Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00073: Permutations —major-index to inversion-number bijection⟶ Permutations
Mp00151: Permutations —to cycle type⟶ Set partitions
Mp00073: Permutations —major-index to inversion-number bijection⟶ Permutations
Mp00151: Permutations —to cycle type⟶ Set partitions
Images
[.,.] => [1] => [1] => {{1}}
[.,[.,.]] => [2,1] => [2,1] => {{1,2}}
[[.,.],.] => [1,2] => [1,2] => {{1},{2}}
[.,[.,[.,.]]] => [3,2,1] => [3,2,1] => {{1,3},{2}}
[.,[[.,.],.]] => [2,3,1] => [3,1,2] => {{1,2,3}}
[[.,.],[.,.]] => [1,3,2] => [2,3,1] => {{1,2,3}}
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => {{1,2},{3}}
[[[.,.],.],.] => [1,2,3] => [1,2,3] => {{1},{2},{3}}
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,3,2,1] => {{1,4},{2,3}}
[.,[.,[[.,.],.]]] => [3,4,2,1] => [4,3,1,2] => {{1,2,3,4}}
[.,[[.,.],[.,.]]] => [2,4,3,1] => [4,2,3,1] => {{1,4},{2},{3}}
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,2,1,3] => {{1,3,4},{2}}
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,1,2,3] => {{1,2,3,4}}
[[.,.],[.,[.,.]]] => [1,4,3,2] => [3,4,2,1] => {{1,2,3,4}}
[[.,.],[[.,.],.]] => [1,3,4,2] => [2,4,1,3] => {{1,2,3,4}}
[[.,[.,.]],[.,.]] => [2,1,4,3] => [3,2,4,1] => {{1,3,4},{2}}
[[[.,.],.],[.,.]] => [1,2,4,3] => [2,3,4,1] => {{1,2,3,4}}
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1,4] => {{1,3},{2},{4}}
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,1,2,4] => {{1,2,3},{4}}
[[[.,.],[.,.]],.] => [1,3,2,4] => [2,3,1,4] => {{1,2,3},{4}}
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => {{1,2},{3},{4}}
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => {{1},{2},{3},{4}}
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,4,3,2,1] => {{1,5},{2,4},{3}}
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [5,4,3,1,2] => {{1,2,4,5},{3}}
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [5,4,2,3,1] => {{1,5},{2,3,4}}
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [5,4,2,1,3] => {{1,2,3,4,5}}
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [5,4,1,2,3] => {{1,3,5},{2,4}}
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [5,3,4,2,1] => {{1,5},{2,3,4}}
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [5,2,4,1,3] => {{1,3,4,5},{2}}
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [5,3,2,4,1] => {{1,5},{2,3},{4}}
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [5,2,3,4,1] => {{1,5},{2},{3},{4}}
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [5,3,2,1,4] => {{1,4,5},{2,3}}
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [5,3,1,2,4] => {{1,2,3,4,5}}
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [5,2,3,1,4] => {{1,4,5},{2},{3}}
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [5,2,1,3,4] => {{1,3,4,5},{2}}
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [5,1,2,3,4] => {{1,2,3,4,5}}
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [4,5,3,2,1] => {{1,2,4,5},{3}}
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [3,5,4,1,2] => {{1,3,4},{2,5}}
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [3,5,2,4,1] => {{1,2,3,5},{4}}
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [3,5,2,1,4] => {{1,2,3,4,5}}
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [2,5,1,3,4] => {{1,2,3,4,5}}
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [4,3,5,2,1] => {{1,2,3,4,5}}
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [3,2,5,1,4] => {{1,3,4,5},{2}}
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [3,4,5,2,1] => {{1,3,5},{2,4}}
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [2,3,5,1,4] => {{1,2,3,4,5}}
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [4,3,2,5,1] => {{1,4,5},{2,3}}
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [4,2,3,5,1] => {{1,4,5},{2},{3}}
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [3,4,2,5,1] => {{1,2,3,4,5}}
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [3,2,4,5,1] => {{1,3,4,5},{2}}
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [2,3,4,5,1] => {{1,2,3,4,5}}
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,3,2,1,5] => {{1,4},{2,3},{5}}
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [4,3,1,2,5] => {{1,2,3,4},{5}}
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [4,2,3,1,5] => {{1,4},{2},{3},{5}}
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [4,2,1,3,5] => {{1,3,4},{2},{5}}
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,1,2,3,5] => {{1,2,3,4},{5}}
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [3,4,2,1,5] => {{1,2,3,4},{5}}
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [2,4,1,3,5] => {{1,2,3,4},{5}}
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [3,2,4,1,5] => {{1,3,4},{2},{5}}
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [2,3,4,1,5] => {{1,2,3,4},{5}}
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,2,1,4,5] => {{1,3},{2},{4},{5}}
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,1,2,4,5] => {{1,2,3},{4},{5}}
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [2,3,1,4,5] => {{1,2,3},{4},{5}}
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => {{1,2},{3},{4},{5}}
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}}
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => {{1,6},{2,5},{3,4}}
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [6,5,4,3,1,2] => {{1,2,5,6},{3,4}}
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [6,5,4,2,3,1] => {{1,6},{2,3,4,5}}
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [6,5,4,2,1,3] => {{1,2,3,4,5,6}}
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => {{1,3,4,6},{2,5}}
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [6,5,3,4,2,1] => {{1,6},{2,5},{3},{4}}
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [6,5,2,4,1,3] => {{1,2,3,5,6},{4}}
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [6,5,3,2,4,1] => {{1,6},{2,4,5},{3}}
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [6,5,2,3,4,1] => {{1,6},{2,3,4,5}}
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [6,5,3,2,1,4] => {{1,2,4,5,6},{3}}
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [6,5,3,1,2,4] => {{1,4,6},{2,5},{3}}
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [6,5,2,3,1,4] => {{1,2,3,4,5,6}}
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [6,5,2,1,3,4] => {{1,4,6},{2,3,5}}
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => {{1,2,3,4,5,6}}
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [6,4,5,3,2,1] => {{1,6},{2,3,4,5}}
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [6,3,5,4,1,2] => {{1,2,3,5,6},{4}}
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [6,3,5,2,4,1] => {{1,6},{2,3,4,5}}
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [6,3,5,2,1,4] => {{1,2,3,4,5,6}}
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [6,2,5,1,3,4] => {{1,4,6},{2},{3,5}}
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [6,4,3,5,2,1] => {{1,6},{2,4,5},{3}}
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [6,3,2,5,1,4] => {{1,4,5,6},{2,3}}
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [6,3,4,5,2,1] => {{1,6},{2,3,4,5}}
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [6,2,3,5,1,4] => {{1,4,5,6},{2},{3}}
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [6,4,3,2,5,1] => {{1,6},{2,4},{3},{5}}
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [6,4,2,3,5,1] => {{1,6},{2,3,4},{5}}
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [6,3,4,2,5,1] => {{1,6},{2,3,4},{5}}
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [6,3,2,4,5,1] => {{1,6},{2,3},{4},{5}}
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [6,2,3,4,5,1] => {{1,6},{2},{3},{4},{5}}
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [6,4,3,2,1,5] => {{1,5,6},{2,4},{3}}
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [6,4,3,1,2,5] => {{1,2,4,5,6},{3}}
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [6,4,2,3,1,5] => {{1,5,6},{2,3,4}}
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [6,4,2,1,3,5] => {{1,2,3,4,5,6}}
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => {{1,3,5,6},{2,4}}
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [6,3,4,2,1,5] => {{1,5,6},{2,3,4}}
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [6,2,4,1,3,5] => {{1,3,4,5,6},{2}}
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [6,3,2,4,1,5] => {{1,5,6},{2,3},{4}}
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [6,2,3,4,1,5] => {{1,5,6},{2},{3},{4}}
>>> Load all 1630 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [6,3,2,1,4,5] => {{1,4,5,6},{2,3}}
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [6,3,1,2,4,5] => {{1,2,3,4,5,6}}
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [6,2,3,1,4,5] => {{1,4,5,6},{2},{3}}
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [6,2,1,3,4,5] => {{1,3,4,5,6},{2}}
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [6,1,2,3,4,5] => {{1,2,3,4,5,6}}
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [5,6,4,3,2,1] => {{1,2,5,6},{3,4}}
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [4,6,5,3,1,2] => {{1,3,4,5},{2,6}}
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [4,6,5,2,3,1] => {{1,2,4,6},{3,5}}
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [4,6,5,2,1,3] => {{1,2,3,4,5,6}}
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [3,6,5,1,2,4] => {{1,2,3,4,5,6}}
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [4,6,3,5,2,1] => {{1,2,4,5,6},{3}}
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [3,6,2,5,1,4] => {{1,2,3,4,5,6}}
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [4,6,3,2,5,1] => {{1,2,4,6},{3},{5}}
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [3,6,2,4,5,1] => {{1,2,3,6},{4},{5}}
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [4,6,3,2,1,5] => {{1,2,4,5,6},{3}}
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [3,6,4,1,2,5] => {{1,3,4},{2,5,6}}
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [3,6,2,4,1,5] => {{1,2,3,5,6},{4}}
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [3,6,2,1,4,5] => {{1,2,3,4,5,6}}
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [2,6,1,3,4,5] => {{1,2,3,4,5,6}}
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [5,4,6,3,2,1] => {{1,2,3,4,5,6}}
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [4,3,6,5,1,2] => {{1,4,5},{2,3,6}}
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [4,3,6,2,5,1] => {{1,2,3,4,6},{5}}
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [4,3,6,2,1,5] => {{1,2,3,4,5,6}}
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [3,2,6,1,4,5] => {{1,3,4,5,6},{2}}
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [4,5,6,3,2,1] => {{1,3,4,6},{2,5}}
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [3,4,6,5,1,2] => {{1,2,3,4,5,6}}
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [3,4,6,2,5,1] => {{1,3,6},{2,4},{5}}
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [3,4,6,2,1,5] => {{1,3,5,6},{2,4}}
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [2,3,6,1,4,5] => {{1,2,3,4,5,6}}
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [5,4,3,6,2,1] => {{1,2,4,5,6},{3}}
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [4,3,2,6,1,5] => {{1,4,5,6},{2,3}}
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [5,3,4,6,2,1] => {{1,2,3,4,5,6}}
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [4,2,3,6,1,5] => {{1,4,5,6},{2},{3}}
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [4,5,3,6,2,1] => {{1,4,6},{2,5},{3}}
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [3,4,2,6,1,5] => {{1,2,3,4,5,6}}
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}}
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [3,2,4,6,1,5] => {{1,3,4,5,6},{2}}
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}}
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => {{1,2,3,4,5,6}}
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [5,4,3,2,6,1] => {{1,5,6},{2,4},{3}}
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [5,4,2,3,6,1] => {{1,5,6},{2,3,4}}
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [5,3,4,2,6,1] => {{1,5,6},{2,3,4}}
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [5,3,2,4,6,1] => {{1,5,6},{2,3},{4}}
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [5,2,3,4,6,1] => {{1,5,6},{2},{3},{4}}
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [4,5,3,2,6,1] => {{1,2,4,5,6},{3}}
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [3,5,2,4,6,1] => {{1,2,3,5,6},{4}}
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}}
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}}
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}}
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [4,2,3,5,6,1] => {{1,4,5,6},{2},{3}}
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}}
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}}
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}}
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => {{1,5},{2,4},{3},{6}}
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [5,4,3,1,2,6] => {{1,2,4,5},{3},{6}}
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [5,4,2,3,1,6] => {{1,5},{2,3,4},{6}}
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [5,4,2,1,3,6] => {{1,2,3,4,5},{6}}
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [5,4,1,2,3,6] => {{1,3,5},{2,4},{6}}
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [5,3,4,2,1,6] => {{1,5},{2,3,4},{6}}
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [5,2,4,1,3,6] => {{1,3,4,5},{2},{6}}
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [5,3,2,4,1,6] => {{1,5},{2,3},{4},{6}}
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [5,2,3,4,1,6] => {{1,5},{2},{3},{4},{6}}
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [5,3,2,1,4,6] => {{1,4,5},{2,3},{6}}
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [5,3,1,2,4,6] => {{1,2,3,4,5},{6}}
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [5,2,3,1,4,6] => {{1,4,5},{2},{3},{6}}
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [5,2,1,3,4,6] => {{1,3,4,5},{2},{6}}
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,1,2,3,4,6] => {{1,2,3,4,5},{6}}
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [4,5,3,2,1,6] => {{1,2,4,5},{3},{6}}
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [3,5,4,1,2,6] => {{1,3,4},{2,5},{6}}
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [3,5,2,4,1,6] => {{1,2,3,5},{4},{6}}
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [3,5,2,1,4,6] => {{1,2,3,4,5},{6}}
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [2,5,1,3,4,6] => {{1,2,3,4,5},{6}}
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [4,3,5,2,1,6] => {{1,2,3,4,5},{6}}
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [3,2,5,1,4,6] => {{1,3,4,5},{2},{6}}
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [3,4,5,2,1,6] => {{1,3,5},{2,4},{6}}
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [2,3,5,1,4,6] => {{1,2,3,4,5},{6}}
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [4,3,2,5,1,6] => {{1,4,5},{2,3},{6}}
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [4,2,3,5,1,6] => {{1,4,5},{2},{3},{6}}
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [3,4,2,5,1,6] => {{1,2,3,4,5},{6}}
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [3,2,4,5,1,6] => {{1,3,4,5},{2},{6}}
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => {{1,2,3,4,5},{6}}
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => {{1,4},{2,3},{5},{6}}
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [4,3,1,2,5,6] => {{1,2,3,4},{5},{6}}
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [4,2,3,1,5,6] => {{1,4},{2},{3},{5},{6}}
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,2,1,3,5,6] => {{1,3,4},{2},{5},{6}}
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [4,1,2,3,5,6] => {{1,2,3,4},{5},{6}}
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [3,4,2,1,5,6] => {{1,2,3,4},{5},{6}}
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [2,4,1,3,5,6] => {{1,2,3,4},{5},{6}}
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [3,2,4,1,5,6] => {{1,3,4},{2},{5},{6}}
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => {{1,2,3,4},{5},{6}}
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => {{1,3},{2},{4},{5},{6}}
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,1,2,4,5,6] => {{1,2,3},{4},{5},{6}}
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}}
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}}
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}}
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => {{1,7},{2,6},{3,5},{4}}
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => {{1,2,6,7},{3,5},{4}}
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [7,6,5,4,2,3,1] => {{1,7},{2,3,5,6},{4}}
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [7,6,5,4,2,1,3] => {{1,2,3,5,6,7},{4}}
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => {{1,3,5,7},{2,6},{4}}
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [7,6,5,3,4,2,1] => {{1,7},{2,6},{3,4,5}}
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [7,6,5,2,4,1,3] => {{1,2,3,4,5,6,7}}
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [7,6,5,3,2,4,1] => {{1,7},{2,3,4,5,6}}
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [7,6,5,2,3,4,1] => {{1,7},{2,4,6},{3,5}}
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [7,6,5,3,2,1,4] => {{1,2,3,4,5,6,7}}
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [7,6,5,3,1,2,4] => {{1,3,4,5,7},{2,6}}
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [7,6,5,2,3,1,4] => {{1,2,4,6,7},{3,5}}
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [7,6,5,2,1,3,4] => {{1,2,3,4,5,6,7}}
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => {{1,4,7},{2,3,5,6}}
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [7,6,4,5,3,2,1] => {{1,7},{2,6},{3,4,5}}
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [7,6,3,5,4,1,2] => {{1,2,6,7},{3},{4,5}}
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [7,6,3,5,2,4,1] => {{1,7},{2,4,5,6},{3}}
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [7,6,3,5,2,1,4] => {{1,2,4,5,6,7},{3}}
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [7,6,2,5,1,3,4] => {{1,4,5,7},{2,3,6}}
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [7,6,4,3,5,2,1] => {{1,7},{2,6},{3,4},{5}}
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [7,6,3,2,5,1,4] => {{1,2,4,6,7},{3},{5}}
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [7,6,3,4,5,2,1] => {{1,7},{2,6},{3},{4},{5}}
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [7,6,2,3,5,1,4] => {{1,2,3,4,6,7},{5}}
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [7,6,4,3,2,5,1] => {{1,7},{2,5,6},{3,4}}
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [7,6,4,2,3,5,1] => {{1,7},{2,3,4,5,6}}
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [7,6,3,4,2,5,1] => {{1,7},{2,5,6},{3},{4}}
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [7,6,3,2,4,5,1] => {{1,7},{2,4,5,6},{3}}
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [7,6,2,3,4,5,1] => {{1,7},{2,3,4,5,6}}
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [7,6,4,3,2,1,5] => {{1,2,5,6,7},{3,4}}
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [7,6,4,3,1,2,5] => {{1,5,7},{2,6},{3,4}}
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [7,6,4,2,3,1,5] => {{1,2,3,4,5,6,7}}
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [7,6,4,2,1,3,5] => {{1,5,7},{2,3,4,6}}
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [7,6,4,1,2,3,5] => {{1,2,3,4,5,6,7}}
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [7,6,3,4,2,1,5] => {{1,2,5,6,7},{3},{4}}
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [7,6,2,4,1,3,5] => {{1,5,7},{2,3,6},{4}}
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [7,6,3,2,4,1,5] => {{1,2,4,5,6,7},{3}}
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [7,6,2,3,4,1,5] => {{1,2,3,4,5,6,7}}
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [7,6,3,2,1,4,5] => {{1,5,7},{2,4,6},{3}}
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [7,6,3,1,2,4,5] => {{1,2,4,5,6,7},{3}}
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [7,6,2,3,1,4,5] => {{1,5,7},{2,3,4,6}}
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [7,6,2,1,3,4,5] => {{1,2,3,4,5,6,7}}
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => {{1,3,5,7},{2,4,6}}
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [7,5,6,4,3,2,1] => {{1,7},{2,3,5,6},{4}}
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [7,4,6,5,3,1,2] => {{1,2,3,4,5,6,7}}
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [7,4,6,5,2,3,1] => {{1,7},{2,4,5},{3,6}}
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [7,4,6,5,2,1,3] => {{1,3,6,7},{2,4,5}}
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [7,3,6,5,1,2,4] => {{1,4,5,7},{2,3,6}}
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [7,4,6,3,5,2,1] => {{1,7},{2,3,4,6},{5}}
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [7,3,6,2,5,1,4] => {{1,2,3,4,6,7},{5}}
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [7,4,6,3,2,5,1] => {{1,7},{2,3,4,5,6}}
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [7,3,6,2,4,5,1] => {{1,7},{2,3,4,5,6}}
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [7,4,6,3,2,1,5] => {{1,2,3,4,5,6,7}}
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [7,3,6,4,1,2,5] => {{1,5,7},{2,3,6},{4}}
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [7,3,6,2,4,1,5] => {{1,2,3,4,5,6,7}}
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [7,3,6,2,1,4,5] => {{1,5,7},{2,3,4,6}}
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [7,2,6,1,3,4,5] => {{1,3,4,5,6,7},{2}}
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [7,5,4,6,3,2,1] => {{1,7},{2,3,4,5,6}}
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [7,4,3,6,5,1,2] => {{1,2,4,6,7},{3},{5}}
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [7,4,3,6,2,5,1] => {{1,7},{2,4,5,6},{3}}
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [7,4,3,6,2,1,5] => {{1,2,4,5,6,7},{3}}
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [7,3,2,6,1,4,5] => {{1,5,7},{2,3},{4,6}}
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [7,4,5,6,3,2,1] => {{1,7},{2,4,6},{3,5}}
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [7,3,4,6,5,1,2] => {{1,2,3,4,6,7},{5}}
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [7,3,4,6,2,5,1] => {{1,7},{2,3,4,5,6}}
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [7,3,4,6,2,1,5] => {{1,2,3,4,5,6,7}}
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [7,2,3,6,1,4,5] => {{1,5,7},{2},{3},{4,6}}
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [7,5,4,3,6,2,1] => {{1,7},{2,5,6},{3,4}}
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [7,4,3,2,6,1,5] => {{1,5,6,7},{2,4},{3}}
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [7,5,3,4,6,2,1] => {{1,7},{2,5,6},{3},{4}}
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [7,4,2,3,6,1,5] => {{1,5,6,7},{2,3,4}}
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [7,4,5,3,6,2,1] => {{1,7},{2,3,4,5,6}}
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [7,3,4,2,6,1,5] => {{1,5,6,7},{2,3,4}}
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [7,4,3,5,6,2,1] => {{1,7},{2,4,5,6},{3}}
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [7,3,2,4,6,1,5] => {{1,5,6,7},{2,3},{4}}
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [7,3,4,5,6,2,1] => {{1,7},{2,3,4,5,6}}
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [7,2,3,4,6,1,5] => {{1,5,6,7},{2},{3},{4}}
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [7,5,4,3,2,6,1] => {{1,7},{2,5},{3,4},{6}}
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [7,5,4,2,3,6,1] => {{1,7},{2,3,4,5},{6}}
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [7,5,3,4,2,6,1] => {{1,7},{2,5},{3},{4},{6}}
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [7,5,3,2,4,6,1] => {{1,7},{2,4,5},{3},{6}}
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [7,5,2,3,4,6,1] => {{1,7},{2,3,4,5},{6}}
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [7,4,5,3,2,6,1] => {{1,7},{2,3,4,5},{6}}
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [7,3,5,2,4,6,1] => {{1,7},{2,3,4,5},{6}}
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [7,4,3,5,2,6,1] => {{1,7},{2,4,5},{3},{6}}
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [7,3,4,5,2,6,1] => {{1,7},{2,3,4,5},{6}}
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [7,4,3,2,5,6,1] => {{1,7},{2,4},{3},{5},{6}}
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [7,4,2,3,5,6,1] => {{1,7},{2,3,4},{5},{6}}
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [7,3,4,2,5,6,1] => {{1,7},{2,3,4},{5},{6}}
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [7,3,2,4,5,6,1] => {{1,7},{2,3},{4},{5},{6}}
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [7,2,3,4,5,6,1] => {{1,7},{2},{3},{4},{5},{6}}
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [7,5,4,3,2,1,6] => {{1,6,7},{2,5},{3,4}}
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [7,5,4,3,1,2,6] => {{1,2,5,6,7},{3,4}}
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [7,5,4,2,3,1,6] => {{1,6,7},{2,3,4,5}}
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [7,5,4,2,1,3,6] => {{1,2,3,4,5,6,7}}
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [7,5,4,1,2,3,6] => {{1,3,4,6,7},{2,5}}
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [7,5,3,4,2,1,6] => {{1,6,7},{2,5},{3},{4}}
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [7,5,2,4,1,3,6] => {{1,2,3,5,6,7},{4}}
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [7,5,3,2,4,1,6] => {{1,6,7},{2,4,5},{3}}
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [7,5,2,3,4,1,6] => {{1,6,7},{2,3,4,5}}
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [7,5,3,2,1,4,6] => {{1,2,4,5,6,7},{3}}
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [7,5,3,1,2,4,6] => {{1,4,6,7},{2,5},{3}}
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [7,5,2,3,1,4,6] => {{1,2,3,4,5,6,7}}
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [7,5,2,1,3,4,6] => {{1,4,6,7},{2,3,5}}
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => {{1,2,3,4,5,6,7}}
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [7,4,5,3,2,1,6] => {{1,6,7},{2,3,4,5}}
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [7,3,5,4,1,2,6] => {{1,2,3,5,6,7},{4}}
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [7,3,5,2,4,1,6] => {{1,6,7},{2,3,4,5}}
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [7,3,5,2,1,4,6] => {{1,2,3,4,5,6,7}}
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [7,2,5,1,3,4,6] => {{1,4,6,7},{2},{3,5}}
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [7,4,3,5,2,1,6] => {{1,6,7},{2,4,5},{3}}
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [7,3,2,5,1,4,6] => {{1,4,5,6,7},{2,3}}
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [7,3,4,5,2,1,6] => {{1,6,7},{2,3,4,5}}
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [7,2,3,5,1,4,6] => {{1,4,5,6,7},{2},{3}}
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [7,4,3,2,5,1,6] => {{1,6,7},{2,4},{3},{5}}
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [7,4,2,3,5,1,6] => {{1,6,7},{2,3,4},{5}}
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [7,3,4,2,5,1,6] => {{1,6,7},{2,3,4},{5}}
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [7,3,2,4,5,1,6] => {{1,6,7},{2,3},{4},{5}}
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [7,2,3,4,5,1,6] => {{1,6,7},{2},{3},{4},{5}}
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [7,4,3,2,1,5,6] => {{1,5,6,7},{2,4},{3}}
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [7,4,3,1,2,5,6] => {{1,2,4,5,6,7},{3}}
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [7,4,2,3,1,5,6] => {{1,5,6,7},{2,3,4}}
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [7,4,2,1,3,5,6] => {{1,2,3,4,5,6,7}}
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => {{1,3,5,6,7},{2,4}}
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [7,3,4,2,1,5,6] => {{1,5,6,7},{2,3,4}}
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [7,2,4,1,3,5,6] => {{1,3,4,5,6,7},{2}}
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [7,3,2,4,1,5,6] => {{1,5,6,7},{2,3},{4}}
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [7,2,3,4,1,5,6] => {{1,5,6,7},{2},{3},{4}}
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [7,3,2,1,4,5,6] => {{1,4,5,6,7},{2,3}}
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [7,3,1,2,4,5,6] => {{1,2,3,4,5,6,7}}
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [7,2,3,1,4,5,6] => {{1,4,5,6,7},{2},{3}}
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [7,2,1,3,4,5,6] => {{1,3,4,5,6,7},{2}}
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [7,1,2,3,4,5,6] => {{1,2,3,4,5,6,7}}
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [6,7,5,4,3,2,1] => {{1,2,6,7},{3,5},{4}}
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [5,7,6,4,3,1,2] => {{1,3,5,6},{2,7},{4}}
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,7,6,4,2,3,1] => {{1,2,5,7},{3,6},{4}}
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [5,7,6,4,2,1,3] => {{1,2,3,5,6,7},{4}}
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [4,7,6,5,1,2,3] => {{1,4,5},{2,3,6,7}}
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,7,6,3,4,2,1] => {{1,2,3,4,5,6,7}}
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,7,6,2,5,1,3] => {{1,2,3,4,6,7},{5}}
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [5,7,6,3,2,4,1] => {{1,2,5,7},{3,4,6}}
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,7,6,2,3,5,1] => {{1,2,4,7},{3,5,6}}
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [5,7,6,3,2,1,4] => {{1,2,3,4,5,6,7}}
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [4,7,6,3,1,2,5] => {{1,2,3,4,5,6,7}}
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,7,6,2,3,1,5] => {{1,2,3,4,5,6,7}}
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [4,7,6,2,1,3,5] => {{1,2,4,5,7},{3,6}}
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [3,7,6,1,2,4,5] => {{1,3,4,6},{2,5,7}}
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,7,4,6,3,2,1] => {{1,2,3,4,5,6,7}}
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,7,3,6,5,1,2] => {{1,4,6},{2,7},{3},{5}}
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,7,3,6,2,5,1] => {{1,2,4,5,6,7},{3}}
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,7,3,6,2,1,5] => {{1,4,6},{2,5,7},{3}}
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,7,2,6,1,4,5] => {{1,2,3,5,7},{4,6}}
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [5,7,4,3,6,2,1] => {{1,2,5,6,7},{3,4}}
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [4,7,3,2,6,1,5] => {{1,2,4,5,6,7},{3}}
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,7,3,5,6,2,1] => {{1,2,4,5,6,7},{3}}
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,7,2,4,6,1,5] => {{1,2,3,5,6,7},{4}}
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [5,7,4,3,2,6,1] => {{1,2,5,7},{3,4},{6}}
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [4,7,5,2,3,6,1] => {{1,2,4,7},{3,5},{6}}
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [4,7,3,5,2,6,1] => {{1,2,4,5,7},{3},{6}}
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [4,7,3,2,5,6,1] => {{1,2,4,7},{3},{5},{6}}
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,7,2,4,5,6,1] => {{1,2,3,7},{4},{5},{6}}
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [5,7,4,3,2,1,6] => {{1,2,5,6,7},{3,4}}
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [4,7,5,3,1,2,6] => {{1,3,4,5},{2,6,7}}
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,7,5,2,3,1,6] => {{1,2,4,6,7},{3,5}}
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [4,7,5,2,1,3,6] => {{1,2,3,4,5,6,7}}
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [3,7,5,1,2,4,6] => {{1,2,3,4,5,6,7}}
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,7,3,5,2,1,6] => {{1,2,4,5,6,7},{3}}
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,7,2,5,1,4,6] => {{1,2,3,4,5,6,7}}
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [4,7,3,2,5,1,6] => {{1,2,4,6,7},{3},{5}}
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,7,2,4,5,1,6] => {{1,2,3,6,7},{4},{5}}
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [4,7,3,2,1,5,6] => {{1,2,4,5,6,7},{3}}
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [3,7,4,1,2,5,6] => {{1,3,4},{2,5,6,7}}
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,7,2,4,1,5,6] => {{1,2,3,5,6,7},{4}}
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [3,7,2,1,4,5,6] => {{1,2,3,4,5,6,7}}
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [2,7,1,3,4,5,6] => {{1,2,3,4,5,6,7}}
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [6,5,7,4,3,2,1] => {{1,2,3,5,6,7},{4}}
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [5,4,7,6,3,1,2] => {{1,2,3,4,5,6,7}}
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [5,4,7,6,2,3,1] => {{1,2,3,4,5,6,7}}
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [5,4,7,6,2,1,3] => {{1,2,4,5,6},{3,7}}
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [4,3,7,6,1,2,5] => {{1,2,3,4,5,6,7}}
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [5,4,7,3,6,2,1] => {{1,2,3,4,5,6,7}}
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [4,3,7,2,6,1,5] => {{1,2,3,4,5,6,7}}
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [5,4,7,3,2,6,1] => {{1,2,3,4,5,7},{6}}
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [4,3,7,2,5,6,1] => {{1,2,3,4,7},{5},{6}}
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [5,4,7,3,2,1,6] => {{1,2,3,4,5,6,7}}
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [4,3,7,5,1,2,6] => {{1,4,5},{2,3,6,7}}
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [4,3,7,2,5,1,6] => {{1,2,3,4,6,7},{5}}
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [4,3,7,2,1,5,6] => {{1,2,3,4,5,6,7}}
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [3,2,7,1,4,5,6] => {{1,3,4,5,6,7},{2}}
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,6,7,4,3,2,1] => {{1,3,5,7},{2,6},{4}}
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,5,7,6,3,1,2] => {{1,4,6},{2,3,5,7}}
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,5,7,6,2,3,1] => {{1,3,4,6,7},{2,5}}
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,5,7,6,2,1,3] => {{1,4,6},{2,5},{3,7}}
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,4,7,6,1,2,5] => {{1,3,5,7},{2,4,6}}
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,5,7,3,6,2,1] => {{1,3,4,7},{2,5,6}}
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,4,7,2,6,1,5] => {{1,3,5,6,7},{2,4}}
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [4,5,7,3,2,6,1] => {{1,3,4,7},{2,5},{6}}
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,4,7,2,5,6,1] => {{1,3,7},{2,4},{5},{6}}
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,5,7,3,2,1,6] => {{1,3,4,6,7},{2,5}}
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,4,7,5,1,2,6] => {{1,2,3,4,5,6,7}}
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,4,7,2,5,1,6] => {{1,3,6,7},{2,4},{5}}
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,4,7,2,1,5,6] => {{1,3,5,6,7},{2,4}}
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,3,7,1,4,5,6] => {{1,2,3,4,5,6,7}}
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [6,5,4,7,3,2,1] => {{1,2,3,4,5,6,7}}
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [5,4,3,7,6,1,2] => {{1,5,6},{2,4,7},{3}}
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [5,4,3,7,2,6,1] => {{1,2,4,5,7},{3},{6}}
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [5,4,3,7,2,1,6] => {{1,2,4,5,6,7},{3}}
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [4,3,2,7,1,5,6] => {{1,4,5,6,7},{2,3}}
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [6,4,5,7,3,2,1] => {{1,2,4,6,7},{3,5}}
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [5,3,4,7,6,1,2] => {{1,5,6},{2,3,4,7}}
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [5,3,4,7,2,6,1] => {{1,2,3,4,5,7},{6}}
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [5,3,4,7,2,1,6] => {{1,2,3,4,5,6,7}}
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [4,2,3,7,1,5,6] => {{1,4,5,6,7},{2},{3}}
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [5,6,4,7,3,2,1] => {{1,3,4,5,7},{2,6}}
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [4,5,3,7,6,1,2] => {{1,2,4,5,6,7},{3}}
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [4,5,3,7,2,6,1] => {{1,4,7},{2,5},{3},{6}}
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [4,5,3,7,2,1,6] => {{1,4,6,7},{2,5},{3}}
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [3,4,2,7,1,5,6] => {{1,2,3,4,5,6,7}}
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [5,4,6,7,3,2,1] => {{1,2,3,4,5,6,7}}
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [4,3,5,7,6,1,2] => {{1,2,3,4,5,6,7}}
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [4,3,5,7,2,6,1] => {{1,4,7},{2,3,5},{6}}
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [4,3,5,7,2,1,6] => {{1,4,6,7},{2,3,5}}
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [3,2,4,7,1,5,6] => {{1,3,4,5,6,7},{2}}
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}}
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,4,5,7,6,1,2] => {{1,3,5,6},{2,4,7}}
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}}
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,4,5,7,2,1,6] => {{1,2,3,4,5,6,7}}
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,3,4,7,1,5,6] => {{1,2,3,4,5,6,7}}
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [6,5,4,3,7,2,1] => {{1,2,5,6,7},{3,4}}
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [5,4,3,2,7,1,6] => {{1,5,6,7},{2,4},{3}}
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [6,5,3,4,7,2,1] => {{1,2,5,6,7},{3},{4}}
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [5,4,2,3,7,1,6] => {{1,5,6,7},{2,3,4}}
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [6,4,5,3,7,2,1] => {{1,2,3,4,5,6,7}}
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [5,3,4,2,7,1,6] => {{1,5,6,7},{2,3,4}}
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [6,4,3,5,7,2,1] => {{1,2,4,5,6,7},{3}}
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [5,3,2,4,7,1,6] => {{1,5,6,7},{2,3},{4}}
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [6,3,4,5,7,2,1] => {{1,2,3,4,5,6,7}}
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [5,2,3,4,7,1,6] => {{1,5,6,7},{2},{3},{4}}
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [5,6,4,3,7,2,1] => {{1,5,7},{2,6},{3,4}}
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [4,5,3,2,7,1,6] => {{1,2,4,5,6,7},{3}}
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [4,6,3,5,7,2,1] => {{1,4,5,7},{2,6},{3}}
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [3,5,2,4,7,1,6] => {{1,2,3,5,6,7},{4}}
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [5,4,6,3,7,2,1] => {{1,5,7},{2,3,4,6}}
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [4,3,5,2,7,1,6] => {{1,2,3,4,5,6,7}}
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}}
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [3,4,5,2,7,1,6] => {{1,3,5,6,7},{2,4}}
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [5,4,3,6,7,2,1] => {{1,5,7},{2,4,6},{3}}
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [4,3,2,5,7,1,6] => {{1,4,5,6,7},{2,3}}
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [5,3,4,6,7,2,1] => {{1,5,7},{2,3,4,6}}
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [4,2,3,5,7,1,6] => {{1,4,5,6,7},{2},{3}}
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}}
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [3,4,2,5,7,1,6] => {{1,2,3,4,5,6,7}}
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}}
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [3,2,4,5,7,1,6] => {{1,3,4,5,6,7},{2}}
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}}
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => {{1,2,3,4,5,6,7}}
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [6,5,4,3,2,7,1] => {{1,6,7},{2,5},{3,4}}
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [6,5,4,2,3,7,1] => {{1,6,7},{2,3,4,5}}
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [6,5,3,4,2,7,1] => {{1,6,7},{2,5},{3},{4}}
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [6,5,3,2,4,7,1] => {{1,6,7},{2,4,5},{3}}
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [6,5,2,3,4,7,1] => {{1,6,7},{2,3,4,5}}
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [6,4,5,3,2,7,1] => {{1,6,7},{2,3,4,5}}
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [6,3,5,2,4,7,1] => {{1,6,7},{2,3,4,5}}
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [6,4,3,5,2,7,1] => {{1,6,7},{2,4,5},{3}}
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [6,3,4,5,2,7,1] => {{1,6,7},{2,3,4,5}}
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [6,4,3,2,5,7,1] => {{1,6,7},{2,4},{3},{5}}
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [6,4,2,3,5,7,1] => {{1,6,7},{2,3,4},{5}}
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [6,3,4,2,5,7,1] => {{1,6,7},{2,3,4},{5}}
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [6,3,2,4,5,7,1] => {{1,6,7},{2,3},{4},{5}}
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [6,2,3,4,5,7,1] => {{1,6,7},{2},{3},{4},{5}}
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [5,6,4,3,2,7,1] => {{1,2,5,6,7},{3,4}}
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [4,6,5,2,3,7,1] => {{1,2,4,6,7},{3,5}}
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [4,6,3,5,2,7,1] => {{1,2,4,5,6,7},{3}}
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [4,6,3,2,5,7,1] => {{1,2,4,6,7},{3},{5}}
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [3,6,2,4,5,7,1] => {{1,2,3,6,7},{4},{5}}
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [5,4,6,3,2,7,1] => {{1,2,3,4,5,6,7}}
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [4,3,6,2,5,7,1] => {{1,2,3,4,6,7},{5}}
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}}
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}}
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [5,4,3,6,2,7,1] => {{1,2,4,5,6,7},{3}}
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [5,3,4,6,2,7,1] => {{1,2,3,4,5,6,7}}
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}}
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}}
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}}
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [5,4,3,2,6,7,1] => {{1,5,6,7},{2,4},{3}}
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [5,4,2,3,6,7,1] => {{1,5,6,7},{2,3,4}}
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [5,3,4,2,6,7,1] => {{1,5,6,7},{2,3,4}}
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [5,3,2,4,6,7,1] => {{1,5,6,7},{2,3},{4}}
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [5,2,3,4,6,7,1] => {{1,5,6,7},{2},{3},{4}}
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}}
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}}
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}}
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}}
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}}
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}}
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}}
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}}
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}}
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => {{1,6},{2,5},{3,4},{7}}
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [6,5,4,3,1,2,7] => {{1,2,5,6},{3,4},{7}}
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [6,5,4,2,3,1,7] => {{1,6},{2,3,4,5},{7}}
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [6,5,4,2,1,3,7] => {{1,2,3,4,5,6},{7}}
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [6,5,4,1,2,3,7] => {{1,3,4,6},{2,5},{7}}
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [6,5,3,4,2,1,7] => {{1,6},{2,5},{3},{4},{7}}
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [6,5,2,4,1,3,7] => {{1,2,3,5,6},{4},{7}}
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [6,5,3,2,4,1,7] => {{1,6},{2,4,5},{3},{7}}
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [6,5,2,3,4,1,7] => {{1,6},{2,3,4,5},{7}}
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [6,5,3,2,1,4,7] => {{1,2,4,5,6},{3},{7}}
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [6,5,3,1,2,4,7] => {{1,4,6},{2,5},{3},{7}}
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [6,5,2,3,1,4,7] => {{1,2,3,4,5,6},{7}}
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [6,5,2,1,3,4,7] => {{1,4,6},{2,3,5},{7}}
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [6,5,1,2,3,4,7] => {{1,2,3,4,5,6},{7}}
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [6,4,5,3,2,1,7] => {{1,6},{2,3,4,5},{7}}
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [6,3,5,4,1,2,7] => {{1,2,3,5,6},{4},{7}}
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [6,3,5,2,4,1,7] => {{1,6},{2,3,4,5},{7}}
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [6,3,5,2,1,4,7] => {{1,2,3,4,5,6},{7}}
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [6,2,5,1,3,4,7] => {{1,4,6},{2},{3,5},{7}}
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [6,4,3,5,2,1,7] => {{1,6},{2,4,5},{3},{7}}
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [6,3,2,5,1,4,7] => {{1,4,5,6},{2,3},{7}}
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [6,3,4,5,2,1,7] => {{1,6},{2,3,4,5},{7}}
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [6,2,3,5,1,4,7] => {{1,4,5,6},{2},{3},{7}}
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [6,4,3,2,5,1,7] => {{1,6},{2,4},{3},{5},{7}}
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [6,4,2,3,5,1,7] => {{1,6},{2,3,4},{5},{7}}
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [6,3,4,2,5,1,7] => {{1,6},{2,3,4},{5},{7}}
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [6,3,2,4,5,1,7] => {{1,6},{2,3},{4},{5},{7}}
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [6,2,3,4,5,1,7] => {{1,6},{2},{3},{4},{5},{7}}
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [6,4,3,2,1,5,7] => {{1,5,6},{2,4},{3},{7}}
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [6,4,3,1,2,5,7] => {{1,2,4,5,6},{3},{7}}
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [6,4,2,3,1,5,7] => {{1,5,6},{2,3,4},{7}}
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [6,4,2,1,3,5,7] => {{1,2,3,4,5,6},{7}}
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [6,4,1,2,3,5,7] => {{1,3,5,6},{2,4},{7}}
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [6,3,4,2,1,5,7] => {{1,5,6},{2,3,4},{7}}
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [6,2,4,1,3,5,7] => {{1,3,4,5,6},{2},{7}}
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [6,3,2,4,1,5,7] => {{1,5,6},{2,3},{4},{7}}
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [6,2,3,4,1,5,7] => {{1,5,6},{2},{3},{4},{7}}
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [6,3,2,1,4,5,7] => {{1,4,5,6},{2,3},{7}}
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [6,3,1,2,4,5,7] => {{1,2,3,4,5,6},{7}}
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [6,2,3,1,4,5,7] => {{1,4,5,6},{2},{3},{7}}
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [6,2,1,3,4,5,7] => {{1,3,4,5,6},{2},{7}}
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [6,1,2,3,4,5,7] => {{1,2,3,4,5,6},{7}}
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [5,6,4,3,2,1,7] => {{1,2,5,6},{3,4},{7}}
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [4,6,5,3,1,2,7] => {{1,3,4,5},{2,6},{7}}
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [4,6,5,2,3,1,7] => {{1,2,4,6},{3,5},{7}}
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}}
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [3,6,5,1,2,4,7] => {{1,2,3,4,5,6},{7}}
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,6,3,5,2,1,7] => {{1,2,4,5,6},{3},{7}}
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,6,2,5,1,4,7] => {{1,2,3,4,5,6},{7}}
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [4,6,3,2,5,1,7] => {{1,2,4,6},{3},{5},{7}}
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,6,2,4,5,1,7] => {{1,2,3,6},{4},{5},{7}}
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [4,6,3,2,1,5,7] => {{1,2,4,5,6},{3},{7}}
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [3,6,4,1,2,5,7] => {{1,3,4},{2,5,6},{7}}
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [3,6,2,4,1,5,7] => {{1,2,3,5,6},{4},{7}}
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [3,6,2,1,4,5,7] => {{1,2,3,4,5,6},{7}}
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [2,6,1,3,4,5,7] => {{1,2,3,4,5,6},{7}}
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [5,4,6,3,2,1,7] => {{1,2,3,4,5,6},{7}}
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [4,3,6,5,1,2,7] => {{1,4,5},{2,3,6},{7}}
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [4,3,6,2,5,1,7] => {{1,2,3,4,6},{5},{7}}
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [4,3,6,2,1,5,7] => {{1,2,3,4,5,6},{7}}
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [3,2,6,1,4,5,7] => {{1,3,4,5,6},{2},{7}}
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [4,5,6,3,2,1,7] => {{1,3,4,6},{2,5},{7}}
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [3,4,6,5,1,2,7] => {{1,2,3,4,5,6},{7}}
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,4,6,2,5,1,7] => {{1,3,6},{2,4},{5},{7}}
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,4,6,2,1,5,7] => {{1,3,5,6},{2,4},{7}}
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [2,3,6,1,4,5,7] => {{1,2,3,4,5,6},{7}}
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [5,4,3,6,2,1,7] => {{1,2,4,5,6},{3},{7}}
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [4,3,2,6,1,5,7] => {{1,4,5,6},{2,3},{7}}
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [5,3,4,6,2,1,7] => {{1,2,3,4,5,6},{7}}
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [4,2,3,6,1,5,7] => {{1,4,5,6},{2},{3},{7}}
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [4,5,3,6,2,1,7] => {{1,4,6},{2,5},{3},{7}}
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [3,4,2,6,1,5,7] => {{1,2,3,4,5,6},{7}}
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}}
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [3,2,4,6,1,5,7] => {{1,3,4,5,6},{2},{7}}
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [3,4,5,6,2,1,7] => {{1,2,3,4,5,6},{7}}
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => {{1,2,3,4,5,6},{7}}
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [5,4,3,2,6,1,7] => {{1,5,6},{2,4},{3},{7}}
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [5,4,2,3,6,1,7] => {{1,5,6},{2,3,4},{7}}
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [5,3,4,2,6,1,7] => {{1,5,6},{2,3,4},{7}}
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [5,3,2,4,6,1,7] => {{1,5,6},{2,3},{4},{7}}
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [5,2,3,4,6,1,7] => {{1,5,6},{2},{3},{4},{7}}
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [4,5,3,2,6,1,7] => {{1,2,4,5,6},{3},{7}}
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [3,5,2,4,6,1,7] => {{1,2,3,5,6},{4},{7}}
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}}
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => {{1,3,5,6},{2,4},{7}}
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [4,3,2,5,6,1,7] => {{1,4,5,6},{2,3},{7}}
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [4,2,3,5,6,1,7] => {{1,4,5,6},{2},{3},{7}}
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => {{1,2,3,4,5,6},{7}}
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [3,2,4,5,6,1,7] => {{1,3,4,5,6},{2},{7}}
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}}
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => {{1,5},{2,4},{3},{6},{7}}
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [5,4,3,1,2,6,7] => {{1,2,4,5},{3},{6},{7}}
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [5,4,2,3,1,6,7] => {{1,5},{2,3,4},{6},{7}}
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [5,4,2,1,3,6,7] => {{1,2,3,4,5},{6},{7}}
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [5,4,1,2,3,6,7] => {{1,3,5},{2,4},{6},{7}}
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [5,3,4,2,1,6,7] => {{1,5},{2,3,4},{6},{7}}
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [5,2,4,1,3,6,7] => {{1,3,4,5},{2},{6},{7}}
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [5,3,2,4,1,6,7] => {{1,5},{2,3},{4},{6},{7}}
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [5,2,3,4,1,6,7] => {{1,5},{2},{3},{4},{6},{7}}
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [5,3,2,1,4,6,7] => {{1,4,5},{2,3},{6},{7}}
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,3,1,2,4,6,7] => {{1,2,3,4,5},{6},{7}}
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [5,2,3,1,4,6,7] => {{1,4,5},{2},{3},{6},{7}}
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [5,2,1,3,4,6,7] => {{1,3,4,5},{2},{6},{7}}
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [5,1,2,3,4,6,7] => {{1,2,3,4,5},{6},{7}}
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [4,5,3,2,1,6,7] => {{1,2,4,5},{3},{6},{7}}
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [3,5,4,1,2,6,7] => {{1,3,4},{2,5},{6},{7}}
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [3,5,2,4,1,6,7] => {{1,2,3,5},{4},{6},{7}}
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [3,5,2,1,4,6,7] => {{1,2,3,4,5},{6},{7}}
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [2,5,1,3,4,6,7] => {{1,2,3,4,5},{6},{7}}
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [4,3,5,2,1,6,7] => {{1,2,3,4,5},{6},{7}}
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [3,2,5,1,4,6,7] => {{1,3,4,5},{2},{6},{7}}
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [3,4,5,2,1,6,7] => {{1,3,5},{2,4},{6},{7}}
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => {{1,2,3,4,5},{6},{7}}
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [4,3,2,5,1,6,7] => {{1,4,5},{2,3},{6},{7}}
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [4,2,3,5,1,6,7] => {{1,4,5},{2},{3},{6},{7}}
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => {{1,2,3,4,5},{6},{7}}
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [3,2,4,5,1,6,7] => {{1,3,4,5},{2},{6},{7}}
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}}
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => {{1,4},{2,3},{5},{6},{7}}
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [4,3,1,2,5,6,7] => {{1,2,3,4},{5},{6},{7}}
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [4,2,3,1,5,6,7] => {{1,4},{2},{3},{5},{6},{7}}
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [4,2,1,3,5,6,7] => {{1,3,4},{2},{5},{6},{7}}
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [4,1,2,3,5,6,7] => {{1,2,3,4},{5},{6},{7}}
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [3,4,2,1,5,6,7] => {{1,2,3,4},{5},{6},{7}}
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => {{1,2,3,4},{5},{6},{7}}
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [3,2,4,1,5,6,7] => {{1,3,4},{2},{5},{6},{7}}
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}}
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}}
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,1,2,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}}
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}}
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}}
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}}
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => {{1,8},{2,7},{3,6},{4,5}}
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [8,7,6,5,4,3,1,2] => {{1,2,7,8},{3,6},{4,5}}
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [8,7,6,5,4,2,3,1] => {{1,8},{2,3,6,7},{4,5}}
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [8,7,6,5,4,2,1,3] => {{1,2,3,6,7,8},{4,5}}
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [8,7,6,5,4,1,2,3] => {{1,3,6,8},{2,7},{4,5}}
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [8,7,6,5,3,4,2,1] => {{1,8},{2,7},{3,4,5,6}}
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [8,7,6,5,2,4,1,3] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [8,7,6,5,3,2,4,1] => {{1,8},{2,3,4,5,6,7}}
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [8,7,6,5,2,3,4,1] => {{1,8},{2,4,5,7},{3,6}}
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [8,7,6,5,3,2,1,4] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [8,7,6,5,3,1,2,4] => {{1,3,4,5,6,8},{2,7}}
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [8,7,6,5,2,3,1,4] => {{1,2,4,5,7,8},{3,6}}
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [8,7,6,5,2,1,3,4] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [8,7,6,5,1,2,3,4] => {{1,4,5,8},{2,3,6,7}}
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [8,7,6,4,5,3,2,1] => {{1,8},{2,7},{3,6},{4},{5}}
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [8,7,6,3,5,4,1,2] => {{1,2,7,8},{3,4,6},{5}}
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [8,7,6,3,5,2,4,1] => {{1,8},{2,3,4,6,7},{5}}
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => [8,7,6,3,5,2,1,4] => {{1,2,3,4,6,7,8},{5}}
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [4,6,7,8,5,3,2,1] => [8,7,6,2,5,1,3,4] => {{1,2,3,4,6,7,8},{5}}
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [5,4,7,8,6,3,2,1] => [8,7,6,3,2,5,1,4] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [8,7,6,3,4,5,2,1] => {{1,8},{2,7},{3,4,5,6}}
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [6,5,4,8,7,3,2,1] => [8,7,6,4,3,2,5,1] => {{1,8},{2,3,5,6,7},{4}}
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [8,7,6,3,4,2,5,1] => {{1,8},{2,3,4,5,6,7}}
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [8,7,6,2,3,4,5,1] => {{1,8},{2,3,4,5,6,7}}
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [8,7,6,4,3,2,1,5] => {{1,2,3,5,6,7,8},{4}}
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [8,7,6,4,3,1,2,5] => {{1,3,5,6,8},{2,7},{4}}
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => [8,7,6,4,2,3,1,5] => {{1,2,5,7,8},{3,6},{4}}
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [8,7,6,4,2,1,3,5] => {{1,2,3,5,6,7,8},{4}}
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [8,7,6,4,1,2,3,5] => {{1,5,8},{2,3,6,7},{4}}
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [8,7,6,3,4,2,1,5] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [8,7,6,2,4,1,3,5] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [8,7,6,3,2,4,1,5] => {{1,2,5,7,8},{3,4,6}}
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [8,7,6,2,3,4,1,5] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [8,7,6,3,2,1,4,5] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [8,7,6,3,1,2,4,5] => {{1,5,8},{2,3,4,6,7}}
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => [8,7,6,2,3,1,4,5] => {{1,3,5,6,8},{2,4,7}}
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [8,7,6,2,1,3,4,5] => {{1,5,8},{2,4,7},{3,6}}
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [8,7,6,1,2,3,4,5] => {{1,2,4,5,7,8},{3,6}}
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [8,7,5,6,4,3,2,1] => {{1,8},{2,7},{3,4,5,6}}
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [8,7,4,6,5,3,1,2] => {{1,2,7,8},{3,4,6},{5}}
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [8,7,4,6,5,2,3,1] => {{1,8},{2,3,4,6,7},{5}}
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [8,7,4,6,5,2,1,3] => {{1,2,3,4,6,7,8},{5}}
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [8,7,4,6,3,5,2,1] => {{1,8},{2,7},{3,4,5,6}}
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [8,7,3,6,2,5,1,4] => {{1,2,4,5,6,7,8},{3}}
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [8,7,4,6,3,2,1,5] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [8,7,3,6,2,4,1,5] => {{1,2,5,7,8},{3},{4,6}}
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [8,7,2,6,1,3,4,5] => {{1,5,8},{2,3,4,6,7}}
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [8,7,5,4,6,3,2,1] => {{1,8},{2,7},{3,5,6},{4}}
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [4,3,7,8,6,5,2,1] => [8,7,4,3,6,5,1,2] => {{1,2,7,8},{3,4},{5,6}}
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [8,7,3,2,6,1,4,5] => {{1,5,6,8},{2,4,7},{3}}
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [8,7,4,5,6,3,2,1] => {{1,8},{2,7},{3,4,5,6}}
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [8,7,2,3,6,1,4,5] => {{1,5,6,8},{2,3,4,7}}
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [8,7,5,4,3,6,2,1] => {{1,8},{2,7},{3,5},{4},{6}}
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [8,7,4,3,2,6,1,5] => {{1,2,5,7,8},{3,4},{6}}
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [4,5,3,7,8,6,2,1] => [8,7,4,2,3,6,1,5] => {{1,2,3,4,5,7,8},{6}}
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [4,3,5,7,8,6,2,1] => [8,7,3,2,4,6,1,5] => {{1,2,4,5,7,8},{3},{6}}
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [8,7,3,4,5,6,2,1] => {{1,8},{2,7},{3},{4},{5},{6}}
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [8,7,2,3,4,6,1,5] => {{1,2,3,4,5,7,8},{6}}
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [8,7,5,4,3,2,6,1] => {{1,8},{2,6,7},{3,5},{4}}
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => [8,7,5,4,2,3,6,1] => {{1,8},{2,3,5,6,7},{4}}
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [8,7,4,3,5,2,6,1] => {{1,8},{2,6,7},{3,4},{5}}
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [8,7,4,3,2,5,6,1] => {{1,8},{2,5,6,7},{3,4}}
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [8,7,2,3,4,5,6,1] => {{1,8},{2,3,4,5,6,7}}
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [8,7,5,4,3,2,1,6] => {{1,2,6,7,8},{3,5},{4}}
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [8,7,5,4,3,1,2,6] => {{1,6,8},{2,7},{3,5},{4}}
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [8,7,5,4,1,2,3,6] => {{1,2,3,5,6,7,8},{4}}
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [4,7,6,5,3,8,2,1] => [8,7,5,3,4,2,1,6] => {{1,2,6,7,8},{3,4,5}}
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => [8,7,5,3,2,4,1,6] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [8,7,5,3,2,1,4,6] => {{1,6,8},{2,3,4,5,7}}
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [8,7,5,2,1,3,4,6] => {{1,3,5,6,8},{2,4,7}}
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [8,7,5,1,2,3,4,6] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [8,7,4,5,3,2,1,6] => {{1,2,6,7,8},{3,4,5}}
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [8,7,3,5,2,4,1,6] => {{1,2,4,5,6,7,8},{3}}
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [8,7,2,5,1,3,4,6] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [8,7,3,4,5,2,1,6] => {{1,2,6,7,8},{3},{4},{5}}
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [8,7,3,4,2,5,1,6] => {{1,2,5,6,7,8},{3},{4}}
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [8,7,2,3,4,5,1,6] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [8,7,4,3,2,1,5,6] => {{1,6,8},{2,5,7},{3,4}}
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [8,7,4,1,2,3,5,6] => {{1,3,4,6,8},{2,5,7}}
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1] => [8,7,3,4,2,1,5,6] => {{1,6,8},{2,5,7},{3},{4}}
[.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [3,5,6,4,7,8,2,1] => [8,7,2,4,1,3,5,6] => {{1,2,3,5,6,7,8},{4}}
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1] => [8,7,3,2,4,1,5,6] => {{1,6,8},{2,4,5,7},{3}}
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => [8,7,2,3,4,1,5,6] => {{1,6,8},{2,3,4,5,7}}
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [8,7,3,2,1,4,5,6] => {{1,2,4,5,6,7,8},{3}}
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1] => [8,7,2,3,1,4,5,6] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [8,7,2,1,3,4,5,6] => {{1,4,6,8},{2,3,5,7}}
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [8,7,1,2,3,4,5,6] => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [8,6,7,5,4,3,2,1] => {{1,8},{2,3,6,7},{4,5}}
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [8,5,7,6,4,3,1,2] => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [8,5,7,6,4,2,3,1] => {{1,8},{2,4,5,6},{3,7}}
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [8,5,7,6,4,2,1,3] => {{1,3,7,8},{2,4,5,6}}
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [8,4,7,6,5,1,2,3] => {{1,2,3,4,6,7,8},{5}}
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [8,4,7,6,3,1,2,5] => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [2,6,5,7,8,4,3,1] => [8,4,7,6,2,1,3,5] => {{1,2,4,5,6,8},{3,7}}
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [8,3,7,6,1,2,4,5] => {{1,5,8},{2,3,4,6,7}}
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [8,5,7,4,6,3,2,1] => {{1,8},{2,3,5,6,7},{4}}
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [8,4,7,3,6,5,1,2] => {{1,2,3,4,7,8},{5,6}}
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [8,4,7,3,6,2,5,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [8,3,7,2,6,1,4,5] => {{1,5,6,8},{2,3,4,7}}
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [8,5,7,4,3,6,2,1] => {{1,8},{2,3,5,7},{4},{6}}
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [8,4,7,3,2,6,1,5] => {{1,2,3,4,5,7,8},{6}}
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [8,3,7,2,4,6,1,5] => {{1,2,3,4,5,7,8},{6}}
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [8,5,7,4,3,2,6,1] => {{1,8},{2,3,5,6,7},{4}}
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [8,4,7,5,2,3,6,1] => {{1,8},{2,4,5},{3,6,7}}
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [8,4,7,3,5,2,6,1] => {{1,8},{2,3,4,6,7},{5}}
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [8,3,7,2,4,5,6,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [8,5,7,4,3,2,1,6] => {{1,2,3,5,6,7,8},{4}}
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [8,3,7,5,1,2,4,6] => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [8,4,7,3,5,2,1,6] => {{1,2,3,4,6,7,8},{5}}
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [8,3,7,2,5,1,4,6] => {{1,6,8},{2,3,4,7},{5}}
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [8,4,7,3,2,5,1,6] => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [8,4,7,3,2,1,5,6] => {{1,6,8},{2,3,4,5,7}}
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [8,3,7,4,1,2,5,6] => {{1,2,3,5,6,7,8},{4}}
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [8,3,7,2,4,1,5,6] => {{1,6,8},{2,3,4,5,7}}
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [8,3,7,2,1,4,5,6] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [8,6,5,7,4,3,2,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [3,2,7,8,6,5,4,1] => [8,5,4,7,6,3,1,2] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [8,4,3,7,2,6,1,5] => {{1,2,4,5,7,8},{3},{6}}
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [3,2,6,7,5,8,4,1] => [8,4,3,7,5,1,2,6] => {{1,6,8},{2,4,7},{3},{5}}
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [8,3,2,7,1,4,5,6] => {{1,4,5,6,7,8},{2,3}}
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [8,5,6,7,4,3,2,1] => {{1,8},{2,4,5,7},{3,6}}
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [8,3,4,7,6,1,2,5] => {{1,5,6,8},{2,3,4,7}}
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [8,3,4,7,2,6,1,5] => {{1,2,3,4,5,7,8},{6}}
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [8,4,5,7,3,2,6,1] => {{1,8},{2,4,6,7},{3,5}}
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [8,3,4,7,2,5,6,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [8,2,3,7,1,4,5,6] => {{1,4,5,6,7,8},{2},{3}}
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [8,6,5,4,7,3,2,1] => {{1,8},{2,3,5,6,7},{4}}
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [8,5,4,3,7,6,1,2] => {{1,2,5,7,8},{3,4},{6}}
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [4,3,2,6,8,7,5,1] => [8,5,4,3,7,2,6,1] => {{1,8},{2,5,6,7},{3,4}}
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [8,6,4,5,7,3,2,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [8,5,6,4,7,3,2,1] => {{1,8},{2,5,7},{3,6},{4}}
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [8,4,5,3,7,2,6,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [8,4,5,6,7,3,2,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [2,3,4,7,8,6,5,1] => [8,3,4,5,7,6,1,2] => {{1,2,3,4,5,7,8},{6}}
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [8,3,4,5,7,2,1,6] => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [8,2,3,4,7,1,5,6] => {{1,6,8},{2},{3},{4},{5,7}}
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [8,6,5,4,3,7,2,1] => {{1,8},{2,6,7},{3,5},{4}}
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [8,5,4,3,2,7,1,6] => {{1,6,7,8},{2,5},{3,4}}
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [8,5,3,4,2,7,1,6] => {{1,6,7,8},{2,5},{3},{4}}
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [4,3,5,2,8,7,6,1] => [8,6,4,3,5,7,2,1] => {{1,8},{2,6,7},{3,4},{5}}
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [8,3,5,2,4,7,1,6] => {{1,6,7,8},{2,3,4,5}}
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [8,3,4,5,2,7,1,6] => {{1,6,7,8},{2,3,4,5}}
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [8,5,4,3,6,7,2,1] => {{1,8},{2,5,6,7},{3,4}}
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [8,4,3,2,5,7,1,6] => {{1,6,7,8},{2,4},{3},{5}}
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [8,5,3,4,6,7,2,1] => {{1,8},{2,5,6,7},{3},{4}}
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [8,4,2,3,5,7,1,6] => {{1,6,7,8},{2,3,4},{5}}
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [8,3,2,4,5,7,1,6] => {{1,6,7,8},{2,3},{4},{5}}
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [8,3,4,5,6,7,2,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [8,2,3,4,5,7,1,6] => {{1,6,7,8},{2},{3},{4},{5}}
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [8,6,5,4,3,2,7,1] => {{1,8},{2,6},{3,5},{4},{7}}
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [8,6,5,3,4,2,7,1] => {{1,8},{2,6},{3,4,5},{7}}
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [8,6,5,3,2,4,7,1] => {{1,8},{2,3,4,5,6},{7}}
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [8,6,4,5,3,2,7,1] => {{1,8},{2,6},{3,4,5},{7}}
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [8,6,4,3,5,2,7,1] => {{1,8},{2,6},{3,4},{5},{7}}
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [8,6,4,3,2,5,7,1] => {{1,8},{2,5,6},{3,4},{7}}
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [8,6,4,2,3,5,7,1] => {{1,8},{2,3,4,5,6},{7}}
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [3,4,5,6,2,8,7,1] => [8,6,2,3,4,5,7,1] => {{1,8},{2,3,4,5,6},{7}}
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [8,5,6,4,3,2,7,1] => {{1,8},{2,3,5,6},{4},{7}}
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [8,4,6,3,5,2,7,1] => {{1,8},{2,3,4,6},{5},{7}}
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [8,3,6,2,4,5,7,1] => {{1,8},{2,3,4,5,6},{7}}
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [8,5,4,6,3,2,7,1] => {{1,8},{2,3,4,5,6},{7}}
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [8,5,4,3,6,2,7,1] => {{1,8},{2,5,6},{3,4},{7}}
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [8,4,5,3,6,2,7,1] => {{1,8},{2,3,4,5,6},{7}}
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [8,4,3,5,6,2,7,1] => {{1,8},{2,4,5,6},{3},{7}}
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [8,3,4,5,6,2,7,1] => {{1,8},{2,3,4,5,6},{7}}
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [8,5,4,3,2,6,7,1] => {{1,8},{2,5},{3,4},{6},{7}}
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [4,5,3,2,6,8,7,1] => [8,5,4,2,3,6,7,1] => {{1,8},{2,3,4,5},{6},{7}}
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [2,5,4,3,6,8,7,1] => [8,4,5,3,2,6,7,1] => {{1,8},{2,3,4,5},{6},{7}}
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [8,4,3,2,5,6,7,1] => {{1,8},{2,4},{3},{5},{6},{7}}
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [8,4,2,3,5,6,7,1] => {{1,8},{2,3,4},{5},{6},{7}}
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [8,3,4,2,5,6,7,1] => {{1,8},{2,3,4},{5},{6},{7}}
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [8,3,2,4,5,6,7,1] => {{1,8},{2,3},{4},{5},{6},{7}}
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [8,2,3,4,5,6,7,1] => {{1,8},{2},{3},{4},{5},{6},{7}}
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [8,6,5,4,3,2,1,7] => {{1,7,8},{2,6},{3,5},{4}}
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [8,6,5,4,3,1,2,7] => {{1,2,6,7,8},{3,5},{4}}
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [8,6,5,4,2,3,1,7] => {{1,7,8},{2,3,5,6},{4}}
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [8,6,5,4,2,1,3,7] => {{1,2,3,5,6,7,8},{4}}
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [8,6,5,4,1,2,3,7] => {{1,3,5,7,8},{2,6},{4}}
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => [8,6,5,3,4,2,1,7] => {{1,7,8},{2,6},{3,4,5}}
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => [8,6,5,2,4,1,3,7] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [8,6,5,3,2,1,4,7] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [8,6,5,2,3,1,4,7] => {{1,2,4,6,7,8},{3,5}}
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [8,6,5,1,2,3,4,7] => {{1,4,7,8},{2,3,5,6}}
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [8,6,3,5,2,4,1,7] => {{1,7,8},{2,4,5,6},{3}}
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [8,6,2,5,1,3,4,7] => {{1,4,5,7,8},{2,3,6}}
[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [8,6,2,3,5,1,4,7] => {{1,2,3,4,6,7,8},{5}}
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [4,5,3,7,6,2,8,1] => [8,6,4,2,3,5,1,7] => {{1,7,8},{2,3,4,5,6}}
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [8,6,4,3,2,1,5,7] => {{1,2,5,6,7,8},{3,4}}
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [8,6,4,2,3,1,5,7] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [8,6,4,2,1,3,5,7] => {{1,5,7,8},{2,3,4,6}}
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [8,6,4,1,2,3,5,7] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [8,6,3,4,2,1,5,7] => {{1,2,5,6,7,8},{3},{4}}
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [8,6,2,4,1,3,5,7] => {{1,5,7,8},{2,3,6},{4}}
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [8,6,3,2,4,1,5,7] => {{1,2,4,5,6,7,8},{3}}
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [8,6,2,3,4,1,5,7] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [8,6,3,2,1,4,5,7] => {{1,5,7,8},{2,4,6},{3}}
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [8,6,1,2,3,4,5,7] => {{1,3,5,7,8},{2,4,6}}
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [8,5,6,4,3,2,1,7] => {{1,7,8},{2,3,5,6},{4}}
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [8,3,6,5,1,2,4,7] => {{1,4,5,7,8},{2,3,6}}
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [8,3,6,2,5,1,4,7] => {{1,2,3,4,6,7,8},{5}}
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [8,3,6,2,4,1,5,7] => {{1,2,3,4,5,6,7,8}}
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [8,3,6,2,1,4,5,7] => {{1,5,7,8},{2,3,4,6}}
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [8,4,3,6,5,1,2,7] => {{1,2,4,6,7,8},{3},{5}}
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [8,4,3,6,2,5,1,7] => {{1,7,8},{2,4,5,6},{3}}
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [8,4,3,6,2,1,5,7] => {{1,2,4,5,6,7,8},{3}}
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [8,3,2,6,1,4,5,7] => {{1,5,7,8},{2,3},{4,6}}
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [8,4,5,6,3,2,1,7] => {{1,7,8},{2,4,6},{3,5}}
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [8,2,3,6,1,4,5,7] => {{1,5,7,8},{2},{3},{4,6}}
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [8,4,2,3,6,1,5,7] => {{1,5,6,7,8},{2,3,4}}
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [8,4,5,3,6,2,1,7] => {{1,7,8},{2,3,4,5,6}}
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => [8,4,3,5,6,2,1,7] => {{1,7,8},{2,4,5,6},{3}}
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [8,3,4,5,6,2,1,7] => {{1,7,8},{2,3,4,5,6}}
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [8,2,3,4,6,1,5,7] => {{1,5,6,7,8},{2},{3},{4}}
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [8,5,4,3,2,6,1,7] => {{1,7,8},{2,5},{3,4},{6}}
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [8,5,3,2,4,6,1,7] => {{1,7,8},{2,4,5},{3},{6}}
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [8,5,2,3,4,6,1,7] => {{1,7,8},{2,3,4,5},{6}}
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [8,4,3,5,2,6,1,7] => {{1,7,8},{2,4,5},{3},{6}}
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [8,3,4,2,5,6,1,7] => {{1,7,8},{2,3,4},{5},{6}}
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [8,3,2,4,5,6,1,7] => {{1,7,8},{2,3},{4},{5},{6}}
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [8,2,3,4,5,6,1,7] => {{1,7,8},{2},{3},{4},{5},{6}}
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [8,5,4,3,2,1,6,7] => {{1,6,7,8},{2,5},{3,4}}
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [8,5,4,2,1,3,6,7] => {{1,2,3,4,5,6,7,8}}
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [8,5,4,1,2,3,6,7] => {{1,3,4,6,7,8},{2,5}}
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [8,5,2,3,4,1,6,7] => {{1,6,7,8},{2,3,4,5}}
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [8,5,3,2,1,4,6,7] => {{1,2,4,5,6,7,8},{3}}
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [8,5,2,1,3,4,6,7] => {{1,4,6,7,8},{2,3,5}}
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [8,5,1,2,3,4,6,7] => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [8,4,5,3,2,1,6,7] => {{1,6,7,8},{2,3,4,5}}
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => [8,3,5,2,4,1,6,7] => {{1,6,7,8},{2,3,4,5}}
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [8,3,5,2,1,4,6,7] => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [8,3,2,5,1,4,6,7] => {{1,4,5,6,7,8},{2,3}}
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [8,3,4,5,2,1,6,7] => {{1,6,7,8},{2,3,4,5}}
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [8,2,3,5,1,4,6,7] => {{1,4,5,6,7,8},{2},{3}}
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [8,4,2,3,5,1,6,7] => {{1,6,7,8},{2,3,4},{5}}
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [8,2,3,4,5,1,6,7] => {{1,6,7,8},{2},{3},{4},{5}}
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [8,4,3,2,1,5,6,7] => {{1,5,6,7,8},{2,4},{3}}
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => [8,4,2,3,1,5,6,7] => {{1,5,6,7,8},{2,3,4}}
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [8,4,2,1,3,5,6,7] => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [8,4,1,2,3,5,6,7] => {{1,3,5,6,7,8},{2,4}}
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => [8,3,4,2,1,5,6,7] => {{1,5,6,7,8},{2,3,4}}
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [8,2,4,1,3,5,6,7] => {{1,3,4,5,6,7,8},{2}}
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [8,2,3,4,1,5,6,7] => {{1,5,6,7,8},{2},{3},{4}}
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [8,3,2,1,4,5,6,7] => {{1,4,5,6,7,8},{2,3}}
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [8,3,1,2,4,5,6,7] => {{1,2,3,4,5,6,7,8}}
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [8,2,3,1,4,5,6,7] => {{1,4,5,6,7,8},{2},{3}}
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [8,2,1,3,4,5,6,7] => {{1,3,4,5,6,7,8},{2}}
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [8,1,2,3,4,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [7,8,6,5,4,3,2,1] => {{1,2,7,8},{3,6},{4,5}}
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [6,8,7,5,4,3,1,2] => {{1,3,6,7},{2,8},{4,5}}
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [6,8,7,5,4,2,1,3] => {{1,2,3,6,7,8},{4,5}}
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [5,8,7,6,4,1,2,3] => {{1,4,5,6},{2,3,7,8}}
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,8,7,5,3,4,2,1] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [6,8,7,5,3,2,4,1] => {{1,2,6,8},{3,4,5,7}}
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [6,8,7,5,3,2,1,4] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [5,8,7,6,3,1,2,4] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,8,7,6,2,3,1,4] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [5,8,7,6,2,1,3,4] => {{1,2,4,5,6,8},{3,7}}
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [4,8,7,6,1,2,3,5] => {{1,2,4,5,6,8},{3,7}}
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,8,7,4,5,3,2,1] => {{1,2,3,6,7,8},{4},{5}}
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,8,7,3,6,2,4,1] => {{1,2,5,6,8},{3,4,7}}
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,8,7,2,6,1,3,5] => {{1,2,4,5,6,8},{3,7}}
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [5,8,7,3,2,6,1,4] => {{1,2,3,4,5,7,8},{6}}
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,8,7,3,4,6,2,1] => {{1,2,3,4,5,7,8},{6}}
[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,6,5,4,8,7,3,2] => [6,8,7,4,3,2,5,1] => {{1,2,6,8},{3,5,7},{4}}
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [5,8,7,3,4,2,6,1] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [5,8,7,3,2,4,6,1] => {{1,2,5,8},{3,4,6,7}}
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [6,8,7,4,3,2,1,5] => {{1,2,3,5,6,7,8},{4}}
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,8,7,2,5,1,3,6] => {{1,2,4,6,8},{3,7},{5}}
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [5,8,7,3,2,1,4,6] => {{1,2,5,6,8},{3,4,7}}
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,5,6,4,7,8,3,2] => [4,8,7,3,1,2,5,6] => {{1,3,4,5,7},{2,6,8}}
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => [4,8,7,2,1,3,5,6] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [3,8,7,1,2,4,5,6] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,8,5,7,4,3,2,1] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,8,4,7,6,3,1,2] => {{1,3,4,5,6,7},{2,8}}
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,8,4,7,6,2,3,1] => {{1,2,5,6,8},{3,4,7}}
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,8,3,7,6,1,2,5] => {{1,2,4,5,6,7,8},{3}}
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,8,4,7,3,6,2,1] => {{1,2,3,4,5,7,8},{6}}
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,8,3,7,2,6,1,5] => {{1,4,7},{2,5,8},{3},{6}}
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,8,3,7,2,5,6,1] => {{1,2,4,5,6,7,8},{3}}
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,8,3,7,5,1,2,6] => {{1,2,4,6,7,8},{3},{5}}
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,8,3,7,2,5,1,6] => {{1,4,7},{2,5,6,8},{3}}
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,8,3,7,2,1,5,6] => {{1,2,4,5,6,7,8},{3}}
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,8,2,7,1,4,5,6] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [6,8,5,4,7,3,2,1] => {{1,2,3,5,6,7,8},{4}}
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [5,8,4,3,7,6,1,2] => {{1,5,7},{2,8},{3,4},{6}}
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [5,8,4,3,7,2,6,1] => {{1,2,5,6,7,8},{3,4}}
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => [5,8,4,3,7,2,1,6] => {{1,5,7},{2,6,8},{3,4}}
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [4,8,3,2,7,1,5,6] => {{1,2,4,6,8},{3},{5,7}}
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,8,2,4,7,1,5,6] => {{1,2,3,6,8},{4},{5,7}}
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [6,8,5,4,3,7,2,1] => {{1,2,6,7,8},{3,5},{4}}
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [5,8,6,3,4,7,2,1] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [4,8,3,5,2,7,1,6] => {{1,2,4,5,6,7,8},{3}}
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [5,8,4,3,6,7,2,1] => {{1,2,5,6,7,8},{3,4}}
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,8,3,5,6,7,2,1] => {{1,2,4,5,6,7,8},{3}}
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [6,8,5,4,3,2,7,1] => {{1,2,6,8},{3,5},{4},{7}}
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [5,8,4,6,3,2,7,1] => {{1,2,3,4,5,6,8},{7}}
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [5,8,4,3,6,2,7,1] => {{1,2,5,6,8},{3,4},{7}}
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [5,8,4,3,2,6,7,1] => {{1,2,5,8},{3,4},{6},{7}}
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,8,2,4,5,6,7,1] => {{1,2,3,8},{4},{5},{6},{7}}
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [6,8,5,4,3,2,1,7] => {{1,2,6,7,8},{3,5},{4}}
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [5,8,6,4,2,1,3,7] => {{1,2,3,5,6,7,8},{4}}
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,5,6,7,4,3,8,2] => [4,8,6,5,1,2,3,7] => {{1,4,5},{2,3,6,7,8}}
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [4,8,6,2,3,1,5,7] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [4,8,6,2,1,3,5,7] => {{1,2,4,5,7,8},{3,6}}
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [3,8,6,1,2,4,5,7] => {{1,3,4,6},{2,5,7,8}}
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,8,3,6,2,5,1,7] => {{1,2,4,5,6,7,8},{3}}
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,8,3,6,2,1,5,7] => {{1,4,6},{2,5,7,8},{3}}
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,8,2,6,1,4,5,7] => {{1,2,3,5,7,8},{4,6}}
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [4,8,3,2,6,1,5,7] => {{1,2,4,5,6,7,8},{3}}
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [4,8,3,5,2,6,1,7] => {{1,2,4,5,7,8},{3},{6}}
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [5,8,4,3,2,1,6,7] => {{1,2,5,6,7,8},{3,4}}
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [4,8,5,2,1,3,6,7] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [4,8,3,2,1,5,6,7] => {{1,2,4,5,6,7,8},{3}}
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [3,8,2,1,4,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [2,8,1,3,4,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [7,6,8,5,4,3,2,1] => {{1,2,3,6,7,8},{4,5}}
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [6,5,8,7,4,3,1,2] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [6,5,8,7,4,2,3,1] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [6,5,8,7,4,2,1,3] => {{1,2,4,5,6,7},{3,8}}
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [5,4,8,7,6,1,2,3] => {{1,5,6},{2,4,7},{3,8}}
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [6,5,8,7,3,4,2,1] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [5,4,8,7,2,6,1,3] => {{1,2,4,5,7},{3,8},{6}}
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [6,5,8,7,3,2,4,1] => {{1,2,3,5,6,8},{4,7}}
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [5,4,8,7,2,3,6,1] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [6,5,8,7,3,2,1,4] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [5,4,8,7,3,1,2,6] => {{1,3,5,6,8},{2,4,7}}
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [5,4,8,7,2,3,1,6] => {{1,2,4,5,7},{3,6,8}}
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [5,4,8,7,2,1,3,6] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [4,3,8,7,1,2,5,6] => {{1,4,5,7},{2,3,6,8}}
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [6,5,8,4,7,3,2,1] => {{1,3,6,8},{2,5,7},{4}}
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [5,4,8,3,7,6,1,2] => {{1,5,7},{2,3,4,8},{6}}
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [5,4,8,3,7,2,6,1] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [2,1,4,7,6,8,5,3] => [5,4,8,3,7,2,1,6] => {{1,5,7},{2,3,4,6,8}}
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [4,3,8,2,7,1,5,6] => {{1,2,3,4,6,8},{5,7}}
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [6,5,8,4,3,7,2,1] => {{1,2,3,5,6,7,8},{4}}
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [5,4,8,3,2,7,1,6] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [4,3,8,2,5,7,1,6] => {{1,2,3,4,6,7,8},{5}}
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [6,5,8,4,3,2,7,1] => {{1,2,3,5,6,8},{4},{7}}
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [5,4,8,6,2,3,7,1] => {{1,2,3,4,5,6,8},{7}}
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [5,4,8,3,6,2,7,1] => {{1,2,3,4,5,6,8},{7}}
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [5,4,8,3,2,6,7,1] => {{1,2,3,4,5,8},{6},{7}}
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [4,3,8,2,5,6,7,1] => {{1,2,3,4,8},{5},{6},{7}}
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [6,5,8,4,3,2,1,7] => {{1,2,3,5,6,7,8},{4}}
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [5,4,8,6,3,1,2,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [5,4,8,6,2,3,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [5,4,8,6,2,1,3,7] => {{1,2,4,5,6},{3,7,8}}
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [4,3,8,6,1,2,5,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [5,4,8,3,6,2,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [4,3,8,2,6,1,5,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [5,4,8,3,2,6,1,7] => {{1,2,3,4,5,7,8},{6}}
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [4,3,8,5,1,2,6,7] => {{1,4,5},{2,3,6,7,8}}
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [4,3,8,2,1,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [3,2,8,1,4,5,6,7] => {{1,3,4,5,6,7,8},{2}}
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,7,8,5,4,3,2,1] => {{1,3,6,8},{2,7},{4,5}}
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,6,8,7,4,3,1,2] => {{1,4,5,7},{2,3,6,8}}
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,5,8,7,6,1,2,3] => {{1,2,4,5,6,7},{3,8}}
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,5,8,7,2,3,6,1] => {{1,3,4,6,7,8},{2,5}}
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,6,8,7,3,2,1,4] => {{1,3,4,5,7,8},{2,6}}
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,5,8,7,2,3,1,6] => {{1,4,7},{2,5},{3,6,8}}
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,4,8,7,1,2,5,6] => {{1,2,3,4,5,6,7,8}}
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,6,8,4,7,3,2,1] => {{1,2,3,5,6,7,8},{4}}
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => [4,5,8,3,7,6,1,2] => {{1,2,3,4,5,7,8},{6}}
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,5,8,3,7,2,6,1] => {{1,3,4,8},{2,5,6,7}}
[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,2,4,7,6,8,5,3] => [4,5,8,3,7,2,1,6] => {{1,2,3,4,5,6,7,8}}
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,4,8,2,7,1,5,6] => {{1,3,6,8},{2,4},{5,7}}
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [5,6,8,4,3,7,2,1] => {{1,3,5,8},{2,6,7},{4}}
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,2,5,4,7,8,6,3] => [4,5,8,3,2,7,1,6] => {{1,3,4,6,7,8},{2,5}}
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,5,8,3,6,7,2,1] => {{1,3,4,8},{2,5,6,7}}
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [5,6,8,4,3,2,7,1] => {{1,3,5,8},{2,6},{4},{7}}
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,4,8,2,5,6,7,1] => {{1,3,8},{2,4},{5},{6},{7}}
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,6,8,4,3,2,1,7] => {{1,3,5,7,8},{2,6},{4}}
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,4,8,6,1,2,5,7] => {{1,3,5,7,8},{2,4,6}}
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [4,5,8,3,2,6,1,7] => {{1,3,4,7,8},{2,5},{6}}
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,5,8,3,2,1,6,7] => {{1,3,4,6,7,8},{2,5}}
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,4,8,2,1,5,6,7] => {{1,3,5,6,7,8},{2,4}}
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,3,8,1,4,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [7,6,5,8,4,3,2,1] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [6,5,4,8,7,3,1,2] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [6,5,4,8,7,2,3,1] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [6,5,4,8,7,2,1,3] => {{1,2,5,6,7},{3,4,8}}
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [6,5,4,8,3,7,2,1] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [5,4,3,8,2,7,1,6] => {{1,2,4,5,6,7,8},{3}}
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [6,5,4,8,3,2,7,1] => {{1,2,3,4,5,6,8},{7}}
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [5,4,3,8,2,6,7,1] => {{1,2,4,5,8},{3},{6},{7}}
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [6,5,4,8,3,2,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [5,4,3,8,2,1,6,7] => {{1,2,4,5,6,7,8},{3}}
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [4,3,2,8,1,5,6,7] => {{1,4,5,6,7,8},{2,3}}
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [7,5,6,8,4,3,2,1] => {{1,2,4,5,7,8},{3,6}}
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [2,3,1,7,8,6,5,4] => [6,4,5,8,7,3,1,2] => {{1,3,5,6,7},{2,4,8}}
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [5,3,4,8,7,1,2,6] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [6,4,5,8,3,2,7,1] => {{1,2,4,6,8},{3,5},{7}}
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [5,3,4,8,2,6,1,7] => {{1,2,3,4,5,7,8},{6}}
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [4,2,3,8,1,5,6,7] => {{1,4,5,6,7,8},{2},{3}}
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [6,7,5,8,4,3,2,1] => {{1,3,4,5,6,8},{2,7}}
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [5,6,4,8,7,2,1,3] => {{1,5,7},{2,6},{3,4,8}}
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [4,5,3,8,7,1,2,6] => {{1,4,6,8},{2,5,7},{3}}
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [5,6,4,8,3,7,2,1] => {{1,3,4,5,8},{2,6,7}}
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [4,5,3,8,2,7,1,6] => {{1,4,6,7,8},{2,5},{3}}
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [5,6,4,8,3,2,1,7] => {{1,3,4,5,7,8},{2,6}}
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [4,5,3,8,6,1,2,7] => {{1,2,4,5,6,7,8},{3}}
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [4,5,3,8,2,6,1,7] => {{1,4,7,8},{2,5},{3},{6}}
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [4,5,3,8,2,1,6,7] => {{1,4,6,7,8},{2,5},{3}}
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [3,4,2,8,1,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [6,5,7,8,4,3,2,1] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [5,4,6,8,7,3,1,2] => {{1,5,7},{2,4,8},{3,6}}
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => [4,3,5,8,7,1,2,6] => {{1,4,6,8},{2,3,5,7}}
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [3,2,4,8,1,5,6,7] => {{1,3,4,5,6,7,8},{2}}
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,6,7,8,4,3,2,1] => {{1,4,5,8},{2,3,6,7}}
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,5,6,8,7,3,1,2] => {{1,2,4,5,7,8},{3,6}}
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,5,6,8,7,2,1,3] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,4,5,8,7,1,2,6] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,5,6,8,3,7,2,1] => {{1,4,8},{2,3,5,6,7}}
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,4,5,8,2,7,1,6] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,4,5,8,2,6,7,1] => {{1,2,3,4,5,8},{6},{7}}
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,5,6,8,3,2,1,7] => {{1,4,7,8},{2,3,5,6}}
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,4,5,8,6,1,2,7] => {{1,3,5,6},{2,4,7,8}}
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,3,4,8,1,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [7,6,5,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}}
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [6,5,4,3,8,7,1,2] => {{1,6,7},{2,5,8},{3,4}}
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [6,5,4,3,8,2,7,1] => {{1,2,5,6,8},{3,4},{7}}
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [6,5,4,3,8,2,1,7] => {{1,2,5,6,7,8},{3,4}}
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [5,4,3,2,8,1,6,7] => {{1,5,6,7,8},{2,4},{3}}
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [7,6,4,5,8,3,2,1] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [6,5,3,4,8,7,1,2] => {{1,6,7},{2,5,8},{3},{4}}
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [6,5,3,4,8,2,7,1] => {{1,2,5,6,8},{3},{4},{7}}
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [6,5,3,4,8,2,1,7] => {{1,2,5,6,7,8},{3},{4}}
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [5,4,2,3,8,1,6,7] => {{1,5,6,7,8},{2,3,4}}
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [7,5,6,4,8,3,2,1] => {{1,2,5,7,8},{3,6},{4}}
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [6,4,5,3,8,7,1,2] => {{1,6,7},{2,3,4,5,8}}
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [6,4,5,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}}
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [6,4,5,3,8,2,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [7,5,4,6,8,3,2,1] => {{1,2,5,7,8},{3,4,6}}
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [6,4,3,5,8,7,1,2] => {{1,6,7},{2,4,5,8},{3}}
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [6,4,3,5,8,2,7,1] => {{1,2,4,5,6,8},{3},{7}}
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [6,4,3,5,8,2,1,7] => {{1,2,4,5,6,7,8},{3}}
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [5,3,2,4,8,1,6,7] => {{1,5,6,7,8},{2,3},{4}}
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [7,4,5,6,8,3,2,1] => {{1,2,3,4,5,6,7,8}}
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [6,3,4,5,8,7,1,2] => {{1,6,7},{2,3,4,5,8}}
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [6,3,4,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}}
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [6,3,4,5,8,2,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [5,2,3,4,8,1,6,7] => {{1,5,6,7,8},{2},{3},{4}}
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [6,7,5,4,8,3,2,1] => {{1,3,5,6,8},{2,7},{4}}
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [4,5,3,2,8,1,6,7] => {{1,2,4,5,6,7,8},{3}}
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [5,7,4,6,8,3,2,1] => {{1,5,8},{2,7},{3,4,6}}
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [4,6,3,5,8,7,1,2] => {{1,2,4,5,6,7,8},{3}}
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [4,6,3,5,8,2,7,1] => {{1,4,5,8},{2,6},{3},{7}}
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [4,6,3,5,8,2,1,7] => {{1,4,5,7,8},{2,6},{3}}
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [3,5,2,4,8,1,6,7] => {{1,2,3,5,6,7,8},{4}}
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [6,5,7,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}}
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [5,4,6,3,8,7,1,2] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [5,4,6,3,8,2,7,1] => {{1,5,8},{2,3,4,6},{7}}
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [5,4,6,3,8,2,1,7] => {{1,5,7,8},{2,3,4,6}}
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [4,3,5,2,8,1,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [5,6,7,4,8,3,2,1] => {{1,5,8},{2,3,6,7},{4}}
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [4,5,6,3,8,7,1,2] => {{1,3,4,6,7},{2,5,8}}
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [4,5,6,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}}
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [4,5,6,3,8,2,1,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [5,4,3,6,8,7,1,2] => {{1,2,4,5,6,7,8},{3}}
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [6,4,5,7,8,3,2,1] => {{1,3,5,6,8},{2,4,7}}
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [5,3,4,6,8,2,1,7] => {{1,5,7,8},{2,3,4,6}}
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [4,2,3,5,8,1,6,7] => {{1,4,5,6,7,8},{2},{3}}
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [5,6,4,7,8,3,2,1] => {{1,5,8},{2,3,4,6,7}}
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [4,5,3,6,8,2,7,1] => {{1,2,4,5,6,8},{3},{7}}
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [5,4,6,7,8,3,2,1] => {{1,5,8},{2,4,7},{3,6}}
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [4,3,5,6,8,7,1,2] => {{1,4,6,7},{2,3,5,8}}
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [3,2,4,5,8,1,6,7] => {{1,3,4,5,6,7,8},{2}}
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}}
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,4,5,6,8,7,1,2] => {{1,2,3,4,5,6,7,8}}
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,4,5,6,8,2,7,1] => {{1,3,5,8},{2,4,6},{7}}
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,3,4,5,8,1,6,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [7,6,5,4,3,8,2,1] => {{1,2,6,7,8},{3,5},{4}}
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [6,5,4,3,2,8,1,7] => {{1,6,7,8},{2,5},{3,4}}
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [7,6,5,3,4,8,2,1] => {{1,2,6,7,8},{3,4,5}}
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [6,5,3,4,2,8,1,7] => {{1,6,7,8},{2,5},{3},{4}}
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [7,6,4,3,5,8,2,1] => {{1,2,6,7,8},{3,4},{5}}
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [7,6,3,4,5,8,2,1] => {{1,2,6,7,8},{3},{4},{5}}
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [6,5,2,3,4,8,1,7] => {{1,6,7,8},{2,3,4,5}}
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [7,5,6,4,3,8,2,1] => {{1,2,3,5,6,7,8},{4}}
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [6,4,5,3,2,8,1,7] => {{1,6,7,8},{2,3,4,5}}
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [6,3,5,2,4,8,1,7] => {{1,6,7,8},{2,3,4,5}}
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [7,5,4,6,3,8,2,1] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [6,4,3,5,2,8,1,7] => {{1,6,7,8},{2,4,5},{3}}
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [7,4,5,6,3,8,2,1] => {{1,2,4,6,7,8},{3,5}}
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [7,5,4,3,6,8,2,1] => {{1,2,5,6,7,8},{3,4}}
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [6,4,3,2,5,8,1,7] => {{1,6,7,8},{2,4},{3},{5}}
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [7,5,3,4,6,8,2,1] => {{1,2,5,6,7,8},{3},{4}}
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [6,4,2,3,5,8,1,7] => {{1,6,7,8},{2,3,4},{5}}
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [7,3,4,5,6,8,2,1] => {{1,2,3,4,5,6,7,8}}
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [6,2,3,4,5,8,1,7] => {{1,6,7,8},{2},{3},{4},{5}}
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [6,7,5,4,3,8,2,1] => {{1,6,8},{2,7},{3,5},{4}}
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [5,6,4,3,2,8,1,7] => {{1,2,5,6,7,8},{3,4}}
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [4,6,3,5,2,8,1,7] => {{1,2,4,5,6,7,8},{3}}
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [5,7,4,3,6,8,2,1] => {{1,5,6,8},{2,7},{3,4}}
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [4,7,3,5,6,8,2,1] => {{1,4,5,6,8},{2,7},{3}}
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6] => [6,5,7,4,3,8,2,1] => {{1,6,8},{2,3,5,7},{4}}
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [5,4,7,3,6,8,2,1] => {{1,5,6,8},{2,3,4,7}}
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [5,6,7,4,3,8,2,1] => {{1,2,3,5,6,7,8},{4}}
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [4,5,6,3,2,8,1,7] => {{1,3,4,6,7,8},{2,5}}
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [4,5,7,3,6,8,2,1] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [4,5,3,6,2,8,1,7] => {{1,4,6,7,8},{2,5},{3}}
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [5,4,6,7,3,8,2,1] => {{1,3,5,6,8},{2,4,7}}
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [4,3,5,6,2,8,1,7] => {{1,4,6,7,8},{2,3,5}}
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}}
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [3,4,5,6,2,8,1,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [6,5,4,3,7,8,2,1] => {{1,6,8},{2,5,7},{3,4}}
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [5,4,3,2,6,8,1,7] => {{1,5,6,7,8},{2,4},{3}}
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [5,3,2,4,6,8,1,7] => {{1,5,6,7,8},{2,3},{4}}
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [6,3,4,5,7,8,2,1] => {{1,6,8},{2,3,4,5,7}}
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [5,2,3,4,6,8,1,7] => {{1,5,6,7,8},{2},{3},{4}}
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [4,6,3,5,7,8,2,1] => {{1,2,4,5,6,7,8},{3}}
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [3,5,2,4,6,8,1,7] => {{1,2,3,5,6,7,8},{4}}
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [4,3,5,2,6,8,1,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [5,4,3,6,7,8,2,1] => {{1,2,4,5,6,7,8},{3}}
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [4,3,2,5,6,8,1,7] => {{1,4,5,6,7,8},{2,3}}
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [4,2,3,5,6,8,1,7] => {{1,4,5,6,7,8},{2},{3}}
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [3,4,2,5,6,8,1,7] => {{1,2,3,4,5,6,7,8}}
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [4,3,5,6,7,8,2,1] => {{1,4,6,8},{2,3,5,7}}
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [3,2,4,5,6,8,1,7] => {{1,3,4,5,6,7,8},{2}}
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}}
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,3,4,5,6,8,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [7,6,5,4,3,2,8,1] => {{1,7,8},{2,6},{3,5},{4}}
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [7,6,5,4,2,3,8,1] => {{1,7,8},{2,3,5,6},{4}}
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [7,6,5,3,4,2,8,1] => {{1,7,8},{2,6},{3,4,5}}
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [7,6,5,3,2,4,8,1] => {{1,7,8},{2,3,4,5,6}}
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [7,6,5,2,3,4,8,1] => {{1,7,8},{2,4,6},{3,5}}
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [7,6,4,5,3,2,8,1] => {{1,7,8},{2,6},{3,4,5}}
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [7,6,3,5,2,4,8,1] => {{1,7,8},{2,4,5,6},{3}}
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [7,6,4,3,5,2,8,1] => {{1,7,8},{2,6},{3,4},{5}}
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [7,6,3,4,5,2,8,1] => {{1,7,8},{2,6},{3},{4},{5}}
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [7,6,4,2,3,5,8,1] => {{1,7,8},{2,3,4,5,6}}
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [7,6,3,2,4,5,8,1] => {{1,7,8},{2,4,5,6},{3}}
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7] => [7,6,2,3,4,5,8,1] => {{1,7,8},{2,3,4,5,6}}
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [7,5,6,4,3,2,8,1] => {{1,7,8},{2,3,5,6},{4}}
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [7,4,6,3,5,2,8,1] => {{1,7,8},{2,3,4,6},{5}}
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [7,4,3,6,2,5,8,1] => {{1,7,8},{2,4,5,6},{3}}
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [7,4,5,6,3,2,8,1] => {{1,7,8},{2,4,6},{3,5}}
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [7,5,4,3,6,2,8,1] => {{1,7,8},{2,5,6},{3,4}}
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [7,4,5,3,6,2,8,1] => {{1,7,8},{2,3,4,5,6}}
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [7,5,4,3,2,6,8,1] => {{1,7,8},{2,5},{3,4},{6}}
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7] => [7,5,4,2,3,6,8,1] => {{1,7,8},{2,3,4,5},{6}}
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [7,5,3,2,4,6,8,1] => {{1,7,8},{2,4,5},{3},{6}}
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [7,5,2,3,4,6,8,1] => {{1,7,8},{2,3,4,5},{6}}
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [7,4,3,5,2,6,8,1] => {{1,7,8},{2,4,5},{3},{6}}
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [7,4,3,2,5,6,8,1] => {{1,7,8},{2,4},{3},{5},{6}}
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [7,2,3,4,5,6,8,1] => {{1,7,8},{2},{3},{4},{5},{6}}
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [6,7,5,4,3,2,8,1] => {{1,2,6,7,8},{3,5},{4}}
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [5,7,6,3,2,4,8,1] => {{1,2,5,7,8},{3,4,6}}
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [6,5,7,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}}
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [5,4,7,6,2,3,8,1] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [5,4,7,3,6,2,8,1] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [5,4,7,3,2,6,8,1] => {{1,2,3,4,5,7,8},{6}}
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [4,3,7,2,5,6,8,1] => {{1,2,3,4,7,8},{5},{6}}
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}}
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [6,4,5,7,3,2,8,1] => {{1,2,4,6,7,8},{3,5}}
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [4,3,5,7,2,6,8,1] => {{1,4,7,8},{2,3,5},{6}}
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [4,5,6,7,3,2,8,1] => {{1,4,7,8},{2,3,5,6}}
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}}
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}}
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [6,5,3,4,7,2,8,1] => {{1,2,5,6,7,8},{3},{4}}
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [6,4,5,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}}
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [6,4,3,5,7,2,8,1] => {{1,2,4,5,6,7,8},{3}}
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [6,3,4,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [4,6,3,5,7,2,8,1] => {{1,4,5,7,8},{2,6},{3}}
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [5,4,6,3,7,2,8,1] => {{1,5,7,8},{2,3,4,6}}
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}}
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}}
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}}
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [3,4,5,6,7,2,8,1] => {{1,3,5,7,8},{2,4,6}}
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [6,5,4,3,2,7,8,1] => {{1,6,7,8},{2,5},{3,4}}
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [6,5,4,2,3,7,8,1] => {{1,6,7,8},{2,3,4,5}}
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [6,5,3,2,4,7,8,1] => {{1,6,7,8},{2,4,5},{3}}
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [6,5,2,3,4,7,8,1] => {{1,6,7,8},{2,3,4,5}}
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [6,3,5,2,4,7,8,1] => {{1,6,7,8},{2,3,4,5}}
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [6,3,4,5,2,7,8,1] => {{1,6,7,8},{2,3,4,5}}
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [6,2,3,4,5,7,8,1] => {{1,6,7,8},{2},{3},{4},{5}}
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [4,6,3,5,2,7,8,1] => {{1,2,4,5,6,7,8},{3}}
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => [5,4,6,3,2,7,8,1] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [4,3,6,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}}
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [4,5,6,3,2,7,8,1] => {{1,3,4,6,7,8},{2,5}}
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [4,3,5,6,2,7,8,1] => {{1,4,6,7,8},{2,3,5}}
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [5,4,3,2,6,7,8,1] => {{1,5,6,7,8},{2,4},{3}}
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [3,4,2,1,5,6,8,7] => [5,4,2,3,6,7,8,1] => {{1,5,6,7,8},{2,3,4}}
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [5,3,2,4,6,7,8,1] => {{1,5,6,7,8},{2,3},{4}}
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [5,2,3,4,6,7,8,1] => {{1,5,6,7,8},{2},{3},{4}}
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}}
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}}
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}}
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}}
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}}
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}}
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}}
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}}
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => {{1,7},{2,6},{3,5},{4},{8}}
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [7,6,5,4,3,1,2,8] => {{1,2,6,7},{3,5},{4},{8}}
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [7,6,5,4,2,3,1,8] => {{1,7},{2,3,5,6},{4},{8}}
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [7,6,5,4,2,1,3,8] => {{1,2,3,5,6,7},{4},{8}}
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [7,6,5,4,1,2,3,8] => {{1,3,5,7},{2,6},{4},{8}}
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [7,6,5,3,4,2,1,8] => {{1,7},{2,6},{3,4,5},{8}}
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [7,6,5,3,2,4,1,8] => {{1,7},{2,3,4,5,6},{8}}
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [7,6,5,2,3,4,1,8] => {{1,7},{2,4,6},{3,5},{8}}
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [7,6,5,3,2,1,4,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [7,6,5,2,3,1,4,8] => {{1,2,4,6,7},{3,5},{8}}
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [7,6,5,2,1,3,4,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [7,6,5,1,2,3,4,8] => {{1,4,7},{2,3,5,6},{8}}
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [7,6,3,5,2,4,1,8] => {{1,7},{2,4,5,6},{3},{8}}
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [7,6,4,3,5,2,1,8] => {{1,7},{2,6},{3,4},{5},{8}}
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [7,6,3,4,5,2,1,8] => {{1,7},{2,6},{3},{4},{5},{8}}
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [7,6,4,3,2,5,1,8] => {{1,7},{2,5,6},{3,4},{8}}
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [4,5,3,7,6,2,1,8] => [7,6,4,2,3,5,1,8] => {{1,7},{2,3,4,5,6},{8}}
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [4,3,5,7,6,2,1,8] => [7,6,3,2,4,5,1,8] => {{1,7},{2,4,5,6},{3},{8}}
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [7,6,4,3,2,1,5,8] => {{1,2,5,6,7},{3,4},{8}}
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [7,6,4,3,1,2,5,8] => {{1,5,7},{2,6},{3,4},{8}}
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [7,6,4,2,1,3,5,8] => {{1,5,7},{2,3,4,6},{8}}
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => [7,6,3,4,2,1,5,8] => {{1,2,5,6,7},{3},{4},{8}}
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => [7,6,3,2,4,1,5,8] => {{1,2,4,5,6,7},{3},{8}}
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [7,6,3,2,1,4,5,8] => {{1,5,7},{2,4,6},{3},{8}}
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [7,6,1,2,3,4,5,8] => {{1,3,5,7},{2,4,6},{8}}
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [7,5,6,4,3,2,1,8] => {{1,7},{2,3,5,6},{4},{8}}
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [7,3,6,2,5,1,4,8] => {{1,2,3,4,6,7},{5},{8}}
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [7,3,6,2,1,4,5,8] => {{1,5,7},{2,3,4,6},{8}}
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [7,5,4,6,3,2,1,8] => {{1,7},{2,3,4,5,6},{8}}
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [7,4,3,6,2,1,5,8] => {{1,2,4,5,6,7},{3},{8}}
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [7,3,2,6,1,4,5,8] => {{1,5,7},{2,3},{4,6},{8}}
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [7,3,4,6,2,1,5,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [7,3,2,4,6,1,5,8] => {{1,5,6,7},{2,3},{4},{8}}
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [7,3,4,5,6,2,1,8] => {{1,7},{2,3,4,5,6},{8}}
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [7,5,4,3,2,6,1,8] => {{1,7},{2,5},{3,4},{6},{8}}
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [7,5,3,4,2,6,1,8] => {{1,7},{2,5},{3},{4},{6},{8}}
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [7,5,3,2,4,6,1,8] => {{1,7},{2,4,5},{3},{6},{8}}
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [7,4,3,5,2,6,1,8] => {{1,7},{2,4,5},{3},{6},{8}}
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [7,4,2,3,5,6,1,8] => {{1,7},{2,3,4},{5},{6},{8}}
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [7,2,3,4,5,6,1,8] => {{1,7},{2},{3},{4},{5},{6},{8}}
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [7,5,4,3,2,1,6,8] => {{1,6,7},{2,5},{3,4},{8}}
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [7,5,4,3,1,2,6,8] => {{1,2,5,6,7},{3,4},{8}}
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [3,4,6,5,2,7,1,8] => [7,5,2,3,4,1,6,8] => {{1,6,7},{2,3,4,5},{8}}
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [7,5,3,2,1,4,6,8] => {{1,2,4,5,6,7},{3},{8}}
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [7,5,3,1,2,4,6,8] => {{1,4,6,7},{2,5},{3},{8}}
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [7,5,2,3,1,4,6,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [7,5,1,2,3,4,6,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [7,3,5,2,1,4,6,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [7,4,3,5,2,1,6,8] => {{1,6,7},{2,4,5},{3},{8}}
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [7,4,2,3,5,1,6,8] => {{1,6,7},{2,3,4},{5},{8}}
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [7,2,3,4,5,1,6,8] => {{1,6,7},{2},{3},{4},{5},{8}}
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [7,4,3,2,1,5,6,8] => {{1,5,6,7},{2,4},{3},{8}}
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [7,4,1,2,3,5,6,8] => {{1,3,5,6,7},{2,4},{8}}
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [7,2,3,4,1,5,6,8] => {{1,5,6,7},{2},{3},{4},{8}}
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [7,3,2,1,4,5,6,8] => {{1,4,5,6,7},{2,3},{8}}
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [7,3,1,2,4,5,6,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [2,4,3,5,6,7,1,8] => [7,2,3,1,4,5,6,8] => {{1,4,5,6,7},{2},{3},{8}}
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [7,2,1,3,4,5,6,8] => {{1,3,4,5,6,7},{2},{8}}
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [7,1,2,3,4,5,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [6,7,5,4,3,2,1,8] => {{1,2,6,7},{3,5},{4},{8}}
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [5,7,6,4,2,1,3,8] => {{1,2,3,5,6,7},{4},{8}}
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,7,6,3,4,2,1,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [5,7,6,3,2,4,1,8] => {{1,2,5,7},{3,4,6},{8}}
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [4,7,6,2,3,1,5,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8] => [3,7,6,1,2,4,5,8] => {{1,3,4,6},{2,5,7},{8}}
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [5,7,4,6,3,2,1,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [4,7,3,6,5,1,2,8] => {{1,4,6},{2,7},{3},{5},{8}}
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,7,3,6,2,5,1,8] => {{1,2,4,5,6,7},{3},{8}}
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,7,2,6,1,4,5,8] => {{1,2,3,5,7},{4,6},{8}}
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [4,7,3,5,2,6,1,8] => {{1,2,4,5,7},{3},{6},{8}}
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [4,7,3,2,5,6,1,8] => {{1,2,4,7},{3},{5},{6},{8}}
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [4,7,5,2,1,3,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,4,5,6,3,7,2,8] => [3,7,5,1,2,4,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,7,3,5,2,1,6,8] => {{1,2,4,5,6,7},{3},{8}}
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,7,2,5,1,4,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [4,7,3,2,5,1,6,8] => {{1,2,4,6,7},{3},{5},{8}}
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,7,2,4,5,1,6,8] => {{1,2,3,6,7},{4},{5},{8}}
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8] => [4,7,3,2,1,5,6,8] => {{1,2,4,5,6,7},{3},{8}}
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [2,7,1,3,4,5,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [6,5,7,4,3,2,1,8] => {{1,2,3,5,6,7},{4},{8}}
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [5,4,7,6,3,1,2,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [4,3,7,2,6,1,5,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [2,1,5,4,6,7,3,8] => [4,3,7,2,1,5,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,6,7,4,3,2,1,8] => {{1,3,5,7},{2,6},{4},{8}}
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [3,4,7,6,1,2,5,8] => {{1,3,5,7},{2,4,6},{8}}
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,2,4,6,5,7,3,8] => [3,4,7,2,5,1,6,8] => {{1,3,6,7},{2,4},{5},{8}}
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [2,3,7,1,4,5,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [6,5,4,7,3,2,1,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [5,4,3,7,6,1,2,8] => {{1,5,6},{2,4,7},{3},{8}}
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [5,4,3,7,2,6,1,8] => {{1,2,4,5,7},{3},{6},{8}}
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [3,2,1,6,5,7,4,8] => [5,4,3,7,2,1,6,8] => {{1,2,4,5,6,7},{3},{8}}
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [4,3,2,7,1,5,6,8] => {{1,4,5,6,7},{2,3},{8}}
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [5,3,4,7,2,1,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [5,6,4,7,3,2,1,8] => {{1,3,4,5,7},{2,6},{8}}
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [4,5,3,7,2,6,1,8] => {{1,4,7},{2,5},{3},{6},{8}}
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [3,4,2,7,1,5,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,5,6,7,3,2,1,8] => {{1,4,7},{2,3,5,6},{8}}
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,3,4,7,1,5,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [6,5,4,3,7,2,1,8] => {{1,2,5,6,7},{3,4},{8}}
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [5,4,3,2,7,1,6,8] => {{1,5,6,7},{2,4},{3},{8}}
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [5,3,2,4,7,1,6,8] => {{1,5,6,7},{2,3},{4},{8}}
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [5,2,3,4,7,1,6,8] => {{1,5,6,7},{2},{3},{4},{8}}
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [5,6,4,3,7,2,1,8] => {{1,5,7},{2,6},{3,4},{8}}
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [4,5,3,2,7,1,6,8] => {{1,2,4,5,6,7},{3},{8}}
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [3,5,2,4,7,1,6,8] => {{1,2,3,5,6,7},{4},{8}}
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [2,1,4,3,6,7,5,8] => [4,3,5,2,7,1,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [3,4,5,2,7,1,6,8] => {{1,3,5,6,7},{2,4},{8}}
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [5,4,3,6,7,2,1,8] => {{1,5,7},{2,4,6},{3},{8}}
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,4,5,6,7,2,1,8] => {{1,3,5,7},{2,4,6},{8}}
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [2,3,4,5,7,1,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [6,5,4,3,2,7,1,8] => {{1,6,7},{2,5},{3,4},{8}}
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [6,3,4,5,2,7,1,8] => {{1,6,7},{2,3,4,5},{8}}
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [6,4,2,3,5,7,1,8] => {{1,6,7},{2,3,4},{5},{8}}
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [6,2,3,4,5,7,1,8] => {{1,6,7},{2},{3},{4},{5},{8}}
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [5,6,4,3,2,7,1,8] => {{1,2,5,6,7},{3,4},{8}}
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [4,6,3,5,2,7,1,8] => {{1,2,4,5,6,7},{3},{8}}
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [5,4,6,3,2,7,1,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [3,4,6,2,5,7,1,8] => {{1,3,6,7},{2,4},{5},{8}}
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [5,4,3,6,2,7,1,8] => {{1,2,4,5,6,7},{3},{8}}
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [5,3,4,6,2,7,1,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [4,5,3,6,2,7,1,8] => {{1,4,6,7},{2,5},{3},{8}}
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [3,4,5,6,2,7,1,8] => {{1,2,3,4,5,6,7},{8}}
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [5,4,3,2,6,7,1,8] => {{1,5,6,7},{2,4},{3},{8}}
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [5,2,3,4,6,7,1,8] => {{1,5,6,7},{2},{3},{4},{8}}
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [3,4,5,2,6,7,1,8] => {{1,3,5,6,7},{2,4},{8}}
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8] => [4,3,2,5,6,7,1,8] => {{1,4,5,6,7},{2,3},{8}}
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [4,2,3,5,6,7,1,8] => {{1,4,5,6,7},{2},{3},{8}}
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [3,4,2,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [3,2,4,5,6,7,1,8] => {{1,3,4,5,6,7},{2},{8}}
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7,8] => {{1,6},{2,5},{3,4},{7},{8}}
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [6,5,4,3,1,2,7,8] => {{1,2,5,6},{3,4},{7},{8}}
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [6,5,4,2,1,3,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [6,5,4,1,2,3,7,8] => {{1,3,4,6},{2,5},{7},{8}}
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [6,5,3,4,2,1,7,8] => {{1,6},{2,5},{3},{4},{7},{8}}
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [6,5,3,2,1,4,7,8] => {{1,2,4,5,6},{3},{7},{8}}
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [6,3,5,2,4,1,7,8] => {{1,6},{2,3,4,5},{7},{8}}
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [6,4,3,2,5,1,7,8] => {{1,6},{2,4},{3},{5},{7},{8}}
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [6,2,3,4,5,1,7,8] => {{1,6},{2},{3},{4},{5},{7},{8}}
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [6,4,3,2,1,5,7,8] => {{1,5,6},{2,4},{3},{7},{8}}
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [6,4,3,1,2,5,7,8] => {{1,2,4,5,6},{3},{7},{8}}
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [6,4,2,1,3,5,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [6,4,1,2,3,5,7,8] => {{1,3,5,6},{2,4},{7},{8}}
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [6,1,2,3,4,5,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [5,6,4,3,2,1,7,8] => {{1,2,5,6},{3,4},{7},{8}}
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [4,6,5,3,1,2,7,8] => {{1,3,4,5},{2,6},{7},{8}}
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [4,6,5,2,1,3,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,6,2,5,1,4,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [4,6,3,2,5,1,7,8] => {{1,2,4,6},{3},{5},{7},{8}}
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [3,6,4,1,2,5,7,8] => {{1,3,4},{2,5,6},{7},{8}}
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [2,6,1,3,4,5,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [4,3,6,5,1,2,7,8] => {{1,4,5},{2,3,6},{7},{8}}
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [4,3,6,2,5,1,7,8] => {{1,2,3,4,6},{5},{7},{8}}
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [4,5,6,3,2,1,7,8] => {{1,3,4,6},{2,5},{7},{8}}
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [3,4,6,5,1,2,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [2,3,6,1,4,5,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [5,4,3,6,2,1,7,8] => {{1,2,4,5,6},{3},{7},{8}}
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [4,3,2,6,1,5,7,8] => {{1,4,5,6},{2,3},{7},{8}}
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [3,4,5,6,2,1,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [2,3,4,6,1,5,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [5,4,3,2,6,1,7,8] => {{1,5,6},{2,4},{3},{7},{8}}
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [5,3,2,4,6,1,7,8] => {{1,5,6},{2,3},{4},{7},{8}}
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [5,2,3,4,6,1,7,8] => {{1,5,6},{2},{3},{4},{7},{8}}
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [4,3,5,2,6,1,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [3,4,5,2,6,1,7,8] => {{1,3,5,6},{2,4},{7},{8}}
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [3,4,2,5,6,1,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [3,2,4,5,6,1,7,8] => {{1,3,4,5,6},{2},{7},{8}}
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [2,3,4,5,6,1,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7,8] => {{1,5},{2,4},{3},{6},{7},{8}}
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [5,4,3,1,2,6,7,8] => {{1,2,4,5},{3},{6},{7},{8}}
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [5,4,2,3,1,6,7,8] => {{1,5},{2,3,4},{6},{7},{8}}
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [5,4,2,1,3,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [5,4,1,2,3,6,7,8] => {{1,3,5},{2,4},{6},{7},{8}}
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [5,3,4,2,1,6,7,8] => {{1,5},{2,3,4},{6},{7},{8}}
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [5,2,4,1,3,6,7,8] => {{1,3,4,5},{2},{6},{7},{8}}
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [5,3,2,4,1,6,7,8] => {{1,5},{2,3},{4},{6},{7},{8}}
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [5,2,3,4,1,6,7,8] => {{1,5},{2},{3},{4},{6},{7},{8}}
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [5,3,2,1,4,6,7,8] => {{1,4,5},{2,3},{6},{7},{8}}
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [5,3,1,2,4,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [5,2,3,1,4,6,7,8] => {{1,4,5},{2},{3},{6},{7},{8}}
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [5,2,1,3,4,6,7,8] => {{1,3,4,5},{2},{6},{7},{8}}
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [5,1,2,3,4,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [4,5,3,2,1,6,7,8] => {{1,2,4,5},{3},{6},{7},{8}}
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [3,5,4,1,2,6,7,8] => {{1,3,4},{2,5},{6},{7},{8}}
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [3,5,2,4,1,6,7,8] => {{1,2,3,5},{4},{6},{7},{8}}
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,4,3,5,2,6,7,8] => [3,5,2,1,4,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [2,5,1,3,4,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [4,3,5,2,1,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [3,2,5,1,4,6,7,8] => {{1,3,4,5},{2},{6},{7},{8}}
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [3,4,5,2,1,6,7,8] => {{1,3,5},{2,4},{6},{7},{8}}
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,2,4,5,3,6,7,8] => [2,3,5,1,4,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [4,3,2,5,1,6,7,8] => {{1,4,5},{2,3},{6},{7},{8}}
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [4,2,3,5,1,6,7,8] => {{1,4,5},{2},{3},{6},{7},{8}}
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [3,4,2,5,1,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => [3,2,4,5,1,6,7,8] => {{1,3,4,5},{2},{6},{7},{8}}
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [2,3,4,5,1,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => {{1,4},{2,3},{5},{6},{7},{8}}
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [4,3,1,2,5,6,7,8] => {{1,2,3,4},{5},{6},{7},{8}}
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => {{1,4},{2},{3},{5},{6},{7},{8}}
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [4,2,1,3,5,6,7,8] => {{1,3,4},{2},{5},{6},{7},{8}}
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [4,1,2,3,5,6,7,8] => {{1,2,3,4},{5},{6},{7},{8}}
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [3,4,2,1,5,6,7,8] => {{1,2,3,4},{5},{6},{7},{8}}
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [2,4,1,3,5,6,7,8] => {{1,2,3,4},{5},{6},{7},{8}}
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [3,2,4,1,5,6,7,8] => {{1,3,4},{2},{5},{6},{7},{8}}
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [2,3,4,1,5,6,7,8] => {{1,2,3,4},{5},{6},{7},{8}}
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => {{1,3},{2},{4},{5},{6},{7},{8}}
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => {{1,2,3},{4},{5},{6},{7},{8}}
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => {{1,2,3},{4},{5},{6},{7},{8}}
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => {{1,2},{3},{4},{5},{6},{7},{8}}
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}}
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => {{1,9},{2,8},{3,7},{4,6},{5}}
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,1,2] => {{1,2,8,9},{3,7},{4,6},{5}}
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [9,8,7,6,5,4,1,2,3] => {{1,3,7,9},{2,8},{4,6},{5}}
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [9,8,7,6,5,1,2,3,4] => {{1,4,6,9},{2,3,7,8},{5}}
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [9,8,7,6,1,2,3,4,5] => {{1,5,9},{2,4,6,8},{3,7}}
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [9,8,7,1,2,3,4,5,6] => {{1,3,4,6,7,9},{2,5,8}}
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [9,8,1,2,3,4,5,6,7] => {{1,3,5,7,9},{2,4,6,8}}
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [9,1,2,3,4,5,6,7,8] => {{1,2,3,4,5,6,7,8,9}}
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,2,1] => {{1,10},{2,9},{3,8},{4,7},{5,6}}
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,1,2] => {{1,2,9,10},{3,8},{4,7},{5,6}}
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [9,8,7,6,5,4,2,3,1] => {{1,9},{2,3,7,8},{4,6},{5}}
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,1,2,3] => {{1,3,8,10},{2,9},{4,7},{5,6}}
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [10,9,8,7,6,5,1,2,3,4] => {{1,4,7,10},{2,3,8,9},{5,6}}
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [10,9,8,7,6,1,2,3,4,5] => {{1,5,6,10},{2,4,7,9},{3,8}}
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [10,9,8,7,1,2,3,4,5,6] => {{1,2,5,6,9,10},{3,4,7,8}}
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [10,9,8,1,2,3,4,5,6,7] => {{1,4,7,10},{2,3,5,6,8,9}}
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [10,9,1,2,3,4,5,6,7,8] => {{1,2,3,4,5,6,7,8,9,10}}
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [2,9,1,3,4,5,6,7,8] => {{1,2,3,4,5,6,7,8,9}}
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [10,1,2,3,4,5,6,7,8,9] => {{1,2,3,4,5,6,7,8,9,10}}
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [9,8,7,6,5,4,2,1,3] => {{1,2,3,7,8,9},{4,6},{5}}
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [9,8,7,6,5,3,2,1,4] => {{1,2,3,4,6,7,8,9},{5}}
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [9,8,7,6,4,3,2,1,5] => {{1,2,3,4,5,6,7,8,9}}
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [9,8,7,5,4,3,2,1,6] => {{1,2,3,6,7,8,9},{4,5}}
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [9,8,6,5,4,3,2,1,7] => {{1,2,7,8,9},{3,6},{4,5}}
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [9,7,6,5,4,3,2,1,8] => {{1,8,9},{2,7},{3,6},{4,5}}
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1,9] => {{1,8},{2,7},{3,6},{4,5},{9}}
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,2,1,3] => {{1,2,3,8,9,10},{4,7},{5,6}}
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [6,8,7,9,5,4,3,2,1] => [9,8,7,6,5,2,3,1,4] => {{1,2,4,6,8,9},{3,7},{5}}
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [10,9,8,7,6,5,3,2,1,4] => {{1,2,3,4,7,8,9,10},{5,6}}
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [5,8,7,6,9,4,3,2,1] => [9,8,7,6,3,4,2,1,5] => {{1,2,3,5,7,8,9},{4,6}}
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [10,9,8,7,6,4,3,2,1,5] => {{1,2,3,4,5,6,7,8,9,10}}
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [4,8,7,6,5,9,3,2,1] => [9,8,7,4,5,3,2,1,6] => {{1,2,3,6,7,8,9},{4},{5}}
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [10,9,8,7,5,4,3,2,1,6] => {{1,2,3,4,6,7,8,9,10},{5}}
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [3,8,7,6,5,4,9,2,1] => [9,8,5,6,4,3,2,1,7] => {{1,2,7,8,9},{3,4,5,6}}
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [10,9,8,6,5,4,3,2,1,7] => {{1,2,3,7,8,9,10},{4,6},{5}}
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [2,8,7,6,5,4,3,9,1] => [9,6,7,5,4,3,2,1,8] => {{1,8,9},{2,3,6,7},{4,5}}
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [10,9,7,6,5,4,3,2,1,8] => {{1,2,8,9,10},{3,7},{4,6},{5}}
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [7,8,6,5,4,3,2,1,9] => {{1,2,7,8},{3,6},{4,5},{9}}
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [10,8,7,6,5,4,3,2,1,9] => {{1,9,10},{2,8},{3,7},{4,6},{5}}
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,2,1,10] => {{1,9},{2,8},{3,7},{4,6},{5},{10}}
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,10,4,9,3,8,2,7,1,6] => {{1,3,4,5,9},{2,6,7,8,10}}
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [9,7,5,3,1,2,4,6,8,10] => {{1,2,3,4,5,6,7,8,9},{10}}
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,1,4,6,5,3,8,10,9,7] => [6,5,8,4,7,3,10,2,9,1] => {{1,2,3,5,6,7,8,10},{4},{9}}
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [6,5,7,4,8,3,9,2,10,1] => {{1,3,6,7,9,10},{2,5,8},{4}}
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [7,6,8,5,9,4,10,3,11,2,12,1] => {{1,2,4,5,6,7,9,10,11,12},{3,8}}
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,3,4,5,6,7,8,9,1] => {{1,2,3,4,5,6,7,8,9}}
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,3,4,5,6,7,8,9,10,1] => {{1,2,3,4,5,6,7,8,9,10}}
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [3,2,4,5,6,7,8,9,1] => {{1,3,4,5,6,7,8,9},{2}}
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [9,2,1,3,4,5,6,7,8] => {{1,3,4,5,6,7,8,9},{2}}
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [2,3,4,5,6,7,8,9,10,11,1] => {{1,2,3,4,5,6,7,8,9,10,11}}
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [3,2,4,5,6,7,8,9,10,1] => {{1,3,4,5,6,7,8,9,10},{2}}
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [3,4,2,5,6,7,8,9,1] => {{1,2,3,4,5,6,7,8,9}}
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [2,3,1,4,5,6,7,9,8] => [4,2,3,5,6,7,8,9,1] => {{1,4,5,6,7,8,9},{2},{3}}
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [2,4,3,5,6,7,8,9,1] => [9,2,3,1,4,5,6,7,8] => {{1,4,5,6,7,8,9},{2},{3}}
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [9,3,1,2,4,5,6,7,8] => {{1,2,3,4,5,6,7,8,9}}
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [10,2,1,3,4,5,6,7,8,9] => {{1,3,4,5,6,7,8,9,10},{2}}
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [11,1,2,3,4,5,6,7,8,9,10] => {{1,2,3,4,5,6,7,8,9,10,11}}
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [2,3,4,5,6,7,9,1,8] => {{1,2,3,4,5,6,7,8,9}}
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [2,3,4,5,6,9,1,7,8] => {{1,2,3,4,5,6,7,8,9}}
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [2,3,4,5,9,1,6,7,8] => {{1,2,3,4,5,6,7,8,9}}
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [2,3,4,9,1,5,6,7,8] => {{1,2,3,4,5,6,7,8,9}}
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [2,3,9,1,4,5,6,7,8] => {{1,2,3,4,5,6,7,8,9}}
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,4,5,6,7,8,9,2,1] => {{1,3,5,7,9},{2,4,6,8}}
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [2,3,4,5,6,7,8,10,1,9] => {{1,2,3,4,5,6,7,8,9,10}}
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [2,3,4,5,6,7,10,1,8,9] => {{1,2,3,4,5,6,7,8,9,10}}
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [2,3,4,5,6,10,1,7,8,9] => {{1,2,3,4,5,6,7,8,9,10}}
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,3,4,5,10,1,6,7,8,9] => {{1,2,3,4,5,6,7,8,9,10}}
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [2,3,4,10,1,5,6,7,8,9] => {{1,2,3,4,5,6,7,8,9,10}}
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [2,3,10,1,4,5,6,7,8,9] => {{1,2,3,4,5,6,7,8,9,10}}
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [2,10,1,3,4,5,6,7,8,9] => {{1,2,3,4,5,6,7,8,9,10}}
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [8,9,7,6,5,4,3,2,1] => {{1,2,8,9},{3,7},{4,6},{5}}
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [8,7,6,5,4,3,1,2,9] => {{1,2,7,8},{3,6},{4,5},{9}}
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [9,10,8,7,6,5,4,3,2,1] => {{1,2,9,10},{3,8},{4,7},{5,6}}
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [10,9,8,7,6,5,4,3,2,1,11] => {{1,10},{2,9},{3,8},{4,7},{5,6},{11}}
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,1,2,10] => {{1,2,8,9},{3,7},{4,6},{5},{10}}
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [8,7,6,5,4,2,1,3,9] => {{1,2,3,6,7,8},{4,5},{9}}
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [10,11,9,8,7,6,5,4,3,2,1] => {{1,2,10,11},{3,9},{4,8},{5,7},{6}}
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [10,8,6,4,2,1,3,5,7,9] => {{1,3,6,7,9,10},{2,5,8},{4}}
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [12,10,8,6,4,2,1,3,5,7,9,11] => {{1,2,4,5,6,7,9,10,11,12},{3,8}}
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [8,7,9,6,5,4,3,2,1] => {{1,2,3,7,8,9},{4,6},{5}}
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [8,7,6,9,5,4,3,2,1] => {{1,2,3,4,6,7,8,9},{5}}
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [8,7,6,5,9,4,3,2,1] => {{1,2,3,4,5,6,7,8,9}}
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [8,7,6,5,4,9,3,2,1] => {{1,2,3,6,7,8,9},{4,5}}
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [8,7,6,5,4,3,9,2,1] => {{1,2,7,8,9},{3,6},{4,5}}
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [8,7,6,5,4,3,2,9,1] => {{1,8,9},{2,7},{3,6},{4,5}}
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [7,8,9,6,5,4,3,2,1] => {{1,3,7,9},{2,8},{4,6},{5}}
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [9,8,10,7,6,5,4,3,2,1] => {{1,2,3,8,9,10},{4,7},{5,6}}
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [8,6,7,9,5,4,3,2,1] => {{1,2,4,6,8,9},{3,7},{5}}
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [9,8,7,10,6,5,4,3,2,1] => {{1,2,3,4,7,8,9,10},{5,6}}
[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [3,4,2,1,9,8,7,6,5] => [8,7,5,6,9,4,3,2,1] => {{1,2,3,5,7,8,9},{4,6}}
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [9,8,7,6,10,5,4,3,2,1] => {{1,2,3,4,5,6,7,8,9,10}}
[[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]] => [4,5,3,2,1,9,8,7,6] => [8,7,6,4,5,9,3,2,1] => {{1,2,3,6,7,8,9},{4},{5}}
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [9,8,7,6,5,10,4,3,2,1] => {{1,2,3,4,6,7,8,9,10},{5}}
[[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]] => [5,6,4,3,2,1,9,8,7] => [8,7,6,5,3,4,9,2,1] => {{1,2,7,8,9},{3,4,5,6}}
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [9,8,7,6,5,4,10,3,2,1] => {{1,2,3,7,8,9,10},{4,6},{5}}
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [6,7,5,4,3,2,1,9,8] => [8,7,6,5,4,2,3,9,1] => {{1,8,9},{2,3,6,7},{4,5}}
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [9,8,7,6,5,4,3,10,2,1] => {{1,2,8,9,10},{3,7},{4,6},{5}}
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [9,8,7,6,5,4,3,2,10,1] => {{1,9,10},{2,8},{3,7},{4,6},{5}}
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8,9] => {{1,7},{2,6},{3,5},{4},{8},{9}}
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,7,8,9] => {{1,6},{2,5},{3,4},{7},{8},{9}}
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => {{1,5},{2,4},{3},{6},{7},{8},{9}}
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => {{1,4},{2,3},{5},{6},{7},{8},{9}}
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => {{1,3},{2},{4},{5},{6},{7},{8},{9}}
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => {{1,2},{3},{4},{5},{6},{7},{8},{9}}
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [8,7,6,5,4,3,2,1,9,10] => {{1,8},{2,7},{3,6},{4,5},{9},{10}}
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [7,6,5,4,3,2,1,8,9,10] => {{1,7},{2,6},{3,5},{4},{8},{9},{10}}
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => {{1,6},{2,5},{3,4},{7},{8},{9},{10}}
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9,10] => {{1,5},{2,4},{3},{6},{7},{8},{9},{10}}
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => {{1,4},{2,3},{5},{6},{7},{8},{9},{10}}
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [3,4,2,1,5,6,7,8,9] => {{1,2,3,4},{5},{6},{7},{8},{9}}
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => {{1,3},{2},{4},{5},{6},{7},{8},{9},{10}}
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => {{1,2,3},{4},{5},{6},{7},{8},{9}}
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => {{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [4,9,8,7,6,5,3,2,1] => [9,8,7,5,6,4,3,2,1] => {{1,9},{2,8},{3,7},{4,5,6}}
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [9,7,8,6,5,4,3,2,1] => {{1,9},{2,3,7,8},{4,6},{5}}
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,10,9,7] => [6,5,7,4,8,3,10,2,9,1] => {{1,3,6,7,10},{2,5,8},{4},{9}}
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [9,2,3,4,5,6,7,8,1] => {{1,9},{2},{3},{4},{5},{6},{7},{8}}
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => {{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [2,1,3,4,5,6,8,7,9] => [3,2,4,5,6,7,8,1,9] => {{1,3,4,5,6,7,8},{2},{9}}
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [2,1,3,4,5,6,8,9,7] => [3,2,4,5,6,7,9,1,8] => {{1,3,4,5,6,7,8,9},{2}}
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [10,2,3,4,5,6,7,8,9,1] => {{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9] => {{1,3,4},{2},{5},{6},{7},{8},{9}}
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [3,2,1,5,4,6,7,8,9] => [4,3,2,5,1,6,7,8,9] => {{1,4,5},{2,3},{6},{7},{8},{9}}
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [6,5,4,3,2,1,8,7,9] => [7,6,5,4,3,2,8,1,9] => {{1,7,8},{2,6},{3,5},{4},{9}}
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [9,7,1,2,3,4,5,6,8] => {{1,2,3,4,5,6,7,8,9}}
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [8,1,2,3,4,5,6,7,9] => {{1,2,3,4,5,6,7,8},{9}}
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => {{1,2,3},{4},{5},{6},{7},{8},{9}}
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,1,2,3,4,5,6,8,9] => {{1,2,3,4,5,6,7},{8},{9}}
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => {{1,2,3},{4},{5},{6},{7},{8},{9},{10}}
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9] => [4,2,3,1,5,6,7,8,9] => {{1,4},{2},{3},{5},{6},{7},{8},{9}}
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [2,3,5,4,1,6,7,8,9] => [5,2,3,4,1,6,7,8,9] => {{1,5},{2},{3},{4},{6},{7},{8},{9}}
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [2,3,4,6,5,1,7,8,9] => [6,2,3,4,5,1,7,8,9] => {{1,6},{2},{3},{4},{5},{7},{8},{9}}
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [2,3,4,5,7,6,1,8,9] => [7,2,3,4,5,6,1,8,9] => {{1,7},{2},{3},{4},{5},{6},{8},{9}}
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [2,3,4,5,6,8,7,1,9] => [8,2,3,4,5,6,7,1,9] => {{1,8},{2},{3},{4},{5},{6},{7},{9}}
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [9,1,2,3,4,5,6,7,8,10] => {{1,2,3,4,5,6,7,8,9},{10}}
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => {{1,2,3,4},{5},{6},{7},{8},{9}}
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => {{1,2,3,4,5},{6},{7},{8},{9}}
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [2,3,4,5,6,1,7,8,9] => {{1,2,3,4,5,6},{7},{8},{9}}
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [2,3,4,5,6,7,1,8,9] => {{1,2,3,4,5,6,7},{8},{9}}
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [2,3,4,5,6,7,8,1,9] => {{1,2,3,4,5,6,7,8},{9}}
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => {{1,2,3},{4},{5},{6},{7},{8},{9},{10}}
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10] => {{1,2,3,4},{5},{6},{7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10] => {{1,2,3,4,5},{6},{7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10] => {{1,2,3,4,5,6},{7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [2,3,4,5,6,7,1,8,9,10] => {{1,2,3,4,5,6,7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [2,3,4,5,6,7,8,1,9,10] => {{1,2,3,4,5,6,7,8},{9},{10}}
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [2,3,4,5,6,7,8,9,1,10] => {{1,2,3,4,5,6,7,8,9},{10}}
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [3,9,2,4,5,6,7,8,1] => {{1,2,3,9},{4},{5},{6},{7},{8}}
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [7,6,5,4,3,2,9,8,1] => [9,7,6,5,4,3,2,8,1] => {{1,9},{2,7},{3,6},{4,5},{8}}
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [6,5,4,3,2,7,8,9,1] => [9,5,4,3,2,1,6,7,8] => {{1,6,7,8,9},{2,5},{3,4}}
[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => [7,6,5,4,3,2,8,9,1] => [9,6,5,4,3,2,1,7,8] => {{1,7,8,9},{2,6},{3,5},{4}}
[.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]] => [8,7,6,5,4,3,2,9,10,1] => [10,7,6,5,4,3,2,1,8,9] => {{1,8,9,10},{2,7},{3,6},{4,5}}
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [7,8,6,5,4,3,2,9,1] => {{1,2,7,8,9},{3,6},{4,5}}
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [7,6,5,4,3,2,9,1,8] => {{1,7,8,9},{2,6},{3,5},{4}}
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [8,9,10,7,6,5,4,3,2,1] => {{1,3,8,10},{2,9},{4,7},{5,6}}
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9] => [7,6,8,5,4,3,2,1,9] => {{1,2,3,6,7,8},{4,5},{9}}
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [8,9,7,6,5,4,3,2,1,10] => {{1,2,8,9},{3,7},{4,6},{5},{10}}
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [1,2,4,5,3,6,7,8,9] => [2,3,5,1,4,6,7,8,9] => {{1,2,3,4,5},{6},{7},{8},{9}}
[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [2,1,4,5,3,6,7,8,9] => [3,2,5,1,4,6,7,8,9] => {{1,3,4,5},{2},{6},{7},{8},{9}}
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [1,3,2,5,4,6,7,8,9] => [3,4,2,5,1,6,7,8,9] => {{1,2,3,4,5},{6},{7},{8},{9}}
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [8,7,6,5,4,3,2,10,9,1] => [10,8,7,6,5,4,3,2,9,1] => {{1,10},{2,8},{3,7},{4,6},{5},{9}}
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [3,2,9,1,4,5,6,7,8] => {{1,3,4,5,6,7,8,9},{2}}
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [2,8,1,3,4,5,6,7,9] => {{1,2,3,4,5,6,7,8},{9}}
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,4,5,6,7,8,9,10,2,1] => {{1,2,3,4,5,6,7,8,9,10}}
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [6,7,8,5,4,3,2,1,9] => [8,7,6,5,4,1,2,3,9] => {{1,3,6,8},{2,7},{4,5},{9}}
[[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],.]] => [5,4,3,2,1,7,8,9,6] => [6,5,4,3,2,9,1,7,8] => {{1,6,7,8,9},{2,5},{3,4}}
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [4,5,6,7,8,9,3,2,1] => {{1,3,4,6,7,9},{2,5,8}}
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [5,6,7,8,9,4,3,2,1] => {{1,5,9},{2,4,6,8},{3,7}}
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [6,7,8,9,5,4,3,2,1] => {{1,4,6,9},{2,3,7,8},{5}}
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [3,4,5,6,7,8,2,9,1] => {{1,2,3,4,5,6,7,8,9}}
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [4,5,6,7,8,9,10,3,2,1] => {{1,4,7,10},{2,3,5,6,8,9}}
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [5,6,7,8,9,10,4,3,2,1] => {{1,2,5,6,9,10},{3,4,7,8}}
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [6,7,8,9,10,5,4,3,2,1] => {{1,5,6,10},{2,4,7,9},{3,8}}
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4] => [7,8,9,10,6,5,4,3,2,1] => {{1,4,7,10},{2,3,8,9},{5,6}}
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9] => [3,4,5,6,7,8,9,2,10,1] => {{1,3,5,7,9,10},{2,4,6,8}}
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [11,10,9,8,7,6,5,4,3,1,2] => {{1,2,10,11},{3,9},{4,8},{5,7},{6}}
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [9,7,6,5,4,3,1,2,8] => {{1,2,7,8,9},{3,6},{4,5}}
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [4,3,1,2,5,6,7,8,9] => {{1,2,3,4},{5},{6},{7},{8},{9}}
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.] => [3,4,2,5,1,6,7,8,9] => [5,3,1,2,4,6,7,8,9] => {{1,2,3,4,5},{6},{7},{8},{9}}
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [8,6,5,4,3,2,1,7,9] => {{1,7,8},{2,6},{3,5},{4},{9}}
[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.] => [7,6,5,8,4,3,2,1,9] => [8,7,6,5,3,2,1,4,9] => {{1,2,3,4,5,6,7,8},{9}}
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [4,5,3,2,1,6,7,8,9] => [5,4,3,1,2,6,7,8,9] => {{1,2,4,5},{3},{6},{7},{8},{9}}
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [8,2,1,3,4,5,6,7,9] => {{1,3,4,5,6,7,8},{2},{9}}
[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.] => [5,4,3,2,1,8,7,6,9] => [7,6,5,4,3,8,2,1,9] => {{1,2,6,7,8},{3,5},{4},{9}}
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [7,6,5,4,3,2,1,9,8,10] => [8,7,6,5,4,3,2,9,1,10] => {{1,8,9},{2,7},{3,6},{4,5},{10}}
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [9,6,7,8,5,4,3,2,1] => {{1,9},{2,4,6,8},{3,7},{5}}
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [2,8,7,6,5,4,3,1,9] => [8,6,7,5,4,3,2,1,9] => {{1,8},{2,3,6,7},{4,5},{9}}
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [8,2,3,4,5,6,7,9,1] => {{1,8,9},{2},{3},{4},{5},{6},{7}}
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [2,4,1,3,5,6,7,8,9] => {{1,2,3,4},{5},{6},{7},{8},{9}}
[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.] => [8,7,6,5,4,3,2,9,1,10] => [9,7,6,5,4,3,2,1,8,10] => {{1,8,9},{2,7},{3,6},{4,5},{10}}
[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,8,10,9,11] => [2,3,4,5,6,7,8,9,10,1,11] => {{1,2,3,4,5,6,7,8,9,10},{11}}
[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.] => [5,6,4,3,2,1,7,8,9] => [6,5,4,3,1,2,7,8,9] => {{1,2,5,6},{3,4},{7},{8},{9}}
[[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.],.] => [5,6,4,3,2,1,7,8,9,10] => [6,5,4,3,1,2,7,8,9,10] => {{1,2,5,6},{3,4},{7},{8},{9},{10}}
[[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.],.] => [6,7,5,4,3,2,1,8,9,10,11] => [7,6,5,4,3,1,2,8,9,10,11] => {{1,2,6,7},{3,5},{4},{8},{9},{10},{11}}
[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.] => [6,7,5,4,3,2,1,8,9,10] => [7,6,5,4,3,1,2,8,9,10] => {{1,2,6,7},{3,5},{4},{8},{9},{10}}
[[[.,[[.,[.,[.,[[.,.],.]]]],.]],.],.] => [5,6,4,3,2,7,1,8,9] => [7,5,4,3,1,2,6,8,9] => {{1,2,5,6,7},{3,4},{8},{9}}
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [8,7,6,5,4,3,2,10,1,9] => {{1,8,9,10},{2,7},{3,6},{4,5}}
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
major-index to inversion-number bijection
Description
Return the permutation whose Lehmer code equals the major code of the preimage.
This map sends the major index to the number of inversions.
This map sends the major index to the number of inversions.
Map
to cycle type
Description
Let $\pi=c_1\dots c_r$ a permutation of size $n$ decomposed in its cyclic parts. The associated set partition of $[n]$ then is $S=S_1\cup\dots\cup S_r$ such that $S_i$ is the set of integers in the cycle $c_i$.
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
searching the database
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