Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00151: Permutations —to cycle type⟶ Set partitions
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ 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] => [2,3,1] => {{1,2,3}}
[.,[[.,.],.]] => [2,3,1] => [3,2,1] => {{1,3},{2}}
[[.,.],[.,.]] => [1,3,2] => [1,3,2] => {{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] => [2,3,4,1] => {{1,2,3,4}}
[.,[.,[[.,.],.]]] => [3,4,2,1] => [2,4,3,1] => {{1,2,4},{3}}
[.,[[.,.],[.,.]]] => [2,4,3,1] => [3,2,4,1] => {{1,3,4},{2}}
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,3,2,1] => {{1,4},{2,3}}
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,2,3,1] => {{1,4},{2},{3}}
[[.,.],[.,[.,.]]] => [1,4,3,2] => [1,3,4,2] => {{1},{2,3,4}}
[[.,.],[[.,.],.]] => [1,3,4,2] => [1,4,3,2] => {{1},{2,4},{3}}
[[.,[.,.]],[.,.]] => [2,1,4,3] => [2,1,4,3] => {{1,2},{3,4}}
[[[.,.],.],[.,.]] => [1,2,4,3] => [1,2,4,3] => {{1},{2},{3,4}}
[[.,[.,[.,.]]],.] => [3,2,1,4] => [2,3,1,4] => {{1,2,3},{4}}
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,2,1,4] => {{1,3},{2},{4}}
[[[.,.],[.,.]],.] => [1,3,2,4] => [1,3,2,4] => {{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] => [2,3,4,5,1] => {{1,2,3,4,5}}
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [2,3,5,4,1] => {{1,2,3,5},{4}}
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [2,4,3,5,1] => {{1,2,4,5},{3}}
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [2,5,4,3,1] => {{1,2,5},{3,4}}
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [2,5,3,4,1] => {{1,2,5},{3},{4}}
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [3,2,4,5,1] => {{1,3,4,5},{2}}
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [3,2,5,4,1] => {{1,3,5},{2},{4}}
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [4,3,2,5,1] => {{1,4,5},{2,3}}
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [4,2,3,5,1] => {{1,4,5},{2},{3}}
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [5,3,4,2,1] => {{1,5},{2,3,4}}
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [5,4,3,2,1] => {{1,5},{2,4},{3}}
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [5,2,4,3,1] => {{1,5},{2},{3,4}}
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [5,3,2,4,1] => {{1,5},{2,3},{4}}
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [5,2,3,4,1] => {{1,5},{2},{3},{4}}
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [1,3,4,5,2] => {{1},{2,3,4,5}}
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [1,3,5,4,2] => {{1},{2,3,5},{4}}
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [1,4,3,5,2] => {{1},{2,4,5},{3}}
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [1,5,4,3,2] => {{1},{2,5},{3,4}}
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [1,5,3,4,2] => {{1},{2,5},{3},{4}}
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [2,1,4,5,3] => {{1,2},{3,4,5}}
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [2,1,5,4,3] => {{1,2},{3,5},{4}}
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [1,2,4,5,3] => {{1},{2},{3,4,5}}
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [1,2,5,4,3] => {{1},{2},{3,5},{4}}
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [2,3,1,5,4] => {{1,2,3},{4,5}}
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [3,2,1,5,4] => {{1,3},{2},{4,5}}
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [1,3,2,5,4] => {{1},{2,3},{4,5}}
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [2,1,3,5,4] => {{1,2},{3},{4,5}}
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [1,2,3,5,4] => {{1},{2},{3},{4,5}}
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [2,3,4,1,5] => {{1,2,3,4},{5}}
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [2,4,3,1,5] => {{1,2,4},{3},{5}}
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [3,2,4,1,5] => {{1,3,4},{2},{5}}
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [4,3,2,1,5] => {{1,4},{2,3},{5}}
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,2,3,1,5] => {{1,4},{2},{3},{5}}
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [1,3,4,2,5] => {{1},{2,3,4},{5}}
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [1,4,3,2,5] => {{1},{2,4},{3},{5}}
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [2,1,4,3,5] => {{1,2},{3,4},{5}}
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [1,2,4,3,5] => {{1},{2},{3,4},{5}}
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [2,3,1,4,5] => {{1,2,3},{4},{5}}
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,2,1,4,5] => {{1,3},{2},{4},{5}}
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [1,3,2,4,5] => {{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] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}}
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}}
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}}
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}}
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [2,3,6,4,5,1] => {{1,2,3,6},{4},{5}}
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}}
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [2,4,3,6,5,1] => {{1,2,4,6},{3},{5}}
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}}
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [2,5,3,4,6,1] => {{1,2,5,6},{3},{4}}
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [2,6,4,5,3,1] => {{1,2,6},{3,4,5}}
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}}
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [2,6,3,5,4,1] => {{1,2,6},{3},{4,5}}
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [2,6,4,3,5,1] => {{1,2,6},{3,4},{5}}
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [2,6,3,4,5,1] => {{1,2,6},{3},{4},{5}}
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}}
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [3,2,4,6,5,1] => {{1,3,4,6},{2},{5}}
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [3,2,5,4,6,1] => {{1,3,5,6},{2},{4}}
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [3,2,6,5,4,1] => {{1,3,6},{2},{4,5}}
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [3,2,6,4,5,1] => {{1,3,6},{2},{4},{5}}
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}}
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [4,3,2,6,5,1] => {{1,4,6},{2,3},{5}}
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [4,2,3,5,6,1] => {{1,4,5,6},{2},{3}}
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [4,2,3,6,5,1] => {{1,4,6},{2},{3},{5}}
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [5,3,4,2,6,1] => {{1,5,6},{2,3,4}}
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [5,4,3,2,6,1] => {{1,5,6},{2,4},{3}}
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [5,2,4,3,6,1] => {{1,5,6},{2},{3,4}}
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [5,3,2,4,6,1] => {{1,5,6},{2,3},{4}}
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [5,2,3,4,6,1] => {{1,5,6},{2},{3},{4}}
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [6,3,4,5,2,1] => {{1,6},{2,3,4,5}}
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [6,3,5,4,2,1] => {{1,6},{2,3,5},{4}}
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [6,4,3,5,2,1] => {{1,6},{2,4,5},{3}}
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [6,5,4,3,2,1] => {{1,6},{2,5},{3,4}}
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [6,5,3,4,2,1] => {{1,6},{2,5},{3},{4}}
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [6,2,4,5,3,1] => {{1,6},{2},{3,4,5}}
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [6,2,5,4,3,1] => {{1,6},{2},{3,5},{4}}
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [6,3,2,5,4,1] => {{1,6},{2,3},{4,5}}
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [6,2,3,5,4,1] => {{1,6},{2},{3},{4,5}}
>>> Load all 1941 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [6,3,4,2,5,1] => {{1,6},{2,3,4},{5}}
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [6,4,3,2,5,1] => {{1,6},{2,4},{3},{5}}
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [6,2,4,3,5,1] => {{1,6},{2},{3,4},{5}}
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [6,3,2,4,5,1] => {{1,6},{2,3},{4},{5}}
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [6,2,3,4,5,1] => {{1,6},{2},{3},{4},{5}}
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [1,3,4,5,6,2] => {{1},{2,3,4,5,6}}
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [1,3,4,6,5,2] => {{1},{2,3,4,6},{5}}
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [1,3,5,4,6,2] => {{1},{2,3,5,6},{4}}
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [1,3,6,5,4,2] => {{1},{2,3,6},{4,5}}
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [1,3,6,4,5,2] => {{1},{2,3,6},{4},{5}}
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [1,4,3,5,6,2] => {{1},{2,4,5,6},{3}}
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [1,4,3,6,5,2] => {{1},{2,4,6},{3},{5}}
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [1,5,4,3,6,2] => {{1},{2,5,6},{3,4}}
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [1,5,3,4,6,2] => {{1},{2,5,6},{3},{4}}
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [1,6,4,5,3,2] => {{1},{2,6},{3,4,5}}
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}}
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [1,6,3,5,4,2] => {{1},{2,6},{3},{4,5}}
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [1,6,4,3,5,2] => {{1},{2,6},{3,4},{5}}
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [1,6,3,4,5,2] => {{1},{2,6},{3},{4},{5}}
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [2,1,4,5,6,3] => {{1,2},{3,4,5,6}}
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [2,1,4,6,5,3] => {{1,2},{3,4,6},{5}}
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [2,1,5,4,6,3] => {{1,2},{3,5,6},{4}}
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}}
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [2,1,6,4,5,3] => {{1,2},{3,6},{4},{5}}
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}}
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [1,2,4,6,5,3] => {{1},{2},{3,4,6},{5}}
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [1,2,5,4,6,3] => {{1},{2},{3,5,6},{4}}
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [1,2,6,5,4,3] => {{1},{2},{3,6},{4,5}}
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [1,2,6,4,5,3] => {{1},{2},{3,6},{4},{5}}
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => {{1,2,3},{4,5,6}}
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [2,3,1,6,5,4] => {{1,2,3},{4,6},{5}}
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [3,2,1,5,6,4] => {{1,3},{2},{4,5,6}}
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [3,2,1,6,5,4] => {{1,3},{2},{4,6},{5}}
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [1,3,2,5,6,4] => {{1},{2,3},{4,5,6}}
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [1,3,2,6,5,4] => {{1},{2,3},{4,6},{5}}
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [2,1,3,5,6,4] => {{1,2},{3},{4,5,6}}
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [2,1,3,6,5,4] => {{1,2},{3},{4,6},{5}}
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}}
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => {{1},{2},{3},{4,6},{5}}
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [2,3,4,1,6,5] => {{1,2,3,4},{5,6}}
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [2,4,3,1,6,5] => {{1,2,4},{3},{5,6}}
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [3,2,4,1,6,5] => {{1,3,4},{2},{5,6}}
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [4,3,2,1,6,5] => {{1,4},{2,3},{5,6}}
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [4,2,3,1,6,5] => {{1,4},{2},{3},{5,6}}
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [1,3,4,2,6,5] => {{1},{2,3,4},{5,6}}
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [1,4,3,2,6,5] => {{1},{2,4},{3},{5,6}}
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => {{1,2},{3,4},{5,6}}
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}}
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [2,3,1,4,6,5] => {{1,2,3},{4},{5,6}}
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [3,2,1,4,6,5] => {{1,3},{2},{4},{5,6}}
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}}
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => {{1,2},{3},{4},{5,6}}
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}}
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [2,3,4,5,1,6] => {{1,2,3,4,5},{6}}
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [2,3,5,4,1,6] => {{1,2,3,5},{4},{6}}
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [2,4,3,5,1,6] => {{1,2,4,5},{3},{6}}
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [2,5,4,3,1,6] => {{1,2,5},{3,4},{6}}
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [2,5,3,4,1,6] => {{1,2,5},{3},{4},{6}}
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [3,2,4,5,1,6] => {{1,3,4,5},{2},{6}}
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [3,2,5,4,1,6] => {{1,3,5},{2},{4},{6}}
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [4,3,2,5,1,6] => {{1,4,5},{2,3},{6}}
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [4,2,3,5,1,6] => {{1,4,5},{2},{3},{6}}
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [5,3,4,2,1,6] => {{1,5},{2,3,4},{6}}
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [5,4,3,2,1,6] => {{1,5},{2,4},{3},{6}}
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [5,2,4,3,1,6] => {{1,5},{2},{3,4},{6}}
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [5,3,2,4,1,6] => {{1,5},{2,3},{4},{6}}
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,2,3,4,1,6] => {{1,5},{2},{3},{4},{6}}
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [1,3,4,5,2,6] => {{1},{2,3,4,5},{6}}
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [1,3,5,4,2,6] => {{1},{2,3,5},{4},{6}}
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [1,4,3,5,2,6] => {{1},{2,4,5},{3},{6}}
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [1,5,4,3,2,6] => {{1},{2,5},{3,4},{6}}
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [1,5,3,4,2,6] => {{1},{2,5},{3},{4},{6}}
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [2,1,4,5,3,6] => {{1,2},{3,4,5},{6}}
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [2,1,5,4,3,6] => {{1,2},{3,5},{4},{6}}
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}}
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => {{1},{2},{3,5},{4},{6}}
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [2,3,1,5,4,6] => {{1,2,3},{4,5},{6}}
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [3,2,1,5,4,6] => {{1,3},{2},{4,5},{6}}
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}}
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => {{1,2},{3},{4,5},{6}}
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}}
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [2,3,4,1,5,6] => {{1,2,3,4},{5},{6}}
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [2,4,3,1,5,6] => {{1,2,4},{3},{5},{6}}
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [3,2,4,1,5,6] => {{1,3,4},{2},{5},{6}}
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,3,2,1,5,6] => {{1,4},{2,3},{5},{6}}
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [4,2,3,1,5,6] => {{1,4},{2},{3},{5},{6}}
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}}
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => {{1},{2,4},{3},{5},{6}}
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => {{1,2},{3,4},{5},{6}}
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}}
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}}
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,2,1,4,5,6] => {{1,3},{2},{4},{5},{6}}
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => {{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] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}}
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}}
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}}
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}}
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}}
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}}
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}}
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}}
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}}
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [2,3,7,5,6,4,1] => {{1,2,3,7},{4,5,6}}
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [2,3,7,6,5,4,1] => {{1,2,3,7},{4,6},{5}}
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [2,3,7,4,6,5,1] => {{1,2,3,7},{4},{5,6}}
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [2,3,7,5,4,6,1] => {{1,2,3,7},{4,5},{6}}
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [2,3,7,4,5,6,1] => {{1,2,3,7},{4},{5},{6}}
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}}
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}}
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}}
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [2,4,3,7,6,5,1] => {{1,2,4,7},{3},{5,6}}
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [2,4,3,7,5,6,1] => {{1,2,4,7},{3},{5},{6}}
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}}
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [2,5,4,3,7,6,1] => {{1,2,5,7},{3,4},{6}}
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}}
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [2,5,3,4,7,6,1] => {{1,2,5,7},{3},{4},{6}}
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [2,6,4,5,3,7,1] => {{1,2,6,7},{3,4,5}}
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [2,6,5,4,3,7,1] => {{1,2,6,7},{3,5},{4}}
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [2,6,3,5,4,7,1] => {{1,2,6,7},{3},{4,5}}
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [2,6,4,3,5,7,1] => {{1,2,6,7},{3,4},{5}}
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [2,6,3,4,5,7,1] => {{1,2,6,7},{3},{4},{5}}
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [2,7,4,5,6,3,1] => {{1,2,7},{3,4,5,6}}
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [2,7,4,6,5,3,1] => {{1,2,7},{3,4,6},{5}}
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [2,7,5,4,6,3,1] => {{1,2,7},{3,5,6},{4}}
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [2,7,6,5,4,3,1] => {{1,2,7},{3,6},{4,5}}
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [2,7,6,4,5,3,1] => {{1,2,7},{3,6},{4},{5}}
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [2,7,3,5,6,4,1] => {{1,2,7},{3},{4,5,6}}
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [2,7,3,6,5,4,1] => {{1,2,7},{3},{4,6},{5}}
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [2,7,4,3,6,5,1] => {{1,2,7},{3,4},{5,6}}
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [2,7,3,4,6,5,1] => {{1,2,7},{3},{4},{5,6}}
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [2,7,4,5,3,6,1] => {{1,2,7},{3,4,5},{6}}
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [2,7,5,4,3,6,1] => {{1,2,7},{3,5},{4},{6}}
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [2,7,3,5,4,6,1] => {{1,2,7},{3},{4,5},{6}}
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [2,7,4,3,5,6,1] => {{1,2,7},{3,4},{5},{6}}
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [2,7,3,4,5,6,1] => {{1,2,7},{3},{4},{5},{6}}
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}}
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}}
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}}
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [3,2,4,7,6,5,1] => {{1,3,4,7},{2},{5,6}}
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [3,2,4,7,5,6,1] => {{1,3,4,7},{2},{5},{6}}
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}}
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [3,2,5,4,7,6,1] => {{1,3,5,7},{2},{4},{6}}
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [3,2,6,5,4,7,1] => {{1,3,6,7},{2},{4,5}}
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [3,2,6,4,5,7,1] => {{1,3,6,7},{2},{4},{5}}
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [3,2,7,5,6,4,1] => {{1,3,7},{2},{4,5,6}}
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [3,2,7,6,5,4,1] => {{1,3,7},{2},{4,6},{5}}
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [3,2,7,4,6,5,1] => {{1,3,7},{2},{4},{5,6}}
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [3,2,7,5,4,6,1] => {{1,3,7},{2},{4,5},{6}}
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [3,2,7,4,5,6,1] => {{1,3,7},{2},{4},{5},{6}}
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}}
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [4,3,2,5,7,6,1] => {{1,4,5,7},{2,3},{6}}
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,3,2,6,5,7,1] => {{1,4,6,7},{2,3},{5}}
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [4,3,2,7,6,5,1] => {{1,4,7},{2,3},{5,6}}
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [4,3,2,7,5,6,1] => {{1,4,7},{2,3},{5},{6}}
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}}
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [4,2,3,5,7,6,1] => {{1,4,5,7},{2},{3},{6}}
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,2,3,6,5,7,1] => {{1,4,6,7},{2},{3},{5}}
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [4,2,3,7,6,5,1] => {{1,4,7},{2},{3},{5,6}}
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [4,2,3,7,5,6,1] => {{1,4,7},{2},{3},{5},{6}}
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [5,3,4,2,6,7,1] => {{1,5,6,7},{2,3,4}}
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [5,3,4,2,7,6,1] => {{1,5,7},{2,3,4},{6}}
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [5,4,3,2,6,7,1] => {{1,5,6,7},{2,4},{3}}
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [5,4,3,2,7,6,1] => {{1,5,7},{2,4},{3},{6}}
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [5,2,4,3,6,7,1] => {{1,5,6,7},{2},{3,4}}
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [5,2,4,3,7,6,1] => {{1,5,7},{2},{3,4},{6}}
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [5,3,2,4,6,7,1] => {{1,5,6,7},{2,3},{4}}
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [5,3,2,4,7,6,1] => {{1,5,7},{2,3},{4},{6}}
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [5,2,3,4,6,7,1] => {{1,5,6,7},{2},{3},{4}}
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [5,2,3,4,7,6,1] => {{1,5,7},{2},{3},{4},{6}}
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [6,3,4,5,2,7,1] => {{1,6,7},{2,3,4,5}}
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [6,3,5,4,2,7,1] => {{1,6,7},{2,3,5},{4}}
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [6,4,3,5,2,7,1] => {{1,6,7},{2,4,5},{3}}
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [6,5,4,3,2,7,1] => {{1,6,7},{2,5},{3,4}}
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [6,5,3,4,2,7,1] => {{1,6,7},{2,5},{3},{4}}
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [6,2,4,5,3,7,1] => {{1,6,7},{2},{3,4,5}}
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [6,2,5,4,3,7,1] => {{1,6,7},{2},{3,5},{4}}
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [6,3,2,5,4,7,1] => {{1,6,7},{2,3},{4,5}}
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [6,2,3,5,4,7,1] => {{1,6,7},{2},{3},{4,5}}
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [6,3,4,2,5,7,1] => {{1,6,7},{2,3,4},{5}}
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [6,4,3,2,5,7,1] => {{1,6,7},{2,4},{3},{5}}
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [6,2,4,3,5,7,1] => {{1,6,7},{2},{3,4},{5}}
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [6,3,2,4,5,7,1] => {{1,6,7},{2,3},{4},{5}}
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [6,2,3,4,5,7,1] => {{1,6,7},{2},{3},{4},{5}}
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [7,3,4,5,6,2,1] => {{1,7},{2,3,4,5,6}}
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [7,3,4,6,5,2,1] => {{1,7},{2,3,4,6},{5}}
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [7,3,5,4,6,2,1] => {{1,7},{2,3,5,6},{4}}
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [7,3,6,5,4,2,1] => {{1,7},{2,3,6},{4,5}}
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [7,3,6,4,5,2,1] => {{1,7},{2,3,6},{4},{5}}
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [7,4,3,5,6,2,1] => {{1,7},{2,4,5,6},{3}}
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [7,4,3,6,5,2,1] => {{1,7},{2,4,6},{3},{5}}
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [7,5,4,3,6,2,1] => {{1,7},{2,5,6},{3,4}}
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [7,5,3,4,6,2,1] => {{1,7},{2,5,6},{3},{4}}
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [7,6,4,5,3,2,1] => {{1,7},{2,6},{3,4,5}}
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [7,6,5,4,3,2,1] => {{1,7},{2,6},{3,5},{4}}
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [7,6,3,5,4,2,1] => {{1,7},{2,6},{3},{4,5}}
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [7,6,4,3,5,2,1] => {{1,7},{2,6},{3,4},{5}}
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [7,6,3,4,5,2,1] => {{1,7},{2,6},{3},{4},{5}}
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [7,2,4,5,6,3,1] => {{1,7},{2},{3,4,5,6}}
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [7,2,4,6,5,3,1] => {{1,7},{2},{3,4,6},{5}}
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [7,2,5,4,6,3,1] => {{1,7},{2},{3,5,6},{4}}
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [7,2,6,5,4,3,1] => {{1,7},{2},{3,6},{4,5}}
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [7,2,6,4,5,3,1] => {{1,7},{2},{3,6},{4},{5}}
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [7,3,2,5,6,4,1] => {{1,7},{2,3},{4,5,6}}
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [7,3,2,6,5,4,1] => {{1,7},{2,3},{4,6},{5}}
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [7,2,3,5,6,4,1] => {{1,7},{2},{3},{4,5,6}}
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [7,2,3,6,5,4,1] => {{1,7},{2},{3},{4,6},{5}}
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [7,3,4,2,6,5,1] => {{1,7},{2,3,4},{5,6}}
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [7,4,3,2,6,5,1] => {{1,7},{2,4},{3},{5,6}}
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [7,2,4,3,6,5,1] => {{1,7},{2},{3,4},{5,6}}
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [7,3,2,4,6,5,1] => {{1,7},{2,3},{4},{5,6}}
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [7,2,3,4,6,5,1] => {{1,7},{2},{3},{4},{5,6}}
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [7,3,4,5,2,6,1] => {{1,7},{2,3,4,5},{6}}
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [7,3,5,4,2,6,1] => {{1,7},{2,3,5},{4},{6}}
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [7,4,3,5,2,6,1] => {{1,7},{2,4,5},{3},{6}}
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [7,5,4,3,2,6,1] => {{1,7},{2,5},{3,4},{6}}
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [7,5,3,4,2,6,1] => {{1,7},{2,5},{3},{4},{6}}
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [7,2,4,5,3,6,1] => {{1,7},{2},{3,4,5},{6}}
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [7,2,5,4,3,6,1] => {{1,7},{2},{3,5},{4},{6}}
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [7,3,2,5,4,6,1] => {{1,7},{2,3},{4,5},{6}}
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [7,2,3,5,4,6,1] => {{1,7},{2},{3},{4,5},{6}}
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [7,3,4,2,5,6,1] => {{1,7},{2,3,4},{5},{6}}
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [7,4,3,2,5,6,1] => {{1,7},{2,4},{3},{5},{6}}
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [7,2,4,3,5,6,1] => {{1,7},{2},{3,4},{5},{6}}
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [7,3,2,4,5,6,1] => {{1,7},{2,3},{4},{5},{6}}
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [7,2,3,4,5,6,1] => {{1,7},{2},{3},{4},{5},{6}}
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}}
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [1,3,4,5,7,6,2] => {{1},{2,3,4,5,7},{6}}
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [1,3,4,6,5,7,2] => {{1},{2,3,4,6,7},{5}}
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [1,3,4,7,6,5,2] => {{1},{2,3,4,7},{5,6}}
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [1,3,4,7,5,6,2] => {{1},{2,3,4,7},{5},{6}}
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [1,3,5,4,6,7,2] => {{1},{2,3,5,6,7},{4}}
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [1,3,5,4,7,6,2] => {{1},{2,3,5,7},{4},{6}}
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [1,3,6,5,4,7,2] => {{1},{2,3,6,7},{4,5}}
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [1,3,6,4,5,7,2] => {{1},{2,3,6,7},{4},{5}}
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [1,3,7,5,6,4,2] => {{1},{2,3,7},{4,5,6}}
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [1,3,7,6,5,4,2] => {{1},{2,3,7},{4,6},{5}}
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [1,3,7,4,6,5,2] => {{1},{2,3,7},{4},{5,6}}
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [1,3,7,5,4,6,2] => {{1},{2,3,7},{4,5},{6}}
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [1,3,7,4,5,6,2] => {{1},{2,3,7},{4},{5},{6}}
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [1,4,3,5,6,7,2] => {{1},{2,4,5,6,7},{3}}
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [1,4,3,5,7,6,2] => {{1},{2,4,5,7},{3},{6}}
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [1,4,3,6,5,7,2] => {{1},{2,4,6,7},{3},{5}}
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [1,4,3,7,6,5,2] => {{1},{2,4,7},{3},{5,6}}
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [1,4,3,7,5,6,2] => {{1},{2,4,7},{3},{5},{6}}
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [1,5,4,3,6,7,2] => {{1},{2,5,6,7},{3,4}}
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [1,5,4,3,7,6,2] => {{1},{2,5,7},{3,4},{6}}
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [1,5,3,4,6,7,2] => {{1},{2,5,6,7},{3},{4}}
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [1,5,3,4,7,6,2] => {{1},{2,5,7},{3},{4},{6}}
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [1,6,4,5,3,7,2] => {{1},{2,6,7},{3,4,5}}
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [1,6,5,4,3,7,2] => {{1},{2,6,7},{3,5},{4}}
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [1,6,3,5,4,7,2] => {{1},{2,6,7},{3},{4,5}}
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [1,6,4,3,5,7,2] => {{1},{2,6,7},{3,4},{5}}
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [1,6,3,4,5,7,2] => {{1},{2,6,7},{3},{4},{5}}
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [1,7,4,5,6,3,2] => {{1},{2,7},{3,4,5,6}}
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [1,7,4,6,5,3,2] => {{1},{2,7},{3,4,6},{5}}
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [1,7,5,4,6,3,2] => {{1},{2,7},{3,5,6},{4}}
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [1,7,6,5,4,3,2] => {{1},{2,7},{3,6},{4,5}}
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [1,7,6,4,5,3,2] => {{1},{2,7},{3,6},{4},{5}}
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [1,7,3,5,6,4,2] => {{1},{2,7},{3},{4,5,6}}
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [1,7,3,6,5,4,2] => {{1},{2,7},{3},{4,6},{5}}
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [1,7,4,3,6,5,2] => {{1},{2,7},{3,4},{5,6}}
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [1,7,3,4,6,5,2] => {{1},{2,7},{3},{4},{5,6}}
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [1,7,4,5,3,6,2] => {{1},{2,7},{3,4,5},{6}}
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [1,7,5,4,3,6,2] => {{1},{2,7},{3,5},{4},{6}}
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [1,7,3,5,4,6,2] => {{1},{2,7},{3},{4,5},{6}}
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [1,7,4,3,5,6,2] => {{1},{2,7},{3,4},{5},{6}}
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [1,7,3,4,5,6,2] => {{1},{2,7},{3},{4},{5},{6}}
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [2,1,4,5,6,7,3] => {{1,2},{3,4,5,6,7}}
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [2,1,4,5,7,6,3] => {{1,2},{3,4,5,7},{6}}
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [2,1,4,6,5,7,3] => {{1,2},{3,4,6,7},{5}}
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [2,1,4,7,6,5,3] => {{1,2},{3,4,7},{5,6}}
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [2,1,4,7,5,6,3] => {{1,2},{3,4,7},{5},{6}}
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [2,1,5,4,6,7,3] => {{1,2},{3,5,6,7},{4}}
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [2,1,5,4,7,6,3] => {{1,2},{3,5,7},{4},{6}}
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [2,1,6,5,4,7,3] => {{1,2},{3,6,7},{4,5}}
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [2,1,6,4,5,7,3] => {{1,2},{3,6,7},{4},{5}}
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [2,1,7,5,6,4,3] => {{1,2},{3,7},{4,5,6}}
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [2,1,7,6,5,4,3] => {{1,2},{3,7},{4,6},{5}}
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [2,1,7,4,6,5,3] => {{1,2},{3,7},{4},{5,6}}
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [2,1,7,5,4,6,3] => {{1,2},{3,7},{4,5},{6}}
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,1,7,4,5,6,3] => {{1,2},{3,7},{4},{5},{6}}
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}}
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [1,2,4,5,7,6,3] => {{1},{2},{3,4,5,7},{6}}
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [1,2,4,6,5,7,3] => {{1},{2},{3,4,6,7},{5}}
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [1,2,4,7,6,5,3] => {{1},{2},{3,4,7},{5,6}}
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [1,2,4,7,5,6,3] => {{1},{2},{3,4,7},{5},{6}}
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [1,2,5,4,6,7,3] => {{1},{2},{3,5,6,7},{4}}
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [1,2,5,4,7,6,3] => {{1},{2},{3,5,7},{4},{6}}
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [1,2,6,5,4,7,3] => {{1},{2},{3,6,7},{4,5}}
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [1,2,6,4,5,7,3] => {{1},{2},{3,6,7},{4},{5}}
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [1,2,7,5,6,4,3] => {{1},{2},{3,7},{4,5,6}}
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [1,2,7,6,5,4,3] => {{1},{2},{3,7},{4,6},{5}}
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [1,2,7,4,6,5,3] => {{1},{2},{3,7},{4},{5,6}}
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [1,2,7,5,4,6,3] => {{1},{2},{3,7},{4,5},{6}}
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [1,2,7,4,5,6,3] => {{1},{2},{3,7},{4},{5},{6}}
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}}
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [2,3,1,5,7,6,4] => {{1,2,3},{4,5,7},{6}}
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [2,3,1,6,5,7,4] => {{1,2,3},{4,6,7},{5}}
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [2,3,1,7,6,5,4] => {{1,2,3},{4,7},{5,6}}
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [2,3,1,7,5,6,4] => {{1,2,3},{4,7},{5},{6}}
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [3,2,1,5,6,7,4] => {{1,3},{2},{4,5,6,7}}
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,5,7,6,4] => {{1,3},{2},{4,5,7},{6}}
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,6,5,7,4] => {{1,3},{2},{4,6,7},{5}}
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,7,6,5,4] => {{1,3},{2},{4,7},{5,6}}
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [3,2,1,7,5,6,4] => {{1,3},{2},{4,7},{5},{6}}
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}}
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [1,3,2,5,7,6,4] => {{1},{2,3},{4,5,7},{6}}
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [1,3,2,6,5,7,4] => {{1},{2,3},{4,6,7},{5}}
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [1,3,2,7,6,5,4] => {{1},{2,3},{4,7},{5,6}}
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [1,3,2,7,5,6,4] => {{1},{2,3},{4,7},{5},{6}}
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [2,1,3,5,6,7,4] => {{1,2},{3},{4,5,6,7}}
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [2,1,3,5,7,6,4] => {{1,2},{3},{4,5,7},{6}}
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [2,1,3,6,5,7,4] => {{1,2},{3},{4,6,7},{5}}
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [2,1,3,7,6,5,4] => {{1,2},{3},{4,7},{5,6}}
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,1,3,7,5,6,4] => {{1,2},{3},{4,7},{5},{6}}
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}}
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [1,2,3,5,7,6,4] => {{1},{2},{3},{4,5,7},{6}}
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [1,2,3,6,5,7,4] => {{1},{2},{3},{4,6,7},{5}}
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [1,2,3,7,6,5,4] => {{1},{2},{3},{4,7},{5,6}}
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => {{1},{2},{3},{4,7},{5},{6}}
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}}
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [2,3,4,1,7,6,5] => {{1,2,3,4},{5,7},{6}}
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [2,4,3,1,6,7,5] => {{1,2,4},{3},{5,6,7}}
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [2,4,3,1,7,6,5] => {{1,2,4},{3},{5,7},{6}}
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,2,4,1,6,7,5] => {{1,3,4},{2},{5,6,7}}
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,4,1,7,6,5] => {{1,3,4},{2},{5,7},{6}}
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [4,3,2,1,6,7,5] => {{1,4},{2,3},{5,6,7}}
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [4,3,2,1,7,6,5] => {{1,4},{2,3},{5,7},{6}}
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [4,2,3,1,6,7,5] => {{1,4},{2},{3},{5,6,7}}
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [4,2,3,1,7,6,5] => {{1,4},{2},{3},{5,7},{6}}
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}}
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [1,3,4,2,7,6,5] => {{1},{2,3,4},{5,7},{6}}
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [1,4,3,2,6,7,5] => {{1},{2,4},{3},{5,6,7}}
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => {{1},{2,4},{3},{5,7},{6}}
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5] => {{1,2},{3,4},{5,6,7}}
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,1,4,3,7,6,5] => {{1,2},{3,4},{5,7},{6}}
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}}
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => {{1},{2},{3,4},{5,7},{6}}
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}}
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [2,3,1,4,7,6,5] => {{1,2,3},{4},{5,7},{6}}
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,4,6,7,5] => {{1,3},{2},{4},{5,6,7}}
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [3,2,1,4,7,6,5] => {{1,3},{2},{4},{5,7},{6}}
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}}
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => {{1},{2,3},{4},{5,7},{6}}
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5] => {{1,2},{3},{4},{5,6,7}}
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,1,3,4,7,6,5] => {{1,2},{3},{4},{5,7},{6}}
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}}
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => {{1},{2},{3},{4},{5,7},{6}}
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [2,3,4,5,1,7,6] => {{1,2,3,4,5},{6,7}}
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [2,3,5,4,1,7,6] => {{1,2,3,5},{4},{6,7}}
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [2,4,3,5,1,7,6] => {{1,2,4,5},{3},{6,7}}
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [2,5,4,3,1,7,6] => {{1,2,5},{3,4},{6,7}}
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [2,5,3,4,1,7,6] => {{1,2,5},{3},{4},{6,7}}
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [3,2,4,5,1,7,6] => {{1,3,4,5},{2},{6,7}}
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,5,4,1,7,6] => {{1,3,5},{2},{4},{6,7}}
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [4,3,2,5,1,7,6] => {{1,4,5},{2,3},{6,7}}
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [4,2,3,5,1,7,6] => {{1,4,5},{2},{3},{6,7}}
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [5,3,4,2,1,7,6] => {{1,5},{2,3,4},{6,7}}
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [5,4,3,2,1,7,6] => {{1,5},{2,4},{3},{6,7}}
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [5,2,4,3,1,7,6] => {{1,5},{2},{3,4},{6,7}}
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [5,3,2,4,1,7,6] => {{1,5},{2,3},{4},{6,7}}
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [5,2,3,4,1,7,6] => {{1,5},{2},{3},{4},{6,7}}
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}}
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [1,3,5,4,2,7,6] => {{1},{2,3,5},{4},{6,7}}
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [1,4,3,5,2,7,6] => {{1},{2,4,5},{3},{6,7}}
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [1,5,4,3,2,7,6] => {{1},{2,5},{3,4},{6,7}}
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [1,5,3,4,2,7,6] => {{1},{2,5},{3},{4},{6,7}}
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [2,1,4,5,3,7,6] => {{1,2},{3,4,5},{6,7}}
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,1,5,4,3,7,6] => {{1,2},{3,5},{4},{6,7}}
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}}
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => {{1},{2},{3,5},{4},{6,7}}
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [2,3,1,5,4,7,6] => {{1,2,3},{4,5},{6,7}}
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [3,2,1,5,4,7,6] => {{1,3},{2},{4,5},{6,7}}
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}}
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => {{1,2},{3},{4,5},{6,7}}
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}}
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [2,3,4,1,5,7,6] => {{1,2,3,4},{5},{6,7}}
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [2,4,3,1,5,7,6] => {{1,2,4},{3},{5},{6,7}}
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,4,1,5,7,6] => {{1,3,4},{2},{5},{6,7}}
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [4,3,2,1,5,7,6] => {{1,4},{2,3},{5},{6,7}}
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [4,2,3,1,5,7,6] => {{1,4},{2},{3},{5},{6,7}}
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}}
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => {{1},{2,4},{3},{5},{6,7}}
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => {{1,2},{3,4},{5},{6,7}}
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}}
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6] => {{1,2,3},{4},{5},{6,7}}
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [3,2,1,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}}
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}}
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}}
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}}
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}}
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [2,3,4,6,5,1,7] => {{1,2,3,4,6},{5},{7}}
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [2,3,5,4,6,1,7] => {{1,2,3,5,6},{4},{7}}
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [2,3,6,5,4,1,7] => {{1,2,3,6},{4,5},{7}}
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [2,3,6,4,5,1,7] => {{1,2,3,6},{4},{5},{7}}
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [2,4,3,5,6,1,7] => {{1,2,4,5,6},{3},{7}}
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [2,4,3,6,5,1,7] => {{1,2,4,6},{3},{5},{7}}
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [2,5,4,3,6,1,7] => {{1,2,5,6},{3,4},{7}}
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [2,5,3,4,6,1,7] => {{1,2,5,6},{3},{4},{7}}
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [2,6,4,5,3,1,7] => {{1,2,6},{3,4,5},{7}}
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [2,6,5,4,3,1,7] => {{1,2,6},{3,5},{4},{7}}
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [2,6,3,5,4,1,7] => {{1,2,6},{3},{4,5},{7}}
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [2,6,4,3,5,1,7] => {{1,2,6},{3,4},{5},{7}}
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [2,6,3,4,5,1,7] => {{1,2,6},{3},{4},{5},{7}}
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [3,2,4,5,6,1,7] => {{1,3,4,5,6},{2},{7}}
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [3,2,4,6,5,1,7] => {{1,3,4,6},{2},{5},{7}}
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [3,2,5,4,6,1,7] => {{1,3,5,6},{2},{4},{7}}
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [3,2,6,5,4,1,7] => {{1,3,6},{2},{4,5},{7}}
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [3,2,6,4,5,1,7] => {{1,3,6},{2},{4},{5},{7}}
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [4,3,2,5,6,1,7] => {{1,4,5,6},{2,3},{7}}
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [4,3,2,6,5,1,7] => {{1,4,6},{2,3},{5},{7}}
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [4,2,3,5,6,1,7] => {{1,4,5,6},{2},{3},{7}}
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [4,2,3,6,5,1,7] => {{1,4,6},{2},{3},{5},{7}}
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [5,3,4,2,6,1,7] => {{1,5,6},{2,3,4},{7}}
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [5,4,3,2,6,1,7] => {{1,5,6},{2,4},{3},{7}}
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [5,2,4,3,6,1,7] => {{1,5,6},{2},{3,4},{7}}
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [5,3,2,4,6,1,7] => {{1,5,6},{2,3},{4},{7}}
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [5,2,3,4,6,1,7] => {{1,5,6},{2},{3},{4},{7}}
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [6,3,4,5,2,1,7] => {{1,6},{2,3,4,5},{7}}
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [6,3,5,4,2,1,7] => {{1,6},{2,3,5},{4},{7}}
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [6,4,3,5,2,1,7] => {{1,6},{2,4,5},{3},{7}}
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [6,5,4,3,2,1,7] => {{1,6},{2,5},{3,4},{7}}
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [6,5,3,4,2,1,7] => {{1,6},{2,5},{3},{4},{7}}
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [6,2,4,5,3,1,7] => {{1,6},{2},{3,4,5},{7}}
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [6,2,5,4,3,1,7] => {{1,6},{2},{3,5},{4},{7}}
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [6,3,2,5,4,1,7] => {{1,6},{2,3},{4,5},{7}}
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [6,2,3,5,4,1,7] => {{1,6},{2},{3},{4,5},{7}}
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [6,3,4,2,5,1,7] => {{1,6},{2,3,4},{5},{7}}
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [6,4,3,2,5,1,7] => {{1,6},{2,4},{3},{5},{7}}
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [6,2,4,3,5,1,7] => {{1,6},{2},{3,4},{5},{7}}
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [6,3,2,4,5,1,7] => {{1,6},{2,3},{4},{5},{7}}
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [6,2,3,4,5,1,7] => {{1,6},{2},{3},{4},{5},{7}}
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}}
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [1,3,4,6,5,2,7] => {{1},{2,3,4,6},{5},{7}}
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [1,3,5,4,6,2,7] => {{1},{2,3,5,6},{4},{7}}
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [1,3,6,5,4,2,7] => {{1},{2,3,6},{4,5},{7}}
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [1,3,6,4,5,2,7] => {{1},{2,3,6},{4},{5},{7}}
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [1,4,3,5,6,2,7] => {{1},{2,4,5,6},{3},{7}}
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [1,4,3,6,5,2,7] => {{1},{2,4,6},{3},{5},{7}}
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [1,5,4,3,6,2,7] => {{1},{2,5,6},{3,4},{7}}
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [1,5,3,4,6,2,7] => {{1},{2,5,6},{3},{4},{7}}
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [1,6,4,5,3,2,7] => {{1},{2,6},{3,4,5},{7}}
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [1,6,5,4,3,2,7] => {{1},{2,6},{3,5},{4},{7}}
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [1,6,3,5,4,2,7] => {{1},{2,6},{3},{4,5},{7}}
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [1,6,4,3,5,2,7] => {{1},{2,6},{3,4},{5},{7}}
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [1,6,3,4,5,2,7] => {{1},{2,6},{3},{4},{5},{7}}
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [2,1,4,5,6,3,7] => {{1,2},{3,4,5,6},{7}}
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [2,1,4,6,5,3,7] => {{1,2},{3,4,6},{5},{7}}
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [2,1,5,4,6,3,7] => {{1,2},{3,5,6},{4},{7}}
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [2,1,6,5,4,3,7] => {{1,2},{3,6},{4,5},{7}}
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,1,6,4,5,3,7] => {{1,2},{3,6},{4},{5},{7}}
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}}
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [1,2,4,6,5,3,7] => {{1},{2},{3,4,6},{5},{7}}
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [1,2,5,4,6,3,7] => {{1},{2},{3,5,6},{4},{7}}
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [1,2,6,5,4,3,7] => {{1},{2},{3,6},{4,5},{7}}
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => {{1},{2},{3,6},{4},{5},{7}}
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => {{1,2,3},{4,5,6},{7}}
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [2,3,1,6,5,4,7] => {{1,2,3},{4,6},{5},{7}}
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,5,6,4,7] => {{1,3},{2},{4,5,6},{7}}
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [3,2,1,6,5,4,7] => {{1,3},{2},{4,6},{5},{7}}
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}}
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => {{1},{2,3},{4,6},{5},{7}}
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [2,1,3,5,6,4,7] => {{1,2},{3},{4,5,6},{7}}
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,1,3,6,5,4,7] => {{1,2},{3},{4,6},{5},{7}}
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}}
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => {{1},{2},{3},{4,6},{5},{7}}
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [2,3,4,1,6,5,7] => {{1,2,3,4},{5,6},{7}}
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [2,4,3,1,6,5,7] => {{1,2,4},{3},{5,6},{7}}
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,2,4,1,6,5,7] => {{1,3,4},{2},{5,6},{7}}
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [4,3,2,1,6,5,7] => {{1,4},{2,3},{5,6},{7}}
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [4,2,3,1,6,5,7] => {{1,4},{2},{3},{5,6},{7}}
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}}
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => {{1},{2,4},{3},{5,6},{7}}
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => {{1,2},{3,4},{5,6},{7}}
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}}
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [2,3,1,4,6,5,7] => {{1,2,3},{4},{5,6},{7}}
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [3,2,1,4,6,5,7] => {{1,3},{2},{4},{5,6},{7}}
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}}
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => {{1,2},{3},{4},{5,6},{7}}
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}}
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}}
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [2,3,5,4,1,6,7] => {{1,2,3,5},{4},{6},{7}}
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [2,4,3,5,1,6,7] => {{1,2,4,5},{3},{6},{7}}
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [2,5,4,3,1,6,7] => {{1,2,5},{3,4},{6},{7}}
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [2,5,3,4,1,6,7] => {{1,2,5},{3},{4},{6},{7}}
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [3,2,4,5,1,6,7] => {{1,3,4,5},{2},{6},{7}}
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [3,2,5,4,1,6,7] => {{1,3,5},{2},{4},{6},{7}}
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [4,3,2,5,1,6,7] => {{1,4,5},{2,3},{6},{7}}
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [4,2,3,5,1,6,7] => {{1,4,5},{2},{3},{6},{7}}
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [5,3,4,2,1,6,7] => {{1,5},{2,3,4},{6},{7}}
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,4,3,2,1,6,7] => {{1,5},{2,4},{3},{6},{7}}
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [5,2,4,3,1,6,7] => {{1,5},{2},{3,4},{6},{7}}
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [5,3,2,4,1,6,7] => {{1,5},{2,3},{4},{6},{7}}
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [5,2,3,4,1,6,7] => {{1,5},{2},{3},{4},{6},{7}}
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}}
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [1,3,5,4,2,6,7] => {{1},{2,3,5},{4},{6},{7}}
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [1,4,3,5,2,6,7] => {{1},{2,4,5},{3},{6},{7}}
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [1,5,4,3,2,6,7] => {{1},{2,5},{3,4},{6},{7}}
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => {{1},{2,5},{3},{4},{6},{7}}
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [2,1,4,5,3,6,7] => {{1,2},{3,4,5},{6},{7}}
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,1,5,4,3,6,7] => {{1,2},{3,5},{4},{6},{7}}
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}}
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => {{1},{2},{3,5},{4},{6},{7}}
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [2,3,1,5,4,6,7] => {{1,2,3},{4,5},{6},{7}}
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [3,2,1,5,4,6,7] => {{1,3},{2},{4,5},{6},{7}}
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}}
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => {{1,2},{3},{4,5},{6},{7}}
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}}
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}}
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [2,4,3,1,5,6,7] => {{1,2,4},{3},{5},{6},{7}}
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [3,2,4,1,5,6,7] => {{1,3,4},{2},{5},{6},{7}}
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [4,3,2,1,5,6,7] => {{1,4},{2,3},{5},{6},{7}}
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [4,2,3,1,5,6,7] => {{1,4},{2},{3},{5},{6},{7}}
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}}
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => {{1},{2,4},{3},{5},{6},{7}}
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => {{1,2},{3,4},{5},{6},{7}}
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}}
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}}
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}}
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => {{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] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}}
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}}
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [2,3,4,5,8,6,7,1] => {{1,2,3,4,5,8},{6},{7}}
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}}
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [2,3,4,6,5,8,7,1] => {{1,2,3,4,6,8},{5},{7}}
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}}
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [2,3,4,7,5,6,8,1] => {{1,2,3,4,7,8},{5},{6}}
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [2,3,4,8,6,7,5,1] => {{1,2,3,4,8},{5,6,7}}
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [2,3,4,8,7,6,5,1] => {{1,2,3,4,8},{5,7},{6}}
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [2,3,4,8,5,7,6,1] => {{1,2,3,4,8},{5},{6,7}}
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [2,3,4,8,6,5,7,1] => {{1,2,3,4,8},{5,6},{7}}
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [2,3,4,8,5,6,7,1] => {{1,2,3,4,8},{5},{6},{7}}
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}}
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [2,3,5,4,7,6,8,1] => {{1,2,3,5,7,8},{4},{6}}
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => [2,3,5,4,8,7,6,1] => {{1,2,3,5,8},{4},{6,7}}
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [4,6,7,8,5,3,2,1] => [2,3,5,4,8,6,7,1] => {{1,2,3,5,8},{4},{6},{7}}
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [5,4,8,7,6,3,2,1] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}}
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [2,3,6,4,5,7,8,1] => {{1,2,3,6,7,8},{4},{5}}
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [4,5,7,8,6,3,2,1] => [2,3,6,4,5,8,7,1] => {{1,2,3,6,8},{4},{5},{7}}
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [6,5,4,8,7,3,2,1] => [2,3,7,5,6,4,8,1] => {{1,2,3,7,8},{4,5,6}}
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [5,6,4,8,7,3,2,1] => [2,3,7,6,5,4,8,1] => {{1,2,3,7,8},{4,6},{5}}
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [2,3,7,4,6,5,8,1] => {{1,2,3,7,8},{4},{5,6}}
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [5,4,6,8,7,3,2,1] => [2,3,7,5,4,6,8,1] => {{1,2,3,7,8},{4,5},{6}}
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [2,3,7,4,5,6,8,1] => {{1,2,3,7,8},{4},{5},{6}}
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [2,3,8,5,6,7,4,1] => {{1,2,3,8},{4,5,6,7}}
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [2,3,8,5,7,6,4,1] => {{1,2,3,8},{4,5,7},{6}}
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [2,3,8,7,6,5,4,1] => {{1,2,3,8},{4,7},{5,6}}
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [2,3,8,4,6,7,5,1] => {{1,2,3,8},{4},{5,6,7}}
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [2,3,8,5,6,4,7,1] => {{1,2,3,8},{4,5,6},{7}}
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [2,3,8,6,5,4,7,1] => {{1,2,3,8},{4,6},{5},{7}}
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [2,3,8,5,4,6,7,1] => {{1,2,3,8},{4,5},{6},{7}}
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [2,3,8,4,5,6,7,1] => {{1,2,3,8},{4},{5},{6},{7}}
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}}
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [2,4,3,5,6,8,7,1] => {{1,2,4,5,6,8},{3},{7}}
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [2,4,3,5,7,6,8,1] => {{1,2,4,5,7,8},{3},{6}}
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [3,6,7,8,5,4,2,1] => [2,4,3,5,8,6,7,1] => {{1,2,4,5,8},{3},{6},{7}}
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [2,4,3,6,5,7,8,1] => {{1,2,4,6,7,8},{3},{5}}
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [2,4,3,6,5,8,7,1] => {{1,2,4,6,8},{3},{5},{7}}
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [3,6,5,8,7,4,2,1] => [2,4,3,7,6,5,8,1] => {{1,2,4,7,8},{3},{5,6}}
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [2,4,3,7,5,6,8,1] => {{1,2,4,7,8},{3},{5},{6}}
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [3,6,7,5,8,4,2,1] => [2,4,3,8,7,6,5,1] => {{1,2,4,8},{3},{5,7},{6}}
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [3,6,5,7,8,4,2,1] => [2,4,3,8,6,5,7,1] => {{1,2,4,8},{3},{5,6},{7}}
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [2,4,3,8,5,6,7,1] => {{1,2,4,8},{3},{5},{6},{7}}
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}}
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [4,3,7,8,6,5,2,1] => [2,5,4,3,6,8,7,1] => {{1,2,5,6,8},{3,4},{7}}
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [4,3,6,8,7,5,2,1] => [2,5,4,3,7,6,8,1] => {{1,2,5,7,8},{3,4},{6}}
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [4,3,7,6,8,5,2,1] => [2,5,4,3,8,7,6,1] => {{1,2,5,8},{3,4},{6,7}}
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [2,5,4,3,8,6,7,1] => {{1,2,5,8},{3,4},{6},{7}}
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [2,5,3,4,6,7,8,1] => {{1,2,5,6,7,8},{3},{4}}
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [3,4,7,8,6,5,2,1] => [2,5,3,4,6,8,7,1] => {{1,2,5,6,8},{3},{4},{7}}
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [3,4,6,8,7,5,2,1] => [2,5,3,4,7,6,8,1] => {{1,2,5,7,8},{3},{4},{6}}
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [3,4,7,6,8,5,2,1] => [2,5,3,4,8,7,6,1] => {{1,2,5,8},{3},{4},{6,7}}
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [2,5,3,4,8,6,7,1] => {{1,2,5,8},{3},{4},{6},{7}}
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [2,6,4,5,3,7,8,1] => {{1,2,6,7,8},{3,4,5}}
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [4,5,3,8,7,6,2,1] => [2,6,5,4,3,7,8,1] => {{1,2,6,7,8},{3,5},{4}}
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [4,5,3,7,8,6,2,1] => [2,6,5,4,3,8,7,1] => {{1,2,6,8},{3,5},{4},{7}}
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [3,5,4,8,7,6,2,1] => [2,6,3,5,4,7,8,1] => {{1,2,6,7,8},{3},{4,5}}
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [4,3,5,8,7,6,2,1] => [2,6,4,3,5,7,8,1] => {{1,2,6,7,8},{3,4},{5}}
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [4,3,5,7,8,6,2,1] => [2,6,4,3,5,8,7,1] => {{1,2,6,8},{3,4},{5},{7}}
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [2,6,3,4,5,7,8,1] => {{1,2,6,7,8},{3},{4},{5}}
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [2,6,3,4,5,8,7,1] => {{1,2,6,8},{3},{4},{5},{7}}
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [2,7,4,5,6,3,8,1] => {{1,2,7,8},{3,4,5,6}}
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => [2,7,4,6,5,3,8,1] => {{1,2,7,8},{3,4,6},{5}}
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [4,6,5,3,8,7,2,1] => [2,7,5,4,6,3,8,1] => {{1,2,7,8},{3,5,6},{4}}
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [5,4,6,3,8,7,2,1] => [2,7,6,5,4,3,8,1] => {{1,2,7,8},{3,6},{4,5}}
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [4,5,6,3,8,7,2,1] => [2,7,6,4,5,3,8,1] => {{1,2,7,8},{3,6},{4},{5}}
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [3,6,5,4,8,7,2,1] => [2,7,3,5,6,4,8,1] => {{1,2,7,8},{3},{4,5,6}}
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [2,7,4,3,6,5,8,1] => {{1,2,7,8},{3,4},{5,6}}
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1] => [2,7,5,4,3,6,8,1] => {{1,2,7,8},{3,5},{4},{6}}
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [3,5,4,6,8,7,2,1] => [2,7,3,5,4,6,8,1] => {{1,2,7,8},{3},{4,5},{6}}
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [4,3,5,6,8,7,2,1] => [2,7,4,3,5,6,8,1] => {{1,2,7,8},{3,4},{5},{6}}
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [2,8,4,5,6,7,3,1] => {{1,2,8},{3,4,5,6,7}}
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [2,8,4,7,6,5,3,1] => {{1,2,8},{3,4,7},{5,6}}
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [4,7,6,5,3,8,2,1] => [2,8,5,4,6,7,3,1] => {{1,2,8},{3,5,6,7},{4}}
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [4,6,7,5,3,8,2,1] => [2,8,5,4,7,6,3,1] => {{1,2,8},{3,5,7},{4},{6}}
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [2,8,7,5,6,4,3,1] => {{1,2,8},{3,7},{4,5,6}}
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [5,6,4,7,3,8,2,1] => [2,8,7,6,5,4,3,1] => {{1,2,8},{3,7},{4,6},{5}}
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [4,6,5,7,3,8,2,1] => [2,8,7,4,6,5,3,1] => {{1,2,8},{3,7},{4},{5,6}}
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [2,8,7,5,4,6,3,1] => {{1,2,8},{3,7},{4,5},{6}}
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [2,8,7,4,5,6,3,1] => {{1,2,8},{3,7},{4},{5},{6}}
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [2,8,3,5,6,7,4,1] => {{1,2,8},{3},{4,5,6,7}}
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [3,6,7,5,4,8,2,1] => [2,8,3,5,7,6,4,1] => {{1,2,8},{3},{4,5,7},{6}}
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [3,6,5,7,4,8,2,1] => [2,8,3,7,6,5,4,1] => {{1,2,8},{3},{4,7},{5,6}}
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [2,8,3,7,5,6,4,1] => {{1,2,8},{3},{4,7},{5},{6}}
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [2,8,4,3,6,7,5,1] => {{1,2,8},{3,4},{5,6,7}}
[.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [4,3,6,7,5,8,2,1] => [2,8,4,3,7,6,5,1] => {{1,2,8},{3,4},{5,7},{6}}
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [4,5,3,7,6,8,2,1] => [2,8,5,4,3,7,6,1] => {{1,2,8},{3,5},{4},{6,7}}
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [2,8,3,5,4,7,6,1] => {{1,2,8},{3},{4,5},{6,7}}
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [4,3,5,7,6,8,2,1] => [2,8,4,3,5,7,6,1] => {{1,2,8},{3,4},{5},{6,7}}
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [2,8,3,4,5,7,6,1] => {{1,2,8},{3},{4},{5},{6,7}}
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [2,8,4,5,6,3,7,1] => {{1,2,8},{3,4,5,6},{7}}
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [5,6,4,3,7,8,2,1] => [2,8,4,6,5,3,7,1] => {{1,2,8},{3,4,6},{5},{7}}
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1] => [2,8,4,3,6,5,7,1] => {{1,2,8},{3,4},{5,6},{7}}
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [2,8,4,5,3,6,7,1] => {{1,2,8},{3,4,5},{6},{7}}
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [4,5,3,6,7,8,2,1] => [2,8,5,4,3,6,7,1] => {{1,2,8},{3,5},{4},{6},{7}}
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [2,8,4,3,5,6,7,1] => {{1,2,8},{3,4},{5},{6},{7}}
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [2,8,3,4,5,6,7,1] => {{1,2,8},{3},{4},{5},{6},{7}}
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}}
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [3,2,4,5,6,8,7,1] => {{1,3,4,5,6,8},{2},{7}}
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [3,2,4,5,7,6,8,1] => {{1,3,4,5,7,8},{2},{6}}
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [3,2,4,5,8,6,7,1] => {{1,3,4,5,8},{2},{6},{7}}
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [2,5,7,8,6,4,3,1] => [3,2,4,6,5,8,7,1] => {{1,3,4,6,8},{2},{5},{7}}
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [2,6,5,8,7,4,3,1] => [3,2,4,7,6,5,8,1] => {{1,3,4,7,8},{2},{5,6}}
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [2,5,6,8,7,4,3,1] => [3,2,4,7,5,6,8,1] => {{1,3,4,7,8},{2},{5},{6}}
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [2,7,6,5,8,4,3,1] => [3,2,4,8,6,7,5,1] => {{1,3,4,8},{2},{5,6,7}}
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [3,2,4,8,7,6,5,1] => {{1,3,4,8},{2},{5,7},{6}}
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [3,2,4,8,5,6,7,1] => {{1,3,4,8},{2},{5},{6},{7}}
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}}
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [3,2,5,4,6,8,7,1] => {{1,3,5,6,8},{2},{4},{7}}
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [3,2,5,4,7,6,8,1] => {{1,3,5,7,8},{2},{4},{6}}
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [3,2,5,4,8,6,7,1] => {{1,3,5,8},{2},{4},{6},{7}}
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [3,2,6,5,4,8,7,1] => {{1,3,6,8},{2},{4,5},{7}}
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [3,2,7,5,6,4,8,1] => {{1,3,7,8},{2},{4,5,6}}
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [3,2,7,6,5,4,8,1] => {{1,3,7,8},{2},{4,6},{5}}
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [3,2,7,4,6,5,8,1] => {{1,3,7,8},{2},{4},{5,6}}
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [2,6,7,5,4,8,3,1] => [3,2,8,5,7,6,4,1] => {{1,3,8},{2},{4,5,7},{6}}
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [2,6,5,7,4,8,3,1] => [3,2,8,7,6,5,4,1] => {{1,3,8},{2},{4,7},{5,6}}
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [3,2,8,7,5,6,4,1] => {{1,3,8},{2},{4,7},{5},{6}}
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [3,2,8,5,4,7,6,1] => {{1,3,8},{2},{4,5},{6,7}}
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [3,2,8,5,6,4,7,1] => {{1,3,8},{2},{4,5,6},{7}}
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [3,2,8,4,6,5,7,1] => {{1,3,8},{2},{4},{5,6},{7}}
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [3,2,8,5,4,6,7,1] => {{1,3,8},{2},{4,5},{6},{7}}
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [3,2,8,4,5,6,7,1] => {{1,3,8},{2},{4},{5},{6},{7}}
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}}
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [3,2,7,8,6,5,4,1] => [4,3,2,5,6,8,7,1] => {{1,4,5,6,8},{2,3},{7}}
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [4,3,2,5,7,6,8,1] => {{1,4,5,7,8},{2,3},{6}}
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [3,2,7,6,8,5,4,1] => [4,3,2,5,8,7,6,1] => {{1,4,5,8},{2,3},{6,7}}
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [3,2,5,8,7,6,4,1] => [4,3,2,6,5,7,8,1] => {{1,4,6,7,8},{2,3},{5}}
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,3,2,6,5,8,7,1] => {{1,4,6,8},{2,3},{5},{7}}
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [3,2,6,5,8,7,4,1] => [4,3,2,7,6,5,8,1] => {{1,4,7,8},{2,3},{5,6}}
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [3,2,5,6,8,7,4,1] => [4,3,2,7,5,6,8,1] => {{1,4,7,8},{2,3},{5},{6}}
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [3,2,7,6,5,8,4,1] => [4,3,2,8,6,7,5,1] => {{1,4,8},{2,3},{5,6,7}}
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [3,2,6,7,5,8,4,1] => [4,3,2,8,7,6,5,1] => {{1,4,8},{2,3},{5,7},{6}}
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,3,2,8,5,7,6,1] => {{1,4,8},{2,3},{5},{6,7}}
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [4,3,2,8,5,6,7,1] => {{1,4,8},{2,3},{5},{6},{7}}
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}}
[.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [2,3,7,8,6,5,4,1] => [4,2,3,5,6,8,7,1] => {{1,4,5,6,8},{2},{3},{7}}
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,2,3,6,5,8,7,1] => {{1,4,6,8},{2},{3},{5},{7}}
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,3,7,6,5,8,1] => {{1,4,7,8},{2},{3},{5,6}}
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,2,3,7,5,6,8,1] => {{1,4,7,8},{2},{3},{5},{6}}
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [2,3,6,7,5,8,4,1] => [4,2,3,8,7,6,5,1] => {{1,4,8},{2},{3},{5,7},{6}}
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,2,3,8,5,7,6,1] => {{1,4,8},{2},{3},{5},{6,7}}
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [4,2,3,8,5,6,7,1] => {{1,4,8},{2},{3},{5},{6},{7}}
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3,4,2,6,7,8,1] => {{1,5,6,7,8},{2,3,4}}
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [4,3,2,6,8,7,5,1] => [5,3,4,2,7,6,8,1] => {{1,5,7,8},{2,3,4},{6}}
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [4,3,2,6,7,8,5,1] => [5,3,4,2,8,6,7,1] => {{1,5,8},{2,3,4},{6},{7}}
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,4,3,2,6,7,8,1] => {{1,5,6,7,8},{2,4},{3}}
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [5,4,3,2,6,8,7,1] => {{1,5,6,8},{2,4},{3},{7}}
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [3,4,2,6,8,7,5,1] => [5,4,3,2,7,6,8,1] => {{1,5,7,8},{2,4},{3},{6}}
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [3,4,2,7,6,8,5,1] => [5,4,3,2,8,7,6,1] => {{1,5,8},{2,4},{3},{6,7}}
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [3,4,2,6,7,8,5,1] => [5,4,3,2,8,6,7,1] => {{1,5,8},{2,4},{3},{6},{7}}
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [5,2,4,3,7,6,8,1] => {{1,5,7,8},{2},{3,4},{6}}
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [5,3,2,4,6,7,8,1] => {{1,5,6,7,8},{2,3},{4}}
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,2,3,4,6,7,8,1] => {{1,5,6,7,8},{2},{3},{4}}
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [5,2,3,4,8,7,6,1] => {{1,5,8},{2},{3},{4},{6,7}}
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [5,2,3,4,8,6,7,1] => {{1,5,8},{2},{3},{4},{6},{7}}
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [6,3,4,5,2,7,8,1] => {{1,6,7,8},{2,3,4,5}}
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [6,3,4,5,2,8,7,1] => {{1,6,8},{2,3,4,5},{7}}
[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [4,5,3,2,8,7,6,1] => [6,3,5,4,2,7,8,1] => {{1,6,7,8},{2,3,5},{4}}
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [4,3,5,2,8,7,6,1] => [6,5,4,3,2,7,8,1] => {{1,6,7,8},{2,5},{3,4}}
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [6,4,3,2,5,8,7,1] => {{1,6,8},{2,4},{3},{5},{7}}
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [6,2,3,4,5,7,8,1] => {{1,6,7,8},{2},{3},{4},{5}}
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [6,2,3,4,5,8,7,1] => {{1,6,8},{2},{3},{4},{5},{7}}
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [7,3,4,5,6,2,8,1] => {{1,7,8},{2,3,4,5,6}}
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [7,3,5,4,6,2,8,1] => {{1,7,8},{2,3,5,6},{4}}
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [7,3,6,5,4,2,8,1] => {{1,7,8},{2,3,6},{4,5}}
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1] => [7,3,6,4,5,2,8,1] => {{1,7,8},{2,3,6},{4},{5}}
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [7,4,3,6,5,2,8,1] => {{1,7,8},{2,4,6},{3},{5}}
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [7,5,4,3,6,2,8,1] => {{1,7,8},{2,5,6},{3,4}}
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [7,6,4,5,3,2,8,1] => {{1,7,8},{2,6},{3,4,5}}
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [7,6,5,4,3,2,8,1] => {{1,7,8},{2,6},{3,5},{4}}
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [3,5,4,6,2,8,7,1] => [7,6,3,5,4,2,8,1] => {{1,7,8},{2,6},{3},{4,5}}
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [3,4,5,6,2,8,7,1] => [7,6,3,4,5,2,8,1] => {{1,7,8},{2,6},{3},{4},{5}}
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [7,2,6,4,5,3,8,1] => {{1,7,8},{2},{3,6},{4},{5}}
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [7,3,2,5,6,4,8,1] => {{1,7,8},{2,3},{4,5,6}}
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [7,3,4,2,6,5,8,1] => {{1,7,8},{2,3,4},{5,6}}
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [3,4,2,6,5,8,7,1] => [7,4,3,2,6,5,8,1] => {{1,7,8},{2,4},{3},{5,6}}
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [7,2,4,3,6,5,8,1] => {{1,7,8},{2},{3,4},{5,6}}
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [3,5,4,2,6,8,7,1] => [7,4,3,5,2,6,8,1] => {{1,7,8},{2,4,5},{3},{6}}
[.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [4,3,5,2,6,8,7,1] => [7,5,4,3,2,6,8,1] => {{1,7,8},{2,5},{3,4},{6}}
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [2,5,4,3,6,8,7,1] => [7,2,4,5,3,6,8,1] => {{1,7,8},{2},{3,4,5},{6}}
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [7,4,3,2,5,6,8,1] => {{1,7,8},{2,4},{3},{5},{6}}
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [7,3,2,4,5,6,8,1] => {{1,7,8},{2,3},{4},{5},{6}}
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [7,2,3,4,5,6,8,1] => {{1,7,8},{2},{3},{4},{5},{6}}
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [8,3,4,5,6,7,2,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [8,3,4,5,7,6,2,1] => {{1,8},{2,3,4,5,7},{6}}
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [8,3,4,7,6,5,2,1] => {{1,8},{2,3,4,7},{5,6}}
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => [8,3,5,4,6,7,2,1] => {{1,8},{2,3,5,6,7},{4}}
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => [8,3,5,4,7,6,2,1] => {{1,8},{2,3,5,7},{4},{6}}
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [5,4,7,6,3,2,8,1] => [8,3,6,5,4,7,2,1] => {{1,8},{2,3,6,7},{4,5}}
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [8,3,7,5,6,4,2,1] => {{1,8},{2,3,7},{4,5,6}}
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [5,6,4,7,3,2,8,1] => [8,3,7,6,5,4,2,1] => {{1,8},{2,3,7},{4,6},{5}}
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [8,3,7,4,6,5,2,1] => {{1,8},{2,3,7},{4},{5,6}}
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [8,3,7,4,5,6,2,1] => {{1,8},{2,3,7},{4},{5},{6}}
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [3,7,6,5,4,2,8,1] => [8,4,3,5,6,7,2,1] => {{1,8},{2,4,5,6,7},{3}}
[.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [3,6,7,5,4,2,8,1] => [8,4,3,5,7,6,2,1] => {{1,8},{2,4,5,7},{3},{6}}
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [8,4,3,7,5,6,2,1] => {{1,8},{2,4,7},{3},{5},{6}}
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [8,5,4,3,6,7,2,1] => {{1,8},{2,5,6,7},{3,4}}
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [4,3,6,7,5,2,8,1] => [8,5,4,3,7,6,2,1] => {{1,8},{2,5,7},{3,4},{6}}
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1] => [8,5,3,4,6,7,2,1] => {{1,8},{2,5,6,7},{3},{4}}
[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [8,5,3,4,7,6,2,1] => {{1,8},{2,5,7},{3},{4},{6}}
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [4,5,3,7,6,2,8,1] => [8,6,5,4,3,7,2,1] => {{1,8},{2,6,7},{3,5},{4}}
[.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [4,3,5,7,6,2,8,1] => [8,6,4,3,5,7,2,1] => {{1,8},{2,6,7},{3,4},{5}}
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [8,7,4,5,6,3,2,1] => {{1,8},{2,7},{3,4,5,6}}
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [5,6,4,3,7,2,8,1] => [8,7,4,6,5,3,2,1] => {{1,8},{2,7},{3,4,6},{5}}
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [8,7,5,4,6,3,2,1] => {{1,8},{2,7},{3,5,6},{4}}
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [8,7,6,5,4,3,2,1] => {{1,8},{2,7},{3,6},{4,5}}
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [8,7,6,4,5,3,2,1] => {{1,8},{2,7},{3,6},{4},{5}}
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [8,7,3,5,6,4,2,1] => {{1,8},{2,7},{3},{4,5,6}}
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [8,7,3,6,5,4,2,1] => {{1,8},{2,7},{3},{4,6},{5}}
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [8,7,4,3,6,5,2,1] => {{1,8},{2,7},{3,4},{5,6}}
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [8,7,3,4,6,5,2,1] => {{1,8},{2,7},{3},{4},{5,6}}
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [8,7,4,5,3,6,2,1] => {{1,8},{2,7},{3,4,5},{6}}
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [8,7,5,4,3,6,2,1] => {{1,8},{2,7},{3,5},{4},{6}}
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [3,5,4,6,7,2,8,1] => [8,7,3,5,4,6,2,1] => {{1,8},{2,7},{3},{4,5},{6}}
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [8,7,4,3,5,6,2,1] => {{1,8},{2,7},{3,4},{5},{6}}
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [8,7,3,4,5,6,2,1] => {{1,8},{2,7},{3},{4},{5},{6}}
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [8,2,4,5,6,7,3,1] => {{1,8},{2},{3,4,5,6,7}}
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [8,2,4,7,6,5,3,1] => {{1,8},{2},{3,4,7},{5,6}}
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [8,2,4,7,5,6,3,1] => {{1,8},{2},{3,4,7},{5},{6}}
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [8,2,5,4,7,6,3,1] => {{1,8},{2},{3,5,7},{4},{6}}
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [8,2,6,5,4,7,3,1] => {{1,8},{2},{3,6,7},{4,5}}
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [2,4,5,7,6,3,8,1] => [8,2,6,4,5,7,3,1] => {{1,8},{2},{3,6,7},{4},{5}}
[.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [2,5,6,4,7,3,8,1] => [8,2,7,6,5,4,3,1] => {{1,8},{2},{3,7},{4,6},{5}}
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [8,2,7,4,6,5,3,1] => {{1,8},{2},{3,7},{4},{5,6}}
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [8,2,7,5,4,6,3,1] => {{1,8},{2},{3,7},{4,5},{6}}
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [8,2,7,4,5,6,3,1] => {{1,8},{2},{3,7},{4},{5},{6}}
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [8,3,2,5,6,7,4,1] => {{1,8},{2,3},{4,5,6,7}}
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [8,3,2,5,7,6,4,1] => {{1,8},{2,3},{4,5,7},{6}}
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [8,3,2,6,5,7,4,1] => {{1,8},{2,3},{4,6,7},{5}}
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [8,3,2,7,6,5,4,1] => {{1,8},{2,3},{4,7},{5,6}}
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [8,3,2,7,5,6,4,1] => {{1,8},{2,3},{4,7},{5},{6}}
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [8,2,3,5,6,7,4,1] => {{1,8},{2},{3},{4,5,6,7}}
[.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [2,3,6,7,5,4,8,1] => [8,2,3,5,7,6,4,1] => {{1,8},{2},{3},{4,5,7},{6}}
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [8,2,3,7,5,6,4,1] => {{1,8},{2},{3},{4,7},{5},{6}}
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [3,4,2,7,6,5,8,1] => [8,4,3,2,6,7,5,1] => {{1,8},{2,4},{3},{5,6,7}}
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [8,4,3,2,7,6,5,1] => {{1,8},{2,4},{3},{5,7},{6}}
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [8,2,4,3,6,7,5,1] => {{1,8},{2},{3,4},{5,6,7}}
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [8,2,4,3,7,6,5,1] => {{1,8},{2},{3,4},{5,7},{6}}
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => [8,3,2,4,6,7,5,1] => {{1,8},{2,3},{4},{5,6,7}}
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [3,2,4,6,7,5,8,1] => [8,3,2,4,7,6,5,1] => {{1,8},{2,3},{4},{5,7},{6}}
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [8,2,3,4,7,6,5,1] => {{1,8},{2},{3},{4},{5,7},{6}}
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [8,3,4,5,2,7,6,1] => {{1,8},{2,3,4,5},{6,7}}
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [8,5,4,3,2,7,6,1] => {{1,8},{2,5},{3,4},{6,7}}
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [8,5,3,4,2,7,6,1] => {{1,8},{2,5},{3},{4},{6,7}}
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [2,5,4,3,7,6,8,1] => [8,2,4,5,3,7,6,1] => {{1,8},{2},{3,4,5},{6,7}}
[.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [2,4,5,3,7,6,8,1] => [8,2,5,4,3,7,6,1] => {{1,8},{2},{3,5},{4},{6,7}}
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [8,3,2,5,4,7,6,1] => {{1,8},{2,3},{4,5},{6,7}}
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [8,2,3,5,4,7,6,1] => {{1,8},{2},{3},{4,5},{6,7}}
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [8,4,3,2,5,7,6,1] => {{1,8},{2,4},{3},{5},{6,7}}
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [8,2,3,4,5,7,6,1] => {{1,8},{2},{3},{4},{5},{6,7}}
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [8,3,4,5,6,2,7,1] => {{1,8},{2,3,4,5,6},{7}}
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [8,3,6,5,4,2,7,1] => {{1,8},{2,3,6},{4,5},{7}}
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [8,3,6,4,5,2,7,1] => {{1,8},{2,3,6},{4},{5},{7}}
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [3,6,5,4,2,7,8,1] => [8,4,3,5,6,2,7,1] => {{1,8},{2,4,5,6},{3},{7}}
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [4,3,6,5,2,7,8,1] => [8,5,4,3,6,2,7,1] => {{1,8},{2,5,6},{3,4},{7}}
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [8,6,4,5,3,2,7,1] => {{1,8},{2,6},{3,4,5},{7}}
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [4,5,3,6,2,7,8,1] => [8,6,5,4,3,2,7,1] => {{1,8},{2,6},{3,5},{4},{7}}
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [3,5,4,6,2,7,8,1] => [8,6,3,5,4,2,7,1] => {{1,8},{2,6},{3},{4,5},{7}}
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [8,6,4,3,5,2,7,1] => {{1,8},{2,6},{3,4},{5},{7}}
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [8,6,3,4,5,2,7,1] => {{1,8},{2,6},{3},{4},{5},{7}}
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [8,2,6,5,4,3,7,1] => {{1,8},{2},{3,6},{4,5},{7}}
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => [8,2,6,4,5,3,7,1] => {{1,8},{2},{3,6},{4},{5},{7}}
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [8,2,3,6,5,4,7,1] => {{1,8},{2},{3},{4,6},{5},{7}}
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [4,3,2,6,5,7,8,1] => [8,3,4,2,6,5,7,1] => {{1,8},{2,3,4},{5,6},{7}}
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [8,4,3,2,6,5,7,1] => {{1,8},{2,4},{3},{5,6},{7}}
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [8,2,4,3,6,5,7,1] => {{1,8},{2},{3,4},{5,6},{7}}
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [8,3,4,5,2,6,7,1] => {{1,8},{2,3,4,5},{6},{7}}
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [8,3,5,4,2,6,7,1] => {{1,8},{2,3,5},{4},{6},{7}}
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [8,5,4,3,2,6,7,1] => {{1,8},{2,5},{3,4},{6},{7}}
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [8,5,3,4,2,6,7,1] => {{1,8},{2,5},{3},{4},{6},{7}}
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [8,2,5,4,3,6,7,1] => {{1,8},{2},{3,5},{4},{6},{7}}
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [8,2,3,5,4,6,7,1] => {{1,8},{2},{3},{4,5},{6},{7}}
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [8,3,4,2,5,6,7,1] => {{1,8},{2,3,4},{5},{6},{7}}
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [8,4,3,2,5,6,7,1] => {{1,8},{2,4},{3},{5},{6},{7}}
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [8,3,2,4,5,6,7,1] => {{1,8},{2,3},{4},{5},{6},{7}}
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1] => {{1,8},{2},{3},{4},{5},{6},{7}}
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}}
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [1,3,4,5,6,8,7,2] => {{1},{2,3,4,5,6,8},{7}}
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [1,3,4,5,7,6,8,2] => {{1},{2,3,4,5,7,8},{6}}
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [1,3,4,5,8,7,6,2] => {{1},{2,3,4,5,8},{6,7}}
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [1,3,4,5,8,6,7,2] => {{1},{2,3,4,5,8},{6},{7}}
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [1,3,4,6,5,7,8,2] => {{1},{2,3,4,6,7,8},{5}}
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [1,3,4,7,6,5,8,2] => {{1},{2,3,4,7,8},{5,6}}
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [1,3,4,8,7,6,5,2] => {{1},{2,3,4,8},{5,7},{6}}
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [1,3,4,8,5,6,7,2] => {{1},{2,3,4,8},{5},{6},{7}}
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [1,3,5,4,7,6,8,2] => {{1},{2,3,5,7,8},{4},{6}}
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,4,7,6,8,5,3,2] => [1,3,5,4,8,7,6,2] => {{1},{2,3,5,8},{4},{6,7}}
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [1,3,6,5,4,8,7,2] => {{1},{2,3,6,8},{4,5},{7}}
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [1,3,6,4,5,7,8,2] => {{1},{2,3,6,7,8},{4},{5}}
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [1,3,6,4,5,8,7,2] => {{1},{2,3,6,8},{4},{5},{7}}
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [1,3,8,5,6,7,4,2] => {{1},{2,3,8},{4,5,6,7}}
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [1,6,7,5,4,8,3,2] => [1,3,8,5,7,6,4,2] => {{1},{2,3,8},{4,5,7},{6}}
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [1,6,5,7,4,8,3,2] => [1,3,8,7,6,5,4,2] => {{1},{2,3,8},{4,7},{5,6}}
[[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [1,5,6,7,4,8,3,2] => [1,3,8,7,5,6,4,2] => {{1},{2,3,8},{4,7},{5},{6}}
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [1,3,8,4,6,7,5,2] => {{1},{2,3,8},{4},{5,6,7}}
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,5,4,7,6,8,3,2] => [1,3,8,5,4,7,6,2] => {{1},{2,3,8},{4,5},{6,7}}
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => [1,3,8,5,4,6,7,2] => {{1},{2,3,8},{4,5},{6},{7}}
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [1,3,8,4,5,6,7,2] => {{1},{2,3,8},{4},{5},{6},{7}}
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [1,4,3,5,6,7,8,2] => {{1},{2,4,5,6,7,8},{3}}
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,3,7,6,8,5,4,2] => [1,4,3,5,8,7,6,2] => {{1},{2,4,5,8},{3},{6,7}}
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [1,4,3,5,8,6,7,2] => {{1},{2,4,5,8},{3},{6},{7}}
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [1,4,3,6,5,7,8,2] => {{1},{2,4,6,7,8},{3},{5}}
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [1,4,3,6,5,8,7,2] => {{1},{2,4,6,8},{3},{5},{7}}
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,3,7,6,5,8,4,2] => [1,4,3,8,6,7,5,2] => {{1},{2,4,8},{3},{5,6,7}}
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [1,4,3,8,7,6,5,2] => {{1},{2,4,8},{3},{5,7},{6}}
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [1,4,3,8,5,7,6,2] => {{1},{2,4,8},{3},{5},{6,7}}
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [1,4,3,8,6,5,7,2] => {{1},{2,4,8},{3},{5,6},{7}}
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [1,4,3,8,5,6,7,2] => {{1},{2,4,8},{3},{5},{6},{7}}
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [1,5,4,3,6,7,8,2] => {{1},{2,5,6,7,8},{3,4}}
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [1,5,4,3,6,8,7,2] => {{1},{2,5,6,8},{3,4},{7}}
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => [1,5,4,3,8,7,6,2] => {{1},{2,5,8},{3,4},{6,7}}
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [1,5,3,4,6,7,8,2] => {{1},{2,5,6,7,8},{3},{4}}
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [1,5,3,4,8,6,7,2] => {{1},{2,5,8},{3},{4},{6},{7}}
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,5,4,3,7,8,6,2] => [1,6,4,5,3,8,7,2] => {{1},{2,6,8},{3,4,5},{7}}
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [1,6,5,4,3,8,7,2] => {{1},{2,6,8},{3,5},{4},{7}}
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [1,6,3,5,4,8,7,2] => {{1},{2,6,8},{3},{4,5},{7}}
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [1,6,4,3,5,8,7,2] => {{1},{2,6,8},{3,4},{5},{7}}
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [1,6,3,4,5,8,7,2] => {{1},{2,6,8},{3},{4},{5},{7}}
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [1,7,4,5,6,3,8,2] => {{1},{2,7,8},{3,4,5,6}}
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,5,4,6,3,8,7,2] => [1,7,6,5,4,3,8,2] => {{1},{2,7,8},{3,6},{4,5}}
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,3,5,6,4,8,7,2] => [1,7,3,6,5,4,8,2] => {{1},{2,7,8},{3},{4,6},{5}}
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [1,7,4,3,6,5,8,2] => {{1},{2,7,8},{3,4},{5,6}}
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [1,7,4,5,3,6,8,2] => {{1},{2,7,8},{3,4,5},{6}}
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [1,7,5,4,3,6,8,2] => {{1},{2,7,8},{3,5},{4},{6}}
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [1,7,3,4,5,6,8,2] => {{1},{2,7,8},{3},{4},{5},{6}}
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [1,8,4,5,6,7,3,2] => {{1},{2,8},{3,4,5,6,7}}
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [1,5,7,6,4,3,8,2] => [1,8,4,6,5,7,3,2] => {{1},{2,8},{3,4,6,7},{5}}
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [1,8,4,7,6,5,3,2] => {{1},{2,8},{3,4,7},{5,6}}
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,4,7,6,5,3,8,2] => [1,8,5,4,6,7,3,2] => {{1},{2,8},{3,5,6,7},{4}}
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [1,8,5,4,7,6,3,2] => {{1},{2,8},{3,5,7},{4},{6}}
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,5,4,7,6,3,8,2] => [1,8,6,5,4,7,3,2] => {{1},{2,8},{3,6,7},{4,5}}
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,4,5,7,6,3,8,2] => [1,8,6,4,5,7,3,2] => {{1},{2,8},{3,6,7},{4},{5}}
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [1,8,7,6,5,4,3,2] => {{1},{2,8},{3,7},{4,6},{5}}
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [1,8,7,5,4,6,3,2] => {{1},{2,8},{3,7},{4,5},{6}}
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [1,8,7,4,5,6,3,2] => {{1},{2,8},{3,7},{4},{5},{6}}
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [1,8,3,7,6,5,4,2] => {{1},{2,8},{3},{4,7},{5,6}}
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [1,8,3,7,5,6,4,2] => {{1},{2,8},{3},{4,7},{5},{6}}
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [1,8,3,4,6,7,5,2] => {{1},{2,8},{3},{4},{5,6,7}}
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [1,8,3,4,7,6,5,2] => {{1},{2,8},{3},{4},{5,7},{6}}
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [1,8,3,5,4,7,6,2] => {{1},{2,8},{3},{4,5},{6,7}}
[[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,4,3,5,7,6,8,2] => [1,8,4,3,5,7,6,2] => {{1},{2,8},{3,4},{5},{6,7}}
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [1,8,4,5,6,3,7,2] => {{1},{2,8},{3,4,5,6},{7}}
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,4,6,5,3,7,8,2] => [1,8,5,4,6,3,7,2] => {{1},{2,8},{3,5,6},{4},{7}}
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [1,8,6,5,4,3,7,2] => {{1},{2,8},{3,6},{4,5},{7}}
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [1,4,5,6,3,7,8,2] => [1,8,6,4,5,3,7,2] => {{1},{2,8},{3,6},{4},{5},{7}}
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [1,8,3,6,5,4,7,2] => {{1},{2,8},{3},{4,6},{5},{7}}
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [1,8,4,3,6,5,7,2] => {{1},{2,8},{3,4},{5,6},{7}}
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [1,8,4,5,3,6,7,2] => {{1},{2,8},{3,4,5},{6},{7}}
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [1,8,5,4,3,6,7,2] => {{1},{2,8},{3,5},{4},{6},{7}}
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [1,8,3,5,4,6,7,2] => {{1},{2,8},{3},{4,5},{6},{7}}
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [1,8,4,3,5,6,7,2] => {{1},{2,8},{3,4},{5},{6},{7}}
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [1,8,3,4,5,6,7,2] => {{1},{2,8},{3},{4},{5},{6},{7}}
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [2,1,4,5,6,7,8,3] => {{1,2},{3,4,5,6,7,8}}
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [2,1,4,5,6,8,7,3] => {{1,2},{3,4,5,6,8},{7}}
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [2,1,4,5,8,7,6,3] => {{1,2},{3,4,5,8},{6,7}}
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [2,1,4,5,8,6,7,3] => {{1,2},{3,4,5,8},{6},{7}}
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [2,1,4,6,5,8,7,3] => {{1,2},{3,4,6,8},{5},{7}}
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [2,1,4,7,6,5,8,3] => {{1,2},{3,4,7,8},{5,6}}
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [2,1,4,8,6,7,5,3] => {{1,2},{3,4,8},{5,6,7}}
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [2,1,4,8,7,6,5,3] => {{1,2},{3,4,8},{5,7},{6}}
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [2,1,4,8,5,7,6,3] => {{1,2},{3,4,8},{5},{6,7}}
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [2,1,4,8,6,5,7,3] => {{1,2},{3,4,8},{5,6},{7}}
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [2,1,4,8,5,6,7,3] => {{1,2},{3,4,8},{5},{6},{7}}
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [2,1,5,4,6,7,8,3] => {{1,2},{3,5,6,7,8},{4}}
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [2,1,5,4,7,6,8,3] => {{1,2},{3,5,7,8},{4},{6}}
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [2,1,4,7,6,8,5,3] => [2,1,5,4,8,7,6,3] => {{1,2},{3,5,8},{4},{6,7}}
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [2,1,5,4,8,6,7,3] => {{1,2},{3,5,8},{4},{6},{7}}
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [2,1,6,4,5,7,8,3] => {{1,2},{3,6,7,8},{4},{5}}
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [2,1,6,4,5,8,7,3] => {{1,2},{3,6,8},{4},{5},{7}}
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [2,1,7,5,6,4,8,3] => {{1,2},{3,7,8},{4,5,6}}
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [2,1,7,6,5,4,8,3] => {{1,2},{3,7,8},{4,6},{5}}
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [2,1,7,4,6,5,8,3] => {{1,2},{3,7,8},{4},{5,6}}
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [2,1,8,5,6,7,4,3] => {{1,2},{3,8},{4,5,6,7}}
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [2,1,8,5,7,6,4,3] => {{1,2},{3,8},{4,5,7},{6}}
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [2,1,8,6,5,7,4,3] => {{1,2},{3,8},{4,6,7},{5}}
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [2,1,8,7,6,5,4,3] => {{1,2},{3,8},{4,7},{5,6}}
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [2,1,8,7,5,6,4,3] => {{1,2},{3,8},{4,7},{5},{6}}
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [2,1,8,4,6,7,5,3] => {{1,2},{3,8},{4},{5,6,7}}
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [2,1,8,4,7,6,5,3] => {{1,2},{3,8},{4},{5,7},{6}}
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [2,1,8,5,4,7,6,3] => {{1,2},{3,8},{4,5},{6,7}}
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [2,1,4,5,7,6,8,3] => [2,1,8,4,5,7,6,3] => {{1,2},{3,8},{4},{5},{6,7}}
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [2,1,6,5,4,7,8,3] => [2,1,8,5,6,4,7,3] => {{1,2},{3,8},{4,5,6},{7}}
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [2,1,8,6,5,4,7,3] => {{1,2},{3,8},{4,6},{5},{7}}
[[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [2,1,4,6,5,7,8,3] => [2,1,8,4,6,5,7,3] => {{1,2},{3,8},{4},{5,6},{7}}
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [2,1,8,5,4,6,7,3] => {{1,2},{3,8},{4,5},{6},{7}}
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,1,8,4,5,6,7,3] => {{1,2},{3,8},{4},{5},{6},{7}}
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [1,2,4,5,6,7,8,3] => {{1},{2},{3,4,5,6,7,8}}
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [1,2,4,5,6,8,7,3] => {{1},{2},{3,4,5,6,8},{7}}
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,2,7,6,8,5,4,3] => [1,2,4,5,8,7,6,3] => {{1},{2},{3,4,5,8},{6,7}}
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [1,2,4,5,8,6,7,3] => {{1},{2},{3,4,5,8},{6},{7}}
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [1,2,5,7,8,6,4,3] => [1,2,4,6,5,8,7,3] => {{1},{2},{3,4,6,8},{5},{7}}
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [1,2,4,7,6,5,8,3] => {{1},{2},{3,4,7,8},{5,6}}
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [1,2,4,7,5,6,8,3] => {{1},{2},{3,4,7,8},{5},{6}}
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,2,6,7,5,8,4,3] => [1,2,4,8,7,6,5,3] => {{1},{2},{3,4,8},{5,7},{6}}
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [1,2,4,8,6,5,7,3] => {{1},{2},{3,4,8},{5,6},{7}}
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [1,2,4,8,5,6,7,3] => {{1},{2},{3,4,8},{5},{6},{7}}
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [1,2,5,4,6,7,8,3] => {{1},{2},{3,5,6,7,8},{4}}
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => [1,2,5,4,6,8,7,3] => {{1},{2},{3,5,6,8},{4},{7}}
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [1,2,5,4,7,6,8,3] => {{1},{2},{3,5,7,8},{4},{6}}
[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,2,4,7,6,8,5,3] => [1,2,5,4,8,7,6,3] => {{1},{2},{3,5,8},{4},{6,7}}
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [1,2,5,4,8,6,7,3] => {{1},{2},{3,5,8},{4},{6},{7}}
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [1,2,6,5,4,7,8,3] => {{1},{2},{3,6,7,8},{4,5}}
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,2,5,4,7,8,6,3] => [1,2,6,5,4,8,7,3] => {{1},{2},{3,6,8},{4,5},{7}}
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [1,2,6,4,5,7,8,3] => {{1},{2},{3,6,7,8},{4},{5}}
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,2,5,6,4,8,7,3] => [1,2,7,6,5,4,8,3] => {{1},{2},{3,7,8},{4,6},{5}}
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [1,2,7,5,4,6,8,3] => {{1},{2},{3,7,8},{4,5},{6}}
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [1,2,7,4,5,6,8,3] => {{1},{2},{3,7,8},{4},{5},{6}}
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [1,2,8,5,6,7,4,3] => {{1},{2},{3,8},{4,5,6,7}}
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [1,2,8,6,5,7,4,3] => {{1},{2},{3,8},{4,6,7},{5}}
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [1,2,6,5,7,4,8,3] => [1,2,8,7,6,5,4,3] => {{1},{2},{3,8},{4,7},{5,6}}
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [1,2,8,7,5,6,4,3] => {{1},{2},{3,8},{4,7},{5},{6}}
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [1,2,8,4,6,7,5,3] => {{1},{2},{3,8},{4},{5,6,7}}
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [1,2,4,6,7,5,8,3] => [1,2,8,4,7,6,5,3] => {{1},{2},{3,8},{4},{5,7},{6}}
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [1,2,8,5,4,7,6,3] => {{1},{2},{3,8},{4,5},{6,7}}
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [1,2,8,5,6,4,7,3] => {{1},{2},{3,8},{4,5,6},{7}}
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => [1,2,8,6,5,4,7,3] => {{1},{2},{3,8},{4,6},{5},{7}}
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [1,2,8,5,4,6,7,3] => {{1},{2},{3,8},{4,5},{6},{7}}
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [1,2,8,4,5,6,7,3] => {{1},{2},{3,8},{4},{5},{6},{7}}
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [2,3,1,5,6,7,8,4] => {{1,2,3},{4,5,6,7,8}}
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [2,3,1,5,7,6,8,4] => {{1,2,3},{4,5,7,8},{6}}
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [2,3,1,6,5,8,7,4] => {{1,2,3},{4,6,8},{5},{7}}
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [2,3,1,7,6,5,8,4] => {{1,2,3},{4,7,8},{5,6}}
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [2,3,1,8,6,7,5,4] => {{1,2,3},{4,8},{5,6,7}}
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [2,3,1,8,7,6,5,4] => {{1,2,3},{4,8},{5,7},{6}}
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [2,3,1,8,5,6,7,4] => {{1,2,3},{4,8},{5},{6},{7}}
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [3,2,1,5,6,7,8,4] => {{1,3},{2},{4,5,6,7,8}}
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [2,3,1,7,8,6,5,4] => [3,2,1,5,6,8,7,4] => {{1,3},{2},{4,5,6,8},{7}}
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [3,2,1,5,7,6,8,4] => {{1,3},{2},{4,5,7,8},{6}}
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [3,2,1,5,8,7,6,4] => {{1,3},{2},{4,5,8},{6,7}}
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,5,8,6,7,4] => {{1,3},{2},{4,5,8},{6},{7}}
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [2,3,1,5,8,7,6,4] => [3,2,1,6,5,7,8,4] => {{1,3},{2},{4,6,7,8},{5}}
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,6,5,8,7,4] => {{1,3},{2},{4,6,8},{5},{7}}
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,1,7,6,5,8,4] => {{1,3},{2},{4,7,8},{5,6}}
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [2,3,1,5,6,8,7,4] => [3,2,1,7,5,6,8,4] => {{1,3},{2},{4,7,8},{5},{6}}
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [3,2,1,8,6,7,5,4] => {{1,3},{2},{4,8},{5,6,7}}
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,8,7,6,5,4] => {{1,3},{2},{4,8},{5,7},{6}}
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,8,5,7,6,4] => {{1,3},{2},{4,8},{5},{6,7}}
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [2,3,1,6,5,7,8,4] => [3,2,1,8,6,5,7,4] => {{1,3},{2},{4,8},{5,6},{7}}
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [3,2,1,8,5,6,7,4] => {{1,3},{2},{4,8},{5},{6},{7}}
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [1,3,2,5,6,7,8,4] => {{1},{2,3},{4,5,6,7,8}}
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [1,3,2,5,8,7,6,4] => {{1},{2,3},{4,5,8},{6,7}}
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [1,3,2,6,5,7,8,4] => {{1},{2,3},{4,6,7,8},{5}}
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [1,3,2,6,5,8,7,4] => {{1},{2,3},{4,6,8},{5},{7}}
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [1,3,2,7,6,5,8,4] => {{1},{2,3},{4,7,8},{5,6}}
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [1,3,2,7,5,6,8,4] => {{1},{2,3},{4,7,8},{5},{6}}
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [1,3,2,8,6,7,5,4] => {{1},{2,3},{4,8},{5,6,7}}
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [1,3,2,8,7,6,5,4] => {{1},{2,3},{4,8},{5,7},{6}}
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [1,3,2,8,5,7,6,4] => {{1},{2,3},{4,8},{5},{6,7}}
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [1,3,2,8,6,5,7,4] => {{1},{2,3},{4,8},{5,6},{7}}
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [2,1,3,5,6,7,8,4] => {{1,2},{3},{4,5,6,7,8}}
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => [2,1,3,5,8,6,7,4] => {{1,2},{3},{4,5,8},{6},{7}}
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [2,1,3,5,7,8,6,4] => [2,1,3,6,5,8,7,4] => {{1,2},{3},{4,6,8},{5},{7}}
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [2,1,3,7,6,5,8,4] => [2,1,3,8,6,7,5,4] => {{1,2},{3},{4,8},{5,6,7}}
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [2,1,3,6,7,5,8,4] => [2,1,3,8,7,6,5,4] => {{1,2},{3},{4,8},{5,7},{6}}
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [2,1,3,5,7,6,8,4] => [2,1,3,8,5,7,6,4] => {{1,2},{3},{4,8},{5},{6,7}}
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [2,1,3,6,5,7,8,4] => [2,1,3,8,6,5,7,4] => {{1,2},{3},{4,8},{5,6},{7}}
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,1,3,8,5,6,7,4] => {{1,2},{3},{4,8},{5},{6},{7}}
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [1,2,3,5,6,7,8,4] => {{1},{2},{3},{4,5,6,7,8}}
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [1,2,3,5,6,8,7,4] => {{1},{2},{3},{4,5,6,8},{7}}
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [1,2,3,5,7,6,8,4] => {{1},{2},{3},{4,5,7,8},{6}}
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [1,2,3,5,8,7,6,4] => {{1},{2},{3},{4,5,8},{6,7}}
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [1,2,3,5,8,6,7,4] => {{1},{2},{3},{4,5,8},{6},{7}}
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [1,2,3,6,5,7,8,4] => {{1},{2},{3},{4,6,7,8},{5}}
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [1,2,3,6,5,8,7,4] => {{1},{2},{3},{4,6,8},{5},{7}}
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [1,2,3,7,6,5,8,4] => {{1},{2},{3},{4,7,8},{5,6}}
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [1,2,3,7,5,6,8,4] => {{1},{2},{3},{4,7,8},{5},{6}}
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [1,2,3,8,6,7,5,4] => {{1},{2},{3},{4,8},{5,6,7}}
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [1,2,3,8,7,6,5,4] => {{1},{2},{3},{4,8},{5,7},{6}}
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [1,2,3,8,5,7,6,4] => {{1},{2},{3},{4,8},{5},{6,7}}
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [1,2,3,8,6,5,7,4] => {{1},{2},{3},{4,8},{5,6},{7}}
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4] => {{1},{2},{3},{4,8},{5},{6},{7}}
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [2,3,4,1,6,7,8,5] => {{1,2,3,4},{5,6,7,8}}
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [2,3,4,1,6,8,7,5] => {{1,2,3,4},{5,6,8},{7}}
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [2,3,4,1,7,6,8,5] => {{1,2,3,4},{5,7,8},{6}}
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [2,3,4,1,8,7,6,5] => {{1,2,3,4},{5,8},{6,7}}
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [2,3,4,1,8,6,7,5] => {{1,2,3,4},{5,8},{6},{7}}
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [2,4,3,1,6,7,8,5] => {{1,2,4},{3},{5,6,7,8}}
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [2,4,3,1,6,8,7,5] => {{1,2,4},{3},{5,6,8},{7}}
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [2,4,3,1,7,6,8,5] => {{1,2,4},{3},{5,7,8},{6}}
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [2,4,3,1,8,7,6,5] => {{1,2,4},{3},{5,8},{6,7}}
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [3,2,4,1,6,7,8,5] => {{1,3,4},{2},{5,6,7,8}}
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,2,4,1,6,8,7,5] => {{1,3,4},{2},{5,6,8},{7}}
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,2,4,1,7,6,8,5] => {{1,3,4},{2},{5,7,8},{6}}
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,2,4,1,8,7,6,5] => {{1,3,4},{2},{5,8},{6,7}}
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,4,1,8,6,7,5] => {{1,3,4},{2},{5,8},{6},{7}}
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,2,1,6,7,8,5] => {{1,4},{2,3},{5,6,7,8}}
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [4,3,2,1,6,8,7,5] => {{1,4},{2,3},{5,6,8},{7}}
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [4,3,2,1,7,6,8,5] => {{1,4},{2,3},{5,7,8},{6}}
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [4,3,2,1,8,7,6,5] => {{1,4},{2,3},{5,8},{6,7}}
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [4,3,2,1,8,6,7,5] => {{1,4},{2,3},{5,8},{6},{7}}
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,3,1,6,7,8,5] => {{1,4},{2},{3},{5,6,7,8}}
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [4,2,3,1,6,8,7,5] => {{1,4},{2},{3},{5,6,8},{7}}
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [4,2,3,1,7,6,8,5] => {{1,4},{2},{3},{5,7,8},{6}}
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [4,2,3,1,8,7,6,5] => {{1,4},{2},{3},{5,8},{6,7}}
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [4,2,3,1,8,6,7,5] => {{1,4},{2},{3},{5,8},{6},{7}}
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [1,3,4,2,6,7,8,5] => {{1},{2,3,4},{5,6,7,8}}
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,4,3,2,7,8,6,5] => [1,3,4,2,6,8,7,5] => {{1},{2,3,4},{5,6,8},{7}}
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [1,3,4,2,7,6,8,5] => {{1},{2,3,4},{5,7,8},{6}}
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [1,3,4,2,8,7,6,5] => {{1},{2,3,4},{5,8},{6,7}}
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [1,3,4,2,8,6,7,5] => {{1},{2,3,4},{5,8},{6},{7}}
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [1,4,3,2,6,7,8,5] => {{1},{2,4},{3},{5,6,7,8}}
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [1,4,3,2,6,8,7,5] => {{1},{2,4},{3},{5,6,8},{7}}
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [1,4,3,2,7,6,8,5] => {{1},{2,4},{3},{5,7,8},{6}}
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [1,4,3,2,8,7,6,5] => {{1},{2,4},{3},{5,8},{6,7}}
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [1,4,3,2,8,6,7,5] => {{1},{2,4},{3},{5,8},{6},{7}}
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [2,1,4,3,6,7,8,5] => {{1,2},{3,4},{5,6,7,8}}
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [2,1,4,3,6,8,7,5] => {{1,2},{3,4},{5,6,8},{7}}
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [2,1,4,3,7,6,8,5] => {{1,2},{3,4},{5,7,8},{6}}
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [2,1,4,3,8,7,6,5] => {{1,2},{3,4},{5,8},{6,7}}
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,1,4,3,8,6,7,5] => {{1,2},{3,4},{5,8},{6},{7}}
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [1,2,4,3,6,7,8,5] => {{1},{2},{3,4},{5,6,7,8}}
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [1,2,4,3,6,8,7,5] => {{1},{2},{3,4},{5,6,8},{7}}
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [1,2,4,3,7,6,8,5] => {{1},{2},{3,4},{5,7,8},{6}}
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [1,2,4,3,8,7,6,5] => {{1},{2},{3,4},{5,8},{6,7}}
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,6,7,5] => {{1},{2},{3,4},{5,8},{6},{7}}
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [2,3,1,4,6,7,8,5] => {{1,2,3},{4},{5,6,7,8}}
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [2,3,1,4,7,6,8,5] => {{1,2,3},{4},{5,7,8},{6}}
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [2,3,1,4,8,7,6,5] => {{1,2,3},{4},{5,8},{6,7}}
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [3,2,1,4,6,7,8,5] => {{1,3},{2},{4},{5,6,7,8}}
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,4,6,8,7,5] => {{1,3},{2},{4},{5,6,8},{7}}
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [2,3,1,4,6,8,7,5] => [3,2,1,4,7,6,8,5] => {{1,3},{2},{4},{5,7,8},{6}}
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,4,8,7,6,5] => {{1,3},{2},{4},{5,8},{6,7}}
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [3,2,1,4,8,6,7,5] => {{1,3},{2},{4},{5,8},{6},{7}}
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [1,3,2,4,6,7,8,5] => {{1},{2,3},{4},{5,6,7,8}}
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,3,2,4,7,8,6,5] => [1,3,2,4,6,8,7,5] => {{1},{2,3},{4},{5,6,8},{7}}
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [1,3,2,4,7,6,8,5] => {{1},{2,3},{4},{5,7,8},{6}}
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [1,3,2,4,8,7,6,5] => {{1},{2,3},{4},{5,8},{6,7}}
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [1,3,2,4,8,6,7,5] => {{1},{2,3},{4},{5,8},{6},{7}}
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [2,1,3,4,6,7,8,5] => {{1,2},{3},{4},{5,6,7,8}}
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [2,1,3,4,6,8,7,5] => [2,1,3,4,7,6,8,5] => {{1,2},{3},{4},{5,7,8},{6}}
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [2,1,3,4,8,7,6,5] => {{1,2},{3},{4},{5,8},{6,7}}
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,1,3,4,8,6,7,5] => {{1,2},{3},{4},{5,8},{6},{7}}
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [1,2,3,4,6,7,8,5] => {{1},{2},{3},{4},{5,6,7,8}}
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [1,2,3,4,6,8,7,5] => {{1},{2},{3},{4},{5,6,8},{7}}
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [1,2,3,4,7,6,8,5] => {{1},{2},{3},{4},{5,7,8},{6}}
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [1,2,3,4,8,7,6,5] => {{1},{2},{3},{4},{5,8},{6,7}}
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,6,7,5] => {{1},{2},{3},{4},{5,8},{6},{7}}
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [2,3,4,5,1,7,8,6] => {{1,2,3,4,5},{6,7,8}}
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [2,3,4,5,1,8,7,6] => {{1,2,3,4,5},{6,8},{7}}
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [4,5,3,2,1,7,8,6] => [2,3,5,4,1,8,7,6] => {{1,2,3,5},{4},{6,8},{7}}
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [2,4,3,5,1,7,8,6] => {{1,2,4,5},{3},{6,7,8}}
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [2,4,3,5,1,8,7,6] => {{1,2,4,5},{3},{6,8},{7}}
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [2,5,4,3,1,7,8,6] => {{1,2,5},{3,4},{6,7,8}}
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [4,3,5,2,1,7,8,6] => [2,5,4,3,1,8,7,6] => {{1,2,5},{3,4},{6,8},{7}}
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [2,5,3,4,1,8,7,6] => {{1,2,5},{3},{4},{6,8},{7}}
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [3,2,4,5,1,8,7,6] => {{1,3,4,5},{2},{6,8},{7}}
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,2,5,4,1,7,8,6] => {{1,3,5},{2},{4},{6,7,8}}
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,5,4,1,8,7,6] => {{1,3,5},{2},{4},{6,8},{7}}
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [4,3,2,5,1,7,8,6] => {{1,4,5},{2,3},{6,7,8}}
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [4,3,2,5,1,8,7,6] => {{1,4,5},{2,3},{6,8},{7}}
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [4,2,3,5,1,7,8,6] => {{1,4,5},{2},{3},{6,7,8}}
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [2,3,5,4,1,7,8,6] => [4,2,3,5,1,8,7,6] => {{1,4,5},{2},{3},{6,8},{7}}
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [5,3,4,2,1,7,8,6] => {{1,5},{2,3,4},{6,7,8}}
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [5,3,4,2,1,8,7,6] => {{1,5},{2,3,4},{6,8},{7}}
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [5,4,3,2,1,7,8,6] => {{1,5},{2,4},{3},{6,7,8}}
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [5,4,3,2,1,8,7,6] => {{1,5},{2,4},{3},{6,8},{7}}
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [5,2,4,3,1,8,7,6] => {{1,5},{2},{3,4},{6,8},{7}}
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [3,2,4,5,1,7,8,6] => [5,3,2,4,1,8,7,6] => {{1,5},{2,3},{4},{6,8},{7}}
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [5,2,3,4,1,7,8,6] => {{1,5},{2},{3},{4},{6,7,8}}
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [5,2,3,4,1,8,7,6] => {{1,5},{2},{3},{4},{6,8},{7}}
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [1,3,4,5,2,7,8,6] => {{1},{2,3,4,5},{6,7,8}}
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [1,3,4,5,2,8,7,6] => {{1},{2,3,4,5},{6,8},{7}}
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [1,3,5,4,2,7,8,6] => {{1},{2,3,5},{4},{6,7,8}}
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [1,5,4,3,2,7,8,6] => {{1},{2,5},{3,4},{6,7,8}}
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [1,5,4,3,2,8,7,6] => {{1},{2,5},{3,4},{6,8},{7}}
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [1,5,3,4,2,7,8,6] => {{1},{2,5},{3},{4},{6,7,8}}
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [1,5,3,4,2,8,7,6] => {{1},{2,5},{3},{4},{6,8},{7}}
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [2,1,5,4,3,7,8,6] => [2,1,4,5,3,8,7,6] => {{1,2},{3,4,5},{6,8},{7}}
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [2,1,4,5,3,7,8,6] => [2,1,5,4,3,8,7,6] => {{1,2},{3,5},{4},{6,8},{7}}
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [1,2,4,5,3,7,8,6] => {{1},{2},{3,4,5},{6,7,8}}
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [1,2,4,5,3,8,7,6] => {{1},{2},{3,4,5},{6,8},{7}}
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [1,2,5,4,3,7,8,6] => {{1},{2},{3,5},{4},{6,7,8}}
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [1,2,5,4,3,8,7,6] => {{1},{2},{3,5},{4},{6,8},{7}}
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [1,3,2,5,4,7,8,6] => {{1},{2,3},{4,5},{6,7,8}}
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [1,3,2,5,4,8,7,6] => {{1},{2,3},{4,5},{6,8},{7}}
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [2,1,3,5,4,7,8,6] => {{1,2},{3},{4,5},{6,7,8}}
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,1,3,5,4,8,7,6] => {{1,2},{3},{4,5},{6,8},{7}}
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [1,2,3,5,4,7,8,6] => {{1},{2},{3},{4,5},{6,7,8}}
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [1,2,3,5,4,8,7,6] => {{1},{2},{3},{4,5},{6,8},{7}}
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [2,3,4,1,5,7,8,6] => {{1,2,3,4},{5},{6,7,8}}
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [2,3,4,1,5,8,7,6] => {{1,2,3,4},{5},{6,8},{7}}
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [3,4,2,1,5,7,8,6] => [2,4,3,1,5,8,7,6] => {{1,2,4},{3},{5},{6,8},{7}}
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,2,4,1,5,7,8,6] => {{1,3,4},{2},{5},{6,7,8}}
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [2,4,3,1,5,7,8,6] => [3,2,4,1,5,8,7,6] => {{1,3,4},{2},{5},{6,8},{7}}
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [4,3,2,1,5,7,8,6] => {{1,4},{2,3},{5},{6,7,8}}
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [4,3,2,1,5,8,7,6] => {{1,4},{2,3},{5},{6,8},{7}}
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [4,2,3,1,5,7,8,6] => {{1,4},{2},{3},{5},{6,7,8}}
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [4,2,3,1,5,8,7,6] => {{1,4},{2},{3},{5},{6,8},{7}}
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [1,3,4,2,5,7,8,6] => {{1},{2,3,4},{5},{6,7,8}}
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [1,4,3,2,5,7,8,6] => {{1},{2,4},{3},{5},{6,7,8}}
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [1,4,3,2,5,8,7,6] => {{1},{2,4},{3},{5},{6,8},{7}}
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [2,1,4,3,5,7,8,6] => {{1,2},{3,4},{5},{6,7,8}}
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,1,4,3,5,8,7,6] => {{1,2},{3,4},{5},{6,8},{7}}
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [1,2,4,3,5,7,8,6] => {{1},{2},{3,4},{5},{6,7,8}}
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [1,2,4,3,5,8,7,6] => {{1},{2},{3,4},{5},{6,8},{7}}
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [2,3,1,4,5,7,8,6] => {{1,2,3},{4},{5},{6,7,8}}
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [2,3,1,4,5,8,7,6] => [3,2,1,4,5,7,8,6] => {{1,3},{2},{4},{5},{6,7,8}}
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [3,2,1,4,5,8,7,6] => {{1,3},{2},{4},{5},{6,8},{7}}
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [1,3,2,4,5,7,8,6] => {{1},{2,3},{4},{5},{6,7,8}}
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [1,3,2,4,5,8,7,6] => {{1},{2,3},{4},{5},{6,8},{7}}
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [2,1,3,4,5,7,8,6] => {{1,2},{3},{4},{5},{6,7,8}}
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,1,3,4,5,8,7,6] => {{1,2},{3},{4},{5},{6,8},{7}}
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}}
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => {{1},{2},{3},{4},{5},{6,8},{7}}
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [2,3,4,5,6,1,8,7] => {{1,2,3,4,5,6},{7,8}}
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [2,3,6,5,4,1,8,7] => {{1,2,3,6},{4,5},{7,8}}
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [2,3,6,4,5,1,8,7] => {{1,2,3,6},{4},{5},{7,8}}
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [2,4,3,5,6,1,8,7] => {{1,2,4,5,6},{3},{7,8}}
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [2,4,3,6,5,1,8,7] => {{1,2,4,6},{3},{5},{7,8}}
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [2,5,4,3,6,1,8,7] => {{1,2,5,6},{3,4},{7,8}}
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [2,6,5,4,3,1,8,7] => {{1,2,6},{3,5},{4},{7,8}}
[[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [3,5,4,6,2,1,8,7] => [2,6,3,5,4,1,8,7] => {{1,2,6},{3},{4,5},{7,8}}
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [2,6,4,3,5,1,8,7] => {{1,2,6},{3,4},{5},{7,8}}
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [3,2,5,4,6,1,8,7] => {{1,3,5,6},{2},{4},{7,8}}
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [2,4,5,6,3,1,8,7] => [3,2,6,4,5,1,8,7] => {{1,3,6},{2},{4},{5},{7,8}}
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,3,2,5,6,1,8,7] => {{1,4,5,6},{2,3},{7,8}}
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [4,3,2,6,5,1,8,7] => {{1,4,6},{2,3},{5},{7,8}}
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,3,5,6,1,8,7] => {{1,4,5,6},{2},{3},{7,8}}
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [5,3,4,2,6,1,8,7] => {{1,5,6},{2,3,4},{7,8}}
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [5,4,3,2,6,1,8,7] => {{1,5,6},{2,4},{3},{7,8}}
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [5,2,4,3,6,1,8,7] => {{1,5,6},{2},{3,4},{7,8}}
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [3,2,4,6,5,1,8,7] => [5,3,2,4,6,1,8,7] => {{1,5,6},{2,3},{4},{7,8}}
[[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [2,3,4,6,5,1,8,7] => [5,2,3,4,6,1,8,7] => {{1,5,6},{2},{3},{4},{7,8}}
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [6,3,4,5,2,1,8,7] => {{1,6},{2,3,4,5},{7,8}}
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7] => [6,3,5,4,2,1,8,7] => {{1,6},{2,3,5},{4},{7,8}}
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [6,4,3,5,2,1,8,7] => {{1,6},{2,4,5},{3},{7,8}}
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [6,5,4,3,2,1,8,7] => {{1,6},{2,5},{3,4},{7,8}}
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [6,5,3,4,2,1,8,7] => {{1,6},{2,5},{3},{4},{7,8}}
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [6,2,5,4,3,1,8,7] => {{1,6},{2},{3,5},{4},{7,8}}
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [6,3,2,5,4,1,8,7] => {{1,6},{2,3},{4,5},{7,8}}
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [6,3,4,2,5,1,8,7] => {{1,6},{2,3,4},{5},{7,8}}
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [6,4,3,2,5,1,8,7] => {{1,6},{2,4},{3},{5},{7,8}}
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [6,2,4,3,5,1,8,7] => {{1,6},{2},{3,4},{5},{7,8}}
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [6,2,3,4,5,1,8,7] => {{1,6},{2},{3},{4},{5},{7,8}}
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [1,3,4,5,6,2,8,7] => {{1},{2,3,4,5,6},{7,8}}
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [1,3,6,5,4,2,8,7] => {{1},{2,3,6},{4,5},{7,8}}
[[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [1,4,5,6,3,2,8,7] => [1,3,6,4,5,2,8,7] => {{1},{2,3,6},{4},{5},{7,8}}
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [1,3,4,6,5,2,8,7] => [1,5,3,4,6,2,8,7] => {{1},{2,5,6},{3},{4},{7,8}}
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [2,1,4,5,6,3,8,7] => {{1,2},{3,4,5,6},{7,8}}
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [2,1,4,6,5,3,8,7] => {{1,2},{3,4,6},{5},{7,8}}
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [2,1,5,4,6,3,8,7] => {{1,2},{3,5,6},{4},{7,8}}
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [2,1,6,5,4,3,8,7] => {{1,2},{3,6},{4,5},{7,8}}
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,1,6,4,5,3,8,7] => {{1,2},{3,6},{4},{5},{7,8}}
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [1,2,6,5,4,3,8,7] => [1,2,4,5,6,3,8,7] => {{1},{2},{3,4,5,6},{7,8}}
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [3,2,1,5,6,4,8,7] => [2,3,1,6,5,4,8,7] => {{1,2,3},{4,6},{5},{7,8}}
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [2,3,1,5,6,4,8,7] => [3,2,1,6,5,4,8,7] => {{1,3},{2},{4,6},{5},{7,8}}
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [1,3,2,5,6,4,8,7] => {{1},{2,3},{4,5,6},{7,8}}
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [1,3,2,6,5,4,8,7] => {{1},{2,3},{4,6},{5},{7,8}}
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [2,1,3,6,5,4,8,7] => [2,1,3,5,6,4,8,7] => {{1,2},{3},{4,5,6},{7,8}}
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,1,3,6,5,4,8,7] => {{1,2},{3},{4,6},{5},{7,8}}
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [1,2,3,5,6,4,8,7] => {{1},{2},{3},{4,5,6},{7,8}}
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [1,2,3,6,5,4,8,7] => {{1},{2},{3},{4,6},{5},{7,8}}
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [2,3,4,1,6,5,8,7] => {{1,2,3,4},{5,6},{7,8}}
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [2,4,3,1,6,5,8,7] => {{1,2,4},{3},{5,6},{7,8}}
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,4,1,6,5,8,7] => {{1,3,4},{2},{5,6},{7,8}}
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => {{1,4},{2,3},{5,6},{7,8}}
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [4,2,3,1,6,5,8,7] => {{1,4},{2},{3},{5,6},{7,8}}
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,4,3,2,6,5,8,7] => [1,3,4,2,6,5,8,7] => {{1},{2,3,4},{5,6},{7,8}}
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => {{1,2},{3,4},{5,6},{7,8}}
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => {{1},{2},{3,4},{5,6},{7,8}}
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [3,2,1,4,6,5,8,7] => [2,3,1,4,6,5,8,7] => {{1,2,3},{4},{5,6},{7,8}}
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [1,3,2,4,6,5,8,7] => {{1},{2,3},{4},{5,6},{7,8}}
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,1,3,4,6,5,8,7] => {{1,2},{3},{4},{5,6},{7,8}}
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => {{1},{2},{3},{4},{5,6},{7,8}}
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [2,3,4,5,1,6,8,7] => {{1,2,3,4,5},{6},{7,8}}
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [2,3,5,4,1,6,8,7] => {{1,2,3,5},{4},{6},{7,8}}
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [2,4,3,5,1,6,8,7] => {{1,2,4,5},{3},{6},{7,8}}
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [2,5,4,3,1,6,8,7] => {{1,2,5},{3,4},{6},{7,8}}
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [3,2,5,4,1,6,8,7] => {{1,3,5},{2},{4},{6},{7,8}}
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [4,2,3,5,1,6,8,7] => {{1,4,5},{2},{3},{6},{7,8}}
[[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [4,3,2,5,1,6,8,7] => [5,3,4,2,1,6,8,7] => {{1,5},{2,3,4},{6},{7,8}}
[[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [3,4,2,5,1,6,8,7] => [5,4,3,2,1,6,8,7] => {{1,5},{2,4},{3},{6},{7,8}}
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [5,2,4,3,1,6,8,7] => {{1,5},{2},{3,4},{6},{7,8}}
[[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [3,2,4,5,1,6,8,7] => [5,3,2,4,1,6,8,7] => {{1,5},{2,3},{4},{6},{7,8}}
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [5,2,3,4,1,6,8,7] => {{1,5},{2},{3},{4},{6},{7,8}}
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [1,3,5,4,2,6,8,7] => {{1},{2,3,5},{4},{6},{7,8}}
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => [2,1,4,5,3,6,8,7] => {{1,2},{3,4,5},{6},{7,8}}
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,1,5,4,3,6,8,7] => {{1,2},{3,5},{4},{6},{7,8}}
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,2,4,5,3,6,8,7] => [1,2,5,4,3,6,8,7] => {{1},{2},{3,5},{4},{6},{7,8}}
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,1,3,5,4,6,8,7] => {{1,2},{3},{4,5},{6},{7,8}}
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [1,2,3,5,4,6,8,7] => {{1},{2},{3},{4,5},{6},{7,8}}
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [2,3,4,1,5,6,8,7] => {{1,2,3,4},{5},{6},{7,8}}
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [2,4,3,1,5,6,8,7] => [3,2,4,1,5,6,8,7] => {{1,3,4},{2},{5},{6},{7,8}}
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [4,3,2,1,5,6,8,7] => {{1,4},{2,3},{5},{6},{7,8}}
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [1,3,4,2,5,6,8,7] => {{1},{2,3,4},{5},{6},{7,8}}
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [1,4,3,2,5,6,8,7] => {{1},{2,4},{3},{5},{6},{7,8}}
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,1,4,3,5,6,8,7] => {{1,2},{3,4},{5},{6},{7,8}}
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => {{1},{2},{3,4},{5},{6},{7,8}}
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [2,3,1,4,5,6,8,7] => {{1,2,3},{4},{5},{6},{7,8}}
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [3,2,1,4,5,6,8,7] => {{1,3},{2},{4},{5},{6},{7,8}}
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => {{1},{2,3},{4},{5},{6},{7,8}}
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => {{1,2},{3},{4},{5},{6},{7,8}}
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}}
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [2,3,4,5,7,6,1,8] => {{1,2,3,4,5,7},{6},{8}}
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [2,3,4,6,5,7,1,8] => {{1,2,3,4,6,7},{5},{8}}
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [2,3,4,7,6,5,1,8] => {{1,2,3,4,7},{5,6},{8}}
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [2,3,4,7,5,6,1,8] => {{1,2,3,4,7},{5},{6},{8}}
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [2,3,5,4,6,7,1,8] => {{1,2,3,5,6,7},{4},{8}}
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [2,3,7,5,6,4,1,8] => {{1,2,3,7},{4,5,6},{8}}
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [2,3,7,6,5,4,1,8] => {{1,2,3,7},{4,6},{5},{8}}
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [2,3,7,5,4,6,1,8] => {{1,2,3,7},{4,5},{6},{8}}
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [2,4,3,6,5,7,1,8] => {{1,2,4,6,7},{3},{5},{8}}
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [2,5,4,3,6,7,1,8] => {{1,2,5,6,7},{3,4},{8}}
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [2,5,3,4,6,7,1,8] => {{1,2,5,6,7},{3},{4},{8}}
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [2,7,4,5,6,3,1,8] => {{1,2,7},{3,4,5,6},{8}}
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [2,7,4,6,5,3,1,8] => {{1,2,7},{3,4,6},{5},{8}}
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [2,7,6,5,4,3,1,8] => {{1,2,7},{3,6},{4,5},{8}}
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8] => [2,7,3,6,5,4,1,8] => {{1,2,7},{3},{4,6},{5},{8}}
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [2,7,3,4,5,6,1,8] => {{1,2,7},{3},{4},{5},{6},{8}}
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [3,2,4,5,6,7,1,8] => {{1,3,4,5,6,7},{2},{8}}
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [3,2,5,4,7,6,1,8] => {{1,3,5,7},{2},{4},{6},{8}}
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [3,2,6,5,4,7,1,8] => {{1,3,6,7},{2},{4,5},{8}}
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [3,2,7,6,5,4,1,8] => {{1,3,7},{2},{4,6},{5},{8}}
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [3,2,7,5,4,6,1,8] => {{1,3,7},{2},{4,5},{6},{8}}
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [3,2,7,4,5,6,1,8] => {{1,3,7},{2},{4},{5},{6},{8}}
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [4,3,2,5,6,7,1,8] => {{1,4,5,6,7},{2,3},{8}}
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [4,3,2,5,7,6,1,8] => {{1,4,5,7},{2,3},{6},{8}}
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,3,2,6,5,7,1,8] => {{1,4,6,7},{2,3},{5},{8}}
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [4,2,3,5,6,7,1,8] => {{1,4,5,6,7},{2},{3},{8}}
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [4,2,3,7,5,6,1,8] => {{1,4,7},{2},{3},{5},{6},{8}}
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [5,3,4,2,7,6,1,8] => {{1,5,7},{2,3,4},{6},{8}}
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [5,4,3,2,6,7,1,8] => {{1,5,6,7},{2,4},{3},{8}}
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [5,4,3,2,7,6,1,8] => {{1,5,7},{2,4},{3},{6},{8}}
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [2,4,3,7,6,5,1,8] => [5,2,4,3,6,7,1,8] => {{1,5,6,7},{2},{3,4},{8}}
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [5,3,2,4,7,6,1,8] => {{1,5,7},{2,3},{4},{6},{8}}
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [5,2,3,4,6,7,1,8] => {{1,5,6,7},{2},{3},{4},{8}}
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [5,2,3,4,7,6,1,8] => {{1,5,7},{2},{3},{4},{6},{8}}
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [6,3,4,5,2,7,1,8] => {{1,6,7},{2,3,4,5},{8}}
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [6,3,5,4,2,7,1,8] => {{1,6,7},{2,3,5},{4},{8}}
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [6,5,4,3,2,7,1,8] => {{1,6,7},{2,5},{3,4},{8}}
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [6,3,2,5,4,7,1,8] => {{1,6,7},{2,3},{4,5},{8}}
[[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [2,3,5,4,7,6,1,8] => [6,2,3,5,4,7,1,8] => {{1,6,7},{2},{3},{4,5},{8}}
[[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [3,2,4,5,7,6,1,8] => [6,3,2,4,5,7,1,8] => {{1,6,7},{2,3},{4},{5},{8}}
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [6,2,3,4,5,7,1,8] => {{1,6,7},{2},{3},{4},{5},{8}}
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [7,3,4,5,6,2,1,8] => {{1,7},{2,3,4,5,6},{8}}
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [7,3,4,6,5,2,1,8] => {{1,7},{2,3,4,6},{5},{8}}
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [7,3,6,5,4,2,1,8] => {{1,7},{2,3,6},{4,5},{8}}
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [7,4,3,6,5,2,1,8] => {{1,7},{2,4,6},{3},{5},{8}}
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [4,3,6,5,2,7,1,8] => [7,5,4,3,6,2,1,8] => {{1,7},{2,5,6},{3,4},{8}}
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [7,6,4,5,3,2,1,8] => {{1,7},{2,6},{3,4,5},{8}}
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [7,6,5,4,3,2,1,8] => {{1,7},{2,6},{3,5},{4},{8}}
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [7,6,3,5,4,2,1,8] => {{1,7},{2,6},{3},{4,5},{8}}
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [7,6,4,3,5,2,1,8] => {{1,7},{2,6},{3,4},{5},{8}}
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [7,6,3,4,5,2,1,8] => {{1,7},{2,6},{3},{4},{5},{8}}
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [7,2,6,5,4,3,1,8] => {{1,7},{2},{3,6},{4,5},{8}}
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [2,4,5,6,3,7,1,8] => [7,2,6,4,5,3,1,8] => {{1,7},{2},{3,6},{4},{5},{8}}
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [7,2,3,6,5,4,1,8] => {{1,7},{2},{3},{4,6},{5},{8}}
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => [7,3,4,2,6,5,1,8] => {{1,7},{2,3,4},{5,6},{8}}
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [7,4,3,2,6,5,1,8] => {{1,7},{2,4},{3},{5,6},{8}}
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [7,2,4,3,6,5,1,8] => {{1,7},{2},{3,4},{5,6},{8}}
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [7,2,3,4,6,5,1,8] => {{1,7},{2},{3},{4},{5,6},{8}}
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [4,5,3,2,6,7,1,8] => [7,3,5,4,2,6,1,8] => {{1,7},{2,3,5},{4},{6},{8}}
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8] => [7,4,3,5,2,6,1,8] => {{1,7},{2,4,5},{3},{6},{8}}
[[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [4,3,5,2,6,7,1,8] => [7,5,4,3,2,6,1,8] => {{1,7},{2,5},{3,4},{6},{8}}
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [7,5,3,4,2,6,1,8] => {{1,7},{2,5},{3},{4},{6},{8}}
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => [7,2,4,5,3,6,1,8] => {{1,7},{2},{3,4,5},{6},{8}}
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [2,4,5,3,6,7,1,8] => [7,2,5,4,3,6,1,8] => {{1,7},{2},{3,5},{4},{6},{8}}
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [3,2,5,4,6,7,1,8] => [7,3,2,5,4,6,1,8] => {{1,7},{2,3},{4,5},{6},{8}}
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [7,2,3,5,4,6,1,8] => {{1,7},{2},{3},{4,5},{6},{8}}
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [7,2,3,4,5,6,1,8] => {{1,7},{2},{3},{4},{5},{6},{8}}
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [1,3,4,5,6,7,2,8] => {{1},{2,3,4,5,6,7},{8}}
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [1,3,4,5,7,6,2,8] => {{1},{2,3,4,5,7},{6},{8}}
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [1,3,5,4,7,6,2,8] => {{1},{2,3,5,7},{4},{6},{8}}
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [1,3,6,5,4,7,2,8] => {{1},{2,3,6,7},{4,5},{8}}
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [1,4,5,7,6,3,2,8] => [1,3,6,4,5,7,2,8] => {{1},{2,3,6,7},{4},{5},{8}}
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8] => [1,3,7,4,5,6,2,8] => {{1},{2,3,7},{4},{5},{6},{8}}
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [1,4,3,5,7,6,2,8] => {{1},{2,4,5,7},{3},{6},{8}}
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [1,4,3,6,5,7,2,8] => {{1},{2,4,6,7},{3},{5},{8}}
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [1,4,3,7,6,5,2,8] => [1,5,4,3,6,7,2,8] => {{1},{2,5,6,7},{3,4},{8}}
[[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [1,5,6,4,3,7,2,8] => [1,7,4,6,5,3,2,8] => {{1},{2,7},{3,4,6},{5},{8}}
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [1,7,6,5,4,3,2,8] => {{1},{2,7},{3,6},{4,5},{8}}
[[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,4,5,6,3,7,2,8] => [1,7,6,4,5,3,2,8] => {{1},{2,7},{3,6},{4},{5},{8}}
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [1,7,3,6,5,4,2,8] => {{1},{2,7},{3},{4,6},{5},{8}}
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [1,7,5,4,3,6,2,8] => {{1},{2,7},{3,5},{4},{6},{8}}
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,3,5,4,6,7,2,8] => [1,7,3,5,4,6,2,8] => {{1},{2,7},{3},{4,5},{6},{8}}
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [1,7,3,4,5,6,2,8] => {{1},{2,7},{3},{4},{5},{6},{8}}
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [2,1,4,5,6,7,3,8] => {{1,2},{3,4,5,6,7},{8}}
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [2,1,4,7,6,5,3,8] => [2,1,5,4,6,7,3,8] => {{1,2},{3,5,6,7},{4},{8}}
[[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [2,1,5,6,4,7,3,8] => [2,1,7,6,5,4,3,8] => {{1,2},{3,7},{4,6},{5},{8}}
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [1,2,4,5,6,7,3,8] => {{1},{2},{3,4,5,6,7},{8}}
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [1,2,4,7,6,5,3,8] => [1,2,5,4,6,7,3,8] => {{1},{2},{3,5,6,7},{4},{8}}
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [1,2,7,6,5,4,3,8] => {{1},{2},{3,7},{4,6},{5},{8}}
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [1,2,7,5,4,6,3,8] => {{1},{2},{3,7},{4,5},{6},{8}}
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [2,3,1,5,6,7,4,8] => {{1,2,3},{4,5,6,7},{8}}
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [2,3,1,6,5,7,4,8] => {{1,2,3},{4,6,7},{5},{8}}
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [2,3,1,7,5,6,4,8] => {{1,2,3},{4,7},{5},{6},{8}}
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,5,7,6,4,8] => {{1,3},{2},{4,5,7},{6},{8}}
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,2,1,7,6,5,4,8] => {{1,3},{2},{4,7},{5,6},{8}}
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [3,2,1,7,5,6,4,8] => {{1,3},{2},{4,7},{5},{6},{8}}
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [1,3,2,5,6,7,4,8] => {{1},{2,3},{4,5,6,7},{8}}
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [1,3,2,5,7,6,4,8] => {{1},{2,3},{4,5,7},{6},{8}}
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [1,3,2,6,5,7,4,8] => {{1},{2,3},{4,6,7},{5},{8}}
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [1,3,2,7,6,5,4,8] => {{1},{2,3},{4,7},{5,6},{8}}
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [1,2,3,5,6,7,4,8] => {{1},{2},{3},{4,5,6,7},{8}}
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [1,2,3,5,7,6,4,8] => {{1},{2},{3},{4,5,7},{6},{8}}
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [1,2,3,6,5,7,4,8] => {{1},{2},{3},{4,6,7},{5},{8}}
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [1,2,3,7,6,5,4,8] => {{1},{2},{3},{4,7},{5,6},{8}}
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [1,2,3,7,5,6,4,8] => {{1},{2},{3},{4,7},{5},{6},{8}}
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [2,3,4,1,6,7,5,8] => {{1,2,3,4},{5,6,7},{8}}
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [2,3,4,1,7,6,5,8] => {{1,2,3,4},{5,7},{6},{8}}
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [4,3,2,1,6,7,5,8] => {{1,4},{2,3},{5,6,7},{8}}
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [4,3,2,1,7,6,5,8] => {{1,4},{2,3},{5,7},{6},{8}}
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [4,2,3,1,7,6,5,8] => {{1,4},{2},{3},{5,7},{6},{8}}
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [1,3,4,2,6,7,5,8] => {{1},{2,3,4},{5,6,7},{8}}
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [1,3,4,2,7,6,5,8] => [1,4,3,2,6,7,5,8] => {{1},{2,4},{3},{5,6,7},{8}}
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [1,4,3,2,7,6,5,8] => {{1},{2,4},{3},{5,7},{6},{8}}
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [2,1,4,3,7,6,5,8] => [2,1,4,3,6,7,5,8] => {{1,2},{3,4},{5,6,7},{8}}
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [1,2,4,3,7,6,5,8] => [1,2,4,3,6,7,5,8] => {{1},{2},{3,4},{5,6,7},{8}}
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [2,3,1,4,6,7,5,8] => {{1,2,3},{4},{5,6,7},{8}}
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [3,2,1,4,7,6,5,8] => {{1,3},{2},{4},{5,7},{6},{8}}
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,3,2,4,6,7,5,8] => [1,3,2,4,7,6,5,8] => {{1},{2,3},{4},{5,7},{6},{8}}
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [1,2,3,4,6,7,5,8] => {{1},{2},{3},{4},{5,6,7},{8}}
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [1,2,3,4,7,6,5,8] => {{1},{2},{3},{4},{5,7},{6},{8}}
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [2,3,4,5,1,7,6,8] => {{1,2,3,4,5},{6,7},{8}}
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [2,3,5,4,1,7,6,8] => {{1,2,3,5},{4},{6,7},{8}}
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [2,4,3,5,1,7,6,8] => {{1,2,4,5},{3},{6,7},{8}}
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [4,3,5,2,1,7,6,8] => [2,5,4,3,1,7,6,8] => {{1,2,5},{3,4},{6,7},{8}}
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,5,4,1,7,6,8] => {{1,3,5},{2},{4},{6,7},{8}}
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [5,4,3,2,1,7,6,8] => {{1,5},{2,4},{3},{6,7},{8}}
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [5,2,4,3,1,7,6,8] => {{1,5},{2},{3,4},{6,7},{8}}
[[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [3,2,4,5,1,7,6,8] => [5,3,2,4,1,7,6,8] => {{1,5},{2,3},{4},{6,7},{8}}
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [1,3,4,5,2,7,6,8] => {{1},{2,3,4,5},{6,7},{8}}
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [1,3,5,4,2,7,6,8] => {{1},{2,3,5},{4},{6,7},{8}}
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [1,4,3,5,2,7,6,8] => {{1},{2,4,5},{3},{6,7},{8}}
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [1,5,4,3,2,7,6,8] => {{1},{2,5},{3,4},{6,7},{8}}
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [1,2,5,4,3,7,6,8] => [1,2,4,5,3,7,6,8] => {{1},{2},{3,4,5},{6,7},{8}}
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [2,3,1,5,4,7,6,8] => {{1,2,3},{4,5},{6,7},{8}}
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [3,2,1,5,4,7,6,8] => {{1,3},{2},{4,5},{6,7},{8}}
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => {{1},{2,3},{4,5},{6,7},{8}}
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => {{1},{2},{3},{4,5},{6,7},{8}}
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [2,3,4,1,5,7,6,8] => {{1,2,3,4},{5},{6,7},{8}}
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [2,4,3,1,5,7,6,8] => [3,2,4,1,5,7,6,8] => {{1,3,4},{2},{5},{6,7},{8}}
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [4,3,2,1,5,7,6,8] => {{1,4},{2,3},{5},{6,7},{8}}
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [4,2,3,1,5,7,6,8] => {{1,4},{2},{3},{5},{6,7},{8}}
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [1,3,4,2,5,7,6,8] => {{1},{2,3,4},{5},{6,7},{8}}
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [1,4,3,2,5,7,6,8] => {{1},{2,4},{3},{5},{6,7},{8}}
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => {{1},{2},{3,4},{5},{6,7},{8}}
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8] => [2,3,1,4,5,7,6,8] => {{1,2,3},{4},{5},{6,7},{8}}
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [3,2,1,4,5,7,6,8] => {{1,3},{2},{4},{5},{6,7},{8}}
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => {{1},{2,3},{4},{5},{6,7},{8}}
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [2,1,3,4,5,7,6,8] => {{1,2},{3},{4},{5},{6,7},{8}}
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => {{1},{2},{3},{4},{5},{6,7},{8}}
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [2,3,4,5,6,1,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [2,3,4,6,5,1,7,8] => {{1,2,3,4,6},{5},{7},{8}}
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [2,3,6,5,4,1,7,8] => {{1,2,3,6},{4,5},{7},{8}}
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [2,3,6,4,5,1,7,8] => {{1,2,3,6},{4},{5},{7},{8}}
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [3,5,6,4,2,1,7,8] => [2,4,3,6,5,1,7,8] => {{1,2,4,6},{3},{5},{7},{8}}
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [2,6,4,5,3,1,7,8] => {{1,2,6},{3,4,5},{7},{8}}
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [2,6,3,4,5,1,7,8] => {{1,2,6},{3},{4},{5},{7},{8}}
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [2,3,6,5,4,1,7,8] => [4,2,3,5,6,1,7,8] => {{1,4,5,6},{2},{3},{7},{8}}
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [3,4,2,6,5,1,7,8] => [5,4,3,2,6,1,7,8] => {{1,5,6},{2,4},{3},{7},{8}}
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [5,2,4,3,6,1,7,8] => {{1,5,6},{2},{3,4},{7},{8}}
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [5,2,3,4,6,1,7,8] => {{1,5,6},{2},{3},{4},{7},{8}}
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [6,5,4,3,2,1,7,8] => {{1,6},{2,5},{3,4},{7},{8}}
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [6,5,3,4,2,1,7,8] => {{1,6},{2,5},{3},{4},{7},{8}}
[[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [2,5,4,3,6,1,7,8] => [6,2,4,5,3,1,7,8] => {{1,6},{2},{3,4,5},{7},{8}}
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [3,2,5,4,6,1,7,8] => [6,3,2,5,4,1,7,8] => {{1,6},{2,3},{4,5},{7},{8}}
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [6,2,3,5,4,1,7,8] => {{1,6},{2},{3},{4,5},{7},{8}}
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [6,4,3,2,5,1,7,8] => {{1,6},{2,4},{3},{5},{7},{8}}
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [6,2,3,4,5,1,7,8] => {{1,6},{2},{3},{4},{5},{7},{8}}
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [1,3,4,5,6,2,7,8] => {{1},{2,3,4,5,6},{7},{8}}
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [1,3,6,5,4,2,7,8] => [1,4,3,5,6,2,7,8] => {{1},{2,4,5,6},{3},{7},{8}}
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [1,4,3,6,5,2,7,8] => {{1},{2,4,6},{3},{5},{7},{8}}
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [1,5,4,3,6,2,7,8] => {{1},{2,5,6},{3,4},{7},{8}}
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [1,6,4,5,3,2,7,8] => {{1},{2,6},{3,4,5},{7},{8}}
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [1,6,5,4,3,2,7,8] => {{1},{2,6},{3,5},{4},{7},{8}}
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,3,5,4,6,2,7,8] => [1,6,3,5,4,2,7,8] => {{1},{2,6},{3},{4,5},{7},{8}}
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => [1,6,4,3,5,2,7,8] => {{1},{2,6},{3,4},{5},{7},{8}}
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [1,6,3,4,5,2,7,8] => {{1},{2,6},{3},{4},{5},{7},{8}}
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [2,1,4,6,5,3,7,8] => {{1,2},{3,4,6},{5},{7},{8}}
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [1,2,4,5,6,3,7,8] => {{1},{2},{3,4,5,6},{7},{8}}
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [1,2,4,6,5,3,7,8] => {{1},{2},{3,4,6},{5},{7},{8}}
[[[[[.,.],.],[[.,[.,.]],.]],.],.] => [1,2,5,4,6,3,7,8] => [1,2,6,5,4,3,7,8] => {{1},{2},{3,6},{4,5},{7},{8}}
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [1,2,6,4,5,3,7,8] => {{1},{2},{3,6},{4},{5},{7},{8}}
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [2,3,1,5,6,4,7,8] => {{1,2,3},{4,5,6},{7},{8}}
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [2,3,1,6,5,4,7,8] => {{1,2,3},{4,6},{5},{7},{8}}
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [3,2,1,5,6,4,7,8] => {{1,3},{2},{4,5,6},{7},{8}}
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [3,2,1,6,5,4,7,8] => {{1,3},{2},{4,6},{5},{7},{8}}
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [1,3,2,5,6,4,7,8] => {{1},{2,3},{4,5,6},{7},{8}}
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [1,3,2,6,5,4,7,8] => {{1},{2,3},{4,6},{5},{7},{8}}
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [1,2,3,5,6,4,7,8] => {{1},{2},{3},{4,5,6},{7},{8}}
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [1,2,3,6,5,4,7,8] => {{1},{2},{3},{4,6},{5},{7},{8}}
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [2,3,4,1,6,5,7,8] => {{1,2,3,4},{5,6},{7},{8}}
[[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [3,4,2,1,6,5,7,8] => [2,4,3,1,6,5,7,8] => {{1,2,4},{3},{5,6},{7},{8}}
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8] => [3,2,4,1,6,5,7,8] => {{1,3,4},{2},{5,6},{7},{8}}
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [4,3,2,1,6,5,7,8] => {{1,4},{2,3},{5,6},{7},{8}}
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [4,2,3,1,6,5,7,8] => {{1,4},{2},{3},{5,6},{7},{8}}
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,1,4,3,6,5,7,8] => {{1,2},{3,4},{5,6},{7},{8}}
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => {{1},{2},{3,4},{5,6},{7},{8}}
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [1,3,2,4,6,5,7,8] => {{1},{2,3},{4},{5,6},{7},{8}}
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [2,1,3,4,6,5,7,8] => {{1,2},{3},{4},{5,6},{7},{8}}
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => {{1},{2},{3},{4},{5,6},{7},{8}}
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [2,3,4,5,1,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [2,3,5,4,1,6,7,8] => {{1,2,3,5},{4},{6},{7},{8}}
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [2,4,3,5,1,6,7,8] => {{1,2,4,5},{3},{6},{7},{8}}
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [2,5,4,3,1,6,7,8] => {{1,2,5},{3,4},{6},{7},{8}}
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [2,5,3,4,1,6,7,8] => {{1,2,5},{3},{4},{6},{7},{8}}
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [3,2,4,5,1,6,7,8] => {{1,3,4,5},{2},{6},{7},{8}}
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [3,2,5,4,1,6,7,8] => {{1,3,5},{2},{4},{6},{7},{8}}
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [4,3,2,5,1,6,7,8] => {{1,4,5},{2,3},{6},{7},{8}}
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [4,2,3,5,1,6,7,8] => {{1,4,5},{2},{3},{6},{7},{8}}
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [5,3,4,2,1,6,7,8] => {{1,5},{2,3,4},{6},{7},{8}}
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [5,4,3,2,1,6,7,8] => {{1,5},{2,4},{3},{6},{7},{8}}
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [5,2,4,3,1,6,7,8] => {{1,5},{2},{3,4},{6},{7},{8}}
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [5,3,2,4,1,6,7,8] => {{1,5},{2,3},{4},{6},{7},{8}}
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [5,2,3,4,1,6,7,8] => {{1,5},{2},{3},{4},{6},{7},{8}}
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [1,3,4,5,2,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}}
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,4,3,5,2,6,7,8] => [1,5,4,3,2,6,7,8] => {{1},{2,5},{3,4},{6},{7},{8}}
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [1,5,3,4,2,6,7,8] => {{1},{2,5},{3},{4},{6},{7},{8}}
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [2,1,4,5,3,6,7,8] => {{1,2},{3,4,5},{6},{7},{8}}
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [2,1,5,4,3,6,7,8] => {{1,2},{3,5},{4},{6},{7},{8}}
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,2,4,5,3,6,7,8] => [1,2,5,4,3,6,7,8] => {{1},{2},{3,5},{4},{6},{7},{8}}
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [2,3,1,5,4,6,7,8] => {{1,2,3},{4,5},{6},{7},{8}}
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [3,2,1,5,4,6,7,8] => {{1,3},{2},{4,5},{6},{7},{8}}
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => {{1},{2,3},{4,5},{6},{7},{8}}
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => [2,1,3,5,4,6,7,8] => {{1,2},{3},{4,5},{6},{7},{8}}
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => {{1},{2},{3},{4,5},{6},{7},{8}}
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => {{1,2,3,4},{5},{6},{7},{8}}
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [2,4,3,1,5,6,7,8] => {{1,2,4},{3},{5},{6},{7},{8}}
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [3,2,4,1,5,6,7,8] => {{1,3,4},{2},{5},{6},{7},{8}}
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => {{1,4},{2,3},{5},{6},{7},{8}}
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => {{1,4},{2},{3},{5},{6},{7},{8}}
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}}
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => {{1},{2,4},{3},{5},{6},{7},{8}}
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [2,1,4,3,5,6,7,8] => {{1,2},{3,4},{5},{6},{7},{8}}
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => {{1},{2},{3,4},{5},{6},{7},{8}}
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => {{1,2,3},{4},{5},{6},{7},{8}}
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => {{1,3},{2},{4},{5},{6},{7},{8}}
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => {{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] => [2,3,4,5,6,7,8,9,1] => {{1,2,3,4,5,6,7,8,9}}
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [2,3,4,5,6,7,9,8,1] => {{1,2,3,4,5,6,7,9},{8}}
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [2,3,4,5,6,9,7,8,1] => {{1,2,3,4,5,6,9},{7},{8}}
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [2,3,4,5,9,6,7,8,1] => {{1,2,3,4,5,9},{6},{7},{8}}
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [2,3,4,9,5,6,7,8,1] => {{1,2,3,4,9},{5},{6},{7},{8}}
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [2,3,9,4,5,6,7,8,1] => {{1,2,3,9},{4},{5},{6},{7},{8}}
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [2,9,3,4,5,6,7,8,1] => {{1,2,9},{3},{4},{5},{6},{7},{8}}
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [9,2,3,4,5,6,7,8,1] => {{1,9},{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}}
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,1] => {{1,2,3,4,5,6,7,8,9,10}}
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,10,9,1] => {{1,2,3,4,5,6,7,8,10},{9}}
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [2,3,4,5,6,8,7,9,1] => {{1,2,3,4,5,6,8,9},{7}}
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [2,3,4,5,6,7,10,8,9,1] => {{1,2,3,4,5,6,7,10},{8},{9}}
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [2,3,4,5,6,10,7,8,9,1] => {{1,2,3,4,5,6,10},{7},{8},{9}}
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [2,3,4,5,10,6,7,8,9,1] => {{1,2,3,4,5,10},{6},{7},{8},{9}}
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [2,3,4,10,5,6,7,8,9,1] => {{1,2,3,4,10},{5},{6},{7},{8},{9}}
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [2,3,10,4,5,6,7,8,9,1] => {{1,2,3,10},{4},{5},{6},{7},{8},{9}}
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [2,4,5,6,7,8,9,3,1] => [3,2,9,4,5,6,7,8,1] => {{1,3,9},{2},{4},{5},{6},{7},{8}}
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [2,10,3,4,5,6,7,8,9,1] => {{1,2,10},{3},{4},{5},{6},{7},{8},{9}}
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [1,9,3,4,5,6,7,8,2] => {{1},{2,9},{3},{4},{5},{6},{7},{8}}
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [10,2,3,4,5,6,7,8,9,1] => {{1,10},{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}}
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [2,3,4,5,6,9,8,7,1] => {{1,2,3,4,5,6,9},{7,8}}
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [2,3,4,5,9,7,8,6,1] => {{1,2,3,4,5,9},{6,7,8}}
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [2,3,4,9,6,7,8,5,1] => {{1,2,3,4,9},{5,6,7,8}}
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [2,3,9,5,6,7,8,4,1] => {{1,2,3,9},{4,5,6,7,8}}
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [2,9,4,5,6,7,8,3,1] => {{1,2,9},{3,4,5,6,7,8}}
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [9,3,4,5,6,7,8,2,1] => {{1,9},{2,3,4,5,6,7,8}}
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,1,9] => {{1,2,3,4,5,6,7,8},{9}}
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [2,3,4,5,6,7,10,9,8,1] => {{1,2,3,4,5,6,7,10},{8,9}}
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [6,8,7,9,5,4,3,2,1] => [2,3,4,5,9,6,8,7,1] => {{1,2,3,4,5,9},{6},{7,8}}
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [2,3,4,5,6,10,8,9,7,1] => {{1,2,3,4,5,6,10},{7,8,9}}
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [2,3,4,5,10,7,8,9,6,1] => {{1,2,3,4,5,10},{6,7,8,9}}
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [2,3,4,10,6,7,8,9,5,1] => {{1,2,3,4,10},{5,6,7,8,9}}
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [2,3,10,5,6,7,8,9,4,1] => {{1,2,3,10},{4,5,6,7,8,9}}
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [2,10,4,5,6,7,8,9,3,1] => {{1,2,10},{3,4,5,6,7,8,9}}
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [1,3,4,5,6,7,8,2,9] => {{1},{2,3,4,5,6,7,8},{9}}
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [10,3,4,5,6,7,8,9,2,1] => {{1,10},{2,3,4,5,6,7,8,9}}
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,1,10] => {{1,2,3,4,5,6,7,8,9},{10}}
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [1,4,3,6,5,8,7,10,9,2] => {{1},{2,4,6,8,10},{3},{5},{7},{9}}
[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => [1,3,5,8,9,7,10,6,4,2] => [1,4,3,6,5,10,9,8,7,2] => {{1},{2,4,6,10},{3},{5},{7,9},{8}}
[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]] => [1,3,6,7,5,9,10,8,4,2] => [1,4,3,8,7,6,5,10,9,2] => {{1},{2,4,8,10},{3},{5,7},{6},{9}}
[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]] => [1,3,6,8,9,7,5,10,4,2] => [1,4,3,10,7,6,9,8,5,2] => {{1},{2,4,10},{3},{5,7,9},{6},{8}}
[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]] => [1,3,7,8,6,9,5,10,4,2] => [1,4,3,10,9,8,7,6,5,2] => {{1},{2,4,10},{3},{5,9},{6,8},{7}}
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => [1,4,5,3,7,9,10,8,6,2] => [1,6,5,4,3,8,7,10,9,2] => {{1},{2,6,8,10},{3,5},{4},{7},{9}}
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => [1,4,5,3,8,9,7,10,6,2] => [1,6,5,4,3,10,9,8,7,2] => {{1},{2,6,10},{3,5},{4},{7,9},{8}}
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]] => [1,4,6,7,5,3,9,10,8,2] => [1,8,5,4,7,6,3,10,9,2] => {{1},{2,8,10},{3,5,7},{4},{6},{9}}
[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]] => [1,5,6,4,7,3,9,10,8,2] => [1,8,7,6,5,4,3,10,9,2] => {{1},{2,8,10},{3,7},{4,6},{5},{9}}
[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]] => [1,4,6,8,9,7,5,3,10,2] => [1,10,5,4,7,6,9,8,3,2] => {{1},{2,10},{3,5,7,9},{4},{6},{8}}
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [1,4,7,8,6,9,5,3,10,2] => [1,10,5,4,9,8,7,6,3,2] => {{1},{2,10},{3,5,9},{4},{6,8},{7}}
[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]] => [1,5,6,4,8,9,7,3,10,2] => [1,10,7,6,5,4,9,8,3,2] => {{1},{2,10},{3,7,9},{4,6},{5},{8}}
[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]] => [1,5,7,8,6,4,9,3,10,2] => [1,10,9,6,5,8,7,4,3,2] => {{1},{2,10},{3,9},{4,6,8},{5},{7}}
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [1,6,7,5,8,4,9,3,10,2] => [1,10,9,8,7,6,5,4,3,2] => {{1},{2,10},{3,9},{4,8},{5,7},{6}}
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]] => [2,3,1,5,7,9,10,8,6,4] => [3,2,1,6,5,8,7,10,9,4] => {{1,3},{2},{4,6,8,10},{5},{7},{9}}
[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]] => [2,3,1,5,8,9,7,10,6,4] => [3,2,1,6,5,10,9,8,7,4] => {{1,3},{2},{4,6,10},{5},{7,9},{8}}
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]] => [2,3,1,6,7,5,9,10,8,4] => [3,2,1,8,7,6,5,10,9,4] => {{1,3},{2},{4,8,10},{5,7},{6},{9}}
[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]] => [2,3,1,6,8,9,7,5,10,4] => [3,2,1,10,7,6,9,8,5,4] => {{1,3},{2},{4,10},{5,7,9},{6},{8}}
[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]] => [2,3,1,7,8,6,9,5,10,4] => [3,2,1,10,9,8,7,6,5,4] => {{1,3},{2},{4,10},{5,9},{6,8},{7}}
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]] => [2,4,5,3,1,7,9,10,8,6] => [3,2,5,4,1,8,7,10,9,6] => {{1,3,5},{2},{4},{6,8,10},{7},{9}}
[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]] => [2,4,5,3,1,8,9,7,10,6] => [3,2,5,4,1,10,9,8,7,6] => {{1,3,5},{2},{4},{6,10},{7,9},{8}}
[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]] => [3,4,2,5,1,7,9,10,8,6] => [5,4,3,2,1,8,7,10,9,6] => {{1,5},{2,4},{3},{6,8,10},{7},{9}}
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]] => [3,4,2,5,1,8,9,7,10,6] => [5,4,3,2,1,10,9,8,7,6] => {{1,5},{2,4},{3},{6,10},{7,9},{8}}
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]] => [2,4,6,7,5,3,1,9,10,8] => [3,2,5,4,7,6,1,10,9,8] => {{1,3,5,7},{2},{4},{6},{8,10},{9}}
[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]] => [2,5,6,4,7,3,1,9,10,8] => [3,2,7,6,5,4,1,10,9,8] => {{1,3,7},{2},{4,6},{5},{8,10},{9}}
[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]] => [3,4,2,6,7,5,1,9,10,8] => [5,4,3,2,7,6,1,10,9,8] => {{1,5,7},{2,4},{3},{6},{8,10},{9}}
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]] => [3,5,6,4,2,7,1,9,10,8] => [7,4,3,6,5,2,1,10,9,8] => {{1,7},{2,4,6},{3},{5},{8,10},{9}}
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]] => [4,5,3,6,2,7,1,9,10,8] => [7,6,5,4,3,2,1,10,9,8] => {{1,7},{2,6},{3,5},{4},{8,10},{9}}
[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.] => [2,4,6,8,9,7,5,3,1,10] => [3,2,5,4,7,6,9,8,1,10] => {{1,3,5,7,9},{2},{4},{6},{8},{10}}
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.] => [2,4,7,8,6,9,5,3,1,10] => [3,2,5,4,9,8,7,6,1,10] => {{1,3,5,9},{2},{4},{6,8},{7},{10}}
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.] => [2,5,6,4,8,9,7,3,1,10] => [3,2,7,6,5,4,9,8,1,10] => {{1,3,7,9},{2},{4,6},{5},{8},{10}}
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.] => [2,5,7,8,6,4,9,3,1,10] => [3,2,9,6,5,8,7,4,1,10] => {{1,3,9},{2},{4,6,8},{5},{7},{10}}
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.] => [2,6,7,5,8,4,9,3,1,10] => [3,2,9,8,7,6,5,4,1,10] => {{1,3,9},{2},{4,8},{5,7},{6},{10}}
[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],.] => [3,4,2,6,8,9,7,5,1,10] => [5,4,3,2,7,6,9,8,1,10] => {{1,5,7,9},{2,4},{3},{6},{8},{10}}
[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.] => [3,4,2,7,8,6,9,5,1,10] => [5,4,3,2,9,8,7,6,1,10] => {{1,5,9},{2,4},{3},{6,8},{7},{10}}
[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.] => [3,5,6,4,2,8,9,7,1,10] => [7,4,3,6,5,2,9,8,1,10] => {{1,7,9},{2,4,6},{3},{5},{8},{10}}
[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.] => [4,5,3,6,2,8,9,7,1,10] => [7,6,5,4,3,2,9,8,1,10] => {{1,7,9},{2,6},{3,5},{4},{8},{10}}
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.] => [3,5,7,8,6,4,2,9,1,10] => [9,4,3,6,5,8,7,2,1,10] => {{1,9},{2,4,6,8},{3},{5},{7},{10}}
[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.] => [3,6,7,5,8,4,2,9,1,10] => [9,4,3,8,7,6,5,2,1,10] => {{1,9},{2,4,8},{3},{5,7},{6},{10}}
[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.] => [4,5,3,7,8,6,2,9,1,10] => [9,6,5,4,3,8,7,2,1,10] => {{1,9},{2,6,8},{3,5},{4},{7},{10}}
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.] => [4,6,7,5,3,8,2,9,1,10] => [9,8,5,4,7,6,3,2,1,10] => {{1,9},{2,8},{3,5,7},{4},{6},{10}}
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [9,8,7,6,5,4,3,2,1,10] => {{1,9},{2,8},{3,7},{4,6},{5},{10}}
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,3,5,7,9,11,12,10,8,6,4,2] => [1,4,3,6,5,8,7,10,9,12,11,2] => {{1},{2,4,6,8,10,12},{3},{5},{7},{9},{11}}
[[.,.],[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]] => [1,3,5,7,10,11,9,12,8,6,4,2] => [1,4,3,6,5,8,7,12,11,10,9,2] => {{1},{2,4,6,8,12},{3},{5},{7},{9,11},{10}}
[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]] => [1,3,5,8,9,7,11,12,10,6,4,2] => [1,4,3,6,5,10,9,8,7,12,11,2] => {{1},{2,4,6,10,12},{3},{5},{7,9},{8},{11}}
[[.,.],[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]] => [1,3,5,8,10,11,9,7,12,6,4,2] => [1,4,3,6,5,12,9,8,11,10,7,2] => {{1},{2,4,6,12},{3},{5},{7,9,11},{8},{10}}
[[.,.],[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]] => [1,3,5,9,10,8,11,7,12,6,4,2] => [1,4,3,6,5,12,11,10,9,8,7,2] => {{1},{2,4,6,12},{3},{5},{7,11},{8,10},{9}}
[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]] => [1,3,6,7,5,9,11,12,10,8,4,2] => [1,4,3,8,7,6,5,10,9,12,11,2] => {{1},{2,4,8,10,12},{3},{5,7},{6},{9},{11}}
[[.,.],[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]] => [1,3,6,7,5,10,11,9,12,8,4,2] => [1,4,3,8,7,6,5,12,11,10,9,2] => {{1},{2,4,8,12},{3},{5,7},{6},{9,11},{10}}
[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]] => [1,3,6,8,9,7,5,11,12,10,4,2] => [1,4,3,10,7,6,9,8,5,12,11,2] => {{1},{2,4,10,12},{3},{5,7,9},{6},{8},{11}}
[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]]] => [1,3,7,8,6,9,5,11,12,10,4,2] => [1,4,3,10,9,8,7,6,5,12,11,2] => {{1},{2,4,10,12},{3},{5,9},{6,8},{7},{11}}
[[.,.],[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]] => [1,3,6,8,10,11,9,7,5,12,4,2] => [1,4,3,12,7,6,9,8,11,10,5,2] => {{1},{2,4,12},{3},{5,7,9,11},{6},{8},{10}}
[[.,.],[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]] => [1,3,6,9,10,8,11,7,5,12,4,2] => [1,4,3,12,7,6,11,10,9,8,5,2] => {{1},{2,4,12},{3},{5,7,11},{6},{8,10},{9}}
[[.,.],[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]]] => [1,3,7,8,6,10,11,9,5,12,4,2] => [1,4,3,12,9,8,7,6,11,10,5,2] => {{1},{2,4,12},{3},{5,9,11},{6,8},{7},{10}}
[[.,.],[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]] => [1,3,7,9,10,8,6,11,5,12,4,2] => [1,4,3,12,11,8,7,10,9,6,5,2] => {{1},{2,4,12},{3},{5,11},{6,8,10},{7},{9}}
[[.,.],[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]] => [1,3,8,9,7,10,6,11,5,12,4,2] => [1,4,3,12,11,10,9,8,7,6,5,2] => {{1},{2,4,12},{3},{5,11},{6,10},{7,9},{8}}
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]] => [1,4,5,3,7,9,11,12,10,8,6,2] => [1,6,5,4,3,8,7,10,9,12,11,2] => {{1},{2,6,8,10,12},{3,5},{4},{7},{9},{11}}
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]] => [1,4,5,3,7,10,11,9,12,8,6,2] => [1,6,5,4,3,8,7,12,11,10,9,2] => {{1},{2,6,8,12},{3,5},{4},{7},{9,11},{10}}
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]] => [1,4,5,3,8,9,7,11,12,10,6,2] => [1,6,5,4,3,10,9,8,7,12,11,2] => {{1},{2,6,10,12},{3,5},{4},{7,9},{8},{11}}
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]] => [1,4,5,3,8,10,11,9,7,12,6,2] => [1,6,5,4,3,12,9,8,11,10,7,2] => {{1},{2,6,12},{3,5},{4},{7,9,11},{8},{10}}
[[.,.],[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]]] => [1,4,5,3,9,10,8,11,7,12,6,2] => [1,6,5,4,3,12,11,10,9,8,7,2] => {{1},{2,6,12},{3,5},{4},{7,11},{8,10},{9}}
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,9,11,12,10,8,2] => [1,8,5,4,7,6,3,10,9,12,11,2] => {{1},{2,8,10,12},{3,5,7},{4},{6},{9},{11}}
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]] => [1,4,6,7,5,3,10,11,9,12,8,2] => [1,8,5,4,7,6,3,12,11,10,9,2] => {{1},{2,8,12},{3,5,7},{4},{6},{9,11},{10}}
[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]]] => [1,5,6,4,7,3,9,11,12,10,8,2] => [1,8,7,6,5,4,3,10,9,12,11,2] => {{1},{2,8,10,12},{3,7},{4,6},{5},{9},{11}}
[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,10,11,9,12,8,2] => [1,8,7,6,5,4,3,12,11,10,9,2] => {{1},{2,8,12},{3,7},{4,6},{5},{9,11},{10}}
[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]] => [1,4,6,8,9,7,5,3,11,12,10,2] => [1,10,5,4,7,6,9,8,3,12,11,2] => {{1},{2,10,12},{3,5,7,9},{4},{6},{8},{11}}
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]]] => [1,4,7,8,6,9,5,3,11,12,10,2] => [1,10,5,4,9,8,7,6,3,12,11,2] => {{1},{2,10,12},{3,5,9},{4},{6,8},{7},{11}}
[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]]] => [1,5,6,4,8,9,7,3,11,12,10,2] => [1,10,7,6,5,4,9,8,3,12,11,2] => {{1},{2,10,12},{3,7,9},{4,6},{5},{8},{11}}
[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]]] => [1,5,7,8,6,4,9,3,11,12,10,2] => [1,10,9,6,5,8,7,4,3,12,11,2] => {{1},{2,10,12},{3,9},{4,6,8},{5},{7},{11}}
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]]] => [1,6,7,5,8,4,9,3,11,12,10,2] => [1,10,9,8,7,6,5,4,3,12,11,2] => {{1},{2,10,12},{3,9},{4,8},{5,7},{6},{11}}
[[.,.],[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]] => [1,4,6,8,10,11,9,7,5,3,12,2] => [1,12,5,4,7,6,9,8,11,10,3,2] => {{1},{2,12},{3,5,7,9,11},{4},{6},{8},{10}}
[[.,.],[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]] => [1,4,6,9,10,8,11,7,5,3,12,2] => [1,12,5,4,7,6,11,10,9,8,3,2] => {{1},{2,12},{3,5,7,11},{4},{6},{8,10},{9}}
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.]] => [1,4,7,8,6,10,11,9,5,3,12,2] => [1,12,5,4,9,8,7,6,11,10,3,2] => {{1},{2,12},{3,5,9,11},{4},{6,8},{7},{10}}
[[.,.],[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]] => [1,4,7,9,10,8,6,11,5,3,12,2] => [1,12,5,4,11,8,7,10,9,6,3,2] => {{1},{2,12},{3,5,11},{4},{6,8,10},{7},{9}}
[[.,.],[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]] => [1,4,8,9,7,10,6,11,5,3,12,2] => [1,12,5,4,11,10,9,8,7,6,3,2] => {{1},{2,12},{3,5,11},{4},{6,10},{7,9},{8}}
[[.,.],[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],.]] => [1,5,6,4,8,10,11,9,7,3,12,2] => [1,12,7,6,5,4,9,8,11,10,3,2] => {{1},{2,12},{3,7,9,11},{4,6},{5},{8},{10}}
[[.,.],[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.]] => [1,5,6,4,9,10,8,11,7,3,12,2] => [1,12,7,6,5,4,11,10,9,8,3,2] => {{1},{2,12},{3,7,11},{4,6},{5},{8,10},{9}}
[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.]] => [1,5,7,8,6,4,10,11,9,3,12,2] => [1,12,9,6,5,8,7,4,11,10,3,2] => {{1},{2,12},{3,9,11},{4,6,8},{5},{7},{10}}
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.]] => [1,6,7,5,8,4,10,11,9,3,12,2] => [1,12,9,8,7,6,5,4,11,10,3,2] => {{1},{2,12},{3,9,11},{4,8},{5,7},{6},{10}}
[[.,.],[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.]] => [1,5,7,9,10,8,6,4,11,3,12,2] => [1,12,11,6,5,8,7,10,9,4,3,2] => {{1},{2,12},{3,11},{4,6,8,10},{5},{7},{9}}
[[.,.],[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]] => [1,5,8,9,7,10,6,4,11,3,12,2] => [1,12,11,6,5,10,9,8,7,4,3,2] => {{1},{2,12},{3,11},{4,6,10},{5},{7,9},{8}}
[[.,.],[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.]] => [1,6,7,5,9,10,8,4,11,3,12,2] => [1,12,11,8,7,6,5,10,9,4,3,2] => {{1},{2,12},{3,11},{4,8,10},{5,7},{6},{9}}
[[.,.],[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]] => [1,6,8,9,7,5,10,4,11,3,12,2] => [1,12,11,10,7,6,9,8,5,4,3,2] => {{1},{2,12},{3,11},{4,10},{5,7,9},{6},{8}}
[[.,.],[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]] => [1,7,8,6,9,5,10,4,11,3,12,2] => [1,12,11,10,9,8,7,6,5,4,3,2] => {{1},{2,12},{3,11},{4,10},{5,9},{6,8},{7}}
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [2,3,1,5,7,9,11,12,10,8,6,4] => [3,2,1,6,5,8,7,10,9,12,11,4] => {{1,3},{2},{4,6,8,10,12},{5},{7},{9},{11}}
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => [2,3,1,5,7,10,11,9,12,8,6,4] => [3,2,1,6,5,8,7,12,11,10,9,4] => {{1,3},{2},{4,6,8,12},{5},{7},{9,11},{10}}
[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]] => [2,3,1,5,8,9,7,11,12,10,6,4] => [3,2,1,6,5,10,9,8,7,12,11,4] => {{1,3},{2},{4,6,10,12},{5},{7,9},{8},{11}}
[[.,[[.,.],.]],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]] => [2,3,1,5,8,10,11,9,7,12,6,4] => [3,2,1,6,5,12,9,8,11,10,7,4] => {{1,3},{2},{4,6,12},{5},{7,9,11},{8},{10}}
[[.,[[.,.],.]],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]] => [2,3,1,5,9,10,8,11,7,12,6,4] => [3,2,1,6,5,12,11,10,9,8,7,4] => {{1,3},{2},{4,6,12},{5},{7,11},{8,10},{9}}
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => [2,3,1,6,7,5,9,11,12,10,8,4] => [3,2,1,8,7,6,5,10,9,12,11,4] => {{1,3},{2},{4,8,10,12},{5,7},{6},{9},{11}}
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => [2,3,1,6,7,5,10,11,9,12,8,4] => [3,2,1,8,7,6,5,12,11,10,9,4] => {{1,3},{2},{4,8,12},{5,7},{6},{9,11},{10}}
[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]] => [2,3,1,6,8,9,7,5,11,12,10,4] => [3,2,1,10,7,6,9,8,5,12,11,4] => {{1,3},{2},{4,10,12},{5,7,9},{6},{8},{11}}
[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]] => [2,3,1,7,8,6,9,5,11,12,10,4] => [3,2,1,10,9,8,7,6,5,12,11,4] => {{1,3},{2},{4,10,12},{5,9},{6,8},{7},{11}}
[[.,[[.,.],.]],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]] => [2,3,1,6,8,10,11,9,7,5,12,4] => [3,2,1,12,7,6,9,8,11,10,5,4] => {{1,3},{2},{4,12},{5,7,9,11},{6},{8},{10}}
[[.,[[.,.],.]],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [2,3,1,6,9,10,8,11,7,5,12,4] => [3,2,1,12,7,6,11,10,9,8,5,4] => {{1,3},{2},{4,12},{5,7,11},{6},{8,10},{9}}
[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]] => [2,3,1,7,8,6,10,11,9,5,12,4] => [3,2,1,12,9,8,7,6,11,10,5,4] => {{1,3},{2},{4,12},{5,9,11},{6,8},{7},{10}}
[[.,[[.,.],.]],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]] => [2,3,1,7,9,10,8,6,11,5,12,4] => [3,2,1,12,11,8,7,10,9,6,5,4] => {{1,3},{2},{4,12},{5,11},{6,8,10},{7},{9}}
[[.,[[.,.],.]],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [2,3,1,8,9,7,10,6,11,5,12,4] => [3,2,1,12,11,10,9,8,7,6,5,4] => {{1,3},{2},{4,12},{5,11},{6,10},{7,9},{8}}
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],[[.,.],.]]]] => [2,4,5,3,1,7,9,11,12,10,8,6] => [3,2,5,4,1,8,7,10,9,12,11,6] => {{1,3,5},{2},{4},{6,8,10,12},{7},{9},{11}}
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,[[.,.],.]],.]]] => [2,4,5,3,1,7,10,11,9,12,8,6] => [3,2,5,4,1,8,7,12,11,10,9,6] => {{1,3,5},{2},{4},{6,8,12},{7},{9,11},{10}}
[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],[[.,.],.]]] => [2,4,5,3,1,8,9,7,11,12,10,6] => [3,2,5,4,1,10,9,8,7,12,11,6] => {{1,3,5},{2},{4},{6,10,12},{7,9},{8},{11}}
[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],[[.,.],.]]],.]] => [2,4,5,3,1,8,10,11,9,7,12,6] => [3,2,5,4,1,12,9,8,11,10,7,6] => {{1,3,5},{2},{4},{6,12},{7,9,11},{8},{10}}
[[.,[[.,.],[[.,.],.]]],[[.,[[.,[[.,.],.]],.]],.]] => [2,4,5,3,1,9,10,8,11,7,12,6] => [3,2,5,4,1,12,11,10,9,8,7,6] => {{1,3,5},{2},{4},{6,12},{7,11},{8,10},{9}}
[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],[[.,.],.]]]] => [3,4,2,5,1,7,9,11,12,10,8,6] => [5,4,3,2,1,8,7,10,9,12,11,6] => {{1,5},{2,4},{3},{6,8,10,12},{7},{9},{11}}
[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,[[.,.],.]],.]]] => [3,4,2,5,1,7,10,11,9,12,8,6] => [5,4,3,2,1,8,7,12,11,10,9,6] => {{1,5},{2,4},{3},{6,8,12},{7},{9,11},{10}}
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,5,1,8,9,7,11,12,10,6] => [5,4,3,2,1,10,9,8,7,12,11,6] => {{1,5},{2,4},{3},{6,10,12},{7,9},{8},{11}}
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],[[.,.],.]]],.]] => [3,4,2,5,1,8,10,11,9,7,12,6] => [5,4,3,2,1,12,9,8,11,10,7,6] => {{1,5},{2,4},{3},{6,12},{7,9,11},{8},{10}}
[[.,[[.,[[.,.],.]],.]],[[.,[[.,[[.,.],.]],.]],.]] => [3,4,2,5,1,9,10,8,11,7,12,6] => [5,4,3,2,1,12,11,10,9,8,7,6] => {{1,5},{2,4},{3},{6,12},{7,11},{8,10},{9}}
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],[[.,.],.]]] => [2,4,6,7,5,3,1,9,11,12,10,8] => [3,2,5,4,7,6,1,10,9,12,11,8] => {{1,3,5,7},{2},{4},{6},{8,10,12},{9},{11}}
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,[[.,.],.]],.]] => [2,4,6,7,5,3,1,10,11,9,12,8] => [3,2,5,4,7,6,1,12,11,10,9,8] => {{1,3,5,7},{2},{4},{6},{8,12},{9,11},{10}}
[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],[[.,.],.]]] => [2,5,6,4,7,3,1,9,11,12,10,8] => [3,2,7,6,5,4,1,10,9,12,11,8] => {{1,3,7},{2},{4,6},{5},{8,10,12},{9},{11}}
[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,[[.,.],.]],.]] => [2,5,6,4,7,3,1,10,11,9,12,8] => [3,2,7,6,5,4,1,12,11,10,9,8] => {{1,3,7},{2},{4,6},{5},{8,12},{9,11},{10}}
[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],[[.,.],.]]] => [3,4,2,6,7,5,1,9,11,12,10,8] => [5,4,3,2,7,6,1,10,9,12,11,8] => {{1,5,7},{2,4},{3},{6},{8,10,12},{9},{11}}
[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,[[.,.],.]],.]] => [3,4,2,6,7,5,1,10,11,9,12,8] => [5,4,3,2,7,6,1,12,11,10,9,8] => {{1,5,7},{2,4},{3},{6},{8,12},{9,11},{10}}
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],[[.,.],.]]] => [3,5,6,4,2,7,1,9,11,12,10,8] => [7,4,3,6,5,2,1,10,9,12,11,8] => {{1,7},{2,4,6},{3},{5},{8,10,12},{9},{11}}
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,[[.,.],.]],.]] => [3,5,6,4,2,7,1,10,11,9,12,8] => [7,4,3,6,5,2,1,12,11,10,9,8] => {{1,7},{2,4,6},{3},{5},{8,12},{9,11},{10}}
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],[[.,.],.]]] => [4,5,3,6,2,7,1,9,11,12,10,8] => [7,6,5,4,3,2,1,10,9,12,11,8] => {{1,7},{2,6},{3,5},{4},{8,10,12},{9},{11}}
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,[[.,.],.]],.]] => [4,5,3,6,2,7,1,10,11,9,12,8] => [7,6,5,4,3,2,1,12,11,10,9,8] => {{1,7},{2,6},{3,5},{4},{8,12},{9,11},{10}}
[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],[[.,.],.]] => [2,4,6,8,9,7,5,3,1,11,12,10] => [3,2,5,4,7,6,9,8,1,12,11,10] => {{1,3,5,7,9},{2},{4},{6},{8},{10,12},{11}}
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],[[.,.],.]] => [2,4,7,8,6,9,5,3,1,11,12,10] => [3,2,5,4,9,8,7,6,1,12,11,10] => {{1,3,5,9},{2},{4},{6,8},{7},{10,12},{11}}
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],[[.,.],.]] => [2,5,6,4,8,9,7,3,1,11,12,10] => [3,2,7,6,5,4,9,8,1,12,11,10] => {{1,3,7,9},{2},{4,6},{5},{8},{10,12},{11}}
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],[[.,.],.]] => [2,5,7,8,6,4,9,3,1,11,12,10] => [3,2,9,6,5,8,7,4,1,12,11,10] => {{1,3,9},{2},{4,6,8},{5},{7},{10,12},{11}}
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],[[.,.],.]] => [2,6,7,5,8,4,9,3,1,11,12,10] => [3,2,9,8,7,6,5,4,1,12,11,10] => {{1,3,9},{2},{4,8},{5,7},{6},{10,12},{11}}
[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],[[.,.],.]] => [3,4,2,6,8,9,7,5,1,11,12,10] => [5,4,3,2,7,6,9,8,1,12,11,10] => {{1,5,7,9},{2,4},{3},{6},{8},{10,12},{11}}
[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],[[.,.],.]] => [3,4,2,7,8,6,9,5,1,11,12,10] => [5,4,3,2,9,8,7,6,1,12,11,10] => {{1,5,9},{2,4},{3},{6,8},{7},{10,12},{11}}
[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],[[.,.],.]] => [3,5,6,4,2,8,9,7,1,11,12,10] => [7,4,3,6,5,2,9,8,1,12,11,10] => {{1,7,9},{2,4,6},{3},{5},{8},{10,12},{11}}
[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],[[.,.],.]] => [4,5,3,6,2,8,9,7,1,11,12,10] => [7,6,5,4,3,2,9,8,1,12,11,10] => {{1,7,9},{2,6},{3,5},{4},{8},{10,12},{11}}
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],[[.,.],.]] => [3,5,7,8,6,4,2,9,1,11,12,10] => [9,4,3,6,5,8,7,2,1,12,11,10] => {{1,9},{2,4,6,8},{3},{5},{7},{10,12},{11}}
[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],[[.,.],.]] => [3,6,7,5,8,4,2,9,1,11,12,10] => [9,4,3,8,7,6,5,2,1,12,11,10] => {{1,9},{2,4,8},{3},{5,7},{6},{10,12},{11}}
[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],[[.,.],.]] => [4,5,3,7,8,6,2,9,1,11,12,10] => [9,6,5,4,3,8,7,2,1,12,11,10] => {{1,9},{2,6,8},{3,5},{4},{7},{10,12},{11}}
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],[[.,.],.]] => [4,6,7,5,3,8,2,9,1,11,12,10] => [9,8,5,4,7,6,3,2,1,12,11,10] => {{1,9},{2,8},{3,5,7},{4},{6},{10,12},{11}}
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],[[.,.],.]] => [5,6,4,7,3,8,2,9,1,11,12,10] => [9,8,7,6,5,4,3,2,1,12,11,10] => {{1,9},{2,8},{3,7},{4,6},{5},{10,12},{11}}
[[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.] => [2,4,6,8,10,11,9,7,5,3,1,12] => [3,2,5,4,7,6,9,8,11,10,1,12] => {{1,3,5,7,9,11},{2},{4},{6},{8},{10},{12}}
[[.,[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]],.] => [2,4,6,9,10,8,11,7,5,3,1,12] => [3,2,5,4,7,6,11,10,9,8,1,12] => {{1,3,5,7,11},{2},{4},{6},{8,10},{9},{12}}
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]],.] => [2,4,7,8,6,10,11,9,5,3,1,12] => [3,2,5,4,9,8,7,6,11,10,1,12] => {{1,3,5,9,11},{2},{4},{6,8},{7},{10},{12}}
[[.,[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]],.] => [2,4,7,9,10,8,6,11,5,3,1,12] => [3,2,5,4,11,8,7,10,9,6,1,12] => {{1,3,5,11},{2},{4},{6,8,10},{7},{9},{12}}
[[.,[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]],.] => [2,4,8,9,7,10,6,11,5,3,1,12] => [3,2,5,4,11,10,9,8,7,6,1,12] => {{1,3,5,11},{2},{4},{6,10},{7,9},{8},{12}}
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]],.] => [2,5,6,4,8,10,11,9,7,3,1,12] => [3,2,7,6,5,4,9,8,11,10,1,12] => {{1,3,7,9,11},{2},{4,6},{5},{8},{10},{12}}
[[.,[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]],.] => [2,5,6,4,9,10,8,11,7,3,1,12] => [3,2,7,6,5,4,11,10,9,8,1,12] => {{1,3,7,11},{2},{4,6},{5},{8,10},{9},{12}}
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]],.] => [2,5,7,8,6,4,10,11,9,3,1,12] => [3,2,9,6,5,8,7,4,11,10,1,12] => {{1,3,9,11},{2},{4,6,8},{5},{7},{10},{12}}
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]]],.] => [2,6,7,5,8,4,10,11,9,3,1,12] => [3,2,9,8,7,6,5,4,11,10,1,12] => {{1,3,9,11},{2},{4,8},{5,7},{6},{10},{12}}
[[.,[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]],.] => [2,5,7,9,10,8,6,4,11,3,1,12] => [3,2,11,6,5,8,7,10,9,4,1,12] => {{1,3,11},{2},{4,6,8,10},{5},{7},{9},{12}}
[[.,[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]],.] => [2,5,8,9,7,10,6,4,11,3,1,12] => [3,2,11,6,5,10,9,8,7,4,1,12] => {{1,3,11},{2},{4,6,10},{5},{7,9},{8},{12}}
[[.,[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]]],.] => [2,6,7,5,9,10,8,4,11,3,1,12] => [3,2,11,8,7,6,5,10,9,4,1,12] => {{1,3,11},{2},{4,8,10},{5,7},{6},{9},{12}}
[[.,[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]],.] => [2,6,8,9,7,5,10,4,11,3,1,12] => [3,2,11,10,7,6,9,8,5,4,1,12] => {{1,3,11},{2},{4,10},{5,7,9},{6},{8},{12}}
[[.,[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]],.] => [2,7,8,6,9,5,10,4,11,3,1,12] => [3,2,11,10,9,8,7,6,5,4,1,12] => {{1,3,11},{2},{4,10},{5,9},{6,8},{7},{12}}
[[.,[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]],.] => [3,4,2,6,8,10,11,9,7,5,1,12] => [5,4,3,2,7,6,9,8,11,10,1,12] => {{1,5,7,9,11},{2,4},{3},{6},{8},{10},{12}}
[[.,[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]],.] => [3,4,2,6,9,10,8,11,7,5,1,12] => [5,4,3,2,7,6,11,10,9,8,1,12] => {{1,5,7,11},{2,4},{3},{6},{8,10},{9},{12}}
[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]],.] => [3,4,2,7,8,6,10,11,9,5,1,12] => [5,4,3,2,9,8,7,6,11,10,1,12] => {{1,5,9,11},{2,4},{3},{6,8},{7},{10},{12}}
[[.,[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]],.] => [3,4,2,7,9,10,8,6,11,5,1,12] => [5,4,3,2,11,8,7,10,9,6,1,12] => {{1,5,11},{2,4},{3},{6,8,10},{7},{9},{12}}
[[.,[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]]],.] => [3,4,2,8,9,7,10,6,11,5,1,12] => [5,4,3,2,11,10,9,8,7,6,1,12] => {{1,5,11},{2,4},{3},{6,10},{7,9},{8},{12}}
[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,8,10,11,9,7,1,12] => [7,4,3,6,5,2,9,8,11,10,1,12] => {{1,7,9,11},{2,4,6},{3},{5},{8},{10},{12}}
[[.,[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]],.] => [3,5,6,4,2,9,10,8,11,7,1,12] => [7,4,3,6,5,2,11,10,9,8,1,12] => {{1,7,11},{2,4,6},{3},{5},{8,10},{9},{12}}
[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]]],.] => [4,5,3,6,2,8,10,11,9,7,1,12] => [7,6,5,4,3,2,9,8,11,10,1,12] => {{1,7,9,11},{2,6},{3,5},{4},{8},{10},{12}}
[[.,[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,9,10,8,11,7,1,12] => [7,6,5,4,3,2,11,10,9,8,1,12] => {{1,7,11},{2,6},{3,5},{4},{8,10},{9},{12}}
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]],.] => [3,5,7,8,6,4,2,10,11,9,1,12] => [9,4,3,6,5,8,7,2,11,10,1,12] => {{1,9,11},{2,4,6,8},{3},{5},{7},{10},{12}}
[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]]],.] => [3,6,7,5,8,4,2,10,11,9,1,12] => [9,4,3,8,7,6,5,2,11,10,1,12] => {{1,9,11},{2,4,8},{3},{5,7},{6},{10},{12}}
[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]]],.] => [4,5,3,7,8,6,2,10,11,9,1,12] => [9,6,5,4,3,8,7,2,11,10,1,12] => {{1,9,11},{2,6,8},{3,5},{4},{7},{10},{12}}
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]]],.] => [4,6,7,5,3,8,2,10,11,9,1,12] => [9,8,5,4,7,6,3,2,11,10,1,12] => {{1,9,11},{2,8},{3,5,7},{4},{6},{10},{12}}
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]]],.] => [5,6,4,7,3,8,2,10,11,9,1,12] => [9,8,7,6,5,4,3,2,11,10,1,12] => {{1,9,11},{2,8},{3,7},{4,6},{5},{10},{12}}
[[.,[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]],.] => [3,5,7,9,10,8,6,4,2,11,1,12] => [11,4,3,6,5,8,7,10,9,2,1,12] => {{1,11},{2,4,6,8,10},{3},{5},{7},{9},{12}}
[[.,[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]],.] => [3,5,8,9,7,10,6,4,2,11,1,12] => [11,4,3,6,5,10,9,8,7,2,1,12] => {{1,11},{2,4,6,10},{3},{5},{7,9},{8},{12}}
[[.,[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.]],.] => [3,6,7,5,9,10,8,4,2,11,1,12] => [11,4,3,8,7,6,5,10,9,2,1,12] => {{1,11},{2,4,8,10},{3},{5,7},{6},{9},{12}}
[[.,[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]],.] => [3,6,8,9,7,5,10,4,2,11,1,12] => [11,4,3,10,7,6,9,8,5,2,1,12] => {{1,11},{2,4,10},{3},{5,7,9},{6},{8},{12}}
[[.,[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]],.] => [3,7,8,6,9,5,10,4,2,11,1,12] => [11,4,3,10,9,8,7,6,5,2,1,12] => {{1,11},{2,4,10},{3},{5,9},{6,8},{7},{12}}
[[.,[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],.]],.] => [4,5,3,7,9,10,8,6,2,11,1,12] => [11,6,5,4,3,8,7,10,9,2,1,12] => {{1,11},{2,6,8,10},{3,5},{4},{7},{9},{12}}
[[.,[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.]],.] => [4,5,3,8,9,7,10,6,2,11,1,12] => [11,6,5,4,3,10,9,8,7,2,1,12] => {{1,11},{2,6,10},{3,5},{4},{7,9},{8},{12}}
[[.,[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.]],.] => [4,6,7,5,3,9,10,8,2,11,1,12] => [11,8,5,4,7,6,3,10,9,2,1,12] => {{1,11},{2,8,10},{3,5,7},{4},{6},{9},{12}}
[[.,[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.]],.] => [5,6,4,7,3,9,10,8,2,11,1,12] => [11,8,7,6,5,4,3,10,9,2,1,12] => {{1,11},{2,8,10},{3,7},{4,6},{5},{9},{12}}
[[.,[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.]],.] => [4,6,8,9,7,5,3,10,2,11,1,12] => [11,10,5,4,7,6,9,8,3,2,1,12] => {{1,11},{2,10},{3,5,7,9},{4},{6},{8},{12}}
[[.,[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]],.] => [4,7,8,6,9,5,3,10,2,11,1,12] => [11,10,5,4,9,8,7,6,3,2,1,12] => {{1,11},{2,10},{3,5,9},{4},{6,8},{7},{12}}
[[.,[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.]],.] => [5,6,4,8,9,7,3,10,2,11,1,12] => [11,10,7,6,5,4,9,8,3,2,1,12] => {{1,11},{2,10},{3,7,9},{4,6},{5},{8},{12}}
[[.,[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]],.] => [5,7,8,6,4,9,3,10,2,11,1,12] => [11,10,9,6,5,8,7,4,3,2,1,12] => {{1,11},{2,10},{3,9},{4,6,8},{5},{7},{12}}
[[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.] => [6,7,5,8,4,9,3,10,2,11,1,12] => [11,10,9,8,7,6,5,4,3,2,1,12] => {{1,11},{2,10},{3,9},{4,8},{5,7},{6},{12}}
[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [5,7,6,4,8,3,9,2,10,1] => [10,9,8,6,5,7,4,3,2,1] => {{1,10},{2,9},{3,8},{4,6,7},{5}}
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,1,4,6,5,3,8,10,9,7] => [2,1,5,4,6,3,9,8,10,7] => {{1,2},{3,5,6},{4},{7,9,10},{8}}
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [2,1,4,6,5,3,8,7,10,9] => [2,1,5,4,6,3,8,7,10,9] => {{1,2},{3,5,6},{4},{7,8},{9,10}}
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9] => {{1,2},{3,4},{5,6},{7,8},{9,10}}
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3,8,7,10,12,11,9] => [2,1,5,4,6,3,8,7,11,10,12,9] => {{1,2},{3,5,6},{4},{7,8},{9,11,12},{10}}
[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,10,9,7,12,11] => [2,1,5,4,6,3,9,8,10,7,12,11] => {{1,2},{3,5,6},{4},{7,9,10},{8},{11,12}}
[[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,1,4,6,5,3,8,7,10,9,12,11] => [2,1,5,4,6,3,8,7,10,9,12,11] => {{1,2},{3,5,6},{4},{7,8},{9,10},{11,12}}
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,1,4,3,6,5,8,7,10,9,12,11] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => {{1},{2},{3},{4},{5},{6},{7},{8,9}}
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [2,1,3,4,5,6,7,9,8] => {{1,2},{3},{4},{5},{6},{7},{8,9}}
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [9,3,2,4,5,6,7,8,1] => {{1,9},{2,3},{4},{5},{6},{7},{8}}
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}}
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [2,1,3,4,5,6,7,8,10,9] => {{1,2},{3},{4},{5},{6},{7},{8},{9,10}}
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [1,3,2,4,5,6,7,9,8] => {{1},{2,3},{4},{5},{6},{7},{8,9}}
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [9,4,3,2,5,6,7,8,1] => {{1,9},{2,4},{3},{5},{6},{7},{8}}
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [10,3,2,4,5,6,7,8,9,1] => {{1,10},{2,3},{4},{5},{6},{7},{8},{9}}
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [11,2,3,4,5,6,7,8,9,10,1] => {{1,11},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,8,7] => {{1},{2},{3},{4},{5},{6},{7,9},{8}}
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,7,8,6] => {{1},{2},{3},{4},{5},{6,9},{7},{8}}
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,6,7,8,5] => {{1},{2},{3},{4},{5,9},{6},{7},{8}}
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,5,6,7,8,4] => {{1},{2},{3},{4,9},{5},{6},{7},{8}}
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [1,2,9,4,5,6,7,8,3] => {{1},{2},{3,9},{4},{5},{6},{7},{8}}
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,9,7] => {{1},{2},{3},{4},{5},{6},{7,8,9}}
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,10,9,8] => {{1},{2},{3},{4},{5},{6},{7},{8,10},{9}}
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,9,8,7,6] => {{1},{2},{3},{4},{5},{6,9},{7,8}}
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,10,8,9,7] => {{1},{2},{3},{4},{5},{6},{7,10},{8},{9}}
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,4,7,6,8,9,5] => [1,2,3,4,9,7,6,8,5] => {{1},{2},{3},{4},{5,9},{6,7},{8}}
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,10,7,8,9,6] => {{1},{2},{3},{4},{5},{6,10},{7},{8},{9}}
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,2,3,6,5,7,8,9,4] => [1,2,3,9,6,5,7,8,4] => {{1},{2},{3},{4,9},{5,6},{7},{8}}
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,10,6,7,8,9,5] => {{1},{2},{3},{4},{5,10},{6},{7},{8},{9}}
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [1,2,5,4,6,7,8,9,3] => [1,2,9,5,4,6,7,8,3] => {{1},{2},{3,9},{4,5},{6},{7},{8}}
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,10,5,6,7,8,9,4] => {{1},{2},{3},{4,10},{5},{6},{7},{8},{9}}
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [1,9,4,3,5,6,7,8,2] => {{1},{2,9},{3,4},{5},{6},{7},{8}}
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [1,2,10,4,5,6,7,8,9,3] => {{1},{2},{3,10},{4},{5},{6},{7},{8},{9}}
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [1,10,3,4,5,6,7,8,9,2] => {{1},{2,10},{3},{4},{5},{6},{7},{8},{9}}
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,2] => {{1},{2,3,4,5,6,7,8,9}}
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [2,3,4,5,6,8,7,1,9] => {{1,2,3,4,5,6,8},{7},{9}}
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,8,9,7,6,5,4,3,2] => [1,3,4,5,6,7,9,8,2] => {{1},{2,3,4,5,6,7,9},{8}}
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,2] => {{1},{2,3,4,5,6,7,8,9,10}}
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,1,11] => {{1,2,3,4,5,6,7,8,9,10},{11}}
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,9,8,1,10] => {{1,2,3,4,5,6,7,9},{8},{10}}
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,9,10,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,10,9,2] => {{1},{2,3,4,5,6,7,8,10},{9}}
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,11,2] => {{1},{2,3,4,5,6,7,8,9,10,11}}
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [10,9,8,7,6,5,4,3,2,1] => {{1,10},{2,9},{3,8},{4,7},{5,6}}
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [2,1,7,6,8,5,9,4,10,3] => [2,1,10,9,8,7,6,5,4,3] => {{1,2},{3,10},{4,9},{5,8},{6,7}}
[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [3,2,4,1,8,7,9,6,10,5] => [4,3,2,1,10,9,8,7,6,5] => {{1,4},{2,3},{5,10},{6,9},{7,8}}
[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,4,3,8,7,9,6,10,5] => [2,1,4,3,10,9,8,7,6,5] => {{1,2},{3,4},{5,10},{6,9},{7,8}}
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [4,3,5,2,6,1,9,8,10,7] => [6,5,4,3,2,1,10,9,8,7] => {{1,6},{2,5},{3,4},{7,10},{8,9}}
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [2,1,5,4,6,3,9,8,10,7] => [2,1,6,5,4,3,10,9,8,7] => {{1,2},{3,6},{4,5},{7,10},{8,9}}
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,6,5,9,8,10,7] => [2,1,4,3,6,5,10,9,8,7] => {{1,2},{3,4},{5,6},{7,10},{8,9}}
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [5,4,6,3,7,2,8,1,10,9] => [8,7,6,5,4,3,2,1,10,9] => {{1,8},{2,7},{3,6},{4,5},{9,10}}
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [3,2,4,1,7,6,8,5,10,9] => [4,3,2,1,8,7,6,5,10,9] => {{1,4},{2,3},{5,8},{6,7},{9,10}}
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [4,3,5,2,6,1,8,7,10,9] => [6,5,4,3,2,1,8,7,10,9] => {{1,6},{2,5},{3,4},{7,8},{9,10}}
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7,10,9] => [4,3,2,1,6,5,8,7,10,9] => {{1,4},{2,3},{5,6},{7,8},{9,10}}
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [12,11,10,9,8,7,6,5,4,3,2,1] => {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7}}
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1,10,9,11,8,12,7] => [6,5,4,3,2,1,12,11,10,9,8,7] => {{1,6},{2,5},{3,4},{7,12},{8,11},{9,10}}
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [2,1,4,5,6,7,8,9,3] => {{1,2},{3,4,5,6,7,8,9}}
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [2,3,1,5,6,7,8,9,4] => {{1,2,3},{4,5,6,7,8,9}}
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [2,3,4,1,6,7,8,9,5] => {{1,2,3,4},{5,6,7,8,9}}
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [2,3,4,5,1,7,8,9,6] => {{1,2,3,4,5},{6,7,8,9}}
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [2,3,4,5,6,1,8,9,7] => {{1,2,3,4,5,6},{7,8,9}}
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [2,3,4,5,6,7,1,9,8] => {{1,2,3,4,5,6,7},{8,9}}
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [1,2,4,5,6,7,8,9,3] => {{1},{2},{3,4,5,6,7,8,9}}
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [2,1,4,5,6,7,8,9,10,3] => {{1,2},{3,4,5,6,7,8,9,10}}
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [3,2,1,5,6,7,8,9,4] => {{1,3},{2},{4,5,6,7,8,9}}
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [2,3,1,5,6,7,8,9,10,4] => {{1,2,3},{4,5,6,7,8,9,10}}
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [2,3,4,1,6,7,8,9,10,5] => {{1,2,3,4},{5,6,7,8,9,10}}
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [2,3,4,5,1,7,8,9,10,6] => {{1,2,3,4,5},{6,7,8,9,10}}
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [2,3,4,5,6,1,8,9,10,7] => {{1,2,3,4,5,6},{7,8,9,10}}
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [2,3,4,5,6,7,1,9,10,8] => {{1,2,3,4,5,6,7},{8,9,10}}
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [2,3,4,5,6,7,8,1,10,9] => {{1,2,3,4,5,6,7,8},{9,10}}
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,1,8,9] => {{1,2,3,4,5,6,7},{8},{9}}
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [2,3,4,5,6,1,7,8,9] => {{1,2,3,4,5,6},{7},{8},{9}}
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => {{1,2,3,4,5},{6},{7},{8},{9}}
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => {{1,2,3,4},{5},{6},{7},{8},{9}}
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [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] => [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] => [2,3,4,5,6,7,8,1,9,10] => {{1,2,3,4,5,6,7,8},{9},{10}}
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [2,3,4,5,6,7,1,8,9,10] => {{1,2,3,4,5,6,7},{8},{9},{10}}
[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,7,6,5,4,3,2,8,9] => [1,3,4,5,6,7,2,8,9] => {{1},{2,3,4,5,6,7},{8},{9}}
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10] => {{1,2,3,4,5,6},{7},{8},{9},{10}}
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10] => {{1,2,3,4,5},{6},{7},{8},{9},{10}}
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10] => {{1,2,3,4},{5},{6},{7},{8},{9},{10}}
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [1,3,4,2,5,6,7,8,9] => {{1},{2,3,4},{5},{6},{7},{8},{9}}
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => {{1,2,3},{4},{5},{6},{7},{8},{9},{10}}
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => {{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}}
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [3,9,8,7,6,5,4,2,1] => [2,4,3,5,6,7,8,9,1] => {{1,2,4,5,6,7,8,9},{3}}
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,9,1] => {{1,3,4,5,6,7,8,9},{2}}
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [6,10,9,8,7,5,4,3,2,1] => [2,3,4,5,7,6,8,9,10,1] => {{1,2,3,4,5,7,8,9,10},{6}}
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,8,7,5,10,9] => [3,2,4,1,7,6,8,5,10,9] => {{1,3,4},{2},{5,7,8},{6},{9,10}}
[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [2,4,3,1,6,5,8,10,9,7] => [3,2,4,1,6,5,9,8,10,7] => {{1,3,4},{2},{5,6},{7,9,10},{8}}
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7,10,9] => [3,2,4,1,6,5,8,7,10,9] => {{1,3,4},{2},{5,6},{7,8},{9,10}}
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,3,6,8,7,5,10,9] => [2,1,4,3,7,6,8,5,10,9] => {{1,2},{3,4},{5,7,8},{6},{9,10}}
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,10,9,7] => [2,1,4,3,6,5,9,8,10,7] => {{1,2},{3,4},{5,6},{7,9,10},{8}}
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5,10,12,11,9] => [3,2,4,1,7,6,8,5,11,10,12,9] => {{1,3,4},{2},{5,7,8},{6},{9,11,12},{10}}
[[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,8,7,5,10,9,12,11] => [3,2,4,1,7,6,8,5,10,9,12,11] => {{1,3,4},{2},{5,7,8},{6},{9,10},{11,12}}
[[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5,8,10,9,7,12,11] => [3,2,4,1,6,5,9,8,10,7,12,11] => {{1,3,4},{2},{5,6},{7,9,10},{8},{11,12}}
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,4,3,1,6,5,8,7,10,12,11,9] => [3,2,4,1,6,5,8,7,11,10,12,9] => {{1,3,4},{2},{5,6},{7,8},{9,11,12},{10}}
[[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7,10,9,12,11] => [3,2,4,1,6,5,8,7,10,9,12,11] => {{1,3,4},{2},{5,6},{7,8},{9,10},{11,12}}
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5,10,12,11,9] => [2,1,4,3,7,6,8,5,11,10,12,9] => {{1,2},{3,4},{5,7,8},{6},{9,11,12},{10}}
[[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [2,1,4,3,6,8,7,5,10,9,12,11] => [2,1,4,3,7,6,8,5,10,9,12,11] => {{1,2},{3,4},{5,7,8},{6},{9,10},{11,12}}
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,3,6,5,8,10,9,7,12,11] => [2,1,4,3,6,5,9,8,10,7,12,11] => {{1,2},{3,4},{5,6},{7,9,10},{8},{11,12}}
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,7,10,12,11,9] => [2,1,4,3,6,5,8,7,11,10,12,9] => {{1,2},{3,4},{5,6},{7,8},{9,11,12},{10}}
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [8,2,3,4,5,6,7,9,1] => {{1,8,9},{2},{3},{4},{5},{6},{7}}
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [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] => [2,1,3,4,5,6,8,7,9] => {{1,2},{3},{4},{5},{6},{7,8},{9}}
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [2,3,4,5,6,8,9,7,1] => [7,2,3,4,5,6,9,8,1] => {{1,7,9},{2},{3},{4},{5},{6},{8}}
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [9,2,3,4,5,6,7,8,10,1] => {{1,9,10},{2},{3},{4},{5},{6},{7},{8}}
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [2,1,4,3,5,6,7,8,9] => {{1,2},{3,4},{5},{6},{7},{8},{9}}
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [3,2,1,5,4,6,7,8,9] => [2,3,1,5,4,6,7,8,9] => {{1,2,3},{4,5},{6},{7},{8},{9}}
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [6,5,4,3,2,1,8,7,9] => [2,3,4,5,6,1,8,7,9] => {{1,2,3,4,5,6},{7,8},{9}}
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [8,2,3,4,5,6,7,1,9] => {{1,8},{2},{3},{4},{5},{6},{7},{9}}
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => {{1,3},{2},{4},{5},{6},{7},{8},{9}}
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,2,3,4,5,6,1,8,9] => {{1,7},{2},{3},{4},{5},{6},{8},{9}}
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => {{1,3},{2},{4},{5},{6},{7},{8},{9},{10}}
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9] => {{1,3,4},{2},{5},{6},{7},{8},{9}}
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [9,2,3,4,5,6,7,8,1,10] => {{1,9},{2},{3},{4},{5},{6},{7},{8},{10}}
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => {{1},{2},{3,4},{5},{6},{7},{8},{9}}
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => {{1},{2},{3},{4,5},{6},{7},{8},{9}}
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [1,2,3,4,6,5,7,8,9] => {{1},{2},{3},{4},{5,6},{7},{8},{9}}
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,7,6,8,9] => {{1},{2},{3},{4},{5},{6,7},{8},{9}}
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,8,7,9] => {{1},{2},{3},{4},{5},{6},{7,8},{9}}
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => {{1},{2,3},{4},{5},{6},{7},{8},{9},{10}}
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [1,2,4,3,5,6,7,8,9,10] => {{1},{2},{3,4},{5},{6},{7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [1,2,3,5,4,6,7,8,9,10] => {{1},{2},{3},{4,5},{6},{7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,6,5,7,8,9,10] => {{1},{2},{3},{4},{5,6},{7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,7,6,8,9,10] => {{1},{2},{3},{4},{5},{6,7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [1,2,3,4,5,6,8,7,9,10] => {{1},{2},{3},{4},{5},{6},{7,8},{9},{10}}
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [1,2,3,4,5,6,7,9,8,10] => {{1},{2},{3},{4},{5},{6},{7},{8,9},{10}}
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [1,8,3,4,5,6,7,9,2] => {{1},{2,8,9},{3},{4},{5},{6},{7}}
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,1] => [9,3,4,2,5,6,7,8,1] => {{1,9},{2,3,4},{5},{6},{7},{8}}
[.,[[[[[.,[.,[.,[.,.]]]],.],.],.],.]] => [5,4,3,2,6,7,8,9,1] => [9,3,4,5,2,6,7,8,1] => {{1,9},{2,3,4,5},{6},{7},{8}}
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [1,3,4,5,6,7,2,9,8] => {{1},{2,3,4,5,6,7},{8,9}}
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [2,3,4,5,6,1,9,8,7] => {{1,2,3,4,5,6},{7,9},{8}}
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [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] => [1,2,4,5,6,7,8,9,10,3] => {{1},{2},{3,4,5,6,7,8,9,10}}
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9] => [2,1,4,5,6,7,8,3,9] => {{1,2},{3,4,5,6,7,8},{9}}
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [1,3,4,5,6,7,8,9,2,10] => {{1},{2,3,4,5,6,7,8,9},{10}}
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [1,3,2,5,4,6,7,8,9] => [1,3,2,5,4,6,7,8,9] => {{1},{2,3},{4,5},{6},{7},{8},{9}}
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [2,1,9,4,5,6,7,8,3] => {{1,2},{3,9},{4},{5},{6},{7},{8}}
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,9,10,8] => {{1},{2},{3},{4},{5},{6},{7},{8,9,10}}
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [1,2,3,4,5,7,8,9,6] => {{1},{2},{3},{4},{5},{6,7,8,9}}
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [1,2,3,4,6,7,8,9,5] => {{1},{2},{3},{4},{5,6,7,8,9}}
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [1,2,3,5,6,7,8,9,4] => {{1},{2},{3},{4,5,6,7,8,9}}
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [1,2,3,4,5,7,6,9,8] => {{1},{2},{3},{4},{5},{6,7},{8,9}}
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [1,2,3,4,5,6,8,9,10,7] => {{1},{2},{3},{4},{5},{6},{7,8,9,10}}
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [1,2,3,4,5,7,8,9,10,6] => {{1},{2},{3},{4},{5},{6,7,8,9,10}}
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [1,2,3,4,6,7,8,9,10,5] => {{1},{2},{3},{4},{5,6,7,8,9,10}}
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4] => [1,2,3,5,6,7,8,9,10,4] => {{1},{2},{3},{4,5,6,7,8,9,10}}
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9] => [1,2,3,4,5,6,8,7,10,9] => {{1},{2},{3},{4},{5},{6},{7,8},{9,10}}
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,11,10,1] => {{1,2,3,4,5,6,7,8,9,11},{10}}
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [9,3,4,5,6,8,7,2,1] => {{1,9},{2,3,4,5,6,8},{7}}
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [2,4,3,1,5,6,7,8,9] => {{1,2,4},{3},{5},{6},{7},{8},{9}}
[[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9,10] => [2,4,3,1,5,6,7,8,9,10] => {{1,2,4},{3},{5},{6},{7},{8},{9},{10}}
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.] => [3,4,2,5,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => {{1,5},{2,4},{3},{6},{7},{8},{9}}
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [2,3,1,5,4,6,7,8,9] => [3,2,1,5,4,6,7,8,9] => {{1,3},{2},{4,5},{6},{7},{8},{9}}
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [4,5,3,2,1,6,7,8,9] => [2,3,5,4,1,6,7,8,9] => {{1,2,3,5},{4},{6},{7},{8},{9}}
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [7,6,5,4,3,2,1,9,8,10] => [2,3,4,5,6,7,1,9,8,10] => {{1,2,3,4,5,6,7},{8,9},{10}}
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [4,2,3,5,6,7,8,9,1] => {{1,4,5,6,7,8,9},{2},{3}}
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [2,8,7,6,5,4,3,1,9] => [3,2,4,5,6,7,8,1,9] => {{1,3,4,5,6,7,8},{2},{9}}
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [7,2,3,4,5,6,1,9,8] => {{1,7},{2},{3},{4},{5},{6},{8,9}}
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [1,4,3,2,5,6,7,8,9] => {{1},{2,4},{3},{5},{6},{7},{8},{9}}
[[.,.],[[.,[[[[[.,.],.],.],.],.]],.]] => [1,4,5,6,7,8,3,9,2] => [1,9,8,4,5,6,7,3,2] => {{1},{2,9},{3,8},{4},{5},{6},{7}}
[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,8,10,9,11] => [1,2,3,4,5,6,7,8,10,9,11] => {{1},{2},{3},{4},{5},{6},{7},{8},{9,10},{11}}
[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.] => [5,6,4,3,2,1,7,8,9] => [2,3,4,6,5,1,7,8,9] => {{1,2,3,4,6},{5},{7},{8},{9}}
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [6,7,5,4,3,2,1,8,9] => [2,3,4,5,7,6,1,8,9] => {{1,2,3,4,5,7},{6},{8},{9}}
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
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
Map
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
Sorry, this map was not found in the database.