Identifier
Mp00014:
Binary trees
—to 132-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]
[[.,.],[.,.]] => [3,1,2] => [1,3,2] => [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]
[.,[[.,.],[.,.]]] => [4,2,3,1] => [4,1,3,2] => [1,2,1]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,2,1,3] => [1,1,2]
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,1,2,3] => [1,3]
[[.,.],[.,[.,.]]] => [4,3,1,2] => [1,4,3,2] => [2,1,1]
[[.,.],[[.,.],.]] => [3,4,1,2] => [1,4,2,3] => [2,2]
[[.,[.,.]],[.,.]] => [4,2,1,3] => [3,1,4,2] => [1,2,1]
[[[.,.],.],[.,.]] => [4,1,2,3] => [1,2,4,3] => [3,1]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1,4] => [1,1,2]
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,1,2,4] => [1,3]
[[[.,.],[.,.]],.] => [3,1,2,4] => [1,3,2,4] => [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]
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [5,4,1,3,2] => [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]
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [5,1,4,3,2] => [1,2,1,1]
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [5,1,4,2,3] => [1,2,2]
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [5,3,1,4,2] => [1,1,2,1]
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [5,1,2,4,3] => [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]
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [5,1,3,2,4] => [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]
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [1,5,4,3,2] => [2,1,1,1]
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [1,5,4,2,3] => [2,1,2]
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [1,5,2,4,3] => [2,2,1]
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [1,5,3,2,4] => [2,1,2]
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [1,5,2,3,4] => [2,3]
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [4,1,5,3,2] => [1,2,1,1]
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [4,1,5,2,3] => [1,2,2]
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [1,2,5,4,3] => [3,1,1]
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [1,2,5,3,4] => [3,2]
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [4,3,1,5,2] => [1,1,2,1]
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [4,1,2,5,3] => [1,3,1]
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [1,4,2,5,3] => [2,2,1]
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [3,1,2,5,4] => [1,3,1]
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [1,2,3,5,4] => [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]
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [4,1,3,2,5] => [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]
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [1,4,3,2,5] => [2,1,2]
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [1,4,2,3,5] => [2,3]
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [3,1,4,2,5] => [1,2,2]
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [1,2,4,3,5] => [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]
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [1,3,2,4,5] => [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]
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [6,5,4,1,3,2] => [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]
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [6,5,1,4,3,2] => [1,1,2,1,1]
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [6,5,1,4,2,3] => [1,1,2,2]
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [6,5,3,1,4,2] => [1,1,1,2,1]
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [6,5,1,2,4,3] => [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]
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [6,5,1,3,2,4] => [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]
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [6,1,5,4,3,2] => [1,2,1,1,1]
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [6,1,5,4,2,3] => [1,2,1,2]
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [6,1,5,2,4,3] => [1,2,2,1]
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [6,1,5,3,2,4] => [1,2,1,2]
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [6,1,5,2,3,4] => [1,2,3]
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [6,4,1,5,3,2] => [1,1,2,1,1]
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [6,4,1,5,2,3] => [1,1,2,2]
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [6,1,2,5,4,3] => [1,3,1,1]
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [6,1,2,5,3,4] => [1,3,2]
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [6,4,3,1,5,2] => [1,1,1,2,1]
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [6,4,1,2,5,3] => [1,1,3,1]
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [6,1,4,2,5,3] => [1,2,2,1]
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [6,3,1,2,5,4] => [1,1,3,1]
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [6,1,2,3,5,4] => [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]
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [6,4,1,3,2,5] => [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]
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [6,1,4,3,2,5] => [1,2,1,2]
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [6,1,4,2,3,5] => [1,2,3]
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [6,3,1,4,2,5] => [1,1,2,2]
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [6,1,2,4,3,5] => [1,3,2]
>>> Load all 1819 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]
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [6,1,3,2,4,5] => [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]
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [1,6,5,4,3,2] => [2,1,1,1,1]
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [1,6,5,4,2,3] => [2,1,1,2]
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [1,6,5,2,4,3] => [2,1,2,1]
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [1,6,5,3,2,4] => [2,1,1,2]
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [1,6,5,2,3,4] => [2,1,3]
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [1,6,2,5,4,3] => [2,2,1,1]
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [1,6,2,5,3,4] => [2,2,2]
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [1,6,4,2,5,3] => [2,1,2,1]
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [1,6,2,3,5,4] => [2,3,1]
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [1,6,4,3,2,5] => [2,1,1,2]
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [1,6,4,2,3,5] => [2,1,3]
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [1,6,2,4,3,5] => [2,2,2]
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [1,6,3,2,4,5] => [2,1,3]
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [1,6,2,3,4,5] => [2,4]
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [5,1,6,4,3,2] => [1,2,1,1,1]
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,1,6,4,2,3] => [1,2,1,2]
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,1,6,2,4,3] => [1,2,2,1]
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,1,6,3,2,4] => [1,2,1,2]
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [5,1,6,2,3,4] => [1,2,3]
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [1,2,6,5,4,3] => [3,1,1,1]
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [1,2,6,5,3,4] => [3,1,2]
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [1,2,6,3,5,4] => [3,2,1]
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [1,2,6,4,3,5] => [3,1,2]
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [1,2,6,3,4,5] => [3,3]
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [5,4,1,6,3,2] => [1,1,2,1,1]
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,4,1,6,2,3] => [1,1,2,2]
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [5,1,2,6,4,3] => [1,3,1,1]
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [5,1,2,6,3,4] => [1,3,2]
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [1,5,2,6,4,3] => [2,2,1,1]
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [1,5,2,6,3,4] => [2,2,2]
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,1,2,6,5,3] => [1,3,1,1]
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,1,2,6,3,5] => [1,3,2]
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [1,2,3,6,5,4] => [4,1,1]
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [1,2,3,6,4,5] => [4,2]
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [5,4,3,1,6,2] => [1,1,1,2,1]
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [5,4,1,2,6,3] => [1,1,3,1]
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [5,1,4,2,6,3] => [1,2,2,1]
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [5,3,1,2,6,4] => [1,1,3,1]
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [5,1,2,3,6,4] => [1,4,1]
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [1,5,4,2,6,3] => [2,1,2,1]
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [1,5,2,3,6,4] => [2,3,1]
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,1,5,2,6,3] => [1,2,2,1]
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [1,2,5,3,6,4] => [3,2,1]
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [4,3,1,2,6,5] => [1,1,3,1]
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [4,1,2,3,6,5] => [1,4,1]
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [1,4,2,3,6,5] => [2,3,1]
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [3,1,2,4,6,5] => [1,4,1]
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => [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]
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [5,4,1,3,2,6] => [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]
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [5,1,4,3,2,6] => [1,2,1,2]
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [5,1,4,2,3,6] => [1,2,3]
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [5,3,1,4,2,6] => [1,1,2,2]
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [5,1,2,4,3,6] => [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]
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [5,1,3,2,4,6] => [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]
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [1,5,4,3,2,6] => [2,1,1,2]
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [1,5,4,2,3,6] => [2,1,3]
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [1,5,2,4,3,6] => [2,2,2]
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [1,5,3,2,4,6] => [2,1,3]
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [1,5,2,3,4,6] => [2,4]
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [4,1,5,3,2,6] => [1,2,1,2]
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [4,1,5,2,3,6] => [1,2,3]
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [1,2,5,4,3,6] => [3,1,2]
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [1,2,5,3,4,6] => [3,3]
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [4,3,1,5,2,6] => [1,1,2,2]
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [4,1,2,5,3,6] => [1,3,2]
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [1,4,2,5,3,6] => [2,2,2]
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [3,1,2,5,4,6] => [1,3,2]
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => [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]
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [4,1,3,2,5,6] => [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]
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [1,4,3,2,5,6] => [2,1,3]
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [1,4,2,3,5,6] => [2,4]
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [3,1,4,2,5,6] => [1,2,3]
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [1,2,4,3,5,6] => [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]
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => [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]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [7,6,5,4,1,3,2] => [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]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [7,6,5,1,4,3,2] => [1,1,1,2,1,1]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [7,6,5,1,4,2,3] => [1,1,1,2,2]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [7,6,5,3,1,4,2] => [1,1,1,1,2,1]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [7,6,5,1,2,4,3] => [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]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [7,6,5,1,3,2,4] => [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]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [7,6,1,5,4,3,2] => [1,1,2,1,1,1]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [7,6,1,5,4,2,3] => [1,1,2,1,2]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [7,6,1,5,2,4,3] => [1,1,2,2,1]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [7,6,1,5,3,2,4] => [1,1,2,1,2]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [7,6,1,5,2,3,4] => [1,1,2,3]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [7,6,4,1,5,3,2] => [1,1,1,2,1,1]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [7,6,4,1,5,2,3] => [1,1,1,2,2]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [7,6,1,2,5,4,3] => [1,1,3,1,1]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [7,6,1,2,5,3,4] => [1,1,3,2]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [7,6,4,3,1,5,2] => [1,1,1,1,2,1]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [7,6,4,1,2,5,3] => [1,1,1,3,1]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [7,6,1,4,2,5,3] => [1,1,2,2,1]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [7,6,3,1,2,5,4] => [1,1,1,3,1]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [7,6,1,2,3,5,4] => [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]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [7,6,4,1,3,2,5] => [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]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [7,6,1,4,3,2,5] => [1,1,2,1,2]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [7,6,1,4,2,3,5] => [1,1,2,3]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [7,6,3,1,4,2,5] => [1,1,1,2,2]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [7,6,1,2,4,3,5] => [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]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [7,6,1,3,2,4,5] => [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]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [7,1,6,5,4,3,2] => [1,2,1,1,1,1]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [7,1,6,5,4,2,3] => [1,2,1,1,2]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [7,1,6,5,2,4,3] => [1,2,1,2,1]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [7,1,6,5,3,2,4] => [1,2,1,1,2]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [7,1,6,5,2,3,4] => [1,2,1,3]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [7,1,6,2,5,4,3] => [1,2,2,1,1]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [7,1,6,2,5,3,4] => [1,2,2,2]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [7,1,6,4,2,5,3] => [1,2,1,2,1]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [7,1,6,2,3,5,4] => [1,2,3,1]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [7,1,6,4,3,2,5] => [1,2,1,1,2]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [7,1,6,4,2,3,5] => [1,2,1,3]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [7,1,6,2,4,3,5] => [1,2,2,2]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [7,1,6,3,2,4,5] => [1,2,1,3]
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [7,1,6,2,3,4,5] => [1,2,4]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [7,5,1,6,4,3,2] => [1,1,2,1,1,1]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [7,5,1,6,4,2,3] => [1,1,2,1,2]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [7,5,1,6,2,4,3] => [1,1,2,2,1]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [7,5,1,6,3,2,4] => [1,1,2,1,2]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [7,5,1,6,2,3,4] => [1,1,2,3]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [7,1,2,6,5,4,3] => [1,3,1,1,1]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [7,1,2,6,5,3,4] => [1,3,1,2]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [7,1,2,6,3,5,4] => [1,3,2,1]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [7,1,2,6,4,3,5] => [1,3,1,2]
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [7,1,2,6,3,4,5] => [1,3,3]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [7,5,4,1,6,3,2] => [1,1,1,2,1,1]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [7,5,4,1,6,2,3] => [1,1,1,2,2]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [7,5,1,2,6,4,3] => [1,1,3,1,1]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [7,5,1,2,6,3,4] => [1,1,3,2]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [7,1,5,2,6,4,3] => [1,2,2,1,1]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [7,1,5,2,6,3,4] => [1,2,2,2]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [7,4,1,2,6,5,3] => [1,1,3,1,1]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [7,4,1,2,6,3,5] => [1,1,3,2]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [7,1,2,3,6,5,4] => [1,4,1,1]
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [7,1,2,3,6,4,5] => [1,4,2]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [7,5,4,3,1,6,2] => [1,1,1,1,2,1]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [7,5,4,1,2,6,3] => [1,1,1,3,1]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [7,5,1,4,2,6,3] => [1,1,2,2,1]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [7,5,3,1,2,6,4] => [1,1,1,3,1]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [7,5,1,2,3,6,4] => [1,1,4,1]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [7,1,5,4,2,6,3] => [1,2,1,2,1]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [7,1,5,2,3,6,4] => [1,2,3,1]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [7,4,1,5,2,6,3] => [1,1,2,2,1]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [7,1,2,5,3,6,4] => [1,3,2,1]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [7,4,3,1,2,6,5] => [1,1,1,3,1]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [7,4,1,2,3,6,5] => [1,1,4,1]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [7,1,4,2,3,6,5] => [1,2,3,1]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [7,3,1,2,4,6,5] => [1,1,4,1]
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [7,1,2,3,4,6,5] => [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]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [7,5,4,1,3,2,6] => [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]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [7,5,1,4,3,2,6] => [1,1,2,1,2]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [7,5,1,4,2,3,6] => [1,1,2,3]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [7,5,3,1,4,2,6] => [1,1,1,2,2]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [7,5,1,2,4,3,6] => [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]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [7,5,1,3,2,4,6] => [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]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [7,1,5,4,3,2,6] => [1,2,1,1,2]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [7,1,5,4,2,3,6] => [1,2,1,3]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [7,1,5,2,4,3,6] => [1,2,2,2]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [7,1,5,3,2,4,6] => [1,2,1,3]
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [7,1,5,2,3,4,6] => [1,2,4]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [7,4,1,5,3,2,6] => [1,1,2,1,2]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [7,4,1,5,2,3,6] => [1,1,2,3]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [7,1,2,5,4,3,6] => [1,3,1,2]
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [7,1,2,5,3,4,6] => [1,3,3]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [7,4,3,1,5,2,6] => [1,1,1,2,2]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [7,4,1,2,5,3,6] => [1,1,3,2]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [7,1,4,2,5,3,6] => [1,2,2,2]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [7,3,1,2,5,4,6] => [1,1,3,2]
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [7,1,2,3,5,4,6] => [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]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [7,4,1,3,2,5,6] => [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]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [7,1,4,3,2,5,6] => [1,2,1,3]
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [7,1,4,2,3,5,6] => [1,2,4]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [7,3,1,4,2,5,6] => [1,1,2,3]
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [7,1,2,4,3,5,6] => [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]
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [7,1,3,2,4,5,6] => [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]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [1,7,6,5,4,3,2] => [2,1,1,1,1,1]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [1,7,6,5,4,2,3] => [2,1,1,1,2]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [1,7,6,5,2,4,3] => [2,1,1,2,1]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [1,7,6,5,3,2,4] => [2,1,1,1,2]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [1,7,6,5,2,3,4] => [2,1,1,3]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [1,7,6,2,5,4,3] => [2,1,2,1,1]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [1,7,6,2,5,3,4] => [2,1,2,2]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [1,7,6,4,2,5,3] => [2,1,1,2,1]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [1,7,6,2,3,5,4] => [2,1,3,1]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [1,7,6,4,3,2,5] => [2,1,1,1,2]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [1,7,6,4,2,3,5] => [2,1,1,3]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [1,7,6,2,4,3,5] => [2,1,2,2]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [1,7,6,3,2,4,5] => [2,1,1,3]
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [1,7,6,2,3,4,5] => [2,1,4]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [1,7,2,6,5,4,3] => [2,2,1,1,1]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [1,7,2,6,5,3,4] => [2,2,1,2]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [1,7,2,6,3,5,4] => [2,2,2,1]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [1,7,2,6,4,3,5] => [2,2,1,2]
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [1,7,2,6,3,4,5] => [2,2,3]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [1,7,5,2,6,4,3] => [2,1,2,1,1]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [1,7,5,2,6,3,4] => [2,1,2,2]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [1,7,2,3,6,5,4] => [2,3,1,1]
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [1,7,2,3,6,4,5] => [2,3,2]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [1,7,5,4,2,6,3] => [2,1,1,2,1]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [1,7,5,2,3,6,4] => [2,1,3,1]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [1,7,2,5,3,6,4] => [2,2,2,1]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [1,7,4,2,3,6,5] => [2,1,3,1]
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [1,7,2,3,4,6,5] => [2,4,1]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [1,7,5,4,3,2,6] => [2,1,1,1,2]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [1,7,5,4,2,3,6] => [2,1,1,3]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [1,7,5,2,4,3,6] => [2,1,2,2]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [1,7,5,3,2,4,6] => [2,1,1,3]
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [1,7,5,2,3,4,6] => [2,1,4]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [1,7,2,5,4,3,6] => [2,2,1,2]
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [1,7,2,5,3,4,6] => [2,2,3]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [1,7,4,2,5,3,6] => [2,1,2,2]
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [1,7,2,3,5,4,6] => [2,3,2]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [1,7,4,3,2,5,6] => [2,1,1,3]
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [1,7,4,2,3,5,6] => [2,1,4]
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [1,7,2,4,3,5,6] => [2,2,3]
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [1,7,3,2,4,5,6] => [2,1,4]
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [1,7,2,3,4,5,6] => [2,5]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [6,1,7,5,4,3,2] => [1,2,1,1,1,1]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [6,1,7,5,4,2,3] => [1,2,1,1,2]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [6,1,7,5,2,4,3] => [1,2,1,2,1]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [6,1,7,5,3,2,4] => [1,2,1,1,2]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [6,1,7,5,2,3,4] => [1,2,1,3]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [6,1,7,2,5,4,3] => [1,2,2,1,1]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [6,1,7,2,5,3,4] => [1,2,2,2]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [6,1,7,4,2,5,3] => [1,2,1,2,1]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [6,1,7,2,3,5,4] => [1,2,3,1]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [6,1,7,4,3,2,5] => [1,2,1,1,2]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [6,1,7,4,2,3,5] => [1,2,1,3]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [6,1,7,2,4,3,5] => [1,2,2,2]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [6,1,7,3,2,4,5] => [1,2,1,3]
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [6,1,7,2,3,4,5] => [1,2,4]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [1,2,7,6,5,4,3] => [3,1,1,1,1]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [1,2,7,6,5,3,4] => [3,1,1,2]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [1,2,7,6,3,5,4] => [3,1,2,1]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [1,2,7,6,4,3,5] => [3,1,1,2]
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [1,2,7,6,3,4,5] => [3,1,3]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [1,2,7,3,6,5,4] => [3,2,1,1]
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [1,2,7,3,6,4,5] => [3,2,2]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [1,2,7,5,3,6,4] => [3,1,2,1]
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [1,2,7,3,4,6,5] => [3,3,1]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [1,2,7,5,4,3,6] => [3,1,1,2]
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [1,2,7,5,3,4,6] => [3,1,3]
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [1,2,7,3,5,4,6] => [3,2,2]
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [1,2,7,4,3,5,6] => [3,1,3]
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [1,2,7,3,4,5,6] => [3,4]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [6,5,1,7,4,3,2] => [1,1,2,1,1,1]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [6,5,1,7,4,2,3] => [1,1,2,1,2]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [6,5,1,7,2,4,3] => [1,1,2,2,1]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [6,5,1,7,3,2,4] => [1,1,2,1,2]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [6,5,1,7,2,3,4] => [1,1,2,3]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [6,1,2,7,5,4,3] => [1,3,1,1,1]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [6,1,2,7,5,3,4] => [1,3,1,2]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [6,1,2,7,3,5,4] => [1,3,2,1]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [6,1,2,7,4,3,5] => [1,3,1,2]
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [6,1,2,7,3,4,5] => [1,3,3]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [1,6,2,7,5,4,3] => [2,2,1,1,1]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [1,6,2,7,5,3,4] => [2,2,1,2]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [1,6,2,7,3,5,4] => [2,2,2,1]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [1,6,2,7,4,3,5] => [2,2,1,2]
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [1,6,2,7,3,4,5] => [2,2,3]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [5,1,2,7,6,4,3] => [1,3,1,1,1]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [5,1,2,7,6,3,4] => [1,3,1,2]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [5,1,2,7,3,6,4] => [1,3,2,1]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [5,1,2,7,4,3,6] => [1,3,1,2]
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [5,1,2,7,3,4,6] => [1,3,3]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [1,2,3,7,6,5,4] => [4,1,1,1]
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [1,2,3,7,6,4,5] => [4,1,2]
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [1,2,3,7,4,6,5] => [4,2,1]
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [1,2,3,7,5,4,6] => [4,1,2]
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [1,2,3,7,4,5,6] => [4,3]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [6,5,4,1,7,3,2] => [1,1,1,2,1,1]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [6,5,4,1,7,2,3] => [1,1,1,2,2]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [6,5,1,2,7,4,3] => [1,1,3,1,1]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [6,5,1,2,7,3,4] => [1,1,3,2]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [6,1,5,2,7,4,3] => [1,2,2,1,1]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [6,1,5,2,7,3,4] => [1,2,2,2]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [6,4,1,2,7,5,3] => [1,1,3,1,1]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [6,4,1,2,7,3,5] => [1,1,3,2]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [6,1,2,3,7,5,4] => [1,4,1,1]
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [6,1,2,3,7,4,5] => [1,4,2]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [1,6,5,2,7,4,3] => [2,1,2,1,1]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [1,6,5,2,7,3,4] => [2,1,2,2]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [1,6,2,3,7,5,4] => [2,3,1,1]
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [1,6,2,3,7,4,5] => [2,3,2]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [5,1,6,2,7,4,3] => [1,2,2,1,1]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [5,1,6,2,7,3,4] => [1,2,2,2]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [1,2,6,3,7,5,4] => [3,2,1,1]
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [1,2,6,3,7,4,5] => [3,2,2]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [5,4,1,2,7,6,3] => [1,1,3,1,1]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [5,4,1,2,7,3,6] => [1,1,3,2]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [5,1,2,3,7,6,4] => [1,4,1,1]
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [5,1,2,3,7,4,6] => [1,4,2]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [1,5,2,3,7,6,4] => [2,3,1,1]
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [1,5,2,3,7,4,6] => [2,3,2]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [4,1,2,3,7,6,5] => [1,4,1,1]
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [4,1,2,3,7,5,6] => [1,4,2]
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [1,2,3,4,7,6,5] => [5,1,1]
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [1,2,3,4,7,5,6] => [5,2]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [6,5,4,3,1,7,2] => [1,1,1,1,2,1]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [6,5,4,1,2,7,3] => [1,1,1,3,1]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [6,5,1,4,2,7,3] => [1,1,2,2,1]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [6,5,3,1,2,7,4] => [1,1,1,3,1]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [6,5,1,2,3,7,4] => [1,1,4,1]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [6,1,5,4,2,7,3] => [1,2,1,2,1]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [6,1,5,2,3,7,4] => [1,2,3,1]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [6,4,1,5,2,7,3] => [1,1,2,2,1]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [6,1,2,5,3,7,4] => [1,3,2,1]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [6,4,3,1,2,7,5] => [1,1,1,3,1]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [6,4,1,2,3,7,5] => [1,1,4,1]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [6,1,4,2,3,7,5] => [1,2,3,1]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [6,3,1,2,4,7,5] => [1,1,4,1]
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [6,1,2,3,4,7,5] => [1,5,1]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [1,6,5,4,2,7,3] => [2,1,1,2,1]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [1,6,5,2,3,7,4] => [2,1,3,1]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [1,6,2,5,3,7,4] => [2,2,2,1]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [1,6,4,2,3,7,5] => [2,1,3,1]
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [1,6,2,3,4,7,5] => [2,4,1]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [5,1,6,4,2,7,3] => [1,2,1,2,1]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [5,1,6,2,3,7,4] => [1,2,3,1]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [1,2,6,5,3,7,4] => [3,1,2,1]
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [1,2,6,3,4,7,5] => [3,3,1]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [5,4,1,6,2,7,3] => [1,1,2,2,1]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [5,1,2,6,3,7,4] => [1,3,2,1]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [1,5,2,6,3,7,4] => [2,2,2,1]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [4,1,2,6,3,7,5] => [1,3,2,1]
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [1,2,3,6,4,7,5] => [4,2,1]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [5,4,3,1,2,7,6] => [1,1,1,3,1]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [5,4,1,2,3,7,6] => [1,1,4,1]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [5,1,4,2,3,7,6] => [1,2,3,1]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [5,3,1,2,4,7,6] => [1,1,4,1]
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [5,1,2,3,4,7,6] => [1,5,1]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [1,5,4,2,3,7,6] => [2,1,3,1]
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [1,5,2,3,4,7,6] => [2,4,1]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,1,5,2,3,7,6] => [1,2,3,1]
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [1,2,5,3,4,7,6] => [3,3,1]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [4,3,1,2,5,7,6] => [1,1,4,1]
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [4,1,2,3,5,7,6] => [1,5,1]
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [1,4,2,3,5,7,6] => [2,4,1]
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [3,1,2,4,5,7,6] => [1,5,1]
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [1,2,3,4,5,7,6] => [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]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [6,5,4,1,3,2,7] => [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]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [6,5,1,4,3,2,7] => [1,1,2,1,2]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [6,5,1,4,2,3,7] => [1,1,2,3]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [6,5,3,1,4,2,7] => [1,1,1,2,2]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [6,5,1,2,4,3,7] => [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]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [6,5,1,3,2,4,7] => [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]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [6,1,5,4,3,2,7] => [1,2,1,1,2]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [6,1,5,4,2,3,7] => [1,2,1,3]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [6,1,5,2,4,3,7] => [1,2,2,2]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [6,1,5,3,2,4,7] => [1,2,1,3]
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [6,1,5,2,3,4,7] => [1,2,4]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [6,4,1,5,3,2,7] => [1,1,2,1,2]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [6,4,1,5,2,3,7] => [1,1,2,3]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [6,1,2,5,4,3,7] => [1,3,1,2]
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [6,1,2,5,3,4,7] => [1,3,3]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [6,4,3,1,5,2,7] => [1,1,1,2,2]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [6,4,1,2,5,3,7] => [1,1,3,2]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [6,1,4,2,5,3,7] => [1,2,2,2]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [6,3,1,2,5,4,7] => [1,1,3,2]
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [6,1,2,3,5,4,7] => [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]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [6,4,1,3,2,5,7] => [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]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [6,1,4,3,2,5,7] => [1,2,1,3]
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [6,1,4,2,3,5,7] => [1,2,4]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [6,3,1,4,2,5,7] => [1,1,2,3]
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [6,1,2,4,3,5,7] => [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]
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [6,1,3,2,4,5,7] => [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]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [1,6,5,4,3,2,7] => [2,1,1,1,2]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [1,6,5,4,2,3,7] => [2,1,1,3]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [1,6,5,2,4,3,7] => [2,1,2,2]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [1,6,5,3,2,4,7] => [2,1,1,3]
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [1,6,5,2,3,4,7] => [2,1,4]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [1,6,2,5,4,3,7] => [2,2,1,2]
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [1,6,2,5,3,4,7] => [2,2,3]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [1,6,4,2,5,3,7] => [2,1,2,2]
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [1,6,2,3,5,4,7] => [2,3,2]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [1,6,4,3,2,5,7] => [2,1,1,3]
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [1,6,4,2,3,5,7] => [2,1,4]
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [1,6,2,4,3,5,7] => [2,2,3]
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [1,6,3,2,4,5,7] => [2,1,4]
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [1,6,2,3,4,5,7] => [2,5]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [5,1,6,4,3,2,7] => [1,2,1,1,2]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [5,1,6,4,2,3,7] => [1,2,1,3]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [5,1,6,2,4,3,7] => [1,2,2,2]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [5,1,6,3,2,4,7] => [1,2,1,3]
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [5,1,6,2,3,4,7] => [1,2,4]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [1,2,6,5,4,3,7] => [3,1,1,2]
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [1,2,6,5,3,4,7] => [3,1,3]
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [1,2,6,3,5,4,7] => [3,2,2]
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [1,2,6,4,3,5,7] => [3,1,3]
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [1,2,6,3,4,5,7] => [3,4]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [5,4,1,6,3,2,7] => [1,1,2,1,2]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [5,4,1,6,2,3,7] => [1,1,2,3]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [5,1,2,6,4,3,7] => [1,3,1,2]
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [5,1,2,6,3,4,7] => [1,3,3]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [1,5,2,6,4,3,7] => [2,2,1,2]
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [1,5,2,6,3,4,7] => [2,2,3]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [4,1,2,6,5,3,7] => [1,3,1,2]
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [4,1,2,6,3,5,7] => [1,3,3]
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [1,2,3,6,5,4,7] => [4,1,2]
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [1,2,3,6,4,5,7] => [4,3]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [5,4,3,1,6,2,7] => [1,1,1,2,2]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [5,4,1,2,6,3,7] => [1,1,3,2]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [5,1,4,2,6,3,7] => [1,2,2,2]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [5,3,1,2,6,4,7] => [1,1,3,2]
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [5,1,2,3,6,4,7] => [1,4,2]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [1,5,4,2,6,3,7] => [2,1,2,2]
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [1,5,2,3,6,4,7] => [2,3,2]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [4,1,5,2,6,3,7] => [1,2,2,2]
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [1,2,5,3,6,4,7] => [3,2,2]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [4,3,1,2,6,5,7] => [1,1,3,2]
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [4,1,2,3,6,5,7] => [1,4,2]
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [1,4,2,3,6,5,7] => [2,3,2]
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [3,1,2,4,6,5,7] => [1,4,2]
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [1,2,3,4,6,5,7] => [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]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [5,4,1,3,2,6,7] => [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]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [5,1,4,3,2,6,7] => [1,2,1,3]
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [5,1,4,2,3,6,7] => [1,2,4]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [5,3,1,4,2,6,7] => [1,1,2,3]
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [5,1,2,4,3,6,7] => [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]
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [5,1,3,2,4,6,7] => [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]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [1,5,4,3,2,6,7] => [2,1,1,3]
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [1,5,4,2,3,6,7] => [2,1,4]
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [1,5,2,4,3,6,7] => [2,2,3]
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [1,5,3,2,4,6,7] => [2,1,4]
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [1,5,2,3,4,6,7] => [2,5]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [4,1,5,3,2,6,7] => [1,2,1,3]
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [4,1,5,2,3,6,7] => [1,2,4]
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [1,2,5,4,3,6,7] => [3,1,3]
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [1,2,5,3,4,6,7] => [3,4]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [4,3,1,5,2,6,7] => [1,1,2,3]
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [4,1,2,5,3,6,7] => [1,3,3]
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [1,4,2,5,3,6,7] => [2,2,3]
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [3,1,2,5,4,6,7] => [1,3,3]
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [1,2,3,5,4,6,7] => [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]
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [4,1,3,2,5,6,7] => [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]
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [1,4,3,2,5,6,7] => [2,1,4]
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [1,4,2,3,5,6,7] => [2,5]
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [3,1,4,2,5,6,7] => [1,2,4]
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [1,2,4,3,5,6,7] => [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]
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => [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]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [8,7,6,5,4,1,3,2] => [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]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [8,7,6,5,1,4,3,2] => [1,1,1,1,2,1,1]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [8,7,6,5,1,4,2,3] => [1,1,1,1,2,2]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [8,7,6,5,3,1,4,2] => [1,1,1,1,1,2,1]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [8,7,6,5,1,2,4,3] => [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]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [8,7,6,5,1,3,2,4] => [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]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [8,7,6,1,5,4,3,2] => [1,1,1,2,1,1,1]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [8,7,6,1,5,4,2,3] => [1,1,1,2,1,2]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [8,7,6,1,5,2,4,3] => [1,1,1,2,2,1]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [7,6,8,4,5,3,2,1] => [8,7,6,1,5,3,2,4] => [1,1,1,2,1,2]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [6,7,8,4,5,3,2,1] => [8,7,6,1,5,2,3,4] => [1,1,1,2,3]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [8,7,5,4,6,3,2,1] => [8,7,6,4,1,5,3,2] => [1,1,1,1,2,1,1]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [8,7,6,1,2,5,4,3] => [1,1,1,3,1,1]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [8,7,6,4,3,1,5,2] => [1,1,1,1,1,2,1]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [8,5,6,4,7,3,2,1] => [8,7,6,4,1,2,5,3] => [1,1,1,1,3,1]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [8,6,4,5,7,3,2,1] => [8,7,6,1,4,2,5,3] => [1,1,1,2,2,1]
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [8,5,4,6,7,3,2,1] => [8,7,6,3,1,2,5,4] => [1,1,1,1,3,1]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [8,7,6,1,2,3,5,4] => [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]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [8,7,6,4,1,3,2,5] => [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]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [7,6,4,5,8,3,2,1] => [8,7,6,1,4,3,2,5] => [1,1,1,2,1,2]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [6,7,4,5,8,3,2,1] => [8,7,6,1,4,2,3,5] => [1,1,1,2,3]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [7,5,4,6,8,3,2,1] => [8,7,6,3,1,4,2,5] => [1,1,1,1,2,2]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [8,7,6,1,2,4,3,5] => [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]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [8,7,6,1,3,2,4,5] => [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]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [8,7,1,6,5,4,3,2] => [1,1,2,1,1,1,1]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [8,7,1,6,5,4,2,3] => [1,1,2,1,1,2]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [8,7,1,6,5,2,4,3] => [1,1,2,1,2,1]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [8,7,1,6,5,3,2,4] => [1,1,2,1,1,2]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [8,7,1,6,2,5,4,3] => [1,1,2,2,1,1]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [8,7,1,6,2,5,3,4] => [1,1,2,2,2]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [8,5,6,7,3,4,2,1] => [8,7,1,6,2,3,5,4] => [1,1,2,3,1]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [7,6,5,8,3,4,2,1] => [8,7,1,6,4,3,2,5] => [1,1,2,1,1,2]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [6,7,5,8,3,4,2,1] => [8,7,1,6,4,2,3,5] => [1,1,2,1,3]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [8,7,1,6,3,2,4,5] => [1,1,2,1,3]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [8,7,1,6,2,3,4,5] => [1,1,2,4]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [8,7,6,4,3,5,2,1] => [8,7,5,1,6,4,3,2] => [1,1,1,2,1,1,1]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [7,8,6,4,3,5,2,1] => [8,7,5,1,6,4,2,3] => [1,1,1,2,1,2]
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [8,7,5,1,6,2,4,3] => [1,1,1,2,2,1]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [7,6,8,4,3,5,2,1] => [8,7,5,1,6,3,2,4] => [1,1,1,2,1,2]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [8,7,5,1,6,2,3,4] => [1,1,1,2,3]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [8,7,1,2,6,5,4,3] => [1,1,3,1,1,1]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [7,8,6,3,4,5,2,1] => [8,7,1,2,6,5,3,4] => [1,1,3,1,2]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [7,6,8,3,4,5,2,1] => [8,7,1,2,6,4,3,5] => [1,1,3,1,2]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [8,7,1,2,6,3,4,5] => [1,1,3,3]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [8,7,5,4,1,6,3,2] => [1,1,1,1,2,1,1]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [8,7,5,4,1,6,2,3] => [1,1,1,1,2,2]
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [8,7,4,5,3,6,2,1] => [8,7,5,1,2,6,4,3] => [1,1,1,3,1,1]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [7,8,5,3,4,6,2,1] => [8,7,1,5,2,6,3,4] => [1,1,2,2,2]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [8,7,4,1,2,6,5,3] => [1,1,1,3,1,1]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [8,7,1,2,3,6,5,4] => [1,1,4,1,1]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [7,8,3,4,5,6,2,1] => [8,7,1,2,3,6,4,5] => [1,1,4,2]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [8,7,5,4,3,1,6,2] => [1,1,1,1,1,2,1]
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [8,6,4,5,3,7,2,1] => [8,7,5,1,4,2,6,3] => [1,1,1,2,2,1]
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [8,5,4,6,3,7,2,1] => [8,7,5,3,1,2,6,4] => [1,1,1,1,3,1]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [8,7,4,1,5,2,6,3] => [1,1,1,2,2,1]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [8,7,4,3,1,2,6,5] => [1,1,1,1,3,1]
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [8,5,3,4,6,7,2,1] => [8,7,1,4,2,3,6,5] => [1,1,2,3,1]
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [8,4,3,5,6,7,2,1] => [8,7,3,1,2,4,6,5] => [1,1,1,4,1]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [8,7,1,2,3,4,6,5] => [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]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [7,5,6,4,3,8,2,1] => [8,7,5,4,1,3,2,6] => [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]
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [7,6,4,5,3,8,2,1] => [8,7,5,1,4,3,2,6] => [1,1,1,2,1,2]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [6,7,4,5,3,8,2,1] => [8,7,5,1,4,2,3,6] => [1,1,1,2,3]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [8,7,5,3,1,4,2,6] => [1,1,1,1,2,2]
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [7,4,5,6,3,8,2,1] => [8,7,5,1,2,4,3,6] => [1,1,1,3,2]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [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]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [7,6,5,3,4,8,2,1] => [8,7,1,5,4,3,2,6] => [1,1,2,1,1,2]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [7,6,3,4,5,8,2,1] => [8,7,1,2,5,4,3,6] => [1,1,3,1,2]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [7,5,4,3,6,8,2,1] => [8,7,4,3,1,5,2,6] => [1,1,1,1,2,2]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [7,5,3,4,6,8,2,1] => [8,7,1,4,2,5,3,6] => [1,1,2,2,2]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [8,7,1,2,3,5,4,6] => [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]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [6,5,3,4,7,8,2,1] => [8,7,1,4,3,2,5,6] => [1,1,2,1,3]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [8,7,1,2,4,3,5,6] => [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]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [5,3,4,6,7,8,2,1] => [8,7,1,3,2,4,5,6] => [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]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [8,1,7,6,5,4,3,2] => [1,2,1,1,1,1,1]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [8,1,7,6,5,4,2,3] => [1,2,1,1,1,2]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [8,1,7,6,5,2,4,3] => [1,2,1,1,2,1]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [8,1,7,6,5,3,2,4] => [1,2,1,1,1,2]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [8,1,7,6,2,5,4,3] => [1,2,1,2,1,1]
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,2,3,1] => [8,1,7,6,4,2,5,3] => [1,2,1,1,2,1]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,2,3,1] => [8,1,7,6,2,3,5,4] => [1,2,1,3,1]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,2,3,1] => [8,1,7,6,4,3,2,5] => [1,2,1,1,1,2]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [8,1,7,6,4,2,3,5] => [1,2,1,1,3]
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,2,3,1] => [8,1,7,6,2,4,3,5] => [1,2,1,2,2]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [8,1,7,6,2,3,4,5] => [1,2,1,4]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [8,1,7,2,6,5,4,3] => [1,2,2,1,1,1]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [8,1,7,2,6,3,5,4] => [1,2,2,2,1]
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,2,3,1] => [8,1,7,2,6,4,3,5] => [1,2,2,1,2]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,2,3,1] => [8,1,7,2,6,3,4,5] => [1,2,2,3]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [8,1,7,5,2,6,4,3] => [1,2,1,2,1,1]
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,2,3,1] => [8,1,7,2,3,6,5,4] => [1,2,3,1,1]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [8,1,7,2,3,6,4,5] => [1,2,3,2]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [8,6,5,4,7,2,3,1] => [8,1,7,5,4,2,6,3] => [1,2,1,1,2,1]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [8,1,7,5,2,3,6,4] => [1,2,1,3,1]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,2,3,1] => [8,1,7,2,5,3,6,4] => [1,2,2,2,1]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [8,4,5,6,7,2,3,1] => [8,1,7,2,3,4,6,5] => [1,2,4,1]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,2,3,1] => [8,1,7,5,4,3,2,6] => [1,2,1,1,1,2]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [8,1,7,5,2,4,3,6] => [1,2,1,2,2]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [8,1,7,5,3,2,4,6] => [1,2,1,1,3]
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,2,3,1] => [8,1,7,2,5,4,3,6] => [1,2,2,1,2]
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,2,3,1] => [8,1,7,2,5,3,4,6] => [1,2,2,3]
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [8,1,7,2,3,4,5,6] => [1,2,5]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [8,6,1,7,5,4,3,2] => [1,1,2,1,1,1,1]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,2,4,1] => [8,6,1,7,5,4,2,3] => [1,1,2,1,1,2]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,2,4,1] => [8,6,1,7,5,2,4,3] => [1,1,2,1,2,1]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [8,6,1,7,5,3,2,4] => [1,1,2,1,1,2]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [8,6,1,7,5,2,3,4] => [1,1,2,1,3]
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [8,6,1,7,2,5,4,3] => [1,1,2,2,1,1]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [8,6,1,7,4,2,5,3] => [1,1,2,1,2,1]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,2,4,1] => [8,6,1,7,2,3,5,4] => [1,1,2,3,1]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [8,6,1,7,4,3,2,5] => [1,1,2,1,1,2]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [8,6,1,7,4,2,3,5] => [1,1,2,1,3]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [8,6,1,7,2,3,4,5] => [1,1,2,4]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [8,1,2,7,6,5,4,3] => [1,3,1,1,1,1]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,2,3,4,1] => [8,1,2,7,6,3,5,4] => [1,3,1,2,1]
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,2,3,4,1] => [8,1,2,7,6,4,3,5] => [1,3,1,1,2]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [8,1,2,7,6,3,4,5] => [1,3,1,3]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,2,3,4,1] => [8,1,2,7,3,6,5,4] => [1,3,2,1,1]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [7,8,5,6,2,3,4,1] => [8,1,2,7,3,6,4,5] => [1,3,2,2]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [8,1,2,7,3,4,6,5] => [1,3,3,1]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,2,3,4,1] => [8,1,2,7,5,4,3,6] => [1,3,1,1,2]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [6,7,5,8,2,3,4,1] => [8,1,2,7,5,3,4,6] => [1,3,1,3]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [8,1,2,7,3,4,5,6] => [1,3,4]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [8,7,6,4,3,2,5,1] => [8,6,5,1,7,4,3,2] => [1,1,1,2,1,1,1]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [7,8,6,4,3,2,5,1] => [8,6,5,1,7,4,2,3] => [1,1,1,2,1,2]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [8,6,7,4,3,2,5,1] => [8,6,5,1,7,2,4,3] => [1,1,1,2,2,1]
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [8,6,5,1,7,3,2,4] => [1,1,1,2,1,2]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [6,7,8,4,3,2,5,1] => [8,6,5,1,7,2,3,4] => [1,1,1,2,3]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [8,6,1,2,7,5,4,3] => [1,1,3,1,1,1]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [7,8,6,3,4,2,5,1] => [8,6,1,2,7,5,3,4] => [1,1,3,1,2]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [8,6,1,2,7,3,5,4] => [1,1,3,2,1]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [8,6,1,2,7,4,3,5] => [1,1,3,1,2]
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [8,6,1,2,7,3,4,5] => [1,1,3,3]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,2,3,5,1] => [8,1,6,2,7,5,4,3] => [1,2,2,1,1,1]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,2,3,5,1] => [8,1,6,2,7,3,5,4] => [1,2,2,2,1]
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,2,3,5,1] => [8,1,6,2,7,4,3,5] => [1,2,2,1,2]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [8,1,6,2,7,3,4,5] => [1,2,2,3]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [8,5,1,2,7,6,4,3] => [1,1,3,1,1,1]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [8,5,1,2,7,6,3,4] => [1,1,3,1,2]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [8,5,1,2,7,3,4,6] => [1,1,3,3]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [8,7,6,2,3,4,5,1] => [8,1,2,3,7,6,5,4] => [1,4,1,1,1]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [7,8,6,2,3,4,5,1] => [8,1,2,3,7,6,4,5] => [1,4,1,2]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [8,1,2,3,7,4,6,5] => [1,4,2,1]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [7,6,8,2,3,4,5,1] => [8,1,2,3,7,5,4,6] => [1,4,1,2]
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [8,1,2,3,7,4,5,6] => [1,4,3]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [8,6,5,4,1,7,3,2] => [1,1,1,1,2,1,1]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [8,6,5,4,1,7,2,3] => [1,1,1,1,2,2]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [8,6,1,5,2,7,4,3] => [1,1,2,2,1,1]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [8,6,1,5,2,7,3,4] => [1,1,2,2,2]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [8,6,4,1,2,7,5,3] => [1,1,1,3,1,1]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [7,8,4,3,5,2,6,1] => [8,6,4,1,2,7,3,5] => [1,1,1,3,2]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [8,7,5,4,2,3,6,1] => [8,1,6,5,2,7,4,3] => [1,2,1,2,1,1]
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [8,7,5,3,2,4,6,1] => [8,5,1,6,2,7,4,3] => [1,1,2,2,1,1]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [8,7,4,3,2,5,6,1] => [8,5,4,1,2,7,6,3] => [1,1,1,3,1,1]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [7,8,4,3,2,5,6,1] => [8,5,4,1,2,7,3,6] => [1,1,1,3,2]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [7,8,3,4,2,5,6,1] => [8,5,1,2,3,7,4,6] => [1,1,4,2]
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [7,8,4,2,3,5,6,1] => [8,1,5,2,3,7,4,6] => [1,2,3,2]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [8,4,1,2,3,7,5,6] => [1,1,4,2]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [8,1,2,3,4,7,6,5] => [1,5,1,1]
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [8,1,2,3,4,7,5,6] => [1,5,2]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [8,6,5,4,3,1,7,2] => [1,1,1,1,1,2,1]
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [8,5,6,4,3,2,7,1] => [8,6,5,4,1,2,7,3] => [1,1,1,1,3,1]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [8,6,4,5,3,2,7,1] => [8,6,5,1,4,2,7,3] => [1,1,1,2,2,1]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [8,6,5,3,1,2,7,4] => [1,1,1,1,3,1]
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [8,6,5,3,4,2,7,1] => [8,6,1,5,4,2,7,3] => [1,1,2,1,2,1]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [8,6,1,5,2,3,7,4] => [1,1,2,3,1]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [8,6,4,1,5,2,7,3] => [1,1,1,2,2,1]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [8,6,3,4,5,2,7,1] => [8,6,1,2,5,3,7,4] => [1,1,3,2,1]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [8,6,4,3,1,2,7,5] => [1,1,1,1,3,1]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [8,6,4,1,2,3,7,5] => [1,1,1,4,1]
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [8,4,3,5,6,2,7,1] => [8,6,3,1,2,4,7,5] => [1,1,1,4,1]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [8,6,1,2,3,4,7,5] => [1,1,5,1]
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [8,5,6,4,2,3,7,1] => [8,1,6,5,2,3,7,4] => [1,2,1,3,1]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [8,6,4,5,2,3,7,1] => [8,1,6,2,5,3,7,4] => [1,2,2,2,1]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [8,6,5,3,2,4,7,1] => [8,5,1,6,4,2,7,3] => [1,1,2,1,2,1]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [8,6,4,3,2,5,7,1] => [8,5,4,1,6,2,7,3] => [1,1,1,2,2,1]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [8,1,5,2,6,3,7,4] => [1,2,2,2,1]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [8,1,2,3,6,4,7,5] => [1,4,2,1]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [8,5,4,3,1,2,7,6] => [1,1,1,1,3,1]
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [8,4,5,3,2,6,7,1] => [8,5,4,1,2,3,7,6] => [1,1,1,4,1]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [8,5,1,4,2,3,7,6] => [1,1,2,3,1]
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [8,5,1,2,3,4,7,6] => [1,1,5,1]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [8,5,4,2,3,6,7,1] => [8,1,5,4,2,3,7,6] => [1,2,1,3,1]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [8,4,5,2,3,6,7,1] => [8,1,5,2,3,4,7,6] => [1,2,4,1]
[.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [8,5,2,3,4,6,7,1] => [8,1,2,5,3,4,7,6] => [1,3,3,1]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [8,4,3,2,5,6,7,1] => [8,4,3,1,2,5,7,6] => [1,1,1,4,1]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [8,4,2,3,5,6,7,1] => [8,1,4,2,3,5,7,6] => [1,2,4,1]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [8,3,1,2,4,5,7,6] => [1,1,5,1]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [8,1,2,3,4,5,7,6] => [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]
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [7,5,6,4,3,2,8,1] => [8,6,5,4,1,3,2,7] => [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]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [8,6,5,1,4,3,2,7] => [1,1,1,2,1,2]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [6,7,4,5,3,2,8,1] => [8,6,5,1,4,2,3,7] => [1,1,1,2,3]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [7,4,5,6,3,2,8,1] => [8,6,5,1,2,4,3,7] => [1,1,1,3,2]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [8,6,5,3,2,1,4,7] => [1,1,1,1,1,3]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [6,4,5,7,3,2,8,1] => [8,6,5,1,3,2,4,7] => [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]
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [7,6,5,3,4,2,8,1] => [8,6,1,5,4,3,2,7] => [1,1,2,1,1,2]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [8,6,1,5,2,4,3,7] => [1,1,2,2,2]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [8,6,1,5,3,2,4,7] => [1,1,2,1,3]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [5,6,7,3,4,2,8,1] => [8,6,1,5,2,3,4,7] => [1,1,2,4]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [7,6,4,3,5,2,8,1] => [8,6,4,1,5,3,2,7] => [1,1,1,2,1,2]
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [7,6,3,4,5,2,8,1] => [8,6,1,2,5,4,3,7] => [1,1,3,1,2]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [8,6,4,3,1,5,2,7] => [1,1,1,1,2,2]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [8,6,4,1,2,5,3,7] => [1,1,1,3,2]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [7,5,3,4,6,2,8,1] => [8,6,1,4,2,5,3,7] => [1,1,2,2,2]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [7,3,4,5,6,2,8,1] => [8,6,1,2,3,5,4,7] => [1,1,4,2]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [8,6,4,3,2,1,5,7] => [1,1,1,1,1,3]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [8,6,4,1,3,2,5,7] => [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]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [8,6,1,4,3,2,5,7] => [1,1,2,1,3]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [8,6,1,4,2,3,5,7] => [1,1,2,4]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [8,6,3,1,4,2,5,7] => [1,1,1,2,3]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [6,3,4,5,7,2,8,1] => [8,6,1,2,4,3,5,7] => [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]
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [8,6,1,2,3,4,5,7] => [1,1,6]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [8,1,6,5,4,3,2,7] => [1,2,1,1,1,2]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [8,1,6,5,4,2,3,7] => [1,2,1,1,3]
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,2,3,8,1] => [8,1,6,5,2,4,3,7] => [1,2,1,2,2]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,2,3,8,1] => [8,1,6,5,3,2,4,7] => [1,2,1,1,3]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [5,6,7,4,2,3,8,1] => [8,1,6,5,2,3,4,7] => [1,2,1,4]
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,2,3,8,1] => [8,1,6,2,5,4,3,7] => [1,2,2,1,2]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [8,1,6,2,5,3,4,7] => [1,2,2,3]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,2,3,8,1] => [8,1,6,4,2,5,3,7] => [1,2,1,2,2]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [7,4,5,6,2,3,8,1] => [8,1,6,2,3,5,4,7] => [1,2,3,2]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,2,3,8,1] => [8,1,6,4,3,2,5,7] => [1,2,1,1,3]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [5,6,4,7,2,3,8,1] => [8,1,6,4,2,3,5,7] => [1,2,1,4]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [8,1,6,2,4,3,5,7] => [1,2,2,3]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [8,1,6,3,2,4,5,7] => [1,2,1,4]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [8,1,6,2,3,4,5,7] => [1,2,5]
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [7,6,5,3,2,4,8,1] => [8,5,1,6,4,3,2,7] => [1,1,2,1,1,2]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [6,7,5,3,2,4,8,1] => [8,5,1,6,4,2,3,7] => [1,1,2,1,3]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [6,5,7,3,2,4,8,1] => [8,5,1,6,3,2,4,7] => [1,1,2,1,3]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [8,1,2,6,5,4,3,7] => [1,3,1,1,2]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [7,5,6,2,3,4,8,1] => [8,1,2,6,3,5,4,7] => [1,3,2,2]
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [8,1,2,6,3,4,5,7] => [1,3,4]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [8,5,4,1,6,2,3,7] => [1,1,1,2,3]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [7,6,4,2,3,5,8,1] => [8,1,5,2,6,4,3,7] => [1,2,2,1,2]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [8,4,1,2,6,5,3,7] => [1,1,3,1,2]
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [8,4,1,2,6,3,5,7] => [1,1,3,3]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [7,6,2,3,4,5,8,1] => [8,1,2,3,6,5,4,7] => [1,4,1,2]
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [8,1,2,3,6,4,5,7] => [1,4,3]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [7,4,3,5,2,6,8,1] => [8,5,3,1,2,6,4,7] => [1,1,1,3,2]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [8,1,5,4,2,6,3,7] => [1,2,1,2,2]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [8,4,1,5,2,6,3,7] => [1,1,2,2,2]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [7,5,2,3,4,6,8,1] => [8,1,2,5,3,6,4,7] => [1,3,2,2]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [7,4,3,2,5,6,8,1] => [8,4,3,1,2,6,5,7] => [1,1,1,3,2]
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [7,4,2,3,5,6,8,1] => [8,1,4,2,3,6,5,7] => [1,2,3,2]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [8,3,1,2,4,6,5,7] => [1,1,4,2]
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [8,1,2,3,4,6,5,7] => [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]
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [6,5,3,4,2,7,8,1] => [8,5,1,4,3,2,6,7] => [1,1,2,1,3]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [8,5,1,2,4,3,6,7] => [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]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [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]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [6,5,4,2,3,7,8,1] => [8,1,5,4,3,2,6,7] => [1,2,1,1,3]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [5,6,4,2,3,7,8,1] => [8,1,5,4,2,3,6,7] => [1,2,1,4]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [6,4,5,2,3,7,8,1] => [8,1,5,2,4,3,6,7] => [1,2,2,3]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [5,4,6,2,3,7,8,1] => [8,1,5,3,2,4,6,7] => [1,2,1,4]
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [4,5,6,2,3,7,8,1] => [8,1,5,2,3,4,6,7] => [1,2,5]
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [6,5,3,2,4,7,8,1] => [8,4,1,5,3,2,6,7] => [1,1,2,1,3]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [6,5,2,3,4,7,8,1] => [8,1,2,5,4,3,6,7] => [1,3,1,3]
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [5,6,2,3,4,7,8,1] => [8,1,2,5,3,4,6,7] => [1,3,4]
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [8,1,2,3,5,4,6,7] => [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]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [8,4,1,3,2,5,6,7] => [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]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [5,4,2,3,6,7,8,1] => [8,1,4,3,2,5,6,7] => [1,2,1,4]
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [4,5,2,3,6,7,8,1] => [8,1,4,2,3,5,6,7] => [1,2,5]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [5,3,2,4,6,7,8,1] => [8,3,1,4,2,5,6,7] => [1,1,2,4]
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [8,1,2,4,3,5,6,7] => [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]
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [8,1,3,2,4,5,6,7] => [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]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [1,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [1,8,7,6,5,4,2,3] => [2,1,1,1,1,2]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [1,8,7,6,5,2,4,3] => [2,1,1,1,2,1]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,3,1,2] => [1,8,7,6,5,3,2,4] => [2,1,1,1,1,2]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [1,8,7,6,5,2,3,4] => [2,1,1,1,3]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [1,8,7,6,2,5,4,3] => [2,1,1,2,1,1]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [1,8,7,6,4,2,5,3] => [2,1,1,1,2,1]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,3,1,2] => [1,8,7,6,4,3,2,5] => [2,1,1,1,1,2]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,3,1,2] => [1,8,7,6,4,2,3,5] => [2,1,1,1,3]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,3,1,2] => [1,8,7,6,2,4,3,5] => [2,1,1,2,2]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [1,8,7,6,3,2,4,5] => [2,1,1,1,3]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [1,8,7,6,2,3,4,5] => [2,1,1,4]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [1,8,7,2,6,5,4,3] => [2,1,2,1,1,1]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [1,8,7,2,6,5,3,4] => [2,1,2,1,2]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [1,8,7,2,6,3,5,4] => [2,1,2,2,1]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,3,1,2] => [1,8,7,2,6,3,4,5] => [2,1,2,3]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [1,8,7,5,2,6,4,3] => [2,1,1,2,1,1]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,3,1,2] => [1,8,7,2,3,6,4,5] => [2,1,3,2]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,3,1,2] => [1,8,7,5,2,3,6,4] => [2,1,1,3,1]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,3,1,2] => [1,8,7,2,5,3,6,4] => [2,1,2,2,1]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [8,5,4,6,7,3,1,2] => [1,8,7,4,2,3,6,5] => [2,1,1,3,1]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,3,1,2] => [1,8,7,5,4,3,2,6] => [2,1,1,1,1,2]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,3,1,2] => [1,8,7,5,3,2,4,6] => [2,1,1,1,3]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,3,1,2] => [1,8,7,2,5,4,3,6] => [2,1,2,1,2]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,3,1,2] => [1,8,7,2,5,3,4,6] => [2,1,2,3]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,3,1,2] => [1,8,7,4,3,2,5,6] => [2,1,1,1,3]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,3,1,2] => [1,8,7,4,2,3,5,6] => [2,1,1,4]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,3,1,2] => [1,8,7,3,2,4,5,6] => [2,1,1,4]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [1,8,7,2,3,4,5,6] => [2,1,5]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [1,8,2,7,6,5,4,3] => [2,2,1,1,1,1]
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,4,1,2] => [1,8,2,7,6,4,3,5] => [2,2,1,1,2]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [1,8,2,7,6,3,4,5] => [2,2,1,3]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [1,8,2,7,3,6,5,4] => [2,2,2,1,1]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [1,8,2,7,3,6,4,5] => [2,2,2,2]
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,4,1,2] => [1,8,2,7,5,3,6,4] => [2,2,1,2,1]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [1,8,2,7,3,4,6,5] => [2,2,3,1]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [1,8,2,7,5,4,3,6] => [2,2,1,1,2]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [1,8,2,7,5,3,4,6] => [2,2,1,3]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [1,8,2,7,3,5,4,6] => [2,2,2,2]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [1,8,2,7,4,3,5,6] => [2,2,1,3]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [1,8,2,7,3,4,5,6] => [2,2,4]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [6,7,8,4,3,5,1,2] => [1,8,6,2,7,3,4,5] => [2,1,2,3]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [1,8,2,3,7,6,5,4] => [2,3,1,1,1]
[[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [7,8,6,3,4,5,1,2] => [1,8,2,3,7,6,4,5] => [2,3,1,2]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [1,8,2,3,7,4,6,5] => [2,3,2,1]
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [6,7,8,3,4,5,1,2] => [1,8,2,3,7,4,5,6] => [2,3,3]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [1,8,6,5,2,7,3,4] => [2,1,1,2,2]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [8,7,4,5,3,6,1,2] => [1,8,6,2,3,7,5,4] => [2,1,3,1,1]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [1,8,6,2,3,7,4,5] => [2,1,3,2]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [1,8,2,6,3,7,4,5] => [2,2,2,2]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [8,7,4,3,5,6,1,2] => [1,8,5,2,3,7,6,4] => [2,1,3,1,1]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [1,8,5,2,3,7,4,6] => [2,1,3,2]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [8,7,3,4,5,6,1,2] => [1,8,2,3,4,7,6,5] => [2,4,1,1]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [1,8,2,3,4,7,5,6] => [2,4,2]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [8,5,4,3,6,7,1,2] => [1,8,5,4,2,3,7,6] => [2,1,1,3,1]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [8,5,3,4,6,7,1,2] => [1,8,2,5,3,4,7,6] => [2,2,3,1]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [1,8,4,2,3,5,7,6] => [2,1,4,1]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [1,8,2,3,4,5,7,6] => [2,5,1]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [1,8,6,5,4,3,2,7] => [2,1,1,1,1,2]
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,3,8,1,2] => [1,8,6,5,2,4,3,7] => [2,1,1,2,2]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [1,8,6,5,3,2,4,7] => [2,1,1,1,3]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [5,6,7,4,3,8,1,2] => [1,8,6,5,2,3,4,7] => [2,1,1,4]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [1,8,6,2,5,3,4,7] => [2,1,2,3]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [1,8,6,4,2,3,5,7] => [2,1,1,4]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [6,4,5,7,3,8,1,2] => [1,8,6,2,4,3,5,7] => [2,1,2,3]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [5,4,6,7,3,8,1,2] => [1,8,6,3,2,4,5,7] => [2,1,1,4]
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [4,5,6,7,3,8,1,2] => [1,8,6,2,3,4,5,7] => [2,1,5]
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [7,6,5,3,4,8,1,2] => [1,8,2,6,5,4,3,7] => [2,2,1,1,2]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [7,5,6,3,4,8,1,2] => [1,8,2,6,3,5,4,7] => [2,2,2,2]
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [5,6,7,3,4,8,1,2] => [1,8,2,6,3,4,5,7] => [2,2,4]
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [7,6,4,3,5,8,1,2] => [1,8,5,2,6,4,3,7] => [2,1,2,1,2]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [7,6,3,4,5,8,1,2] => [1,8,2,3,6,5,4,7] => [2,3,1,2]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [7,5,4,3,6,8,1,2] => [1,8,5,4,2,6,3,7] => [2,1,1,2,2]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [7,5,3,4,6,8,1,2] => [1,8,2,5,3,6,4,7] => [2,2,2,2]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [1,8,2,3,4,6,5,7] => [2,4,2]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [1,8,5,4,3,2,6,7] => [2,1,1,1,3]
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [5,6,4,3,7,8,1,2] => [1,8,5,4,2,3,6,7] => [2,1,1,4]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [1,8,5,3,2,4,6,7] => [2,1,1,4]
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [4,5,6,3,7,8,1,2] => [1,8,5,2,3,4,6,7] => [2,1,5]
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [6,5,3,4,7,8,1,2] => [1,8,2,5,4,3,6,7] => [2,2,1,3]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [1,8,2,5,3,4,6,7] => [2,2,4]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [1,8,4,2,5,3,6,7] => [2,1,2,3]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [1,8,2,3,5,4,6,7] => [2,3,3]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [1,8,4,3,2,5,6,7] => [2,1,1,4]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [1,8,4,2,3,5,6,7] => [2,1,5]
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [5,3,4,6,7,8,1,2] => [1,8,2,4,3,5,6,7] => [2,2,4]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [1,8,3,2,4,5,6,7] => [2,1,5]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [1,8,2,3,4,5,6,7] => [2,6]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,1,8,6,5,4,3,2] => [1,2,1,1,1,1,1]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [7,1,8,6,5,4,2,3] => [1,2,1,1,1,2]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [8,6,7,5,4,2,1,3] => [7,1,8,6,5,2,4,3] => [1,2,1,1,2,1]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,1,8,6,5,3,2,4] => [1,2,1,1,1,2]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,2,1,3] => [7,1,8,6,5,2,3,4] => [1,2,1,1,3]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [8,7,5,6,4,2,1,3] => [7,1,8,6,2,5,4,3] => [1,2,1,2,1,1]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [7,1,8,6,2,5,3,4] => [1,2,1,2,2]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,2,1,3] => [7,1,8,6,4,2,5,3] => [1,2,1,1,2,1]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [7,1,8,6,4,3,2,5] => [1,2,1,1,1,2]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,2,1,3] => [7,1,8,6,4,2,3,5] => [1,2,1,1,3]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,2,1,3] => [7,1,8,6,2,4,3,5] => [1,2,1,2,2]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,2,1,3] => [7,1,8,6,3,2,4,5] => [1,2,1,1,3]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [7,1,8,6,2,3,4,5] => [1,2,1,4]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,2,1,3] => [7,1,8,2,6,5,4,3] => [1,2,2,1,1,1]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,2,1,3] => [7,1,8,2,6,3,5,4] => [1,2,2,2,1]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [7,6,8,4,5,2,1,3] => [7,1,8,2,6,4,3,5] => [1,2,2,1,2]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,2,1,3] => [7,1,8,2,3,6,5,4] => [1,2,3,1,1]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,2,1,3] => [7,1,8,2,5,3,6,4] => [1,2,2,2,1]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,2,1,3] => [7,1,8,5,4,3,2,6] => [1,2,1,1,1,2]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,2,1,3] => [7,1,8,5,4,2,3,6] => [1,2,1,1,3]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [7,1,8,5,3,2,4,6] => [1,2,1,1,3]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,2,1,3] => [7,1,8,5,2,3,4,6] => [1,2,1,4]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,2,1,3] => [7,1,8,2,5,4,3,6] => [1,2,2,1,2]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,2,1,3] => [7,1,8,4,2,5,3,6] => [1,2,1,2,2]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,2,1,3] => [7,1,8,2,3,5,4,6] => [1,2,3,2]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,2,1,3] => [7,1,8,3,2,4,5,6] => [1,2,1,4]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [7,1,8,2,3,4,5,6] => [1,2,5]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [1,2,8,7,6,5,4,3] => [3,1,1,1,1,1]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [1,2,8,7,6,5,3,4] => [3,1,1,1,2]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,1,2,3] => [1,2,8,7,6,4,3,5] => [3,1,1,1,2]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [1,2,8,7,6,3,4,5] => [3,1,1,3]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,1,2,3] => [1,2,8,7,3,6,4,5] => [3,1,2,2]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,1,2,3] => [1,2,8,7,5,3,6,4] => [3,1,1,2,1]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [1,2,8,7,3,4,6,5] => [3,1,3,1]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,1,2,3] => [1,2,8,7,5,4,3,6] => [3,1,1,1,2]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,1,2,3] => [1,2,8,7,5,3,4,6] => [3,1,1,3]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,1,2,3] => [1,2,8,7,3,5,4,6] => [3,1,2,2]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,1,2,3] => [1,2,8,7,4,3,5,6] => [3,1,1,3]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [1,2,8,7,3,4,5,6] => [3,1,4]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => [1,2,8,3,7,6,5,4] => [3,2,1,1,1]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [1,2,8,3,7,4,6,5] => [3,2,2,1]
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,1,2,3] => [1,2,8,3,7,4,5,6] => [3,2,3]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,1,2,3] => [1,2,8,6,3,7,5,4] => [3,1,2,1,1]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,1,2,3] => [1,2,8,6,3,7,4,5] => [3,1,2,2]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [1,2,8,3,4,7,6,5] => [3,3,1,1]
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [1,2,8,3,4,7,5,6] => [3,3,2]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [8,5,6,4,7,1,2,3] => [1,2,8,6,3,4,7,5] => [3,1,3,1]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,1,2,3] => [1,2,8,3,6,4,7,5] => [3,2,2,1]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,1,2,3] => [1,2,8,5,3,4,7,6] => [3,1,3,1]
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [1,2,8,3,4,5,7,6] => [3,4,1]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [1,2,8,6,5,4,3,7] => [3,1,1,1,2]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,1,2,3] => [1,2,8,6,5,3,4,7] => [3,1,1,3]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,1,2,3] => [1,2,8,6,4,3,5,7] => [3,1,1,3]
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,1,2,3] => [1,2,8,6,3,4,5,7] => [3,1,4]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,1,2,3] => [1,2,8,3,6,5,4,7] => [3,2,1,2]
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [1,2,8,3,6,4,5,7] => [3,2,3]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [1,2,8,5,3,6,4,7] => [3,1,2,2]
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,1,2,3] => [1,2,8,3,4,6,5,7] => [3,3,2]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [1,2,8,5,4,3,6,7] => [3,1,1,3]
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,1,2,3] => [1,2,8,5,3,4,6,7] => [3,1,4]
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [6,4,5,7,8,1,2,3] => [1,2,8,3,5,4,6,7] => [3,2,3]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [1,2,8,4,3,5,6,7] => [3,1,4]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [1,2,8,3,4,5,6,7] => [3,5]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [7,6,1,8,5,4,3,2] => [1,1,2,1,1,1,1]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,2,1,4] => [7,6,1,8,5,4,2,3] => [1,1,2,1,1,2]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [7,6,1,8,5,2,4,3] => [1,1,2,1,2,1]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,2,1,4] => [7,6,1,8,5,3,2,4] => [1,1,2,1,1,2]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,2,1,4] => [7,6,1,8,5,2,3,4] => [1,1,2,1,3]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [7,6,1,8,2,5,4,3] => [1,1,2,2,1,1]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [7,6,1,8,2,5,3,4] => [1,1,2,2,2]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [7,6,1,8,4,2,5,3] => [1,1,2,1,2,1]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [7,6,1,8,2,3,5,4] => [1,1,2,3,1]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,1,8,4,3,2,5] => [1,1,2,1,1,2]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [7,6,1,8,4,2,3,5] => [1,1,2,1,3]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,2,1,4] => [7,6,1,8,2,4,3,5] => [1,1,2,2,2]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [7,6,1,8,3,2,4,5] => [1,1,2,1,3]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [7,6,1,8,2,3,4,5] => [1,1,2,4]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [7,1,2,8,6,5,4,3] => [1,3,1,1,1,1]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [7,1,2,8,6,3,5,4] => [1,3,1,2,1]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,3,1,4] => [7,1,2,8,6,4,3,5] => [1,3,1,1,2]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [6,7,8,5,2,3,1,4] => [7,1,2,8,6,3,4,5] => [1,3,1,3]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,3,1,4] => [7,1,2,8,3,6,5,4] => [1,3,2,1,1]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [7,1,2,8,3,6,4,5] => [1,3,2,2]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [8,5,6,7,2,3,1,4] => [7,1,2,8,3,4,6,5] => [1,3,3,1]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [7,1,2,8,5,4,3,6] => [1,3,1,1,2]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [7,1,2,8,5,3,4,6] => [1,3,1,3]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [7,1,2,8,3,5,4,6] => [1,3,2,2]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [6,5,7,8,2,3,1,4] => [7,1,2,8,4,3,5,6] => [1,3,1,3]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [7,1,2,8,3,4,5,6] => [1,3,4]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [1,7,2,8,6,5,4,3] => [2,2,1,1,1,1]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,1,2,4] => [1,7,2,8,6,5,3,4] => [2,2,1,1,2]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,1,2,4] => [1,7,2,8,6,3,5,4] => [2,2,1,2,1]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,1,2,4] => [1,7,2,8,6,4,3,5] => [2,2,1,1,2]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [1,7,2,8,3,6,5,4] => [2,2,2,1,1]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [1,7,2,8,3,6,4,5] => [2,2,2,2]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,1,2,4] => [1,7,2,8,5,3,6,4] => [2,2,1,2,1]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,1,2,4] => [1,7,2,8,5,4,3,6] => [2,2,1,1,2]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [1,7,2,8,5,3,4,6] => [2,2,1,3]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [1,7,2,8,3,5,4,6] => [2,2,2,2]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [1,7,2,8,4,3,5,6] => [2,2,1,3]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [1,7,2,8,3,4,5,6] => [2,2,4]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [6,1,2,8,7,5,4,3] => [1,3,1,1,1,1]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [6,1,2,8,7,5,3,4] => [1,3,1,1,2]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,1,3,4] => [6,1,2,8,7,4,3,5] => [1,3,1,1,2]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [6,1,2,8,7,3,4,5] => [1,3,1,3]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,1,3,4] => [6,1,2,8,3,7,5,4] => [1,3,2,1,1]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [6,1,2,8,3,7,4,5] => [1,3,2,2]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,1,3,4] => [6,1,2,8,5,3,7,4] => [1,3,1,2,1]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [8,5,6,7,2,1,3,4] => [6,1,2,8,3,4,7,5] => [1,3,3,1]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,1,3,4] => [6,1,2,8,5,4,3,7] => [1,3,1,1,2]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [6,1,2,8,5,3,4,7] => [1,3,1,3]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [7,5,6,8,2,1,3,4] => [6,1,2,8,3,5,4,7] => [1,3,2,2]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,1,2,8,4,3,5,7] => [1,3,1,3]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [6,1,2,8,3,4,5,7] => [1,3,4]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [1,2,3,8,7,6,5,4] => [4,1,1,1,1]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [1,2,3,8,7,6,4,5] => [4,1,1,2]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [1,2,3,8,7,4,6,5] => [4,1,2,1]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [1,2,3,8,7,5,4,6] => [4,1,1,2]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [1,2,3,8,7,4,5,6] => [4,1,3]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [1,2,3,8,4,7,6,5] => [4,2,1,1]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [1,2,3,8,4,7,5,6] => [4,2,2]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [1,2,3,8,6,4,7,5] => [4,1,2,1]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [1,2,3,8,4,5,7,6] => [4,3,1]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [1,2,3,8,6,5,4,7] => [4,1,1,2]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [1,2,3,8,6,4,5,7] => [4,1,3]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [1,2,3,8,4,6,5,7] => [4,2,2]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [1,2,3,8,5,4,6,7] => [4,1,3]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [1,2,3,8,4,5,6,7] => [4,4]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,1,8,4,3,2] => [1,1,1,2,1,1,1]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [7,6,5,1,8,4,2,3] => [1,1,1,2,1,2]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [8,6,7,4,3,2,1,5] => [7,6,5,1,8,2,4,3] => [1,1,1,2,2,1]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [7,6,5,1,8,3,2,4] => [1,1,1,2,1,2]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [7,6,5,1,8,2,3,4] => [1,1,1,2,3]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [7,6,1,2,8,5,4,3] => [1,1,3,1,1,1]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [7,8,6,3,4,2,1,5] => [7,6,1,2,8,5,3,4] => [1,1,3,1,2]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [6,7,8,3,4,2,1,5] => [7,6,1,2,8,3,4,5] => [1,1,3,3]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [7,1,6,2,8,5,4,3] => [1,2,2,1,1,1]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [8,6,7,4,2,3,1,5] => [7,1,6,2,8,3,5,4] => [1,2,2,2,1]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,2,3,1,5] => [7,1,6,2,8,4,3,5] => [1,2,2,1,2]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [7,1,6,2,8,3,4,5] => [1,2,2,3]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [7,5,1,2,8,6,4,3] => [1,1,3,1,1,1]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [6,7,8,3,2,4,1,5] => [7,5,1,2,8,3,4,6] => [1,1,3,3]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [7,1,2,3,8,6,5,4] => [1,4,1,1,1]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [8,6,7,2,3,4,1,5] => [7,1,2,3,8,4,6,5] => [1,4,2,1]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [7,6,8,2,3,4,1,5] => [7,1,2,3,8,5,4,6] => [1,4,1,2]
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [6,7,8,2,3,4,1,5] => [7,1,2,3,8,4,5,6] => [1,4,3]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [1,7,6,2,8,5,4,3] => [2,1,2,1,1,1]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [1,7,6,2,8,3,4,5] => [2,1,2,3]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [1,7,2,3,8,6,5,4] => [2,3,1,1,1]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [7,8,6,3,4,1,2,5] => [1,7,2,3,8,6,4,5] => [2,3,1,2]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [1,7,2,3,8,4,6,5] => [2,3,2,1]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [1,7,2,3,8,4,5,6] => [2,3,3]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,1,7,2,8,5,4,3] => [1,2,2,1,1,1]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,2,1,3,5] => [6,1,7,2,8,5,3,4] => [1,2,2,1,2]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [6,1,7,2,8,3,5,4] => [1,2,2,2,1]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [6,7,8,4,2,1,3,5] => [6,1,7,2,8,3,4,5] => [1,2,2,3]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [1,2,7,3,8,6,5,4] => [3,2,1,1,1]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [1,2,7,3,8,6,4,5] => [3,2,1,2]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,1,2,3,5] => [1,2,7,3,8,5,4,6] => [3,2,1,2]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [1,2,7,3,8,4,5,6] => [3,2,3]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [6,5,1,2,8,7,4,3] => [1,1,3,1,1,1]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [7,8,6,3,2,1,4,5] => [6,5,1,2,8,7,3,4] => [1,1,3,1,2]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [8,6,7,3,2,1,4,5] => [6,5,1,2,8,3,7,4] => [1,1,3,2,1]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [7,6,8,3,2,1,4,5] => [6,5,1,2,8,4,3,7] => [1,1,3,1,2]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [6,5,1,2,8,3,4,7] => [1,1,3,3]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [6,1,2,3,8,7,5,4] => [1,4,1,1,1]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [7,8,6,2,3,1,4,5] => [6,1,2,3,8,7,4,5] => [1,4,1,2]
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [8,6,7,2,3,1,4,5] => [6,1,2,3,8,4,7,5] => [1,4,2,1]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [7,6,8,2,3,1,4,5] => [6,1,2,3,8,5,4,7] => [1,4,1,2]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [6,1,2,3,8,4,5,7] => [1,4,3]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [1,6,2,3,8,7,5,4] => [2,3,1,1,1]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [7,8,6,3,1,2,4,5] => [1,6,2,3,8,7,4,5] => [2,3,1,2]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [8,6,7,3,1,2,4,5] => [1,6,2,3,8,4,7,5] => [2,3,2,1]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [7,6,8,3,1,2,4,5] => [1,6,2,3,8,5,4,7] => [2,3,1,2]
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [6,7,8,3,1,2,4,5] => [1,6,2,3,8,4,5,7] => [2,3,3]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [5,1,2,3,8,7,6,4] => [1,4,1,1,1]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [7,8,6,2,1,3,4,5] => [5,1,2,3,8,7,4,6] => [1,4,1,2]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [5,1,2,3,8,4,7,6] => [1,4,2,1]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,1,2,3,8,4,6,7] => [1,4,3]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [1,2,3,4,8,7,6,5] => [5,1,1,1]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [1,2,3,4,8,7,5,6] => [5,1,2]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [1,2,3,4,8,5,7,6] => [5,2,1]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [1,2,3,4,8,6,5,7] => [5,1,2]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [1,2,3,4,8,5,6,7] => [5,3]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [7,6,5,4,1,8,3,2] => [1,1,1,1,2,1,1]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [7,6,5,4,1,8,2,3] => [1,1,1,1,2,2]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [8,7,4,5,3,2,1,6] => [7,6,5,1,2,8,4,3] => [1,1,1,3,1,1]
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [7,8,4,5,3,2,1,6] => [7,6,5,1,2,8,3,4] => [1,1,1,3,2]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [7,6,1,5,2,8,4,3] => [1,1,2,2,1,1]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [8,7,4,3,5,2,1,6] => [7,6,4,1,2,8,5,3] => [1,1,1,3,1,1]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [8,7,3,4,5,2,1,6] => [7,6,1,2,3,8,5,4] => [1,1,4,1,1]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [7,8,3,4,5,2,1,6] => [7,6,1,2,3,8,4,5] => [1,1,4,2]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [7,1,6,2,3,8,5,4] => [1,2,3,1,1]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [7,8,4,5,2,3,1,6] => [7,1,6,2,3,8,4,5] => [1,2,3,2]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [7,5,1,6,2,8,4,3] => [1,1,2,2,1,1]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [7,8,5,2,3,4,1,6] => [7,1,2,6,3,8,4,5] => [1,3,2,2]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [8,7,4,3,2,5,1,6] => [7,5,4,1,2,8,6,3] => [1,1,1,3,1,1]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [7,8,4,3,2,5,1,6] => [7,5,4,1,2,8,3,6] => [1,1,1,3,2]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [8,7,3,4,2,5,1,6] => [7,5,1,2,3,8,6,4] => [1,1,4,1,1]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [7,5,1,2,3,8,4,6] => [1,1,4,2]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [8,7,2,3,4,5,1,6] => [7,1,2,3,4,8,6,5] => [1,5,1,1]
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [7,8,2,3,4,5,1,6] => [7,1,2,3,4,8,5,6] => [1,5,2]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [1,7,6,5,2,8,4,3] => [2,1,1,2,1,1]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [7,8,5,4,3,1,2,6] => [1,7,6,5,2,8,3,4] => [2,1,1,2,2]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [8,7,5,3,4,1,2,6] => [1,7,2,6,3,8,5,4] => [2,2,2,1,1]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [7,8,5,3,4,1,2,6] => [1,7,2,6,3,8,4,5] => [2,2,2,2]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [1,7,2,3,4,8,6,5] => [2,4,1,1]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [7,8,3,4,5,1,2,6] => [1,7,2,3,4,8,5,6] => [2,4,2]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [6,1,7,5,2,8,3,4] => [1,2,1,2,2]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,1,2,3,6] => [1,2,7,6,3,8,5,4] => [3,1,2,1,1]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [1,2,7,6,3,8,4,5] => [3,1,2,2]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [8,7,4,5,1,2,3,6] => [1,2,7,3,4,8,6,5] => [3,3,1,1]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [1,2,7,3,4,8,5,6] => [3,3,2]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [6,5,1,7,2,8,4,3] => [1,1,2,2,1,1]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [7,8,5,3,2,1,4,6] => [6,5,1,7,2,8,3,4] => [1,1,2,2,2]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [8,7,5,2,3,1,4,6] => [6,1,2,7,3,8,5,4] => [1,3,2,1,1]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [1,6,2,7,3,8,5,4] => [2,2,2,1,1]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [7,8,5,3,1,2,4,6] => [1,6,2,7,3,8,4,5] => [2,2,2,2]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [5,1,2,7,3,8,6,4] => [1,3,2,1,1]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [5,1,2,7,3,8,4,6] => [1,3,2,2]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [1,2,3,7,4,8,6,5] => [4,2,1,1]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [1,2,3,7,4,8,5,6] => [4,2,2]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [6,5,4,1,2,8,7,3] => [1,1,1,3,1,1]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [6,5,4,1,2,8,3,7] => [1,1,1,3,2]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [7,8,3,4,2,1,5,6] => [6,5,1,2,3,8,4,7] => [1,1,4,2]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [8,7,3,2,4,1,5,6] => [6,4,1,2,3,8,7,5] => [1,1,4,1,1]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [6,4,1,2,3,8,5,7] => [1,1,4,2]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [8,7,2,3,4,1,5,6] => [6,1,2,3,4,8,7,5] => [1,5,1,1]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [6,1,2,3,4,8,5,7] => [1,5,2]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [7,8,4,3,1,2,5,6] => [1,6,5,2,3,8,4,7] => [2,1,3,2]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [8,7,3,4,1,2,5,6] => [1,6,2,3,4,8,7,5] => [2,4,1,1]
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [1,6,2,3,4,8,5,7] => [2,4,2]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [5,1,6,2,3,8,7,4] => [1,2,3,1,1]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,1,6,2,3,8,4,7] => [1,2,3,2]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [1,2,6,3,4,8,7,5] => [3,3,1,1]
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [7,8,4,1,2,3,5,6] => [1,2,6,3,4,8,5,7] => [3,3,2]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [5,4,1,2,3,8,7,6] => [1,1,4,1,1]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [5,4,1,2,3,8,6,7] => [1,1,4,2]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [8,7,2,3,1,4,5,6] => [5,1,2,3,4,8,7,6] => [1,5,1,1]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [5,1,2,3,4,8,6,7] => [1,5,2]
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [7,8,3,1,2,4,5,6] => [1,5,2,3,4,8,6,7] => [2,4,2]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [4,1,2,3,5,8,7,6] => [1,5,1,1]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [4,1,2,3,5,8,6,7] => [1,5,2]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [1,2,3,4,5,8,7,6] => [6,1,1]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [1,2,3,4,5,8,6,7] => [6,2]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [7,6,5,4,3,1,8,2] => [1,1,1,1,1,2,1]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [7,6,5,4,1,2,8,3] => [1,1,1,1,3,1]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [8,6,4,5,3,2,1,7] => [7,6,5,1,4,2,8,3] => [1,1,1,2,2,1]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [8,5,4,6,3,2,1,7] => [7,6,5,3,1,2,8,4] => [1,1,1,1,3,1]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [7,6,5,1,2,3,8,4] => [1,1,1,4,1]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [7,6,1,5,4,2,8,3] => [1,1,2,1,2,1]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [8,5,6,3,4,2,1,7] => [7,6,1,5,2,3,8,4] => [1,1,2,3,1]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [8,6,4,3,5,2,1,7] => [7,6,4,1,5,2,8,3] => [1,1,1,2,2,1]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [8,4,5,3,6,2,1,7] => [7,6,4,1,2,3,8,5] => [1,1,1,4,1]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [7,6,3,1,2,4,8,5] => [1,1,1,4,1]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [8,3,4,5,6,2,1,7] => [7,6,1,2,3,4,8,5] => [1,1,5,1]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [7,1,6,5,4,2,8,3] => [1,2,1,1,2,1]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [8,5,6,4,2,3,1,7] => [7,1,6,5,2,3,8,4] => [1,2,1,3,1]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,2,3,1,7] => [7,1,6,2,5,3,8,4] => [1,2,2,2,1]
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [8,4,5,6,2,3,1,7] => [7,1,6,2,3,4,8,5] => [1,2,4,1]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [7,5,1,6,4,2,8,3] => [1,1,2,1,2,1]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [8,6,5,2,3,4,1,7] => [7,1,2,6,5,3,8,4] => [1,3,1,2,1]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [8,5,6,2,3,4,1,7] => [7,1,2,6,3,4,8,5] => [1,3,3,1]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [8,6,4,3,2,5,1,7] => [7,5,4,1,6,2,8,3] => [1,1,1,2,2,1]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [8,6,4,2,3,5,1,7] => [7,1,5,2,6,3,8,4] => [1,2,2,2,1]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [7,4,1,2,6,3,8,5] => [1,1,3,2,1]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [7,5,4,3,1,2,8,6] => [1,1,1,1,3,1]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [7,5,3,1,2,4,8,6] => [1,1,1,4,1]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [8,5,4,2,3,6,1,7] => [7,1,5,4,2,3,8,6] => [1,2,1,3,1]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [7,1,5,2,3,4,8,6] => [1,2,4,1]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [7,4,1,5,2,3,8,6] => [1,1,2,3,1]
[[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [8,5,2,3,4,6,1,7] => [7,1,2,5,3,4,8,6] => [1,3,3,1]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [8,3,4,2,5,6,1,7] => [7,4,1,2,3,5,8,6] => [1,1,5,1]
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [7,3,1,2,4,5,8,6] => [1,1,5,1]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [7,1,2,3,4,5,8,6] => [1,6,1]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [1,7,6,5,4,2,8,3] => [2,1,1,1,2,1]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,3,1,2,7] => [1,7,6,2,5,3,8,4] => [2,1,2,2,1]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [1,7,2,6,5,3,8,4] => [2,2,1,2,1]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [1,7,2,6,3,4,8,5] => [2,2,3,1]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [8,6,3,4,5,1,2,7] => [1,7,2,3,6,4,8,5] => [2,3,2,1]
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [8,5,4,3,6,1,2,7] => [1,7,5,4,2,3,8,6] => [2,1,1,3,1]
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [8,4,5,3,6,1,2,7] => [1,7,5,2,3,4,8,6] => [2,1,4,1]
[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [8,5,3,4,6,1,2,7] => [1,7,2,5,3,4,8,6] => [2,2,3,1]
[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [1,7,4,2,3,5,8,6] => [2,1,4,1]
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [1,7,2,3,4,5,8,6] => [2,5,1]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,1,7,5,4,2,8,3] => [1,2,1,1,2,1]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,2,1,3,7] => [6,1,7,2,5,3,8,4] => [1,2,2,2,1]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [8,4,5,6,2,1,3,7] => [6,1,7,2,3,4,8,5] => [1,2,4,1]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [1,2,7,6,5,3,8,4] => [3,1,1,2,1]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [1,2,7,6,3,4,8,5] => [3,1,3,1]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [1,2,7,3,6,4,8,5] => [3,2,2,1]
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [1,2,7,3,4,5,8,6] => [3,4,1]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [6,5,1,7,4,2,8,3] => [1,1,2,1,2,1]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [8,5,6,3,2,1,4,7] => [6,5,1,7,2,3,8,4] => [1,1,2,3,1]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [6,1,2,7,5,3,8,4] => [1,3,1,2,1]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [6,1,2,7,3,4,8,5] => [1,3,3,1]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [8,5,6,3,1,2,4,7] => [1,6,2,7,3,4,8,5] => [2,2,3,1]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [5,1,2,7,6,3,8,4] => [1,3,1,2,1]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,1,2,7,3,4,8,6] => [1,3,3,1]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [1,2,3,7,6,4,8,5] => [4,1,2,1]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [1,2,3,7,4,5,8,6] => [4,3,1]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,1,7,2,8,3] => [1,1,1,2,2,1]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [6,5,1,2,7,3,8,4] => [1,1,3,2,1]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [8,6,4,2,3,1,5,7] => [6,1,5,2,7,3,8,4] => [1,2,2,2,1]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [6,4,1,2,7,3,8,5] => [1,1,3,2,1]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [8,6,2,3,4,1,5,7] => [6,1,2,3,7,4,8,5] => [1,4,2,1]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [8,6,4,3,1,2,5,7] => [1,6,5,2,7,3,8,4] => [2,1,2,2,1]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [1,6,2,3,7,4,8,5] => [2,3,2,1]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,1,6,2,7,3,8,4] => [1,2,2,2,1]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [1,2,6,3,7,4,8,5] => [3,2,2,1]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [8,6,3,2,1,4,5,7] => [5,4,1,2,7,3,8,6] => [1,1,3,2,1]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [1,2,3,4,7,5,8,6] => [5,2,1]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [6,5,4,3,1,2,8,7] => [1,1,1,1,3,1]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [6,5,1,2,3,4,8,7] => [1,1,5,1]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [8,4,5,2,3,1,6,7] => [6,1,5,2,3,4,8,7] => [1,2,4,1]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [8,4,2,3,5,1,6,7] => [6,1,4,2,3,5,8,7] => [1,2,4,1]
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [6,1,2,3,4,5,8,7] => [1,6,1]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [8,5,3,4,1,2,6,7] => [1,6,2,5,3,4,8,7] => [2,2,3,1]
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [8,3,4,5,1,2,6,7] => [1,6,2,3,4,5,8,7] => [2,5,1]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [8,5,4,2,1,3,6,7] => [5,1,6,4,2,3,8,7] => [1,2,1,3,1]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [1,2,6,5,3,4,8,7] => [3,1,3,1]
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [8,4,5,1,2,3,6,7] => [1,2,6,3,4,5,8,7] => [3,4,1]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [8,5,3,2,1,4,6,7] => [5,4,1,6,2,3,8,7] => [1,1,2,3,1]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [1,5,2,6,3,4,8,7] => [2,2,3,1]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [4,1,2,6,3,5,8,7] => [1,3,3,1]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [1,2,3,6,4,5,8,7] => [4,3,1]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [5,4,1,2,3,6,8,7] => [1,1,5,1]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [5,1,4,2,3,6,8,7] => [1,2,4,1]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [5,1,2,3,4,6,8,7] => [1,6,1]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [1,5,2,3,4,6,8,7] => [2,5,1]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [4,1,5,2,3,6,8,7] => [1,2,4,1]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [1,2,5,3,4,6,8,7] => [3,4,1]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [4,3,1,2,5,6,8,7] => [1,1,5,1]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [4,1,2,3,5,6,8,7] => [1,6,1]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [1,4,2,3,5,6,8,7] => [2,5,1]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [3,1,2,4,5,6,8,7] => [1,6,1]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,8,7] => [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]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [7,6,5,4,1,3,2,8] => [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]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [7,6,5,1,4,3,2,8] => [1,1,1,2,1,2]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [6,7,4,5,3,2,1,8] => [7,6,5,1,4,2,3,8] => [1,1,1,2,3]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [7,5,4,6,3,2,1,8] => [7,6,5,3,1,4,2,8] => [1,1,1,1,2,2]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [7,4,5,6,3,2,1,8] => [7,6,5,1,2,4,3,8] => [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]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [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]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [7,6,1,5,4,3,2,8] => [1,1,2,1,1,2]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [7,6,1,5,2,4,3,8] => [1,1,2,2,2]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [7,6,1,5,2,3,4,8] => [1,1,2,4]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [7,6,4,1,5,3,2,8] => [1,1,1,2,1,2]
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [6,7,4,3,5,2,1,8] => [7,6,4,1,5,2,3,8] => [1,1,1,2,3]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [7,6,1,2,5,4,3,8] => [1,1,3,1,2]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [7,6,4,3,1,5,2,8] => [1,1,1,1,2,2]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [7,4,5,3,6,2,1,8] => [7,6,4,1,2,5,3,8] => [1,1,1,3,2]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [7,3,4,5,6,2,1,8] => [7,6,1,2,3,5,4,8] => [1,1,4,2]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [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]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [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]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [7,1,6,5,4,3,2,8] => [1,2,1,1,1,2]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [7,1,6,5,4,2,3,8] => [1,2,1,1,3]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [7,1,6,5,2,4,3,8] => [1,2,1,2,2]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [7,1,6,5,2,3,4,8] => [1,2,1,4]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [7,1,6,2,5,4,3,8] => [1,2,2,1,2]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [7,1,6,2,5,3,4,8] => [1,2,2,3]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [7,5,4,6,2,3,1,8] => [7,1,6,4,2,5,3,8] => [1,2,1,2,2]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [7,4,5,6,2,3,1,8] => [7,1,6,2,3,5,4,8] => [1,2,3,2]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [6,5,4,7,2,3,1,8] => [7,1,6,4,3,2,5,8] => [1,2,1,1,3]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [7,1,6,4,2,3,5,8] => [1,2,1,4]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [5,4,6,7,2,3,1,8] => [7,1,6,3,2,4,5,8] => [1,2,1,4]
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [4,5,6,7,2,3,1,8] => [7,1,6,2,3,4,5,8] => [1,2,5]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [7,6,5,3,2,4,1,8] => [7,5,1,6,4,3,2,8] => [1,1,2,1,1,2]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [7,5,1,6,3,2,4,8] => [1,1,2,1,3]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [7,5,1,6,2,3,4,8] => [1,1,2,4]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [7,1,2,6,5,4,3,8] => [1,3,1,1,2]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [7,1,2,6,5,3,4,8] => [1,3,1,3]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [7,1,2,6,3,5,4,8] => [1,3,2,2]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [7,1,2,6,4,3,5,8] => [1,3,1,3]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [7,1,2,6,3,4,5,8] => [1,3,4]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [7,6,4,3,2,5,1,8] => [7,5,4,1,6,3,2,8] => [1,1,1,2,1,2]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [6,7,4,3,2,5,1,8] => [7,5,4,1,6,2,3,8] => [1,1,1,2,3]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [6,7,3,4,2,5,1,8] => [7,5,1,2,6,3,4,8] => [1,1,3,3]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [7,1,5,2,6,4,3,8] => [1,2,2,1,2]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [6,7,4,2,3,5,1,8] => [7,1,5,2,6,3,4,8] => [1,2,2,3]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [7,4,1,2,6,5,3,8] => [1,1,3,1,2]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [6,7,3,2,4,5,1,8] => [7,4,1,2,6,3,5,8] => [1,1,3,3]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [7,6,2,3,4,5,1,8] => [7,1,2,3,6,5,4,8] => [1,4,1,2]
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [6,7,2,3,4,5,1,8] => [7,1,2,3,6,4,5,8] => [1,4,3]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [7,4,5,3,2,6,1,8] => [7,5,4,1,2,6,3,8] => [1,1,1,3,2]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [7,5,3,4,2,6,1,8] => [7,5,1,4,2,6,3,8] => [1,1,2,2,2]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [7,4,3,5,2,6,1,8] => [7,5,3,1,2,6,4,8] => [1,1,1,3,2]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [7,5,4,2,3,6,1,8] => [7,1,5,4,2,6,3,8] => [1,2,1,2,2]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [7,4,5,2,3,6,1,8] => [7,1,5,2,3,6,4,8] => [1,2,3,2]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [7,4,1,5,2,6,3,8] => [1,1,2,2,2]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [7,1,2,3,4,6,5,8] => [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]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [7,5,1,4,2,3,6,8] => [1,1,2,4]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [7,5,1,2,4,3,6,8] => [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]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [7,5,1,3,2,4,6,8] => [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]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [5,4,6,2,3,7,1,8] => [7,1,5,3,2,4,6,8] => [1,2,1,4]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [7,4,1,5,3,2,6,8] => [1,1,2,1,3]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [7,1,4,2,5,3,6,8] => [1,2,2,3]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [6,3,2,4,5,7,1,8] => [7,3,1,2,5,4,6,8] => [1,1,3,3]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [6,2,3,4,5,7,1,8] => [7,1,2,3,5,4,6,8] => [1,4,3]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [7,4,3,2,1,5,6,8] => [1,1,1,1,4]
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [7,4,1,2,3,5,6,8] => [1,1,6]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [5,4,2,3,6,7,1,8] => [7,1,4,3,2,5,6,8] => [1,2,1,4]
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [4,5,2,3,6,7,1,8] => [7,1,4,2,3,5,6,8] => [1,2,5]
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [5,2,3,4,6,7,1,8] => [7,1,2,4,3,5,6,8] => [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]
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [4,2,3,5,6,7,1,8] => [7,1,3,2,4,5,6,8] => [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]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [1,7,6,5,4,3,2,8] => [2,1,1,1,1,2]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [1,7,6,5,4,2,3,8] => [2,1,1,1,3]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [1,7,6,5,2,4,3,8] => [2,1,1,2,2]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [7,4,5,6,3,1,2,8] => [1,7,6,2,3,5,4,8] => [2,1,3,2]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [5,4,6,7,3,1,2,8] => [1,7,6,3,2,4,5,8] => [2,1,1,4]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [1,7,6,2,3,4,5,8] => [2,1,5]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [7,6,5,3,4,1,2,8] => [1,7,2,6,5,4,3,8] => [2,2,1,1,2]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [7,5,6,3,4,1,2,8] => [1,7,2,6,3,5,4,8] => [2,2,2,2]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [6,5,7,3,4,1,2,8] => [1,7,2,6,4,3,5,8] => [2,2,1,3]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [6,7,3,4,5,1,2,8] => [1,7,2,3,6,4,5,8] => [2,3,3]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [7,5,3,4,6,1,2,8] => [1,7,2,5,3,6,4,8] => [2,2,2,2]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [6,5,4,3,7,1,2,8] => [1,7,5,4,3,2,6,8] => [2,1,1,1,3]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [1,7,2,5,3,4,6,8] => [2,2,4]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [6,4,3,5,7,1,2,8] => [1,7,4,2,5,3,6,8] => [2,1,2,3]
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [6,3,4,5,7,1,2,8] => [1,7,2,3,5,4,6,8] => [2,3,3]
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [4,3,5,6,7,1,2,8] => [1,7,3,2,4,5,6,8] => [2,1,5]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [1,7,2,3,4,5,6,8] => [2,6]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [6,1,7,5,4,3,2,8] => [1,2,1,1,1,2]
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,2,1,3,8] => [6,1,7,5,3,2,4,8] => [1,2,1,1,3]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [6,1,7,4,2,5,3,8] => [1,2,1,2,2]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [7,4,5,6,2,1,3,8] => [6,1,7,2,3,5,4,8] => [1,2,3,2]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [5,4,6,7,2,1,3,8] => [6,1,7,3,2,4,5,8] => [1,2,1,4]
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [4,5,6,7,2,1,3,8] => [6,1,7,2,3,4,5,8] => [1,2,5]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [1,2,7,6,5,4,3,8] => [3,1,1,1,2]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [7,5,6,4,1,2,3,8] => [1,2,7,6,3,5,4,8] => [3,1,2,2]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [1,2,7,6,3,4,5,8] => [3,1,4]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,1,2,3,8] => [1,2,7,5,3,6,4,8] => [3,1,2,2]
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [1,2,7,3,4,6,5,8] => [3,3,2]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [1,2,7,5,3,4,6,8] => [3,1,4]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [1,2,7,4,3,5,6,8] => [3,1,4]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,2,7,3,4,5,6,8] => [3,5]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,1,7,4,3,2,8] => [1,1,2,1,1,2]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [7,6,5,2,3,1,4,8] => [6,1,2,7,5,4,3,8] => [1,3,1,1,2]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [7,5,6,2,3,1,4,8] => [6,1,2,7,3,5,4,8] => [1,3,2,2]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [6,5,7,2,3,1,4,8] => [6,1,2,7,4,3,5,8] => [1,3,1,3]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [6,1,2,7,3,4,5,8] => [1,3,4]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [7,5,6,3,1,2,4,8] => [1,6,2,7,3,5,4,8] => [2,2,2,2]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [1,6,2,7,3,4,5,8] => [2,2,4]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [7,6,5,2,1,3,4,8] => [5,1,2,7,6,4,3,8] => [1,3,1,1,2]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [6,7,5,2,1,3,4,8] => [5,1,2,7,6,3,4,8] => [1,3,1,3]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [7,5,6,2,1,3,4,8] => [5,1,2,7,3,6,4,8] => [1,3,2,2]
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [5,1,2,7,3,4,6,8] => [1,3,4]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [1,2,3,7,6,5,4,8] => [4,1,1,2]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [1,2,3,7,6,4,5,8] => [4,1,3]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [1,2,3,7,4,6,5,8] => [4,2,2]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [1,2,3,7,5,4,6,8] => [4,1,3]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [1,2,3,7,4,5,6,8] => [4,4]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [6,7,4,3,2,1,5,8] => [6,5,4,1,7,2,3,8] => [1,1,1,2,3]
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [7,6,3,4,2,1,5,8] => [6,5,1,2,7,4,3,8] => [1,1,3,1,2]
[[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [6,7,3,4,2,1,5,8] => [6,5,1,2,7,3,4,8] => [1,1,3,3]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [7,6,4,2,3,1,5,8] => [6,1,5,2,7,4,3,8] => [1,2,2,1,2]
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [6,7,4,2,3,1,5,8] => [6,1,5,2,7,3,4,8] => [1,2,2,3]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [7,6,3,2,4,1,5,8] => [6,4,1,2,7,5,3,8] => [1,1,3,1,2]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [6,7,3,2,4,1,5,8] => [6,4,1,2,7,3,5,8] => [1,1,3,3]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [7,6,2,3,4,1,5,8] => [6,1,2,3,7,5,4,8] => [1,4,1,2]
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [6,7,2,3,4,1,5,8] => [6,1,2,3,7,4,5,8] => [1,4,3]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [1,6,5,2,7,4,3,8] => [2,1,2,1,2]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [6,7,3,4,1,2,5,8] => [1,6,2,3,7,4,5,8] => [2,3,3]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [5,1,6,2,7,4,3,8] => [1,2,2,1,2]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [5,4,1,2,7,6,3,8] => [1,1,3,1,2]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [7,6,2,3,1,4,5,8] => [5,1,2,3,7,6,4,8] => [1,4,1,2]
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [6,7,2,3,1,4,5,8] => [5,1,2,3,7,4,6,8] => [1,4,3]
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [6,7,3,1,2,4,5,8] => [1,5,2,3,7,4,6,8] => [2,3,3]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [1,2,3,4,7,6,5,8] => [5,1,2]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [1,2,3,4,7,5,6,8] => [5,3]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [6,5,4,3,1,7,2,8] => [1,1,1,1,2,2]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [7,4,5,3,2,1,6,8] => [6,5,4,1,2,7,3,8] => [1,1,1,3,2]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [7,4,3,5,2,1,6,8] => [6,5,3,1,2,7,4,8] => [1,1,1,3,2]
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [7,5,4,2,3,1,6,8] => [6,1,5,4,2,7,3,8] => [1,2,1,2,2]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [6,4,1,5,2,7,3,8] => [1,1,2,2,2]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [7,5,2,3,4,1,6,8] => [6,1,2,5,3,7,4,8] => [1,3,2,2]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [6,1,2,3,4,7,5,8] => [1,5,2]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [7,5,4,3,1,2,6,8] => [1,6,5,4,2,7,3,8] => [2,1,1,2,2]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [7,5,3,4,1,2,6,8] => [1,6,2,5,3,7,4,8] => [2,2,2,2]
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [7,4,5,2,1,3,6,8] => [5,1,6,2,3,7,4,8] => [1,2,3,2]
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [7,4,5,1,2,3,6,8] => [1,2,6,3,4,7,5,8] => [3,3,2]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [7,5,3,2,1,4,6,8] => [5,4,1,6,2,7,3,8] => [1,1,2,2,2]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [7,5,2,3,1,4,6,8] => [5,1,2,6,3,7,4,8] => [1,3,2,2]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [1,5,2,6,3,7,4,8] => [2,2,2,2]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [1,2,3,6,4,7,5,8] => [4,2,2]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [5,4,3,1,2,7,6,8] => [1,1,1,3,2]
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [7,2,3,4,1,5,6,8] => [5,1,2,3,4,7,6,8] => [1,5,2]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [7,4,3,1,2,5,6,8] => [1,5,4,2,3,7,6,8] => [2,1,3,2]
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [7,3,4,1,2,5,6,8] => [1,5,2,3,4,7,6,8] => [2,4,2]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [1,2,5,3,4,7,6,8] => [3,3,2]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [4,3,1,2,5,7,6,8] => [1,1,4,2]
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [7,2,3,1,4,5,6,8] => [4,1,2,3,5,7,6,8] => [1,5,2]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [1,4,2,3,5,7,6,8] => [2,4,2]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [3,1,2,4,5,7,6,8] => [1,5,2]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [1,2,3,4,5,7,6,8] => [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]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [6,5,1,4,3,2,7,8] => [1,1,2,1,3]
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [5,6,3,4,2,1,7,8] => [6,5,1,4,2,3,7,8] => [1,1,2,4]
[[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [6,3,4,5,2,1,7,8] => [6,5,1,2,4,3,7,8] => [1,1,3,3]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [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]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [5,6,3,2,4,1,7,8] => [6,4,1,5,2,3,7,8] => [1,1,2,4]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [6,5,2,3,4,1,7,8] => [6,1,2,5,4,3,7,8] => [1,3,1,3]
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [5,6,2,3,4,1,7,8] => [6,1,2,5,3,4,7,8] => [1,3,4]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [6,4,3,2,5,1,7,8] => [6,4,3,1,5,2,7,8] => [1,1,1,2,3]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [6,2,3,4,5,1,7,8] => [6,1,2,3,5,4,7,8] => [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]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [6,1,2,4,3,5,7,8] => [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]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [1,6,5,4,3,2,7,8] => [2,1,1,1,3]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [1,6,5,4,2,3,7,8] => [2,1,1,4]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [6,4,5,3,1,2,7,8] => [1,6,5,2,4,3,7,8] => [2,1,2,3]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [1,6,5,3,2,4,7,8] => [2,1,1,4]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [1,6,2,5,3,4,7,8] => [2,2,4]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [6,4,3,5,1,2,7,8] => [1,6,4,2,5,3,7,8] => [2,1,2,3]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [1,6,4,3,2,5,7,8] => [2,1,1,4]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [1,6,2,3,4,5,7,8] => [2,6]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [6,5,4,2,1,3,7,8] => [5,1,6,4,3,2,7,8] => [1,2,1,1,3]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [5,1,6,4,2,3,7,8] => [1,2,1,4]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [6,4,5,2,1,3,7,8] => [5,1,6,2,4,3,7,8] => [1,2,2,3]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [5,4,6,2,1,3,7,8] => [5,1,6,3,2,4,7,8] => [1,2,1,4]
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [4,5,6,2,1,3,7,8] => [5,1,6,2,3,4,7,8] => [1,2,5]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [1,2,6,5,4,3,7,8] => [3,1,1,3]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [1,2,6,3,4,5,7,8] => [3,5]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [6,5,3,2,1,4,7,8] => [5,4,1,6,3,2,7,8] => [1,1,2,1,3]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [5,4,1,6,2,3,7,8] => [1,1,2,4]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [6,5,1,2,3,4,7,8] => [1,2,3,6,5,4,7,8] => [4,1,3]
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [5,6,1,2,3,4,7,8] => [1,2,3,6,4,5,7,8] => [4,4]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [5,4,3,1,6,2,7,8] => [1,1,1,2,3]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [1,5,4,2,6,3,7,8] => [2,1,2,3]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [4,1,5,2,6,3,7,8] => [1,2,2,3]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [1,2,5,3,6,4,7,8] => [3,2,3]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [4,3,1,2,6,5,7,8] => [1,1,3,3]
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [6,2,3,1,4,5,7,8] => [4,1,2,3,6,5,7,8] => [1,4,3]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [1,4,2,3,6,5,7,8] => [2,3,3]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [1,2,3,4,6,5,7,8] => [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]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [5,4,1,3,2,6,7,8] => [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]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [5,1,4,3,2,6,7,8] => [1,2,1,4]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [5,1,4,2,3,6,7,8] => [1,2,5]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [5,3,1,4,2,6,7,8] => [1,1,2,4]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [5,1,2,4,3,6,7,8] => [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]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [5,1,3,2,4,6,7,8] => [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]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [1,5,4,3,2,6,7,8] => [2,1,1,4]
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [5,3,4,1,2,6,7,8] => [1,5,2,4,3,6,7,8] => [2,2,4]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [1,5,2,3,4,6,7,8] => [2,6]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [4,1,5,3,2,6,7,8] => [1,2,1,4]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [1,2,5,4,3,6,7,8] => [3,1,4]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [1,2,5,3,4,6,7,8] => [3,5]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [4,3,1,5,2,6,7,8] => [1,1,2,4]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [4,1,2,5,3,6,7,8] => [1,3,4]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [1,4,2,5,3,6,7,8] => [2,2,4]
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [3,1,2,5,4,6,7,8] => [1,3,4]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => [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]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [4,1,3,2,5,6,7,8] => [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]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => [2,1,5]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [2,6]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [3,1,4,2,5,6,7,8] => [1,2,5]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [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]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [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]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [9,7,8,6,5,4,3,2,1] => [9,8,7,6,5,4,1,3,2] => [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]
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [5,6,7,8,9,3,4,2,1] => [9,8,1,7,2,3,4,5,6] => [1,1,2,5]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [10,9,8,1,2,3,4,5,6,7] => [1,1,1,7]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [4,5,6,7,8,9,2,3,1] => [9,1,8,2,3,4,5,6,7] => [1,2,6]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [10,9,1,2,3,4,5,6,7,8] => [1,1,8]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,1,2] => [1,9,2,3,4,5,6,7,8] => [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]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [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]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [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]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [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]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [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]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [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]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [1,8,7,6,5,4,3,2,9] => [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]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => [1,10,2,9,3,8,4,7,5,6] => [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]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [11,12,9,10,7,8,5,6,3,4,1,2] => [1,12,2,11,3,10,4,9,5,8,6,7] => [2,2,2,2,2,2]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [10,8,6,4,2,1,3,5,7,9] => [6,1,7,2,8,3,9,4,10,5] => [1,2,2,2,2,1]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [12,10,8,6,4,2,1,3,5,7,9,11] => [7,1,8,2,9,3,10,4,11,5,12,6] => [1,2,2,2,2,2,1]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,9,8] => [8,1]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,10,9] => [9,1]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [3,1,2,4,5,6,7,9,8] => [1,7,1]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [9,2,1,3,4,5,6,7,8] => [1,1,7]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,11,10] => [10,1]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [4,2,3,5,6,7,8,9,1] => [9,1,3,2,4,5,6,7,8] => [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]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [1,2,3,4,5,6,9,7,8] => [7,2]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [7,8,9,1,2,3,4,5,6] => [1,2,3,4,5,9,6,7,8] => [6,3]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [6,7,8,9,1,2,3,4,5] => [1,2,3,4,9,5,6,7,8] => [5,4]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [5,6,7,8,9,1,2,3,4] => [1,2,3,9,4,5,6,7,8] => [4,5]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [4,5,6,7,8,9,1,2,3] => [1,2,9,3,4,5,6,7,8] => [3,6]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,9,8,7] => [7,1,1]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,10,8,9] => [8,2]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [8,7,9,1,2,3,4,5,6] => [1,2,3,4,5,9,7,6,8] => [6,1,2]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [8,9,10,1,2,3,4,5,6,7] => [1,2,3,4,5,6,10,7,8,9] => [7,3]
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [7,6,8,9,1,2,3,4,5] => [1,2,3,4,9,6,5,7,8] => [5,1,3]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [7,8,9,10,1,2,3,4,5,6] => [1,2,3,4,5,10,6,7,8,9] => [6,4]
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [6,5,7,8,9,1,2,3,4] => [1,2,3,9,5,4,6,7,8] => [4,1,4]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,1,2,3,4,5] => [1,2,3,4,10,5,6,7,8,9] => [5,5]
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [5,4,6,7,8,9,1,2,3] => [1,2,9,4,3,5,6,7,8] => [3,1,5]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [5,6,7,8,9,10,1,2,3,4] => [1,2,3,10,4,5,6,7,8,9] => [4,6]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [4,3,5,6,7,8,9,1,2] => [1,9,3,2,4,5,6,7,8] => [2,1,6]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [4,5,6,7,8,9,10,1,2,3] => [1,2,10,3,4,5,6,7,8,9] => [3,7]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,10,1,2] => [1,10,2,3,4,5,6,7,8,9] => [2,8]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [1,9,8,7,6,5,4,3,2] => [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]
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [8,9,7,6,5,4,3,1,2] => [1,9,8,7,6,5,4,2,3] => [2,1,1,1,1,1,2]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [1,10,9,8,7,6,5,4,3,2] => [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]
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [8,7,9,6,5,4,3,1,2] => [1,9,8,7,6,5,3,2,4] => [2,1,1,1,1,1,2]
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [9,7,8,6,5,4,3,1,2] => [1,9,8,7,6,5,2,4,3] => [2,1,1,1,1,2,1]
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [9,10,8,7,6,5,4,3,1,2] => [1,10,9,8,7,6,5,4,2,3] => [2,1,1,1,1,1,1,2]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [11,10,9,8,7,6,5,4,3,1,2] => [1,11,10,9,8,7,6,5,4,3,2] => [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]
[.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] => [9,8,10,6,7,4,5,2,3,1] => [10,1,9,2,8,3,7,5,4,6] => [1,2,2,2,1,2]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,2,1,3] => [8,1,9,7,6,5,4,3,2] => [1,2,1,1,1,1,1,1]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,3,2,1,4] => [8,7,1,9,6,5,4,3,2] => [1,1,2,1,1,1,1,1]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [9,8,7,6,4,3,2,1,5] => [8,7,6,1,9,5,4,3,2] => [1,1,1,2,1,1,1,1]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [9,8,7,5,4,3,2,1,6] => [8,7,6,5,1,9,4,3,2] => [1,1,1,1,2,1,1,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [9,8,6,5,4,3,2,1,7] => [8,7,6,5,4,1,9,3,2] => [1,1,1,1,1,2,1,1]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [8,7,6,5,4,3,1,9,2] => [1,1,1,1,1,1,2,1]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => [1,2,9,8,7,6,5,4,3] => [3,1,1,1,1,1,1]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,2,1,3] => [9,1,10,8,7,6,5,4,3,2] => [1,2,1,1,1,1,1,1,1]
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,2,3,1,4] => [8,1,2,9,7,6,5,4,3] => [1,3,1,1,1,1,1]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,3,2,1,4] => [9,8,1,10,7,6,5,4,3,2] => [1,1,2,1,1,1,1,1,1]
[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [9,8,7,6,3,4,2,1,5] => [8,7,1,2,9,6,5,4,3] => [1,1,3,1,1,1,1]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [9,6,7,5,4,3,2,1,8] => [8,7,6,5,4,1,2,9,3] => [1,1,1,1,1,3,1]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [10,9,7,6,5,4,3,2,1,8] => [9,8,7,6,5,4,1,10,3,2] => [1,1,1,1,1,1,2,1,1]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [9,8,7,6,5,4,3,1,10,2] => [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]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => [1,1,8]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [2,7]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [1,9]
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [9,8,7,5,6,4,3,2,1] => [9,8,7,6,1,5,4,3,2] => [1,1,1,1,2,1,1,1]
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,4,5,3,2,1] => [9,8,7,1,6,5,4,3,2] => [1,1,1,2,1,1,1,1]
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,3,4,2,1] => [9,8,1,7,6,5,4,3,2] => [1,1,2,1,1,1,1,1]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,2,3,1] => [9,1,8,7,6,5,4,3,2] => [1,2,1,1,1,1,1,1]
[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] => [10,8,9,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,2,1]
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [10,9,8,6,7,5,4,3,2,1] => [10,9,8,7,6,1,5,4,3,2] => [1,1,1,1,1,2,1,1,1]
[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,5,6,4,3,2,1] => [10,9,8,7,1,6,5,4,3,2] => [1,1,1,1,2,1,1,1,1]
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,2,3,1] => [10,1,9,8,7,6,5,4,3,2] => [1,2,1,1,1,1,1,1,1]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [10,8,9,6,7,4,5,2,3,1] => [10,1,9,2,8,3,7,4,6,5] => [1,2,2,2,2,1]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [9,2,3,4,5,6,7,8,1] => [9,1,2,3,4,5,6,8,7] => [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]
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [8,2,3,4,5,6,7,9,1] => [9,1,2,3,4,5,7,6,8] => [1,6,2]
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [8,9,2,3,4,5,6,7,1] => [9,1,2,3,4,5,8,6,7] => [1,6,2]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [10,2,3,4,5,6,7,8,9,1] => [10,1,2,3,4,5,6,7,9,8] => [1,8,1]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [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]
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [2,3,4,5,1,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => [1,8]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,1,2,3,4,5,6,8,9] => [1,8]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [4,2,3,1,5,6,7,8,9] => [4,1,3,2,5,6,7,8,9] => [1,2,6]
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [8,2,3,4,5,6,7,1,9] => [8,1,2,3,4,5,7,6,9] => [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]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [3,6]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [5,1,2,3,4,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => [4,5]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [6,1,2,3,4,5,7,8,9] => [1,2,3,4,6,5,7,8,9] => [5,4]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [1,2,3,4,5,7,6,8,9] => [6,3]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [1,2,3,4,5,6,8,7,9] => [7,2]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [2,8]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [1,2,4,3,5,6,7,8,9,10] => [3,7]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [5,1,2,3,4,6,7,8,9,10] => [1,2,3,5,4,6,7,8,9,10] => [4,6]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [1,2,3,4,6,5,7,8,9,10] => [5,5]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [7,1,2,3,4,5,6,8,9,10] => [1,2,3,4,5,7,6,8,9,10] => [6,4]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [8,1,2,3,4,5,6,7,9,10] => [1,2,3,4,5,6,8,7,9,10] => [7,3]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [1,2,3,4,5,6,7,9,8,10] => [8,2]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [9,3,4,5,6,7,8,1,2] => [1,9,2,3,4,5,6,8,7] => [2,6,1]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [9,7,6,5,4,3,2,8,1] => [9,7,6,5,4,3,1,8,2] => [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]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [11]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => [1,2,10,9,8,7,6,5,4,3] => [3,1,1,1,1,1,1,1]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [1,9,8,7,6,5,4,3,2,10] => [2,1,1,1,1,1,1,2]
[.,[[[[[[.,.],.],.],.],[[.,.],.]],.]] => [7,8,2,3,4,5,6,9,1] => [9,1,2,3,4,7,5,6,8] => [1,5,3]
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [3,4,5,1,2,6,7,8,9] => [1,5,2,3,4,6,7,8,9] => [2,7]
[.,[.,[[[[.,[[[.,.],.],.]],.],.],.]]] => [4,5,6,3,7,8,9,2,1] => [9,8,4,1,2,3,5,6,7] => [1,1,1,6]
[.,[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]] => [6,2,3,4,5,7,8,9,10,1] => [10,1,2,3,5,4,6,7,8,9] => [1,4,5]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [10,8,7,6,5,4,3,2,9,1] => [10,8,7,6,5,4,3,1,9,2] => [1,1,1,1,1,1,1,2,1]
[[.,.],[.,[[[[[[.,.],.],.],.],.],.]]] => [4,5,6,7,8,9,3,1,2] => [1,9,8,2,3,4,5,6,7] => [2,1,6]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [4,5,6,7,8,9,2,1,3] => [8,1,9,2,3,4,5,6,7] => [1,2,6]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [3,4,5,6,7,8,1,2,9] => [1,8,2,3,4,5,6,7,9] => [2,7]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,10,9,8] => [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]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] => [10,9,8,7,6,5,4,3,2,11,1] => [11,9,8,7,6,5,4,3,2,1,10] => [1,1,1,1,1,1,1,1,1,2]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => [1,2,3,4,5,9,8,7,6] => [6,1,1,1]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => [1,2,3,4,9,8,7,6,5] => [5,1,1,1,1]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => [1,2,3,9,8,7,6,5,4] => [4,1,1,1,1,1]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [9,7,1,2,3,4,5,6,8] => [1,2,3,4,5,8,6,9,7] => [6,2,1]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,10,9,8,7] => [7,1,1,1]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => [1,2,3,4,5,10,9,8,7,6] => [6,1,1,1,1]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => [1,2,3,4,10,9,8,7,6,5] => [5,1,1,1,1,1]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => [1,2,3,10,9,8,7,6,5,4] => [4,1,1,1,1,1,1]
[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [9,8,10,7,6,5,4,3,1,2] => [1,10,9,8,7,6,5,3,2,4] => [2,1,1,1,1,1,1,2]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [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]
[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]] => [8,9,7,6,5,4,3,2,10,1] => [10,8,7,6,5,4,3,1,2,9] => [1,1,1,1,1,1,1,3]
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [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]
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [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]
[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [8,7,6,5,4,3,9,1,2] => [1,9,7,6,5,4,3,2,8] => [2,1,1,1,1,1,2]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [9,2,3,4,5,6,7,1,8] => [8,1,2,3,4,5,6,9,7] => [1,7,1]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [3,4,1,2,5,6,7,8,9] => [1,4,2,3,5,6,7,8,9] => [2,7]
[[.,[.,[[[[[.,.],.],.],.],.]]],[.,.]] => [9,3,4,5,6,7,2,1,8] => [8,7,1,2,3,4,5,9,6] => [1,1,6,1]
[.,[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]] => [4,5,6,7,8,9,10,2,3,1] => [10,1,9,2,3,4,5,6,7,8] => [1,2,7]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]] => [10,11,1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,11,9,10] => [9,2]
[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.] => [8,7,6,5,4,1,2,3,9] => [1,2,8,7,6,5,4,3,9] => [3,1,1,1,1,2]
[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]] => [9,8,2,3,4,5,6,7,1] => [9,1,2,3,4,5,8,7,6] => [1,6,1,1]
[.,[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]] => [10,9,2,3,4,5,6,7,8,1] => [10,1,2,3,4,5,6,9,8,7] => [1,7,1,1]
[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.] => [3,4,5,6,7,8,2,1,9] => [8,7,1,2,3,4,5,6,9] => [1,1,7]
[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]] => [9,2,3,4,5,6,1,7,8] => [7,1,2,3,4,5,6,9,8] => [1,7,1]
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [6,7,5,4,3,2,1,8,9] => [7,6,5,4,3,1,2,8,9] => [1,1,1,1,1,4]
[[.,[[[[[.,.],.],.],.],.]],[.,[.,.]]] => [9,8,2,3,4,5,6,1,7] => [8,1,2,3,4,5,9,7,6] => [1,6,1,1]
[[[[[.,[.,[[[.,.],.],.]]],.],.],.],.] => [3,4,5,2,1,6,7,8,9] => [5,4,1,2,3,6,7,8,9] => [1,1,7]
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
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 π of length n is the integer composition of n whose descent set equals the descent set of π. The descent set of a permutation π is {i∣1≤i<n,π(i)>π(i+1)}. The descent set of a composition c=(i1,i2,…,ik) is the set {i1,i1+i2,i1+i2+i3,…,i1+i2+⋯+ik−1}.
The descent composition of a permutation π of length n is the integer composition of n whose descent set equals the descent set of π. The descent set of a permutation π is {i∣1≤i<n,π(i)>π(i+1)}. The descent set of a composition c=(i1,i2,…,ik) is the set {i1,i1+i2,i1+i2+i3,…,i1+i2+⋯+ik−1}.
searching the database
Sorry, this map was not found in the database.