Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00073: Permutations —major-index to inversion-number bijection⟶ Permutations
Mp00071: Permutations —descent composition⟶ Integer compositions
Mp00073: Permutations —major-index to inversion-number bijection⟶ Permutations
Mp00071: Permutations —descent composition⟶ Integer compositions
Images
[.,.] => [1] => [1] => [1]
[.,[.,.]] => [2,1] => [2,1] => [1,1]
[[.,.],.] => [1,2] => [1,2] => [2]
[.,[.,[.,.]]] => [3,2,1] => [3,2,1] => [1,1,1]
[.,[[.,.],.]] => [2,3,1] => [3,1,2] => [1,2]
[[.,.],[.,.]] => [1,3,2] => [2,3,1] => [2,1]
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => [1,2]
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [3]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,3,2,1] => [1,1,1,1]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [4,3,1,2] => [1,1,2]
[.,[[.,.],[.,.]]] => [2,4,3,1] => [4,2,3,1] => [1,2,1]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,2,1,3] => [1,1,2]
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,1,2,3] => [1,3]
[[.,.],[.,[.,.]]] => [1,4,3,2] => [3,4,2,1] => [2,1,1]
[[.,.],[[.,.],.]] => [1,3,4,2] => [2,4,1,3] => [2,2]
[[.,[.,.]],[.,.]] => [2,1,4,3] => [3,2,4,1] => [1,2,1]
[[[.,.],.],[.,.]] => [1,2,4,3] => [2,3,4,1] => [3,1]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1,4] => [1,1,2]
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,1,2,4] => [1,3]
[[[.,.],[.,.]],.] => [1,3,2,4] => [2,3,1,4] => [2,2]
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => [1,3]
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [4]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,4,3,2,1] => [1,1,1,1,1]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [5,4,3,1,2] => [1,1,1,2]
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [5,4,2,3,1] => [1,1,2,1]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [5,4,2,1,3] => [1,1,1,2]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [5,4,1,2,3] => [1,1,3]
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [5,3,4,2,1] => [1,2,1,1]
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [5,2,4,1,3] => [1,2,2]
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [5,3,2,4,1] => [1,1,2,1]
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [5,2,3,4,1] => [1,3,1]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [5,3,2,1,4] => [1,1,1,2]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [5,3,1,2,4] => [1,1,3]
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [5,2,3,1,4] => [1,2,2]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [5,2,1,3,4] => [1,1,3]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [5,1,2,3,4] => [1,4]
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [4,5,3,2,1] => [2,1,1,1]
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [3,5,4,1,2] => [2,1,2]
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [3,5,2,4,1] => [2,2,1]
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [3,5,2,1,4] => [2,1,2]
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [2,5,1,3,4] => [2,3]
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [4,3,5,2,1] => [1,2,1,1]
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [3,2,5,1,4] => [1,2,2]
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [3,4,5,2,1] => [3,1,1]
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [2,3,5,1,4] => [3,2]
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [4,3,2,5,1] => [1,1,2,1]
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [4,2,3,5,1] => [1,3,1]
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [3,4,2,5,1] => [2,2,1]
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [3,2,4,5,1] => [1,3,1]
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [2,3,4,5,1] => [4,1]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,3,2,1,5] => [1,1,1,2]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [4,3,1,2,5] => [1,1,3]
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [4,2,3,1,5] => [1,2,2]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [4,2,1,3,5] => [1,1,3]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,1,2,3,5] => [1,4]
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [3,4,2,1,5] => [2,1,2]
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [2,4,1,3,5] => [2,3]
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [3,2,4,1,5] => [1,2,2]
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [2,3,4,1,5] => [3,2]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,2,1,4,5] => [1,1,3]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,1,2,4,5] => [1,4]
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [2,3,1,4,5] => [2,3]
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => [1,4]
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [5]
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => [1,1,1,1,1,1]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [6,5,4,3,1,2] => [1,1,1,1,2]
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [6,5,4,2,3,1] => [1,1,1,2,1]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [6,5,4,2,1,3] => [1,1,1,1,2]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => [1,1,1,3]
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [6,5,3,4,2,1] => [1,1,2,1,1]
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [6,5,2,4,1,3] => [1,1,2,2]
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [6,5,3,2,4,1] => [1,1,1,2,1]
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [6,5,2,3,4,1] => [1,1,3,1]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [6,5,3,2,1,4] => [1,1,1,1,2]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [6,5,3,1,2,4] => [1,1,1,3]
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [6,5,2,3,1,4] => [1,1,2,2]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [6,5,2,1,3,4] => [1,1,1,3]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => [1,1,4]
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [6,4,5,3,2,1] => [1,2,1,1,1]
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [6,3,5,4,1,2] => [1,2,1,2]
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [6,3,5,2,4,1] => [1,2,2,1]
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [6,3,5,2,1,4] => [1,2,1,2]
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [6,2,5,1,3,4] => [1,2,3]
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [6,4,3,5,2,1] => [1,1,2,1,1]
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [6,3,2,5,1,4] => [1,1,2,2]
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [6,3,4,5,2,1] => [1,3,1,1]
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [6,2,3,5,1,4] => [1,3,2]
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [6,4,3,2,5,1] => [1,1,1,2,1]
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [6,4,2,3,5,1] => [1,1,3,1]
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [6,3,4,2,5,1] => [1,2,2,1]
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [6,3,2,4,5,1] => [1,1,3,1]
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [6,2,3,4,5,1] => [1,4,1]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [6,4,3,2,1,5] => [1,1,1,1,2]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [6,4,3,1,2,5] => [1,1,1,3]
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [6,4,2,3,1,5] => [1,1,2,2]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [6,4,2,1,3,5] => [1,1,1,3]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => [1,1,4]
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [6,3,4,2,1,5] => [1,2,1,2]
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [6,2,4,1,3,5] => [1,2,3]
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [6,3,2,4,1,5] => [1,1,2,2]
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [6,2,3,4,1,5] => [1,3,2]
>>> Load all 1814 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [6,3,2,1,4,5] => [1,1,1,3]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [6,3,1,2,4,5] => [1,1,4]
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [6,2,3,1,4,5] => [1,2,3]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [6,2,1,3,4,5] => [1,1,4]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [6,1,2,3,4,5] => [1,5]
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [5,6,4,3,2,1] => [2,1,1,1,1]
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [4,6,5,3,1,2] => [2,1,1,2]
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [4,6,5,2,3,1] => [2,1,2,1]
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [4,6,5,2,1,3] => [2,1,1,2]
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [3,6,5,1,2,4] => [2,1,3]
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [4,6,3,5,2,1] => [2,2,1,1]
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [3,6,2,5,1,4] => [2,2,2]
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [4,6,3,2,5,1] => [2,1,2,1]
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [3,6,2,4,5,1] => [2,3,1]
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [4,6,3,2,1,5] => [2,1,1,2]
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [3,6,4,1,2,5] => [2,1,3]
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [3,6,2,4,1,5] => [2,2,2]
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [3,6,2,1,4,5] => [2,1,3]
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [2,6,1,3,4,5] => [2,4]
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [5,4,6,3,2,1] => [1,2,1,1,1]
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [4,3,6,5,1,2] => [1,2,1,2]
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [4,3,6,2,5,1] => [1,2,2,1]
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [4,3,6,2,1,5] => [1,2,1,2]
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [3,2,6,1,4,5] => [1,2,3]
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [4,5,6,3,2,1] => [3,1,1,1]
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [3,4,6,5,1,2] => [3,1,2]
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [3,4,6,2,5,1] => [3,2,1]
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [3,4,6,2,1,5] => [3,1,2]
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [2,3,6,1,4,5] => [3,3]
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [5,4,3,6,2,1] => [1,1,2,1,1]
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [4,3,2,6,1,5] => [1,1,2,2]
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [5,3,4,6,2,1] => [1,3,1,1]
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [4,2,3,6,1,5] => [1,3,2]
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [4,5,3,6,2,1] => [2,2,1,1]
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [3,4,2,6,1,5] => [2,2,2]
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [4,3,5,6,2,1] => [1,3,1,1]
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [3,2,4,6,1,5] => [1,3,2]
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [3,4,5,6,2,1] => [4,1,1]
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [4,2]
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [5,4,3,2,6,1] => [1,1,1,2,1]
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [5,4,2,3,6,1] => [1,1,3,1]
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [5,3,4,2,6,1] => [1,2,2,1]
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [5,3,2,4,6,1] => [1,1,3,1]
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [5,2,3,4,6,1] => [1,4,1]
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [4,5,3,2,6,1] => [2,1,2,1]
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [3,5,2,4,6,1] => [2,3,1]
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [4,3,5,2,6,1] => [1,2,2,1]
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [3,4,5,2,6,1] => [3,2,1]
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [4,3,2,5,6,1] => [1,1,3,1]
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [4,2,3,5,6,1] => [1,4,1]
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [3,4,2,5,6,1] => [2,3,1]
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [3,2,4,5,6,1] => [1,4,1]
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [5,1]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => [1,1,1,1,2]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [5,4,3,1,2,6] => [1,1,1,3]
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [5,4,2,3,1,6] => [1,1,2,2]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [5,4,2,1,3,6] => [1,1,1,3]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [5,4,1,2,3,6] => [1,1,4]
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [5,3,4,2,1,6] => [1,2,1,2]
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [5,2,4,1,3,6] => [1,2,3]
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [5,3,2,4,1,6] => [1,1,2,2]
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [5,2,3,4,1,6] => [1,3,2]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [5,3,2,1,4,6] => [1,1,1,3]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [5,3,1,2,4,6] => [1,1,4]
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [5,2,3,1,4,6] => [1,2,3]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [5,2,1,3,4,6] => [1,1,4]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,1,2,3,4,6] => [1,5]
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [4,5,3,2,1,6] => [2,1,1,2]
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [3,5,4,1,2,6] => [2,1,3]
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [3,5,2,4,1,6] => [2,2,2]
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [3,5,2,1,4,6] => [2,1,3]
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [2,5,1,3,4,6] => [2,4]
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [4,3,5,2,1,6] => [1,2,1,2]
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [3,2,5,1,4,6] => [1,2,3]
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [3,4,5,2,1,6] => [3,1,2]
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [2,3,5,1,4,6] => [3,3]
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [4,3,2,5,1,6] => [1,1,2,2]
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [4,2,3,5,1,6] => [1,3,2]
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [3,4,2,5,1,6] => [2,2,2]
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [3,2,4,5,1,6] => [1,3,2]
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [4,2]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => [1,1,1,3]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [4,3,1,2,5,6] => [1,1,4]
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [4,2,3,1,5,6] => [1,2,3]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,2,1,3,5,6] => [1,1,4]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [4,1,2,3,5,6] => [1,5]
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [3,4,2,1,5,6] => [2,1,3]
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [2,4,1,3,5,6] => [2,4]
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [3,2,4,1,5,6] => [1,2,3]
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [3,3]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [1,1,4]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,1,2,4,5,6] => [1,5]
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [2,4]
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [1,5]
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => [1,1,1,1,1,2]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [7,6,5,4,2,3,1] => [1,1,1,1,2,1]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [7,6,5,4,2,1,3] => [1,1,1,1,1,2]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => [1,1,1,1,3]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [7,6,5,3,4,2,1] => [1,1,1,2,1,1]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [7,6,5,2,4,1,3] => [1,1,1,2,2]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [7,6,5,3,2,4,1] => [1,1,1,1,2,1]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [7,6,5,2,3,4,1] => [1,1,1,3,1]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [7,6,5,3,2,1,4] => [1,1,1,1,1,2]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [7,6,5,3,1,2,4] => [1,1,1,1,3]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [7,6,5,2,3,1,4] => [1,1,1,2,2]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [7,6,5,2,1,3,4] => [1,1,1,1,3]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => [1,1,1,4]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [7,6,4,5,3,2,1] => [1,1,2,1,1,1]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [7,6,3,5,4,1,2] => [1,1,2,1,2]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [7,6,3,5,2,4,1] => [1,1,2,2,1]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [7,6,3,5,2,1,4] => [1,1,2,1,2]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [7,6,2,5,1,3,4] => [1,1,2,3]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [7,6,4,3,5,2,1] => [1,1,1,2,1,1]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [7,6,3,2,5,1,4] => [1,1,1,2,2]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [7,6,3,4,5,2,1] => [1,1,3,1,1]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [7,6,2,3,5,1,4] => [1,1,3,2]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [7,6,4,3,2,5,1] => [1,1,1,1,2,1]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [7,6,4,2,3,5,1] => [1,1,1,3,1]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [7,6,3,4,2,5,1] => [1,1,2,2,1]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [7,6,3,2,4,5,1] => [1,1,1,3,1]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [7,6,2,3,4,5,1] => [1,1,4,1]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [7,6,4,3,2,1,5] => [1,1,1,1,1,2]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [7,6,4,3,1,2,5] => [1,1,1,1,3]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [7,6,4,2,3,1,5] => [1,1,1,2,2]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [7,6,4,2,1,3,5] => [1,1,1,1,3]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [7,6,4,1,2,3,5] => [1,1,1,4]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [7,6,3,4,2,1,5] => [1,1,2,1,2]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [7,6,2,4,1,3,5] => [1,1,2,3]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [7,6,3,2,4,1,5] => [1,1,1,2,2]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [7,6,2,3,4,1,5] => [1,1,3,2]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [7,6,3,2,1,4,5] => [1,1,1,1,3]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [7,6,3,1,2,4,5] => [1,1,1,4]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [7,6,2,3,1,4,5] => [1,1,2,3]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [7,6,2,1,3,4,5] => [1,1,1,4]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => [1,1,5]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [7,5,6,4,3,2,1] => [1,2,1,1,1,1]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [7,4,6,5,3,1,2] => [1,2,1,1,2]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [7,4,6,5,2,3,1] => [1,2,1,2,1]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [7,4,6,5,2,1,3] => [1,2,1,1,2]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [7,3,6,5,1,2,4] => [1,2,1,3]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [7,4,6,3,5,2,1] => [1,2,2,1,1]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [7,3,6,2,5,1,4] => [1,2,2,2]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [7,4,6,3,2,5,1] => [1,2,1,2,1]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [7,3,6,2,4,5,1] => [1,2,3,1]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [7,4,6,3,2,1,5] => [1,2,1,1,2]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [7,3,6,4,1,2,5] => [1,2,1,3]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [7,3,6,2,4,1,5] => [1,2,2,2]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [7,3,6,2,1,4,5] => [1,2,1,3]
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [7,2,6,1,3,4,5] => [1,2,4]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [7,5,4,6,3,2,1] => [1,1,2,1,1,1]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [7,4,3,6,5,1,2] => [1,1,2,1,2]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [7,4,3,6,2,5,1] => [1,1,2,2,1]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [7,4,3,6,2,1,5] => [1,1,2,1,2]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [7,3,2,6,1,4,5] => [1,1,2,3]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [7,4,5,6,3,2,1] => [1,3,1,1,1]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [7,3,4,6,5,1,2] => [1,3,1,2]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [7,3,4,6,2,5,1] => [1,3,2,1]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [7,3,4,6,2,1,5] => [1,3,1,2]
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [7,2,3,6,1,4,5] => [1,3,3]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [7,5,4,3,6,2,1] => [1,1,1,2,1,1]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [7,4,3,2,6,1,5] => [1,1,1,2,2]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [7,5,3,4,6,2,1] => [1,1,3,1,1]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [7,4,2,3,6,1,5] => [1,1,3,2]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [7,4,5,3,6,2,1] => [1,2,2,1,1]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [7,3,4,2,6,1,5] => [1,2,2,2]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [7,4,3,5,6,2,1] => [1,1,3,1,1]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [7,3,2,4,6,1,5] => [1,1,3,2]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [7,3,4,5,6,2,1] => [1,4,1,1]
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [7,2,3,4,6,1,5] => [1,4,2]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [7,5,4,3,2,6,1] => [1,1,1,1,2,1]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [7,5,4,2,3,6,1] => [1,1,1,3,1]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [7,5,3,4,2,6,1] => [1,1,2,2,1]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [7,5,3,2,4,6,1] => [1,1,1,3,1]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [7,5,2,3,4,6,1] => [1,1,4,1]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [7,4,5,3,2,6,1] => [1,2,1,2,1]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [7,3,5,2,4,6,1] => [1,2,3,1]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [7,4,3,5,2,6,1] => [1,1,2,2,1]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [7,3,4,5,2,6,1] => [1,3,2,1]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [7,4,3,2,5,6,1] => [1,1,1,3,1]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [7,4,2,3,5,6,1] => [1,1,4,1]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [7,3,4,2,5,6,1] => [1,2,3,1]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [7,3,2,4,5,6,1] => [1,1,4,1]
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [7,2,3,4,5,6,1] => [1,5,1]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [7,5,4,3,2,1,6] => [1,1,1,1,1,2]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [7,5,4,3,1,2,6] => [1,1,1,1,3]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [7,5,4,2,3,1,6] => [1,1,1,2,2]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [7,5,4,2,1,3,6] => [1,1,1,1,3]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [7,5,4,1,2,3,6] => [1,1,1,4]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [7,5,3,4,2,1,6] => [1,1,2,1,2]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [7,5,2,4,1,3,6] => [1,1,2,3]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [7,5,3,2,4,1,6] => [1,1,1,2,2]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [7,5,2,3,4,1,6] => [1,1,3,2]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [7,5,3,2,1,4,6] => [1,1,1,1,3]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [7,5,3,1,2,4,6] => [1,1,1,4]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [7,5,2,3,1,4,6] => [1,1,2,3]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [7,5,2,1,3,4,6] => [1,1,1,4]
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => [1,1,5]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [7,4,5,3,2,1,6] => [1,2,1,1,2]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [7,3,5,4,1,2,6] => [1,2,1,3]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [7,3,5,2,4,1,6] => [1,2,2,2]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [7,3,5,2,1,4,6] => [1,2,1,3]
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [7,2,5,1,3,4,6] => [1,2,4]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [7,4,3,5,2,1,6] => [1,1,2,1,2]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [7,3,2,5,1,4,6] => [1,1,2,3]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [7,3,4,5,2,1,6] => [1,3,1,2]
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [7,2,3,5,1,4,6] => [1,3,3]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [7,4,3,2,5,1,6] => [1,1,1,2,2]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [7,4,2,3,5,1,6] => [1,1,3,2]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [7,3,4,2,5,1,6] => [1,2,2,2]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [7,3,2,4,5,1,6] => [1,1,3,2]
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [7,2,3,4,5,1,6] => [1,4,2]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [7,4,3,2,1,5,6] => [1,1,1,1,3]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [7,4,3,1,2,5,6] => [1,1,1,4]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [7,4,2,3,1,5,6] => [1,1,2,3]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [7,4,2,1,3,5,6] => [1,1,1,4]
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => [1,1,5]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [7,3,4,2,1,5,6] => [1,2,1,3]
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [7,2,4,1,3,5,6] => [1,2,4]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [7,3,2,4,1,5,6] => [1,1,2,3]
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [7,2,3,4,1,5,6] => [1,3,3]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [7,3,2,1,4,5,6] => [1,1,1,4]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [7,3,1,2,4,5,6] => [1,1,5]
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [7,2,3,1,4,5,6] => [1,2,4]
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [7,2,1,3,4,5,6] => [1,1,5]
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [7,1,2,3,4,5,6] => [1,6]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [6,7,5,4,3,2,1] => [2,1,1,1,1,1]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [5,7,6,4,3,1,2] => [2,1,1,1,2]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,7,6,4,2,3,1] => [2,1,1,2,1]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [5,7,6,4,2,1,3] => [2,1,1,1,2]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [4,7,6,5,1,2,3] => [2,1,1,3]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,7,6,3,4,2,1] => [2,1,2,1,1]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,7,6,2,5,1,3] => [2,1,2,2]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [5,7,6,3,2,4,1] => [2,1,1,2,1]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,7,6,2,3,5,1] => [2,1,3,1]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [5,7,6,3,2,1,4] => [2,1,1,1,2]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [4,7,6,3,1,2,5] => [2,1,1,3]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,7,6,2,3,1,5] => [2,1,2,2]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [4,7,6,2,1,3,5] => [2,1,1,3]
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [3,7,6,1,2,4,5] => [2,1,4]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,7,4,6,3,2,1] => [2,2,1,1,1]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,7,3,6,5,1,2] => [2,2,1,2]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,7,3,6,2,5,1] => [2,2,2,1]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,7,3,6,2,1,5] => [2,2,1,2]
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,7,2,6,1,4,5] => [2,2,3]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [5,7,4,3,6,2,1] => [2,1,2,1,1]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [4,7,3,2,6,1,5] => [2,1,2,2]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,7,3,5,6,2,1] => [2,3,1,1]
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,7,2,4,6,1,5] => [2,3,2]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [5,7,4,3,2,6,1] => [2,1,1,2,1]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [4,7,5,2,3,6,1] => [2,1,3,1]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [4,7,3,5,2,6,1] => [2,2,2,1]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [4,7,3,2,5,6,1] => [2,1,3,1]
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,7,2,4,5,6,1] => [2,4,1]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [5,7,4,3,2,1,6] => [2,1,1,1,2]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [4,7,5,3,1,2,6] => [2,1,1,3]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,7,5,2,3,1,6] => [2,1,2,2]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [4,7,5,2,1,3,6] => [2,1,1,3]
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [3,7,5,1,2,4,6] => [2,1,4]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,7,3,5,2,1,6] => [2,2,1,2]
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,7,2,5,1,4,6] => [2,2,3]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [4,7,3,2,5,1,6] => [2,1,2,2]
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,7,2,4,5,1,6] => [2,3,2]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [4,7,3,2,1,5,6] => [2,1,1,3]
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [3,7,4,1,2,5,6] => [2,1,4]
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,7,2,4,1,5,6] => [2,2,3]
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [3,7,2,1,4,5,6] => [2,1,4]
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [2,7,1,3,4,5,6] => [2,5]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [6,5,7,4,3,2,1] => [1,2,1,1,1,1]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [5,4,7,6,3,1,2] => [1,2,1,1,2]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [5,4,7,6,2,3,1] => [1,2,1,2,1]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [5,4,7,6,2,1,3] => [1,2,1,1,2]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [4,3,7,6,1,2,5] => [1,2,1,3]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [5,4,7,3,6,2,1] => [1,2,2,1,1]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [4,3,7,2,6,1,5] => [1,2,2,2]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [5,4,7,3,2,6,1] => [1,2,1,2,1]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [4,3,7,2,5,6,1] => [1,2,3,1]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [5,4,7,3,2,1,6] => [1,2,1,1,2]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [4,3,7,5,1,2,6] => [1,2,1,3]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [4,3,7,2,5,1,6] => [1,2,2,2]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [4,3,7,2,1,5,6] => [1,2,1,3]
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [3,2,7,1,4,5,6] => [1,2,4]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,6,7,4,3,2,1] => [3,1,1,1,1]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,5,7,6,3,1,2] => [3,1,1,2]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,5,7,6,2,3,1] => [3,1,2,1]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,5,7,6,2,1,3] => [3,1,1,2]
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,4,7,6,1,2,5] => [3,1,3]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,5,7,3,6,2,1] => [3,2,1,1]
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,4,7,2,6,1,5] => [3,2,2]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [4,5,7,3,2,6,1] => [3,1,2,1]
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,4,7,2,5,6,1] => [3,3,1]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,5,7,3,2,1,6] => [3,1,1,2]
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,4,7,5,1,2,6] => [3,1,3]
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,4,7,2,5,1,6] => [3,2,2]
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,4,7,2,1,5,6] => [3,1,3]
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,3,7,1,4,5,6] => [3,4]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [6,5,4,7,3,2,1] => [1,1,2,1,1,1]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [5,4,3,7,6,1,2] => [1,1,2,1,2]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [5,4,3,7,2,6,1] => [1,1,2,2,1]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [5,4,3,7,2,1,6] => [1,1,2,1,2]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [4,3,2,7,1,5,6] => [1,1,2,3]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [6,4,5,7,3,2,1] => [1,3,1,1,1]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [5,3,4,7,6,1,2] => [1,3,1,2]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [5,3,4,7,2,6,1] => [1,3,2,1]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [5,3,4,7,2,1,6] => [1,3,1,2]
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [4,2,3,7,1,5,6] => [1,3,3]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [5,6,4,7,3,2,1] => [2,2,1,1,1]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [4,5,3,7,6,1,2] => [2,2,1,2]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [4,5,3,7,2,6,1] => [2,2,2,1]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [4,5,3,7,2,1,6] => [2,2,1,2]
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [3,4,2,7,1,5,6] => [2,2,3]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [5,4,6,7,3,2,1] => [1,3,1,1,1]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [4,3,5,7,6,1,2] => [1,3,1,2]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [4,3,5,7,2,6,1] => [1,3,2,1]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [4,3,5,7,2,1,6] => [1,3,1,2]
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [3,2,4,7,1,5,6] => [1,3,3]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,5,6,7,3,2,1] => [4,1,1,1]
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,4,5,7,6,1,2] => [4,1,2]
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,4,5,7,2,6,1] => [4,2,1]
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,4,5,7,2,1,6] => [4,1,2]
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,3,4,7,1,5,6] => [4,3]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [6,5,4,3,7,2,1] => [1,1,1,2,1,1]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [5,4,3,2,7,1,6] => [1,1,1,2,2]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [6,5,3,4,7,2,1] => [1,1,3,1,1]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [5,4,2,3,7,1,6] => [1,1,3,2]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [6,4,5,3,7,2,1] => [1,2,2,1,1]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [5,3,4,2,7,1,6] => [1,2,2,2]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [6,4,3,5,7,2,1] => [1,1,3,1,1]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [5,3,2,4,7,1,6] => [1,1,3,2]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [6,3,4,5,7,2,1] => [1,4,1,1]
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [5,2,3,4,7,1,6] => [1,4,2]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [5,6,4,3,7,2,1] => [2,1,2,1,1]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [4,5,3,2,7,1,6] => [2,1,2,2]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [4,6,3,5,7,2,1] => [2,3,1,1]
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [3,5,2,4,7,1,6] => [2,3,2]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [5,4,6,3,7,2,1] => [1,2,2,1,1]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [4,3,5,2,7,1,6] => [1,2,2,2]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [4,5,6,3,7,2,1] => [3,2,1,1]
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [3,4,5,2,7,1,6] => [3,2,2]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [5,4,3,6,7,2,1] => [1,1,3,1,1]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [4,3,2,5,7,1,6] => [1,1,3,2]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [5,3,4,6,7,2,1] => [1,4,1,1]
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [4,2,3,5,7,1,6] => [1,4,2]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [4,5,3,6,7,2,1] => [2,3,1,1]
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [3,4,2,5,7,1,6] => [2,3,2]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [4,3,5,6,7,2,1] => [1,4,1,1]
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [3,2,4,5,7,1,6] => [1,4,2]
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,4,5,6,7,2,1] => [5,1,1]
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [5,2]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [6,5,4,3,2,7,1] => [1,1,1,1,2,1]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [6,5,4,2,3,7,1] => [1,1,1,3,1]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [6,5,3,4,2,7,1] => [1,1,2,2,1]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [6,5,3,2,4,7,1] => [1,1,1,3,1]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [6,5,2,3,4,7,1] => [1,1,4,1]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [6,4,5,3,2,7,1] => [1,2,1,2,1]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [6,3,5,2,4,7,1] => [1,2,3,1]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [6,4,3,5,2,7,1] => [1,1,2,2,1]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [6,3,4,5,2,7,1] => [1,3,2,1]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [6,4,3,2,5,7,1] => [1,1,1,3,1]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [6,4,2,3,5,7,1] => [1,1,4,1]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [6,3,4,2,5,7,1] => [1,2,3,1]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [6,3,2,4,5,7,1] => [1,1,4,1]
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [6,2,3,4,5,7,1] => [1,5,1]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [5,6,4,3,2,7,1] => [2,1,1,2,1]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [4,6,5,2,3,7,1] => [2,1,3,1]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [4,6,3,5,2,7,1] => [2,2,2,1]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [4,6,3,2,5,7,1] => [2,1,3,1]
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [3,6,2,4,5,7,1] => [2,4,1]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [5,4,6,3,2,7,1] => [1,2,1,2,1]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [4,3,6,2,5,7,1] => [1,2,3,1]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [4,5,6,3,2,7,1] => [3,1,2,1]
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [3,4,6,2,5,7,1] => [3,3,1]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [5,4,3,6,2,7,1] => [1,1,2,2,1]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [5,3,4,6,2,7,1] => [1,3,2,1]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [4,5,3,6,2,7,1] => [2,2,2,1]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [4,3,5,6,2,7,1] => [1,3,2,1]
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [4,2,1]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [5,4,3,2,6,7,1] => [1,1,1,3,1]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [5,4,2,3,6,7,1] => [1,1,4,1]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [5,3,4,2,6,7,1] => [1,2,3,1]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [5,3,2,4,6,7,1] => [1,1,4,1]
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [5,2,3,4,6,7,1] => [1,5,1]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [4,5,3,2,6,7,1] => [2,1,3,1]
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [3,5,2,4,6,7,1] => [2,4,1]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [4,3,5,2,6,7,1] => [1,2,3,1]
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [3,3,1]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [4,3,2,5,6,7,1] => [1,1,4,1]
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [4,2,3,5,6,7,1] => [1,5,1]
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [2,4,1]
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [3,2,4,5,6,7,1] => [1,5,1]
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [6,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => [1,1,1,1,1,2]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [6,5,4,3,1,2,7] => [1,1,1,1,3]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [6,5,4,2,3,1,7] => [1,1,1,2,2]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [6,5,4,2,1,3,7] => [1,1,1,1,3]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [6,5,4,1,2,3,7] => [1,1,1,4]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [6,5,3,4,2,1,7] => [1,1,2,1,2]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [6,5,2,4,1,3,7] => [1,1,2,3]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [6,5,3,2,4,1,7] => [1,1,1,2,2]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [6,5,2,3,4,1,7] => [1,1,3,2]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [6,5,3,2,1,4,7] => [1,1,1,1,3]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [6,5,3,1,2,4,7] => [1,1,1,4]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [6,5,2,3,1,4,7] => [1,1,2,3]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [6,5,2,1,3,4,7] => [1,1,1,4]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [6,5,1,2,3,4,7] => [1,1,5]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [6,4,5,3,2,1,7] => [1,2,1,1,2]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [6,3,5,4,1,2,7] => [1,2,1,3]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [6,3,5,2,4,1,7] => [1,2,2,2]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [6,3,5,2,1,4,7] => [1,2,1,3]
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [6,2,5,1,3,4,7] => [1,2,4]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [6,4,3,5,2,1,7] => [1,1,2,1,2]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [6,3,2,5,1,4,7] => [1,1,2,3]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [6,3,4,5,2,1,7] => [1,3,1,2]
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [6,2,3,5,1,4,7] => [1,3,3]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [6,4,3,2,5,1,7] => [1,1,1,2,2]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [6,4,2,3,5,1,7] => [1,1,3,2]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [6,3,4,2,5,1,7] => [1,2,2,2]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [6,3,2,4,5,1,7] => [1,1,3,2]
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [6,2,3,4,5,1,7] => [1,4,2]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [6,4,3,2,1,5,7] => [1,1,1,1,3]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [6,4,3,1,2,5,7] => [1,1,1,4]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [6,4,2,3,1,5,7] => [1,1,2,3]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [6,4,2,1,3,5,7] => [1,1,1,4]
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [6,4,1,2,3,5,7] => [1,1,5]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [6,3,4,2,1,5,7] => [1,2,1,3]
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [6,2,4,1,3,5,7] => [1,2,4]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [6,3,2,4,1,5,7] => [1,1,2,3]
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [6,2,3,4,1,5,7] => [1,3,3]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [6,3,2,1,4,5,7] => [1,1,1,4]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [6,3,1,2,4,5,7] => [1,1,5]
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [6,2,3,1,4,5,7] => [1,2,4]
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [6,2,1,3,4,5,7] => [1,1,5]
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [6,1,2,3,4,5,7] => [1,6]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [5,6,4,3,2,1,7] => [2,1,1,1,2]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [4,6,5,3,1,2,7] => [2,1,1,3]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [4,6,5,2,3,1,7] => [2,1,2,2]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [4,6,5,2,1,3,7] => [2,1,1,3]
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [3,6,5,1,2,4,7] => [2,1,4]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,6,3,5,2,1,7] => [2,2,1,2]
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,6,2,5,1,4,7] => [2,2,3]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [4,6,3,2,5,1,7] => [2,1,2,2]
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,6,2,4,5,1,7] => [2,3,2]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [4,6,3,2,1,5,7] => [2,1,1,3]
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [3,6,4,1,2,5,7] => [2,1,4]
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [3,6,2,4,1,5,7] => [2,2,3]
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [3,6,2,1,4,5,7] => [2,1,4]
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [2,6,1,3,4,5,7] => [2,5]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [5,4,6,3,2,1,7] => [1,2,1,1,2]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [4,3,6,5,1,2,7] => [1,2,1,3]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [4,3,6,2,5,1,7] => [1,2,2,2]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [4,3,6,2,1,5,7] => [1,2,1,3]
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [3,2,6,1,4,5,7] => [1,2,4]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [4,5,6,3,2,1,7] => [3,1,1,2]
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [3,4,6,5,1,2,7] => [3,1,3]
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,4,6,2,5,1,7] => [3,2,2]
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,4,6,2,1,5,7] => [3,1,3]
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [2,3,6,1,4,5,7] => [3,4]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [5,4,3,6,2,1,7] => [1,1,2,1,2]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [4,3,2,6,1,5,7] => [1,1,2,3]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [5,3,4,6,2,1,7] => [1,3,1,2]
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [4,2,3,6,1,5,7] => [1,3,3]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [4,5,3,6,2,1,7] => [2,2,1,2]
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [3,4,2,6,1,5,7] => [2,2,3]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [4,3,5,6,2,1,7] => [1,3,1,2]
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [3,2,4,6,1,5,7] => [1,3,3]
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [3,4,5,6,2,1,7] => [4,1,2]
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [4,3]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [5,4,3,2,6,1,7] => [1,1,1,2,2]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [5,4,2,3,6,1,7] => [1,1,3,2]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [5,3,4,2,6,1,7] => [1,2,2,2]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [5,3,2,4,6,1,7] => [1,1,3,2]
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [5,2,3,4,6,1,7] => [1,4,2]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [4,5,3,2,6,1,7] => [2,1,2,2]
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [3,5,2,4,6,1,7] => [2,3,2]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [4,3,5,2,6,1,7] => [1,2,2,2]
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [3,2,2]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [4,3,2,5,6,1,7] => [1,1,3,2]
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [4,2,3,5,6,1,7] => [1,4,2]
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [2,3,2]
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [3,2,4,5,6,1,7] => [1,4,2]
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [5,2]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => [1,1,1,1,3]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [5,4,3,1,2,6,7] => [1,1,1,4]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [5,4,2,3,1,6,7] => [1,1,2,3]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [5,4,2,1,3,6,7] => [1,1,1,4]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [5,4,1,2,3,6,7] => [1,1,5]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [5,3,4,2,1,6,7] => [1,2,1,3]
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [5,2,4,1,3,6,7] => [1,2,4]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [5,3,2,4,1,6,7] => [1,1,2,3]
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [5,2,3,4,1,6,7] => [1,3,3]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [5,3,2,1,4,6,7] => [1,1,1,4]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,3,1,2,4,6,7] => [1,1,5]
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [5,2,3,1,4,6,7] => [1,2,4]
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [5,2,1,3,4,6,7] => [1,1,5]
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [5,1,2,3,4,6,7] => [1,6]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [4,5,3,2,1,6,7] => [2,1,1,3]
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [3,5,4,1,2,6,7] => [2,1,4]
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [3,5,2,4,1,6,7] => [2,2,3]
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [3,5,2,1,4,6,7] => [2,1,4]
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [2,5,1,3,4,6,7] => [2,5]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [4,3,5,2,1,6,7] => [1,2,1,3]
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [3,2,5,1,4,6,7] => [1,2,4]
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [3,4,5,2,1,6,7] => [3,1,3]
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [3,4]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [4,3,2,5,1,6,7] => [1,1,2,3]
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [4,2,3,5,1,6,7] => [1,3,3]
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [2,2,3]
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [3,2,4,5,1,6,7] => [1,3,3]
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [4,3]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => [1,1,1,4]
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [4,3,1,2,5,6,7] => [1,1,5]
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [4,2,3,1,5,6,7] => [1,2,4]
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [4,2,1,3,5,6,7] => [1,1,5]
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [4,1,2,3,5,6,7] => [1,6]
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [3,4,2,1,5,6,7] => [2,1,4]
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [2,5]
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [3,2,4,1,5,6,7] => [1,2,4]
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [3,4]
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => [1,1,5]
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,1,2,4,5,6,7] => [1,6]
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [2,5]
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [1,6]
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,2]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,2,1]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [8,7,6,5,4,2,1,3] => [1,1,1,1,1,1,2]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,3]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [8,7,6,5,3,4,2,1] => [1,1,1,1,2,1,1]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [8,7,6,5,2,4,1,3] => [1,1,1,1,2,2]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [8,7,6,5,3,2,4,1] => [1,1,1,1,1,2,1]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [8,7,6,5,2,3,4,1] => [1,1,1,1,3,1]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,2]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [8,7,6,5,3,1,2,4] => [1,1,1,1,1,3]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [8,7,6,5,2,3,1,4] => [1,1,1,1,2,2]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [8,7,6,5,2,1,3,4] => [1,1,1,1,1,3]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [8,7,6,5,1,2,3,4] => [1,1,1,1,4]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [8,7,6,4,5,3,2,1] => [1,1,1,2,1,1,1]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [8,7,6,3,5,4,1,2] => [1,1,1,2,1,2]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [8,7,6,3,5,2,4,1] => [1,1,1,2,2,1]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => [8,7,6,3,5,2,1,4] => [1,1,1,2,1,2]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [4,6,7,8,5,3,2,1] => [8,7,6,2,5,1,3,4] => [1,1,1,2,3]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [5,4,7,8,6,3,2,1] => [8,7,6,3,2,5,1,4] => [1,1,1,1,2,2]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [8,7,6,3,4,5,2,1] => [1,1,1,3,1,1]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [4,5,7,8,6,3,2,1] => [8,7,6,2,3,5,1,4] => [1,1,1,3,2]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [6,5,4,8,7,3,2,1] => [8,7,6,4,3,2,5,1] => [1,1,1,1,1,2,1]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [5,6,4,8,7,3,2,1] => [8,7,6,4,2,3,5,1] => [1,1,1,1,3,1]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [8,7,6,3,4,2,5,1] => [1,1,1,2,2,1]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [8,7,6,2,3,4,5,1] => [1,1,1,4,1]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,2]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [8,7,6,4,3,1,2,5] => [1,1,1,1,1,3]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => [8,7,6,4,2,3,1,5] => [1,1,1,1,2,2]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [8,7,6,4,2,1,3,5] => [1,1,1,1,1,3]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [8,7,6,4,1,2,3,5] => [1,1,1,1,4]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [8,7,6,3,4,2,1,5] => [1,1,1,2,1,2]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [8,7,6,2,4,1,3,5] => [1,1,1,2,3]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [8,7,6,3,2,4,1,5] => [1,1,1,1,2,2]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [8,7,6,2,3,4,1,5] => [1,1,1,3,2]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [8,7,6,3,2,1,4,5] => [1,1,1,1,1,3]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [8,7,6,3,1,2,4,5] => [1,1,1,1,4]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => [8,7,6,2,3,1,4,5] => [1,1,1,2,3]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [8,7,6,2,1,3,4,5] => [1,1,1,1,4]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [8,7,6,1,2,3,4,5] => [1,1,1,5]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [8,7,5,6,4,3,2,1] => [1,1,2,1,1,1,1]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [8,7,4,6,5,3,1,2] => [1,1,2,1,1,2]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [8,7,4,6,5,2,3,1] => [1,1,2,1,2,1]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [8,7,4,6,5,2,1,3] => [1,1,2,1,1,2]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [8,7,4,6,3,5,2,1] => [1,1,2,2,1,1]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [8,7,3,6,2,5,1,4] => [1,1,2,2,2]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [8,7,3,6,2,4,5,1] => [1,1,2,3,1]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [8,7,4,6,3,2,1,5] => [1,1,2,1,1,2]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [3,6,7,5,8,4,2,1] => [8,7,3,6,4,1,2,5] => [1,1,2,1,3]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [8,7,3,6,2,4,1,5] => [1,1,2,2,2]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [8,7,2,6,1,3,4,5] => [1,1,2,4]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [8,7,5,4,6,3,2,1] => [1,1,1,2,1,1,1]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [4,3,7,8,6,5,2,1] => [8,7,4,3,6,5,1,2] => [1,1,1,2,1,2]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [8,7,3,2,6,1,4,5] => [1,1,1,2,3]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [8,7,4,5,6,3,2,1] => [1,1,3,1,1,1]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [8,7,2,3,6,1,4,5] => [1,1,3,3]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [8,7,5,4,3,6,2,1] => [1,1,1,1,2,1,1]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [8,7,4,3,2,6,1,5] => [1,1,1,1,2,2]
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [4,5,3,7,8,6,2,1] => [8,7,4,2,3,6,1,5] => [1,1,1,3,2]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [8,7,3,4,2,6,1,5] => [1,1,2,2,2]
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [4,3,5,7,8,6,2,1] => [8,7,3,2,4,6,1,5] => [1,1,1,3,2]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [8,7,3,4,5,6,2,1] => [1,1,4,1,1]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [8,7,2,3,4,6,1,5] => [1,1,4,2]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [8,7,5,4,3,2,6,1] => [1,1,1,1,1,2,1]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => [8,7,5,4,2,3,6,1] => [1,1,1,1,3,1]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [8,7,4,3,5,2,6,1] => [1,1,1,2,2,1]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [8,7,4,3,2,5,6,1] => [1,1,1,1,3,1]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [8,7,2,3,4,5,6,1] => [1,1,5,1]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [8,7,5,4,3,2,1,6] => [1,1,1,1,1,1,2]
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [8,7,5,4,3,1,2,6] => [1,1,1,1,1,3]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [8,7,5,4,2,3,1,6] => [1,1,1,1,2,2]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [8,7,5,4,2,1,3,6] => [1,1,1,1,1,3]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [8,7,5,4,1,2,3,6] => [1,1,1,1,4]
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [4,7,6,5,3,8,2,1] => [8,7,5,3,4,2,1,6] => [1,1,1,2,1,2]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => [8,7,5,3,2,4,1,6] => [1,1,1,1,2,2]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [8,7,5,3,2,1,4,6] => [1,1,1,1,1,3]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [8,7,5,2,1,3,4,6] => [1,1,1,1,4]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [8,7,5,1,2,3,4,6] => [1,1,1,5]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [8,7,4,5,3,2,1,6] => [1,1,2,1,1,2]
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [8,7,3,5,2,4,1,6] => [1,1,2,2,2]
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [8,7,2,5,1,3,4,6] => [1,1,2,4]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [8,7,3,4,5,2,1,6] => [1,1,3,1,2]
[.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1] => [8,7,2,3,5,1,4,6] => [1,1,3,3]
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [4,5,3,7,6,8,2,1] => [8,7,4,2,3,5,1,6] => [1,1,1,3,2]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [8,7,3,4,2,5,1,6] => [1,1,2,2,2]
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [4,3,5,7,6,8,2,1] => [8,7,3,2,4,5,1,6] => [1,1,1,3,2]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [8,7,2,3,4,5,1,6] => [1,1,4,2]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [8,7,4,3,2,1,5,6] => [1,1,1,1,1,3]
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [8,7,4,1,2,3,5,6] => [1,1,1,5]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1] => [8,7,3,4,2,1,5,6] => [1,1,2,1,3]
[.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [3,5,6,4,7,8,2,1] => [8,7,2,4,1,3,5,6] => [1,1,2,4]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1] => [8,7,3,2,4,1,5,6] => [1,1,1,2,3]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => [8,7,2,3,4,1,5,6] => [1,1,3,3]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [8,7,3,2,1,4,5,6] => [1,1,1,1,4]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1] => [8,7,2,3,1,4,5,6] => [1,1,2,4]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [8,7,2,1,3,4,5,6] => [1,1,1,5]
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [8,7,1,2,3,4,5,6] => [1,1,6]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [8,6,7,5,4,3,2,1] => [1,2,1,1,1,1,1]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [8,5,7,6,4,3,1,2] => [1,2,1,1,1,2]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [8,5,7,6,4,2,3,1] => [1,2,1,1,2,1]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [8,5,7,6,4,2,1,3] => [1,2,1,1,1,2]
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [8,4,7,6,5,1,2,3] => [1,2,1,1,3]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [8,5,7,6,3,4,2,1] => [1,2,1,2,1,1]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [8,4,7,6,3,1,2,5] => [1,2,1,1,3]
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [2,6,5,7,8,4,3,1] => [8,4,7,6,2,1,3,5] => [1,2,1,1,3]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [8,3,7,6,1,2,4,5] => [1,2,1,4]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [8,5,7,4,6,3,2,1] => [1,2,2,1,1,1]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [8,4,7,3,6,5,1,2] => [1,2,2,1,2]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [8,4,7,3,6,2,5,1] => [1,2,2,2,1]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [8,3,7,2,6,1,4,5] => [1,2,2,3]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [8,5,7,4,3,6,2,1] => [1,2,1,2,1,1]
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [8,4,7,3,2,6,1,5] => [1,2,1,2,2]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [8,3,7,2,4,6,1,5] => [1,2,3,2]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [8,5,7,4,3,2,6,1] => [1,2,1,1,2,1]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [8,4,7,5,2,3,6,1] => [1,2,1,3,1]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [8,4,7,3,5,2,6,1] => [1,2,2,2,1]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [8,3,7,2,4,5,6,1] => [1,2,4,1]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [8,5,7,4,3,2,1,6] => [1,2,1,1,1,2]
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [8,3,7,5,1,2,4,6] => [1,2,1,4]
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [8,4,7,3,5,2,1,6] => [1,2,2,1,2]
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [8,3,7,2,5,1,4,6] => [1,2,2,3]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [8,4,7,3,2,5,1,6] => [1,2,1,2,2]
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [8,4,7,3,2,1,5,6] => [1,2,1,1,3]
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [8,3,7,4,1,2,5,6] => [1,2,1,4]
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [8,3,7,2,4,1,5,6] => [1,2,2,3]
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [8,2,7,1,3,4,5,6] => [1,2,5]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [8,6,5,7,4,3,2,1] => [1,1,2,1,1,1,1]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [3,2,7,8,6,5,4,1] => [8,5,4,7,6,3,1,2] => [1,1,2,1,1,2]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [8,4,3,7,2,6,1,5] => [1,1,2,2,2]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [3,2,6,7,5,8,4,1] => [8,4,3,7,5,1,2,6] => [1,1,2,1,3]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [8,3,2,7,1,4,5,6] => [1,1,2,4]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [8,5,6,7,4,3,2,1] => [1,3,1,1,1,1]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [8,3,4,7,6,1,2,5] => [1,3,1,3]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [2,3,5,8,7,6,4,1] => [8,4,5,7,3,6,2,1] => [1,3,2,1,1]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [8,3,4,7,2,6,1,5] => [1,3,2,2]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [8,4,5,7,3,2,6,1] => [1,3,1,2,1]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [8,3,4,7,2,5,6,1] => [1,3,3,1]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [8,4,5,7,3,2,1,6] => [1,3,1,1,2]
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [8,3,4,7,2,5,1,6] => [1,3,2,2]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [8,2,3,7,1,4,5,6] => [1,3,4]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [8,6,5,4,7,3,2,1] => [1,1,1,2,1,1,1]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [8,5,4,3,7,6,1,2] => [1,1,1,2,1,2]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [4,3,2,6,8,7,5,1] => [8,5,4,3,7,2,6,1] => [1,1,1,2,2,1]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [8,6,4,5,7,3,2,1] => [1,1,3,1,1,1]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [8,5,3,4,7,6,1,2] => [1,1,3,1,2]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [8,5,6,4,7,3,2,1] => [1,2,2,1,1,1]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [8,4,5,3,7,2,6,1] => [1,2,2,2,1]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [8,5,4,6,7,3,2,1] => [1,1,3,1,1,1]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [8,4,5,6,7,3,2,1] => [1,4,1,1,1]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [2,3,4,7,8,6,5,1] => [8,3,4,5,7,6,1,2] => [1,4,1,2]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [8,3,4,5,7,2,6,1] => [1,4,2,1]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [8,3,4,5,7,2,1,6] => [1,4,1,2]
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [8,2,3,4,7,1,5,6] => [1,4,3]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [8,6,5,4,3,7,2,1] => [1,1,1,1,2,1,1]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [8,5,4,3,2,7,1,6] => [1,1,1,1,2,2]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [8,5,3,4,2,7,1,6] => [1,1,2,2,2]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [4,3,5,2,8,7,6,1] => [8,6,4,3,5,7,2,1] => [1,1,1,3,1,1]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [8,5,2,3,4,7,1,6] => [1,1,4,2]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [8,5,6,4,3,7,2,1] => [1,2,1,2,1,1]
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [8,4,6,3,5,7,2,1] => [1,2,3,1,1]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [8,3,5,2,4,7,1,6] => [1,2,3,2]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [8,3,4,5,2,7,1,6] => [1,3,2,2]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [8,5,4,3,6,7,2,1] => [1,1,1,3,1,1]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [8,4,3,2,5,7,1,6] => [1,1,1,3,2]
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [8,5,3,4,6,7,2,1] => [1,1,4,1,1]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [8,4,2,3,5,7,1,6] => [1,1,4,2]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [8,3,2,4,5,7,1,6] => [1,1,4,2]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [8,3,4,5,6,7,2,1] => [1,5,1,1]
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [8,2,3,4,5,7,1,6] => [1,5,2]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [8,6,5,4,3,2,7,1] => [1,1,1,1,1,2,1]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [8,6,5,3,4,2,7,1] => [1,1,1,2,2,1]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [8,6,5,3,2,4,7,1] => [1,1,1,1,3,1]
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [8,6,4,5,3,2,7,1] => [1,1,2,1,2,1]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [8,6,4,3,5,2,7,1] => [1,1,1,2,2,1]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [8,6,4,3,2,5,7,1] => [1,1,1,1,3,1]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [8,6,4,2,3,5,7,1] => [1,1,1,4,1]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [3,4,5,6,2,8,7,1] => [8,6,2,3,4,5,7,1] => [1,1,5,1]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [8,5,6,4,3,2,7,1] => [1,2,1,1,2,1]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [8,4,6,3,5,2,7,1] => [1,2,2,2,1]
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [8,3,6,2,4,5,7,1] => [1,2,4,1]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [8,5,4,6,3,2,7,1] => [1,1,2,1,2,1]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [8,5,4,3,6,2,7,1] => [1,1,1,2,2,1]
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [3,4,2,6,5,8,7,1] => [8,5,3,4,6,2,7,1] => [1,1,3,2,1]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [8,4,5,3,6,2,7,1] => [1,2,2,2,1]
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [8,4,3,5,6,2,7,1] => [1,1,3,2,1]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [8,3,4,5,6,2,7,1] => [1,4,2,1]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [8,5,4,3,2,6,7,1] => [1,1,1,1,3,1]
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [4,5,3,2,6,8,7,1] => [8,5,4,2,3,6,7,1] => [1,1,1,4,1]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [2,5,4,3,6,8,7,1] => [8,4,5,3,2,6,7,1] => [1,2,1,3,1]
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [8,4,3,5,2,6,7,1] => [1,1,2,3,1]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [8,4,3,2,5,6,7,1] => [1,1,1,4,1]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [8,4,2,3,5,6,7,1] => [1,1,5,1]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [8,3,4,2,5,6,7,1] => [1,2,4,1]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [8,3,2,4,5,6,7,1] => [1,1,5,1]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [8,2,3,4,5,6,7,1] => [1,6,1]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,2]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [8,6,5,4,3,1,2,7] => [1,1,1,1,1,3]
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [8,6,5,4,2,3,1,7] => [1,1,1,1,2,2]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [8,6,5,4,2,1,3,7] => [1,1,1,1,1,3]
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [8,6,5,4,1,2,3,7] => [1,1,1,1,4]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => [8,6,5,3,4,2,1,7] => [1,1,1,2,1,2]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => [8,6,5,2,4,1,3,7] => [1,1,1,2,3]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [8,6,5,3,2,1,4,7] => [1,1,1,1,1,3]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [8,6,5,2,3,1,4,7] => [1,1,1,2,3]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [8,6,5,1,2,3,4,7] => [1,1,1,5]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [8,6,3,5,2,4,1,7] => [1,1,2,2,2]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [8,6,2,5,1,3,4,7] => [1,1,2,4]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [8,6,4,3,5,2,1,7] => [1,1,1,2,1,2]
[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [8,6,2,3,5,1,4,7] => [1,1,3,3]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => [8,6,4,3,2,5,1,7] => [1,1,1,1,2,2]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [4,5,3,7,6,2,8,1] => [8,6,4,2,3,5,1,7] => [1,1,1,3,2]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [8,6,3,4,2,5,1,7] => [1,1,2,2,2]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [8,6,4,3,2,1,5,7] => [1,1,1,1,1,3]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [8,6,4,2,3,1,5,7] => [1,1,1,2,3]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [8,6,4,2,1,3,5,7] => [1,1,1,1,4]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [8,6,4,1,2,3,5,7] => [1,1,1,5]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [8,6,3,4,2,1,5,7] => [1,1,2,1,3]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [8,6,2,4,1,3,5,7] => [1,1,2,4]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [8,6,3,2,4,1,5,7] => [1,1,1,2,3]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [8,6,2,3,4,1,5,7] => [1,1,3,3]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [8,6,3,2,1,4,5,7] => [1,1,1,1,4]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [3,5,4,6,7,2,8,1] => [8,6,2,3,1,4,5,7] => [1,1,2,4]
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [8,6,1,2,3,4,5,7] => [1,1,6]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [8,5,6,4,3,2,1,7] => [1,2,1,1,1,2]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [8,4,6,5,2,1,3,7] => [1,2,1,1,3]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [8,3,6,5,1,2,4,7] => [1,2,1,4]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [8,3,6,2,5,1,4,7] => [1,2,2,3]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [8,3,6,2,4,1,5,7] => [1,2,2,3]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [8,3,6,2,1,4,5,7] => [1,2,1,4]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [8,2,6,1,3,4,5,7] => [1,2,5]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [8,4,3,6,5,1,2,7] => [1,1,2,1,3]
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [8,4,3,6,2,5,1,7] => [1,1,2,2,2]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [8,4,3,6,2,1,5,7] => [1,1,2,1,3]
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [8,3,2,6,1,4,5,7] => [1,1,2,4]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [8,4,5,6,3,2,1,7] => [1,3,1,1,2]
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [8,2,3,6,1,4,5,7] => [1,3,4]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [8,5,4,3,6,2,1,7] => [1,1,1,2,1,2]
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [8,4,2,3,6,1,5,7] => [1,1,3,3]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [8,4,5,3,6,2,1,7] => [1,2,2,1,2]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => [8,4,3,5,6,2,1,7] => [1,1,3,1,2]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [8,3,4,5,6,2,1,7] => [1,4,1,2]
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [8,2,3,4,6,1,5,7] => [1,4,3]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [8,5,4,3,2,6,1,7] => [1,1,1,1,2,2]
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [8,5,3,4,2,6,1,7] => [1,1,2,2,2]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [8,5,3,2,4,6,1,7] => [1,1,1,3,2]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [8,5,2,3,4,6,1,7] => [1,1,4,2]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [2,5,4,3,7,6,8,1] => [8,4,5,3,2,6,1,7] => [1,2,1,2,2]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [8,4,3,5,2,6,1,7] => [1,1,2,2,2]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [8,3,4,5,2,6,1,7] => [1,3,2,2]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [8,4,3,2,5,6,1,7] => [1,1,1,3,2]
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [8,4,2,3,5,6,1,7] => [1,1,4,2]
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [8,3,4,2,5,6,1,7] => [1,2,3,2]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [8,3,2,4,5,6,1,7] => [1,1,4,2]
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [8,2,3,4,5,6,1,7] => [1,5,2]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [8,5,4,3,2,1,6,7] => [1,1,1,1,1,3]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [8,5,4,2,1,3,6,7] => [1,1,1,1,4]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [8,5,4,1,2,3,6,7] => [1,1,1,5]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => [8,5,2,4,1,3,6,7] => [1,1,2,4]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [8,5,2,3,4,1,6,7] => [1,1,3,3]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [8,5,3,2,1,4,6,7] => [1,1,1,1,4]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [3,5,4,6,2,7,8,1] => [8,5,2,3,1,4,6,7] => [1,1,2,4]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [8,5,2,1,3,4,6,7] => [1,1,1,5]
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [8,5,1,2,3,4,6,7] => [1,1,6]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [8,4,5,3,2,1,6,7] => [1,2,1,1,3]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => [8,3,5,4,1,2,6,7] => [1,2,1,4]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => [8,3,5,2,4,1,6,7] => [1,2,2,3]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [8,3,5,2,1,4,6,7] => [1,2,1,4]
[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [8,3,2,5,1,4,6,7] => [1,1,2,4]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [8,3,4,5,2,1,6,7] => [1,3,1,3]
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [8,2,3,5,1,4,6,7] => [1,3,4]
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [8,4,2,3,5,1,6,7] => [1,1,3,3]
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [8,2,3,4,5,1,6,7] => [1,4,3]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [8,4,3,2,1,5,6,7] => [1,1,1,1,4]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [8,4,3,1,2,5,6,7] => [1,1,1,5]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => [8,4,2,3,1,5,6,7] => [1,1,2,4]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [8,4,2,1,3,5,6,7] => [1,1,1,5]
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [8,4,1,2,3,5,6,7] => [1,1,6]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => [8,3,4,2,1,5,6,7] => [1,2,1,4]
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [8,2,4,1,3,5,6,7] => [1,2,5]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [8,3,2,4,1,5,6,7] => [1,1,2,4]
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [8,2,3,4,1,5,6,7] => [1,3,4]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [8,3,2,1,4,5,6,7] => [1,1,1,5]
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [8,3,1,2,4,5,6,7] => [1,1,6]
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [8,2,3,1,4,5,6,7] => [1,2,5]
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [8,2,1,3,4,5,6,7] => [1,1,6]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [8,1,2,3,4,5,6,7] => [1,7]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [7,8,6,5,4,3,2,1] => [2,1,1,1,1,1,1]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [6,8,7,5,4,3,1,2] => [2,1,1,1,1,2]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,8,7,5,4,2,3,1] => [2,1,1,1,2,1]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [6,8,7,5,4,2,1,3] => [2,1,1,1,1,2]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [5,8,7,6,4,1,2,3] => [2,1,1,1,3]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,8,7,5,3,4,2,1] => [2,1,1,2,1,1]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [6,8,7,5,3,2,4,1] => [2,1,1,1,2,1]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [6,8,7,5,3,2,1,4] => [2,1,1,1,1,2]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [5,8,7,6,3,1,2,4] => [2,1,1,1,3]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,8,7,6,2,3,1,4] => [2,1,1,2,2]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [5,8,7,6,2,1,3,4] => [2,1,1,1,3]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [4,8,7,6,1,2,3,5] => [2,1,1,4]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,8,7,4,5,3,2,1] => [2,1,2,1,1,1]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,8,7,3,6,4,1,2] => [2,1,2,1,2]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,8,7,3,6,2,4,1] => [2,1,2,2,1]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,8,7,2,6,1,3,5] => [2,1,2,3]
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [5,8,7,3,2,6,1,4] => [2,1,1,2,2]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,8,7,3,4,6,2,1] => [2,1,3,1,1]
[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,6,5,4,8,7,3,2] => [6,8,7,4,3,2,5,1] => [2,1,1,1,2,1]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [5,8,7,3,4,2,6,1] => [2,1,2,2,1]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [5,8,7,3,2,4,6,1] => [2,1,1,3,1]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [6,8,7,4,3,2,1,5] => [2,1,1,1,1,2]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,8,7,2,5,1,3,6] => [2,1,2,3]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [5,8,7,3,2,1,4,6] => [2,1,1,1,3]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,5,6,4,7,8,3,2] => [4,8,7,3,1,2,5,6] => [2,1,1,4]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => [4,8,7,2,1,3,5,6] => [2,1,1,4]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [3,8,7,1,2,4,5,6] => [2,1,5]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,8,5,7,4,3,2,1] => [2,2,1,1,1,1]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,8,4,7,6,3,1,2] => [2,2,1,1,2]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,8,4,7,6,2,3,1] => [2,2,1,2,1]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,8,3,7,6,1,2,5] => [2,2,1,3]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,8,4,7,3,6,2,1] => [2,2,2,1,1]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,8,3,7,2,6,1,5] => [2,2,2,2]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,8,3,7,2,5,6,1] => [2,2,3,1]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,8,3,7,5,1,2,6] => [2,2,1,3]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,8,3,7,2,5,1,6] => [2,2,2,2]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,8,3,7,2,1,5,6] => [2,2,1,3]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,8,2,7,1,4,5,6] => [2,2,4]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [6,8,5,4,7,3,2,1] => [2,1,2,1,1,1]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [5,8,4,3,7,6,1,2] => [2,1,2,1,2]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [5,8,4,3,7,2,6,1] => [2,1,2,2,1]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => [5,8,4,3,7,2,1,6] => [2,1,2,1,2]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [4,8,3,2,7,1,5,6] => [2,1,2,3]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,8,4,6,7,3,2,1] => [2,3,1,1,1]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,8,3,5,7,2,1,6] => [2,3,1,2]
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,8,2,4,7,1,5,6] => [2,3,3]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [6,8,5,4,3,7,2,1] => [2,1,1,2,1,1]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [5,8,6,3,4,7,2,1] => [2,1,3,1,1]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [4,8,5,2,3,7,1,6] => [2,1,3,2]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,3,5,4,8,7,6,2] => [5,8,4,6,3,7,2,1] => [2,2,2,1,1]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [4,8,3,5,2,7,1,6] => [2,2,2,2]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [5,8,4,3,6,7,2,1] => [2,1,3,1,1]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,8,3,5,6,7,2,1] => [2,4,1,1]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,8,2,4,5,7,1,6] => [2,4,2]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [6,8,5,4,3,2,7,1] => [2,1,1,1,2,1]
[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [4,8,6,2,3,5,7,1] => [2,1,4,1]
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [5,8,4,6,3,2,7,1] => [2,2,1,2,1]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [5,8,4,3,6,2,7,1] => [2,1,2,2,1]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [5,8,4,3,2,6,7,1] => [2,1,1,3,1]
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [4,8,5,2,3,6,7,1] => [2,1,4,1]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,8,2,4,5,6,7,1] => [2,5,1]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [6,8,5,4,3,2,1,7] => [2,1,1,1,1,2]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [5,8,6,4,3,1,2,7] => [2,1,1,1,3]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [5,8,6,4,2,1,3,7] => [2,1,1,1,3]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,5,6,7,4,3,8,2] => [4,8,6,5,1,2,3,7] => [2,1,1,4]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,8,6,2,5,1,3,7] => [2,1,2,3]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [4,8,6,2,3,1,5,7] => [2,1,2,3]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [4,8,6,2,1,3,5,7] => [2,1,1,4]
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [3,8,6,1,2,4,5,7] => [2,1,5]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,8,3,6,2,5,1,7] => [2,2,2,2]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,8,3,6,2,1,5,7] => [2,2,1,3]
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,8,2,6,1,4,5,7] => [2,2,4]
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [4,8,3,2,6,1,5,7] => [2,1,2,3]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,8,3,5,6,2,1,7] => [2,3,1,2]
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,8,2,4,6,1,5,7] => [2,3,3]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [4,8,3,5,2,6,1,7] => [2,2,2,2]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,8,2,4,5,6,1,7] => [2,4,2]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [5,8,4,3,2,1,6,7] => [2,1,1,1,3]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [4,8,5,2,1,3,6,7] => [2,1,1,4]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,8,2,5,1,4,6,7] => [2,2,4]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [4,8,3,2,5,1,6,7] => [2,1,2,3]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,8,2,4,5,1,6,7] => [2,3,3]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [4,8,3,2,1,5,6,7] => [2,1,1,4]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [3,8,4,1,2,5,6,7] => [2,1,5]
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [3,8,2,4,1,5,6,7] => [2,2,4]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [3,8,2,1,4,5,6,7] => [2,1,5]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [2,8,1,3,4,5,6,7] => [2,6]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [7,6,8,5,4,3,2,1] => [1,2,1,1,1,1,1]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [6,5,8,7,4,3,1,2] => [1,2,1,1,1,2]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [6,5,8,7,4,2,3,1] => [1,2,1,1,2,1]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [6,5,8,7,4,2,1,3] => [1,2,1,1,1,2]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [5,4,8,7,6,1,2,3] => [1,2,1,1,3]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [6,5,8,7,3,4,2,1] => [1,2,1,2,1,1]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [5,4,8,7,2,6,1,3] => [1,2,1,2,2]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [6,5,8,7,3,2,4,1] => [1,2,1,1,2,1]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [5,4,8,7,2,3,6,1] => [1,2,1,3,1]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [6,5,8,7,3,2,1,4] => [1,2,1,1,1,2]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [5,4,8,7,3,1,2,6] => [1,2,1,1,3]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [5,4,8,7,2,3,1,6] => [1,2,1,2,2]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [5,4,8,7,2,1,3,6] => [1,2,1,1,3]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [4,3,8,7,1,2,5,6] => [1,2,1,4]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [6,5,8,4,7,3,2,1] => [1,2,2,1,1,1]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [5,4,8,3,7,6,1,2] => [1,2,2,1,2]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [5,4,8,3,7,2,6,1] => [1,2,2,2,1]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [2,1,4,7,6,8,5,3] => [5,4,8,3,7,2,1,6] => [1,2,2,1,2]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [4,3,8,2,7,1,5,6] => [1,2,2,3]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [6,5,8,4,3,7,2,1] => [1,2,1,2,1,1]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [5,4,8,3,2,7,1,6] => [1,2,1,2,2]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [5,4,8,3,6,7,2,1] => [1,2,3,1,1]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [4,3,8,2,5,7,1,6] => [1,2,3,2]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [6,5,8,4,3,2,7,1] => [1,2,1,1,2,1]
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [5,4,8,6,2,3,7,1] => [1,2,1,3,1]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [5,4,8,3,6,2,7,1] => [1,2,2,2,1]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [5,4,8,3,2,6,7,1] => [1,2,1,3,1]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [4,3,8,2,5,6,7,1] => [1,2,4,1]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [6,5,8,4,3,2,1,7] => [1,2,1,1,1,2]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [5,4,8,6,3,1,2,7] => [1,2,1,1,3]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [5,4,8,6,2,3,1,7] => [1,2,1,2,2]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [5,4,8,6,2,1,3,7] => [1,2,1,1,3]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [4,3,8,6,1,2,5,7] => [1,2,1,4]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [5,4,8,3,6,2,1,7] => [1,2,2,1,2]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [4,3,8,2,6,1,5,7] => [1,2,2,3]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [5,4,8,3,2,6,1,7] => [1,2,1,2,2]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [4,3,8,5,1,2,6,7] => [1,2,1,4]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [4,3,8,2,1,5,6,7] => [1,2,1,4]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [3,2,8,1,4,5,6,7] => [1,2,5]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,7,8,5,4,3,2,1] => [3,1,1,1,1,1]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,6,8,7,4,3,1,2] => [3,1,1,1,2]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,2,7,6,8,5,4,3] => [5,6,8,7,4,2,1,3] => [3,1,1,1,2]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,5,8,7,6,1,2,3] => [3,1,1,3]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,5,8,7,2,3,6,1] => [3,1,3,1]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,6,8,7,3,2,1,4] => [3,1,1,1,2]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,5,8,7,2,3,1,6] => [3,1,2,2]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,4,8,7,1,2,5,6] => [3,1,4]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,6,8,4,7,3,2,1] => [3,2,1,1,1]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => [4,5,8,3,7,6,1,2] => [3,2,1,2]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,5,8,3,7,2,6,1] => [3,2,2,1]
[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,2,4,7,6,8,5,3] => [4,5,8,3,7,2,1,6] => [3,2,1,2]
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,4,8,2,7,1,5,6] => [3,2,3]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [5,6,8,4,3,7,2,1] => [3,1,2,1,1]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,2,5,4,7,8,6,3] => [4,5,8,3,2,7,1,6] => [3,1,2,2]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,5,8,3,6,7,2,1] => [3,3,1,1]
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,4,8,2,5,7,1,6] => [3,3,2]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [5,6,8,4,3,2,7,1] => [3,1,1,2,1]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,2,4,6,5,8,7,3] => [4,5,8,3,6,2,7,1] => [3,2,2,1]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [4,5,8,3,2,6,7,1] => [3,1,3,1]
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,4,8,2,5,6,7,1] => [3,4,1]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,6,8,4,3,2,1,7] => [3,1,1,1,2]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,5,8,6,2,3,1,7] => [3,1,2,2]
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,4,8,6,1,2,5,7] => [3,1,4]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,5,8,3,6,2,1,7] => [3,2,1,2]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [4,5,8,3,2,6,1,7] => [3,1,2,2]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,5,8,3,2,1,6,7] => [3,1,1,3]
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => [3,4,8,5,1,2,6,7] => [3,1,4]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,4,8,2,1,5,6,7] => [3,1,4]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,3,8,1,4,5,6,7] => [3,5]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [7,6,5,8,4,3,2,1] => [1,1,2,1,1,1,1]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [6,5,4,8,7,3,1,2] => [1,1,2,1,1,2]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [6,5,4,8,7,2,3,1] => [1,1,2,1,2,1]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [6,5,4,8,7,2,1,3] => [1,1,2,1,1,2]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [5,4,3,8,7,1,2,6] => [1,1,2,1,3]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [6,5,4,8,3,7,2,1] => [1,1,2,2,1,1]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [5,4,3,8,2,7,1,6] => [1,1,2,2,2]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [6,5,4,8,3,2,7,1] => [1,1,2,1,2,1]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [5,4,3,8,2,6,7,1] => [1,1,2,3,1]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [6,5,4,8,3,2,1,7] => [1,1,2,1,1,2]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [5,4,3,8,6,1,2,7] => [1,1,2,1,3]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [5,4,3,8,2,6,1,7] => [1,1,2,2,2]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [5,4,3,8,2,1,6,7] => [1,1,2,1,3]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [4,3,2,8,1,5,6,7] => [1,1,2,4]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [7,5,6,8,4,3,2,1] => [1,3,1,1,1,1]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [2,3,1,7,8,6,5,4] => [6,4,5,8,7,3,1,2] => [1,3,1,1,2]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [6,4,5,8,7,2,3,1] => [1,3,1,2,1]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [6,4,5,8,7,2,1,3] => [1,3,1,1,2]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [5,3,4,8,7,1,2,6] => [1,3,1,3]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [5,3,4,8,2,7,1,6] => [1,3,2,2]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [6,4,5,8,3,2,7,1] => [1,3,1,2,1]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [6,4,5,8,3,2,1,7] => [1,3,1,1,2]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [5,3,4,8,6,1,2,7] => [1,3,1,3]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [5,3,4,8,2,6,1,7] => [1,3,2,2]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [4,2,3,8,1,5,6,7] => [1,3,4]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [6,7,5,8,4,3,2,1] => [2,2,1,1,1,1]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [5,6,4,8,7,2,3,1] => [2,2,1,2,1]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [5,6,4,8,7,2,1,3] => [2,2,1,1,2]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [5,6,4,8,3,7,2,1] => [2,2,2,1,1]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [4,5,3,8,2,7,1,6] => [2,2,2,2]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [4,5,3,8,2,6,7,1] => [2,2,3,1]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [5,6,4,8,3,2,1,7] => [2,2,1,1,2]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [4,5,3,8,6,1,2,7] => [2,2,1,3]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [4,5,3,8,2,6,1,7] => [2,2,2,2]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [4,5,3,8,2,1,6,7] => [2,2,1,3]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [3,4,2,8,1,5,6,7] => [2,2,4]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [6,5,7,8,4,3,2,1] => [1,3,1,1,1,1]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [5,4,6,8,7,3,1,2] => [1,3,1,1,2]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => [4,3,5,8,7,1,2,6] => [1,3,1,3]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [5,4,6,8,3,2,7,1] => [1,3,1,2,1]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [2,1,3,5,7,6,8,4] => [4,3,5,8,2,6,1,7] => [1,3,2,2]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [3,2,4,8,1,5,6,7] => [1,3,4]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,6,7,8,4,3,2,1] => [4,1,1,1,1]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,5,6,8,7,3,1,2] => [4,1,1,2]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,5,6,8,7,2,1,3] => [4,1,1,2]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,4,5,8,7,1,2,6] => [4,1,3]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,5,6,8,3,7,2,1] => [4,2,1,1]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,4,5,8,2,7,1,6] => [4,2,2]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,4,5,8,2,6,7,1] => [4,3,1]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,5,6,8,3,2,1,7] => [4,1,1,2]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,4,5,8,6,1,2,7] => [4,1,3]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,4,5,8,2,1,6,7] => [4,1,3]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,3,4,8,1,5,6,7] => [4,4]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [7,6,5,4,8,3,2,1] => [1,1,1,2,1,1,1]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [6,5,4,3,8,7,1,2] => [1,1,1,2,1,2]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [6,5,4,3,8,2,7,1] => [1,1,1,2,2,1]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [6,5,4,3,8,2,1,7] => [1,1,1,2,1,2]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [5,4,3,2,8,1,6,7] => [1,1,1,2,3]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [7,6,4,5,8,3,2,1] => [1,1,3,1,1,1]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [6,5,3,4,8,7,1,2] => [1,1,3,1,2]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [6,5,3,4,8,2,7,1] => [1,1,3,2,1]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [6,5,3,4,8,2,1,7] => [1,1,3,1,2]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [5,4,2,3,8,1,6,7] => [1,1,3,3]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [7,5,6,4,8,3,2,1] => [1,2,2,1,1,1]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [6,4,5,3,8,7,1,2] => [1,2,2,1,2]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [6,4,5,3,8,2,7,1] => [1,2,2,2,1]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [6,4,5,3,8,2,1,7] => [1,2,2,1,2]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [7,5,4,6,8,3,2,1] => [1,1,3,1,1,1]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [6,4,3,5,8,7,1,2] => [1,1,3,1,2]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [6,4,3,5,8,2,7,1] => [1,1,3,2,1]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [6,4,3,5,8,2,1,7] => [1,1,3,1,2]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [5,3,2,4,8,1,6,7] => [1,1,3,3]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [7,4,5,6,8,3,2,1] => [1,4,1,1,1]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [6,3,4,5,8,7,1,2] => [1,4,1,2]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [6,3,4,5,8,2,7,1] => [1,4,2,1]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [6,3,4,5,8,2,1,7] => [1,4,1,2]
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [5,2,3,4,8,1,6,7] => [1,4,3]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [6,7,5,4,8,3,2,1] => [2,1,2,1,1,1]
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [5,6,4,3,8,2,7,1] => [2,1,2,2,1]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [5,6,4,3,8,2,1,7] => [2,1,2,1,2]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [4,5,3,2,8,1,6,7] => [2,1,2,3]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [5,7,4,6,8,3,2,1] => [2,3,1,1,1]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [4,6,3,5,8,7,1,2] => [2,3,1,2]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [4,6,3,5,8,2,7,1] => [2,3,2,1]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [4,6,3,5,8,2,1,7] => [2,3,1,2]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [3,5,2,4,8,1,6,7] => [2,3,3]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [6,5,7,4,8,3,2,1] => [1,2,2,1,1,1]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [5,4,6,3,8,7,1,2] => [1,2,2,1,2]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [5,4,6,3,8,2,7,1] => [1,2,2,2,1]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [5,4,6,3,8,2,1,7] => [1,2,2,1,2]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [4,3,5,2,8,1,6,7] => [1,2,2,3]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [5,6,7,4,8,3,2,1] => [3,2,1,1,1]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [4,5,6,3,8,7,1,2] => [3,2,1,2]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [4,5,6,3,8,2,7,1] => [3,2,2,1]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [4,5,6,3,8,2,1,7] => [3,2,1,2]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [3,4,5,2,8,1,6,7] => [3,2,3]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [6,5,4,7,8,3,2,1] => [1,1,3,1,1,1]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [5,4,3,6,8,7,1,2] => [1,1,3,1,2]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [5,4,3,6,8,2,7,1] => [1,1,3,2,1]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [4,3,2,5,8,1,6,7] => [1,1,3,3]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [6,4,5,7,8,3,2,1] => [1,4,1,1,1]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [5,3,4,6,8,7,1,2] => [1,4,1,2]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [5,3,4,6,8,2,1,7] => [1,4,1,2]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [4,2,3,5,8,1,6,7] => [1,4,3]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [5,6,4,7,8,3,2,1] => [2,3,1,1,1]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [4,5,3,6,8,2,7,1] => [2,3,2,1]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [4,5,3,6,8,2,1,7] => [2,3,1,2]
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [3,4,2,5,8,1,6,7] => [2,3,3]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [5,4,6,7,8,3,2,1] => [1,4,1,1,1]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [4,3,5,6,8,7,1,2] => [1,4,1,2]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [4,3,5,6,8,2,1,7] => [1,4,1,2]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [3,2,4,5,8,1,6,7] => [1,4,3]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,5,6,7,8,3,2,1] => [5,1,1,1]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,4,5,6,8,7,1,2] => [5,1,2]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,4,5,6,8,2,7,1] => [5,2,1]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,4,5,6,8,2,1,7] => [5,1,2]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,3,4,5,8,1,6,7] => [5,3]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [7,6,5,4,3,8,2,1] => [1,1,1,1,2,1,1]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [6,5,4,3,2,8,1,7] => [1,1,1,1,2,2]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [7,6,5,3,4,8,2,1] => [1,1,1,3,1,1]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [7,6,4,5,3,8,2,1] => [1,1,2,2,1,1]
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [6,5,3,4,2,8,1,7] => [1,1,2,2,2]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [7,6,4,3,5,8,2,1] => [1,1,1,3,1,1]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [7,6,3,4,5,8,2,1] => [1,1,4,1,1]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [6,5,2,3,4,8,1,7] => [1,1,4,2]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [7,5,6,4,3,8,2,1] => [1,2,1,2,1,1]
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [6,4,5,3,2,8,1,7] => [1,2,1,2,2]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [7,4,6,3,5,8,2,1] => [1,2,3,1,1]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [6,3,5,2,4,8,1,7] => [1,2,3,2]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [7,5,4,6,3,8,2,1] => [1,1,2,2,1,1]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [6,4,3,5,2,8,1,7] => [1,1,2,2,2]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [7,4,5,6,3,8,2,1] => [1,3,2,1,1]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [7,5,4,3,6,8,2,1] => [1,1,1,3,1,1]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [6,4,3,2,5,8,1,7] => [1,1,1,3,2]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [7,5,3,4,6,8,2,1] => [1,1,4,1,1]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [6,4,2,3,5,8,1,7] => [1,1,4,2]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [7,3,4,5,6,8,2,1] => [1,5,1,1]
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [6,2,3,4,5,8,1,7] => [1,5,2]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [6,7,5,4,3,8,2,1] => [2,1,1,2,1,1]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [5,6,4,3,2,8,1,7] => [2,1,1,2,2]
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [4,6,5,2,3,8,1,7] => [2,1,3,2]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [4,6,3,5,2,8,1,7] => [2,2,2,2]
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [5,7,4,3,6,8,2,1] => [2,1,3,1,1]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [4,6,3,2,5,8,1,7] => [2,1,3,2]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [4,7,3,5,6,8,2,1] => [2,4,1,1]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [3,6,2,4,5,8,1,7] => [2,4,2]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6] => [6,5,7,4,3,8,2,1] => [1,2,1,2,1,1]
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [5,4,7,3,6,8,2,1] => [1,2,3,1,1]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [5,6,7,4,3,8,2,1] => [3,1,2,1,1]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [4,5,6,3,2,8,1,7] => [3,1,2,2]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [4,5,7,3,6,8,2,1] => [3,3,1,1]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [3,4,6,2,5,8,1,7] => [3,3,2]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [5,6,4,7,3,8,2,1] => [2,2,2,1,1]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [4,5,3,6,2,8,1,7] => [2,2,2,2]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [5,4,6,7,3,8,2,1] => [1,3,2,1,1]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [4,3,5,6,2,8,1,7] => [1,3,2,2]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [4,5,6,7,3,8,2,1] => [4,2,1,1]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [3,4,5,6,2,8,1,7] => [4,2,2]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [6,5,4,3,7,8,2,1] => [1,1,1,3,1,1]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [5,4,3,2,6,8,1,7] => [1,1,1,3,2]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [3,4,2,1,5,8,7,6] => [6,5,3,4,7,8,2,1] => [1,1,4,1,1]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [6,4,3,5,7,8,2,1] => [1,1,4,1,1]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [5,3,2,4,6,8,1,7] => [1,1,4,2]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [6,3,4,5,7,8,2,1] => [1,5,1,1]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [5,2,3,4,6,8,1,7] => [1,5,2]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [5,6,4,3,7,8,2,1] => [2,1,3,1,1]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [4,5,3,2,6,8,1,7] => [2,1,3,2]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [4,6,3,5,7,8,2,1] => [2,4,1,1]
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [3,5,2,4,6,8,1,7] => [2,4,2]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [5,4,6,3,7,8,2,1] => [1,2,3,1,1]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [4,3,5,2,6,8,1,7] => [1,2,3,2]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [4,5,6,3,7,8,2,1] => [3,3,1,1]
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [3,4,5,2,6,8,1,7] => [3,3,2]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [5,4,3,6,7,8,2,1] => [1,1,4,1,1]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [4,3,2,5,6,8,1,7] => [1,1,4,2]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [4,2,3,5,6,8,1,7] => [1,5,2]
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [4,5,3,6,7,8,2,1] => [2,4,1,1]
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [3,4,2,5,6,8,1,7] => [2,4,2]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [4,3,5,6,7,8,2,1] => [1,5,1,1]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [3,2,4,5,6,8,1,7] => [1,5,2]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,4,5,6,7,8,2,1] => [6,1,1]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,3,4,5,6,8,1,7] => [6,2]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [7,6,5,4,3,2,8,1] => [1,1,1,1,1,2,1]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [7,6,5,4,2,3,8,1] => [1,1,1,1,3,1]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [7,6,5,3,4,2,8,1] => [1,1,1,2,2,1]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [7,6,5,2,3,4,8,1] => [1,1,1,4,1]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [7,6,4,5,3,2,8,1] => [1,1,2,1,2,1]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [7,6,3,5,2,4,8,1] => [1,1,2,3,1]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [7,6,4,3,5,2,8,1] => [1,1,1,2,2,1]
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [7,6,3,4,5,2,8,1] => [1,1,3,2,1]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [7,6,4,3,2,5,8,1] => [1,1,1,1,3,1]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [7,6,4,2,3,5,8,1] => [1,1,1,4,1]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [7,6,3,2,4,5,8,1] => [1,1,1,4,1]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7] => [7,6,2,3,4,5,8,1] => [1,1,5,1]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [7,5,6,4,3,2,8,1] => [1,2,1,1,2,1]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [7,4,6,3,5,2,8,1] => [1,2,2,2,1]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [7,5,4,6,3,2,8,1] => [1,1,2,1,2,1]
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [7,4,3,6,2,5,8,1] => [1,1,2,3,1]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [7,4,5,6,3,2,8,1] => [1,3,1,2,1]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [7,3,4,6,2,5,8,1] => [1,3,3,1]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [7,5,4,3,6,2,8,1] => [1,1,1,2,2,1]
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [7,5,3,4,6,2,8,1] => [1,1,3,2,1]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [7,4,5,3,6,2,8,1] => [1,2,2,2,1]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [7,5,4,3,2,6,8,1] => [1,1,1,1,3,1]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7] => [7,5,4,2,3,6,8,1] => [1,1,1,4,1]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [7,5,3,4,2,6,8,1] => [1,1,2,3,1]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [7,5,3,2,4,6,8,1] => [1,1,1,4,1]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [7,5,2,3,4,6,8,1] => [1,1,5,1]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [7,4,5,3,2,6,8,1] => [1,2,1,3,1]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [7,4,3,5,2,6,8,1] => [1,1,2,3,1]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [7,4,3,2,5,6,8,1] => [1,1,1,4,1]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [7,4,2,3,5,6,8,1] => [1,1,5,1]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [7,3,4,2,5,6,8,1] => [1,2,4,1]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [7,2,3,4,5,6,8,1] => [1,6,1]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [6,7,5,4,3,2,8,1] => [2,1,1,1,2,1]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [5,7,6,3,2,4,8,1] => [2,1,1,3,1]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [5,7,4,6,3,2,8,1] => [2,2,1,2,1]
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [3,7,2,4,5,6,8,1] => [2,5,1]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [6,5,7,4,3,2,8,1] => [1,2,1,1,2,1]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [5,4,7,6,2,3,8,1] => [1,2,1,3,1]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [5,4,7,3,6,2,8,1] => [1,2,2,2,1]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [5,4,7,3,2,6,8,1] => [1,2,1,3,1]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [4,3,7,2,5,6,8,1] => [1,2,4,1]
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [3,4,7,2,5,6,8,1] => [3,4,1]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => [6,5,4,7,3,2,8,1] => [1,1,2,1,2,1]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [6,4,5,7,3,2,8,1] => [1,3,1,2,1]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [5,6,4,7,3,2,8,1] => [2,2,1,2,1]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [2,1,3,6,5,4,8,7] => [5,4,6,7,3,2,8,1] => [1,3,1,2,1]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [4,3,5,7,2,6,8,1] => [1,3,3,1]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [4,5,6,7,3,2,8,1] => [4,1,2,1]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [3,4,5,7,2,6,8,1] => [4,3,1]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [6,5,4,3,7,2,8,1] => [1,1,1,2,2,1]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [6,5,3,4,7,2,8,1] => [1,1,3,2,1]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [6,4,5,3,7,2,8,1] => [1,2,2,2,1]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [6,4,3,5,7,2,8,1] => [1,1,3,2,1]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [6,3,4,5,7,2,8,1] => [1,4,2,1]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [4,6,3,5,7,2,8,1] => [2,3,2,1]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [5,4,6,3,7,2,8,1] => [1,2,2,2,1]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [4,5,6,3,7,2,8,1] => [3,2,2,1]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [5,3,4,6,7,2,8,1] => [1,4,2,1]
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [4,5,3,6,7,2,8,1] => [2,3,2,1]
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [4,3,5,6,7,2,8,1] => [1,4,2,1]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [3,4,5,6,7,2,8,1] => [5,2,1]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [6,5,4,3,2,7,8,1] => [1,1,1,1,3,1]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [6,5,4,2,3,7,8,1] => [1,1,1,4,1]
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [6,5,3,4,2,7,8,1] => [1,1,2,3,1]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [6,5,3,2,4,7,8,1] => [1,1,1,4,1]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [6,5,2,3,4,7,8,1] => [1,1,5,1]
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [6,4,5,3,2,7,8,1] => [1,2,1,3,1]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [6,3,5,2,4,7,8,1] => [1,2,4,1]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [6,4,3,5,2,7,8,1] => [1,1,2,3,1]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [6,3,4,5,2,7,8,1] => [1,3,3,1]
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [6,2,3,4,5,7,8,1] => [1,6,1]
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [4,6,5,2,3,7,8,1] => [2,1,4,1]
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [3,6,2,4,5,7,8,1] => [2,5,1]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => [5,4,6,3,2,7,8,1] => [1,2,1,3,1]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [4,3,6,2,5,7,8,1] => [1,2,4,1]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [4,5,6,3,2,7,8,1] => [3,1,3,1]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [4,3,5,6,2,7,8,1] => [1,3,3,1]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [3,4,5,6,2,7,8,1] => [4,3,1]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [5,4,3,2,6,7,8,1] => [1,1,1,4,1]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [3,4,2,1,5,6,8,7] => [5,4,2,3,6,7,8,1] => [1,1,5,1]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [5,3,2,4,6,7,8,1] => [1,1,5,1]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [5,2,3,4,6,7,8,1] => [1,6,1]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [4,5,3,2,6,7,8,1] => [2,1,4,1]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [3,5,2,4,6,7,8,1] => [2,5,1]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [4,3,5,2,6,7,8,1] => [1,2,4,1]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [3,4,5,2,6,7,8,1] => [3,4,1]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [4,3,2,5,6,7,8,1] => [1,1,5,1]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [4,2,3,5,6,7,8,1] => [1,6,1]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [3,4,2,5,6,7,8,1] => [2,5,1]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [3,2,4,5,6,7,8,1] => [1,6,1]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,7,8,1] => [7,1]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,2]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [7,6,5,4,3,1,2,8] => [1,1,1,1,1,3]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [7,6,5,4,2,3,1,8] => [1,1,1,1,2,2]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [7,6,5,4,2,1,3,8] => [1,1,1,1,1,3]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [7,6,5,4,1,2,3,8] => [1,1,1,1,4]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [7,6,5,3,4,2,1,8] => [1,1,1,2,1,2]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => [7,6,5,2,4,1,3,8] => [1,1,1,2,3]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [7,6,5,3,2,4,1,8] => [1,1,1,1,2,2]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [7,6,5,2,3,4,1,8] => [1,1,1,3,2]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [7,6,5,3,2,1,4,8] => [1,1,1,1,1,3]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [7,6,5,3,1,2,4,8] => [1,1,1,1,4]
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [7,6,5,2,3,1,4,8] => [1,1,1,2,3]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [7,6,5,2,1,3,4,8] => [1,1,1,1,4]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [7,6,5,1,2,3,4,8] => [1,1,1,5]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [7,6,3,5,2,4,1,8] => [1,1,2,2,2]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [7,6,4,3,5,2,1,8] => [1,1,1,2,1,2]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [7,6,3,4,5,2,1,8] => [1,1,3,1,2]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [7,6,4,3,2,5,1,8] => [1,1,1,1,2,2]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [4,5,3,7,6,2,1,8] => [7,6,4,2,3,5,1,8] => [1,1,1,3,2]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [4,3,5,7,6,2,1,8] => [7,6,3,2,4,5,1,8] => [1,1,1,3,2]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [7,6,4,3,2,1,5,8] => [1,1,1,1,1,3]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [7,6,4,3,1,2,5,8] => [1,1,1,1,4]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [7,6,4,2,1,3,5,8] => [1,1,1,1,4]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => [7,6,3,4,2,1,5,8] => [1,1,2,1,3]
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => [7,6,3,2,4,1,5,8] => [1,1,1,2,3]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [7,6,3,2,1,4,5,8] => [1,1,1,1,4]
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [7,6,1,2,3,4,5,8] => [1,1,6]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [7,5,6,4,3,2,1,8] => [1,2,1,1,1,2]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [7,4,6,5,2,3,1,8] => [1,2,1,2,2]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [2,5,6,7,4,3,1,8] => [7,3,6,5,1,2,4,8] => [1,2,1,4]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [7,3,6,2,5,1,4,8] => [1,2,2,3]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [7,4,6,3,2,5,1,8] => [1,2,1,2,2]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [7,3,6,4,1,2,5,8] => [1,2,1,4]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [7,3,6,2,1,4,5,8] => [1,2,1,4]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [7,5,4,6,3,2,1,8] => [1,1,2,1,1,2]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [7,4,3,6,5,1,2,8] => [1,1,2,1,3]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [7,4,3,6,2,5,1,8] => [1,1,2,2,2]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [7,4,3,6,2,1,5,8] => [1,1,2,1,3]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [7,3,2,6,1,4,5,8] => [1,1,2,4]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [7,4,5,6,3,2,1,8] => [1,3,1,1,2]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [7,3,4,6,5,1,2,8] => [1,3,1,3]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [7,3,4,6,2,5,1,8] => [1,3,2,2]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [7,3,4,6,2,1,5,8] => [1,3,1,3]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [7,3,2,4,6,1,5,8] => [1,1,3,3]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [7,3,4,5,6,2,1,8] => [1,4,1,2]
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [7,2,3,4,6,1,5,8] => [1,4,3]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [7,5,4,3,2,6,1,8] => [1,1,1,1,2,2]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [7,5,4,2,3,6,1,8] => [1,1,1,3,2]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [7,5,3,4,2,6,1,8] => [1,1,2,2,2]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [7,5,3,2,4,6,1,8] => [1,1,1,3,2]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => [7,5,2,3,4,6,1,8] => [1,1,4,2]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [7,4,3,5,2,6,1,8] => [1,1,2,2,2]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [7,4,3,2,5,6,1,8] => [1,1,1,3,2]
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [7,4,2,3,5,6,1,8] => [1,1,4,2]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [7,2,3,4,5,6,1,8] => [1,5,2]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [7,5,4,3,2,1,6,8] => [1,1,1,1,1,3]
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [3,6,5,4,2,7,1,8] => [7,5,3,4,2,1,6,8] => [1,1,2,1,3]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [7,5,2,4,1,3,6,8] => [1,1,2,4]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [3,4,6,5,2,7,1,8] => [7,5,2,3,4,1,6,8] => [1,1,3,3]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [7,5,3,2,1,4,6,8] => [1,1,1,1,4]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [7,5,3,1,2,4,6,8] => [1,1,1,5]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [7,5,2,3,1,4,6,8] => [1,1,2,4]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [7,5,2,1,3,4,6,8] => [1,1,1,5]
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [7,5,1,2,3,4,6,8] => [1,1,6]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [7,3,5,2,1,4,6,8] => [1,2,1,4]
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [2,4,5,6,3,7,1,8] => [7,2,5,1,3,4,6,8] => [1,2,5]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [7,4,3,5,2,1,6,8] => [1,1,2,1,3]
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [7,2,3,5,1,4,6,8] => [1,3,4]
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => [7,4,3,2,5,1,6,8] => [1,1,1,2,3]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [7,4,2,3,5,1,6,8] => [1,1,3,3]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [7,2,3,4,5,1,6,8] => [1,4,3]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [7,4,3,2,1,5,6,8] => [1,1,1,1,4]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8] => [7,4,2,3,1,5,6,8] => [1,1,2,4]
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [7,4,1,2,3,5,6,8] => [1,1,6]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => [7,3,4,2,1,5,6,8] => [1,2,1,4]
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [7,2,3,4,1,5,6,8] => [1,3,4]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [7,3,2,1,4,5,6,8] => [1,1,1,5]
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [7,3,1,2,4,5,6,8] => [1,1,6]
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [2,4,3,5,6,7,1,8] => [7,2,3,1,4,5,6,8] => [1,2,5]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [7,2,1,3,4,5,6,8] => [1,1,6]
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [7,1,2,3,4,5,6,8] => [1,7]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [6,7,5,4,3,2,1,8] => [2,1,1,1,1,2]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [5,7,6,4,3,1,2,8] => [2,1,1,1,3]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [5,7,6,4,2,1,3,8] => [2,1,1,1,3]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => [4,7,6,5,1,2,3,8] => [2,1,1,4]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,7,6,3,4,2,1,8] => [2,1,2,1,2]
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [4,7,6,2,5,1,3,8] => [2,1,2,3]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [5,7,6,3,2,4,1,8] => [2,1,1,2,2]
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [4,7,6,2,3,1,5,8] => [2,1,2,3]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8] => [3,7,6,1,2,4,5,8] => [2,1,5]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [5,7,4,6,3,2,1,8] => [2,2,1,1,2]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [4,7,3,6,5,1,2,8] => [2,2,1,3]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,7,3,6,2,5,1,8] => [2,2,2,2]
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,7,2,6,1,4,5,8] => [2,2,4]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,7,2,4,6,1,5,8] => [2,3,3]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [4,7,3,5,2,6,1,8] => [2,2,2,2]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [4,7,3,2,5,6,1,8] => [2,1,3,2]
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [3,7,2,4,5,6,1,8] => [2,4,2]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [4,7,5,2,1,3,6,8] => [2,1,1,4]
[[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,4,5,6,3,7,2,8] => [3,7,5,1,2,4,6,8] => [2,1,5]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,7,3,5,2,1,6,8] => [2,2,1,3]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,7,2,5,1,4,6,8] => [2,2,4]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [4,7,3,2,5,1,6,8] => [2,1,2,3]
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,7,2,4,5,1,6,8] => [2,3,3]
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8] => [4,7,3,2,1,5,6,8] => [2,1,1,4]
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,3,5,4,6,7,2,8] => [3,7,2,4,1,5,6,8] => [2,2,4]
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [1,4,3,5,6,7,2,8] => [3,7,2,1,4,5,6,8] => [2,1,5]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [2,7,1,3,4,5,6,8] => [2,6]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [6,5,7,4,3,2,1,8] => [1,2,1,1,1,2]
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [5,4,7,6,3,1,2,8] => [1,2,1,1,3]
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [4,3,7,2,6,1,5,8] => [1,2,2,3]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [2,1,5,4,6,7,3,8] => [4,3,7,2,1,5,6,8] => [1,2,1,4]
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [3,2,7,1,4,5,6,8] => [1,2,5]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,6,7,4,3,2,1,8] => [3,1,1,1,2]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [4,5,7,6,2,3,1,8] => [3,1,2,2]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [3,4,7,6,1,2,5,8] => [3,1,4]
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,2,4,6,5,7,3,8] => [3,4,7,2,5,1,6,8] => [3,2,3]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [3,4,7,2,1,5,6,8] => [3,1,4]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [2,3,7,1,4,5,6,8] => [3,5]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [6,5,4,7,3,2,1,8] => [1,1,2,1,1,2]
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [5,4,3,7,6,1,2,8] => [1,1,2,1,3]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [5,4,3,7,2,6,1,8] => [1,1,2,2,2]
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [3,2,1,6,5,7,4,8] => [5,4,3,7,2,1,6,8] => [1,1,2,1,3]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [4,3,2,7,1,5,6,8] => [1,1,2,4]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [5,3,4,7,6,1,2,8] => [1,3,1,3]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [5,3,4,7,2,1,6,8] => [1,3,1,3]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [4,2,3,7,1,5,6,8] => [1,3,4]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [5,6,4,7,3,2,1,8] => [2,2,1,1,2]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [4,5,3,7,2,6,1,8] => [2,2,2,2]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [4,5,3,7,2,1,6,8] => [2,2,1,3]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [3,4,2,7,1,5,6,8] => [2,2,4]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [4,3,5,7,6,1,2,8] => [1,3,1,3]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,5,6,7,3,2,1,8] => [4,1,1,2]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,3,4,7,1,5,6,8] => [4,4]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [6,5,4,3,7,2,1,8] => [1,1,1,2,1,2]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [5,4,3,2,7,1,6,8] => [1,1,1,2,3]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [5,3,2,4,7,1,6,8] => [1,1,3,3]
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [5,2,3,4,7,1,6,8] => [1,4,3]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [5,6,4,3,7,2,1,8] => [2,1,2,1,2]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [4,5,3,2,7,1,6,8] => [2,1,2,3]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [3,5,2,4,7,1,6,8] => [2,3,3]
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [2,1,4,3,6,7,5,8] => [4,3,5,2,7,1,6,8] => [1,2,2,3]
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [3,4,5,2,7,1,6,8] => [3,2,3]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [5,4,3,6,7,2,1,8] => [1,1,3,1,2]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [4,5,3,6,7,2,1,8] => [2,3,1,2]
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,3,2,4,6,7,5,8] => [3,4,2,5,7,1,6,8] => [2,3,3]
[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [2,1,3,4,6,7,5,8] => [3,2,4,5,7,1,6,8] => [1,4,3]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,4,5,6,7,2,1,8] => [5,1,2]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [2,3,4,5,7,1,6,8] => [5,3]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [6,5,4,3,2,7,1,8] => [1,1,1,1,2,2]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [6,5,2,3,4,7,1,8] => [1,1,4,2]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [6,3,5,2,4,7,1,8] => [1,2,3,2]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [6,4,3,5,2,7,1,8] => [1,1,2,2,2]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [6,3,4,5,2,7,1,8] => [1,3,2,2]
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [6,4,2,3,5,7,1,8] => [1,1,4,2]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [6,3,4,2,5,7,1,8] => [1,2,3,2]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [6,2,3,4,5,7,1,8] => [1,5,2]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [4,6,3,5,2,7,1,8] => [2,2,2,2]
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [3,6,2,4,5,7,1,8] => [2,4,2]
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [5,4,6,3,2,7,1,8] => [1,2,1,2,2]
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [3,4,6,2,5,7,1,8] => [3,3,2]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [5,4,3,6,2,7,1,8] => [1,1,2,2,2]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [5,3,4,6,2,7,1,8] => [1,3,2,2]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [4,5,3,6,2,7,1,8] => [2,2,2,2]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [3,4,5,6,2,7,1,8] => [4,2,2]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [5,4,3,2,6,7,1,8] => [1,1,1,3,2]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [5,3,2,4,6,7,1,8] => [1,1,4,2]
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [5,2,3,4,6,7,1,8] => [1,5,2]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [4,5,3,2,6,7,1,8] => [2,1,3,2]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [3,4,5,2,6,7,1,8] => [3,3,2]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8] => [4,3,2,5,6,7,1,8] => [1,1,4,2]
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [4,2,3,5,6,7,1,8] => [1,5,2]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [3,4,2,5,6,7,1,8] => [2,4,2]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [3,2,4,5,6,7,1,8] => [1,5,2]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [2,3,4,5,6,7,1,8] => [6,2]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7,8] => [1,1,1,1,1,3]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [6,5,4,3,1,2,7,8] => [1,1,1,1,4]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [6,5,4,2,1,3,7,8] => [1,1,1,1,4]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [6,5,4,1,2,3,7,8] => [1,1,1,5]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [6,5,3,4,2,1,7,8] => [1,1,2,1,3]
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [4,3,6,5,2,1,7,8] => [6,5,3,2,4,1,7,8] => [1,1,1,2,3]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [6,5,3,2,1,4,7,8] => [1,1,1,1,4]
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [6,5,1,2,3,4,7,8] => [1,1,6]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [6,3,5,2,4,1,7,8] => [1,2,2,3]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [2,3,6,5,4,1,7,8] => [6,3,4,5,2,1,7,8] => [1,3,1,3]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [6,4,3,2,5,1,7,8] => [1,1,1,2,3]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [6,3,4,2,5,1,7,8] => [1,2,2,3]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [6,2,3,4,5,1,7,8] => [1,4,3]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [6,4,3,2,1,5,7,8] => [1,1,1,1,4]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [6,4,3,1,2,5,7,8] => [1,1,1,5]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [6,4,2,1,3,5,7,8] => [1,1,1,5]
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [6,4,1,2,3,5,7,8] => [1,1,6]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [6,2,3,4,1,5,7,8] => [1,3,4]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [6,3,2,1,4,5,7,8] => [1,1,1,5]
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [6,2,1,3,4,5,7,8] => [1,1,6]
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [6,1,2,3,4,5,7,8] => [1,7]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [5,6,4,3,2,1,7,8] => [2,1,1,1,3]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [4,6,5,3,1,2,7,8] => [2,1,1,4]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => [4,6,5,2,3,1,7,8] => [2,1,2,3]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [4,6,5,2,1,3,7,8] => [2,1,1,4]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,6,2,5,1,4,7,8] => [2,2,4]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [4,6,3,2,5,1,7,8] => [2,1,2,3]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [4,6,3,2,1,5,7,8] => [2,1,1,4]
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [3,6,4,1,2,5,7,8] => [2,1,5]
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,3,5,4,6,2,7,8] => [3,6,2,4,1,5,7,8] => [2,2,4]
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => [3,6,2,1,4,5,7,8] => [2,1,5]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [2,6,1,3,4,5,7,8] => [2,6]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [4,3,6,5,1,2,7,8] => [1,2,1,4]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [4,3,6,2,5,1,7,8] => [1,2,2,3]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [4,5,6,3,2,1,7,8] => [3,1,1,3]
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [3,4,6,5,1,2,7,8] => [3,1,4]
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,4,6,2,5,1,7,8] => [3,2,3]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [2,3,6,1,4,5,7,8] => [3,5]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [5,4,3,6,2,1,7,8] => [1,1,2,1,3]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [4,3,2,6,1,5,7,8] => [1,1,2,4]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [4,5,3,6,2,1,7,8] => [2,2,1,3]
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [3,4,2,6,1,5,7,8] => [2,2,4]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [3,4,5,6,2,1,7,8] => [4,1,3]
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [2,3,4,6,1,5,7,8] => [4,4]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [5,4,3,2,6,1,7,8] => [1,1,1,2,3]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [5,3,2,4,6,1,7,8] => [1,1,3,3]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [5,2,3,4,6,1,7,8] => [1,4,3]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [4,3,5,2,6,1,7,8] => [1,2,2,3]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [3,4,5,2,6,1,7,8] => [3,2,3]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [3,4,2,5,6,1,7,8] => [2,3,3]
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [3,2,4,5,6,1,7,8] => [1,4,3]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [2,3,4,5,6,1,7,8] => [5,3]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7,8] => [1,1,1,1,4]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [5,4,3,1,2,6,7,8] => [1,1,1,5]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [5,4,2,3,1,6,7,8] => [1,1,2,4]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [5,4,2,1,3,6,7,8] => [1,1,1,5]
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [5,4,1,2,3,6,7,8] => [1,1,6]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [5,3,4,2,1,6,7,8] => [1,2,1,4]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [5,2,4,1,3,6,7,8] => [1,2,5]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [5,3,2,4,1,6,7,8] => [1,1,2,4]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [5,2,3,4,1,6,7,8] => [1,3,4]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [5,3,2,1,4,6,7,8] => [1,1,1,5]
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [5,3,1,2,4,6,7,8] => [1,1,6]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [5,2,3,1,4,6,7,8] => [1,2,5]
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [5,2,1,3,4,6,7,8] => [1,1,6]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [5,1,2,3,4,6,7,8] => [1,7]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [4,5,3,2,1,6,7,8] => [2,1,1,4]
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [3,5,2,4,1,6,7,8] => [2,2,4]
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,4,3,5,2,6,7,8] => [3,5,2,1,4,6,7,8] => [2,1,5]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [2,5,1,3,4,6,7,8] => [2,6]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [4,3,5,2,1,6,7,8] => [1,2,1,4]
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [3,2,5,1,4,6,7,8] => [1,2,5]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [3,4,5,2,1,6,7,8] => [3,1,4]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,2,4,5,3,6,7,8] => [2,3,5,1,4,6,7,8] => [3,5]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [4,3,2,5,1,6,7,8] => [1,1,2,4]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [4,2,3,5,1,6,7,8] => [1,3,4]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [3,4,2,5,1,6,7,8] => [2,2,4]
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => [3,2,4,5,1,6,7,8] => [1,3,4]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [2,3,4,5,1,6,7,8] => [4,4]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [1,1,1,5]
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [4,3,1,2,5,6,7,8] => [1,1,6]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => [1,2,5]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [4,2,1,3,5,6,7,8] => [1,1,6]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [4,1,2,3,5,6,7,8] => [1,7]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [3,4,2,1,5,6,7,8] => [2,1,5]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [2,4,1,3,5,6,7,8] => [2,6]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [3,2,4,1,5,6,7,8] => [1,2,5]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [2,3,4,1,5,6,7,8] => [3,5]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [1,1,6]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [1,7]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [2,6]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [1,7]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,2]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,3]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [9,8,7,6,5,1,2,3,4] => [1,1,1,1,1,4]
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [9,8,7,6,1,2,3,4,5] => [1,1,1,1,5]
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [9,8,7,1,2,3,4,5,6] => [1,1,1,6]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [9,8,1,2,3,4,5,6,7] => [1,1,7]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [9,1,2,3,4,5,6,7,8] => [1,8]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,2]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [9,8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,2,1]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,3]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [10,9,8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,4]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [10,9,8,7,6,1,2,3,4,5] => [1,1,1,1,1,5]
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [10,9,8,7,1,2,3,4,5,6] => [1,1,1,1,6]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [10,9,8,1,2,3,4,5,6,7] => [1,1,1,7]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [10,9,1,2,3,4,5,6,7,8] => [1,1,8]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [2,9,1,3,4,5,6,7,8] => [2,7]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [10,1,2,3,4,5,6,7,8,9] => [1,9]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [9,8,7,6,5,4,2,1,3] => [1,1,1,1,1,1,1,2]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [9,8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,1,2]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [9,8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,1,2]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [9,8,7,5,4,3,2,1,6] => [1,1,1,1,1,1,1,2]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [9,8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,1,2]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [9,7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,1,2]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1,9] => [1,1,1,1,1,1,1,2]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,2,1,3] => [1,1,1,1,1,1,1,1,2]
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [6,8,7,9,5,4,3,2,1] => [9,8,7,6,5,2,3,1,4] => [1,1,1,1,1,2,2]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [10,9,8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,1,1,2]
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [5,8,7,6,9,4,3,2,1] => [9,8,7,6,3,4,2,1,5] => [1,1,1,1,2,1,2]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [10,9,8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,1,1,2]
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [4,8,7,6,5,9,3,2,1] => [9,8,7,4,5,3,2,1,6] => [1,1,1,2,1,1,2]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [10,9,8,7,5,4,3,2,1,6] => [1,1,1,1,1,1,1,1,2]
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [3,8,7,6,5,4,9,2,1] => [9,8,5,6,4,3,2,1,7] => [1,1,2,1,1,1,2]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [10,9,8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,1,1,2]
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [2,8,7,6,5,4,3,9,1] => [9,6,7,5,4,3,2,1,8] => [1,2,1,1,1,1,2]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [10,9,7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,1,1,2]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [7,8,6,5,4,3,2,1,9] => [2,1,1,1,1,1,2]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [10,8,7,6,5,4,3,2,1,9] => [1,1,1,1,1,1,1,1,2]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,2,1,10] => [1,1,1,1,1,1,1,1,2]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,10,4,9,3,8,2,7,1,6] => [2,2,2,2,2]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [9,7,5,3,1,2,4,6,8,10] => [1,1,1,1,6]
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,10,9,1] => [10,5,6,4,7,3,8,2,9,1] => [1,2,2,2,2,1]
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,1,4,6,5,3,8,10,9,7] => [6,5,8,4,7,3,10,2,9,1] => [1,2,2,2,2,1]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [6,5,7,4,8,3,9,2,10,1] => [1,2,2,2,2,1]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [7,6,8,5,9,4,10,3,11,2,12,1] => [1,2,2,2,2,2,1]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,3,4,5,6,7,8,9,1] => [8,1]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,3,4,5,6,7,8,9,10,1] => [9,1]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [3,2,4,5,6,7,8,9,1] => [1,7,1]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [9,2,1,3,4,5,6,7,8] => [1,1,7]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [2,3,4,5,6,7,8,9,10,11,1] => [10,1]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [3,2,4,5,6,7,8,9,10,1] => [1,8,1]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [3,4,2,5,6,7,8,9,1] => [2,6,1]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [2,3,1,4,5,6,7,9,8] => [4,2,3,5,6,7,8,9,1] => [1,7,1]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [2,4,3,5,6,7,8,9,1] => [9,2,3,1,4,5,6,7,8] => [1,2,6]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [9,3,1,2,4,5,6,7,8] => [1,1,7]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [10,2,1,3,4,5,6,7,8,9] => [1,1,8]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [11,1,2,3,4,5,6,7,8,9,10] => [1,10]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [2,3,4,5,6,7,9,1,8] => [7,2]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [2,3,4,5,6,9,1,7,8] => [6,3]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [2,3,4,5,9,1,6,7,8] => [5,4]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [2,3,4,9,1,5,6,7,8] => [4,5]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [2,3,9,1,4,5,6,7,8] => [3,6]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,4,5,6,7,8,9,2,1] => [7,1,1]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [2,3,4,5,6,7,8,10,1,9] => [8,2]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => [3,4,5,6,7,9,2,1,8] => [6,1,2]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [2,3,4,5,6,7,10,1,8,9] => [7,3]
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,4,7,6,8,9,5] => [3,4,5,6,9,2,1,7,8] => [5,1,3]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [2,3,4,5,6,10,1,7,8,9] => [6,4]
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,2,3,6,5,7,8,9,4] => [3,4,5,9,2,1,6,7,8] => [4,1,4]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,3,4,5,10,1,6,7,8,9] => [5,5]
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [1,2,5,4,6,7,8,9,3] => [3,4,9,2,1,5,6,7,8] => [3,1,5]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [2,3,4,10,1,5,6,7,8,9] => [4,6]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [3,9,2,1,4,5,6,7,8] => [2,1,6]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [2,3,10,1,4,5,6,7,8,9] => [3,7]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [2,10,1,3,4,5,6,7,8,9] => [2,8]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [8,9,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [8,7,6,5,4,3,1,2,9] => [1,1,1,1,1,1,3]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [9,10,8,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [10,9,8,7,6,5,4,3,2,1,11] => [1,1,1,1,1,1,1,1,1,2]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,1,2,10] => [1,1,1,1,1,1,1,3]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [8,7,6,5,4,2,1,3,9] => [1,1,1,1,1,1,3]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [10,11,9,8,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1,1]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [10,8,6,4,2,1,3,5,7,9] => [1,1,1,1,1,5]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [12,10,8,6,4,2,1,3,5,7,9,11] => [1,1,1,1,1,1,6]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [8,7,9,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [8,7,6,9,5,4,3,2,1] => [1,1,2,1,1,1,1,1]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [8,7,6,5,9,4,3,2,1] => [1,1,1,2,1,1,1,1]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [8,7,6,5,4,9,3,2,1] => [1,1,1,1,2,1,1,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [8,7,6,5,4,3,9,2,1] => [1,1,1,1,1,2,1,1]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [8,7,6,5,4,3,2,9,1] => [1,1,1,1,1,1,2,1]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [7,8,9,6,5,4,3,2,1] => [3,1,1,1,1,1,1]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [9,8,10,7,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1,1]
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [8,6,7,9,5,4,3,2,1] => [1,3,1,1,1,1,1]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [9,8,7,10,6,5,4,3,2,1] => [1,1,2,1,1,1,1,1,1]
[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [3,4,2,1,9,8,7,6,5] => [8,7,5,6,9,4,3,2,1] => [1,1,3,1,1,1,1]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [9,8,7,6,10,5,4,3,2,1] => [1,1,1,2,1,1,1,1,1]
[[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]] => [4,5,3,2,1,9,8,7,6] => [8,7,6,4,5,9,3,2,1] => [1,1,1,3,1,1,1]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [9,8,7,6,5,10,4,3,2,1] => [1,1,1,1,2,1,1,1,1]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]] => [5,6,4,3,2,1,9,8,7] => [8,7,6,5,3,4,9,2,1] => [1,1,1,1,3,1,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [9,8,7,6,5,4,10,3,2,1] => [1,1,1,1,1,2,1,1,1]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [6,7,5,4,3,2,1,9,8] => [8,7,6,5,4,2,3,9,1] => [1,1,1,1,1,3,1]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [9,8,7,6,5,4,3,10,2,1] => [1,1,1,1,1,1,2,1,1]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [9,8,7,6,5,4,3,2,10,1] => [1,1,1,1,1,1,1,2,1]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8,9] => [1,1,1,1,1,1,3]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,7,8,9] => [1,1,1,1,1,4]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => [1,1,1,1,5]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => [1,1,1,6]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [1,1,7]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [1,8]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [8,7,6,5,4,3,2,1,9,10] => [1,1,1,1,1,1,1,3]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [7,6,5,4,3,2,1,8,9,10] => [1,1,1,1,1,1,4]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => [1,1,1,1,1,5]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9,10] => [1,1,1,1,6]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => [1,1,1,7]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [3,4,2,1,5,6,7,8,9] => [2,1,6]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => [1,1,8]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [2,7]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [1,9]
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [4,9,8,7,6,5,3,2,1] => [9,8,7,5,6,4,3,2,1] => [1,1,1,2,1,1,1,1]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [9,7,8,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1]
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7,10,9] => [7,5,6,4,8,3,9,2,10,1] => [1,2,2,2,2,1]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,10,9,7] => [6,5,7,4,8,3,10,2,9,1] => [1,2,2,2,2,1]
[[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7,10,9,12,11] => [8,6,7,5,9,4,10,3,11,2,12,1] => [1,2,2,2,2,2,1]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [9,2,3,4,5,6,7,8,1] => [1,7,1]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [1,10]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [2,1,3,4,5,6,8,7,9] => [3,2,4,5,6,7,8,1,9] => [1,6,2]
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [2,1,3,4,5,6,8,9,7] => [3,2,4,5,6,7,9,1,8] => [1,6,2]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [10,2,3,4,5,6,7,8,9,1] => [1,8,1]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9] => [1,2,6]
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [3,2,1,5,4,6,7,8,9] => [4,3,2,5,1,6,7,8,9] => [1,1,2,5]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [6,5,4,3,2,1,8,7,9] => [7,6,5,4,3,2,8,1,9] => [1,1,1,1,1,2,2]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [9,7,1,2,3,4,5,6,8] => [1,1,7]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [8,1,2,3,4,5,6,7,9] => [1,8]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => [1,8]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,1,2,3,4,5,6,8,9] => [1,8]
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => [1,9]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9] => [4,2,3,1,5,6,7,8,9] => [1,2,6]
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [2,3,5,4,1,6,7,8,9] => [5,2,3,4,1,6,7,8,9] => [1,3,5]
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [2,3,4,6,5,1,7,8,9] => [6,2,3,4,5,1,7,8,9] => [1,4,4]
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [2,3,4,5,7,6,1,8,9] => [7,2,3,4,5,6,1,8,9] => [1,5,3]
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [2,3,4,5,6,8,7,1,9] => [8,2,3,4,5,6,7,1,9] => [1,6,2]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [9,1,2,3,4,5,6,7,8,10] => [1,9]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => [3,6]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [4,5]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [2,3,4,5,6,1,7,8,9] => [5,4]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [2,3,4,5,6,7,1,8,9] => [6,3]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [2,3,4,5,6,7,8,1,9] => [7,2]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [2,8]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10] => [3,7]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10] => [4,6]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10] => [5,5]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [2,3,4,5,6,7,1,8,9,10] => [6,4]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [2,3,4,5,6,7,8,1,9,10] => [7,3]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [2,3,4,5,6,7,8,9,1,10] => [8,2]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [3,9,2,4,5,6,7,8,1] => [2,6,1]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [7,6,5,4,3,2,9,8,1] => [9,7,6,5,4,3,2,8,1] => [1,1,1,1,1,1,2,1]
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [6,5,4,3,2,7,8,9,1] => [9,5,4,3,2,1,6,7,8] => [1,1,1,1,1,4]
[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => [7,6,5,4,3,2,8,9,1] => [9,6,5,4,3,2,1,7,8] => [1,1,1,1,1,1,3]
[.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]] => [8,7,6,5,4,3,2,9,10,1] => [10,7,6,5,4,3,2,1,8,9] => [1,1,1,1,1,1,1,3]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [7,8,6,5,4,3,2,9,1] => [2,1,1,1,1,2,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [7,6,5,4,3,2,9,1,8] => [1,1,1,1,1,2,2]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [11]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [8,9,10,7,6,5,4,3,2,1] => [3,1,1,1,1,1,1,1]
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9] => [7,6,8,5,4,3,2,1,9] => [1,2,1,1,1,1,2]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [8,9,7,6,5,4,3,2,1,10] => [2,1,1,1,1,1,1,2]
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [1,2,4,5,3,6,7,8,9] => [2,3,5,1,4,6,7,8,9] => [3,6]
[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [2,1,4,5,3,6,7,8,9] => [3,2,5,1,4,6,7,8,9] => [1,2,6]
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [1,3,2,5,4,6,7,8,9] => [3,4,2,5,1,6,7,8,9] => [2,2,5]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [8,7,6,5,4,3,2,10,9,1] => [10,8,7,6,5,4,3,2,9,1] => [1,1,1,1,1,1,1,2,1]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [3,2,9,1,4,5,6,7,8] => [1,2,6]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [2,8,1,3,4,5,6,7,9] => [2,7]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,4,5,6,7,8,9,10,2,1] => [8,1,1]
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [6,7,8,5,4,3,2,1,9] => [8,7,6,5,4,1,2,3,9] => [1,1,1,1,1,4]
[[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],.]] => [5,4,3,2,1,7,8,9,6] => [6,5,4,3,2,9,1,7,8] => [1,1,1,1,2,3]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [4,5,6,7,8,9,3,2,1] => [6,1,1,1]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [5,6,7,8,9,4,3,2,1] => [5,1,1,1,1]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [6,7,8,9,5,4,3,2,1] => [4,1,1,1,1,1]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [3,4,5,6,7,8,2,9,1] => [6,2,1]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [4,5,6,7,8,9,10,3,2,1] => [7,1,1,1]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [5,6,7,8,9,10,4,3,2,1] => [6,1,1,1,1]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [6,7,8,9,10,5,4,3,2,1] => [5,1,1,1,1,1]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4] => [7,8,9,10,6,5,4,3,2,1] => [4,1,1,1,1,1,1]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9] => [3,4,5,6,7,8,9,2,10,1] => [7,2,1]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [11,10,9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,1,2]
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [9,7,6,5,4,3,1,2,8] => [1,1,1,1,1,1,3]
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [4,3,1,2,5,6,7,8,9] => [1,1,7]
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [8,6,5,4,3,2,1,7,9] => [1,1,1,1,1,1,3]
[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.] => [7,6,5,8,4,3,2,1,9] => [8,7,6,5,3,2,1,4,9] => [1,1,1,1,1,1,3]
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [4,5,3,2,1,6,7,8,9] => [5,4,3,1,2,6,7,8,9] => [1,1,1,6]
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [8,2,1,3,4,5,6,7,9] => [1,1,7]
[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.] => [5,4,3,2,1,8,7,6,9] => [7,6,5,4,3,8,2,1,9] => [1,1,1,1,2,1,2]
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [9,6,7,8,5,4,3,2,1] => [1,3,1,1,1,1,1]
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [2,8,7,6,5,4,3,1,9] => [8,6,7,5,4,3,2,1,9] => [1,2,1,1,1,1,2]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [8,2,3,4,5,6,7,9,1] => [1,7,1]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [2,4,1,3,5,6,7,8,9] => [2,7]
[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.] => [8,7,6,5,4,3,2,9,1,10] => [9,7,6,5,4,3,2,1,8,10] => [1,1,1,1,1,1,1,3]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,8,10,9,11] => [2,3,4,5,6,7,8,9,10,1,11] => [9,2]
[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.] => [5,6,4,3,2,1,7,8,9] => [6,5,4,3,1,2,7,8,9] => [1,1,1,1,5]
[[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.],.] => [5,6,4,3,2,1,7,8,9,10] => [6,5,4,3,1,2,7,8,9,10] => [1,1,1,1,6]
[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.] => [6,7,5,4,3,2,1,8,9,10] => [7,6,5,4,3,1,2,8,9,10] => [1,1,1,1,1,5]
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [6,7,5,4,3,2,1,8,9] => [7,6,5,4,3,1,2,8,9] => [1,1,1,1,1,4]
[[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]] => [5,4,3,2,1,8,9,7,6] => [7,6,5,4,3,9,8,1,2] => [1,1,1,1,2,1,2]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [8,7,6,5,4,3,2,10,1,9] => [1,1,1,1,1,1,2,2]
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
major-index to inversion-number bijection
Description
Return the permutation whose Lehmer code equals the major code of the preimage.
This map sends the major index to the number of inversions.
This map sends the major index to the number of inversions.
Map
descent composition
Description
The descent composition of a permutation.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.
searching the database
Sorry, this map was not found in the database.