0
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [3,2,2,1] => [2,2,1] => 1
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,2] => [2,2] => 0
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [3,3,2] => [3,2] => 1
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [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] => 1
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [5,2,1] => [2,1] => 0
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [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] => 1
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [5,2,1] => [2,1] => 0
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,2] => [2,2] => 0
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [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] => 0
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [4,2,1,1] => [2,1,1] => 0
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [5,2,1] => [2,1] => 0
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [3,2,2,1] => [2,2,1] => 1
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [5,2,1] => [2,1] => 0
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [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] => 0
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,2] => [2,2] => 0
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [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] => 0
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [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] => 0
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [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] => 1
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,2,7,6,8,5,4,3] => [6,1,1] => [1,1] => 0
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [6,1,1] => [1,1] => 0
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [3,3,1,1] => [3,1,1] => 0
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => [1,1,1] => 0
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [3,3,1,1] => [3,1,1] => 0
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [6,1,1] => [1,1] => 0
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [6,1,1] => [1,1] => 0
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,2,5,4,7,8,6,3] => [5,1,1,1] => [1,1,1] => 0
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [6,1,1] => [1,1] => 0
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,2,4,6,5,8,7,3] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [5,1,1,1] => [1,1,1] => 0
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [6,1,1] => [1,1] => 0
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => [6,1,1] => [1,1] => 0
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [5,1,1,1] => [1,1,1] => 0
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [6,1,1] => [1,1] => 0
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [2,2,2,1,1] => [2,2,1,1] => 1
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,2,1,1] => [2,1,1] => 0
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [5,2,1] => [2,1] => 0
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,2,2,1] => [2,2,1] => 1
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [5,2,1] => [2,1] => 0
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,2,1,1,1] => [2,1,1,1] => 0
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [3,2,2,1] => [2,2,1] => 1
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [5,2,1] => [2,1] => 0
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [3,2,2,1] => [2,2,1] => 1
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [2,3,1,7,8,6,5,4] => [4,3,1] => [3,1] => 0
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [5,3] => [3] => 0
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [5,3] => [3] => 0
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,3,2] => [3,2] => 1
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [5,3] => [3] => 0
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,3,1,1] => [3,1,1] => 0
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [3,3,2] => [3,2] => 1
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [5,3] => [3] => 0
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [4,3,1] => [3,1] => 0
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [5,3] => [3] => 0
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [5,2,1] => [2,1] => 0
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [5,2,1] => [2,1] => 0
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [3,2,2,1] => [2,2,1] => 1
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [5,2,1] => [2,1] => 0
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [3,2,2,1] => [2,2,1] => 1
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [5,2,1] => [2,1] => 0
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [5,2,1] => [2,1] => 0
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => [2,1,1] => 0
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [5,2,1] => [2,1] => 0
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => [3,2,2,1] => [2,2,1] => 1
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [5,2,1] => [2,1] => 0
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [5,1,1,1] => [1,1,1] => 0
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [5,1,1,1] => [1,1,1] => 0
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [5,1,1,1] => [1,1,1] => 0
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [5,1,1,1] => [1,1,1] => 0
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [5,1,1,1] => [1,1,1] => 0
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [2,2,2,2] => [2,2,2] => 1
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,2,2] => [2,2] => 0
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [3,2,2,1] => [2,2,1] => 1
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,2] => [2,2] => 0
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,2,2] => [2,2] => 0
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [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] => 0
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [4,3,1] => [3,1] => 0
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [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] => 1
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [4,3,1] => [3,1] => 0
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => [3,1,1] => 0
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => [3,1,1] => 0
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [4,3,1] => [3,1] => 0
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [3,2,2,1] => [2,2,1] => 1
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [4,3,1] => [3,1] => 0
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => [3,1,1] => 0
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => [3,1,1] => 0
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [4,3,1] => [3,1] => 0
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,2] => [2,2] => 0
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [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] => 0
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [4,3,1] => [3,1] => 0
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [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] => 1
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [3,2,2,1] => [2,2,1] => 1
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [4,3,1] => [3,1] => 0
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,3,1,1] => [3,1,1] => 0
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,3,1,1] => [3,1,1] => 0
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [4,3,1] => [3,1] => 0
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [2,2,2,2] => [2,2,2] => 1
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [4,2,2] => [2,2] => 0
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => [2,2,1] => 1
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => [2,2,1] => 1
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [4,2,2] => [2,2] => 0
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [4,2,1,1] => [2,1,1] => 0
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [4,2,1,1] => [2,1,1] => 0
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [4,2,1,1] => [2,1,1] => 0
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [4,2,1,1] => [2,1,1] => 0
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [3,2,2,1] => [2,2,1] => 1
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [4,3,1] => [3,1] => 0
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,3,1,1] => [3,1,1] => 0
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [4,3,1] => [3,1] => 0
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [4,2,1,1] => [2,1,1] => 0
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [4,2,1,1] => [2,1,1] => 0
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [4,2,1,1] => [2,1,1] => 0
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [4,1,1,1,1] => [1,1,1,1] => 0
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [2,2,2,1,1] => [2,2,1,1] => 1
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [3,2,2,1] => [2,2,1] => 1
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,2,1,1] => [2,1,1] => 0
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [5,2,1] => [2,1] => 0
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [5,3] => [3] => 0
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [5,2,1] => [2,1] => 0
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,2,2,1] => [2,2,1] => 1
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [3,2,2,1] => [2,2,1] => 1
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [3,3,2] => [3,2] => 1
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [5,2,1] => [2,1] => 0
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [5,3] => [3] => 0
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,2,1,1,1] => [2,1,1,1] => 0
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,3,1,1] => [3,1,1] => 0
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [4,2,1,1] => [2,1,1] => 0
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [3,2,2,1] => [2,2,1] => 1
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [3,3,2] => [3,2] => 1
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [5,2,1] => [2,1] => 0
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [5,3] => [3] => 0
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [4,2,1,1] => [2,1,1] => 0
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [4,3,1] => [3,1] => 0
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [4,2,1,1] => [2,1,1] => 0
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [5,2,1] => [2,1] => 0
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [5,3] => [3] => 0
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [3,2,2,1] => [2,2,1] => 1
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [4,3,1] => [3,1] => 0
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,3,1,1] => [3,1,1] => 0
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [4,3,1] => [3,1] => 0
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => [2,2,1] => 1
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [3,3,1,1] => [3,1,1] => 0
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [3,2,2,1] => [2,2,1] => 1
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [3,2,2,1] => [2,2,1] => 1
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [3,2,2,1] => [2,2,1] => 1
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,3,1,1] => [3,1,1] => 0
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [4,2,1,1] => [2,1,1] => 0
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [4,3,1] => [3,1] => 0
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [3,3,1,1] => [3,1,1] => 0
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [3,2,2,1] => [2,2,1] => 1
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [3,3,1,1] => [3,1,1] => 0
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [3,1,1,1,1,1] => [1,1,1,1,1] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [2,2,2,2] => [2,2,2] => 1
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [4,2,2] => [2,2] => 0
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [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] => 0
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [5,2,1] => [2,1] => 0
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [3,2,2,1] => [2,2,1] => 1
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [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] => 1
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [5,2,1] => [2,1] => 0
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [3,2,2,1] => [2,2,1] => 1
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [3,3,2] => [3,2] => 1
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [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] => 1
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [5,2,1] => [2,1] => 0
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [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] => 0
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,2] => [2,2] => 0
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [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] => 1
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [5,2,1] => [2,1] => 0
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [4,2,1,1] => [2,1,1] => 0
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [3,2,2,1] => [2,2,1] => 1
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [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] => 0
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,2] => [2,2] => 0
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [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] => 0
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [4,2,2] => [2,2] => 0
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [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] => 0
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [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] => 1
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [5,2,1] => [2,1] => 0
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [3,2,2,1] => [2,2,1] => 1
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [5,2,1] => [2,1] => 0
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [2,2,2,2] => [2,2,2] => 1
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [4,2,2] => [2,2] => 0
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => [2,2,1] => 1
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => [2,2,1] => 1
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [4,2,2] => [2,2] => 0
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [4,2,1,1] => [2,1,1] => 0
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => [2,2,1] => 1
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [3,2,2,1] => [2,2,1] => 1
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [3,2,2,1] => [2,2,1] => 1
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [2,2,2,2] => [2,2,2] => 1
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [4,2,2] => [2,2] => 0
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => [2,2,1] => 1
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => [2,2,1] => 1
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [4,2,2] => [2,2] => 0
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [3,2,2,1] => [2,2,1] => 1
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => [2,2,2] => 1
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [3,2,2,1] => [2,2,1] => 1
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [4,2,1,1] => [2,1,1] => 0
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [5,2,1] => [2,1] => 0
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [5,2,1] => [2,1] => 0
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [3,2,2,1] => [2,2,1] => 1
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [3,2,2,1] => [2,2,1] => 1
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [5,2,1] => [2,1] => 0
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [4,2,1,1] => [2,1,1] => 0
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [4,2,1,1] => [2,1,1] => 0
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [5,2,1] => [2,1] => 0
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [4,2,1,1] => [2,1,1] => 0
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [3,2,2,1] => [2,2,1] => 1
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [4,2,1,1] => [2,1,1] => 0
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [2,2,2,1,1] => [2,2,1,1] => 1
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [4,2,1,1] => [2,1,1] => 0
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [6,1,1] => [1,1] => 0
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [6,1,1] => [1,1] => 0
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [4,2,1,1] => [2,1,1] => 0
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [7,1] => [1] => 0
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => [5,2,1] => [2,1] => 0
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [4,3,1] => [3,1] => 0
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [7,1] => [1] => 0
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [7,1] => [1] => 0
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [5,2,1] => [2,1] => 0
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [3,2,2,1] => [2,2,1] => 1
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [7,1] => [1] => 0
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [4,3,1] => [3,1] => 0
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [4,3,1] => [3,1] => 0
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [3,5,6,7,4,2,1,8] => [7,1] => [1] => 0
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [6,1,1] => [1,1] => 0
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [3,3,1,1] => [3,1,1] => 0
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [6,1,1] => [1,1] => 0
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [4,3,1] => [3,1] => 0
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [5,2,1] => [2,1] => 0
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [3,2,2,1] => [2,2,1] => 1
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [4,3,1] => [3,1] => 0
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8] => [6,1,1] => [1,1] => 0
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => [4,3,1] => [3,1] => 0
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [3,3,1,1] => [3,1,1] => 0
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [4,3,1] => [3,1] => 0
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [3,2,2,1] => [2,2,1] => 1
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [5,2,1] => [2,1] => 0
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [2,5,6,7,4,3,1,8] => [5,2,1] => [2,1] => 0
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [4,2,1,1] => [2,1,1] => 0
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [7,1] => [1] => 0
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [4,2,1,1] => [2,1,1] => 0
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [4,3,1] => [3,1] => 0
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [7,1] => [1] => 0
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [5,1,1,1] => [1,1,1] => 0
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [6,1,1] => [1,1] => 0
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [6,1,1] => [1,1] => 0
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [4,2,1,1] => [2,1,1] => 0
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [4,2,1,1] => [2,1,1] => 0
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [6,1,1] => [1,1] => 0
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [7,1] => [1] => 0
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [7,1] => [1] => 0
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [5,2,1] => [2,1] => 0
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [5,2,1] => [2,1] => 0
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [5,2,1] => [2,1] => 0
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [7,1] => [1] => 0
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [6,1,1] => [1,1] => 0
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [5,2,1] => [2,1] => 0
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [7,1] => [1] => 0
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [5,1,1,1] => [1,1,1] => 0
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [6,1,1] => [1,1] => 0
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [6,1,1] => [1,1] => 0
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => [4,2,1,1] => [2,1,1] => 0
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [4,2,1,1] => [2,1,1] => 0
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [6,1,1] => [1,1] => 0
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [6,1,1] => [1,1] => 0
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [3,2,2,1] => [2,2,1] => 1
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [5,2,1] => [2,1] => 0
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [7,1] => [1] => 0
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [3,6,5,4,2,7,1,8] => [6,1,1] => [1,1] => 0
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [4,2,1,1] => [2,1,1] => 0
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [6,1,1] => [1,1] => 0
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [4,2,1,1] => [2,1,1] => 0
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [5,2,1] => [2,1] => 0
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [4,3,1] => [3,1] => 0
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [7,1] => [1] => 0
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [7,1] => [1] => 0
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [4,2,1,1] => [2,1,1] => 0
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => [4,2,1,1] => [2,1,1] => 0
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [6,1,1] => [1,1] => 0
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [5,1,1,1] => [1,1,1] => 0
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [6,1,1] => [1,1] => 0
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [4,2,1,1] => [2,1,1] => 0
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [5,2,1] => [2,1] => 0
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => [5,2,1] => [2,1] => 0
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [5,2,1] => [2,1] => 0
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [7,1] => [1] => 0
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [6,1,1] => [1,1] => 0
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [7,1] => [1] => 0
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [6,1,1] => [1,1] => 0
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,1,1,1] => [1,1,1] => 0
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [3,3,1,1] => [3,1,1] => 0
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8] => [6,1,1] => [1,1] => 0
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [5,1,1,1] => [1,1,1] => 0
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [6,1,1] => [1,1] => 0
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [6,1,1] => [1,1] => 0
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [6,1,1] => [1,1] => 0
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [5,1,1,1] => [1,1,1] => 0
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [6,1,1] => [1,1] => 0
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [6,1,1] => [1,1] => 0
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [6,1,1] => [1,1] => 0
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [6,1,1] => [1,1] => 0
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => [3,2,2,1] => [2,2,1] => 1
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [2,1,5,4,6,7,3,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [5,2,1] => [2,1] => 0
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [5,1,1,1] => [1,1,1] => 0
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [5,1,1,1] => [1,1,1] => 0
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [5,1,1,1] => [1,1,1] => 0
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [5,1,1,1] => [1,1,1] => 0
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [3,2,1,6,5,7,4,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [4,3,1] => [3,1] => 0
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,3,1,1] => [3,1,1] => 0
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [4,3,1] => [3,1] => 0
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [4,2,1,1] => [2,1,1] => 0
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [4,2,1,1] => [2,1,1] => 0
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [4,2,1,1] => [2,1,1] => 0
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [3,3,1,1] => [3,1,1] => 0
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [4,3,1] => [3,1] => 0
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [3,3,1,1] => [3,1,1] => 0
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [2,1,4,3,6,7,5,8] => [3,2,2,1] => [2,2,1] => 1
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [3,3,1,1] => [3,1,1] => 0
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [5,2,1] => [2,1] => 0
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [3,2,2,1] => [2,2,1] => 1
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [3,2,2,1] => [2,2,1] => 1
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [5,2,1] => [2,1] => 0
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [5,2,1] => [2,1] => 0
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [5,2,1] => [2,1] => 0
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [4,2,1,1] => [2,1,1] => 0
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [4,2,1,1] => [2,1,1] => 0
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [3,2,2,1] => [2,2,1] => 1
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [4,2,1,1] => [2,1,1] => 0
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [6,1,1] => [1,1] => 0
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [4,3,6,5,2,1,7,8] => [6,1,1] => [1,1] => 0
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [6,1,1] => [1,1] => 0
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [6,1,1] => [1,1] => 0
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [6,1,1] => [1,1] => 0
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8] => [6,1,1] => [1,1] => 0
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [6,1,1] => [1,1] => 0
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [4,2,1,1] => [2,1,1] => 0
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [6,1,1] => [1,1] => 0
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [6,1,1] => [1,1] => 0
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,4,5,6,3,2,7,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [4,2,1,1] => [2,1,1] => 0
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [3,3,1,1] => [3,1,1] => 0
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [4,2,1,1] => [2,1,1] => 0
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,2,2,1,1] => [2,2,1,1] => 1
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [5,1,1,1] => [1,1,1] => 0
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [3,2,1,1,1] => [2,1,1,1] => 0
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [4,1,1,1,1] => [1,1,1,1] => 0
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [2,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 0
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [2,2,2,2,1] => [2,2,2,1] => 7
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [4,2,2,1] => [2,2,1] => 1
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [4,2,2,1] => [2,2,1] => 1
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [6,3] => [3] => 0
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [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] => 0
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [2,2,2,2,2] => [2,2,2,2] => 8
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [4,2,2,2] => [2,2,2] => 1
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [6,2,1] => [2,1] => 0
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [4,4,2] => [4,2] => 3
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [3,5,6,7,8,9,4,2,1] => [4,3,2] => [3,2] => 1
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [6,4] => [4] => 0
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [8,1] => [1] => 0
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [6,2,1] => [2,1] => 0
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [8,1] => [1] => 0
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [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] => 0
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [3,2,2,2] => [2,2,2] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [2,2,2,2,1] => [2,2,2,1] => 7
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [6,2,2] => [2,2] => 0
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [6,8,7,9,5,4,3,2,1] => [4,2,2,1] => [2,2,1] => 1
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [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] => 1
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [4,8,7,6,5,9,3,2,1] => [4,2,2,1] => [2,2,1] => 1
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [9,1] => [1] => 0
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [3,8,7,6,5,4,9,2,1] => [4,2,2,1] => [2,2,1] => 1
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [7,2,1] => [2,1] => 0
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [2,8,7,6,5,4,3,9,1] => [4,2,2,1] => [2,2,1] => 1
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [5,2,2,1] => [2,2,1] => 1
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [2,2,2,1,1,1] => [2,2,1,1,1] => 1
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [3,2,2,2,1] => [2,2,2,1] => 7
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [2,2,2,2,1,1] => [2,2,2,1,1] => 8
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [9,1] => [1] => 0
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [1,6,7,5,8,4,9,3,10,2] => [9,1] => [1] => 0
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [9,1] => [1] => 0
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,10,9,1] => [6,1,1,1,1] => [1,1,1,1] => 0
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,1,4,6,5,3,8,10,9,7] => [3,3,2,1,1] => [3,2,1,1] => 8
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [2,1,4,6,5,3,8,7,10,9] => [3,2,2,2,1] => [2,2,2,1] => 7
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,9,8,1,10] => [5,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => [2,2,2,2] => 8
[.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,10,9,12,11,1] => [7,1,1,1,1,1] => [1,1,1,1,1] => 0
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.] => [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] => 0
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 0
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [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] => 0
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [8,1] => [1] => 0
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [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] => 0
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [2,3,1,4,5,6,7,9,8] => [3,2,1,1,1,1] => [2,1,1,1,1] => 0
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [2,4,3,5,6,7,8,9,1] => [8,1] => [1] => 0
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [9,1] => [1] => 0
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [4,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [5,1,1,1,1] => [1,1,1,1] => 0
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [6,1,1,1] => [1,1,1] => 0
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [7,1,1] => [1,1] => 0
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [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] => 0
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [4,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,4,7,6,8,9,5] => [4,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [5,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,2,3,6,5,7,8,9,4] => [5,1,1,1,1] => [1,1,1,1] => 0
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [6,1,1,1,1] => [1,1,1,1] => 0
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [1,2,5,4,6,7,8,9,3] => [6,1,1,1] => [1,1,1] => 0
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [7,1,1,1] => [1,1,1] => 0
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [7,1,1] => [1,1] => 0
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [8,1,1] => [1,1] => 0
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [9,1] => [1] => 0
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [2,2,2,2,1] => [2,2,2,1] => 7
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [4,2,2,1] => [2,2,1] => 1
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,8,9,7,6,5,4,3,2] => [4,2,2,1] => [2,2,1] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [2,2,2,2,1,1] => [2,2,2,1,1] => 8
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [4,2,2,1,1] => [2,2,1,1] => 1
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [6,2,1] => [2,1] => 0
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,8,7,9,6,5,4,3,2] => [6,2,1] => [2,1] => 0
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,9,10,8,7,6,5,4,3,2] => [4,2,2,1,1] => [2,2,1,1] => 1
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [6,3,1] => [3,1] => 0
[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [3,2,7,6,8,5,9,4,10,1] => [5,4,1] => [4,1] => 0
[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [3,2,6,5,8,7,9,4,10,1] => [6,3,1] => [3,1] => 0
[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [3,2,5,4,8,7,9,6,10,1] => [8,1,1] => [1,1] => 0
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [5,4,6,3,7,2,9,8,10,1] => [5,4,1] => [4,1] => 0
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [4,3,6,5,7,2,9,8,10,1] => [6,3,1] => [3,1] => 0
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [3,2,6,5,7,4,9,8,10,1] => [8,1,1] => [1,1] => 0
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [4,3,5,2,7,6,9,8,10,1] => [8,1,1] => [1,1] => 0
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,9,8,10,1] => [6,1,1,1,1] => [1,1,1,1] => 0
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [2,1,7,6,8,5,9,4,10,3] => [4,4,2] => [4,2] => 3
[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [2,1,6,5,8,7,9,4,10,3] => [5,3,2] => [3,2] => 1
[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [2,1,5,4,8,7,9,6,10,3] => [7,2,1] => [2,1] => 0
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [2,1,6,5,7,4,9,8,10,3] => [7,2,1] => [2,1] => 0
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [2,1,5,4,7,6,9,8,10,3] => [5,2,1,1,1] => [2,1,1,1] => 0
[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [3,2,4,1,8,7,9,6,10,5] => [6,3,1] => [3,1] => 0
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [3,2,4,1,7,6,9,8,10,5] => [4,3,1,1,1] => [3,1,1,1] => 0
[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,4,3,8,7,9,6,10,5] => [6,2,2] => [2,2] => 0
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,4,3,7,6,9,8,10,5] => [4,2,2,1,1] => [2,2,1,1] => 1
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [4,3,5,2,6,1,9,8,10,7] => [6,3,1] => [3,1] => 0
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [3,2,5,4,6,1,9,8,10,7] => [4,3,1,1,1] => [3,1,1,1] => 0
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [2,1,5,4,6,3,9,8,10,7] => [3,3,2,1,1] => [3,2,1,1] => 8
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [3,2,4,1,6,5,9,8,10,7] => [3,3,2,1,1] => [3,2,1,1] => 8
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,6,5,9,8,10,7] => [3,2,2,2,1] => [2,2,2,1] => 7
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [5,4,6,3,7,2,8,1,10,9] => [4,4,2] => [4,2] => 3
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [4,3,6,5,7,2,8,1,10,9] => [5,3,2] => [3,2] => 1
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [3,2,6,5,7,4,8,1,10,9] => [7,2,1] => [2,1] => 0
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [4,3,5,2,7,6,8,1,10,9] => [7,2,1] => [2,1] => 0
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,7,6,8,1,10,9] => [5,2,1,1,1] => [2,1,1,1] => 0
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [2,1,6,5,7,4,8,3,10,9] => [6,2,2] => [2,2] => 0
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [2,1,5,4,7,6,8,3,10,9] => [4,2,2,1,1] => [2,2,1,1] => 1
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [3,2,4,1,7,6,8,5,10,9] => [3,3,2,1,1] => [3,2,1,1] => 8
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,4,3,7,6,8,5,10,9] => [3,2,2,2,1] => [2,2,2,1] => 7
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [4,3,5,2,6,1,8,7,10,9] => [6,2,2] => [2,2] => 0
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [3,2,5,4,6,1,8,7,10,9] => [4,2,2,1,1] => [2,2,1,1] => 1
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [2,1,5,4,6,3,8,7,10,9] => [3,2,2,2,1] => [2,2,2,1] => 7
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7,10,9] => [3,2,2,2,1] => [2,2,2,1] => 7
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [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] => 16
[.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]] => [6,5,7,4,9,8,10,3,11,2,12,1] => [11,1] => [1] => 0
[.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]] => [5,4,7,6,9,8,10,3,11,2,12,1] => [7,5] => [5] => 0
[.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]] => [4,3,8,7,9,6,10,5,11,2,12,1] => [11,1] => [1] => 0
[.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]] => [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] => 0
[.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]] => [4,3,6,5,9,8,10,7,11,2,12,1] => [6,6] => [6] => 0
[.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]] => [6,5,7,4,8,3,10,9,11,2,12,1] => [11,1] => [1] => 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] => 0
[.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [3,2,8,7,9,6,10,5,11,4,12,1] => [7,3,1,1] => [3,1,1] => 0
[.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [3,2,7,6,9,8,10,5,11,4,12,1] => [11,1] => [1] => 0
[.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [3,2,6,5,9,8,10,7,11,4,12,1] => [11,1] => [1] => 0
[.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [3,2,7,6,8,5,10,9,11,4,12,1] => [11,1] => [1] => 0
[.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [3,2,6,5,8,7,10,9,11,4,12,1] => [11,1] => [1] => 0
[.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]] => [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] => 0
[.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [3,2,5,4,9,8,10,7,11,6,12,1] => [6,4,1,1] => [4,1,1] => 0
[.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [3,2,5,4,8,7,10,9,11,6,12,1] => [7,3,1,1] => [3,1,1] => 0
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]] => [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] => 0
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,10,9,11,8,12,1] => [11,1] => [1] => 0
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]] => [4,3,5,2,7,6,10,9,11,8,12,1] => [11,1] => [1] => 0
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [3,2,5,4,7,6,10,9,11,8,12,1] => [9,1,1,1] => [1,1,1] => 0
[.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]] => [6,5,7,4,8,3,9,2,11,10,12,1] => [7,3,1,1] => [3,1,1] => 0
[.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]] => [5,4,7,6,8,3,9,2,11,10,12,1] => [11,1] => [1] => 0
[.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]] => [4,3,7,6,8,5,9,2,11,10,12,1] => [11,1] => [1] => 0
[.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]] => [5,4,6,3,8,7,9,2,11,10,12,1] => [11,1] => [1] => 0
[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [4,3,6,5,8,7,9,2,11,10,12,1] => [11,1] => [1] => 0
[.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [3,2,7,6,8,5,9,4,11,10,12,1] => [6,4,1,1] => [4,1,1] => 0
[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [3,2,6,5,8,7,9,4,11,10,12,1] => [7,3,1,1] => [3,1,1] => 0
[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,8,7,9,6,11,10,12,1] => [11,1] => [1] => 0
[.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [3,2,5,4,8,7,9,6,11,10,12,1] => [9,1,1,1] => [1,1,1] => 0
[.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]] => [5,4,6,3,7,2,9,8,11,10,12,1] => [6,4,1,1] => [4,1,1] => 0
[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [4,3,6,5,7,2,9,8,11,10,12,1] => [7,3,1,1] => [3,1,1] => 0
[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [3,2,6,5,7,4,9,8,11,10,12,1] => [9,1,1,1] => [1,1,1] => 0
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [4,3,5,2,7,6,9,8,11,10,12,1] => [9,1,1,1] => [1,1,1] => 0
[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,9,8,11,10,12,1] => [7,1,1,1,1,1] => [1,1,1,1,1] => 0
[[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [2,1,8,7,9,6,10,5,11,4,12,3] => [6,3,2,1] => [3,2,1] => 6
[[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [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] => 16
[[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [2,1,5,4,8,7,10,9,11,6,12,3] => [6,3,2,1] => [3,2,1] => 6
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [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] => 0
[[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [2,1,7,6,8,5,9,4,11,10,12,3] => [5,4,2,1] => [4,2,1] => 16
[[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [2,1,6,5,8,7,9,4,11,10,12,3] => [6,3,2,1] => [3,2,1] => 6
[[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [2,1,5,4,8,7,9,6,11,10,12,3] => [8,2,1,1] => [2,1,1] => 0
[[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [2,1,6,5,7,4,9,8,11,10,12,3] => [8,2,1,1] => [2,1,1] => 0
[[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [2,1,5,4,7,6,9,8,11,10,12,3] => [6,2,1,1,1,1] => [2,1,1,1,1] => 0
[[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [3,2,4,1,9,8,10,7,11,6,12,5] => [4,4,3,1] => [4,3,1] => 53
[[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [3,2,4,1,8,7,10,9,11,6,12,5] => [5,3,3,1] => [3,3,1] => 17
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,4,1,7,6,10,9,11,8,12,5] => [7,3,1,1] => [3,1,1] => 0
[[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [3,2,4,1,8,7,9,6,11,10,12,5] => [7,3,1,1] => [3,1,1] => 0
[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,4,1,7,6,9,8,11,10,12,5] => [5,3,1,1,1,1] => [3,1,1,1,1] => 0
[[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [2,1,4,3,9,8,10,7,11,6,12,5] => [4,4,2,2] => [4,2,2] => 28
[[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [2,1,4,3,8,7,10,9,11,6,12,5] => [5,3,2,2] => [3,2,2] => 8
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [2,1,4,3,7,6,10,9,11,8,12,5] => [7,2,2,1] => [2,2,1] => 1
[[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [2,1,4,3,8,7,9,6,11,10,12,5] => [7,2,2,1] => [2,2,1] => 1
[[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [2,1,4,3,7,6,9,8,11,10,12,5] => [5,2,2,1,1,1] => [2,2,1,1,1] => 1
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => [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] => 0
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [3,2,5,4,6,1,10,9,11,8,12,7] => [6,4,1,1] => [4,1,1] => 0
[[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1,9,8,11,10,12,7] => [4,4,1,1,1,1] => [4,1,1,1,1] => 0
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [2,1,5,4,6,3,10,9,11,8,12,7] => [6,3,2,1] => [3,2,1] => 6
[[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,6,3,9,8,11,10,12,7] => [4,3,2,1,1,1] => [3,2,1,1,1] => 11
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [3,2,4,1,6,5,10,9,11,8,12,7] => [6,3,2,1] => [3,2,1] => 6
[[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [3,2,4,1,6,5,9,8,11,10,12,7] => [4,3,2,1,1,1] => [3,2,1,1,1] => 11
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,4,3,6,5,10,9,11,8,12,7] => [6,2,2,2] => [2,2,2] => 1
[[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,4,3,6,5,9,8,11,10,12,7] => [4,2,2,2,1,1] => [2,2,2,1,1] => 8
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]] => [5,4,6,3,7,2,8,1,11,10,12,9] => [4,4,3,1] => [4,3,1] => 53
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]] => [4,3,6,5,7,2,8,1,11,10,12,9] => [5,3,3,1] => [3,3,1] => 17
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [3,2,6,5,7,4,8,1,11,10,12,9] => [7,3,1,1] => [3,1,1] => 0
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [4,3,5,2,7,6,8,1,11,10,12,9] => [7,3,1,1] => [3,1,1] => 0
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [3,2,5,4,7,6,8,1,11,10,12,9] => [5,3,1,1,1,1] => [3,1,1,1,1] => 0
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [2,1,6,5,7,4,8,3,11,10,12,9] => [6,3,2,1] => [3,2,1] => 6
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [2,1,5,4,7,6,8,3,11,10,12,9] => [4,3,2,1,1,1] => [3,2,1,1,1] => 11
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]] => [4,3,5,2,6,1,8,7,11,10,12,9] => [6,3,2,1] => [3,2,1] => 6
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [3,2,5,4,6,1,8,7,11,10,12,9] => [4,3,2,1,1,1] => [3,2,1,1,1] => 11
[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]] => [6,5,7,4,8,3,9,2,10,1,12,11] => [6,3,2,1] => [3,2,1] => 6
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]] => [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] => 16
[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [3,2,6,5,8,7,9,4,10,1,12,11] => [6,3,2,1] => [3,2,1] => 6
[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]] => [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] => 0
[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]] => [5,4,6,3,7,2,9,8,10,1,12,11] => [5,4,2,1] => [4,2,1] => 16
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [4,3,6,5,7,2,9,8,10,1,12,11] => [6,3,2,1] => [3,2,1] => 6
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [3,2,6,5,7,4,9,8,10,1,12,11] => [8,2,1,1] => [2,1,1] => 0
[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => [4,3,5,2,7,6,9,8,10,1,12,11] => [8,2,1,1] => [2,1,1] => 0
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,7,6,9,8,10,1,12,11] => [6,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [2,1,7,6,8,5,9,4,10,3,12,11] => [4,4,2,2] => [4,2,2] => 28
[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [2,1,6,5,8,7,9,4,10,3,12,11] => [5,3,2,2] => [3,2,2] => 8
[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [2,1,5,4,8,7,9,6,10,3,12,11] => [7,2,2,1] => [2,2,1] => 1
[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [2,1,6,5,7,4,9,8,10,3,12,11] => [7,2,2,1] => [2,2,1] => 1
[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [2,1,5,4,7,6,9,8,10,3,12,11] => [5,2,2,1,1,1] => [2,2,1,1,1] => 1
[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [3,2,4,1,8,7,9,6,10,5,12,11] => [6,3,2,1] => [3,2,1] => 6
[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,4,1,7,6,9,8,10,5,12,11] => [4,3,2,1,1,1] => [3,2,1,1,1] => 11
[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [2,1,4,3,8,7,9,6,10,5,12,11] => [6,2,2,2] => [2,2,2] => 1
[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [2,1,4,3,7,6,9,8,10,5,12,11] => [4,2,2,2,1,1] => [2,2,2,1,1] => 8
[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]] => [4,3,5,2,6,1,9,8,10,7,12,11] => [6,3,2,1] => [3,2,1] => 6
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [3,2,5,4,6,1,9,8,10,7,12,11] => [4,3,2,1,1,1] => [3,2,1,1,1] => 11
[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]] => [5,4,6,3,7,2,8,1,10,9,12,11] => [4,4,2,2] => [4,2,2] => 28
[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]] => [4,3,6,5,7,2,8,1,10,9,12,11] => [5,3,2,2] => [3,2,2] => 8
[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [3,2,6,5,7,4,8,1,10,9,12,11] => [7,2,2,1] => [2,2,1] => 1
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [4,3,5,2,7,6,8,1,10,9,12,11] => [7,2,2,1] => [2,2,1] => 1
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]] => [3,2,5,4,7,6,8,1,10,9,12,11] => [5,2,2,1,1,1] => [2,2,1,1,1] => 1
[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [2,1,6,5,7,4,8,3,10,9,12,11] => [6,2,2,2] => [2,2,2] => 1
[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [2,1,5,4,7,6,8,3,10,9,12,11] => [4,2,2,2,1,1] => [2,2,2,1,1] => 8
[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]] => [4,3,5,2,6,1,8,7,10,9,12,11] => [6,2,2,2] => [2,2,2] => 1
[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]] => [3,2,5,4,6,1,8,7,10,9,12,11] => [4,2,2,2,1,1] => [2,2,2,1,1] => 8
[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,10,9,2] => [5,1,1,1,1,1] => [1,1,1,1,1] => 0
[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [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] => 0
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [2,2,2,2,1] => [2,2,2,1] => 7
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [2,2,2,2,1] => [2,2,2,1] => 7
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [2,2,2,2,1] => [2,2,2,1] => 7
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [2,2,2,2,1] => [2,2,2,1] => 7
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [2,2,2,2,1] => [2,2,2,1] => 7
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [2,2,2,2,1] => [2,2,2,1] => 7
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [2,2,2,1,1,1] => [2,2,1,1,1] => 1
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [2,2,2,2,2] => [2,2,2,2] => 8
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [3,2,2,2] => [2,2,2] => 1
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [2,2,2,2,1,1] => [2,2,2,1,1] => 8
[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [3,4,2,1,9,8,7,6,5] => [4,2,2,1] => [2,2,1] => 1
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [2,2,2,2,2] => [2,2,2,2] => 8
[[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]] => [4,5,3,2,1,9,8,7,6] => [4,2,2,1] => [2,2,1] => 1
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [2,2,2,2,1,1] => [2,2,2,1,1] => 8
[[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]] => [5,6,4,3,2,1,9,8,7] => [4,2,2,1] => [2,2,1] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [2,2,2,2,2] => [2,2,2,2] => 8
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [6,7,5,4,3,2,1,9,8] => [4,2,2,1] => [2,2,1] => 1
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [2,2,2,2,1,1] => [2,2,2,1,1] => 8
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [2,2,2,2,2] => [2,2,2,2] => 8
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [2,2,2,1,1,1] => [2,2,1,1,1] => 1
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [2,2,2,1,1,1] => [2,2,1,1,1] => 1
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 0
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 0
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [2,2,2,2,1,1] => [2,2,2,1,1] => 8
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [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] => 0
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [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] => 0
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 0
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [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] => 0
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 0
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [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] => 0
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [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] => 0
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [3,2,2,2] => [2,2,2] => 1
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,8,7,5,10,9] => [3,3,2,1,1] => [3,2,1,1] => 8
[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [2,4,3,1,6,5,8,10,9,7] => [3,3,2,1,1] => [3,2,1,1] => 8
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7,10,9] => [3,2,2,2,1] => [2,2,2,1] => 7
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,3,6,8,7,5,10,9] => [3,2,2,2,1] => [2,2,2,1] => 7
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,10,9,7] => [3,2,2,2,1] => [2,2,2,1] => 7
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [8,1] => [1] => 0
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [2,1,3,4,5,6,8,7,9] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [2,1,3,4,5,6,8,9,7] => [3,2,1,1,1,1] => [2,1,1,1,1] => 0
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [9,1] => [1] => 0
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [3,2,1,5,4,6,7,8,9] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [6,5,4,3,2,1,8,7,9] => [2,2,2,2,1] => [2,2,2,1] => 7
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [8,1] => [1] => 0
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,1,1] => [1,1] => 0
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [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] => 0
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [9,1] => [1] => 0
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 0
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [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] => 0
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [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] => 0
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [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] => 0
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [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] => 0
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [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] => 0
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [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] => 0
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [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] => 0
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [7,1,1] => [1,1] => 0
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [7,6,5,4,3,2,9,8,1] => [3,2,2,1,1] => [2,2,1,1] => 1
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]] => [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] => 0
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [6,5,4,3,2,7,8,9,1] => [5,2,2] => [2,2] => 0
[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => [7,6,5,4,3,2,8,9,1] => [4,2,2,1] => [2,2,1] => 1
[.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]] => [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] => 0
[.,[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]] => [6,5,4,3,2,7,8,9,10,1] => [6,2,2] => [2,2] => 0
[.,[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]] => [7,6,5,4,3,2,8,9,10,1] => [5,2,2,1] => [2,2,1] => 1
[.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]] => [8,7,6,5,4,3,2,9,10,1] => [4,2,2,2] => [2,2,2] => 1
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [2,2,2,2,1] => [2,2,2,1] => 7
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [3,2,2,2] => [2,2,2] => 1
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [2,2,2,2,1,1] => [2,2,2,1,1] => 8
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9] => [2,2,2,2,1] => [2,2,2,1] => 7
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [2,2,2,2,1,1] => [2,2,2,1,1] => 8
[.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]] => [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] => 0
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [1,2,4,5,3,6,7,8,9] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [2,1,4,5,3,6,7,8,9] => [3,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [1,3,2,5,4,6,7,8,9] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [8,7,6,5,4,3,2,10,9,1] => [3,2,2,2,1] => [2,2,2,1] => 7
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [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] => 0
[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] => [2,1,8,9,7,6,5,4,3] => [4,2,2,1] => [2,2,1] => 1
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [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] => 0
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [6,7,8,5,4,3,2,1,9] => [4,2,2,1] => [2,2,1] => 1
[[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]],.] => [6,5,7,8,4,3,2,1,9] => [8,1] => [1] => 0
[[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]],.] => [6,5,4,7,8,3,2,1,9] => [8,1] => [1] => 0
[[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]],.] => [6,5,4,3,7,8,2,1,9] => [3,3,2,1] => [3,2,1] => 6
[[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.] => [6,5,4,3,2,7,8,1,9] => [4,2,2,1] => [2,2,1] => 1
[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [7,8,9,6,5,4,3,2,1,10] => [4,2,2,1,1] => [2,2,1,1] => 1
[[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]],.] => [7,6,8,9,5,4,3,2,1,10] => [8,1,1] => [1,1] => 0
[[.,[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]],.] => [7,6,5,8,9,4,3,2,1,10] => [5,4,1] => [4,1] => 0
[[.,[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]],.] => [7,6,5,4,8,9,3,2,1,10] => [8,1,1] => [1,1] => 0
[[.,[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]],.] => [7,6,5,4,3,8,9,2,1,10] => [3,3,2,1,1] => [3,2,1,1] => 8
[[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]],.] => [7,6,5,4,3,2,8,9,1,10] => [4,2,2,1,1] => [2,2,1,1] => 1
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [2,2,2,1,1,1] => [2,2,1,1,1] => 1
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [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] => 0
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [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] => 0
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] => [10,9,11,8,7,6,5,4,3,2,1] => [6,2,2,1] => [2,2,1] => 1
[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [1,9,8,10,7,6,5,4,3,2] => [6,2,1,1] => [2,1,1] => 0
[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] => [2,8,9,7,6,5,4,3,1] => [5,2,2] => [2,2] => 0
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [4,2,2,2,1] => [2,2,2,1] => 7
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [5,2,2] => [2,2] => 0
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [4,1,1,1,1,1] => [1,1,1,1,1] => 0
[[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.],.] => [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] => 0
[[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9,10] => [4,1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.] => [3,4,2,5,1,6,7,8,9] => [5,1,1,1,1] => [1,1,1,1] => 0
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [3,2,2,1,1] => [2,2,1,1] => 1
[[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]],.] => [6,5,8,7,4,3,2,1,9] => [4,4,1] => [4,1] => 0
[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.] => [7,6,5,8,4,3,2,1,9] => [8,1] => [1] => 0
[[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]],.] => [6,7,5,8,4,3,2,1,9] => [6,2,1] => [2,1] => 0
[[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]] => [4,3,2,1,8,9,7,6,5] => [4,2,2,1] => [2,2,1] => 1
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [2,3,1,5,4,6,7,8,9] => [3,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [4,5,3,2,1,6,7,8,9] => [4,1,1,1,1,1] => [1,1,1,1,1] => 0
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [7,1,1] => [1,1] => 0
[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.] => [5,4,3,2,1,8,7,6,9] => [2,2,2,1,1,1] => [2,2,1,1,1] => 1
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [7,6,5,4,3,2,1,9,8,10] => [2,2,2,2,1,1] => [2,2,2,1,1] => 8
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [4,2,2,1] => [2,2,1] => 1
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [2,8,7,6,5,4,3,1,9] => [3,2,2,1,1] => [2,2,1,1] => 1
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [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] => 0
[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.] => [8,7,6,5,4,3,2,9,1,10] => [3,2,2,2,1] => [2,2,2,1] => 7
[[.,.],[[.,[[[[[.,.],.],.],.],.]],.]] => [1,4,5,6,7,8,3,9,2] => [5,3,1] => [3,1] => 0
[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]] => [2,1,3,5,6,7,8,9,4] => [6,2,1] => [2,1] => 0
[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.] => [5,6,4,3,2,1,7,8,9] => [4,2,1,1,1] => [2,1,1,1] => 0
[[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.],.] => [5,6,4,3,2,1,7,8,9,10] => [4,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.],.] => [6,7,5,4,3,2,1,8,9,10,11] => [4,2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.] => [6,7,5,4,3,2,1,8,9,10] => [4,2,1,1,1,1] => [2,1,1,1,1] => 0
[[[.,[[.,[.,[.,[[.,.],.]]]],.]],.],.] => [5,6,4,3,2,7,1,8,9] => [5,2,1,1] => [2,1,1] => 0
[[[.,.],.],[[[.,[[[.,.],.],.]],.],.]] => [1,2,5,6,7,4,8,9,3] => [5,2,1,1] => [2,1,1] => 0
[[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]] => [5,4,3,2,1,8,9,7,6] => [4,2,2,1] => [2,2,1] => 1
search for individual values
searching the database for the individual values of this statistic
Description
Number of non-integral Gelfand-Tsetlin polytopes with prescribed top row and integer composition weight.
Given $\lambda$ count how many integer compositions $w$ (weight) there are, such that
$P_{\lambda,w}$ is non-integral, i.e., $w$ such that the Gelfand-Tsetlin polytope $P_{\lambda,w}$ has at least one non-integral vertex.
See also St000205Number of non-integral Gelfand-Tsetlin polytopes with prescribed top row and partition weight..
Each value in this statistic is greater than or equal to corresponding value in St000205Number of non-integral Gelfand-Tsetlin polytopes with prescribed top row and partition weight..
Given $\lambda$ count how many integer compositions $w$ (weight) there are, such that
$P_{\lambda,w}$ is non-integral, i.e., $w$ such that the Gelfand-Tsetlin polytope $P_{\lambda,w}$ has at least one non-integral vertex.
See also St000205Number of non-integral Gelfand-Tsetlin polytopes with prescribed top row and partition weight..
Each value in this statistic is greater than or equal to corresponding value in St000205Number of non-integral Gelfand-Tsetlin polytopes with prescribed top row and partition weight..
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.
Map
first row removal
Description
Removes the first entry of an integer partition
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