Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00108: Permutations —cycle type⟶ Integer partitions
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00108: Permutations —cycle type⟶ Integer partitions
Images
[.,.] => [1] => [1] => [1]
[.,[.,.]] => [2,1] => [2,1] => [2]
[[.,.],.] => [1,2] => [1,2] => [1,1]
[.,[.,[.,.]]] => [3,2,1] => [2,3,1] => [3]
[.,[[.,.],.]] => [2,3,1] => [3,2,1] => [2,1]
[[.,.],[.,.]] => [3,1,2] => [3,1,2] => [3]
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => [2,1]
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [1,1,1]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [2,3,4,1] => [4]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [2,4,3,1] => [3,1]
[.,[[.,.],[.,.]]] => [4,2,3,1] => [3,4,2,1] => [4]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,3,2,1] => [2,2]
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,2,3,1] => [2,1,1]
[[.,.],[.,[.,.]]] => [4,3,1,2] => [3,1,4,2] => [4]
[[.,.],[[.,.],.]] => [3,4,1,2] => [4,1,3,2] => [3,1]
[[.,[.,.]],[.,.]] => [4,2,1,3] => [2,4,1,3] => [4]
[[[.,.],.],[.,.]] => [4,1,2,3] => [4,1,2,3] => [4]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [2,3,1,4] => [3,1]
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,2,1,4] => [2,1,1]
[[[.,.],[.,.]],.] => [3,1,2,4] => [3,1,2,4] => [3,1]
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => [2,1,1]
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [2,3,4,5,1] => [5]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [2,3,5,4,1] => [4,1]
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [2,4,5,3,1] => [5]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [2,5,4,3,1] => [3,2]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [2,5,3,4,1] => [3,1,1]
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [3,4,2,5,1] => [5]
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [3,5,2,4,1] => [4,1]
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [4,3,5,2,1] => [5]
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [4,5,2,3,1] => [5]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [5,3,4,2,1] => [3,2]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [5,4,3,2,1] => [2,2,1]
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [5,4,2,3,1] => [3,2]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [5,3,2,4,1] => [2,2,1]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [5,2,3,4,1] => [2,1,1,1]
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [3,1,4,5,2] => [5]
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [3,1,5,4,2] => [4,1]
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [4,1,5,3,2] => [5]
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [5,1,4,3,2] => [3,2]
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [5,1,3,4,2] => [3,1,1]
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [2,4,1,5,3] => [5]
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [2,5,1,4,3] => [4,1]
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [4,1,2,5,3] => [5]
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [5,1,2,4,3] => [4,1]
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [2,3,5,1,4] => [5]
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [3,5,2,1,4] => [5]
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [3,1,5,2,4] => [5]
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [2,5,1,3,4] => [5]
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [5,1,2,3,4] => [5]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [2,3,4,1,5] => [4,1]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [2,4,3,1,5] => [3,1,1]
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [3,4,2,1,5] => [4,1]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [4,3,2,1,5] => [2,2,1]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,2,3,1,5] => [2,1,1,1]
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [3,1,4,2,5] => [4,1]
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [4,1,3,2,5] => [3,1,1]
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [2,4,1,3,5] => [4,1]
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [4,1,2,3,5] => [4,1]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [2,3,1,4,5] => [3,1,1]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,2,1,4,5] => [2,1,1,1]
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [3,1,2,4,5] => [3,1,1]
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,1,1]
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [1,1,1,1,1]
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [2,3,4,5,6,1] => [6]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [2,3,4,6,5,1] => [5,1]
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [2,3,5,6,4,1] => [6]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [2,3,6,5,4,1] => [4,2]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [2,3,6,4,5,1] => [4,1,1]
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [2,4,5,3,6,1] => [6]
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [2,4,6,3,5,1] => [5,1]
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [2,5,4,6,3,1] => [6]
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [2,5,6,3,4,1] => [6]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [2,6,4,5,3,1] => [3,3]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [2,6,5,4,3,1] => [3,2,1]
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [2,6,5,3,4,1] => [3,3]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [2,6,4,3,5,1] => [3,2,1]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [2,6,3,4,5,1] => [3,1,1,1]
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [3,4,2,5,6,1] => [6]
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [3,4,2,6,5,1] => [5,1]
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [3,5,2,6,4,1] => [6]
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [3,6,2,5,4,1] => [4,2]
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [3,6,2,4,5,1] => [4,1,1]
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [4,3,5,2,6,1] => [6]
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [4,3,6,2,5,1] => [5,1]
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [4,5,2,3,6,1] => [6]
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [4,6,2,3,5,1] => [5,1]
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [5,3,4,6,2,1] => [6]
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [5,4,6,3,2,1] => [6]
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [5,4,2,6,3,1] => [6]
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [5,3,6,2,4,1] => [6]
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [5,6,2,3,4,1] => [6]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [6,3,4,5,2,1] => [4,2]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [6,3,5,4,2,1] => [3,2,1]
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [6,4,5,3,2,1] => [4,2]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [6,5,4,3,2,1] => [2,2,2]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [6,5,3,4,2,1] => [2,2,1,1]
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [6,4,2,5,3,1] => [4,2]
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [6,5,2,4,3,1] => [3,2,1]
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [6,3,5,2,4,1] => [4,2]
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [6,5,2,3,4,1] => [4,2]
>>> Load all 1562 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [6,3,4,2,5,1] => [3,2,1]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [6,4,3,2,5,1] => [2,2,1,1]
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [6,4,2,3,5,1] => [3,2,1]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [6,3,2,4,5,1] => [2,2,1,1]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [6,2,3,4,5,1] => [2,1,1,1,1]
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [3,1,4,5,6,2] => [6]
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [3,1,4,6,5,2] => [5,1]
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [3,1,5,6,4,2] => [6]
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [3,1,6,5,4,2] => [4,2]
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [3,1,6,4,5,2] => [4,1,1]
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [4,1,5,3,6,2] => [6]
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [4,1,6,3,5,2] => [5,1]
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,1,4,6,3,2] => [6]
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [5,1,6,3,4,2] => [6]
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [6,1,4,5,3,2] => [3,3]
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [6,1,5,4,3,2] => [3,2,1]
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [6,1,5,3,4,2] => [3,3]
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [6,1,4,3,5,2] => [3,2,1]
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [6,1,3,4,5,2] => [3,1,1,1]
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [2,4,1,5,6,3] => [6]
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [2,4,1,6,5,3] => [5,1]
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [2,5,1,6,4,3] => [6]
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [2,6,1,5,4,3] => [4,2]
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [2,6,1,4,5,3] => [4,1,1]
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [4,1,2,5,6,3] => [6]
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [4,1,2,6,5,3] => [5,1]
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [5,1,2,6,4,3] => [6]
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [6,1,2,5,4,3] => [4,2]
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => [4,1,1]
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [2,3,5,1,6,4] => [6]
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [2,3,6,1,5,4] => [5,1]
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [3,5,2,1,6,4] => [6]
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [3,6,2,1,5,4] => [5,1]
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [3,1,5,2,6,4] => [6]
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [3,1,6,2,5,4] => [5,1]
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [2,5,1,3,6,4] => [6]
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [2,6,1,3,5,4] => [5,1]
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [5,1,2,3,6,4] => [6]
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => [5,1]
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [2,3,4,6,1,5] => [6]
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [2,4,6,3,1,5] => [6]
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [3,4,2,6,1,5] => [6]
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [4,3,6,2,1,5] => [6]
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [4,6,2,3,1,5] => [6]
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [3,1,4,6,2,5] => [6]
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,1,6,3,2,5] => [6]
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [2,4,1,6,3,5] => [6]
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [4,1,2,6,3,5] => [6]
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [2,3,6,1,4,5] => [6]
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [3,6,2,1,4,5] => [6]
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,1,6,2,4,5] => [6]
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => [6]
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => [6]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [2,3,4,5,1,6] => [5,1]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [2,3,5,4,1,6] => [4,1,1]
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [2,4,5,3,1,6] => [5,1]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [2,5,4,3,1,6] => [3,2,1]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [2,5,3,4,1,6] => [3,1,1,1]
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [3,4,2,5,1,6] => [5,1]
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [3,5,2,4,1,6] => [4,1,1]
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [4,3,5,2,1,6] => [5,1]
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [4,5,2,3,1,6] => [5,1]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [5,3,4,2,1,6] => [3,2,1]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [5,4,3,2,1,6] => [2,2,1,1]
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [5,4,2,3,1,6] => [3,2,1]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [5,3,2,4,1,6] => [2,2,1,1]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,2,3,4,1,6] => [2,1,1,1,1]
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [3,1,4,5,2,6] => [5,1]
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [3,1,5,4,2,6] => [4,1,1]
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [4,1,5,3,2,6] => [5,1]
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [5,1,4,3,2,6] => [3,2,1]
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [5,1,3,4,2,6] => [3,1,1,1]
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [2,4,1,5,3,6] => [5,1]
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [2,5,1,4,3,6] => [4,1,1]
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [4,1,2,5,3,6] => [5,1]
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => [4,1,1]
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [2,3,5,1,4,6] => [5,1]
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [3,5,2,1,4,6] => [5,1]
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [3,1,5,2,4,6] => [5,1]
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => [5,1]
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => [5,1]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [2,3,4,1,5,6] => [4,1,1]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [2,4,3,1,5,6] => [3,1,1,1]
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [3,4,2,1,5,6] => [4,1,1]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,3,2,1,5,6] => [2,2,1,1]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [4,2,3,1,5,6] => [2,1,1,1,1]
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [3,1,4,2,5,6] => [4,1,1]
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => [3,1,1,1]
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => [4,1,1]
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => [4,1,1]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => [3,1,1,1]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,2,1,4,5,6] => [2,1,1,1,1]
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => [3,1,1,1]
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,1,1,1]
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,1,1,1,1,1]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [2,3,4,5,6,7,1] => [7]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [2,3,4,5,7,6,1] => [6,1]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [2,3,4,6,7,5,1] => [7]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [2,3,4,7,6,5,1] => [5,2]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [2,3,4,7,5,6,1] => [5,1,1]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [2,3,5,6,4,7,1] => [7]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [2,3,5,7,4,6,1] => [6,1]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [2,3,6,5,7,4,1] => [7]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [2,3,6,7,4,5,1] => [7]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [2,3,7,5,6,4,1] => [4,3]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [2,3,7,6,5,4,1] => [4,2,1]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [2,3,7,6,4,5,1] => [4,3]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [2,3,7,5,4,6,1] => [4,2,1]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [2,3,7,4,5,6,1] => [4,1,1,1]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [2,4,5,3,6,7,1] => [7]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [2,4,5,3,7,6,1] => [6,1]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [2,4,6,3,7,5,1] => [7]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [2,4,7,3,6,5,1] => [5,2]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [2,4,7,3,5,6,1] => [5,1,1]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [2,5,4,6,3,7,1] => [7]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [2,5,4,7,3,6,1] => [6,1]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [2,5,6,3,4,7,1] => [7]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [2,5,7,3,4,6,1] => [6,1]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [2,6,4,5,7,3,1] => [7]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [2,6,5,7,4,3,1] => [7]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [2,6,5,3,7,4,1] => [7]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [2,6,4,7,3,5,1] => [7]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [2,6,7,3,4,5,1] => [7]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [2,7,4,5,6,3,1] => [4,3]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [2,7,4,6,5,3,1] => [3,3,1]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [2,7,5,6,4,3,1] => [4,3]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [2,7,6,5,4,3,1] => [3,2,2]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [2,7,6,4,5,3,1] => [3,2,1,1]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [2,7,5,3,6,4,1] => [4,3]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [2,7,6,3,5,4,1] => [3,3,1]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [2,7,4,6,3,5,1] => [4,3]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [2,7,6,3,4,5,1] => [4,3]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [2,7,4,5,3,6,1] => [3,3,1]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [2,7,5,4,3,6,1] => [3,2,1,1]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [2,7,5,3,4,6,1] => [3,3,1]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [2,7,4,3,5,6,1] => [3,2,1,1]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [2,7,3,4,5,6,1] => [3,1,1,1,1]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [3,4,2,5,6,7,1] => [7]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [3,4,2,5,7,6,1] => [6,1]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [3,4,2,6,7,5,1] => [7]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [3,4,2,7,6,5,1] => [5,2]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [3,4,2,7,5,6,1] => [5,1,1]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [3,5,2,6,4,7,1] => [7]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [3,5,2,7,4,6,1] => [6,1]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [3,6,2,5,7,4,1] => [7]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [3,6,2,7,4,5,1] => [7]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [3,7,2,5,6,4,1] => [4,3]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [3,7,2,6,5,4,1] => [4,2,1]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [3,7,2,6,4,5,1] => [4,3]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [3,7,2,5,4,6,1] => [4,2,1]
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [3,7,2,4,5,6,1] => [4,1,1,1]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [4,3,5,2,6,7,1] => [7]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [4,3,5,2,7,6,1] => [6,1]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [4,3,6,2,7,5,1] => [7]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [4,3,7,2,6,5,1] => [5,2]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [4,3,7,2,5,6,1] => [5,1,1]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [4,5,2,3,6,7,1] => [7]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [4,5,2,3,7,6,1] => [6,1]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [4,6,2,3,7,5,1] => [7]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [4,7,2,3,6,5,1] => [5,2]
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [4,7,2,3,5,6,1] => [5,1,1]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [5,3,4,6,2,7,1] => [7]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [5,3,4,7,2,6,1] => [6,1]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [5,4,6,3,2,7,1] => [7]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [5,4,7,3,2,6,1] => [6,1]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [5,4,2,6,3,7,1] => [7]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [5,4,2,7,3,6,1] => [6,1]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [5,3,6,2,4,7,1] => [7]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [5,3,7,2,4,6,1] => [6,1]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [5,6,2,3,4,7,1] => [7]
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [5,7,2,3,4,6,1] => [6,1]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [6,3,4,5,7,2,1] => [7]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [6,3,5,7,4,2,1] => [7]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [6,4,5,3,7,2,1] => [7]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [6,5,4,7,3,2,1] => [7]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [6,5,7,3,4,2,1] => [7]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [6,4,2,5,7,3,1] => [7]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [6,5,2,7,4,3,1] => [7]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [6,3,5,2,7,4,1] => [7]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [6,5,2,3,7,4,1] => [7]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [6,3,4,7,2,5,1] => [7]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [6,4,7,3,2,5,1] => [7]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [6,4,2,7,3,5,1] => [7]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [6,3,7,2,4,5,1] => [7]
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [6,7,2,3,4,5,1] => [7]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [7,3,4,5,6,2,1] => [5,2]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [7,3,4,6,5,2,1] => [4,2,1]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [7,3,5,6,4,2,1] => [5,2]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [7,3,6,5,4,2,1] => [3,2,2]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [7,3,6,4,5,2,1] => [3,2,1,1]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [7,4,5,3,6,2,1] => [5,2]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [7,4,6,3,5,2,1] => [4,2,1]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [7,5,4,6,3,2,1] => [5,2]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [7,5,6,3,4,2,1] => [5,2]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [7,6,4,5,3,2,1] => [3,2,2]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [7,6,5,4,3,2,1] => [2,2,2,1]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [7,6,5,3,4,2,1] => [3,2,2]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [7,6,4,3,5,2,1] => [2,2,2,1]
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [7,6,3,4,5,2,1] => [2,2,1,1,1]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [7,4,2,5,6,3,1] => [5,2]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [7,4,2,6,5,3,1] => [4,2,1]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [7,5,2,6,4,3,1] => [5,2]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [7,6,2,5,4,3,1] => [3,2,2]
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [7,6,2,4,5,3,1] => [3,2,1,1]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [7,3,5,2,6,4,1] => [5,2]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [7,3,6,2,5,4,1] => [4,2,1]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [7,5,2,3,6,4,1] => [5,2]
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [7,6,2,3,5,4,1] => [4,2,1]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [7,3,4,6,2,5,1] => [5,2]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [7,4,6,3,2,5,1] => [5,2]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [7,4,2,6,3,5,1] => [5,2]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [7,3,6,2,4,5,1] => [5,2]
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [7,6,2,3,4,5,1] => [5,2]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [7,3,4,5,2,6,1] => [4,2,1]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [7,3,5,4,2,6,1] => [3,2,1,1]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [7,4,5,3,2,6,1] => [4,2,1]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [7,5,4,3,2,6,1] => [2,2,2,1]
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [7,5,3,4,2,6,1] => [2,2,1,1,1]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [7,4,2,5,3,6,1] => [4,2,1]
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [7,5,2,4,3,6,1] => [3,2,1,1]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [7,3,5,2,4,6,1] => [4,2,1]
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [7,5,2,3,4,6,1] => [4,2,1]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [7,3,4,2,5,6,1] => [3,2,1,1]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [7,4,3,2,5,6,1] => [2,2,1,1,1]
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [7,4,2,3,5,6,1] => [3,2,1,1]
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [7,3,2,4,5,6,1] => [2,2,1,1,1]
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [7,2,3,4,5,6,1] => [2,1,1,1,1,1]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [3,1,4,5,6,7,2] => [7]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [3,1,4,5,7,6,2] => [6,1]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [3,1,4,6,7,5,2] => [7]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [3,1,4,7,6,5,2] => [5,2]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [3,1,4,7,5,6,2] => [5,1,1]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [3,1,5,6,4,7,2] => [7]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [3,1,5,7,4,6,2] => [6,1]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [3,1,6,5,7,4,2] => [7]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [3,1,6,7,4,5,2] => [7]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [3,1,7,5,6,4,2] => [4,3]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [3,1,7,6,5,4,2] => [4,2,1]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [3,1,7,6,4,5,2] => [4,3]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [3,1,7,5,4,6,2] => [4,2,1]
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [3,1,7,4,5,6,2] => [4,1,1,1]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [4,1,5,3,6,7,2] => [7]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [4,1,5,3,7,6,2] => [6,1]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [4,1,6,3,7,5,2] => [7]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [4,1,7,3,6,5,2] => [5,2]
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [4,1,7,3,5,6,2] => [5,1,1]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [5,1,4,6,3,7,2] => [7]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [5,1,4,7,3,6,2] => [6,1]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [5,1,6,3,4,7,2] => [7]
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [5,1,7,3,4,6,2] => [6,1]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [6,1,4,5,7,3,2] => [7]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [6,1,5,7,4,3,2] => [7]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [6,1,5,3,7,4,2] => [7]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [6,1,4,7,3,5,2] => [7]
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [6,1,7,3,4,5,2] => [7]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [7,1,4,5,6,3,2] => [4,3]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [7,1,4,6,5,3,2] => [3,3,1]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [7,1,5,6,4,3,2] => [4,3]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [7,1,6,5,4,3,2] => [3,2,2]
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [7,1,6,4,5,3,2] => [3,2,1,1]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [7,1,5,3,6,4,2] => [4,3]
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [7,1,6,3,5,4,2] => [3,3,1]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [7,1,4,6,3,5,2] => [4,3]
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [7,1,6,3,4,5,2] => [4,3]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [7,1,4,5,3,6,2] => [3,3,1]
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [7,1,5,4,3,6,2] => [3,2,1,1]
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [7,1,5,3,4,6,2] => [3,3,1]
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [7,1,4,3,5,6,2] => [3,2,1,1]
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [7,1,3,4,5,6,2] => [3,1,1,1,1]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [2,4,1,5,6,7,3] => [7]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [2,4,1,5,7,6,3] => [6,1]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [2,4,1,6,7,5,3] => [7]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [2,4,1,7,6,5,3] => [5,2]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [2,4,1,7,5,6,3] => [5,1,1]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [2,5,1,6,4,7,3] => [7]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [2,5,1,7,4,6,3] => [6,1]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [2,6,1,5,7,4,3] => [7]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [2,6,1,7,4,5,3] => [7]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [2,7,1,5,6,4,3] => [4,3]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [2,7,1,6,5,4,3] => [4,2,1]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [2,7,1,6,4,5,3] => [4,3]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [2,7,1,5,4,6,3] => [4,2,1]
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [2,7,1,4,5,6,3] => [4,1,1,1]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [4,1,2,5,6,7,3] => [7]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [4,1,2,5,7,6,3] => [6,1]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [4,1,2,6,7,5,3] => [7]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [4,1,2,7,6,5,3] => [5,2]
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [4,1,2,7,5,6,3] => [5,1,1]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [5,1,2,6,4,7,3] => [7]
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [5,1,2,7,4,6,3] => [6,1]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [6,1,2,5,7,4,3] => [7]
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [6,1,2,7,4,5,3] => [7]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [7,1,2,5,6,4,3] => [4,3]
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [7,1,2,6,5,4,3] => [4,2,1]
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [7,1,2,6,4,5,3] => [4,3]
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [7,1,2,5,4,6,3] => [4,2,1]
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [7,1,2,4,5,6,3] => [4,1,1,1]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [2,3,5,1,6,7,4] => [7]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [2,3,5,1,7,6,4] => [6,1]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [2,3,6,1,7,5,4] => [7]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [2,3,7,1,6,5,4] => [5,2]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [2,3,7,1,5,6,4] => [5,1,1]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [3,5,2,1,6,7,4] => [7]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [3,5,2,1,7,6,4] => [6,1]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [3,6,2,1,7,5,4] => [7]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [3,7,2,1,6,5,4] => [5,2]
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [3,7,2,1,5,6,4] => [5,1,1]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [3,1,5,2,6,7,4] => [7]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [3,1,5,2,7,6,4] => [6,1]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [3,1,6,2,7,5,4] => [7]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [3,1,7,2,6,5,4] => [5,2]
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [3,1,7,2,5,6,4] => [5,1,1]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [2,5,1,3,6,7,4] => [7]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [2,5,1,3,7,6,4] => [6,1]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [2,6,1,3,7,5,4] => [7]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [2,7,1,3,6,5,4] => [5,2]
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [2,7,1,3,5,6,4] => [5,1,1]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [5,1,2,3,6,7,4] => [7]
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [5,1,2,3,7,6,4] => [6,1]
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [6,1,2,3,7,5,4] => [7]
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [7,1,2,3,6,5,4] => [5,2]
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [7,1,2,3,5,6,4] => [5,1,1]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [2,3,4,6,1,7,5] => [7]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [2,3,4,7,1,6,5] => [6,1]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [2,4,6,3,1,7,5] => [7]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [2,4,7,3,1,6,5] => [6,1]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [3,4,2,6,1,7,5] => [7]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [3,4,2,7,1,6,5] => [6,1]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [4,3,6,2,1,7,5] => [7]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [4,3,7,2,1,6,5] => [6,1]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [4,6,2,3,1,7,5] => [7]
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [4,7,2,3,1,6,5] => [6,1]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [3,1,4,6,2,7,5] => [7]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [3,1,4,7,2,6,5] => [6,1]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [4,1,6,3,2,7,5] => [7]
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [4,1,7,3,2,6,5] => [6,1]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [2,4,1,6,3,7,5] => [7]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [2,4,1,7,3,6,5] => [6,1]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [4,1,2,6,3,7,5] => [7]
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [4,1,2,7,3,6,5] => [6,1]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [2,3,6,1,4,7,5] => [7]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [2,3,7,1,4,6,5] => [6,1]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [3,6,2,1,4,7,5] => [7]
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [3,7,2,1,4,6,5] => [6,1]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [3,1,6,2,4,7,5] => [7]
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [3,1,7,2,4,6,5] => [6,1]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [2,6,1,3,4,7,5] => [7]
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [2,7,1,3,4,6,5] => [6,1]
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [6,1,2,3,4,7,5] => [7]
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [7,1,2,3,4,6,5] => [6,1]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [2,3,4,5,7,1,6] => [7]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [2,3,5,7,4,1,6] => [7]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [2,4,5,3,7,1,6] => [7]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [2,5,4,7,3,1,6] => [7]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [2,5,7,3,4,1,6] => [7]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [3,4,2,5,7,1,6] => [7]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [3,5,2,7,4,1,6] => [7]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [4,3,5,2,7,1,6] => [7]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [4,5,2,3,7,1,6] => [7]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [5,3,4,7,2,1,6] => [7]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [5,4,7,3,2,1,6] => [7]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [5,4,2,7,3,1,6] => [7]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [5,3,7,2,4,1,6] => [7]
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [5,7,2,3,4,1,6] => [7]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [3,1,4,5,7,2,6] => [7]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [3,1,5,7,4,2,6] => [7]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [4,1,5,3,7,2,6] => [7]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [5,1,4,7,3,2,6] => [7]
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [5,1,7,3,4,2,6] => [7]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [2,4,1,5,7,3,6] => [7]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [2,5,1,7,4,3,6] => [7]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [4,1,2,5,7,3,6] => [7]
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [5,1,2,7,4,3,6] => [7]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [2,3,5,1,7,4,6] => [7]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [3,5,2,1,7,4,6] => [7]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [3,1,5,2,7,4,6] => [7]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [2,5,1,3,7,4,6] => [7]
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [5,1,2,3,7,4,6] => [7]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [2,3,4,7,1,5,6] => [7]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [2,4,7,3,1,5,6] => [7]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [3,4,2,7,1,5,6] => [7]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [4,3,7,2,1,5,6] => [7]
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [4,7,2,3,1,5,6] => [7]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [3,1,4,7,2,5,6] => [7]
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [4,1,7,3,2,5,6] => [7]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [2,4,1,7,3,5,6] => [7]
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [4,1,2,7,3,5,6] => [7]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [2,3,7,1,4,5,6] => [7]
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [3,7,2,1,4,5,6] => [7]
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,1,7,2,4,5,6] => [7]
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [2,7,1,3,4,5,6] => [7]
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => [7]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [2,3,4,5,6,1,7] => [6,1]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [2,3,4,6,5,1,7] => [5,1,1]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [2,3,5,6,4,1,7] => [6,1]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [2,3,6,5,4,1,7] => [4,2,1]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [2,3,6,4,5,1,7] => [4,1,1,1]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [2,4,5,3,6,1,7] => [6,1]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [2,4,6,3,5,1,7] => [5,1,1]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [2,5,4,6,3,1,7] => [6,1]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [2,5,6,3,4,1,7] => [6,1]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [2,6,4,5,3,1,7] => [3,3,1]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [2,6,5,4,3,1,7] => [3,2,1,1]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [2,6,5,3,4,1,7] => [3,3,1]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [2,6,4,3,5,1,7] => [3,2,1,1]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [2,6,3,4,5,1,7] => [3,1,1,1,1]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [3,4,2,5,6,1,7] => [6,1]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [3,4,2,6,5,1,7] => [5,1,1]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [3,5,2,6,4,1,7] => [6,1]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [3,6,2,5,4,1,7] => [4,2,1]
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [3,6,2,4,5,1,7] => [4,1,1,1]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [4,3,5,2,6,1,7] => [6,1]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [4,3,6,2,5,1,7] => [5,1,1]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [4,5,2,3,6,1,7] => [6,1]
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [4,6,2,3,5,1,7] => [5,1,1]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [5,3,4,6,2,1,7] => [6,1]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [5,4,6,3,2,1,7] => [6,1]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [5,4,2,6,3,1,7] => [6,1]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [5,3,6,2,4,1,7] => [6,1]
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [5,6,2,3,4,1,7] => [6,1]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [6,3,4,5,2,1,7] => [4,2,1]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [6,3,5,4,2,1,7] => [3,2,1,1]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [6,4,5,3,2,1,7] => [4,2,1]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [6,5,4,3,2,1,7] => [2,2,2,1]
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [6,5,3,4,2,1,7] => [2,2,1,1,1]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [6,4,2,5,3,1,7] => [4,2,1]
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [6,5,2,4,3,1,7] => [3,2,1,1]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [6,3,5,2,4,1,7] => [4,2,1]
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [6,5,2,3,4,1,7] => [4,2,1]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [6,3,4,2,5,1,7] => [3,2,1,1]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [6,4,3,2,5,1,7] => [2,2,1,1,1]
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [6,4,2,3,5,1,7] => [3,2,1,1]
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [6,3,2,4,5,1,7] => [2,2,1,1,1]
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [6,2,3,4,5,1,7] => [2,1,1,1,1,1]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [3,1,4,5,6,2,7] => [6,1]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [3,1,4,6,5,2,7] => [5,1,1]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [3,1,5,6,4,2,7] => [6,1]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [3,1,6,5,4,2,7] => [4,2,1]
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [3,1,6,4,5,2,7] => [4,1,1,1]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [4,1,5,3,6,2,7] => [6,1]
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [4,1,6,3,5,2,7] => [5,1,1]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [5,1,4,6,3,2,7] => [6,1]
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [5,1,6,3,4,2,7] => [6,1]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [6,1,4,5,3,2,7] => [3,3,1]
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [6,1,5,4,3,2,7] => [3,2,1,1]
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [6,1,5,3,4,2,7] => [3,3,1]
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [6,1,4,3,5,2,7] => [3,2,1,1]
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [6,1,3,4,5,2,7] => [3,1,1,1,1]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [2,4,1,5,6,3,7] => [6,1]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [2,4,1,6,5,3,7] => [5,1,1]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [2,5,1,6,4,3,7] => [6,1]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [2,6,1,5,4,3,7] => [4,2,1]
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [2,6,1,4,5,3,7] => [4,1,1,1]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [4,1,2,5,6,3,7] => [6,1]
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [4,1,2,6,5,3,7] => [5,1,1]
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [5,1,2,6,4,3,7] => [6,1]
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [6,1,2,5,4,3,7] => [4,2,1]
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [6,1,2,4,5,3,7] => [4,1,1,1]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [2,3,5,1,6,4,7] => [6,1]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [2,3,6,1,5,4,7] => [5,1,1]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [3,5,2,1,6,4,7] => [6,1]
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [3,6,2,1,5,4,7] => [5,1,1]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [3,1,5,2,6,4,7] => [6,1]
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [3,1,6,2,5,4,7] => [5,1,1]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [2,5,1,3,6,4,7] => [6,1]
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [2,6,1,3,5,4,7] => [5,1,1]
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [5,1,2,3,6,4,7] => [6,1]
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [6,1,2,3,5,4,7] => [5,1,1]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [2,3,4,6,1,5,7] => [6,1]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [2,4,6,3,1,5,7] => [6,1]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [3,4,2,6,1,5,7] => [6,1]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [4,3,6,2,1,5,7] => [6,1]
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [4,6,2,3,1,5,7] => [6,1]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [3,1,4,6,2,5,7] => [6,1]
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [4,1,6,3,2,5,7] => [6,1]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [2,4,1,6,3,5,7] => [6,1]
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [4,1,2,6,3,5,7] => [6,1]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [2,3,6,1,4,5,7] => [6,1]
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [3,6,2,1,4,5,7] => [6,1]
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [3,1,6,2,4,5,7] => [6,1]
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [2,6,1,3,4,5,7] => [6,1]
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => [6,1]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [2,3,4,5,1,6,7] => [5,1,1]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [2,3,5,4,1,6,7] => [4,1,1,1]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [2,4,5,3,1,6,7] => [5,1,1]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [2,5,4,3,1,6,7] => [3,2,1,1]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [2,5,3,4,1,6,7] => [3,1,1,1,1]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [3,4,2,5,1,6,7] => [5,1,1]
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [3,5,2,4,1,6,7] => [4,1,1,1]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [4,3,5,2,1,6,7] => [5,1,1]
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [4,5,2,3,1,6,7] => [5,1,1]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [5,3,4,2,1,6,7] => [3,2,1,1]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,4,3,2,1,6,7] => [2,2,1,1,1]
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [5,4,2,3,1,6,7] => [3,2,1,1]
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [5,3,2,4,1,6,7] => [2,2,1,1,1]
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [5,2,3,4,1,6,7] => [2,1,1,1,1,1]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [3,1,4,5,2,6,7] => [5,1,1]
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [3,1,5,4,2,6,7] => [4,1,1,1]
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [4,1,5,3,2,6,7] => [5,1,1]
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [5,1,4,3,2,6,7] => [3,2,1,1]
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [5,1,3,4,2,6,7] => [3,1,1,1,1]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [2,4,1,5,3,6,7] => [5,1,1]
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [2,5,1,4,3,6,7] => [4,1,1,1]
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [4,1,2,5,3,6,7] => [5,1,1]
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [5,1,2,4,3,6,7] => [4,1,1,1]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [2,3,5,1,4,6,7] => [5,1,1]
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [3,5,2,1,4,6,7] => [5,1,1]
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [3,1,5,2,4,6,7] => [5,1,1]
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [2,5,1,3,4,6,7] => [5,1,1]
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => [5,1,1]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [2,3,4,1,5,6,7] => [4,1,1,1]
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [2,4,3,1,5,6,7] => [3,1,1,1,1]
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [3,4,2,1,5,6,7] => [4,1,1,1]
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [4,3,2,1,5,6,7] => [2,2,1,1,1]
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [4,2,3,1,5,6,7] => [2,1,1,1,1,1]
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [3,1,4,2,5,6,7] => [4,1,1,1]
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => [3,1,1,1,1]
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [2,4,1,3,5,6,7] => [4,1,1,1]
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => [4,1,1,1]
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => [3,1,1,1,1]
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => [2,1,1,1,1,1]
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => [3,1,1,1,1]
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,1,1,1,1]
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,1,1,1,1,1,1]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1] => [8]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [2,3,4,5,6,8,7,1] => [7,1]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [2,3,4,5,7,8,6,1] => [8]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [2,3,4,5,8,7,6,1] => [6,2]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [2,3,4,5,8,6,7,1] => [6,1,1]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [2,3,4,6,7,5,8,1] => [8]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [2,3,4,6,8,5,7,1] => [7,1]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [2,3,4,7,6,8,5,1] => [8]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [2,3,4,8,6,7,5,1] => [5,3]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [2,3,4,8,7,6,5,1] => [5,2,1]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [2,3,4,8,7,5,6,1] => [5,3]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [2,3,4,8,6,5,7,1] => [5,2,1]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [2,3,4,8,5,6,7,1] => [5,1,1,1]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [2,3,5,6,4,7,8,1] => [8]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [2,3,5,6,4,8,7,1] => [7,1]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [2,3,5,7,4,8,6,1] => [8]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [6,7,8,4,5,3,2,1] => [2,3,5,8,4,6,7,1] => [6,1,1]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [7,8,5,4,6,3,2,1] => [2,3,6,5,8,4,7,1] => [7,1]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [2,3,6,7,4,5,8,1] => [8]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [7,8,4,5,6,3,2,1] => [2,3,6,8,4,5,7,1] => [7,1]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [2,3,7,5,6,8,4,1] => [8]
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [8,5,4,6,7,3,2,1] => [2,3,7,5,8,4,6,1] => [8]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [2,3,8,5,6,7,4,1] => [4,4]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [2,3,8,5,7,6,4,1] => [4,3,1]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [2,3,8,6,7,5,4,1] => [4,4]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [2,3,8,7,6,5,4,1] => [4,2,2]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [2,3,8,7,4,5,6,1] => [4,4]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [2,3,8,4,5,6,7,1] => [4,1,1,1,1]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [2,4,5,3,6,7,8,1] => [8]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [2,4,5,3,6,8,7,1] => [7,1]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [2,4,5,3,7,8,6,1] => [8]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [2,4,5,3,8,7,6,1] => [6,2]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [6,7,8,5,3,4,2,1] => [2,4,5,3,8,6,7,1] => [6,1,1]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [2,4,6,3,7,5,8,1] => [8]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [2,4,6,3,8,5,7,1] => [7,1]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [8,5,6,7,3,4,2,1] => [2,4,7,3,8,5,6,1] => [8]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [7,5,6,8,3,4,2,1] => [2,4,8,3,7,5,6,1] => [5,3]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [2,4,8,3,6,5,7,1] => [5,2,1]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [2,4,8,3,5,6,7,1] => [5,1,1,1]
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [2,5,4,7,3,8,6,1] => [8]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [7,6,8,4,3,5,2,1] => [2,5,4,8,3,7,6,1] => [6,2]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [2,5,4,8,3,6,7,1] => [6,1,1]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [7,8,6,3,4,5,2,1] => [2,5,6,3,4,8,7,1] => [7,1]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [8,6,7,3,4,5,2,1] => [2,5,7,3,4,8,6,1] => [8]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [2,5,8,3,4,6,7,1] => [6,1,1]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [2,6,4,5,7,3,8,1] => [8]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [2,6,4,5,8,3,7,1] => [7,1]
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [8,7,4,5,3,6,2,1] => [2,6,5,7,4,3,8,1] => [8]
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [8,7,5,3,4,6,2,1] => [2,6,5,3,7,4,8,1] => [8]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [7,8,5,3,4,6,2,1] => [2,6,5,3,8,4,7,1] => [7,1]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [2,6,4,7,3,5,8,1] => [8]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [2,7,4,5,6,8,3,1] => [8]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [8,5,6,4,3,7,2,1] => [2,7,4,6,8,5,3,1] => [8]
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [8,5,6,3,4,7,2,1] => [2,7,6,3,8,5,4,1] => [8]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [2,7,4,6,3,8,5,1] => [8]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [2,7,4,5,8,3,6,1] => [8]
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [8,4,3,5,6,7,2,1] => [2,7,4,8,3,5,6,1] => [8]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [2,7,8,3,4,5,6,1] => [8]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [2,8,4,5,6,7,3,1] => [5,3]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [2,8,4,7,6,5,3,1] => [3,3,2]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [6,7,4,5,3,8,2,1] => [2,8,5,7,4,6,3,1] => [4,3,1]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [2,8,7,5,6,4,3,1] => [3,3,2]
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [5,6,4,7,3,8,2,1] => [2,8,7,6,5,4,3,1] => [3,2,2,1]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [2,8,7,6,4,5,3,1] => [3,3,2]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [2,8,7,5,4,6,3,1] => [3,2,2,1]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [2,8,7,4,5,6,3,1] => [3,2,1,1,1]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [7,5,4,3,6,8,2,1] => [2,8,4,5,7,3,6,1] => [5,3]
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [7,4,3,5,6,8,2,1] => [2,8,4,7,3,5,6,1] => [5,3]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [2,8,7,3,4,5,6,1] => [5,3]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [2,8,4,5,6,3,7,1] => [4,3,1]
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [5,6,4,3,7,8,2,1] => [2,8,4,6,5,3,7,1] => [3,3,1,1]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [6,5,3,4,7,8,2,1] => [2,8,5,3,6,4,7,1] => [4,3,1]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [2,8,6,3,4,5,7,1] => [4,3,1]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [4,5,3,6,7,8,2,1] => [2,8,5,4,3,6,7,1] => [3,2,1,1,1]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [5,3,4,6,7,8,2,1] => [2,8,5,3,4,6,7,1] => [3,3,1,1]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [2,8,4,3,5,6,7,1] => [3,2,1,1,1]
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [2,8,3,4,5,6,7,1] => [3,1,1,1,1,1]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [3,4,2,5,6,7,8,1] => [8]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [3,4,2,5,6,8,7,1] => [7,1]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [3,4,2,5,7,8,6,1] => [8]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [3,4,2,5,8,7,6,1] => [6,2]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [3,4,2,6,7,5,8,1] => [8]
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,2,3,1] => [3,4,2,6,8,5,7,1] => [7,1]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,2,3,1] => [3,4,2,8,6,7,5,1] => [5,3]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [3,4,2,8,5,6,7,1] => [5,1,1,1]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [3,5,2,6,4,7,8,1] => [8]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,2,3,1] => [3,5,2,6,4,8,7,1] => [7,1]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [3,5,2,7,4,8,6,1] => [8]
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,2,3,1] => [3,5,2,8,4,7,6,1] => [6,2]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,2,3,1] => [3,5,2,8,4,6,7,1] => [6,1,1]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [3,6,2,5,7,4,8,1] => [8]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [3,6,2,8,4,5,7,1] => [7,1]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [3,7,2,6,8,5,4,1] => [8]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [3,8,2,6,7,5,4,1] => [4,4]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [3,8,2,7,6,5,4,1] => [4,2,2]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,2,3,1] => [3,8,2,5,7,4,6,1] => [4,4]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,2,3,1] => [3,8,2,5,4,6,7,1] => [4,2,1,1]
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [3,8,2,4,5,6,7,1] => [4,1,1,1,1]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [4,3,5,2,6,7,8,1] => [8]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [4,3,5,2,8,6,7,1] => [6,1,1]
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [4,3,6,2,7,5,8,1] => [8]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [4,3,7,2,6,8,5,1] => [8]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,2,4,1] => [4,3,7,2,8,5,6,1] => [8]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [4,3,8,2,6,7,5,1] => [5,3]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [4,3,8,2,7,6,5,1] => [5,2,1]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,2,4,1] => [4,3,8,2,7,5,6,1] => [5,3]
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,2,4,1] => [4,3,8,2,6,5,7,1] => [5,2,1]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [4,3,8,2,5,6,7,1] => [5,1,1,1]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [4,5,2,3,6,7,8,1] => [8]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [4,5,2,3,8,6,7,1] => [6,1,1]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,2,3,4,1] => [4,6,2,3,7,5,8,1] => [8]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [4,7,2,3,8,5,6,1] => [8]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [6,5,7,8,2,3,4,1] => [4,8,2,3,6,5,7,1] => [5,2,1]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [4,8,2,3,5,6,7,1] => [5,1,1,1]
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [5,3,4,8,2,7,6,1] => [6,2]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [6,7,8,4,3,2,5,1] => [5,3,4,8,2,6,7,1] => [6,1,1]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [5,4,6,3,2,7,8,1] => [8]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [7,8,6,3,4,2,5,1] => [5,4,6,3,2,8,7,1] => [7,1]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [5,4,7,3,2,8,6,1] => [8]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [5,4,8,3,2,7,6,1] => [6,2]
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [5,4,8,3,2,6,7,1] => [6,1,1]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,2,3,5,1] => [5,4,2,6,3,7,8,1] => [8]
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,2,3,5,1] => [5,4,2,6,3,8,7,1] => [7,1]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [5,4,2,8,3,6,7,1] => [6,1,1]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [5,3,6,2,4,7,8,1] => [8]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [5,3,6,2,4,8,7,1] => [7,1]
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [8,6,7,3,2,4,5,1] => [5,3,7,2,4,8,6,1] => [8]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [5,3,8,2,4,6,7,1] => [6,1,1]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [5,7,2,3,4,8,6,1] => [8]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [7,6,8,2,3,4,5,1] => [5,8,2,3,4,7,6,1] => [6,2]
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [5,8,2,3,4,6,7,1] => [6,1,1]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [6,3,4,5,7,2,8,1] => [8]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [6,3,4,5,8,2,7,1] => [7,1]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [6,4,5,3,7,2,8,1] => [8]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [6,4,5,3,8,2,7,1] => [7,1]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [6,5,4,7,3,2,8,1] => [8]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [7,8,4,3,5,2,6,1] => [6,5,4,8,3,2,7,1] => [7,1]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [7,8,3,4,5,2,6,1] => [6,5,8,3,4,2,7,1] => [7,1]
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,2,3,6,1] => [6,4,2,5,8,3,7,1] => [7,1]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [7,8,5,2,3,4,6,1] => [6,5,2,3,8,4,7,1] => [7,1]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [7,8,4,3,2,5,6,1] => [6,3,4,8,2,5,7,1] => [7,1]
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [8,7,3,4,2,5,6,1] => [6,4,7,3,2,5,8,1] => [8]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [6,3,8,2,4,5,7,1] => [7,1]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [6,7,2,3,4,5,8,1] => [8]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [7,3,4,5,6,8,2,1] => [8]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [7,4,6,3,8,5,2,1] => [8]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [7,5,4,6,3,8,2,1] => [8]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [7,6,4,5,8,3,2,1] => [8]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [7,6,5,8,4,3,2,1] => [8]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [7,6,8,3,4,5,2,1] => [8]
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [8,5,6,4,2,3,7,1] => [7,4,2,6,8,5,3,1] => [8]
[.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,2,3,7,1] => [7,6,2,5,8,4,3,1] => [8]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [7,6,2,3,4,8,5,1] => [8]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [7,3,4,5,8,2,6,1] => [8]
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [8,4,5,3,2,6,7,1] => [7,3,5,8,4,2,6,1] => [8]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [7,4,5,3,8,2,6,1] => [8]
[.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [8,4,3,5,2,6,7,1] => [7,5,4,8,3,2,6,1] => [8]
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [7,5,8,3,4,2,6,1] => [8]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [8,5,4,2,3,6,7,1] => [7,4,2,5,8,3,6,1] => [8]
[.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [8,5,2,3,4,6,7,1] => [7,5,2,3,8,4,6,1] => [8]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [7,4,8,3,2,5,6,1] => [8]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [7,3,8,2,4,5,6,1] => [8]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [7,8,2,3,4,5,6,1] => [8]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [8,3,4,5,6,7,2,1] => [6,2]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [8,3,4,5,7,6,2,1] => [5,2,1]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [8,3,4,7,6,5,2,1] => [4,2,2]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [8,3,5,6,4,7,2,1] => [6,2]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [8,3,7,5,6,4,2,1] => [3,3,2]
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [5,6,4,7,3,2,8,1] => [8,3,7,6,5,4,2,1] => [3,2,2,1]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [8,3,7,4,5,6,2,1] => [3,2,1,1,1]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [8,4,6,3,7,5,2,1] => [6,2]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [8,4,7,3,6,5,2,1] => [4,2,2]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [5,6,7,3,4,2,8,1] => [8,4,7,3,5,6,2,1] => [4,2,1,1]
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [6,7,4,3,5,2,8,1] => [8,5,4,7,3,6,2,1] => [5,2,1]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [8,6,4,5,7,3,2,1] => [6,2]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [8,6,5,7,4,3,2,1] => [6,2]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [7,3,4,5,6,2,8,1] => [8,6,7,3,4,5,2,1] => [6,2]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [8,7,4,5,6,3,2,1] => [4,2,2]
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [5,6,4,3,7,2,8,1] => [8,7,4,6,5,3,2,1] => [3,2,2,1]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [8,7,5,6,4,3,2,1] => [4,2,2]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [8,7,6,5,4,3,2,1] => [2,2,2,2]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [8,7,6,4,5,3,2,1] => [2,2,2,1,1]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [8,7,5,3,6,4,2,1] => [4,2,2]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [8,7,4,6,3,5,2,1] => [4,2,2]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [6,3,4,5,7,2,8,1] => [8,7,6,3,4,5,2,1] => [4,2,2]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [8,7,4,5,3,6,2,1] => [3,2,2,1]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [8,7,5,4,3,6,2,1] => [2,2,2,1,1]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [8,7,4,3,5,6,2,1] => [2,2,2,1,1]
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [8,7,3,4,5,6,2,1] => [2,2,1,1,1,1]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [8,4,2,5,6,7,3,1] => [6,2]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [8,4,2,5,7,6,3,1] => [5,2,1]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [8,5,2,7,4,6,3,1] => [5,2,1]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,2,3,8,1] => [8,6,2,5,7,4,3,1] => [6,2]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [7,4,5,6,2,3,8,1] => [8,6,2,7,4,5,3,1] => [6,2]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,2,3,8,1] => [8,7,2,5,6,4,3,1] => [3,3,2]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [8,7,2,6,4,5,3,1] => [3,3,2]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [8,7,2,4,5,6,3,1] => [3,2,1,1,1]
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [7,5,6,3,2,4,8,1] => [8,3,6,2,7,5,4,1] => [6,2]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [6,5,7,3,2,4,8,1] => [8,3,7,2,6,5,4,1] => [4,2,2]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [8,5,2,3,6,7,4,1] => [6,2]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [8,3,4,7,2,6,5,1] => [5,2,1]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [7,6,4,2,3,5,8,1] => [8,4,2,6,3,7,5,1] => [6,2]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [8,3,6,2,4,7,5,1] => [6,2]
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [7,4,5,3,2,6,8,1] => [8,3,5,7,4,2,6,1] => [6,2]
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [7,5,3,4,2,6,8,1] => [8,4,5,3,7,2,6,1] => [6,2]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [7,3,4,5,2,6,8,1] => [8,5,7,3,4,2,6,1] => [6,2]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [8,4,2,5,7,3,6,1] => [6,2]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [8,3,5,2,7,4,6,1] => [6,2]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [7,5,2,3,4,6,8,1] => [8,5,2,3,7,4,6,1] => [6,2]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [7,4,3,2,5,6,8,1] => [8,3,4,7,2,5,6,1] => [6,2]
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [7,3,4,2,5,6,8,1] => [8,4,7,3,2,5,6,1] => [6,2]
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [7,4,2,3,5,6,8,1] => [8,4,2,7,3,5,6,1] => [6,2]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [8,3,7,2,4,5,6,1] => [6,2]
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [8,7,2,3,4,5,6,1] => [6,2]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [8,3,4,5,6,2,7,1] => [5,2,1]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [8,3,6,5,4,2,7,1] => [3,2,2,1]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [8,3,6,4,5,2,7,1] => [3,2,1,1,1]
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [6,5,3,4,2,7,8,1] => [8,4,5,3,6,2,7,1] => [5,2,1]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [5,6,3,4,2,7,8,1] => [8,4,6,3,5,2,7,1] => [4,2,1,1]
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [6,4,3,5,2,7,8,1] => [8,5,4,6,3,2,7,1] => [5,2,1]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [8,5,6,3,4,2,7,1] => [5,2,1]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [8,6,4,5,3,2,7,1] => [3,2,2,1]
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [4,5,3,6,2,7,8,1] => [8,6,5,4,3,2,7,1] => [2,2,2,1,1]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [5,3,4,6,2,7,8,1] => [8,6,5,3,4,2,7,1] => [3,2,2,1]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [8,6,4,3,5,2,7,1] => [2,2,2,1,1]
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [8,6,3,4,5,2,7,1] => [2,2,1,1,1,1]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [6,5,4,2,3,7,8,1] => [8,4,2,5,6,3,7,1] => [5,2,1]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [5,6,4,2,3,7,8,1] => [8,4,2,6,5,3,7,1] => [4,2,1,1]
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [4,5,6,2,3,7,8,1] => [8,6,2,4,5,3,7,1] => [3,2,1,1,1]
[.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [6,3,2,4,5,7,8,1] => [8,3,6,2,4,5,7,1] => [5,2,1]
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [8,6,2,3,4,5,7,1] => [5,2,1]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [8,3,4,5,2,6,7,1] => [4,2,1,1]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [8,3,5,4,2,6,7,1] => [3,2,1,1,1]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [8,5,4,3,2,6,7,1] => [2,2,2,1,1]
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [8,5,3,4,2,6,7,1] => [2,2,1,1,1,1]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [8,3,4,2,5,6,7,1] => [3,2,1,1,1]
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [8,4,3,2,5,6,7,1] => [2,2,1,1,1,1]
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [8,4,2,3,5,6,7,1] => [3,2,1,1,1]
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [8,3,2,4,5,6,7,1] => [2,2,1,1,1,1]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1] => [2,1,1,1,1,1,1]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,2] => [8]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [3,1,4,5,6,8,7,2] => [7,1]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [3,1,4,5,7,8,6,2] => [8]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [3,1,4,5,8,6,7,2] => [6,1,1]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [3,1,4,6,7,5,8,2] => [8]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [3,1,4,6,8,5,7,2] => [7,1]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,3,1,2] => [3,1,4,8,7,6,5,2] => [5,2,1]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [3,1,4,8,6,5,7,2] => [5,2,1]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [3,1,4,8,5,6,7,2] => [5,1,1,1]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [3,1,5,6,4,7,8,2] => [8]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [3,1,5,6,4,8,7,2] => [7,1]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [3,1,5,7,4,8,6,2] => [8]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [3,1,6,5,7,4,8,2] => [8]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,3,1,2] => [3,1,6,8,4,5,7,2] => [7,1]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,3,1,2] => [3,1,7,6,4,8,5,2] => [8]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,3,1,2] => [3,1,8,7,6,5,4,2] => [4,2,2]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,3,1,2] => [3,1,8,6,4,7,5,2] => [4,4]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,3,1,2] => [3,1,8,5,7,4,6,2] => [4,4]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,3,1,2] => [3,1,8,5,4,6,7,2] => [4,2,1,1]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [3,1,8,4,5,6,7,2] => [4,1,1,1,1]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [4,1,5,3,6,7,8,2] => [8]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [4,1,5,3,6,8,7,2] => [7,1]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [4,1,5,3,8,6,7,2] => [6,1,1]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [4,1,6,3,7,5,8,2] => [8]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [4,1,6,3,8,5,7,2] => [7,1]
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,4,1,2] => [4,1,7,3,6,8,5,2] => [8]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [4,1,7,3,8,5,6,2] => [8]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [4,1,8,3,7,5,6,2] => [5,3]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [4,1,8,3,6,5,7,2] => [5,2,1]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [4,1,8,3,5,6,7,2] => [5,1,1,1]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,3,5,1,2] => [5,1,4,8,3,7,6,2] => [6,2]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [5,1,6,3,4,7,8,2] => [8]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [5,1,7,3,4,8,6,2] => [8]
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [6,7,8,3,4,5,1,2] => [5,1,8,3,4,6,7,2] => [6,1,1]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [6,1,4,5,8,3,7,2] => [7,1]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [6,1,5,3,8,4,7,2] => [7,1]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [6,1,4,8,3,5,7,2] => [7,1]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [6,1,8,3,4,5,7,2] => [7,1]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,3,7,1,2] => [7,1,6,5,8,4,3,2] => [8]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [8,6,4,3,5,7,1,2] => [7,1,4,6,3,8,5,2] => [8]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [8,5,3,4,6,7,1,2] => [7,1,5,3,8,4,6,2] => [8]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [7,1,4,8,3,5,6,2] => [8]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [7,1,8,3,4,5,6,2] => [8]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [8,1,4,5,6,7,3,2] => [5,3]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,3,8,1,2] => [8,1,4,5,7,6,3,2] => [4,3,1]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [8,1,4,7,6,5,3,2] => [3,3,2]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,3,8,1,2] => [8,1,5,6,4,7,3,2] => [5,3]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [7,4,5,6,3,8,1,2] => [8,1,6,7,4,5,3,2] => [5,3]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [8,1,7,5,6,4,3,2] => [3,3,2]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [8,1,7,6,5,4,3,2] => [3,2,2,1]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [6,4,5,7,3,8,1,2] => [8,1,7,6,4,5,3,2] => [3,3,2]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [7,5,6,3,4,8,1,2] => [8,1,6,3,7,5,4,2] => [5,3]
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [7,6,4,3,5,8,1,2] => [8,1,4,6,3,7,5,2] => [5,3]
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [6,7,4,3,5,8,1,2] => [8,1,4,7,3,6,5,2] => [4,3,1]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [7,5,4,3,6,8,1,2] => [8,1,4,5,7,3,6,2] => [5,3]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [7,5,3,4,6,8,1,2] => [8,1,5,3,7,4,6,2] => [5,3]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [8,1,7,3,4,5,6,2] => [5,3]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [8,1,4,5,6,3,7,2] => [4,3,1]
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [5,6,4,3,7,8,1,2] => [8,1,4,6,5,3,7,2] => [3,3,1,1]
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [6,5,3,4,7,8,1,2] => [8,1,5,3,6,4,7,2] => [4,3,1]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [8,1,6,3,5,4,7,2] => [3,3,1,1]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [8,1,4,6,3,5,7,2] => [4,3,1]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [8,1,6,3,4,5,7,2] => [4,3,1]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [8,1,4,5,3,6,7,2] => [3,3,1,1]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [8,1,5,4,3,6,7,2] => [3,2,1,1,1]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [8,1,4,3,5,6,7,2] => [3,2,1,1,1]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [8,1,3,4,5,6,7,2] => [3,1,1,1,1,1]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,3] => [8]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [2,4,1,5,8,7,6,3] => [6,2]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [2,4,1,6,8,5,7,3] => [7,1]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,2,1,3] => [2,4,1,7,6,8,5,3] => [8]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [2,4,1,8,6,7,5,3] => [5,3]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,2,1,3] => [2,4,1,8,7,6,5,3] => [5,2,1]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [2,4,1,8,5,6,7,3] => [5,1,1,1]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,2,1,3] => [2,5,1,8,4,6,7,3] => [6,1,1]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,2,1,3] => [2,6,1,5,7,4,8,3] => [8]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,2,1,3] => [2,6,1,5,8,4,7,3] => [7,1]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,2,1,3] => [2,6,1,8,4,5,7,3] => [7,1]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [2,8,1,7,6,5,4,3] => [4,2,2]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,2,1,3] => [2,8,1,7,5,6,4,3] => [4,2,1,1]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,2,1,3] => [2,8,1,7,4,6,5,3] => [4,3,1]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,3] => [8]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [4,1,2,5,6,8,7,3] => [7,1]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [4,1,2,5,8,6,7,3] => [6,1,1]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,1,2,3] => [4,1,2,6,8,5,7,3] => [7,1]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [4,1,2,7,8,5,6,3] => [8]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,1,2,3] => [4,1,2,8,7,6,5,3] => [5,2,1]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,1,2,3] => [4,1,2,8,7,5,6,3] => [5,3]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [4,1,2,8,5,6,7,3] => [5,1,1,1]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [7,8,6,4,5,1,2,3] => [5,1,2,6,4,8,7,3] => [7,1]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,1,2,3] => [6,1,2,5,8,4,7,3] => [7,1]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [6,1,2,7,4,5,8,3] => [8]
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [6,1,2,8,4,5,7,3] => [7,1]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [8,5,6,4,7,1,2,3] => [7,1,2,6,8,5,4,3] => [8]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,1,2,3] => [7,1,2,5,8,4,6,3] => [8]
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [7,1,2,8,4,5,6,3] => [8]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [8,1,2,5,6,7,4,3] => [4,4]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,1,2,3] => [8,1,2,6,7,5,4,3] => [4,4]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,1,2,3] => [8,1,2,7,6,5,4,3] => [4,2,2]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,1,2,3] => [8,1,2,6,4,7,5,3] => [4,4]
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [8,1,2,7,4,6,5,3] => [4,3,1]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [8,1,2,5,7,4,6,3] => [4,4]
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,1,2,3] => [8,1,2,7,4,5,6,3] => [4,4]
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [6,4,5,7,8,1,2,3] => [8,1,2,6,4,5,7,3] => [4,3,1]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [8,1,2,4,5,6,7,3] => [4,1,1,1,1]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,4] => [8]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [2,3,6,1,7,5,8,4] => [8]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [2,3,6,1,8,5,7,4] => [7,1]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [2,3,7,1,6,8,5,4] => [8]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [2,3,7,1,8,5,6,4] => [8]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [2,3,8,1,6,7,5,4] => [5,3]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [2,3,8,1,6,5,7,4] => [5,2,1]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [2,3,8,1,5,6,7,4] => [5,1,1,1]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [3,5,2,1,6,7,8,4] => [8]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,3,1,4] => [3,5,2,1,6,8,7,4] => [7,1]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [3,5,2,1,7,8,6,4] => [8]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,3,1,4] => [3,5,2,1,8,7,6,4] => [6,2]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,3,1,4] => [3,6,2,1,7,5,8,4] => [8]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [3,8,2,1,6,7,5,4] => [5,3]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [3,8,2,1,7,6,5,4] => [5,2,1]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [3,8,2,1,7,5,6,4] => [5,3]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [3,8,2,1,5,6,7,4] => [5,1,1,1]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [3,1,5,2,6,7,8,4] => [8]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,1,2,4] => [3,1,5,2,8,7,6,4] => [6,2]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,1,2,4] => [3,1,5,2,8,6,7,4] => [6,1,1]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [3,1,6,2,7,5,8,4] => [8]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [3,1,6,2,8,5,7,4] => [7,1]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,1,2,4] => [3,1,7,2,8,5,6,4] => [8]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,1,2,4] => [3,1,8,2,6,7,5,4] => [5,3]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [3,1,8,2,7,6,5,4] => [5,2,1]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [3,1,8,2,7,5,6,4] => [5,3]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [3,1,8,2,6,5,7,4] => [5,2,1]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [3,1,8,2,5,6,7,4] => [5,1,1,1]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [2,5,1,3,6,7,8,4] => [8]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [2,5,1,3,6,8,7,4] => [7,1]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,1,3,4] => [2,5,1,3,7,8,6,4] => [8]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [2,5,1,3,8,6,7,4] => [6,1,1]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [2,6,1,3,8,5,7,4] => [7,1]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [7,5,6,8,2,1,3,4] => [2,8,1,3,7,5,6,4] => [5,3]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [2,8,1,3,6,5,7,4] => [5,2,1]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [2,8,1,3,5,6,7,4] => [5,1,1,1]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,4] => [8]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [5,1,2,3,6,8,7,4] => [7,1]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [5,1,2,3,7,8,6,4] => [8]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [5,1,2,3,8,7,6,4] => [6,2]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [5,1,2,3,8,6,7,4] => [6,1,1]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [6,1,2,3,7,5,8,4] => [8]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [6,1,2,3,8,5,7,4] => [7,1]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [7,1,2,3,6,8,5,4] => [8]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [7,1,2,3,8,5,6,4] => [8]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [8,1,2,3,6,7,5,4] => [5,3]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [8,1,2,3,7,6,5,4] => [5,2,1]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [8,1,2,3,7,5,6,4] => [5,3]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [8,1,2,3,6,5,7,4] => [5,2,1]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [8,1,2,3,5,6,7,4] => [5,1,1,1]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,5] => [8]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [2,3,4,6,1,8,7,5] => [7,1]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [2,3,4,8,1,7,6,5] => [6,2]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [2,3,4,8,1,6,7,5] => [6,1,1]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,2,3,1,5] => [3,4,2,8,1,7,6,5] => [6,2]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [3,4,2,8,1,6,7,5] => [6,1,1]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [8,6,7,3,2,4,1,5] => [4,3,7,2,1,8,6,5] => [8]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [6,7,8,3,2,4,1,5] => [4,3,8,2,1,6,7,5] => [6,1,1]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [3,1,4,6,2,7,8,5] => [8]
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [7,8,6,4,3,1,2,5] => [3,1,4,6,2,8,7,5] => [7,1]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [3,1,4,8,2,6,7,5] => [6,1,1]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [4,1,6,3,2,7,8,5] => [8]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [4,1,7,3,2,8,6,5] => [8]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [7,6,8,3,4,1,2,5] => [4,1,8,3,2,7,6,5] => [6,2]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [4,1,8,3,2,6,7,5] => [6,1,1]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [2,4,1,6,3,7,8,5] => [8]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [2,4,1,7,3,8,6,5] => [8]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [4,1,2,6,3,7,8,5] => [8]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [4,1,2,6,3,8,7,5] => [7,1]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,1,2,3,5] => [4,1,2,7,3,8,6,5] => [8]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [4,1,2,8,3,6,7,5] => [6,1,1]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [2,3,6,1,4,7,8,5] => [8]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [7,8,6,3,2,1,4,5] => [2,3,6,1,4,8,7,5] => [7,1]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [8,6,7,3,2,1,4,5] => [2,3,7,1,4,8,6,5] => [8]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [2,3,8,1,4,6,7,5] => [6,1,1]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [7,8,6,2,3,1,4,5] => [3,6,2,1,4,8,7,5] => [7,1]
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [8,6,7,2,3,1,4,5] => [3,7,2,1,4,8,6,5] => [8]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [3,8,2,1,4,6,7,5] => [6,1,1]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [3,1,6,2,4,7,8,5] => [8]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [7,8,6,3,1,2,4,5] => [3,1,6,2,4,8,7,5] => [7,1]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [7,6,8,3,1,2,4,5] => [3,1,8,2,4,7,6,5] => [6,2]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [2,6,1,3,4,7,8,5] => [8]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [2,7,1,3,4,8,6,5] => [8]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,5] => [8]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [6,1,2,3,4,8,7,5] => [7,1]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [7,1,2,3,4,8,6,5] => [8]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [8,1,2,3,4,7,6,5] => [6,2]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [8,1,2,3,4,6,7,5] => [6,1,1]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,6] => [8]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [2,3,4,5,8,1,7,6] => [7,1]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [2,4,5,3,7,1,8,6] => [8]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [8,7,4,3,5,2,1,6] => [2,5,4,7,3,1,8,6] => [8]
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [7,8,4,3,5,2,1,6] => [2,5,4,8,3,1,7,6] => [7,1]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [3,5,2,7,4,1,8,6] => [8]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [4,3,5,2,7,1,8,6] => [8]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [7,8,5,3,2,4,1,6] => [4,3,5,2,8,1,7,6] => [7,1]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [8,7,5,2,3,4,1,6] => [4,5,2,3,7,1,8,6] => [8]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [7,8,5,2,3,4,1,6] => [4,5,2,3,8,1,7,6] => [7,1]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [5,4,8,3,2,1,7,6] => [7,1]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [8,7,4,2,3,5,1,6] => [5,4,2,7,3,1,8,6] => [8]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [7,8,4,2,3,5,1,6] => [5,4,2,8,3,1,7,6] => [7,1]
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [7,8,3,2,4,5,1,6] => [5,3,8,2,4,1,7,6] => [7,1]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [3,1,4,5,7,2,8,6] => [8]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [8,7,5,3,4,1,2,6] => [4,1,5,3,7,2,8,6] => [8]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [7,8,5,3,4,1,2,6] => [4,1,5,3,8,2,7,6] => [7,1]
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [8,7,4,3,5,1,2,6] => [5,1,4,7,3,2,8,6] => [8]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [7,8,4,3,5,1,2,6] => [5,1,4,8,3,2,7,6] => [7,1]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [5,1,7,3,4,2,8,6] => [8]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [7,8,3,4,5,1,2,6] => [5,1,8,3,4,2,7,6] => [7,1]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,2,1,3,6] => [2,4,1,5,7,3,8,6] => [8]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [2,4,1,5,8,3,7,6] => [7,1]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [7,8,4,5,2,1,3,6] => [2,5,1,8,4,3,7,6] => [7,1]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,1,2,3,6] => [4,1,2,5,7,3,8,6] => [8]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [4,1,2,5,8,3,7,6] => [7,1]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [5,1,2,8,4,3,7,6] => [7,1]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [2,3,5,1,7,4,8,6] => [8]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [7,8,5,3,2,1,4,6] => [2,3,5,1,8,4,7,6] => [7,1]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [8,7,5,2,3,1,4,6] => [3,5,2,1,7,4,8,6] => [8]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [3,1,5,2,7,4,8,6] => [8]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [7,8,5,3,1,2,4,6] => [3,1,5,2,8,4,7,6] => [7,1]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [2,5,1,3,7,4,8,6] => [8]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [2,5,1,3,8,4,7,6] => [7,1]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [5,1,2,3,7,4,8,6] => [8]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [5,1,2,3,8,4,7,6] => [7,1]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [2,3,4,7,1,5,8,6] => [8]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [2,3,4,8,1,5,7,6] => [7,1]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [8,7,3,2,4,1,5,6] => [4,3,7,2,1,5,8,6] => [8]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [4,3,8,2,1,5,7,6] => [7,1]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [4,8,2,3,1,5,7,6] => [7,1]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [8,7,4,3,1,2,5,6] => [3,1,4,7,2,5,8,6] => [8]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [7,8,4,3,1,2,5,6] => [3,1,4,8,2,5,7,6] => [7,1]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [8,7,3,4,1,2,5,6] => [4,1,7,3,2,5,8,6] => [8]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [2,4,1,7,3,5,8,6] => [8]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [4,1,2,7,3,5,8,6] => [8]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [2,3,7,1,4,5,8,6] => [8]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [2,3,8,1,4,5,7,6] => [7,1]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [3,8,2,1,4,5,7,6] => [7,1]
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [7,8,3,1,2,4,5,6] => [3,1,8,2,4,5,7,6] => [7,1]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [2,7,1,3,4,5,8,6] => [8]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [2,8,1,3,4,5,7,6] => [7,1]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,6] => [8]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [8,1,2,3,4,5,7,6] => [7,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,7] => [8]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [2,3,4,6,8,5,1,7] => [8]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [8,5,4,6,3,2,1,7] => [2,3,6,5,8,4,1,7] => [8]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [2,3,6,8,4,5,1,7] => [8]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [2,4,5,3,6,8,1,7] => [8]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [8,5,6,3,4,2,1,7] => [2,4,6,3,8,5,1,7] => [8]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [8,5,4,3,6,2,1,7] => [2,6,4,5,8,3,1,7] => [8]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [3,4,2,5,6,8,1,7] => [8]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,2,3,1,7] => [3,5,2,6,4,8,1,7] => [8]
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [8,4,5,6,2,3,1,7] => [3,6,2,8,4,5,1,7] => [8]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [4,3,5,2,6,8,1,7] => [8]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [8,6,4,3,2,5,1,7] => [5,3,4,6,2,8,1,7] => [8]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [5,3,6,2,4,8,1,7] => [8]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [6,3,4,5,8,2,1,7] => [8]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [8,4,5,3,2,6,1,7] => [6,3,5,8,4,2,1,7] => [8]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [8,5,3,4,2,6,1,7] => [6,4,5,3,8,2,1,7] => [8]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [8,3,4,5,2,6,1,7] => [6,5,8,3,4,2,1,7] => [8]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [6,5,2,8,4,3,1,7] => [8]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [8,4,2,3,5,6,1,7] => [6,4,2,8,3,5,1,7] => [8]
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [6,3,8,2,4,5,1,7] => [8]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [3,1,4,5,6,8,2,7] => [8]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [4,1,5,3,6,8,2,7] => [8]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [4,1,6,3,8,5,2,7] => [8]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [8,6,3,4,5,1,2,7] => [5,1,6,3,4,8,2,7] => [8]
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [8,5,4,3,6,1,2,7] => [6,1,4,5,8,3,2,7] => [8]
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [6,1,8,3,4,5,2,7] => [8]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [2,4,1,5,6,8,3,7] => [8]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,2,1,3,7] => [2,5,1,6,4,8,3,7] => [8]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [8,4,5,6,2,1,3,7] => [2,6,1,8,4,5,3,7] => [8]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [4,1,2,5,6,8,3,7] => [8]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [4,1,2,6,8,5,3,7] => [8]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [5,1,2,6,4,8,3,7] => [8]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [2,3,5,1,6,8,4,7] => [8]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [8,5,6,3,2,1,4,7] => [2,3,6,1,8,5,4,7] => [8]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [3,5,2,1,6,8,4,7] => [8]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [3,6,2,1,8,5,4,7] => [8]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [8,6,5,3,1,2,4,7] => [3,1,5,2,6,8,4,7] => [8]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [2,5,1,3,6,8,4,7] => [8]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [2,6,1,3,8,5,4,7] => [8]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [5,1,2,3,6,8,4,7] => [8]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [6,1,2,3,8,5,4,7] => [8]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [2,3,4,6,1,8,5,7] => [8]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [2,4,6,3,1,8,5,7] => [8]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,2,1,8,5,7] => [8]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [8,6,4,3,1,2,5,7] => [3,1,4,6,2,8,5,7] => [8]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [2,4,1,6,3,8,5,7] => [8]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [4,1,2,6,3,8,5,7] => [8]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [8,6,3,2,1,4,5,7] => [2,3,6,1,4,8,5,7] => [8]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [8,6,2,3,1,4,5,7] => [3,6,2,1,4,8,5,7] => [8]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [6,1,2,3,4,8,5,7] => [8]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [2,3,4,5,8,1,6,7] => [8]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [8,4,3,5,2,1,6,7] => [2,5,4,8,3,1,6,7] => [8]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [2,5,8,3,4,1,6,7] => [8]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [8,5,3,2,4,1,6,7] => [4,3,5,2,8,1,6,7] => [8]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [4,5,2,3,8,1,6,7] => [8]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [8,4,2,3,5,1,6,7] => [5,4,2,8,3,1,6,7] => [8]
[[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [8,3,2,4,5,1,6,7] => [5,3,8,2,4,1,6,7] => [8]
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [5,8,2,3,4,1,6,7] => [8]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [8,5,4,3,1,2,6,7] => [3,1,4,5,8,2,6,7] => [8]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [8,5,3,4,1,2,6,7] => [4,1,5,3,8,2,6,7] => [8]
[[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [8,4,3,5,1,2,6,7] => [5,1,4,8,3,2,6,7] => [8]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [8,5,4,2,1,3,6,7] => [2,4,1,5,8,3,6,7] => [8]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [4,1,2,5,8,3,6,7] => [8]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [8,5,3,2,1,4,6,7] => [2,3,5,1,8,4,6,7] => [8]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [3,1,5,2,8,4,6,7] => [8]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [2,5,1,3,8,4,6,7] => [8]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [5,1,2,3,8,4,6,7] => [8]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [2,3,4,8,1,5,6,7] => [8]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [2,4,8,3,1,5,6,7] => [8]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [3,4,2,8,1,5,6,7] => [8]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [8,3,2,4,1,5,6,7] => [4,3,8,2,1,5,6,7] => [8]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [4,8,2,3,1,5,6,7] => [8]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [8,4,3,1,2,5,6,7] => [3,1,4,8,2,5,6,7] => [8]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [4,1,8,3,2,5,6,7] => [8]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [2,4,1,8,3,5,6,7] => [8]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [4,1,2,8,3,5,6,7] => [8]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [2,3,8,1,4,5,6,7] => [8]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [3,8,2,1,4,5,6,7] => [8]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,1,8,2,4,5,6,7] => [8]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [2,8,1,3,4,5,6,7] => [8]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => [8]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,1,8] => [7,1]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [2,3,4,5,7,6,1,8] => [6,1,1]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [2,3,4,6,7,5,1,8] => [7,1]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [2,3,4,7,6,5,1,8] => [5,2,1]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [2,3,4,7,5,6,1,8] => [5,1,1,1]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [7,5,4,6,3,2,1,8] => [2,3,6,5,7,4,1,8] => [7,1]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [2,3,7,5,6,4,1,8] => [4,3,1]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [2,3,7,6,5,4,1,8] => [4,2,1,1]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [2,3,7,5,4,6,1,8] => [4,2,1,1]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [2,4,6,3,7,5,1,8] => [7,1]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [2,4,7,3,5,6,1,8] => [5,1,1,1]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [2,5,4,6,3,7,1,8] => [7,1]
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [6,7,4,3,5,2,1,8] => [2,5,4,7,3,6,1,8] => [6,1,1]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [2,6,4,5,7,3,1,8] => [7,1]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [7,4,3,5,6,2,1,8] => [2,6,4,7,3,5,1,8] => [7,1]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [7,3,4,5,6,2,1,8] => [2,6,7,3,4,5,1,8] => [7,1]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [2,7,4,5,6,3,1,8] => [4,3,1]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [2,7,6,5,4,3,1,8] => [3,2,2,1]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [6,5,3,4,7,2,1,8] => [2,7,5,3,6,4,1,8] => [4,3,1]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [5,6,3,4,7,2,1,8] => [2,7,6,3,5,4,1,8] => [3,3,1,1]
[[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [6,3,4,5,7,2,1,8] => [2,7,6,3,4,5,1,8] => [4,3,1]
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [2,7,3,4,5,6,1,8] => [3,1,1,1,1,1]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [3,4,2,5,6,7,1,8] => [7,1]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [3,4,2,5,7,6,1,8] => [6,1,1]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [3,4,2,6,7,5,1,8] => [7,1]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [3,4,2,7,5,6,1,8] => [5,1,1,1]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [3,5,2,6,4,7,1,8] => [7,1]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [3,5,2,7,4,6,1,8] => [6,1,1]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [6,5,4,7,2,3,1,8] => [3,7,2,5,6,4,1,8] => [4,3,1]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [3,7,2,6,5,4,1,8] => [4,2,1,1]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [5,4,6,7,2,3,1,8] => [3,7,2,5,4,6,1,8] => [4,2,1,1]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [7,5,6,3,2,4,1,8] => [4,3,6,2,7,5,1,8] => [7,1]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [4,3,7,2,6,5,1,8] => [5,2,1]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [4,3,7,2,5,6,1,8] => [5,1,1,1]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [4,5,2,3,6,7,1,8] => [7,1]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [4,5,2,3,7,6,1,8] => [6,1,1]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [4,6,2,3,7,5,1,8] => [7,1]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [4,7,2,3,6,5,1,8] => [5,2,1]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [4,7,2,3,5,6,1,8] => [5,1,1,1]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [7,6,4,3,2,5,1,8] => [5,3,4,6,2,7,1,8] => [7,1]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [6,7,4,3,2,5,1,8] => [5,3,4,7,2,6,1,8] => [6,1,1]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [5,4,2,6,3,7,1,8] => [7,1]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [6,7,4,2,3,5,1,8] => [5,4,2,7,3,6,1,8] => [6,1,1]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [5,3,6,2,4,7,1,8] => [7,1]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [6,7,3,2,4,5,1,8] => [5,3,7,2,4,6,1,8] => [6,1,1]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [7,4,3,5,2,6,1,8] => [6,5,4,7,3,2,1,8] => [7,1]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [7,3,4,5,2,6,1,8] => [6,5,7,3,4,2,1,8] => [7,1]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [7,5,4,2,3,6,1,8] => [6,4,2,5,7,3,1,8] => [7,1]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [6,3,5,2,7,4,1,8] => [7,1]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [7,4,2,3,5,6,1,8] => [6,4,2,7,3,5,1,8] => [7,1]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [6,7,2,3,4,5,1,8] => [7,1]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [7,3,4,5,6,2,1,8] => [5,2,1]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [7,3,6,5,4,2,1,8] => [3,2,2,1]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [7,4,6,3,5,2,1,8] => [4,2,1,1]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [6,4,3,5,2,7,1,8] => [7,5,4,6,3,2,1,8] => [5,2,1]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [7,5,6,3,4,2,1,8] => [5,2,1]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [7,6,4,5,3,2,1,8] => [3,2,2,1]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [7,6,5,4,3,2,1,8] => [2,2,2,1,1]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [7,6,5,3,4,2,1,8] => [3,2,2,1]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [7,6,4,3,5,2,1,8] => [2,2,2,1,1]
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [7,6,3,4,5,2,1,8] => [2,2,1,1,1,1]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [6,5,4,2,3,7,1,8] => [7,4,2,5,6,3,1,8] => [5,2,1]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [5,4,6,2,3,7,1,8] => [7,6,2,5,4,3,1,8] => [3,2,2,1]
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [4,5,6,2,3,7,1,8] => [7,6,2,4,5,3,1,8] => [3,2,1,1,1]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [7,3,5,2,6,4,1,8] => [5,2,1]
[[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [5,6,3,2,4,7,1,8] => [7,3,6,2,5,4,1,8] => [4,2,1,1]
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [5,6,2,3,4,7,1,8] => [7,6,2,3,5,4,1,8] => [4,2,1,1]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [7,4,2,6,3,5,1,8] => [5,2,1]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [6,2,3,4,5,7,1,8] => [7,6,2,3,4,5,1,8] => [5,2,1]
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [4,5,3,2,6,7,1,8] => [7,3,5,4,2,6,1,8] => [3,2,1,1,1]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [5,3,4,2,6,7,1,8] => [7,4,5,3,2,6,1,8] => [4,2,1,1]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [4,3,5,2,6,7,1,8] => [7,5,4,3,2,6,1,8] => [2,2,2,1,1]
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [7,5,3,4,2,6,1,8] => [2,2,1,1,1,1]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [5,3,2,4,6,7,1,8] => [7,3,5,2,4,6,1,8] => [4,2,1,1]
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [4,2,3,5,6,7,1,8] => [7,4,2,3,5,6,1,8] => [3,2,1,1,1]
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [7,2,3,4,5,6,1,8] => [2,1,1,1,1,1,1]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [3,1,4,5,6,7,2,8] => [7,1]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [3,1,4,5,7,6,2,8] => [6,1,1]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [6,5,7,4,3,1,2,8] => [3,1,4,7,6,5,2,8] => [5,2,1]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [5,6,7,4,3,1,2,8] => [3,1,4,7,5,6,2,8] => [5,1,1,1]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [3,1,7,4,5,6,2,8] => [4,1,1,1,1]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [6,5,7,3,4,1,2,8] => [4,1,7,3,6,5,2,8] => [5,2,1]
[[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [5,6,4,3,7,1,2,8] => [7,1,4,6,5,3,2,8] => [3,3,1,1]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [6,5,3,4,7,1,2,8] => [7,1,5,3,6,4,2,8] => [4,3,1]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [7,1,6,3,5,4,2,8] => [3,3,1,1]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [7,1,3,4,5,6,2,8] => [3,1,1,1,1,1]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [2,4,1,5,6,7,3,8] => [7,1]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [5,6,7,4,2,1,3,8] => [2,4,1,7,5,6,3,8] => [5,1,1,1]
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,2,1,3,8] => [2,5,1,6,4,7,3,8] => [7,1]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [2,6,1,5,7,4,3,8] => [7,1]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [4,1,2,5,6,7,3,8] => [7,1]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [6,7,5,4,1,2,3,8] => [4,1,2,5,7,6,3,8] => [6,1,1]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [7,5,6,4,1,2,3,8] => [4,1,2,6,7,5,3,8] => [7,1]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [4,1,2,7,5,6,3,8] => [5,1,1,1]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [7,1,2,6,5,4,3,8] => [4,2,1,1]
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [6,4,5,7,1,2,3,8] => [7,1,2,6,4,5,3,8] => [4,3,1]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [7,1,2,5,4,6,3,8] => [4,2,1,1]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [5,6,7,3,2,1,4,8] => [2,3,7,1,5,6,4,8] => [5,1,1,1]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [3,7,2,1,5,6,4,8] => [5,1,1,1]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [3,1,7,2,5,6,4,8] => [5,1,1,1]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [7,5,6,2,1,3,4,8] => [2,6,1,3,7,5,4,8] => [7,1]
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [2,7,1,3,5,6,4,8] => [5,1,1,1]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [5,1,2,3,6,7,4,8] => [7,1]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [5,1,2,3,7,6,4,8] => [6,1,1]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [6,1,2,3,7,5,4,8] => [7,1]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [7,1,2,3,6,5,4,8] => [5,2,1]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [7,1,2,3,5,6,4,8] => [5,1,1,1]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [6,7,4,3,2,1,5,8] => [2,3,4,7,1,6,5,8] => [6,1,1]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [7,6,4,2,3,1,5,8] => [3,4,2,6,1,7,5,8] => [7,1]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [7,6,3,2,4,1,5,8] => [4,3,6,2,1,7,5,8] => [7,1]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [7,6,2,3,4,1,5,8] => [4,6,2,3,1,7,5,8] => [7,1]
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [7,6,3,4,1,2,5,8] => [4,1,6,3,2,7,5,8] => [7,1]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [6,7,3,4,1,2,5,8] => [4,1,7,3,2,6,5,8] => [6,1,1]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [2,4,1,6,3,7,5,8] => [7,1]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [7,6,4,1,2,3,5,8] => [4,1,2,6,3,7,5,8] => [7,1]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [2,3,6,1,4,7,5,8] => [7,1]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [7,6,2,3,1,4,5,8] => [3,6,2,1,4,7,5,8] => [7,1]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [6,1,2,3,4,7,5,8] => [7,1]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [7,1,2,3,4,6,5,8] => [6,1,1]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [2,3,4,5,7,1,6,8] => [7,1]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [7,3,4,5,2,1,6,8] => [2,5,7,3,4,1,6,8] => [7,1]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [7,4,5,2,3,1,6,8] => [3,5,2,7,4,1,6,8] => [7,1]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [4,3,5,2,7,1,6,8] => [7,1]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [7,5,2,3,4,1,6,8] => [4,5,2,3,7,1,6,8] => [7,1]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [7,4,3,2,5,1,6,8] => [5,3,4,7,2,1,6,8] => [7,1]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [7,4,2,3,5,1,6,8] => [5,4,2,7,3,1,6,8] => [7,1]
[[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [7,3,2,4,5,1,6,8] => [5,3,7,2,4,1,6,8] => [7,1]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [5,7,2,3,4,1,6,8] => [7,1]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [7,5,4,1,2,3,6,8] => [4,1,2,5,7,3,6,8] => [7,1]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [7,5,2,3,1,4,6,8] => [3,5,2,1,7,4,6,8] => [7,1]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [3,1,5,2,7,4,6,8] => [7,1]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [2,3,4,7,1,5,6,8] => [7,1]
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [7,4,2,3,1,5,6,8] => [3,4,2,7,1,5,6,8] => [7,1]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [7,3,2,4,1,5,6,8] => [4,3,7,2,1,5,6,8] => [7,1]
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [7,3,4,1,2,5,6,8] => [4,1,7,3,2,5,6,8] => [7,1]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [4,1,2,7,3,5,6,8] => [7,1]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [2,3,7,1,4,5,6,8] => [7,1]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [3,1,7,2,4,5,6,8] => [7,1]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [2,7,1,3,4,5,6,8] => [7,1]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,6,8] => [7,1]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [2,3,4,5,6,1,7,8] => [6,1,1]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [2,3,4,6,5,1,7,8] => [5,1,1,1]
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [6,4,5,3,2,1,7,8] => [2,3,5,6,4,1,7,8] => [6,1,1]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [2,3,6,4,5,1,7,8] => [4,1,1,1,1]
[[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [5,3,4,6,2,1,7,8] => [2,6,5,3,4,1,7,8] => [3,3,1,1]
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [2,6,3,4,5,1,7,8] => [3,1,1,1,1,1]
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [6,5,4,2,3,1,7,8] => [3,4,2,5,6,1,7,8] => [6,1,1]
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [6,5,3,2,4,1,7,8] => [4,3,5,2,6,1,7,8] => [6,1,1]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [5,6,3,2,4,1,7,8] => [4,3,6,2,5,1,7,8] => [5,1,1,1]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [6,3,4,2,5,1,7,8] => [5,4,6,3,2,1,7,8] => [6,1,1]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [6,4,2,3,5,1,7,8] => [5,4,2,6,3,1,7,8] => [6,1,1]
[[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [6,3,2,4,5,1,7,8] => [5,3,6,2,4,1,7,8] => [6,1,1]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [6,2,3,4,5,1,7,8] => [5,6,2,3,4,1,7,8] => [6,1,1]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [6,5,4,3,2,1,7,8] => [2,2,2,1,1]
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [6,5,3,4,2,1,7,8] => [2,2,1,1,1,1]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [6,5,2,3,4,1,7,8] => [4,2,1,1]
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [6,4,3,2,5,1,7,8] => [2,2,1,1,1,1]
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [6,2,3,4,5,1,7,8] => [2,1,1,1,1,1,1]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [3,1,4,6,5,2,7,8] => [5,1,1,1]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [6,4,5,3,1,2,7,8] => [3,1,5,6,4,2,7,8] => [6,1,1]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [3,1,6,5,4,2,7,8] => [4,2,1,1]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [4,1,6,3,5,2,7,8] => [5,1,1,1]
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [6,3,4,5,1,2,7,8] => [5,1,6,3,4,2,7,8] => [6,1,1]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [6,1,4,5,3,2,7,8] => [3,3,1,1]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [6,1,3,4,5,2,7,8] => [3,1,1,1,1,1]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [6,5,4,2,1,3,7,8] => [2,4,1,5,6,3,7,8] => [6,1,1]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [2,4,1,6,5,3,7,8] => [5,1,1,1]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [6,4,5,2,1,3,7,8] => [2,5,1,6,4,3,7,8] => [6,1,1]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [5,4,6,2,1,3,7,8] => [2,6,1,5,4,3,7,8] => [4,2,1,1]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [4,1,2,5,6,3,7,8] => [6,1,1]
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [5,6,4,1,2,3,7,8] => [4,1,2,6,5,3,7,8] => [5,1,1,1]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [2,3,6,1,5,4,7,8] => [5,1,1,1]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [6,5,2,3,1,4,7,8] => [3,5,2,1,6,4,7,8] => [6,1,1]
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [5,6,2,3,1,4,7,8] => [3,6,2,1,5,4,7,8] => [5,1,1,1]
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [5,6,3,1,2,4,7,8] => [3,1,6,2,5,4,7,8] => [5,1,1,1]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [6,5,2,1,3,4,7,8] => [2,5,1,3,6,4,7,8] => [6,1,1]
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [5,6,2,1,3,4,7,8] => [2,6,1,3,5,4,7,8] => [5,1,1,1]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [6,5,1,2,3,4,7,8] => [5,1,2,3,6,4,7,8] => [6,1,1]
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [5,6,1,2,3,4,7,8] => [6,1,2,3,5,4,7,8] => [5,1,1,1]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [2,3,4,6,1,5,7,8] => [6,1,1]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [6,2,3,4,1,5,7,8] => [4,6,2,3,1,5,7,8] => [6,1,1]
[[[[[.,.],[[.,.],.]],[.,.]],.],.] => [6,3,4,1,2,5,7,8] => [4,1,6,3,2,5,7,8] => [6,1,1]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [2,3,6,1,4,5,7,8] => [6,1,1]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [3,1,6,2,4,5,7,8] => [6,1,1]
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [6,2,1,3,4,5,7,8] => [2,6,1,3,4,5,7,8] => [6,1,1]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [6,1,2,3,4,5,7,8] => [6,1,1]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [2,3,4,5,1,6,7,8] => [5,1,1,1]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [2,3,5,4,1,6,7,8] => [4,1,1,1,1]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [2,4,5,3,1,6,7,8] => [5,1,1,1]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [2,5,4,3,1,6,7,8] => [3,2,1,1,1]
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [2,5,3,4,1,6,7,8] => [3,1,1,1,1,1]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [3,4,2,5,1,6,7,8] => [5,1,1,1]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [3,5,2,4,1,6,7,8] => [4,1,1,1,1]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [4,3,5,2,1,6,7,8] => [5,1,1,1]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [4,5,2,3,1,6,7,8] => [5,1,1,1]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [5,3,4,2,1,6,7,8] => [3,2,1,1,1]
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [5,4,3,2,1,6,7,8] => [2,2,1,1,1,1]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [5,4,2,3,1,6,7,8] => [3,2,1,1,1]
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [5,3,2,4,1,6,7,8] => [2,2,1,1,1,1]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [5,2,3,4,1,6,7,8] => [2,1,1,1,1,1,1]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [3,1,4,5,2,6,7,8] => [5,1,1,1]
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [4,3,5,1,2,6,7,8] => [5,1,4,3,2,6,7,8] => [3,2,1,1,1]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [5,1,3,4,2,6,7,8] => [3,1,1,1,1,1]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [2,4,1,5,3,6,7,8] => [5,1,1,1]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [4,1,2,5,3,6,7,8] => [5,1,1,1]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [5,1,2,4,3,6,7,8] => [4,1,1,1,1]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [2,3,5,1,4,6,7,8] => [5,1,1,1]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [3,5,2,1,4,6,7,8] => [5,1,1,1]
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [2,5,1,3,4,6,7,8] => [5,1,1,1]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [5,1,2,3,4,6,7,8] => [5,1,1,1]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => [4,1,1,1,1]
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [2,4,3,1,5,6,7,8] => [3,1,1,1,1,1]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [3,4,2,1,5,6,7,8] => [4,1,1,1,1]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [2,2,1,1,1,1]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => [2,1,1,1,1,1,1]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [3,1,4,2,5,6,7,8] => [4,1,1,1,1]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [4,1,3,2,5,6,7,8] => [3,1,1,1,1,1]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [2,4,1,3,5,6,7,8] => [4,1,1,1,1]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [4,1,2,3,5,6,7,8] => [4,1,1,1,1]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [3,1,1,1,1,1]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [2,1,1,1,1,1,1]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [3,1,1,1,1,1]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [2,1,1,1,1,1,1]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1] => [9]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [2,3,4,5,6,7,9,8,1] => [8,1]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [2,3,4,5,6,9,7,8,1] => [7,1,1]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [2,3,4,5,9,6,7,8,1] => [6,1,1,1]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [2,9,3,4,5,6,7,8,1] => [3,1,1,1,1,1,1]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [9,2,3,4,5,6,7,8,1] => [2,1,1,1,1,1,1,1]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,1] => [10]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,10,9,1] => [9,1]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [9,7,8,6,5,4,3,2,1] => [2,3,4,5,6,8,9,7,1] => [9]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [2,3,4,5,6,7,10,8,9,1] => [8,1,1]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [2,3,4,5,6,10,7,8,9,1] => [7,1,1,1]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [2,3,4,5,10,6,7,8,9,1] => [6,1,1,1,1]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [2,10,3,4,5,6,7,8,9,1] => [3,1,1,1,1,1,1,1]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [10,2,3,4,5,6,7,8,9,1] => [2,1,1,1,1,1,1,1,1]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,1,1,1,1,1,1,1,1,1]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [2,3,4,5,6,9,8,7,1] => [7,2]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [2,3,4,5,9,7,8,6,1] => [6,3]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [2,3,4,9,6,7,8,5,1] => [5,4]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [2,3,9,5,6,7,8,4,1] => [5,4]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [2,9,4,5,6,7,8,3,1] => [6,3]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [9,3,4,5,6,7,8,2,1] => [7,2]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,1,9] => [8,1]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [2,3,4,5,6,7,10,9,8,1] => [8,2]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [2,3,4,5,6,10,8,9,7,1] => [7,3]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [2,3,4,5,10,7,8,9,6,1] => [6,4]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [2,3,4,10,6,7,8,9,5,1] => [5,5]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [2,3,10,5,6,7,8,9,4,1] => [6,4]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [2,10,4,5,6,7,8,9,3,1] => [7,3]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [3,1,4,5,6,7,8,2,9] => [8,1]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [10,3,4,5,6,7,8,9,2,1] => [8,2]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,1,10] => [9,1]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [6,7,5,8,4,9,3,10,1,2] => [10,1,9,8,7,6,5,4,3,2] => [3,2,2,2,1]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [9,8,7,6,5,4,3,2,1,10] => [2,2,2,2,1,1]
[[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.] => [6,7,5,8,4,9,3,10,2,11,1,12] => [11,10,9,8,7,6,5,4,3,2,1,12] => [2,2,2,2,2,1,1]
[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [7,5,6,4,8,3,9,2,10,1] => [10,9,8,6,7,5,4,3,2,1] => [4,2,2,2]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [10,8,6,4,2,1,3,5,7,9] => [2,4,1,6,3,8,5,10,7,9] => [10]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => [9]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,9] => [10]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [2,9,1,3,4,5,6,7,8] => [9]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [9,3,2,4,5,6,7,8,1] => [2,2,1,1,1,1,1]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [11,1,2,3,4,5,6,7,8,9,10] => [11]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [2,10,1,3,4,5,6,7,8,9] => [10]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [3,1,9,2,4,5,6,7,8] => [9]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [9,4,3,2,5,6,7,8,1] => [2,2,1,1,1,1,1]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [10,3,2,4,5,6,7,8,9,1] => [2,2,1,1,1,1,1,1]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [11,2,3,4,5,6,7,8,9,10,1] => [2,1,1,1,1,1,1,1,1,1]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [9,1,2,3,4,5,6,8,7] => [8,1]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [7,8,9,1,2,3,4,5,6] => [9,1,2,3,4,5,7,8,6] => [7,1,1]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,7] => [9]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [10,1,2,3,4,5,6,7,9,8] => [9,1]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [8,7,9,1,2,3,4,5,6] => [9,1,2,3,4,5,8,7,6] => [7,2]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,1,2,3,4,5] => [10,1,2,3,4,6,7,8,9,5] => [6,1,1,1,1]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,2] => [9]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,10,2] => [10]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,1,11] => [10,1]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [11,10,9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,10,11,2] => [11]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [10,9,8,7,6,5,4,3,2,1] => [2,2,2,2,2]
[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [7,6,8,4,3,5,9,2,10,1] => [10,9,4,8,3,7,6,5,2,1] => [4,2,2,2]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [10,5,4,6,3,7,2,8,1,9] => [8,7,6,5,10,4,3,2,1,9] => [10]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [12,11,10,9,8,7,6,5,4,3,2,1] => [2,2,2,2,2,2]
[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.] => [6,4,5,7,3,8,2,9,1,10] => [9,8,7,6,4,5,3,2,1,10] => [3,2,2,2,1]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,9,3] => [9]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,9,4] => [9]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [9,8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,9,5] => [9]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [9,8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,9,6] => [9]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [9,8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,9,7] => [9]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,8] => [9]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,9,3] => [9]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,9,10,3] => [10]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,9,10,4] => [10]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,9,10,5] => [10]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [10,9,8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,9,10,6] => [10]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [10,9,8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,9,10,7] => [10]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [10,9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,10,8] => [10]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,10,1,9] => [10]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,1,8,9] => [7,1,1]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [2,3,4,5,6,1,7,8,9] => [6,1,1,1]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [5,1,1,1,1]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => [4,1,1,1,1,1]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [3,1,1,1,1,1,1]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [2,1,1,1,1,1,1,1]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [2,3,4,5,6,7,8,1,9,10] => [8,1,1]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [2,3,4,5,6,7,1,8,9,10] => [7,1,1,1]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10] => [6,1,1,1,1]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10] => [5,1,1,1,1,1]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10] => [4,1,1,1,1,1,1]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [4,3,1,2,5,6,7,8,9] => [3,1,4,2,5,6,7,8,9] => [4,1,1,1,1,1]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [3,1,1,1,1,1,1,1]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => [3,1,1,1,1,1,1]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1]
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [9,8,7,5,6,4,3,2,1] => [2,3,4,6,7,5,8,9,1] => [9]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,2,3,1] => [3,4,2,5,6,7,8,9,1] => [9]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [10,8,9,6,7,4,5,2,3,1] => [3,5,2,7,4,9,6,10,8,1] => [10]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]] => [12,10,11,8,9,6,7,4,5,2,3,1] => [3,5,2,7,4,9,6,11,8,12,10,1] => [12]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [9,2,3,4,5,6,7,8,1] => [8,9,2,3,4,5,6,7,1] => [9]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,1,1,1,1,1,1,1,1]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [8,2,1,3,4,5,6,7,9] => [2,8,1,3,4,5,6,7,9] => [8,1]
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [8,2,3,4,5,6,7,9,1] => [9,8,2,3,4,5,6,7,1] => [7,2]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [4,2,1,3,5,6,7,8,9] => [2,4,1,3,5,6,7,8,9] => [4,1,1,1,1,1]
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [5,3,2,1,4,6,7,8,9] => [2,3,5,1,4,6,7,8,9] => [5,1,1,1,1]
[[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.] => [6,4,3,2,1,5,7,8,9] => [2,3,4,6,1,5,7,8,9] => [6,1,1,1]
[[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.] => [7,5,4,3,2,1,6,8,9] => [2,3,4,5,7,1,6,8,9] => [7,1,1]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [8,6,5,4,3,2,1,7,9] => [2,3,4,5,6,8,1,7,9] => [8,1]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [8,2,3,4,5,6,7,1,9] => [2,1,1,1,1,1,1,1]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [2,1,1,1,1,1,1,1]
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [2,3,4,5,1,6,7,8,9] => [5,2,3,4,1,6,7,8,9] => [2,1,1,1,1,1,1,1]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,2,3,4,5,6,1,8,9] => [2,1,1,1,1,1,1,1]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [4,2,3,1,5,6,7,8,9] => [3,4,2,1,5,6,7,8,9] => [4,1,1,1,1,1]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [9,2,3,4,5,6,7,8,1,10] => [2,1,1,1,1,1,1,1,1]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9] => [4,1,1,1,1,1]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [5,1,2,3,4,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => [5,1,1,1,1]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [6,1,2,3,4,5,7,8,9] => [6,1,2,3,4,5,7,8,9] => [6,1,1,1]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [7,1,2,3,4,5,6,8,9] => [7,1,1]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [8,1,2,3,4,5,6,7,9] => [8,1]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => [3,1,1,1,1,1,1,1]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => [4,1,1,1,1,1,1]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [5,1,2,3,4,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => [5,1,1,1,1,1]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => [6,1,1,1,1]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [7,1,2,3,4,5,6,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => [7,1,1,1]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [8,1,2,3,4,5,6,7,9,10] => [8,1,2,3,4,5,6,7,9,10] => [8,1,1]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [9,1,2,3,4,5,6,7,8,10] => [9,1]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [9,7,6,5,4,3,2,8,1] => [8,3,4,5,6,7,9,2,1] => [9]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [9,7,6,5,4,3,1,2,8] => [3,1,4,5,6,7,9,2,8] => [9]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [1,1,1,1,1,1,1,1,1,1,1]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,9,10,3] => [10]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,10,8] => [10]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] => [10,9,8,7,6,5,4,3,2,11,1] => [11,3,4,5,6,7,8,9,10,2,1] => [9,2]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,6] => [9]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,5] => [9]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,9,4] => [9]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [9,7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,9,6,8] => [9]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,10,7] => [10]
[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [9,8,6,1,2,3,4,5,7] => [6,1,2,3,4,8,5,9,7] => [9]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,10,6] => [10]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,10,5] => [10]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,9,10,4] => [10]
[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.] => [3,2,4,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => [2,2,1,1,1,1,1]
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [9,3,4,5,6,8,7,2,1] => [6,2,1]
[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]] => [8,9,7,6,5,4,3,2,10,1] => [10,3,4,5,6,7,9,8,2,1] => [7,2,1]
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [2,4,3,1,5,6,7,8,9] => [3,1,1,1,1,1,1]
[[[[[.,[.,[.,[.,.]]]],.],.],.],[.,.]] => [9,4,3,2,1,5,6,7,8] => [2,3,4,9,1,5,6,7,8] => [9]
[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.] => [8,7,1,2,3,4,5,6,9] => [7,1,2,3,4,5,8,6,9] => [8,1]
[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.] => [3,4,5,6,7,8,2,1,9] => [2,8,3,4,5,6,7,1,9] => [3,1,1,1,1,1,1]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [10,8,7,6,5,4,3,1,2,9] => [3,1,4,5,6,7,8,10,2,9] => [10]
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
Map
cycle type
Description
The cycle type of a permutation as a partition.
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