Identifier
Mp00014:
Binary trees
—to 132-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}}
[[.,.],[.,.]] => [3,1,2] => [3,1,2] => {{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}}
[.,[[.,.],[.,.]]] => [4,2,3,1] => [3,4,2,1] => {{1,2,3,4}}
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,3,2,1] => {{1,4},{2,3}}
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,2,3,1] => {{1,4},{2},{3}}
[[.,.],[.,[.,.]]] => [4,3,1,2] => [3,1,4,2] => {{1,2,3,4}}
[[.,.],[[.,.],.]] => [3,4,1,2] => [4,1,3,2] => {{1,2,4},{3}}
[[.,[.,.]],[.,.]] => [4,2,1,3] => [2,4,1,3] => {{1,2,3,4}}
[[[.,.],.],[.,.]] => [4,1,2,3] => [4,1,2,3] => {{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}}
[[[.,.],[.,.]],.] => [3,1,2,4] => [3,1,2,4] => {{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}}
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [2,4,5,3,1] => {{1,2,3,4,5}}
[.,[.,[[.,[.,.]],.]]] => [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}}
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [3,4,2,5,1] => {{1,2,3,4,5}}
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [3,5,2,4,1] => {{1,2,3,5},{4}}
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [4,3,5,2,1] => {{1,2,3,4,5}}
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [4,5,2,3,1] => {{1,2,3,4,5}}
[.,[[.,[.,[.,.]]],.]] => [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}}
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [5,4,2,3,1] => {{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}}
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [3,1,4,5,2] => {{1,2,3,4,5}}
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [3,1,5,4,2] => {{1,2,3,5},{4}}
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [4,1,5,3,2] => {{1,2,3,4,5}}
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [5,1,4,3,2] => {{1,2,5},{3,4}}
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [5,1,3,4,2] => {{1,2,5},{3},{4}}
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [2,4,1,5,3] => {{1,2,3,4,5}}
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [2,5,1,4,3] => {{1,2,3,5},{4}}
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [4,1,2,5,3] => {{1,2,3,4,5}}
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [5,1,2,4,3] => {{1,2,3,5},{4}}
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [2,3,5,1,4] => {{1,2,3,4,5}}
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [3,5,2,1,4] => {{1,2,3,4,5}}
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [3,1,5,2,4] => {{1,2,3,4,5}}
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [2,5,1,3,4] => {{1,2,3,4,5}}
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [5,1,2,3,4] => {{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}}
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [3,4,2,1,5] => {{1,2,3,4},{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}}
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [3,1,4,2,5] => {{1,2,3,4},{5}}
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [4,1,3,2,5] => {{1,2,4},{3},{5}}
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [2,4,1,3,5] => {{1,2,3,4},{5}}
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [4,1,2,3,5] => {{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}}
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [3,1,2,4,5] => {{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}}
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}}
[.,[.,[.,[[.,[.,.]],.]]]] => [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}}
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}}
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [2,4,6,3,5,1] => {{1,2,3,4,6},{5}}
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}}
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [2,5,6,3,4,1] => {{1,2,3,4,5,6}}
[.,[.,[[.,[.,[.,.]]],.]]] => [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}}
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [2,6,5,3,4,1] => {{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}}
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}}
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [3,4,2,6,5,1] => {{1,2,3,4,6},{5}}
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [3,5,2,6,4,1] => {{1,2,3,4,5,6}}
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [3,6,2,5,4,1] => {{1,2,3,6},{4,5}}
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [3,6,2,4,5,1] => {{1,2,3,6},{4},{5}}
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}}
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [4,3,6,2,5,1] => {{1,2,3,4,6},{5}}
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [4,5,2,3,6,1] => {{1,2,3,4,5,6}}
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [4,6,2,3,5,1] => {{1,2,3,4,6},{5}}
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [5,3,4,6,2,1] => {{1,2,3,4,5,6}}
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [5,4,6,3,2,1] => {{1,2,3,4,5,6}}
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [5,4,2,6,3,1] => {{1,2,3,4,5,6}}
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [5,3,6,2,4,1] => {{1,2,3,4,5,6}}
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [5,6,2,3,4,1] => {{1,2,3,4,5,6}}
[.,[[.,[.,[.,[.,.]]]],.]] => [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}}
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [6,4,5,3,2,1] => {{1,6},{2,3,4,5}}
[.,[[.,[[.,[.,.]],.]],.]] => [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}}
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [6,4,2,5,3,1] => {{1,6},{2,3,4,5}}
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [6,5,2,4,3,1] => {{1,6},{2,3,5},{4}}
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [6,3,5,2,4,1] => {{1,6},{2,3,4,5}}
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [6,5,2,3,4,1] => {{1,6},{2,3,4,5}}
>>> Load all 1658 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}}
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [6,4,2,3,5,1] => {{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}}
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [3,1,4,5,6,2] => {{1,2,3,4,5,6}}
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [3,1,4,6,5,2] => {{1,2,3,4,6},{5}}
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [3,1,5,6,4,2] => {{1,2,3,4,5,6}}
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [3,1,6,5,4,2] => {{1,2,3,6},{4,5}}
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [3,1,6,4,5,2] => {{1,2,3,6},{4},{5}}
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [4,1,5,3,6,2] => {{1,2,3,4,5,6}}
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [4,1,6,3,5,2] => {{1,2,3,4,6},{5}}
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,1,4,6,3,2] => {{1,2,3,4,5,6}}
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [5,1,6,3,4,2] => {{1,2,3,4,5,6}}
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [6,1,4,5,3,2] => {{1,2,6},{3,4,5}}
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [6,1,5,4,3,2] => {{1,2,6},{3,5},{4}}
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [6,1,5,3,4,2] => {{1,2,6},{3,4,5}}
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [6,1,4,3,5,2] => {{1,2,6},{3,4},{5}}
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [6,1,3,4,5,2] => {{1,2,6},{3},{4},{5}}
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [2,4,1,5,6,3] => {{1,2,3,4,5,6}}
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [2,4,1,6,5,3] => {{1,2,3,4,6},{5}}
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [2,5,1,6,4,3] => {{1,2,3,4,5,6}}
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [2,6,1,5,4,3] => {{1,2,3,6},{4,5}}
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [2,6,1,4,5,3] => {{1,2,3,6},{4},{5}}
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [4,1,2,5,6,3] => {{1,2,3,4,5,6}}
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [4,1,2,6,5,3] => {{1,2,3,4,6},{5}}
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [5,1,2,6,4,3] => {{1,2,3,4,5,6}}
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [6,1,2,5,4,3] => {{1,2,3,6},{4,5}}
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => {{1,2,3,6},{4},{5}}
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [2,3,5,1,6,4] => {{1,2,3,4,5,6}}
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [2,3,6,1,5,4] => {{1,2,3,4,6},{5}}
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [3,5,2,1,6,4] => {{1,2,3,4,5,6}}
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [3,6,2,1,5,4] => {{1,2,3,4,6},{5}}
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [3,1,5,2,6,4] => {{1,2,3,4,5,6}}
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [3,1,6,2,5,4] => {{1,2,3,4,6},{5}}
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [2,5,1,3,6,4] => {{1,2,3,4,5,6}}
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [2,6,1,3,5,4] => {{1,2,3,4,6},{5}}
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [5,1,2,3,6,4] => {{1,2,3,4,5,6}}
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => {{1,2,3,4,6},{5}}
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [2,3,4,6,1,5] => {{1,2,3,4,5,6}}
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [2,4,6,3,1,5] => {{1,2,3,4,5,6}}
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [3,4,2,6,1,5] => {{1,2,3,4,5,6}}
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [4,3,6,2,1,5] => {{1,2,3,4,5,6}}
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [4,6,2,3,1,5] => {{1,2,3,4,5,6}}
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [3,1,4,6,2,5] => {{1,2,3,4,5,6}}
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,1,6,3,2,5] => {{1,2,3,4,5,6}}
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [2,4,1,6,3,5] => {{1,2,3,4,5,6}}
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [4,1,2,6,3,5] => {{1,2,3,4,5,6}}
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [2,3,6,1,4,5] => {{1,2,3,4,5,6}}
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [3,6,2,1,4,5] => {{1,2,3,4,5,6}}
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,1,6,2,4,5] => {{1,2,3,4,5,6}}
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => {{1,2,3,4,5,6}}
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => {{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}}
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [2,4,5,3,1,6] => {{1,2,3,4,5},{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}}
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [3,4,2,5,1,6] => {{1,2,3,4,5},{6}}
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [3,5,2,4,1,6] => {{1,2,3,5},{4},{6}}
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [4,3,5,2,1,6] => {{1,2,3,4,5},{6}}
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [4,5,2,3,1,6] => {{1,2,3,4,5},{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}}
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [5,4,2,3,1,6] => {{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}}
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [3,1,4,5,2,6] => {{1,2,3,4,5},{6}}
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [3,1,5,4,2,6] => {{1,2,3,5},{4},{6}}
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [4,1,5,3,2,6] => {{1,2,3,4,5},{6}}
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [5,1,4,3,2,6] => {{1,2,5},{3,4},{6}}
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [5,1,3,4,2,6] => {{1,2,5},{3},{4},{6}}
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [2,4,1,5,3,6] => {{1,2,3,4,5},{6}}
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [2,5,1,4,3,6] => {{1,2,3,5},{4},{6}}
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [4,1,2,5,3,6] => {{1,2,3,4,5},{6}}
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => {{1,2,3,5},{4},{6}}
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [2,3,5,1,4,6] => {{1,2,3,4,5},{6}}
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [3,5,2,1,4,6] => {{1,2,3,4,5},{6}}
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [3,1,5,2,4,6] => {{1,2,3,4,5},{6}}
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => {{1,2,3,4,5},{6}}
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => {{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}}
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [3,4,2,1,5,6] => {{1,2,3,4},{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}}
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [3,1,4,2,5,6] => {{1,2,3,4},{5},{6}}
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => {{1,2,4},{3},{5},{6}}
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => {{1,2,3,4},{5},{6}}
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => {{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}}
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => {{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}}
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}}
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [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}}
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}}
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}}
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}}
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}}
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [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}}
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [2,3,7,6,4,5,1] => {{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}}
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}}
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}}
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}}
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [2,4,7,3,6,5,1] => {{1,2,3,4,7},{5,6}}
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [2,4,7,3,5,6,1] => {{1,2,3,4,7},{5},{6}}
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}}
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [2,5,4,7,3,6,1] => {{1,2,3,4,5,7},{6}}
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}}
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [2,5,7,3,4,6,1] => {{1,2,3,4,5,7},{6}}
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [2,6,4,5,7,3,1] => {{1,2,3,4,5,6,7}}
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [2,6,5,7,4,3,1] => {{1,2,3,4,5,6,7}}
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [2,6,5,3,7,4,1] => {{1,2,3,4,5,6,7}}
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [2,6,4,7,3,5,1] => {{1,2,3,4,5,6,7}}
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [2,6,7,3,4,5,1] => {{1,2,3,4,5,6,7}}
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [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}}
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [2,7,5,6,4,3,1] => {{1,2,7},{3,4,5,6}}
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [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}}
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [2,7,5,3,6,4,1] => {{1,2,7},{3,4,5,6}}
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [2,7,6,3,5,4,1] => {{1,2,7},{3,4,6},{5}}
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [2,7,4,6,3,5,1] => {{1,2,7},{3,4,5,6}}
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [2,7,6,3,4,5,1] => {{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}}
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [2,7,5,3,4,6,1] => {{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}}
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}}
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}}
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}}
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [3,4,2,7,6,5,1] => {{1,2,3,4,7},{5,6}}
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [3,4,2,7,5,6,1] => {{1,2,3,4,7},{5},{6}}
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}}
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [3,5,2,7,4,6,1] => {{1,2,3,4,5,7},{6}}
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [3,6,2,5,7,4,1] => {{1,2,3,4,5,6,7}}
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [3,6,2,7,4,5,1] => {{1,2,3,4,5,6,7}}
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [3,7,2,5,6,4,1] => {{1,2,3,7},{4,5,6}}
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [3,7,2,6,5,4,1] => {{1,2,3,7},{4,6},{5}}
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [3,7,2,6,4,5,1] => {{1,2,3,7},{4,5,6}}
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [3,7,2,5,4,6,1] => {{1,2,3,7},{4,5},{6}}
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [3,7,2,4,5,6,1] => {{1,2,3,7},{4},{5},{6}}
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}}
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [4,3,5,2,7,6,1] => {{1,2,3,4,5,7},{6}}
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [4,3,6,2,7,5,1] => {{1,2,3,4,5,6,7}}
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [4,3,7,2,6,5,1] => {{1,2,3,4,7},{5,6}}
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [4,3,7,2,5,6,1] => {{1,2,3,4,7},{5},{6}}
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}}
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [4,5,2,3,7,6,1] => {{1,2,3,4,5,7},{6}}
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [4,6,2,3,7,5,1] => {{1,2,3,4,5,6,7}}
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [4,7,2,3,6,5,1] => {{1,2,3,4,7},{5,6}}
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [4,7,2,3,5,6,1] => {{1,2,3,4,7},{5},{6}}
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [5,3,4,6,2,7,1] => {{1,2,3,4,5,6,7}}
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [5,3,4,7,2,6,1] => {{1,2,3,4,5,7},{6}}
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [5,4,6,3,2,7,1] => {{1,2,3,4,5,6,7}}
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [5,4,7,3,2,6,1] => {{1,2,3,4,5,7},{6}}
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [5,4,2,6,3,7,1] => {{1,2,3,4,5,6,7}}
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [5,4,2,7,3,6,1] => {{1,2,3,4,5,7},{6}}
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [5,3,6,2,4,7,1] => {{1,2,3,4,5,6,7}}
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [5,3,7,2,4,6,1] => {{1,2,3,4,5,7},{6}}
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [5,6,2,3,4,7,1] => {{1,2,3,4,5,6,7}}
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [5,7,2,3,4,6,1] => {{1,2,3,4,5,7},{6}}
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [6,3,4,5,7,2,1] => {{1,2,3,4,5,6,7}}
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [6,3,5,7,4,2,1] => {{1,2,3,4,5,6,7}}
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [6,4,5,3,7,2,1] => {{1,2,3,4,5,6,7}}
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [6,5,4,7,3,2,1] => {{1,2,3,4,5,6,7}}
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [6,5,7,3,4,2,1] => {{1,2,3,4,5,6,7}}
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [6,4,2,5,7,3,1] => {{1,2,3,4,5,6,7}}
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [6,5,2,7,4,3,1] => {{1,2,3,4,5,6,7}}
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [6,3,5,2,7,4,1] => {{1,2,3,4,5,6,7}}
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [6,5,2,3,7,4,1] => {{1,2,3,4,5,6,7}}
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [6,3,4,7,2,5,1] => {{1,2,3,4,5,6,7}}
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [6,4,7,3,2,5,1] => {{1,2,3,4,5,6,7}}
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [6,4,2,7,3,5,1] => {{1,2,3,4,5,6,7}}
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [6,3,7,2,4,5,1] => {{1,2,3,4,5,6,7}}
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [6,7,2,3,4,5,1] => {{1,2,3,4,5,6,7}}
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [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}}
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [7,3,5,6,4,2,1] => {{1,7},{2,3,4,5,6}}
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [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}}
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [7,4,5,3,6,2,1] => {{1,7},{2,3,4,5,6}}
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [7,4,6,3,5,2,1] => {{1,7},{2,3,4,6},{5}}
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [7,5,4,6,3,2,1] => {{1,7},{2,3,4,5,6}}
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [7,5,6,3,4,2,1] => {{1,7},{2,3,4,5,6}}
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [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}}
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [7,6,5,3,4,2,1] => {{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}}
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [7,4,2,5,6,3,1] => {{1,7},{2,3,4,5,6}}
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [7,4,2,6,5,3,1] => {{1,7},{2,3,4,6},{5}}
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [7,5,2,6,4,3,1] => {{1,7},{2,3,4,5,6}}
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [7,6,2,5,4,3,1] => {{1,7},{2,3,6},{4,5}}
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [7,6,2,4,5,3,1] => {{1,7},{2,3,6},{4},{5}}
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [7,3,5,2,6,4,1] => {{1,7},{2,3,4,5,6}}
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [7,3,6,2,5,4,1] => {{1,7},{2,3,4,6},{5}}
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [7,5,2,3,6,4,1] => {{1,7},{2,3,4,5,6}}
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [7,6,2,3,5,4,1] => {{1,7},{2,3,4,6},{5}}
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [7,3,4,6,2,5,1] => {{1,7},{2,3,4,5,6}}
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [7,4,6,3,2,5,1] => {{1,7},{2,3,4,5,6}}
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [7,4,2,6,3,5,1] => {{1,7},{2,3,4,5,6}}
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [7,3,6,2,4,5,1] => {{1,7},{2,3,4,5,6}}
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [7,6,2,3,4,5,1] => {{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}}
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [7,4,5,3,2,6,1] => {{1,7},{2,3,4,5},{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}}
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [7,4,2,5,3,6,1] => {{1,7},{2,3,4,5},{6}}
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [7,5,2,4,3,6,1] => {{1,7},{2,3,5},{4},{6}}
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [7,3,5,2,4,6,1] => {{1,7},{2,3,4,5},{6}}
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [7,5,2,3,4,6,1] => {{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}}
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [7,4,2,3,5,6,1] => {{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}}
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [3,1,4,5,6,7,2] => {{1,2,3,4,5,6,7}}
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [3,1,4,5,7,6,2] => {{1,2,3,4,5,7},{6}}
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [3,1,4,6,7,5,2] => {{1,2,3,4,5,6,7}}
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [3,1,4,7,6,5,2] => {{1,2,3,4,7},{5,6}}
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [3,1,4,7,5,6,2] => {{1,2,3,4,7},{5},{6}}
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [3,1,5,6,4,7,2] => {{1,2,3,4,5,6,7}}
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [3,1,5,7,4,6,2] => {{1,2,3,4,5,7},{6}}
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [3,1,6,5,7,4,2] => {{1,2,3,4,5,6,7}}
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [3,1,6,7,4,5,2] => {{1,2,3,4,5,6,7}}
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [3,1,7,5,6,4,2] => {{1,2,3,7},{4,5,6}}
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [3,1,7,6,5,4,2] => {{1,2,3,7},{4,6},{5}}
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [3,1,7,6,4,5,2] => {{1,2,3,7},{4,5,6}}
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [3,1,7,5,4,6,2] => {{1,2,3,7},{4,5},{6}}
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [3,1,7,4,5,6,2] => {{1,2,3,7},{4},{5},{6}}
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [4,1,5,3,6,7,2] => {{1,2,3,4,5,6,7}}
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [4,1,5,3,7,6,2] => {{1,2,3,4,5,7},{6}}
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [4,1,6,3,7,5,2] => {{1,2,3,4,5,6,7}}
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [4,1,7,3,6,5,2] => {{1,2,3,4,7},{5,6}}
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [4,1,7,3,5,6,2] => {{1,2,3,4,7},{5},{6}}
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [5,1,4,6,3,7,2] => {{1,2,3,4,5,6,7}}
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [5,1,4,7,3,6,2] => {{1,2,3,4,5,7},{6}}
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [5,1,6,3,4,7,2] => {{1,2,3,4,5,6,7}}
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [5,1,7,3,4,6,2] => {{1,2,3,4,5,7},{6}}
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [6,1,4,5,7,3,2] => {{1,2,3,4,5,6,7}}
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [6,1,5,7,4,3,2] => {{1,2,3,4,5,6,7}}
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [6,1,5,3,7,4,2] => {{1,2,3,4,5,6,7}}
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [6,1,4,7,3,5,2] => {{1,2,3,4,5,6,7}}
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [6,1,7,3,4,5,2] => {{1,2,3,4,5,6,7}}
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [7,1,4,5,6,3,2] => {{1,2,7},{3,4,5,6}}
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [7,1,4,6,5,3,2] => {{1,2,7},{3,4,6},{5}}
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [7,1,5,6,4,3,2] => {{1,2,7},{3,4,5,6}}
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [7,1,6,5,4,3,2] => {{1,2,7},{3,6},{4,5}}
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [7,1,6,4,5,3,2] => {{1,2,7},{3,6},{4},{5}}
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [7,1,5,3,6,4,2] => {{1,2,7},{3,4,5,6}}
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [7,1,6,3,5,4,2] => {{1,2,7},{3,4,6},{5}}
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [7,1,4,6,3,5,2] => {{1,2,7},{3,4,5,6}}
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [7,1,6,3,4,5,2] => {{1,2,7},{3,4,5,6}}
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [7,1,4,5,3,6,2] => {{1,2,7},{3,4,5},{6}}
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [7,1,5,4,3,6,2] => {{1,2,7},{3,5},{4},{6}}
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [7,1,5,3,4,6,2] => {{1,2,7},{3,4,5},{6}}
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [7,1,4,3,5,6,2] => {{1,2,7},{3,4},{5},{6}}
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [7,1,3,4,5,6,2] => {{1,2,7},{3},{4},{5},{6}}
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [2,4,1,5,6,7,3] => {{1,2,3,4,5,6,7}}
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [2,4,1,5,7,6,3] => {{1,2,3,4,5,7},{6}}
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [2,4,1,6,7,5,3] => {{1,2,3,4,5,6,7}}
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [2,4,1,7,6,5,3] => {{1,2,3,4,7},{5,6}}
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [2,4,1,7,5,6,3] => {{1,2,3,4,7},{5},{6}}
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [2,5,1,6,4,7,3] => {{1,2,3,4,5,6,7}}
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [2,5,1,7,4,6,3] => {{1,2,3,4,5,7},{6}}
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [2,6,1,5,7,4,3] => {{1,2,3,4,5,6,7}}
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [2,6,1,7,4,5,3] => {{1,2,3,4,5,6,7}}
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [2,7,1,5,6,4,3] => {{1,2,3,7},{4,5,6}}
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [2,7,1,6,5,4,3] => {{1,2,3,7},{4,6},{5}}
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [2,7,1,6,4,5,3] => {{1,2,3,7},{4,5,6}}
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [2,7,1,5,4,6,3] => {{1,2,3,7},{4,5},{6}}
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [2,7,1,4,5,6,3] => {{1,2,3,7},{4},{5},{6}}
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [4,1,2,5,6,7,3] => {{1,2,3,4,5,6,7}}
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [4,1,2,5,7,6,3] => {{1,2,3,4,5,7},{6}}
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [4,1,2,6,7,5,3] => {{1,2,3,4,5,6,7}}
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [4,1,2,7,6,5,3] => {{1,2,3,4,7},{5,6}}
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [4,1,2,7,5,6,3] => {{1,2,3,4,7},{5},{6}}
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [5,1,2,6,4,7,3] => {{1,2,3,4,5,6,7}}
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [5,1,2,7,4,6,3] => {{1,2,3,4,5,7},{6}}
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [6,1,2,5,7,4,3] => {{1,2,3,4,5,6,7}}
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [6,1,2,7,4,5,3] => {{1,2,3,4,5,6,7}}
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [7,1,2,5,6,4,3] => {{1,2,3,7},{4,5,6}}
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [7,1,2,6,5,4,3] => {{1,2,3,7},{4,6},{5}}
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [7,1,2,6,4,5,3] => {{1,2,3,7},{4,5,6}}
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [7,1,2,5,4,6,3] => {{1,2,3,7},{4,5},{6}}
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [7,1,2,4,5,6,3] => {{1,2,3,7},{4},{5},{6}}
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [2,3,5,1,6,7,4] => {{1,2,3,4,5,6,7}}
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [2,3,5,1,7,6,4] => {{1,2,3,4,5,7},{6}}
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [2,3,6,1,7,5,4] => {{1,2,3,4,5,6,7}}
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [2,3,7,1,6,5,4] => {{1,2,3,4,7},{5,6}}
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [2,3,7,1,5,6,4] => {{1,2,3,4,7},{5},{6}}
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [3,5,2,1,6,7,4] => {{1,2,3,4,5,6,7}}
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [3,5,2,1,7,6,4] => {{1,2,3,4,5,7},{6}}
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [3,6,2,1,7,5,4] => {{1,2,3,4,5,6,7}}
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [3,7,2,1,6,5,4] => {{1,2,3,4,7},{5,6}}
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [3,7,2,1,5,6,4] => {{1,2,3,4,7},{5},{6}}
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [3,1,5,2,6,7,4] => {{1,2,3,4,5,6,7}}
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [3,1,5,2,7,6,4] => {{1,2,3,4,5,7},{6}}
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [3,1,6,2,7,5,4] => {{1,2,3,4,5,6,7}}
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [3,1,7,2,6,5,4] => {{1,2,3,4,7},{5,6}}
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [3,1,7,2,5,6,4] => {{1,2,3,4,7},{5},{6}}
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [2,5,1,3,6,7,4] => {{1,2,3,4,5,6,7}}
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [2,5,1,3,7,6,4] => {{1,2,3,4,5,7},{6}}
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [2,6,1,3,7,5,4] => {{1,2,3,4,5,6,7}}
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [2,7,1,3,6,5,4] => {{1,2,3,4,7},{5,6}}
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [2,7,1,3,5,6,4] => {{1,2,3,4,7},{5},{6}}
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [5,1,2,3,6,7,4] => {{1,2,3,4,5,6,7}}
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [5,1,2,3,7,6,4] => {{1,2,3,4,5,7},{6}}
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [6,1,2,3,7,5,4] => {{1,2,3,4,5,6,7}}
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [7,1,2,3,6,5,4] => {{1,2,3,4,7},{5,6}}
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [7,1,2,3,5,6,4] => {{1,2,3,4,7},{5},{6}}
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [2,3,4,6,1,7,5] => {{1,2,3,4,5,6,7}}
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [2,3,4,7,1,6,5] => {{1,2,3,4,5,7},{6}}
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [2,4,6,3,1,7,5] => {{1,2,3,4,5,6,7}}
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [2,4,7,3,1,6,5] => {{1,2,3,4,5,7},{6}}
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [3,4,2,6,1,7,5] => {{1,2,3,4,5,6,7}}
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [3,4,2,7,1,6,5] => {{1,2,3,4,5,7},{6}}
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [4,3,6,2,1,7,5] => {{1,2,3,4,5,6,7}}
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [4,3,7,2,1,6,5] => {{1,2,3,4,5,7},{6}}
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [4,6,2,3,1,7,5] => {{1,2,3,4,5,6,7}}
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [4,7,2,3,1,6,5] => {{1,2,3,4,5,7},{6}}
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [3,1,4,6,2,7,5] => {{1,2,3,4,5,6,7}}
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [3,1,4,7,2,6,5] => {{1,2,3,4,5,7},{6}}
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [4,1,6,3,2,7,5] => {{1,2,3,4,5,6,7}}
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [4,1,7,3,2,6,5] => {{1,2,3,4,5,7},{6}}
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [2,4,1,6,3,7,5] => {{1,2,3,4,5,6,7}}
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [2,4,1,7,3,6,5] => {{1,2,3,4,5,7},{6}}
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [4,1,2,6,3,7,5] => {{1,2,3,4,5,6,7}}
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [4,1,2,7,3,6,5] => {{1,2,3,4,5,7},{6}}
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [2,3,6,1,4,7,5] => {{1,2,3,4,5,6,7}}
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [2,3,7,1,4,6,5] => {{1,2,3,4,5,7},{6}}
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [3,6,2,1,4,7,5] => {{1,2,3,4,5,6,7}}
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [3,7,2,1,4,6,5] => {{1,2,3,4,5,7},{6}}
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [3,1,6,2,4,7,5] => {{1,2,3,4,5,6,7}}
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [3,1,7,2,4,6,5] => {{1,2,3,4,5,7},{6}}
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [2,6,1,3,4,7,5] => {{1,2,3,4,5,6,7}}
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [2,7,1,3,4,6,5] => {{1,2,3,4,5,7},{6}}
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [6,1,2,3,4,7,5] => {{1,2,3,4,5,6,7}}
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [7,1,2,3,4,6,5] => {{1,2,3,4,5,7},{6}}
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [2,3,4,5,7,1,6] => {{1,2,3,4,5,6,7}}
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [2,3,5,7,4,1,6] => {{1,2,3,4,5,6,7}}
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [2,4,5,3,7,1,6] => {{1,2,3,4,5,6,7}}
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [2,5,4,7,3,1,6] => {{1,2,3,4,5,6,7}}
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [2,5,7,3,4,1,6] => {{1,2,3,4,5,6,7}}
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [3,4,2,5,7,1,6] => {{1,2,3,4,5,6,7}}
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [3,5,2,7,4,1,6] => {{1,2,3,4,5,6,7}}
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [4,3,5,2,7,1,6] => {{1,2,3,4,5,6,7}}
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [4,5,2,3,7,1,6] => {{1,2,3,4,5,6,7}}
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [5,3,4,7,2,1,6] => {{1,2,3,4,5,6,7}}
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [5,4,7,3,2,1,6] => {{1,2,3,4,5,6,7}}
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [5,4,2,7,3,1,6] => {{1,2,3,4,5,6,7}}
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [5,3,7,2,4,1,6] => {{1,2,3,4,5,6,7}}
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [5,7,2,3,4,1,6] => {{1,2,3,4,5,6,7}}
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [3,1,4,5,7,2,6] => {{1,2,3,4,5,6,7}}
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [3,1,5,7,4,2,6] => {{1,2,3,4,5,6,7}}
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [4,1,5,3,7,2,6] => {{1,2,3,4,5,6,7}}
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [5,1,4,7,3,2,6] => {{1,2,3,4,5,6,7}}
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [5,1,7,3,4,2,6] => {{1,2,3,4,5,6,7}}
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [2,4,1,5,7,3,6] => {{1,2,3,4,5,6,7}}
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [2,5,1,7,4,3,6] => {{1,2,3,4,5,6,7}}
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [4,1,2,5,7,3,6] => {{1,2,3,4,5,6,7}}
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [5,1,2,7,4,3,6] => {{1,2,3,4,5,6,7}}
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [2,3,5,1,7,4,6] => {{1,2,3,4,5,6,7}}
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [3,5,2,1,7,4,6] => {{1,2,3,4,5,6,7}}
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [3,1,5,2,7,4,6] => {{1,2,3,4,5,6,7}}
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [2,5,1,3,7,4,6] => {{1,2,3,4,5,6,7}}
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [5,1,2,3,7,4,6] => {{1,2,3,4,5,6,7}}
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [2,3,4,7,1,5,6] => {{1,2,3,4,5,6,7}}
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [2,4,7,3,1,5,6] => {{1,2,3,4,5,6,7}}
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [3,4,2,7,1,5,6] => {{1,2,3,4,5,6,7}}
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [4,3,7,2,1,5,6] => {{1,2,3,4,5,6,7}}
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [4,7,2,3,1,5,6] => {{1,2,3,4,5,6,7}}
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [3,1,4,7,2,5,6] => {{1,2,3,4,5,6,7}}
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [4,1,7,3,2,5,6] => {{1,2,3,4,5,6,7}}
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [2,4,1,7,3,5,6] => {{1,2,3,4,5,6,7}}
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [4,1,2,7,3,5,6] => {{1,2,3,4,5,6,7}}
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [2,3,7,1,4,5,6] => {{1,2,3,4,5,6,7}}
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [3,7,2,1,4,5,6] => {{1,2,3,4,5,6,7}}
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,1,7,2,4,5,6] => {{1,2,3,4,5,6,7}}
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [2,7,1,3,4,5,6] => {{1,2,3,4,5,6,7}}
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => {{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}}
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [2,3,5,6,4,1,7] => {{1,2,3,4,5,6},{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}}
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [2,4,5,3,6,1,7] => {{1,2,3,4,5,6},{7}}
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [2,4,6,3,5,1,7] => {{1,2,3,4,6},{5},{7}}
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [2,5,4,6,3,1,7] => {{1,2,3,4,5,6},{7}}
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [2,5,6,3,4,1,7] => {{1,2,3,4,5,6},{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}}
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [2,6,5,3,4,1,7] => {{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}}
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [3,4,2,5,6,1,7] => {{1,2,3,4,5,6},{7}}
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [3,4,2,6,5,1,7] => {{1,2,3,4,6},{5},{7}}
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [3,5,2,6,4,1,7] => {{1,2,3,4,5,6},{7}}
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [3,6,2,5,4,1,7] => {{1,2,3,6},{4,5},{7}}
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [3,6,2,4,5,1,7] => {{1,2,3,6},{4},{5},{7}}
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}}
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [4,3,6,2,5,1,7] => {{1,2,3,4,6},{5},{7}}
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [4,5,2,3,6,1,7] => {{1,2,3,4,5,6},{7}}
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [4,6,2,3,5,1,7] => {{1,2,3,4,6},{5},{7}}
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [5,3,4,6,2,1,7] => {{1,2,3,4,5,6},{7}}
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [5,4,6,3,2,1,7] => {{1,2,3,4,5,6},{7}}
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [5,4,2,6,3,1,7] => {{1,2,3,4,5,6},{7}}
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [5,3,6,2,4,1,7] => {{1,2,3,4,5,6},{7}}
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [5,6,2,3,4,1,7] => {{1,2,3,4,5,6},{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}}
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [6,4,5,3,2,1,7] => {{1,6},{2,3,4,5},{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}}
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [6,4,2,5,3,1,7] => {{1,6},{2,3,4,5},{7}}
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [6,5,2,4,3,1,7] => {{1,6},{2,3,5},{4},{7}}
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [6,3,5,2,4,1,7] => {{1,6},{2,3,4,5},{7}}
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [6,5,2,3,4,1,7] => {{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}}
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [6,4,2,3,5,1,7] => {{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}}
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [3,1,4,5,6,2,7] => {{1,2,3,4,5,6},{7}}
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [3,1,4,6,5,2,7] => {{1,2,3,4,6},{5},{7}}
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [3,1,5,6,4,2,7] => {{1,2,3,4,5,6},{7}}
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [3,1,6,5,4,2,7] => {{1,2,3,6},{4,5},{7}}
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [3,1,6,4,5,2,7] => {{1,2,3,6},{4},{5},{7}}
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [4,1,5,3,6,2,7] => {{1,2,3,4,5,6},{7}}
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [4,1,6,3,5,2,7] => {{1,2,3,4,6},{5},{7}}
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [5,1,4,6,3,2,7] => {{1,2,3,4,5,6},{7}}
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [5,1,6,3,4,2,7] => {{1,2,3,4,5,6},{7}}
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [6,1,4,5,3,2,7] => {{1,2,6},{3,4,5},{7}}
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [6,1,5,4,3,2,7] => {{1,2,6},{3,5},{4},{7}}
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [6,1,5,3,4,2,7] => {{1,2,6},{3,4,5},{7}}
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [6,1,4,3,5,2,7] => {{1,2,6},{3,4},{5},{7}}
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [6,1,3,4,5,2,7] => {{1,2,6},{3},{4},{5},{7}}
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [2,4,1,5,6,3,7] => {{1,2,3,4,5,6},{7}}
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [2,4,1,6,5,3,7] => {{1,2,3,4,6},{5},{7}}
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [2,5,1,6,4,3,7] => {{1,2,3,4,5,6},{7}}
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [2,6,1,5,4,3,7] => {{1,2,3,6},{4,5},{7}}
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [2,6,1,4,5,3,7] => {{1,2,3,6},{4},{5},{7}}
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [4,1,2,5,6,3,7] => {{1,2,3,4,5,6},{7}}
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [4,1,2,6,5,3,7] => {{1,2,3,4,6},{5},{7}}
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [5,1,2,6,4,3,7] => {{1,2,3,4,5,6},{7}}
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [6,1,2,5,4,3,7] => {{1,2,3,6},{4,5},{7}}
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [6,1,2,4,5,3,7] => {{1,2,3,6},{4},{5},{7}}
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [2,3,5,1,6,4,7] => {{1,2,3,4,5,6},{7}}
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [2,3,6,1,5,4,7] => {{1,2,3,4,6},{5},{7}}
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [3,5,2,1,6,4,7] => {{1,2,3,4,5,6},{7}}
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [3,6,2,1,5,4,7] => {{1,2,3,4,6},{5},{7}}
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [3,1,5,2,6,4,7] => {{1,2,3,4,5,6},{7}}
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [3,1,6,2,5,4,7] => {{1,2,3,4,6},{5},{7}}
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [2,5,1,3,6,4,7] => {{1,2,3,4,5,6},{7}}
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [2,6,1,3,5,4,7] => {{1,2,3,4,6},{5},{7}}
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [5,1,2,3,6,4,7] => {{1,2,3,4,5,6},{7}}
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [6,1,2,3,5,4,7] => {{1,2,3,4,6},{5},{7}}
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [2,3,4,6,1,5,7] => {{1,2,3,4,5,6},{7}}
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [2,4,6,3,1,5,7] => {{1,2,3,4,5,6},{7}}
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [3,4,2,6,1,5,7] => {{1,2,3,4,5,6},{7}}
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [4,3,6,2,1,5,7] => {{1,2,3,4,5,6},{7}}
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [4,6,2,3,1,5,7] => {{1,2,3,4,5,6},{7}}
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [3,1,4,6,2,5,7] => {{1,2,3,4,5,6},{7}}
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [4,1,6,3,2,5,7] => {{1,2,3,4,5,6},{7}}
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [2,4,1,6,3,5,7] => {{1,2,3,4,5,6},{7}}
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [4,1,2,6,3,5,7] => {{1,2,3,4,5,6},{7}}
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [2,3,6,1,4,5,7] => {{1,2,3,4,5,6},{7}}
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [3,6,2,1,4,5,7] => {{1,2,3,4,5,6},{7}}
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [3,1,6,2,4,5,7] => {{1,2,3,4,5,6},{7}}
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [2,6,1,3,4,5,7] => {{1,2,3,4,5,6},{7}}
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => {{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}}
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [2,4,5,3,1,6,7] => {{1,2,3,4,5},{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}}
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [3,4,2,5,1,6,7] => {{1,2,3,4,5},{6},{7}}
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [3,5,2,4,1,6,7] => {{1,2,3,5},{4},{6},{7}}
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [4,3,5,2,1,6,7] => {{1,2,3,4,5},{6},{7}}
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [4,5,2,3,1,6,7] => {{1,2,3,4,5},{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}}
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [5,4,2,3,1,6,7] => {{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}}
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [3,1,4,5,2,6,7] => {{1,2,3,4,5},{6},{7}}
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [3,1,5,4,2,6,7] => {{1,2,3,5},{4},{6},{7}}
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [4,1,5,3,2,6,7] => {{1,2,3,4,5},{6},{7}}
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [5,1,4,3,2,6,7] => {{1,2,5},{3,4},{6},{7}}
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [5,1,3,4,2,6,7] => {{1,2,5},{3},{4},{6},{7}}
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [2,4,1,5,3,6,7] => {{1,2,3,4,5},{6},{7}}
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [2,5,1,4,3,6,7] => {{1,2,3,5},{4},{6},{7}}
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [4,1,2,5,3,6,7] => {{1,2,3,4,5},{6},{7}}
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [5,1,2,4,3,6,7] => {{1,2,3,5},{4},{6},{7}}
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [2,3,5,1,4,6,7] => {{1,2,3,4,5},{6},{7}}
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [3,5,2,1,4,6,7] => {{1,2,3,4,5},{6},{7}}
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [3,1,5,2,4,6,7] => {{1,2,3,4,5},{6},{7}}
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [2,5,1,3,4,6,7] => {{1,2,3,4,5},{6},{7}}
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => {{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}}
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [3,4,2,1,5,6,7] => {{1,2,3,4},{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}}
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [3,1,4,2,5,6,7] => {{1,2,3,4},{5},{6},{7}}
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => {{1,2,4},{3},{5},{6},{7}}
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [2,4,1,3,5,6,7] => {{1,2,3,4},{5},{6},{7}}
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => {{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}}
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => {{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}}
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [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}}
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [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}}
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [2,3,4,8,7,5,6,1] => {{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}}
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [6,7,8,4,5,3,2,1] => [2,3,5,8,4,6,7,1] => {{1,2,3,4,5,8},{6},{7}}
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [7,8,5,4,6,3,2,1] => [2,3,6,5,8,4,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [7,8,4,5,6,3,2,1] => [2,3,6,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [8,5,4,6,7,3,2,1] => [2,3,7,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [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}}
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [2,3,8,6,7,5,4,1] => {{1,2,3,8},{4,5,6,7}}
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [2,3,8,7,6,5,4,1] => {{1,2,3,8},{4,7},{5,6}}
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [2,3,8,7,4,5,6,1] => {{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}}
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [2,3,8,6,4,5,7,1] => {{1,2,3,8},{4,5,6},{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}}
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [2,4,5,3,8,7,6,1] => {{1,2,3,4,5,8},{6,7}}
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [6,7,8,5,3,4,2,1] => [2,4,5,3,8,6,7,1] => {{1,2,3,4,5,8},{6},{7}}
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [2,4,6,3,8,5,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [8,6,5,7,3,4,2,1] => [2,4,7,3,6,8,5,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [8,5,6,7,3,4,2,1] => [2,4,7,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [6,7,5,8,3,4,2,1] => [2,4,8,3,7,6,5,1] => {{1,2,3,4,8},{5,7},{6}}
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [7,5,6,8,3,4,2,1] => [2,4,8,3,7,5,6,1] => {{1,2,3,4,8},{5,6,7}}
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [2,4,8,3,6,5,7,1] => {{1,2,3,4,8},{5,6},{7}}
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [2,4,8,3,5,6,7,1] => {{1,2,3,4,8},{5},{6},{7}}
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [2,5,4,7,3,8,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [7,6,8,4,3,5,2,1] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}}
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [2,5,4,8,3,6,7,1] => {{1,2,3,4,5,8},{6},{7}}
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [7,8,6,3,4,5,2,1] => [2,5,6,3,4,8,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [8,6,7,3,4,5,2,1] => [2,5,7,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [2,5,8,3,4,6,7,1] => {{1,2,3,4,5,8},{6},{7}}
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [2,6,4,5,7,3,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [2,6,4,5,8,3,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [8,7,4,5,3,6,2,1] => [2,6,5,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [8,7,5,3,4,6,2,1] => [2,6,5,3,7,4,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [7,8,5,3,4,6,2,1] => [2,6,5,3,8,4,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [2,6,4,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [7,8,4,3,5,6,2,1] => [2,6,4,8,3,5,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [2,7,4,5,6,8,3,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [8,5,6,4,3,7,2,1] => [2,7,4,6,8,5,3,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [8,5,6,3,4,7,2,1] => [2,7,6,3,8,5,4,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [2,7,4,6,3,8,5,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [2,7,4,5,8,3,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [8,4,3,5,6,7,2,1] => [2,7,4,8,3,5,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [2,7,8,3,4,5,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [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}}
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [6,7,4,5,3,8,2,1] => [2,8,5,7,4,6,3,1] => {{1,2,8},{3,4,5,7},{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}}
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [2,8,7,6,4,5,3,1] => {{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}}
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [7,5,4,3,6,8,2,1] => [2,8,4,5,7,3,6,1] => {{1,2,8},{3,4,5,6,7}}
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [7,4,3,5,6,8,2,1] => [2,8,4,7,3,5,6,1] => {{1,2,8},{3,4,5,6,7}}
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [2,8,7,3,4,5,6,1] => {{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}}
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [6,5,3,4,7,8,2,1] => [2,8,5,3,6,4,7,1] => {{1,2,8},{3,4,5,6},{7}}
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [2,8,6,3,4,5,7,1] => {{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}}
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [5,3,4,6,7,8,2,1] => [2,8,5,3,4,6,7,1] => {{1,2,8},{3,4,5},{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}}
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [3,4,2,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}}
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,2,3,1] => [3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,2,3,1] => [3,4,2,8,6,7,5,1] => {{1,2,3,4,8},{5,6,7}}
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [3,4,2,8,7,6,5,1] => {{1,2,3,4,8},{5,7},{6}}
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [3,4,2,8,5,6,7,1] => {{1,2,3,4,8},{5},{6},{7}}
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,2,3,1] => [3,5,2,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [3,5,2,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,2,3,1] => [3,5,2,8,4,7,6,1] => {{1,2,3,4,5,8},{6,7}}
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,2,3,1] => [3,5,2,8,4,6,7,1] => {{1,2,3,4,5,8},{6},{7}}
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [3,6,2,5,7,4,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [3,6,2,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [3,7,2,6,8,5,4,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [8,4,5,6,7,2,3,1] => [3,7,2,8,4,5,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [3,8,2,6,7,5,4,1] => {{1,2,3,8},{4,5,6,7}}
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [3,8,2,7,6,5,4,1] => {{1,2,3,8},{4,7},{5,6}}
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,2,3,1] => [3,8,2,5,7,4,6,1] => {{1,2,3,8},{4,5,6,7}}
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,2,3,1] => [3,8,2,5,4,6,7,1] => {{1,2,3,8},{4,5},{6},{7}}
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [3,8,2,4,5,6,7,1] => {{1,2,3,8},{4},{5},{6},{7}}
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [4,3,5,2,8,7,6,1] => {{1,2,3,4,5,8},{6,7}}
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [4,3,5,2,8,6,7,1] => {{1,2,3,4,5,8},{6},{7}}
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [4,3,6,2,7,5,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [4,3,7,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,2,4,1] => [4,3,7,2,8,5,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [4,3,8,2,6,7,5,1] => {{1,2,3,4,8},{5,6,7}}
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [4,3,8,2,7,6,5,1] => {{1,2,3,4,8},{5,7},{6}}
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,2,4,1] => [4,3,8,2,7,5,6,1] => {{1,2,3,4,8},{5,6,7}}
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,2,4,1] => [4,3,8,2,6,5,7,1] => {{1,2,3,4,8},{5,6},{7}}
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [4,3,8,2,5,6,7,1] => {{1,2,3,4,8},{5},{6},{7}}
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [4,5,2,3,8,6,7,1] => {{1,2,3,4,5,8},{6},{7}}
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,2,3,4,1] => [4,6,2,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [4,7,2,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [6,5,7,8,2,3,4,1] => [4,8,2,3,6,5,7,1] => {{1,2,3,4,8},{5,6},{7}}
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [4,8,2,3,5,6,7,1] => {{1,2,3,4,8},{5},{6},{7}}
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [5,3,4,8,2,7,6,1] => {{1,2,3,4,5,8},{6,7}}
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [6,7,8,4,3,2,5,1] => [5,3,4,8,2,6,7,1] => {{1,2,3,4,5,8},{6},{7}}
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [5,4,6,3,2,7,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [7,8,6,3,4,2,5,1] => [5,4,6,3,2,8,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [5,4,7,3,2,8,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [5,4,8,3,2,7,6,1] => {{1,2,3,4,5,8},{6,7}}
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [5,4,8,3,2,6,7,1] => {{1,2,3,4,5,8},{6},{7}}
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,2,3,5,1] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,2,3,5,1] => [5,4,2,6,3,8,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [5,4,2,8,3,6,7,1] => {{1,2,3,4,5,8},{6},{7}}
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [5,3,6,2,4,7,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [5,3,6,2,4,8,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [8,6,7,3,2,4,5,1] => [5,3,7,2,4,8,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [5,3,8,2,4,6,7,1] => {{1,2,3,4,5,8},{6},{7}}
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [5,7,2,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [7,6,8,2,3,4,5,1] => [5,8,2,3,4,7,6,1] => {{1,2,3,4,5,8},{6,7}}
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [5,8,2,3,4,6,7,1] => {{1,2,3,4,5,8},{6},{7}}
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [6,3,4,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [6,3,4,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [6,4,5,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [6,4,5,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [7,8,4,3,5,2,6,1] => [6,5,4,8,3,2,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [7,8,3,4,5,2,6,1] => [6,5,8,3,4,2,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,2,3,6,1] => [6,4,2,5,8,3,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [7,8,5,2,3,4,6,1] => [6,5,2,3,8,4,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [7,8,4,3,2,5,6,1] => [6,3,4,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [8,7,3,4,2,5,6,1] => [6,4,7,3,2,5,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [6,3,8,2,4,5,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [6,7,2,3,4,5,8,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [7,3,4,5,6,8,2,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [7,4,6,3,8,5,2,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [7,5,4,6,3,8,2,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [7,6,4,5,8,3,2,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [7,6,5,8,4,3,2,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [8,4,3,5,6,2,7,1] => [7,6,4,8,3,5,2,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [7,6,8,3,4,5,2,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [8,5,6,4,2,3,7,1] => [7,4,2,6,8,5,3,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,2,3,7,1] => [7,6,2,5,8,4,3,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [7,6,2,3,4,8,5,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [7,3,4,5,8,2,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [8,4,5,3,2,6,7,1] => [7,3,5,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [7,4,5,3,8,2,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [8,4,3,5,2,6,7,1] => [7,5,4,8,3,2,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [7,5,8,3,4,2,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [8,5,4,2,3,6,7,1] => [7,4,2,5,8,3,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [8,5,2,3,4,6,7,1] => [7,5,2,3,8,4,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [7,4,8,3,2,5,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [7,3,8,2,4,5,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [7,8,2,3,4,5,6,1] => {{1,2,3,4,5,6,7,8}}
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [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}}
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [8,3,5,6,4,7,2,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [7,5,4,6,3,2,8,1] => [8,3,6,5,7,4,2,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [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}}
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [8,3,7,4,5,6,2,1] => {{1,8},{2,3,7},{4},{5},{6}}
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [8,4,6,3,7,5,2,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [8,4,7,3,6,5,2,1] => {{1,8},{2,3,4,7},{5,6}}
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [5,6,7,3,4,2,8,1] => [8,4,7,3,5,6,2,1] => {{1,8},{2,3,4,7},{5},{6}}
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [6,7,4,3,5,2,8,1] => [8,5,4,7,3,6,2,1] => {{1,8},{2,3,4,5,7},{6}}
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [8,6,4,5,7,3,2,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [8,6,5,7,4,3,2,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [7,3,4,5,6,2,8,1] => [8,6,7,3,4,5,2,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [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}}
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [8,7,5,6,4,3,2,1] => {{1,8},{2,7},{3,4,5,6}}
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [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}}
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [8,7,5,3,6,4,2,1] => {{1,8},{2,7},{3,4,5,6}}
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [8,7,6,3,5,4,2,1] => {{1,8},{2,7},{3,4,6},{5}}
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [8,7,4,6,3,5,2,1] => {{1,8},{2,7},{3,4,5,6}}
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [6,3,4,5,7,2,8,1] => [8,7,6,3,4,5,2,1] => {{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}}
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [5,3,4,6,7,2,8,1] => [8,7,5,3,4,6,2,1] => {{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}}
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [8,4,2,5,6,7,3,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [8,4,2,5,7,6,3,1] => {{1,8},{2,3,4,5,7},{6}}
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,2,3,8,1] => [8,4,2,6,7,5,3,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [8,5,2,7,4,6,3,1] => {{1,8},{2,3,4,5,7},{6}}
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,2,3,8,1] => [8,6,2,5,7,4,3,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [7,4,5,6,2,3,8,1] => [8,6,2,7,4,5,3,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,2,3,8,1] => [8,7,2,5,6,4,3,1] => {{1,8},{2,3,7},{4,5,6}}
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [8,7,2,6,4,5,3,1] => {{1,8},{2,3,7},{4,5,6}}
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [8,7,2,4,5,6,3,1] => {{1,8},{2,3,7},{4},{5},{6}}
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [7,5,6,3,2,4,8,1] => [8,3,6,2,7,5,4,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [6,5,7,3,2,4,8,1] => [8,3,7,2,6,5,4,1] => {{1,8},{2,3,4,7},{5,6}}
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [8,5,2,3,6,7,4,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [7,5,6,2,3,4,8,1] => [8,6,2,3,7,5,4,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [8,3,4,7,2,6,5,1] => {{1,8},{2,3,4,5,7},{6}}
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [7,6,4,2,3,5,8,1] => [8,4,2,6,3,7,5,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [8,3,6,2,4,7,5,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [7,4,5,3,2,6,8,1] => [8,3,5,7,4,2,6,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [7,5,3,4,2,6,8,1] => [8,4,5,3,7,2,6,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [7,3,4,5,2,6,8,1] => [8,5,7,3,4,2,6,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [8,4,2,5,7,3,6,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [8,3,5,2,7,4,6,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [7,5,2,3,4,6,8,1] => [8,5,2,3,7,4,6,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [7,4,3,2,5,6,8,1] => [8,3,4,7,2,5,6,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [7,3,4,2,5,6,8,1] => [8,4,7,3,2,5,6,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [7,4,2,3,5,6,8,1] => [8,4,2,7,3,5,6,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [8,3,7,2,4,5,6,1] => {{1,8},{2,3,4,5,6,7}}
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [8,7,2,3,4,5,6,1] => {{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}}
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [6,5,3,4,2,7,8,1] => [8,4,5,3,6,2,7,1] => {{1,8},{2,3,4,5,6},{7}}
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [5,6,3,4,2,7,8,1] => [8,4,6,3,5,2,7,1] => {{1,8},{2,3,4,6},{5},{7}}
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [6,4,3,5,2,7,8,1] => [8,5,4,6,3,2,7,1] => {{1,8},{2,3,4,5,6},{7}}
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [8,5,6,3,4,2,7,1] => {{1,8},{2,3,4,5,6},{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}}
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [5,3,4,6,2,7,8,1] => [8,6,5,3,4,2,7,1] => {{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}}
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [6,5,4,2,3,7,8,1] => [8,4,2,5,6,3,7,1] => {{1,8},{2,3,4,5,6},{7}}
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [5,6,4,2,3,7,8,1] => [8,4,2,6,5,3,7,1] => {{1,8},{2,3,4,6},{5},{7}}
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [5,4,6,2,3,7,8,1] => [8,6,2,5,4,3,7,1] => {{1,8},{2,3,6},{4,5},{7}}
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [4,5,6,2,3,7,8,1] => [8,6,2,4,5,3,7,1] => {{1,8},{2,3,6},{4},{5},{7}}
[.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [6,3,2,4,5,7,8,1] => [8,3,6,2,4,5,7,1] => {{1,8},{2,3,4,5,6},{7}}
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [8,6,2,3,4,5,7,1] => {{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}}
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [8,4,5,3,2,6,7,1] => {{1,8},{2,3,4,5},{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}}
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [5,4,2,3,6,7,8,1] => [8,4,2,5,3,6,7,1] => {{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}}
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [8,4,2,3,5,6,7,1] => {{1,8},{2,3,4},{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}}
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [3,1,4,5,6,8,7,2] => {{1,2,3,4,5,6,8},{7}}
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [3,1,4,5,7,8,6,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [3,1,4,5,8,6,7,2] => {{1,2,3,4,5,8},{6},{7}}
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [3,1,4,6,7,5,8,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [3,1,4,6,8,5,7,2] => {{1,2,3,4,5,6,8},{7}}
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [3,1,4,7,6,8,5,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,3,1,2] => [3,1,4,8,7,6,5,2] => {{1,2,3,4,8},{5,7},{6}}
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [3,1,4,8,6,5,7,2] => {{1,2,3,4,8},{5,6},{7}}
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [3,1,4,8,5,6,7,2] => {{1,2,3,4,8},{5},{6},{7}}
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [3,1,5,6,4,7,8,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [3,1,5,6,4,8,7,2] => {{1,2,3,4,5,6,8},{7}}
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [3,1,5,7,4,8,6,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [3,1,6,5,7,4,8,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,3,1,2] => [3,1,6,8,4,5,7,2] => {{1,2,3,4,5,6,8},{7}}
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,3,1,2] => [3,1,7,6,4,8,5,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,3,1,2] => [3,1,8,7,6,5,4,2] => {{1,2,3,8},{4,7},{5,6}}
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,3,1,2] => [3,1,8,6,4,7,5,2] => {{1,2,3,8},{4,5,6,7}}
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,3,1,2] => [3,1,8,5,7,4,6,2] => {{1,2,3,8},{4,5,6,7}}
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,3,1,2] => [3,1,8,5,4,6,7,2] => {{1,2,3,8},{4,5},{6},{7}}
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [3,1,8,4,5,6,7,2] => {{1,2,3,8},{4},{5},{6},{7}}
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [4,1,5,3,6,7,8,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [4,1,5,3,6,8,7,2] => {{1,2,3,4,5,6,8},{7}}
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [4,1,5,3,8,6,7,2] => {{1,2,3,4,5,8},{6},{7}}
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [4,1,6,3,7,5,8,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [4,1,6,3,8,5,7,2] => {{1,2,3,4,5,6,8},{7}}
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,4,1,2] => [4,1,7,3,6,8,5,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [4,1,7,3,8,5,6,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [4,1,8,3,6,7,5,2] => {{1,2,3,4,8},{5,6,7}}
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [4,1,8,3,7,5,6,2] => {{1,2,3,4,8},{5,6,7}}
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [4,1,8,3,6,5,7,2] => {{1,2,3,4,8},{5,6},{7}}
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [4,1,8,3,5,6,7,2] => {{1,2,3,4,8},{5},{6},{7}}
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,3,5,1,2] => [5,1,4,8,3,7,6,2] => {{1,2,3,4,5,8},{6,7}}
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [5,1,6,3,4,7,8,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [5,1,7,3,4,8,6,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [6,7,8,3,4,5,1,2] => [5,1,8,3,4,6,7,2] => {{1,2,3,4,5,8},{6},{7}}
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [6,1,4,5,8,3,7,2] => {{1,2,3,4,5,6,8},{7}}
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [6,1,5,3,8,4,7,2] => {{1,2,3,4,5,6,8},{7}}
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [6,1,4,8,3,5,7,2] => {{1,2,3,4,5,6,8},{7}}
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [6,1,8,3,4,5,7,2] => {{1,2,3,4,5,6,8},{7}}
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,3,7,1,2] => [7,1,4,5,6,8,3,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,3,7,1,2] => [7,1,6,5,8,4,3,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [8,6,4,3,5,7,1,2] => [7,1,4,6,3,8,5,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [8,5,3,4,6,7,1,2] => [7,1,5,3,8,4,6,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [7,1,4,8,3,5,6,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [7,1,8,3,4,5,6,2] => {{1,2,3,4,5,6,7,8}}
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [8,1,4,5,6,7,3,2] => {{1,2,8},{3,4,5,6,7}}
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,3,8,1,2] => [8,1,4,5,7,6,3,2] => {{1,2,8},{3,4,5,7},{6}}
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [8,1,4,7,6,5,3,2] => {{1,2,8},{3,4,7},{5,6}}
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,3,8,1,2] => [8,1,5,6,4,7,3,2] => {{1,2,8},{3,4,5,6,7}}
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [8,1,5,7,4,6,3,2] => {{1,2,8},{3,4,5,7},{6}}
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [7,4,5,6,3,8,1,2] => [8,1,6,7,4,5,3,2] => {{1,2,8},{3,4,5,6,7}}
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [8,1,7,5,6,4,3,2] => {{1,2,8},{3,7},{4,5,6}}
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [8,1,7,6,5,4,3,2] => {{1,2,8},{3,7},{4,6},{5}}
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [6,4,5,7,3,8,1,2] => [8,1,7,6,4,5,3,2] => {{1,2,8},{3,7},{4,5,6}}
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [7,5,6,3,4,8,1,2] => [8,1,6,3,7,5,4,2] => {{1,2,8},{3,4,5,6,7}}
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [6,5,7,3,4,8,1,2] => [8,1,7,3,6,5,4,2] => {{1,2,8},{3,4,7},{5,6}}
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [5,6,7,3,4,8,1,2] => [8,1,7,3,5,6,4,2] => {{1,2,8},{3,4,7},{5},{6}}
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [7,6,4,3,5,8,1,2] => [8,1,4,6,3,7,5,2] => {{1,2,8},{3,4,5,6,7}}
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [6,7,4,3,5,8,1,2] => [8,1,4,7,3,6,5,2] => {{1,2,8},{3,4,5,7},{6}}
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [7,5,4,3,6,8,1,2] => [8,1,4,5,7,3,6,2] => {{1,2,8},{3,4,5,6,7}}
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [7,5,3,4,6,8,1,2] => [8,1,5,3,7,4,6,2] => {{1,2,8},{3,4,5,6,7}}
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [8,1,7,3,4,5,6,2] => {{1,2,8},{3,4,5,6,7}}
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [8,1,4,5,6,3,7,2] => {{1,2,8},{3,4,5,6},{7}}
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [5,6,4,3,7,8,1,2] => [8,1,4,6,5,3,7,2] => {{1,2,8},{3,4,6},{5},{7}}
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [6,5,3,4,7,8,1,2] => [8,1,5,3,6,4,7,2] => {{1,2,8},{3,4,5,6},{7}}
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [8,1,6,3,5,4,7,2] => {{1,2,8},{3,4,6},{5},{7}}
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [8,1,4,6,3,5,7,2] => {{1,2,8},{3,4,5,6},{7}}
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [8,1,6,3,4,5,7,2] => {{1,2,8},{3,4,5,6},{7}}
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [8,1,4,5,3,6,7,2] => {{1,2,8},{3,4,5},{6},{7}}
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [8,1,5,4,3,6,7,2] => {{1,2,8},{3,5},{4},{6},{7}}
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [8,1,4,3,5,6,7,2] => {{1,2,8},{3,4},{5},{6},{7}}
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [8,1,3,4,5,6,7,2] => {{1,2,8},{3},{4},{5},{6},{7}}
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,3] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [2,4,1,5,8,7,6,3] => {{1,2,3,4,5,8},{6,7}}
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [8,7,5,6,4,2,1,3] => [2,4,1,6,7,5,8,3] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [2,4,1,6,8,5,7,3] => {{1,2,3,4,5,6,8},{7}}
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,2,1,3] => [2,4,1,7,6,8,5,3] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [2,4,1,8,6,7,5,3] => {{1,2,3,4,8},{5,6,7}}
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,2,1,3] => [2,4,1,8,7,6,5,3] => {{1,2,3,4,8},{5,7},{6}}
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [2,4,1,8,5,6,7,3] => {{1,2,3,4,8},{5},{6},{7}}
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [7,6,8,4,5,2,1,3] => [2,5,1,8,4,7,6,3] => {{1,2,3,4,5,8},{6,7}}
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,2,1,3] => [2,5,1,8,4,6,7,3] => {{1,2,3,4,5,8},{6},{7}}
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,2,1,3] => [2,6,1,5,7,4,8,3] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,2,1,3] => [2,6,1,5,8,4,7,3] => {{1,2,3,4,5,6,8},{7}}
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,2,1,3] => [2,6,1,8,4,5,7,3] => {{1,2,3,4,5,6,8},{7}}
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,2,1,3] => [2,7,1,5,8,4,6,3] => {{1,2,3,4,5,6,7,8}}
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [2,8,1,7,6,5,4,3] => {{1,2,3,8},{4,7},{5,6}}
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,2,1,3] => [2,8,1,7,5,6,4,3] => {{1,2,3,8},{4,7},{5},{6}}
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,2,1,3] => [2,8,1,7,4,6,5,3] => {{1,2,3,8},{4,5,7},{6}}
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,2,1,3] => [2,8,1,5,6,4,7,3] => {{1,2,3,8},{4,5,6},{7}}
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,2,1,3] => [2,8,1,5,4,6,7,3] => {{1,2,3,8},{4,5},{6},{7}}
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [2,8,1,4,5,6,7,3] => {{1,2,3,8},{4},{5},{6},{7}}
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,3] => {{1,2,3,4,5,6,7,8}}
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [4,1,2,5,6,8,7,3] => {{1,2,3,4,5,6,8},{7}}
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,1,2,3] => [4,1,2,5,8,7,6,3] => {{1,2,3,4,5,8},{6,7}}
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [4,1,2,5,8,6,7,3] => {{1,2,3,4,5,8},{6},{7}}
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,1,2,3] => [4,1,2,6,8,5,7,3] => {{1,2,3,4,5,6,8},{7}}
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [4,1,2,7,8,5,6,3] => {{1,2,3,4,5,6,7,8}}
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,1,2,3] => [4,1,2,8,7,6,5,3] => {{1,2,3,4,8},{5,7},{6}}
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,1,2,3] => [4,1,2,8,7,5,6,3] => {{1,2,3,4,8},{5,6,7}}
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [4,1,2,8,5,6,7,3] => {{1,2,3,4,8},{5},{6},{7}}
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [7,8,6,4,5,1,2,3] => [5,1,2,6,4,8,7,3] => {{1,2,3,4,5,6,8},{7}}
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,1,2,3] => [6,1,2,5,8,4,7,3] => {{1,2,3,4,5,6,8},{7}}
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [6,1,2,7,4,5,8,3] => {{1,2,3,4,5,6,7,8}}
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [6,1,2,8,4,5,7,3] => {{1,2,3,4,5,6,8},{7}}
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [8,5,6,4,7,1,2,3] => [7,1,2,6,8,5,4,3] => {{1,2,3,4,5,6,7,8}}
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,1,2,3] => [7,1,2,5,8,4,6,3] => {{1,2,3,4,5,6,7,8}}
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [7,1,2,8,4,5,6,3] => {{1,2,3,4,5,6,7,8}}
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [8,1,2,5,6,7,4,3] => {{1,2,3,8},{4,5,6,7}}
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,1,2,3] => [8,1,2,6,7,5,4,3] => {{1,2,3,8},{4,5,6,7}}
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,1,2,3] => [8,1,2,7,6,5,4,3] => {{1,2,3,8},{4,7},{5,6}}
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,1,2,3] => [8,1,2,6,4,7,5,3] => {{1,2,3,8},{4,5,6,7}}
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [8,1,2,7,4,6,5,3] => {{1,2,3,8},{4,5,7},{6}}
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [8,1,2,5,7,4,6,3] => {{1,2,3,8},{4,5,6,7}}
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,1,2,3] => [8,1,2,7,4,5,6,3] => {{1,2,3,8},{4,5,6,7}}
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [6,4,5,7,8,1,2,3] => [8,1,2,6,4,5,7,3] => {{1,2,3,8},{4,5,6},{7}}
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [8,1,2,4,5,6,7,3] => {{1,2,3,8},{4},{5},{6},{7}}
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,4] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,2,1,4] => [2,3,5,1,8,7,6,4] => {{1,2,3,4,5,8},{6,7}}
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [2,3,6,1,7,5,8,4] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [2,3,6,1,8,5,7,4] => {{1,2,3,4,5,6,8},{7}}
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [2,3,7,1,6,8,5,4] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [2,3,7,1,8,5,6,4] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [2,3,8,1,6,7,5,4] => {{1,2,3,4,8},{5,6,7}}
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [2,3,8,1,7,6,5,4] => {{1,2,3,4,8},{5,7},{6}}
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [2,3,8,1,6,5,7,4] => {{1,2,3,4,8},{5,6},{7}}
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [2,3,8,1,5,6,7,4] => {{1,2,3,4,8},{5},{6},{7}}
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [3,5,2,1,6,7,8,4] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,3,1,4] => [3,5,2,1,6,8,7,4] => {{1,2,3,4,5,6,8},{7}}
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [3,5,2,1,7,8,6,4] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,3,1,4] => [3,5,2,1,8,7,6,4] => {{1,2,3,4,5,8},{6,7}}
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,3,1,4] => [3,6,2,1,7,5,8,4] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [3,8,2,1,6,7,5,4] => {{1,2,3,4,8},{5,6,7}}
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [3,8,2,1,7,6,5,4] => {{1,2,3,4,8},{5,7},{6}}
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [3,8,2,1,7,5,6,4] => {{1,2,3,4,8},{5,6,7}}
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [3,8,2,1,5,6,7,4] => {{1,2,3,4,8},{5},{6},{7}}
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [3,1,5,2,6,7,8,4] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,1,2,4] => [3,1,5,2,8,7,6,4] => {{1,2,3,4,5,8},{6,7}}
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,1,2,4] => [3,1,5,2,8,6,7,4] => {{1,2,3,4,5,8},{6},{7}}
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [3,1,6,2,7,5,8,4] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [3,1,6,2,8,5,7,4] => {{1,2,3,4,5,6,8},{7}}
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,1,2,4] => [3,1,7,2,8,5,6,4] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,1,2,4] => [3,1,8,2,6,7,5,4] => {{1,2,3,4,8},{5,6,7}}
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [3,1,8,2,7,6,5,4] => {{1,2,3,4,8},{5,7},{6}}
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [3,1,8,2,7,5,6,4] => {{1,2,3,4,8},{5,6,7}}
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [3,1,8,2,6,5,7,4] => {{1,2,3,4,8},{5,6},{7}}
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [3,1,8,2,5,6,7,4] => {{1,2,3,4,8},{5},{6},{7}}
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [2,5,1,3,6,7,8,4] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [2,5,1,3,6,8,7,4] => {{1,2,3,4,5,6,8},{7}}
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,1,3,4] => [2,5,1,3,7,8,6,4] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [2,5,1,3,8,6,7,4] => {{1,2,3,4,5,8},{6},{7}}
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [2,6,1,3,8,5,7,4] => {{1,2,3,4,5,6,8},{7}}
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,1,3,4] => [2,7,1,3,6,8,5,4] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,1,3,4] => [2,8,1,3,6,7,5,4] => {{1,2,3,4,8},{5,6,7}}
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [2,8,1,3,7,6,5,4] => {{1,2,3,4,8},{5,7},{6}}
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [7,5,6,8,2,1,3,4] => [2,8,1,3,7,5,6,4] => {{1,2,3,4,8},{5,6,7}}
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [2,8,1,3,6,5,7,4] => {{1,2,3,4,8},{5,6},{7}}
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [2,8,1,3,5,6,7,4] => {{1,2,3,4,8},{5},{6},{7}}
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,4] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [5,1,2,3,6,8,7,4] => {{1,2,3,4,5,6,8},{7}}
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [5,1,2,3,7,8,6,4] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [5,1,2,3,8,7,6,4] => {{1,2,3,4,5,8},{6,7}}
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [5,1,2,3,8,6,7,4] => {{1,2,3,4,5,8},{6},{7}}
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [6,1,2,3,7,5,8,4] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [6,1,2,3,8,5,7,4] => {{1,2,3,4,5,6,8},{7}}
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [7,1,2,3,6,8,5,4] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [7,1,2,3,8,5,6,4] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [8,1,2,3,6,7,5,4] => {{1,2,3,4,8},{5,6,7}}
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [8,1,2,3,7,6,5,4] => {{1,2,3,4,8},{5,7},{6}}
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [8,1,2,3,7,5,6,4] => {{1,2,3,4,8},{5,6,7}}
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [8,1,2,3,6,5,7,4] => {{1,2,3,4,8},{5,6},{7}}
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [8,1,2,3,5,6,7,4] => {{1,2,3,4,8},{5},{6},{7}}
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,5] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [2,3,4,6,1,8,7,5] => {{1,2,3,4,5,6,8},{7}}
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [2,3,4,8,1,7,6,5] => {{1,2,3,4,5,8},{6,7}}
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [2,3,4,8,1,6,7,5] => {{1,2,3,4,5,8},{6},{7}}
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,2,3,1,5] => [3,4,2,8,1,7,6,5] => {{1,2,3,4,5,8},{6,7}}
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [3,4,2,8,1,6,7,5] => {{1,2,3,4,5,8},{6},{7}}
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [8,6,7,3,2,4,1,5] => [4,3,7,2,1,8,6,5] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [6,7,8,3,2,4,1,5] => [4,3,8,2,1,6,7,5] => {{1,2,3,4,5,8},{6},{7}}
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [3,1,4,6,2,7,8,5] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [7,8,6,4,3,1,2,5] => [3,1,4,6,2,8,7,5] => {{1,2,3,4,5,6,8},{7}}
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [3,1,4,8,2,6,7,5] => {{1,2,3,4,5,8},{6},{7}}
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [4,1,6,3,2,7,8,5] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [4,1,7,3,2,8,6,5] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [7,6,8,3,4,1,2,5] => [4,1,8,3,2,7,6,5] => {{1,2,3,4,5,8},{6,7}}
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [4,1,8,3,2,6,7,5] => {{1,2,3,4,5,8},{6},{7}}
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [2,4,1,6,3,7,8,5] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [2,4,1,7,3,8,6,5] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [4,1,2,6,3,7,8,5] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [4,1,2,6,3,8,7,5] => {{1,2,3,4,5,6,8},{7}}
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,1,2,3,5] => [4,1,2,7,3,8,6,5] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [4,1,2,8,3,6,7,5] => {{1,2,3,4,5,8},{6},{7}}
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [2,3,6,1,4,7,8,5] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [7,8,6,3,2,1,4,5] => [2,3,6,1,4,8,7,5] => {{1,2,3,4,5,6,8},{7}}
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [8,6,7,3,2,1,4,5] => [2,3,7,1,4,8,6,5] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [2,3,8,1,4,6,7,5] => {{1,2,3,4,5,8},{6},{7}}
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [3,6,2,1,4,7,8,5] => {{1,2,3,4,5,6,7,8}}
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [7,8,6,2,3,1,4,5] => [3,6,2,1,4,8,7,5] => {{1,2,3,4,5,6,8},{7}}
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [8,6,7,2,3,1,4,5] => [3,7,2,1,4,8,6,5] => {{1,2,3,4,5,6,7,8}}
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [3,8,2,1,4,6,7,5] => {{1,2,3,4,5,8},{6},{7}}
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [3,1,6,2,4,7,8,5] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [7,8,6,3,1,2,4,5] => [3,1,6,2,4,8,7,5] => {{1,2,3,4,5,6,8},{7}}
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [7,6,8,3,1,2,4,5] => [3,1,8,2,4,7,6,5] => {{1,2,3,4,5,8},{6,7}}
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [2,6,1,3,4,7,8,5] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [2,7,1,3,4,8,6,5] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [2,8,1,3,4,6,7,5] => {{1,2,3,4,5,8},{6},{7}}
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,5] => {{1,2,3,4,5,6,7,8}}
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [6,1,2,3,4,8,7,5] => {{1,2,3,4,5,6,8},{7}}
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [7,1,2,3,4,8,6,5] => {{1,2,3,4,5,6,7,8}}
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [8,1,2,3,4,7,6,5] => {{1,2,3,4,5,8},{6,7}}
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [8,1,2,3,4,6,7,5] => {{1,2,3,4,5,8},{6},{7}}
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,6] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [2,3,4,5,8,1,7,6] => {{1,2,3,4,5,6,8},{7}}
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [2,4,5,3,7,1,8,6] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [8,7,4,3,5,2,1,6] => [2,5,4,7,3,1,8,6] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [7,8,4,3,5,2,1,6] => [2,5,4,8,3,1,7,6] => {{1,2,3,4,5,6,8},{7}}
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [3,5,2,7,4,1,8,6] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [4,3,5,2,7,1,8,6] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [7,8,5,3,2,4,1,6] => [4,3,5,2,8,1,7,6] => {{1,2,3,4,5,6,8},{7}}
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [8,7,5,2,3,4,1,6] => [4,5,2,3,7,1,8,6] => {{1,2,3,4,5,6,7,8}}
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [7,8,5,2,3,4,1,6] => [4,5,2,3,8,1,7,6] => {{1,2,3,4,5,6,8},{7}}
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [5,4,8,3,2,1,7,6] => {{1,2,3,4,5,6,8},{7}}
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [8,7,4,2,3,5,1,6] => [5,4,2,7,3,1,8,6] => {{1,2,3,4,5,6,7,8}}
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [7,8,4,2,3,5,1,6] => [5,4,2,8,3,1,7,6] => {{1,2,3,4,5,6,8},{7}}
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [7,8,3,2,4,5,1,6] => [5,3,8,2,4,1,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [3,1,4,5,7,2,8,6] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [8,7,5,3,4,1,2,6] => [4,1,5,3,7,2,8,6] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [7,8,5,3,4,1,2,6] => [4,1,5,3,8,2,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [8,7,4,3,5,1,2,6] => [5,1,4,7,3,2,8,6] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [7,8,4,3,5,1,2,6] => [5,1,4,8,3,2,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [5,1,7,3,4,2,8,6] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [7,8,3,4,5,1,2,6] => [5,1,8,3,4,2,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,2,1,3,6] => [2,4,1,5,7,3,8,6] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [2,4,1,5,8,3,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [7,8,4,5,2,1,3,6] => [2,5,1,8,4,3,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,1,2,3,6] => [4,1,2,5,7,3,8,6] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [4,1,2,5,8,3,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [5,1,2,8,4,3,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [2,3,5,1,7,4,8,6] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [7,8,5,3,2,1,4,6] => [2,3,5,1,8,4,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [8,7,5,2,3,1,4,6] => [3,5,2,1,7,4,8,6] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [3,1,5,2,7,4,8,6] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [7,8,5,3,1,2,4,6] => [3,1,5,2,8,4,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [2,5,1,3,7,4,8,6] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [2,5,1,3,8,4,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [5,1,2,3,7,4,8,6] => {{1,2,3,4,5,6,7,8}}
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [5,1,2,3,8,4,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [2,3,4,7,1,5,8,6] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [2,3,4,8,1,5,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [8,7,3,4,2,1,5,6] => [2,4,7,3,1,5,8,6] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [7,8,3,4,2,1,5,6] => [2,4,8,3,1,5,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [8,7,3,2,4,1,5,6] => [4,3,7,2,1,5,8,6] => {{1,2,3,4,5,6,7,8}}
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [4,3,8,2,1,5,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [4,8,2,3,1,5,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [8,7,4,3,1,2,5,6] => [3,1,4,7,2,5,8,6] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [7,8,4,3,1,2,5,6] => [3,1,4,8,2,5,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [8,7,3,4,1,2,5,6] => [4,1,7,3,2,5,8,6] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [2,4,1,7,3,5,8,6] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [2,4,1,8,3,5,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [4,1,2,7,3,5,8,6] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [2,3,7,1,4,5,8,6] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [2,3,8,1,4,5,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [8,7,2,3,1,4,5,6] => [3,7,2,1,4,5,8,6] => {{1,2,3,4,5,6,7,8}}
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [3,8,2,1,4,5,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [7,8,3,1,2,4,5,6] => [3,1,8,2,4,5,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [2,7,1,3,4,5,8,6] => {{1,2,3,4,5,6,7,8}}
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [2,8,1,3,4,5,7,6] => {{1,2,3,4,5,6,8},{7}}
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,6] => {{1,2,3,4,5,6,7,8}}
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [8,1,2,3,4,5,7,6] => {{1,2,3,4,5,6,8},{7}}
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [2,3,4,6,8,5,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [8,5,4,6,3,2,1,7] => [2,3,6,5,8,4,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [2,3,6,8,4,5,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [2,4,5,3,6,8,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [8,5,6,3,4,2,1,7] => [2,4,6,3,8,5,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [8,5,4,3,6,2,1,7] => [2,6,4,5,8,3,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [3,4,2,5,6,8,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,2,3,1,7] => [3,5,2,6,4,8,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [8,4,5,6,2,3,1,7] => [3,6,2,8,4,5,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [4,3,5,2,6,8,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [8,6,4,3,2,5,1,7] => [5,3,4,6,2,8,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [5,3,6,2,4,8,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [6,3,4,5,8,2,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [8,4,5,3,2,6,1,7] => [6,3,5,8,4,2,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [8,5,3,4,2,6,1,7] => [6,4,5,3,8,2,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [6,5,4,8,3,2,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [8,3,4,5,2,6,1,7] => [6,5,8,3,4,2,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [6,5,2,8,4,3,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [8,4,2,3,5,6,1,7] => [6,4,2,8,3,5,1,7] => {{1,2,3,4,5,6,7,8}}
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [6,3,8,2,4,5,1,7] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [3,1,4,5,6,8,2,7] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [4,1,5,3,6,8,2,7] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [4,1,6,3,8,5,2,7] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [8,6,3,4,5,1,2,7] => [5,1,6,3,4,8,2,7] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [8,5,4,3,6,1,2,7] => [6,1,4,5,8,3,2,7] => {{1,2,3,4,5,6,7,8}}
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [6,1,8,3,4,5,2,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [2,4,1,5,6,8,3,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,2,1,3,7] => [2,4,1,6,8,5,3,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,2,1,3,7] => [2,5,1,6,4,8,3,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [8,4,5,6,2,1,3,7] => [2,6,1,8,4,5,3,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [4,1,2,5,6,8,3,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [4,1,2,6,8,5,3,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [5,1,2,6,4,8,3,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [2,3,5,1,6,8,4,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [8,5,6,3,2,1,4,7] => [2,3,6,1,8,5,4,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [3,5,2,1,6,8,4,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [3,6,2,1,8,5,4,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [8,6,5,3,1,2,4,7] => [3,1,5,2,6,8,4,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [2,5,1,3,6,8,4,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [2,6,1,3,8,5,4,7] => {{1,2,3,4,5,6,7,8}}
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [5,1,2,3,6,8,4,7] => {{1,2,3,4,5,6,7,8}}
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [6,1,2,3,8,5,4,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [2,3,4,6,1,8,5,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [2,4,6,3,1,8,5,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,2,1,8,5,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [8,6,4,3,1,2,5,7] => [3,1,4,6,2,8,5,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [2,4,1,6,3,8,5,7] => {{1,2,3,4,5,6,7,8}}
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [4,1,2,6,3,8,5,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [8,6,3,2,1,4,5,7] => [2,3,6,1,4,8,5,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [8,6,2,3,1,4,5,7] => [3,6,2,1,4,8,5,7] => {{1,2,3,4,5,6,7,8}}
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [6,1,2,3,4,8,5,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [2,3,4,5,8,1,6,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [8,4,3,5,2,1,6,7] => [2,5,4,8,3,1,6,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [2,5,8,3,4,1,6,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [8,5,3,2,4,1,6,7] => [4,3,5,2,8,1,6,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [4,5,2,3,8,1,6,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [8,4,2,3,5,1,6,7] => [5,4,2,8,3,1,6,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [8,3,2,4,5,1,6,7] => [5,3,8,2,4,1,6,7] => {{1,2,3,4,5,6,7,8}}
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [5,8,2,3,4,1,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [8,5,4,3,1,2,6,7] => [3,1,4,5,8,2,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [8,5,3,4,1,2,6,7] => [4,1,5,3,8,2,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [8,4,3,5,1,2,6,7] => [5,1,4,8,3,2,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [8,5,4,2,1,3,6,7] => [2,4,1,5,8,3,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [4,1,2,5,8,3,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [8,5,3,2,1,4,6,7] => [2,3,5,1,8,4,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [3,1,5,2,8,4,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [2,5,1,3,8,4,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [5,1,2,3,8,4,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [2,3,4,8,1,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [2,4,8,3,1,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [3,4,2,8,1,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [8,3,2,4,1,5,6,7] => [4,3,8,2,1,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [4,8,2,3,1,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [8,4,3,1,2,5,6,7] => [3,1,4,8,2,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [4,1,8,3,2,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [2,4,1,8,3,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [4,1,2,8,3,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [2,3,8,1,4,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [3,8,2,1,4,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,1,8,2,4,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [2,8,1,3,4,5,6,7] => {{1,2,3,4,5,6,7,8}}
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => {{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}}
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [2,3,4,6,7,5,1,8] => {{1,2,3,4,5,6,7},{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}}
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [7,5,4,6,3,2,1,8] => [2,3,6,5,7,4,1,8] => {{1,2,3,4,5,6,7},{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}}
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [2,4,6,3,7,5,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [2,4,7,3,5,6,1,8] => {{1,2,3,4,7},{5},{6},{8}}
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [2,5,4,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [6,7,4,3,5,2,1,8] => [2,5,4,7,3,6,1,8] => {{1,2,3,4,5,7},{6},{8}}
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [2,6,4,5,7,3,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [7,4,3,5,6,2,1,8] => [2,6,4,7,3,5,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [7,3,4,5,6,2,1,8] => [2,6,7,3,4,5,1,8] => {{1,2,3,4,5,6,7},{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}}
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [6,5,3,4,7,2,1,8] => [2,7,5,3,6,4,1,8] => {{1,2,7},{3,4,5,6},{8}}
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [5,6,3,4,7,2,1,8] => [2,7,6,3,5,4,1,8] => {{1,2,7},{3,4,6},{5},{8}}
[[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [6,3,4,5,7,2,1,8] => [2,7,6,3,4,5,1,8] => {{1,2,7},{3,4,5,6},{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}}
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [3,4,2,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [3,4,2,5,7,6,1,8] => {{1,2,3,4,5,7},{6},{8}}
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [3,4,2,6,7,5,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [3,4,2,7,5,6,1,8] => {{1,2,3,4,7},{5},{6},{8}}
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [3,5,2,6,4,7,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [3,5,2,7,4,6,1,8] => {{1,2,3,4,5,7},{6},{8}}
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [6,5,4,7,2,3,1,8] => [3,7,2,5,6,4,1,8] => {{1,2,3,7},{4,5,6},{8}}
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [3,7,2,6,5,4,1,8] => {{1,2,3,7},{4,6},{5},{8}}
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [5,4,6,7,2,3,1,8] => [3,7,2,5,4,6,1,8] => {{1,2,3,7},{4,5},{6},{8}}
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [7,5,6,3,2,4,1,8] => [4,3,6,2,7,5,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [4,3,7,2,6,5,1,8] => {{1,2,3,4,7},{5,6},{8}}
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [4,3,7,2,5,6,1,8] => {{1,2,3,4,7},{5},{6},{8}}
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [4,5,2,3,6,7,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [4,5,2,3,7,6,1,8] => {{1,2,3,4,5,7},{6},{8}}
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [4,6,2,3,7,5,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [4,7,2,3,6,5,1,8] => {{1,2,3,4,7},{5,6},{8}}
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [4,7,2,3,5,6,1,8] => {{1,2,3,4,7},{5},{6},{8}}
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [7,6,4,3,2,5,1,8] => [5,3,4,6,2,7,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [6,7,4,3,2,5,1,8] => [5,3,4,7,2,6,1,8] => {{1,2,3,4,5,7},{6},{8}}
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [5,4,2,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [6,7,4,2,3,5,1,8] => [5,4,2,7,3,6,1,8] => {{1,2,3,4,5,7},{6},{8}}
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [5,3,6,2,4,7,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [6,7,3,2,4,5,1,8] => [5,3,7,2,4,6,1,8] => {{1,2,3,4,5,7},{6},{8}}
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [7,4,3,5,2,6,1,8] => [6,5,4,7,3,2,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [7,3,4,5,2,6,1,8] => [6,5,7,3,4,2,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [7,5,4,2,3,6,1,8] => [6,4,2,5,7,3,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [6,3,5,2,7,4,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [7,4,2,3,5,6,1,8] => [6,4,2,7,3,5,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [7,3,2,4,5,6,1,8] => [6,3,7,2,4,5,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [6,7,2,3,4,5,1,8] => {{1,2,3,4,5,6,7},{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}}
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [7,4,6,3,5,2,1,8] => {{1,7},{2,3,4,6},{5},{8}}
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [6,4,3,5,2,7,1,8] => [7,5,4,6,3,2,1,8] => {{1,7},{2,3,4,5,6},{8}}
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [7,5,6,3,4,2,1,8] => {{1,7},{2,3,4,5,6},{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}}
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [7,6,5,3,4,2,1,8] => {{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}}
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [6,5,4,2,3,7,1,8] => [7,4,2,5,6,3,1,8] => {{1,7},{2,3,4,5,6},{8}}
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [6,4,5,2,3,7,1,8] => [7,5,2,6,4,3,1,8] => {{1,7},{2,3,4,5,6},{8}}
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [5,4,6,2,3,7,1,8] => [7,6,2,5,4,3,1,8] => {{1,7},{2,3,6},{4,5},{8}}
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [4,5,6,2,3,7,1,8] => [7,6,2,4,5,3,1,8] => {{1,7},{2,3,6},{4},{5},{8}}
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [7,3,5,2,6,4,1,8] => {{1,7},{2,3,4,5,6},{8}}
[[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [5,6,3,2,4,7,1,8] => [7,3,6,2,5,4,1,8] => {{1,7},{2,3,4,6},{5},{8}}
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [5,6,2,3,4,7,1,8] => [7,6,2,3,5,4,1,8] => {{1,7},{2,3,4,6},{5},{8}}
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [7,4,2,6,3,5,1,8] => {{1,7},{2,3,4,5,6},{8}}
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [6,2,3,4,5,7,1,8] => [7,6,2,3,4,5,1,8] => {{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}}
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [5,3,4,2,6,7,1,8] => [7,4,5,3,2,6,1,8] => {{1,7},{2,3,4,5},{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}}
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [5,4,2,3,6,7,1,8] => [7,4,2,5,3,6,1,8] => {{1,7},{2,3,4,5},{6},{8}}
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [5,3,2,4,6,7,1,8] => [7,3,5,2,4,6,1,8] => {{1,7},{2,3,4,5},{6},{8}}
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [4,2,3,5,6,7,1,8] => [7,4,2,3,5,6,1,8] => {{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}}
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [3,1,4,5,6,7,2,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [3,1,4,5,7,6,2,8] => {{1,2,3,4,5,7},{6},{8}}
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [6,5,7,4,3,1,2,8] => [3,1,4,7,6,5,2,8] => {{1,2,3,4,7},{5,6},{8}}
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [5,6,7,4,3,1,2,8] => [3,1,4,7,5,6,2,8] => {{1,2,3,4,7},{5},{6},{8}}
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [3,1,7,4,5,6,2,8] => {{1,2,3,7},{4},{5},{6},{8}}
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [7,5,6,3,4,1,2,8] => [4,1,6,3,7,5,2,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [6,5,7,3,4,1,2,8] => [4,1,7,3,6,5,2,8] => {{1,2,3,4,7},{5,6},{8}}
[[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [6,7,4,3,5,1,2,8] => [5,1,4,7,3,6,2,8] => {{1,2,3,4,5,7},{6},{8}}
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [7,4,5,3,6,1,2,8] => [6,1,5,7,4,3,2,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [5,6,4,3,7,1,2,8] => [7,1,4,6,5,3,2,8] => {{1,2,7},{3,4,6},{5},{8}}
[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [6,4,5,3,7,1,2,8] => [7,1,5,6,4,3,2,8] => {{1,2,7},{3,4,5,6},{8}}
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [5,4,6,3,7,1,2,8] => [7,1,6,5,4,3,2,8] => {{1,2,7},{3,6},{4,5},{8}}
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [6,5,3,4,7,1,2,8] => [7,1,5,3,6,4,2,8] => {{1,2,7},{3,4,5,6},{8}}
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [7,1,6,3,5,4,2,8] => {{1,2,7},{3,4,6},{5},{8}}
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [7,1,3,4,5,6,2,8] => {{1,2,7},{3},{4},{5},{6},{8}}
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [2,4,1,5,6,7,3,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [5,6,7,4,2,1,3,8] => [2,4,1,7,5,6,3,8] => {{1,2,3,4,7},{5},{6},{8}}
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,2,1,3,8] => [2,5,1,6,4,7,3,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [2,6,1,5,7,4,3,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [6,5,4,7,2,1,3,8] => [2,7,1,5,6,4,3,8] => {{1,2,3,7},{4,5,6},{8}}
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [4,1,2,5,6,7,3,8] => {{1,2,3,4,5,6,7},{8}}
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [6,7,5,4,1,2,3,8] => [4,1,2,5,7,6,3,8] => {{1,2,3,4,5,7},{6},{8}}
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [7,5,6,4,1,2,3,8] => [4,1,2,6,7,5,3,8] => {{1,2,3,4,5,6,7},{8}}
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [4,1,2,7,5,6,3,8] => {{1,2,3,4,7},{5},{6},{8}}
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [7,1,2,6,5,4,3,8] => {{1,2,3,7},{4,6},{5},{8}}
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [6,4,5,7,1,2,3,8] => [7,1,2,6,4,5,3,8] => {{1,2,3,7},{4,5,6},{8}}
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [7,1,2,5,4,6,3,8] => {{1,2,3,7},{4,5},{6},{8}}
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [7,1,2,4,5,6,3,8] => {{1,2,3,7},{4},{5},{6},{8}}
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [5,6,7,3,2,1,4,8] => [2,3,7,1,5,6,4,8] => {{1,2,3,4,7},{5},{6},{8}}
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [7,5,6,2,3,1,4,8] => [3,6,2,1,7,5,4,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [3,7,2,1,5,6,4,8] => {{1,2,3,4,7},{5},{6},{8}}
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [3,1,7,2,5,6,4,8] => {{1,2,3,4,7},{5},{6},{8}}
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [6,7,5,2,1,3,4,8] => [2,5,1,3,7,6,4,8] => {{1,2,3,4,5,7},{6},{8}}
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [7,5,6,2,1,3,4,8] => [2,6,1,3,7,5,4,8] => {{1,2,3,4,5,6,7},{8}}
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [2,7,1,3,5,6,4,8] => {{1,2,3,4,7},{5},{6},{8}}
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [5,1,2,3,6,7,4,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [5,1,2,3,7,6,4,8] => {{1,2,3,4,5,7},{6},{8}}
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [6,1,2,3,7,5,4,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [7,1,2,3,6,5,4,8] => {{1,2,3,4,7},{5,6},{8}}
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [7,1,2,3,5,6,4,8] => {{1,2,3,4,7},{5},{6},{8}}
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [7,6,4,3,2,1,5,8] => [2,3,4,6,1,7,5,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [6,7,4,3,2,1,5,8] => [2,3,4,7,1,6,5,8] => {{1,2,3,4,5,7},{6},{8}}
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [7,6,4,2,3,1,5,8] => [3,4,2,6,1,7,5,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [7,6,3,2,4,1,5,8] => [4,3,6,2,1,7,5,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [6,7,3,2,4,1,5,8] => [4,3,7,2,1,6,5,8] => {{1,2,3,4,5,7},{6},{8}}
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [7,6,2,3,4,1,5,8] => [4,6,2,3,1,7,5,8] => {{1,2,3,4,5,6,7},{8}}
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [7,6,3,4,1,2,5,8] => [4,1,6,3,2,7,5,8] => {{1,2,3,4,5,6,7},{8}}
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [6,7,3,4,1,2,5,8] => [4,1,7,3,2,6,5,8] => {{1,2,3,4,5,7},{6},{8}}
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [2,4,1,6,3,7,5,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [7,6,4,1,2,3,5,8] => [4,1,2,6,3,7,5,8] => {{1,2,3,4,5,6,7},{8}}
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [2,3,6,1,4,7,5,8] => {{1,2,3,4,5,6,7},{8}}
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [7,6,2,3,1,4,5,8] => [3,6,2,1,4,7,5,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [7,6,3,1,2,4,5,8] => [3,1,6,2,4,7,5,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [6,1,2,3,4,7,5,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [7,1,2,3,4,6,5,8] => {{1,2,3,4,5,7},{6},{8}}
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [2,3,4,5,7,1,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [7,3,4,5,2,1,6,8] => [2,5,7,3,4,1,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [7,4,5,2,3,1,6,8] => [3,5,2,7,4,1,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [4,3,5,2,7,1,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [7,5,2,3,4,1,6,8] => [4,5,2,3,7,1,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [7,4,3,2,5,1,6,8] => [5,3,4,7,2,1,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [7,4,2,3,5,1,6,8] => [5,4,2,7,3,1,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [7,3,2,4,5,1,6,8] => [5,3,7,2,4,1,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [5,7,2,3,4,1,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [7,4,5,2,1,3,6,8] => [2,5,1,7,4,3,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [7,5,4,1,2,3,6,8] => [4,1,2,5,7,3,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [7,5,2,3,1,4,6,8] => [3,5,2,1,7,4,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [3,1,5,2,7,4,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [7,5,2,1,3,4,6,8] => [2,5,1,3,7,4,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [2,3,4,7,1,5,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [7,4,2,3,1,5,6,8] => [3,4,2,7,1,5,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [7,3,2,4,1,5,6,8] => [4,3,7,2,1,5,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [7,3,4,1,2,5,6,8] => [4,1,7,3,2,5,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [4,1,2,7,3,5,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [2,3,7,1,4,5,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [3,1,7,2,4,5,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [2,7,1,3,4,5,6,8] => {{1,2,3,4,5,6,7},{8}}
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,6,8] => {{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}}
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [6,4,5,3,2,1,7,8] => [2,3,5,6,4,1,7,8] => {{1,2,3,4,5,6},{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}}
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [2,6,4,5,3,1,7,8] => {{1,2,6},{3,4,5},{7},{8}}
[[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [5,3,4,6,2,1,7,8] => [2,6,5,3,4,1,7,8] => {{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}}
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [6,5,4,2,3,1,7,8] => [3,4,2,5,6,1,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [5,4,6,2,3,1,7,8] => [3,6,2,5,4,1,7,8] => {{1,2,3,6},{4,5},{7},{8}}
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [6,5,3,2,4,1,7,8] => [4,3,5,2,6,1,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [5,6,3,2,4,1,7,8] => [4,3,6,2,5,1,7,8] => {{1,2,3,4,6},{5},{7},{8}}
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [6,3,4,2,5,1,7,8] => [5,4,6,3,2,1,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [6,4,2,3,5,1,7,8] => [5,4,2,6,3,1,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [6,3,2,4,5,1,7,8] => [5,3,6,2,4,1,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [6,2,3,4,5,1,7,8] => [5,6,2,3,4,1,7,8] => {{1,2,3,4,5,6},{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}}
[[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [5,4,2,3,6,1,7,8] => [6,4,2,5,3,1,7,8] => {{1,6},{2,3,4,5},{7},{8}}
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [5,3,2,4,6,1,7,8] => [6,3,5,2,4,1,7,8] => {{1,6},{2,3,4,5},{7},{8}}
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [6,5,2,3,4,1,7,8] => {{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}}
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [3,1,4,6,5,2,7,8] => {{1,2,3,4,6},{5},{7},{8}}
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [6,4,5,3,1,2,7,8] => [3,1,5,6,4,2,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [3,1,6,5,4,2,7,8] => {{1,2,3,6},{4,5},{7},{8}}
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [4,1,6,3,5,2,7,8] => {{1,2,3,4,6},{5},{7},{8}}
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [6,3,4,5,1,2,7,8] => [5,1,6,3,4,2,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [6,1,4,5,3,2,7,8] => {{1,2,6},{3,4,5},{7},{8}}
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [6,1,3,4,5,2,7,8] => {{1,2,6},{3},{4},{5},{7},{8}}
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [6,5,4,2,1,3,7,8] => [2,4,1,5,6,3,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [2,4,1,6,5,3,7,8] => {{1,2,3,4,6},{5},{7},{8}}
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [6,4,5,2,1,3,7,8] => [2,5,1,6,4,3,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [5,4,6,2,1,3,7,8] => [2,6,1,5,4,3,7,8] => {{1,2,3,6},{4,5},{7},{8}}
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [4,5,6,2,1,3,7,8] => [2,6,1,4,5,3,7,8] => {{1,2,3,6},{4},{5},{7},{8}}
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [4,1,2,5,6,3,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [5,6,4,1,2,3,7,8] => [4,1,2,6,5,3,7,8] => {{1,2,3,4,6},{5},{7},{8}}
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [6,5,3,2,1,4,7,8] => [2,3,5,1,6,4,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [2,3,6,1,5,4,7,8] => {{1,2,3,4,6},{5},{7},{8}}
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [6,5,2,3,1,4,7,8] => [3,5,2,1,6,4,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [5,6,2,3,1,4,7,8] => [3,6,2,1,5,4,7,8] => {{1,2,3,4,6},{5},{7},{8}}
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [5,6,3,1,2,4,7,8] => [3,1,6,2,5,4,7,8] => {{1,2,3,4,6},{5},{7},{8}}
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [6,5,2,1,3,4,7,8] => [2,5,1,3,6,4,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [5,6,2,1,3,4,7,8] => [2,6,1,3,5,4,7,8] => {{1,2,3,4,6},{5},{7},{8}}
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [6,5,1,2,3,4,7,8] => [5,1,2,3,6,4,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [5,6,1,2,3,4,7,8] => [6,1,2,3,5,4,7,8] => {{1,2,3,4,6},{5},{7},{8}}
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [2,3,4,6,1,5,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [6,2,3,4,1,5,7,8] => [4,6,2,3,1,5,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[[.,.],[[.,.],.]],[.,.]],.],.] => [6,3,4,1,2,5,7,8] => [4,1,6,3,2,5,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [2,4,1,6,3,5,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [2,3,6,1,4,5,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [3,1,6,2,4,5,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [6,2,1,3,4,5,7,8] => [2,6,1,3,4,5,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [6,1,2,3,4,5,7,8] => {{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}}
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [2,4,5,3,1,6,7,8] => {{1,2,3,4,5},{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}}
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [3,4,2,5,1,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [3,5,2,4,1,6,7,8] => {{1,2,3,5},{4},{6},{7},{8}}
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [4,3,5,2,1,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [4,5,2,3,1,6,7,8] => {{1,2,3,4,5},{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}}
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [5,4,2,3,1,6,7,8] => {{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}}
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [3,1,4,5,2,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [4,3,5,1,2,6,7,8] => [5,1,4,3,2,6,7,8] => {{1,2,5},{3,4},{6},{7},{8}}
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [5,1,3,4,2,6,7,8] => {{1,2,5},{3},{4},{6},{7},{8}}
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [2,4,1,5,3,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [4,1,2,5,3,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [5,1,2,4,3,6,7,8] => {{1,2,3,5},{4},{6},{7},{8}}
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [2,3,5,1,4,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [3,5,2,1,4,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [2,5,1,3,4,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [5,1,2,3,4,6,7,8] => {{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}}
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [3,4,2,1,5,6,7,8] => {{1,2,3,4},{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}}
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [3,1,4,2,5,6,7,8] => {{1,2,3,4},{5},{6},{7},{8}}
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [4,1,3,2,5,6,7,8] => {{1,2,4},{3},{5},{6},{7},{8}}
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [2,4,1,3,5,6,7,8] => {{1,2,3,4},{5},{6},{7},{8}}
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [4,1,2,3,5,6,7,8] => {{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}}
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => {{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}}
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [9,7,8,6,5,4,3,2,1] => [2,3,4,5,6,8,9,7,1] => {{1,2,3,4,5,6,7,8,9}}
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [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}}
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [8,9,6,7,5,4,3,2,1] => [2,3,4,5,7,9,6,8,1] => {{1,2,3,4,5,6,7,9},{8}}
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [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}}
[.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [7,8,9,5,6,4,3,2,1] => [2,3,4,6,9,5,7,8,1] => {{1,2,3,4,5,6,9},{7},{8}}
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [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}}
[.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [6,7,8,9,4,5,3,2,1] => [2,3,5,9,4,6,7,8,1] => {{1,2,3,4,5,9},{6},{7},{8}}
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [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}}
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [5,6,7,8,9,3,4,2,1] => [2,4,9,3,5,6,7,8,1] => {{1,2,3,4,9},{5},{6},{7},{8}}
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [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}}
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [4,5,6,7,8,9,2,3,1] => [3,9,2,4,5,6,7,8,1] => {{1,2,3,9},{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}}
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,1,2] => [9,1,3,4,5,6,7,8,2] => {{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}}
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [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}}
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [3,1,4,5,6,7,8,2,9] => {{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}}
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [6,7,5,8,4,9,3,10,1,2] => [10,1,9,8,7,6,5,4,3,2] => {{1,2,10},{3,9},{4,8},{5,7},{6}}
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [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}}
[[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.] => [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}}
[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [7,5,6,4,8,3,9,2,10,1] => [10,9,8,6,7,5,4,3,2,1] => {{1,10},{2,9},{3,8},{4,5,6,7}}
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [10,8,6,4,2,1,3,5,7,9] => [2,4,1,6,3,8,5,10,7,9] => {{1,2,3,4,5,6,7,8,9,10}}
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => {{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] => {{1,2,3,4,5,6,7,8,9,10}}
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [2,9,1,3,4,5,6,7,8] => {{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}}
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [11,1,2,3,4,5,6,7,8,9,10] => {{1,2,3,4,5,6,7,8,9,10,11}}
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [2,10,1,3,4,5,6,7,8,9] => {{1,2,3,4,5,6,7,8,9,10}}
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [3,1,9,2,4,5,6,7,8] => {{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}}
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [9,1,2,3,4,5,6,8,7] => {{1,2,3,4,5,6,7,9},{8}}
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [7,8,9,1,2,3,4,5,6] => [9,1,2,3,4,5,7,8,6] => {{1,2,3,4,5,6,9},{7},{8}}
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,7] => {{1,2,3,4,5,6,7,8,9}}
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [10,1,2,3,4,5,6,7,9,8] => {{1,2,3,4,5,6,7,8,10},{9}}
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [8,7,9,1,2,3,4,5,6] => [9,1,2,3,4,5,8,7,6] => {{1,2,3,4,5,6,9},{7,8}}
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,1,2,3,4,5] => [10,1,2,3,4,6,7,8,9,5] => {{1,2,3,4,5,10},{6},{7},{8},{9}}
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,10,1,2] => [10,1,3,4,5,6,7,8,9,2] => {{1,2,10},{3},{4},{5},{6},{7},{8},{9}}
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,2] => {{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}}
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,10,2] => {{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}}
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [11,10,9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,10,11,2] => {{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}}
[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [7,6,8,4,3,5,9,2,10,1] => [10,9,4,8,3,7,6,5,2,1] => {{1,10},{2,9},{3,4,5,8},{6,7}}
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [7,6,8,5,9,4,10,2,1,3] => [2,10,1,9,8,7,6,5,4,3] => {{1,2,3,10},{4,9},{5,8},{6,7}}
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [10,5,4,6,3,7,2,8,1,9] => [8,7,6,5,10,4,3,2,1,9] => {{1,2,3,4,5,6,7,8,9,10}}
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [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}}
[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.] => [6,4,5,7,3,8,2,9,1,10] => [9,8,7,6,4,5,3,2,1,10] => {{1,9},{2,8},{3,7},{4,5,6},{10}}
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,9,3] => {{1,2,3,4,5,6,7,8,9}}
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,9,4] => {{1,2,3,4,5,6,7,8,9}}
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [9,8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,9,5] => {{1,2,3,4,5,6,7,8,9}}
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [9,8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,9,6] => {{1,2,3,4,5,6,7,8,9}}
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [9,8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,9,7] => {{1,2,3,4,5,6,7,8,9}}
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,8] => {{1,2,3,4,5,6,7,8,9}}
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,9,3] => {{1,2,3,4,5,6,7,8,9}}
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,9,10,3] => {{1,2,3,4,5,6,7,8,9,10}}
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,9,10,4] => {{1,2,3,4,5,6,7,8,9,10}}
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,9,10,5] => {{1,2,3,4,5,6,7,8,9,10}}
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [10,9,8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,9,10,6] => {{1,2,3,4,5,6,7,8,9,10}}
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [10,9,8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,9,10,7] => {{1,2,3,4,5,6,7,8,9,10}}
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [10,9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,10,8] => {{1,2,3,4,5,6,7,8,9,10}}
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,10,1,9] => {{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}}
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [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}}
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [4,3,1,2,5,6,7,8,9] => [3,1,4,2,5,6,7,8,9] => {{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}}
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => {{1,2,3},{4},{5},{6},{7},{8},{9}}
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => {{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [9,8,7,5,6,4,3,2,1] => [2,3,4,6,7,5,8,9,1] => {{1,2,3,4,5,6,7,8,9}}
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,4,5,3,2,1] => [2,3,5,6,4,7,8,9,1] => {{1,2,3,4,5,6,7,8,9}}
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,2,3,1] => [3,4,2,5,6,7,8,9,1] => {{1,2,3,4,5,6,7,8,9}}
[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [10,8,9,6,7,4,5,2,3,1] => [3,5,2,7,4,9,6,10,8,1] => {{1,2,3,4,5,6,7,8,9,10}}
[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]] => [12,10,11,8,9,6,7,4,5,2,3,1] => [3,5,2,7,4,9,6,11,8,12,10,1] => {{1,2,3,4,5,6,7,8,9,10,11,12}}
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [9,2,3,4,5,6,7,8,1] => [8,9,2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7,8,9}}
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [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}}
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [8,2,1,3,4,5,6,7,9] => [2,8,1,3,4,5,6,7,9] => {{1,2,3,4,5,6,7,8},{9}}
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [8,2,3,4,5,6,7,9,1] => [9,8,2,3,4,5,6,7,1] => {{1,9},{2,3,4,5,6,7,8}}
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [4,2,1,3,5,6,7,8,9] => [2,4,1,3,5,6,7,8,9] => {{1,2,3,4},{5},{6},{7},{8},{9}}
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [5,3,2,1,4,6,7,8,9] => [2,3,5,1,4,6,7,8,9] => {{1,2,3,4,5},{6},{7},{8},{9}}
[[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.] => [6,4,3,2,1,5,7,8,9] => [2,3,4,6,1,5,7,8,9] => {{1,2,3,4,5,6},{7},{8},{9}}
[[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.] => [7,5,4,3,2,1,6,8,9] => [2,3,4,5,7,1,6,8,9] => {{1,2,3,4,5,6,7},{8},{9}}
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [8,6,5,4,3,2,1,7,9] => [2,3,4,5,6,8,1,7,9] => {{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}}
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [2,3,4,5,1,6,7,8,9] => [5,2,3,4,1,6,7,8,9] => {{1,5},{2},{3},{4},{6},{7},{8},{9}}
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,2,3,4,5,6,1,8,9] => {{1,7},{2},{3},{4},{5},{6},{8},{9}}
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [4,2,3,1,5,6,7,8,9] => [3,4,2,1,5,6,7,8,9] => {{1,2,3,4},{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}}
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9] => {{1,2,3,4},{5},{6},{7},{8},{9}}
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [5,1,2,3,4,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => {{1,2,3,4,5},{6},{7},{8},{9}}
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [6,1,2,3,4,5,7,8,9] => [6,1,2,3,4,5,7,8,9] => {{1,2,3,4,5,6},{7},{8},{9}}
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [7,1,2,3,4,5,6,8,9] => {{1,2,3,4,5,6,7},{8},{9}}
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [8,1,2,3,4,5,6,7,9] => {{1,2,3,4,5,6,7,8},{9}}
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => {{1,2,3},{4},{5},{6},{7},{8},{9},{10}}
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => {{1,2,3,4},{5},{6},{7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [5,1,2,3,4,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => {{1,2,3,4,5},{6},{7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => {{1,2,3,4,5,6},{7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [7,1,2,3,4,5,6,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => {{1,2,3,4,5,6,7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [8,1,2,3,4,5,6,7,9,10] => [8,1,2,3,4,5,6,7,9,10] => {{1,2,3,4,5,6,7,8},{9},{10}}
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [9,1,2,3,4,5,6,7,8,10] => {{1,2,3,4,5,6,7,8,9},{10}}
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [9,7,6,5,4,3,2,8,1] => [8,3,4,5,6,7,9,2,1] => {{1,2,3,4,5,6,7,8,9}}
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [9,7,6,5,4,3,1,2,8] => [3,1,4,5,6,7,9,2,8] => {{1,2,3,4,5,6,7,8,9}}
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,9,10,3] => {{1,2,3,4,5,6,7,8,9,10}}
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,10,8] => {{1,2,3,4,5,6,7,8,9,10}}
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] => [10,9,8,7,6,5,4,3,2,11,1] => [11,3,4,5,6,7,8,9,10,2,1] => {{1,11},{2,3,4,5,6,7,8,9,10}}
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,6] => {{1,2,3,4,5,6,7,8,9}}
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,5] => {{1,2,3,4,5,6,7,8,9}}
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,9,4] => {{1,2,3,4,5,6,7,8,9}}
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [9,7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,9,6,8] => {{1,2,3,4,5,6,7,8,9}}
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,10,7] => {{1,2,3,4,5,6,7,8,9,10}}
[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [9,8,6,1,2,3,4,5,7] => [6,1,2,3,4,8,5,9,7] => {{1,2,3,4,5,6,7,8,9}}
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,10,6] => {{1,2,3,4,5,6,7,8,9,10}}
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,10,5] => {{1,2,3,4,5,6,7,8,9,10}}
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,9,10,4] => {{1,2,3,4,5,6,7,8,9,10}}
[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.] => [3,2,4,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => {{1,4},{2,3},{5},{6},{7},{8},{9}}
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [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}}
[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]] => [8,9,7,6,5,4,3,2,10,1] => [10,3,4,5,6,7,9,8,2,1] => {{1,10},{2,3,4,5,6,7,9},{8}}
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [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}}
[.,[.,[.,[[[[[.,[.,.]],.],.],.],.]]]] => [5,4,6,7,8,9,3,2,1] => [2,3,9,5,4,6,7,8,1] => {{1,2,3,9},{4,5},{6},{7},{8}}
[.,[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]] => [6,5,7,8,9,4,3,2,1] => [2,3,4,9,6,5,7,8,1] => {{1,2,3,4,9},{5,6},{7},{8}}
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [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}}
[[[[[.,[.,[.,[.,.]]]],.],.],.],[.,.]] => [9,4,3,2,1,5,6,7,8] => [2,3,4,9,1,5,6,7,8] => {{1,2,3,4,5,6,7,8,9}}
[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.] => [8,7,1,2,3,4,5,6,9] => [7,1,2,3,4,5,8,6,9] => {{1,2,3,4,5,6,7,8},{9}}
[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.] => [3,4,5,6,7,8,2,1,9] => [2,8,3,4,5,6,7,1,9] => {{1,2,8},{3},{4},{5},{6},{7},{9}}
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [10,8,7,6,5,4,3,1,2,9] => [3,1,4,5,6,7,8,10,2,9] => {{1,2,3,4,5,6,7,8,9,10}}
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [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}}
[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]] => [7,6,8,9,5,4,3,2,1] => [2,3,4,5,9,7,6,8,1] => {{1,2,3,4,5,9},{6,7},{8}}
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
Map
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.