Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00151: Permutations —to cycle type⟶ Set partitions
Mp00112: Set partitions —complement⟶ Set partitions
Mp00151: Permutations —to cycle type⟶ Set partitions
Mp00112: Set partitions —complement⟶ Set partitions
Images
[.,.] => [1] => {{1}} => {{1}}
[.,[.,.]] => [2,1] => {{1,2}} => {{1,2}}
[[.,.],.] => [1,2] => {{1},{2}} => {{1},{2}}
[.,[.,[.,.]]] => [3,2,1] => {{1,3},{2}} => {{1,3},{2}}
[.,[[.,.],.]] => [2,3,1] => {{1,2,3}} => {{1,2,3}}
[[.,.],[.,.]] => [1,3,2] => {{1},{2,3}} => {{1,2},{3}}
[[.,[.,.]],.] => [2,1,3] => {{1,2},{3}} => {{1},{2,3}}
[[[.,.],.],.] => [1,2,3] => {{1},{2},{3}} => {{1},{2},{3}}
[.,[.,[.,[.,.]]]] => [4,3,2,1] => {{1,4},{2,3}} => {{1,4},{2,3}}
[.,[.,[[.,.],.]]] => [3,4,2,1] => {{1,2,3,4}} => {{1,2,3,4}}
[.,[[.,.],[.,.]]] => [2,4,3,1] => {{1,2,4},{3}} => {{1,3,4},{2}}
[.,[[.,[.,.]],.]] => [3,2,4,1] => {{1,3,4},{2}} => {{1,2,4},{3}}
[.,[[[.,.],.],.]] => [2,3,4,1] => {{1,2,3,4}} => {{1,2,3,4}}
[[.,.],[.,[.,.]]] => [1,4,3,2] => {{1},{2,4},{3}} => {{1,3},{2},{4}}
[[.,.],[[.,.],.]] => [1,3,4,2] => {{1},{2,3,4}} => {{1,2,3},{4}}
[[.,[.,.]],[.,.]] => [2,1,4,3] => {{1,2},{3,4}} => {{1,2},{3,4}}
[[[.,.],.],[.,.]] => [1,2,4,3] => {{1},{2},{3,4}} => {{1,2},{3},{4}}
[[.,[.,[.,.]]],.] => [3,2,1,4] => {{1,3},{2},{4}} => {{1},{2,4},{3}}
[[.,[[.,.],.]],.] => [2,3,1,4] => {{1,2,3},{4}} => {{1},{2,3,4}}
[[[.,.],[.,.]],.] => [1,3,2,4] => {{1},{2,3},{4}} => {{1},{2,3},{4}}
[[[.,[.,.]],.],.] => [2,1,3,4] => {{1,2},{3},{4}} => {{1},{2},{3,4}}
[[[[.,.],.],.],.] => [1,2,3,4] => {{1},{2},{3},{4}} => {{1},{2},{3},{4}}
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => {{1,5},{2,4},{3}} => {{1,5},{2,4},{3}}
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => {{1,2,4,5},{3}} => {{1,2,4,5},{3}}
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => {{1,2,3,4,5}} => {{1,2,3,4,5}}
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => {{1,2,3,4,5}} => {{1,2,3,4,5}}
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => {{1,3,5},{2,4}} => {{1,3,5},{2,4}}
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => {{1,2,5},{3,4}} => {{1,4,5},{2,3}}
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => {{1,2,3,4,5}} => {{1,2,3,4,5}}
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => {{1,3,5},{2},{4}} => {{1,3,5},{2},{4}}
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => {{1,2,3,5},{4}} => {{1,3,4,5},{2}}
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => {{1,4,5},{2,3}} => {{1,2,5},{3,4}}
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => {{1,2,3,4,5}} => {{1,2,3,4,5}}
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => {{1,2,4,5},{3}} => {{1,2,4,5},{3}}
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => {{1,3,4,5},{2}} => {{1,2,3,5},{4}}
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => {{1,2,3,4,5}} => {{1,2,3,4,5}}
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => {{1,4},{2,3},{5}}
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => {{1},{2,3,4,5}} => {{1,2,3,4},{5}}
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => {{1},{2,3,5},{4}} => {{1,3,4},{2},{5}}
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => {{1},{2,4,5},{3}} => {{1,2,4},{3},{5}}
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => {{1},{2,3,4,5}} => {{1,2,3,4},{5}}
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => {{1,2},{3,5},{4}} => {{1,3},{2},{4,5}}
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => {{1,2},{3,4,5}} => {{1,2,3},{4,5}}
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => {{1},{2},{3,5},{4}} => {{1,3},{2},{4},{5}}
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => {{1},{2},{3,4,5}} => {{1,2,3},{4},{5}}
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => {{1,3},{2},{4,5}} => {{1,2},{3,5},{4}}
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => {{1,2,3},{4,5}} => {{1,2},{3,4,5}}
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => {{1},{2,3},{4,5}} => {{1,2},{3,4},{5}}
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => {{1,2},{3},{4,5}} => {{1,2},{3},{4,5}}
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => {{1,2},{3},{4},{5}}
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => {{1,4},{2,3},{5}} => {{1},{2,5},{3,4}}
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => {{1,2,3,4},{5}} => {{1},{2,3,4,5}}
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => {{1,2,4},{3},{5}} => {{1},{2,4,5},{3}}
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => {{1,3,4},{2},{5}} => {{1},{2,3,5},{4}}
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => {{1,2,3,4},{5}} => {{1},{2,3,4,5}}
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => {{1},{2,4},{3},{5}} => {{1},{2,4},{3},{5}}
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => {{1,2},{3,4},{5}} => {{1},{2,3},{4,5}}
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => {{1},{2},{3,4},{5}} => {{1},{2,3},{4},{5}}
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => {{1,3},{2},{4},{5}} => {{1},{2},{3,5},{4}}
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => {{1,2,3},{4},{5}} => {{1},{2},{3,4,5}}
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => {{1},{2,3},{4},{5}} => {{1},{2},{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}} => {{1},{2},{3},{4},{5}}
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => {{1,6},{2,5},{3,4}} => {{1,6},{2,5},{3,4}}
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => {{1,2,5,6},{3,4}} => {{1,2,5,6},{3,4}}
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}}
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}}
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => {{1,3,4,6},{2,5}} => {{1,3,4,6},{2,5}}
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => {{1,2,3,5,6},{4}} => {{1,2,4,5,6},{3}}
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => {{1,3,6},{2,5},{4}} => {{1,4,6},{2,5},{3}}
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}}
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => {{1,3,6},{2,4,5}} => {{1,4,6},{2,3,5}}
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => {{1,2,4,5,6},{3}} => {{1,2,3,5,6},{4}}
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => {{1,4,6},{2,5},{3}} => {{1,3,6},{2,5},{4}}
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => {{1,3,4,6},{2,5}} => {{1,3,4,6},{2,5}}
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => {{1,3,6},{2,4,5}}
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}}
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => {{1,5,6},{2,4},{3}}
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => {{1,2,3,5,6},{4}} => {{1,2,4,5,6},{3}}
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}}
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}}
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => {{1,3,5,6},{2,4}}
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => {{1,3,6},{2},{4,5}} => {{1,4,6},{2,3},{5}}
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => {{1,3,4,5,6},{2}} => {{1,2,3,4,6},{5}}
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => {{1,4,5,6},{2,3}}
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}}
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => {{1,4,6},{2,3},{5}} => {{1,3,6},{2},{4,5}}
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => {{1,2,3,4,6},{5}} => {{1,3,4,5,6},{2}}
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => {{1,2,4,6},{3},{5}} => {{1,3,5,6},{2},{4}}
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => {{1,3,4,6},{2},{5}} => {{1,3,4,6},{2},{5}}
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => {{1,3,4,5,6},{2}}
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => {{1,5,6},{2,4},{3}} => {{1,2,6},{3,5},{4}}
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => {{1,2,4,5,6},{3}} => {{1,2,3,5,6},{4}}
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}}
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}}
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => {{1,2,4,6},{3,5}}
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => {{1,2,5,6},{3,4}}
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}}
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => {{1,3,5,6},{2},{4}} => {{1,2,4,6},{3},{5}}
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => {{1,2,4,5,6},{3}}
>>> Load all 1816 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => {{1,2,3,6},{4,5}}
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}}
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => {{1,2,3,5,6},{4}}
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => {{1,2,3,4,6},{5}}
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}}
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => {{1,5},{2,4},{3},{6}}
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => {{1},{2,3,5,6},{4}} => {{1,2,4,5},{3},{6}}
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => {{1},{2,3,4,5,6}} => {{1,2,3,4,5},{6}}
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => {{1},{2,3,4,5,6}} => {{1,2,3,4,5},{6}}
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => {{1},{2,4,6},{3,5}} => {{1,3,5},{2,4},{6}}
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => {{1},{2,3,6},{4,5}} => {{1,4,5},{2,3},{6}}
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => {{1},{2,3,4,5,6}} => {{1,2,3,4,5},{6}}
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => {{1},{2,4,6},{3},{5}} => {{1,3,5},{2},{4},{6}}
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => {{1},{2,3,4,6},{5}} => {{1,3,4,5},{2},{6}}
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => {{1},{2,5,6},{3,4}} => {{1,2,5},{3,4},{6}}
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => {{1},{2,3,4,5,6}} => {{1,2,3,4,5},{6}}
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => {{1},{2,3,5,6},{4}} => {{1,2,4,5},{3},{6}}
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => {{1},{2,4,5,6},{3}} => {{1,2,3,5},{4},{6}}
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => {{1},{2,3,4,5,6}} => {{1,2,3,4,5},{6}}
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => {{1,4},{2,3},{5,6}}
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => {{1,2},{3,4,5,6}} => {{1,2,3,4},{5,6}}
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => {{1,2},{3,4,6},{5}} => {{1,3,4},{2},{5,6}}
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => {{1,2},{3,5,6},{4}} => {{1,2,4},{3},{5,6}}
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => {{1,2},{3,4,5,6}} => {{1,2,3,4},{5,6}}
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => {{1},{2},{3,6},{4,5}} => {{1,4},{2,3},{5},{6}}
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => {{1},{2},{3,4,5,6}} => {{1,2,3,4},{5},{6}}
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => {{1},{2},{3,4,6},{5}} => {{1,3,4},{2},{5},{6}}
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => {{1},{2},{3,5,6},{4}} => {{1,2,4},{3},{5},{6}}
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} => {{1,2,3,4},{5},{6}}
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => {{1,3},{2},{4,6},{5}} => {{1,3},{2},{4,6},{5}}
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => {{1,3},{2},{4,5,6}} => {{1,2,3},{4,6},{5}}
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => {{1,2,3},{4,6},{5}} => {{1,3},{2},{4,5,6}}
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => {{1,2,3},{4,5,6}} => {{1,2,3},{4,5,6}}
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => {{1},{2,3},{4,6},{5}} => {{1,3},{2},{4,5},{6}}
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => {{1},{2,3},{4,5,6}} => {{1,2,3},{4,5},{6}}
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => {{1,2},{3},{4,6},{5}} => {{1,3},{2},{4},{5,6}}
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => {{1,2},{3},{4,5,6}} => {{1,2,3},{4},{5,6}}
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => {{1},{2},{3},{4,6},{5}} => {{1,3},{2},{4},{5},{6}}
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => {{1,2,3},{4},{5},{6}}
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => {{1,4},{2,3},{5,6}} => {{1,2},{3,6},{4,5}}
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => {{1,2,3,4},{5,6}} => {{1,2},{3,4,5,6}}
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => {{1,2,4},{3},{5,6}} => {{1,2},{3,5,6},{4}}
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => {{1,3,4},{2},{5,6}} => {{1,2},{3,4,6},{5}}
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => {{1,2,3,4},{5,6}} => {{1,2},{3,4,5,6}}
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => {{1},{2,4},{3},{5,6}} => {{1,2},{3,5},{4},{6}}
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => {{1},{2,3,4},{5,6}} => {{1,2},{3,4,5},{6}}
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => {{1,2},{3,4},{5,6}} => {{1,2},{3,4},{5,6}}
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}} => {{1,2},{3,4},{5},{6}}
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => {{1,3},{2},{4},{5,6}} => {{1,2},{3},{4,6},{5}}
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => {{1,2,3},{4},{5,6}} => {{1,2},{3},{4,5,6}}
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}} => {{1,2},{3},{4,5},{6}}
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => {{1,2},{3},{4},{5,6}} => {{1,2},{3},{4},{5,6}}
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1,2},{3},{4},{5},{6}}
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => {{1,5},{2,4},{3},{6}} => {{1},{2,6},{3,5},{4}}
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => {{1,2,4,5},{3},{6}} => {{1},{2,3,5,6},{4}}
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => {{1,2,3,4,5},{6}} => {{1},{2,3,4,5,6}}
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => {{1,2,3,4,5},{6}} => {{1},{2,3,4,5,6}}
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => {{1,3,5},{2,4},{6}} => {{1},{2,4,6},{3,5}}
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => {{1,2,5},{3,4},{6}} => {{1},{2,5,6},{3,4}}
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => {{1,2,3,4,5},{6}} => {{1},{2,3,4,5,6}}
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => {{1,3,5},{2},{4},{6}} => {{1},{2,4,6},{3},{5}}
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => {{1,2,3,5},{4},{6}} => {{1},{2,4,5,6},{3}}
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => {{1,4,5},{2,3},{6}} => {{1},{2,3,6},{4,5}}
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => {{1,2,3,4,5},{6}} => {{1},{2,3,4,5,6}}
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => {{1,2,4,5},{3},{6}} => {{1},{2,3,5,6},{4}}
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => {{1,3,4,5},{2},{6}} => {{1},{2,3,4,6},{5}}
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => {{1,2,3,4,5},{6}} => {{1},{2,3,4,5,6}}
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => {{1},{2,5},{3,4},{6}} => {{1},{2,5},{3,4},{6}}
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => {{1},{2,3,5},{4},{6}} => {{1},{2,4,5},{3},{6}}
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => {{1},{2,4,5},{3},{6}} => {{1},{2,3,5},{4},{6}}
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => {{1,2},{3,5},{4},{6}} => {{1},{2,4},{3},{5,6}}
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => {{1,2},{3,4,5},{6}} => {{1},{2,3,4},{5,6}}
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => {{1},{2},{3,5},{4},{6}} => {{1},{2,4},{3},{5},{6}}
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => {{1},{2,3,4},{5},{6}}
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => {{1,3},{2},{4,5},{6}} => {{1},{2,3},{4,6},{5}}
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => {{1,2,3},{4,5},{6}} => {{1},{2,3},{4,5,6}}
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}}
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => {{1,2},{3},{4,5},{6}} => {{1},{2,3},{4},{5,6}}
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2,3},{4},{5},{6}}
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => {{1,4},{2,3},{5},{6}} => {{1},{2},{3,6},{4,5}}
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => {{1,2,3,4},{5},{6}} => {{1},{2},{3,4,5,6}}
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => {{1,2,4},{3},{5},{6}} => {{1},{2},{3,5,6},{4}}
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => {{1,3,4},{2},{5},{6}} => {{1},{2},{3,4,6},{5}}
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => {{1,2,3,4},{5},{6}} => {{1},{2},{3,4,5,6}}
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => {{1},{2,4},{3},{5},{6}} => {{1},{2},{3,5},{4},{6}}
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2},{3,4,5},{6}}
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => {{1,2},{3,4},{5},{6}} => {{1},{2},{3,4},{5,6}}
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => {{1,3},{2},{4},{5},{6}} => {{1},{2},{3},{4,6},{5}}
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}} => {{1},{2},{3},{4,5,6}}
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2},{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}} => {{1},{2},{3},{4},{5},{6}}
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => {{1,7},{2,6},{3,5},{4}} => {{1,7},{2,6},{3,5},{4}}
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => {{1,2,6,7},{3,5},{4}} => {{1,2,6,7},{3,5},{4}}
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => {{1,2,3,5,6,7},{4}} => {{1,2,3,5,6,7},{4}}
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => {{1,2,3,5,6,7},{4}} => {{1,2,3,5,6,7},{4}}
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => {{1,3,5,7},{2,6},{4}} => {{1,3,5,7},{2,6},{4}}
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => {{1,3,4,5,7},{2,6}} => {{1,3,4,5,7},{2,6}}
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => {{1,3,5,7},{2,4,6}} => {{1,3,5,7},{2,4,6}}
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => {{1,3,4,5,7},{2,6}} => {{1,3,4,5,7},{2,6}}
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => {{1,4,7},{2,6},{3,5}} => {{1,4,7},{2,6},{3,5}}
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => {{1,4,7},{2,3,5,6}}
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => {{1,2,3,6,7},{4,5}} => {{1,2,5,6,7},{3,4}}
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => {{1,3,7},{2,6},{4,5}} => {{1,5,7},{2,6},{3,4}}
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => {{1,3,7},{2,4,5,6}} => {{1,5,7},{2,3,4,6}}
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => {{1,3,4,5,7},{2,6}} => {{1,3,4,5,7},{2,6}}
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => {{1,2,3,4,6,7},{5}} => {{1,2,4,5,6,7},{3}}
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => {{1,4,7},{2,3,6},{5}} => {{1,4,7},{2,5,6},{3}}
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => {{1,3,7},{2,4,6},{5}} => {{1,5,7},{2,4,6},{3}}
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => {{1,2,4,5,6,7},{3}}
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => {{1,2,4,5,6,7},{3}} => {{1,2,3,4,6,7},{5}}
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => {{1,4,7},{2,5,6},{3}} => {{1,4,7},{2,3,6},{5}}
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => {{1,3,4,7},{2,5,6}} => {{1,4,5,7},{2,3,6}}
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => {{1,4,7},{2,3,5,6}} => {{1,4,7},{2,3,5,6}}
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => {{1,2,5,6,7},{3,4}} => {{1,2,3,6,7},{4,5}}
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => {{1,5,7},{2,6},{3,4}} => {{1,3,7},{2,6},{4,5}}
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => {{1,3,4,5,7},{2,6}} => {{1,3,4,5,7},{2,6}}
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => {{1,5,7},{2,3,4,6}} => {{1,3,7},{2,4,5,6}}
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => {{1,3,5,7},{2,6},{4}} => {{1,3,5,7},{2,6},{4}}
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => {{1,2,3,5,6,7},{4}}
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => {{1,4,5,7},{2,3,6}} => {{1,3,4,7},{2,5,6}}
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => {{1,5,7},{2,4,6},{3}} => {{1,3,7},{2,4,6},{5}}
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => {{1,2,3,4,6,7},{5}}
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => {{1,3,5,7},{2,4,6}}
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => {{1,2,7},{3,6},{4,5}} => {{1,6,7},{2,5},{3,4}}
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => {{1,2,3,6,7},{4,5}} => {{1,2,5,6,7},{3,4}}
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => {{1,3,4,6,7},{2,5}}
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => {{1,2,3,4,6,7},{5}} => {{1,2,4,5,6,7},{3}}
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => {{1,4,6,7},{2,5},{3}}
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => {{1,4,6,7},{2,3,5}}
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => {{1,2,3,5,6,7},{4}} => {{1,2,3,5,6,7},{4}}
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => {{1,3,6,7},{2,5},{4}}
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => {{1,3,4,6,7},{2,5}}
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => {{1,3,6,7},{2,4,5}}
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => {{1,3,7},{2},{4,6},{5}} => {{1,5,7},{2,4},{3},{6}}
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => {{1,3,4,6,7},{2},{5}} => {{1,2,4,5,7},{3},{6}}
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => {{1,3,4,5,6,7},{2}} => {{1,2,3,4,5,7},{6}}
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => {{1,3,4,5,6,7},{2}} => {{1,2,3,4,5,7},{6}}
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => {{1,3,5,7},{2,4},{6}}
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => {{1,5,6,7},{2,4},{3}}
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => {{1,2,4,5,6,7},{3}}
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => {{1,3,5,6,7},{2,4}}
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => {{1,4,7},{2,3},{5,6}} => {{1,4,7},{2,3},{5,6}}
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => {{1,4,5,6,7},{2,3}} => {{1,2,3,4,7},{5,6}}
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => {{1,2,3,4,7},{5,6}} => {{1,4,5,6,7},{2,3}}
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => {{1,2,4,7},{3},{5,6}} => {{1,4,6,7},{2,3},{5}}
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => {{1,2,3,4,6,7},{5}}
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => {{1,3,4,7},{2},{5,6}} => {{1,4,5,7},{2,3},{6}}
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => {{1,2,3,4,5,7},{6}}
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => {{1,4,5,6,7},{2,3}}
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => {{1,5,7},{2,4},{3},{6}} => {{1,3,7},{2},{4,6},{5}}
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => {{1,2,4,5,7},{3},{6}} => {{1,3,4,6,7},{2},{5}}
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => {{1,2,3,4,5,7},{6}} => {{1,3,4,5,6,7},{2}}
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => {{1,2,3,4,5,7},{6}} => {{1,3,4,5,6,7},{2}}
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => {{1,3,5,7},{2},{4,6}}
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => {{1,2,5,7},{3,4},{6}} => {{1,3,6,7},{2},{4,5}}
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => {{1,3,4,5,6,7},{2}}
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => {{1,3,5,7},{2},{4},{6}} => {{1,3,5,7},{2},{4},{6}}
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => {{1,3,5,6,7},{2},{4}}
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => {{1,4,5,7},{2,3},{6}} => {{1,3,4,7},{2},{5,6}}
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => {{1,3,4,5,6,7},{2}}
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => {{1,3,4,6,7},{2},{5}}
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => {{1,3,4,5,7},{2},{6}}
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => {{1,3,4,5,6,7},{2}}
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => {{1,6,7},{2,5},{3,4}} => {{1,2,7},{3,6},{4,5}}
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => {{1,2,5,6,7},{3,4}} => {{1,2,3,6,7},{4,5}}
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => {{1,2,4,5,7},{3,6}}
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => {{1,2,3,5,6,7},{4}} => {{1,2,3,5,6,7},{4}}
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => {{1,2,5,7},{3,6},{4}}
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => {{1,2,5,7},{3,4,6}}
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => {{1,2,4,5,6,7},{3}} => {{1,2,3,4,6,7},{5}}
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => {{1,2,4,7},{3,6},{5}}
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => {{1,2,4,5,7},{3,6}}
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => {{1,2,4,7},{3,5,6}}
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => {{1,2,6,7},{3,5},{4}} => {{1,2,6,7},{3,5},{4}}
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => {{1,2,3,5,6,7},{4}}
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => {{1,2,4,6,7},{3,5}}
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => {{1,3,6,7},{2},{4,5}} => {{1,2,5,7},{3,4},{6}}
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => {{1,2,3,4,5,7},{6}}
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => {{1,2,5,6,7},{3,4}}
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => {{1,4,6,7},{2,3},{5}} => {{1,2,4,7},{3},{5,6}}
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => {{1,2,4,5,6,7},{3}}
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => {{1,2,4,6,7},{3},{5}}
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => {{1,2,4,5,7},{3},{6}}
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => {{1,2,4,5,6,7},{3}}
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => {{1,5,6,7},{2,4},{3}} => {{1,2,3,7},{4,6},{5}}
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => {{1,2,3,4,6,7},{5}}
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => {{1,2,3,5,7},{4,6}}
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => {{1,2,3,6,7},{4,5}}
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => {{1,2,3,5,7},{4},{6}}
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => {{1,2,3,5,6,7},{4}}
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => {{1,2,3,4,7},{5,6}}
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => {{1,2,3,4,6,7},{5}}
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => {{1,2,3,4,5,7},{6}}
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}}
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => {{1},{2,7},{3,6},{4,5}} => {{1,6},{2,5},{3,4},{7}}
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => {{1},{2,3,6,7},{4,5}} => {{1,2,5,6},{3,4},{7}}
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => {{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}}
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => {{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}}
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => {{1},{2,4,5,7},{3,6}} => {{1,3,4,6},{2,5},{7}}
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => {{1},{2,3,4,6,7},{5}} => {{1,2,4,5,6},{3},{7}}
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => {{1},{2,4,7},{3,6},{5}} => {{1,4,6},{2,5},{3},{7}}
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => {{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}}
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => {{1},{2,4,7},{3,5,6}} => {{1,4,6},{2,3,5},{7}}
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => {{1},{2,3,5,6,7},{4}} => {{1,2,3,5,6},{4},{7}}
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => {{1},{2,5,7},{3,6},{4}} => {{1,3,6},{2,5},{4},{7}}
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => {{1},{2,4,5,7},{3,6}} => {{1,3,4,6},{2,5},{7}}
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => {{1,3,6},{2,4,5},{7}}
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => {{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}}
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => {{1},{2,3,7},{4,6},{5}} => {{1,5,6},{2,4},{3},{7}}
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => {{1},{2,3,4,6,7},{5}} => {{1,2,4,5,6},{3},{7}}
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => {{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}}
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => {{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}}
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => {{1},{2,3,5,7},{4,6}} => {{1,3,5,6},{2,4},{7}}
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => {{1},{2,4,7},{3},{5,6}} => {{1,4,6},{2,3},{5},{7}}
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => {{1},{2,4,5,6,7},{3}} => {{1,2,3,4,6},{5},{7}}
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => {{1},{2,3,4,7},{5,6}} => {{1,4,5,6},{2,3},{7}}
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => {{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}}
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => {{1},{2,5,7},{3,4},{6}} => {{1,3,6},{2},{4,5},{7}}
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => {{1},{2,3,4,5,7},{6}} => {{1,3,4,5,6},{2},{7}}
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => {{1},{2,3,5,7},{4},{6}} => {{1,3,5,6},{2},{4},{7}}
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => {{1},{2,4,5,7},{3},{6}} => {{1,3,4,6},{2},{5},{7}}
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => {{1},{2,3,4,5,7},{6}} => {{1,3,4,5,6},{2},{7}}
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => {{1},{2,6,7},{3,5},{4}} => {{1,2,6},{3,5},{4},{7}}
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => {{1},{2,3,5,6,7},{4}} => {{1,2,3,5,6},{4},{7}}
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => {{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}}
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => {{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}}
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => {{1},{2,4,6,7},{3,5}} => {{1,2,4,6},{3,5},{7}}
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => {{1},{2,3,6,7},{4,5}} => {{1,2,5,6},{3,4},{7}}
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => {{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}}
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => {{1},{2,4,6,7},{3},{5}} => {{1,2,4,6},{3},{5},{7}}
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => {{1},{2,3,4,6,7},{5}} => {{1,2,4,5,6},{3},{7}}
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => {{1},{2,5,6,7},{3,4}} => {{1,2,3,6},{4,5},{7}}
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => {{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}}
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => {{1},{2,3,5,6,7},{4}} => {{1,2,3,5,6},{4},{7}}
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => {{1},{2,4,5,6,7},{3}} => {{1,2,3,4,6},{5},{7}}
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}}
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => {{1,2},{3,7},{4,6},{5}} => {{1,5},{2,4},{3},{6,7}}
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => {{1,2},{3,4,6,7},{5}} => {{1,2,4,5},{3},{6,7}}
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => {{1,2},{3,4,5,6,7}} => {{1,2,3,4,5},{6,7}}
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => {{1,2},{3,4,5,6,7}} => {{1,2,3,4,5},{6,7}}
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => {{1,2},{3,5,7},{4,6}} => {{1,3,5},{2,4},{6,7}}
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => {{1,2},{3,4,7},{5,6}} => {{1,4,5},{2,3},{6,7}}
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => {{1,2},{3,4,5,6,7}} => {{1,2,3,4,5},{6,7}}
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => {{1,2},{3,5,7},{4},{6}} => {{1,3,5},{2},{4},{6,7}}
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => {{1,2},{3,4,5,7},{6}} => {{1,3,4,5},{2},{6,7}}
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => {{1,2},{3,6,7},{4,5}} => {{1,2,5},{3,4},{6,7}}
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => {{1,2},{3,4,5,6,7}} => {{1,2,3,4,5},{6,7}}
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => {{1,2},{3,4,6,7},{5}} => {{1,2,4,5},{3},{6,7}}
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => {{1,2},{3,5,6,7},{4}} => {{1,2,3,5},{4},{6,7}}
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => {{1,2},{3,4,5,6,7}} => {{1,2,3,4,5},{6,7}}
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => {{1},{2},{3,7},{4,6},{5}} => {{1,5},{2,4},{3},{6},{7}}
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => {{1},{2},{3,4,6,7},{5}} => {{1,2,4,5},{3},{6},{7}}
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => {{1},{2},{3,4,5,6,7}} => {{1,2,3,4,5},{6},{7}}
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => {{1},{2},{3,4,5,6,7}} => {{1,2,3,4,5},{6},{7}}
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => {{1},{2},{3,5,7},{4,6}} => {{1,3,5},{2,4},{6},{7}}
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => {{1},{2},{3,4,7},{5,6}} => {{1,4,5},{2,3},{6},{7}}
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => {{1},{2},{3,4,5,6,7}} => {{1,2,3,4,5},{6},{7}}
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => {{1},{2},{3,5,7},{4},{6}} => {{1,3,5},{2},{4},{6},{7}}
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => {{1},{2},{3,4,5,7},{6}} => {{1,3,4,5},{2},{6},{7}}
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => {{1},{2},{3,6,7},{4,5}} => {{1,2,5},{3,4},{6},{7}}
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => {{1},{2},{3,4,5,6,7}} => {{1,2,3,4,5},{6},{7}}
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => {{1},{2},{3,4,6,7},{5}} => {{1,2,4,5},{3},{6},{7}}
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => {{1},{2},{3,5,6,7},{4}} => {{1,2,3,5},{4},{6},{7}}
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => {{1,2,3,4,5},{6},{7}}
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => {{1,3},{2},{4,7},{5,6}} => {{1,4},{2,3},{5,7},{6}}
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => {{1,3},{2},{4,5,6,7}} => {{1,2,3,4},{5,7},{6}}
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => {{1,3},{2},{4,5,7},{6}} => {{1,3,4},{2},{5,7},{6}}
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => {{1,3},{2},{4,6,7},{5}} => {{1,2,4},{3},{5,7},{6}}
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => {{1,3},{2},{4,5,6,7}} => {{1,2,3,4},{5,7},{6}}
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => {{1,2,3},{4,7},{5,6}} => {{1,4},{2,3},{5,6,7}}
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => {{1,2,3},{4,5,6,7}} => {{1,2,3,4},{5,6,7}}
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => {{1,2,3},{4,5,7},{6}} => {{1,3,4},{2},{5,6,7}}
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => {{1,2,3},{4,6,7},{5}} => {{1,2,4},{3},{5,6,7}}
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => {{1,2,3,4},{5,6,7}}
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => {{1},{2,3},{4,7},{5,6}} => {{1,4},{2,3},{5,6},{7}}
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => {{1},{2,3},{4,5,6,7}} => {{1,2,3,4},{5,6},{7}}
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => {{1},{2,3},{4,5,7},{6}} => {{1,3,4},{2},{5,6},{7}}
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => {{1},{2,3},{4,6,7},{5}} => {{1,2,4},{3},{5,6},{7}}
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}} => {{1,2,3,4},{5,6},{7}}
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => {{1,2},{3},{4,7},{5,6}} => {{1,4},{2,3},{5},{6,7}}
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => {{1,2},{3},{4,5,6,7}} => {{1,2,3,4},{5},{6,7}}
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => {{1,2},{3},{4,5,7},{6}} => {{1,3,4},{2},{5},{6,7}}
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => {{1,2},{3},{4,6,7},{5}} => {{1,2,4},{3},{5},{6,7}}
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => {{1,2},{3},{4,5,6,7}} => {{1,2,3,4},{5},{6,7}}
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => {{1},{2},{3},{4,7},{5,6}} => {{1,4},{2,3},{5},{6},{7}}
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => {{1},{2},{3},{4,5,6,7}} => {{1,2,3,4},{5},{6},{7}}
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => {{1},{2},{3},{4,5,7},{6}} => {{1,3,4},{2},{5},{6},{7}}
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => {{1},{2},{3},{4,6,7},{5}} => {{1,2,4},{3},{5},{6},{7}}
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => {{1,2,3,4},{5},{6},{7}}
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => {{1,4},{2,3},{5,7},{6}} => {{1,3},{2},{4,7},{5,6}}
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => {{1,4},{2,3},{5,6,7}} => {{1,2,3},{4,7},{5,6}}
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => {{1,2,3,4},{5,7},{6}} => {{1,3},{2},{4,5,6,7}}
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => {{1,2,3,4},{5,6,7}} => {{1,2,3},{4,5,6,7}}
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => {{1,2,4},{3},{5,7},{6}} => {{1,3},{2},{4,6,7},{5}}
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => {{1,2,4},{3},{5,6,7}} => {{1,2,3},{4,6,7},{5}}
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => {{1,3,4},{2},{5,7},{6}} => {{1,3},{2},{4,5,7},{6}}
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => {{1,3,4},{2},{5,6,7}} => {{1,2,3},{4,5,7},{6}}
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => {{1,2,3,4},{5,7},{6}} => {{1,3},{2},{4,5,6,7}}
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => {{1,2,3},{4,5,6,7}}
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => {{1},{2,4},{3},{5,7},{6}} => {{1,3},{2},{4,6},{5},{7}}
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => {{1},{2,4},{3},{5,6,7}} => {{1,2,3},{4,6},{5},{7}}
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => {{1},{2,3,4},{5,7},{6}} => {{1,3},{2},{4,5,6},{7}}
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1,2,3},{4,5,6},{7}}
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => {{1,2},{3,4},{5,7},{6}} => {{1,3},{2},{4,5},{6,7}}
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => {{1,2},{3,4},{5,6,7}} => {{1,2,3},{4,5},{6,7}}
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => {{1},{2},{3,4},{5,7},{6}} => {{1,3},{2},{4,5},{6},{7}}
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => {{1,2,3},{4,5},{6},{7}}
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => {{1,3},{2},{4},{5,7},{6}} => {{1,3},{2},{4},{5,7},{6}}
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => {{1,3},{2},{4},{5,6,7}} => {{1,2,3},{4},{5,7},{6}}
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => {{1,2,3},{4},{5,7},{6}} => {{1,3},{2},{4},{5,6,7}}
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}} => {{1,2,3},{4},{5,6,7}}
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => {{1},{2,3},{4},{5,7},{6}} => {{1,3},{2},{4},{5,6},{7}}
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => {{1,2,3},{4},{5,6},{7}}
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => {{1,2},{3},{4},{5,7},{6}} => {{1,3},{2},{4},{5},{6,7}}
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => {{1,2},{3},{4},{5,6,7}} => {{1,2,3},{4},{5},{6,7}}
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => {{1},{2},{3},{4},{5,7},{6}} => {{1,3},{2},{4},{5},{6},{7}}
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1,2,3},{4},{5},{6},{7}}
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => {{1,5},{2,4},{3},{6,7}} => {{1,2},{3,7},{4,6},{5}}
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => {{1,2,4,5},{3},{6,7}} => {{1,2},{3,4,6,7},{5}}
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => {{1,2,3,4,5},{6,7}} => {{1,2},{3,4,5,6,7}}
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => {{1,2,3,4,5},{6,7}} => {{1,2},{3,4,5,6,7}}
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => {{1,3,5},{2,4},{6,7}} => {{1,2},{3,5,7},{4,6}}
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => {{1,2,5},{3,4},{6,7}} => {{1,2},{3,6,7},{4,5}}
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => {{1,2,3,4,5},{6,7}} => {{1,2},{3,4,5,6,7}}
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => {{1,3,5},{2},{4},{6,7}} => {{1,2},{3,5,7},{4},{6}}
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => {{1,2,3,5},{4},{6,7}} => {{1,2},{3,5,6,7},{4}}
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => {{1,4,5},{2,3},{6,7}} => {{1,2},{3,4,7},{5,6}}
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => {{1,2,3,4,5},{6,7}} => {{1,2},{3,4,5,6,7}}
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => {{1,2,4,5},{3},{6,7}} => {{1,2},{3,4,6,7},{5}}
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => {{1,3,4,5},{2},{6,7}} => {{1,2},{3,4,5,7},{6}}
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => {{1,2,3,4,5},{6,7}} => {{1,2},{3,4,5,6,7}}
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => {{1},{2,5},{3,4},{6,7}} => {{1,2},{3,6},{4,5},{7}}
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => {{1},{2,3,4,5},{6,7}} => {{1,2},{3,4,5,6},{7}}
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1,2},{3,5,6},{4},{7}}
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => {{1},{2,4,5},{3},{6,7}} => {{1,2},{3,4,6},{5},{7}}
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}} => {{1,2},{3,4,5,6},{7}}
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => {{1,2},{3,5},{4},{6,7}} => {{1,2},{3,5},{4},{6,7}}
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => {{1,2},{3,4,5},{6,7}} => {{1,2},{3,4,5},{6,7}}
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => {{1},{2},{3,5},{4},{6,7}} => {{1,2},{3,5},{4},{6},{7}}
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1,2},{3,4,5},{6},{7}}
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => {{1,3},{2},{4,5},{6,7}} => {{1,2},{3,4},{5,7},{6}}
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => {{1,2,3},{4,5},{6,7}} => {{1,2},{3,4},{5,6,7}}
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}} => {{1,2},{3,4},{5,6},{7}}
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => {{1,2},{3},{4,5},{6,7}} => {{1,2},{3,4},{5},{6,7}}
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1,2},{3,4},{5},{6},{7}}
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => {{1,4},{2,3},{5},{6,7}} => {{1,2},{3},{4,7},{5,6}}
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => {{1,2,3,4},{5},{6,7}} => {{1,2},{3},{4,5,6,7}}
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => {{1,2,4},{3},{5},{6,7}} => {{1,2},{3},{4,6,7},{5}}
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => {{1,3,4},{2},{5},{6,7}} => {{1,2},{3},{4,5,7},{6}}
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => {{1,2,3,4},{5},{6,7}} => {{1,2},{3},{4,5,6,7}}
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => {{1,2},{3},{4,6},{5},{7}}
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1,2},{3},{4,5,6},{7}}
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => {{1,2},{3,4},{5},{6,7}} => {{1,2},{3},{4,5},{6,7}}
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1,2},{3},{4,5},{6},{7}}
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => {{1,2},{3},{4},{5,7},{6}}
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => {{1,2,3},{4},{5},{6,7}} => {{1,2},{3},{4},{5,6,7}}
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1,2},{3},{4},{5,6},{7}}
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => {{1,2},{3},{4},{5},{6,7}}
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1,2},{3},{4},{5},{6},{7}}
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => {{1,6},{2,5},{3,4},{7}} => {{1},{2,7},{3,6},{4,5}}
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => {{1,2,5,6},{3,4},{7}} => {{1},{2,3,6,7},{4,5}}
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => {{1,2,3,4,5,6},{7}} => {{1},{2,3,4,5,6,7}}
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => {{1,2,3,4,5,6},{7}} => {{1},{2,3,4,5,6,7}}
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => {{1,3,4,6},{2,5},{7}} => {{1},{2,4,5,7},{3,6}}
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => {{1,2,3,5,6},{4},{7}} => {{1},{2,3,5,6,7},{4}}
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => {{1,3,6},{2,5},{4},{7}} => {{1},{2,5,7},{3,6},{4}}
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => {{1,2,3,4,5,6},{7}} => {{1},{2,3,4,5,6,7}}
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => {{1,3,6},{2,4,5},{7}} => {{1},{2,5,7},{3,4,6}}
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => {{1,2,4,5,6},{3},{7}} => {{1},{2,3,4,6,7},{5}}
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => {{1,4,6},{2,5},{3},{7}} => {{1},{2,4,7},{3,6},{5}}
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => {{1,3,4,6},{2,5},{7}} => {{1},{2,4,5,7},{3,6}}
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => {{1},{2,4,7},{3,5,6}}
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => {{1,2,3,4,5,6},{7}} => {{1},{2,3,4,5,6,7}}
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => {{1,2,6},{3,5},{4},{7}} => {{1},{2,6,7},{3,5},{4}}
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => {{1,2,3,5,6},{4},{7}} => {{1},{2,3,5,6,7},{4}}
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => {{1,2,3,4,5,6},{7}} => {{1},{2,3,4,5,6,7}}
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => {{1,2,3,4,5,6},{7}} => {{1},{2,3,4,5,6,7}}
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => {{1,2,4,6},{3,5},{7}} => {{1},{2,4,6,7},{3,5}}
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => {{1,3,6},{2},{4,5},{7}} => {{1},{2,5,7},{3,4},{6}}
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => {{1,3,4,5,6},{2},{7}} => {{1},{2,3,4,5,7},{6}}
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => {{1,2,3,6},{4,5},{7}} => {{1},{2,5,6,7},{3,4}}
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => {{1,2,3,4,5,6},{7}} => {{1},{2,3,4,5,6,7}}
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => {{1,4,6},{2,3},{5},{7}} => {{1},{2,4,7},{3},{5,6}}
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => {{1,2,3,4,6},{5},{7}} => {{1},{2,4,5,6,7},{3}}
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => {{1,2,4,6},{3},{5},{7}} => {{1},{2,4,6,7},{3},{5}}
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => {{1,3,4,6},{2},{5},{7}} => {{1},{2,4,5,7},{3},{6}}
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => {{1,2,3,4,6},{5},{7}} => {{1},{2,4,5,6,7},{3}}
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => {{1,5,6},{2,4},{3},{7}} => {{1},{2,3,7},{4,6},{5}}
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => {{1,2,4,5,6},{3},{7}} => {{1},{2,3,4,6,7},{5}}
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => {{1,2,3,4,5,6},{7}} => {{1},{2,3,4,5,6,7}}
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}} => {{1},{2,3,4,5,6,7}}
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => {{1,3,5,6},{2,4},{7}} => {{1},{2,3,5,7},{4,6}}
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => {{1,2,5,6},{3,4},{7}} => {{1},{2,3,6,7},{4,5}}
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => {{1,2,3,4,5,6},{7}} => {{1},{2,3,4,5,6,7}}
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => {{1,3,5,6},{2},{4},{7}} => {{1},{2,3,5,7},{4},{6}}
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => {{1,2,3,5,6},{4},{7}} => {{1},{2,3,5,6,7},{4}}
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => {{1,4,5,6},{2,3},{7}} => {{1},{2,3,4,7},{5,6}}
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => {{1,2,3,4,5,6},{7}} => {{1},{2,3,4,5,6,7}}
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => {{1,2,4,5,6},{3},{7}} => {{1},{2,3,4,6,7},{5}}
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => {{1,3,4,5,6},{2},{7}} => {{1},{2,3,4,5,7},{6}}
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}} => {{1},{2,3,4,5,6,7}}
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => {{1},{2,6},{3,5},{4},{7}} => {{1},{2,6},{3,5},{4},{7}}
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => {{1},{2,4,6},{3,5},{7}} => {{1},{2,4,6},{3,5},{7}}
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => {{1},{2,3,6},{4,5},{7}} => {{1},{2,5,6},{3,4},{7}}
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => {{1},{2,4,6},{3},{5},{7}} => {{1},{2,4,6},{3},{5},{7}}
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,4,5,6},{3},{7}}
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => {{1},{2,5,6},{3,4},{7}} => {{1},{2,3,6},{4,5},{7}}
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => {{1},{2,4,5,6},{3},{7}} => {{1},{2,3,4,6},{5},{7}}
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => {{1,2},{3,6},{4,5},{7}} => {{1},{2,5},{3,4},{6,7}}
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => {{1,2},{3,4,5,6},{7}} => {{1},{2,3,4,5},{6,7}}
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => {{1,2},{3,4,6},{5},{7}} => {{1},{2,4,5},{3},{6,7}}
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => {{1,2},{3,5,6},{4},{7}} => {{1},{2,3,5},{4},{6,7}}
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => {{1,2},{3,4,5,6},{7}} => {{1},{2,3,4,5},{6,7}}
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => {{1},{2},{3,6},{4,5},{7}} => {{1},{2,5},{3,4},{6},{7}}
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2,3,4,5},{6},{7}}
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2,4,5},{3},{6},{7}}
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => {{1},{2},{3,5,6},{4},{7}} => {{1},{2,3,5},{4},{6},{7}}
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2,3,4,5},{6},{7}}
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => {{1,3},{2},{4,6},{5},{7}} => {{1},{2,4},{3},{5,7},{6}}
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => {{1,3},{2},{4,5,6},{7}} => {{1},{2,3,4},{5,7},{6}}
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => {{1,2,3},{4,6},{5},{7}} => {{1},{2,4},{3},{5,6,7}}
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => {{1,2,3},{4,5,6},{7}} => {{1},{2,3,4},{5,6,7}}
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => {{1},{2,3},{4,6},{5},{7}} => {{1},{2,4},{3},{5,6},{7}}
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => {{1,2},{3},{4,6},{5},{7}} => {{1},{2,4},{3},{5},{6,7}}
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => {{1,2},{3},{4,5,6},{7}} => {{1},{2,3,4},{5},{6,7}}
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => {{1},{2},{3},{4,6},{5},{7}} => {{1},{2,4},{3},{5},{6},{7}}
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => {{1,4},{2,3},{5,6},{7}} => {{1},{2,3},{4,7},{5,6}}
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => {{1,2,3,4},{5,6},{7}} => {{1},{2,3},{4,5,6,7}}
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => {{1,2,4},{3},{5,6},{7}} => {{1},{2,3},{4,6,7},{5}}
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => {{1,3,4},{2},{5,6},{7}} => {{1},{2,3},{4,5,7},{6}}
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => {{1,2,3,4},{5,6},{7}} => {{1},{2,3},{4,5,6,7}}
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => {{1},{2,4},{3},{5,6},{7}} => {{1},{2,3},{4,6},{5},{7}}
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => {{1,2},{3,4},{5,6},{7}} => {{1},{2,3},{4,5},{6,7}}
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => {{1,3},{2},{4},{5,6},{7}} => {{1},{2,3},{4},{5,7},{6}}
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => {{1,2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6,7}}
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => {{1,2},{3},{4},{5,6},{7}} => {{1},{2,3},{4},{5},{6,7}}
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => {{1,5},{2,4},{3},{6},{7}} => {{1},{2},{3,7},{4,6},{5}}
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => {{1,2,4,5},{3},{6},{7}} => {{1},{2},{3,4,6,7},{5}}
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => {{1,2,3,4,5},{6},{7}} => {{1},{2},{3,4,5,6,7}}
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => {{1,2,3,4,5},{6},{7}} => {{1},{2},{3,4,5,6,7}}
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => {{1,3,5},{2,4},{6},{7}} => {{1},{2},{3,5,7},{4,6}}
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => {{1,2,5},{3,4},{6},{7}} => {{1},{2},{3,6,7},{4,5}}
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => {{1,2,3,4,5},{6},{7}} => {{1},{2},{3,4,5,6,7}}
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => {{1,3,5},{2},{4},{6},{7}} => {{1},{2},{3,5,7},{4},{6}}
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => {{1,2,3,5},{4},{6},{7}} => {{1},{2},{3,5,6,7},{4}}
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => {{1,4,5},{2,3},{6},{7}} => {{1},{2},{3,4,7},{5,6}}
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => {{1},{2},{3,4,5,6,7}}
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => {{1,2,4,5},{3},{6},{7}} => {{1},{2},{3,4,6,7},{5}}
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => {{1,3,4,5},{2},{6},{7}} => {{1},{2},{3,4,5,7},{6}}
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => {{1},{2},{3,4,5,6,7}}
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => {{1},{2,5},{3,4},{6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2},{3,4,5,6},{7}}
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2},{3,5,6},{4},{7}}
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => {{1},{2,4,5},{3},{6},{7}} => {{1},{2},{3,4,6},{5},{7}}
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2},{3,4,5,6},{7}}
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => {{1,2},{3,5},{4},{6},{7}} => {{1},{2},{3,5},{4},{6,7}}
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => {{1,2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6,7}}
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => {{1},{2},{3,5},{4},{6},{7}} => {{1},{2},{3,5},{4},{6},{7}}
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => {{1,3},{2},{4,5},{6},{7}} => {{1},{2},{3,4},{5,7},{6}}
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => {{1,2,3},{4,5},{6},{7}} => {{1},{2},{3,4},{5,6,7}}
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => {{1,2},{3},{4,5},{6},{7}} => {{1},{2},{3,4},{5},{6,7}}
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => {{1,4},{2,3},{5},{6},{7}} => {{1},{2},{3},{4,7},{5,6}}
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => {{1},{2},{3},{4,5,6,7}}
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => {{1},{2},{3},{4,6,7},{5}}
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => {{1,3,4},{2},{5},{6},{7}} => {{1},{2},{3},{4,5,7},{6}}
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => {{1},{2},{3},{4,5,6,7}}
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => {{1},{2},{3},{4,6},{5},{7}}
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => {{1,2},{3,4},{5},{6},{7}} => {{1},{2},{3},{4,5},{6,7}}
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5,7},{6}}
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5,6,7}}
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2},{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}} => {{1},{2},{3},{4},{5},{6},{7}}
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => {{1,8},{2,7},{3,6},{4,5}} => {{1,8},{2,7},{3,6},{4,5}}
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => {{1,2,7,8},{3,6},{4,5}} => {{1,2,7,8},{3,6},{4,5}}
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => {{1,2,3,6,7,8},{4,5}} => {{1,2,3,6,7,8},{4,5}}
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => {{1,2,3,6,7,8},{4,5}} => {{1,2,3,6,7,8},{4,5}}
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => {{1,3,6,8},{2,7},{4,5}} => {{1,3,6,8},{2,7},{4,5}}
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => {{1,3,4,5,6,8},{2,7}} => {{1,3,4,5,6,8},{2,7}}
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => {{1,3,6,8},{2,4,5,7}} => {{1,3,6,8},{2,4,5,7}}
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => {{1,3,4,5,6,8},{2,7}} => {{1,3,4,5,6,8},{2,7}}
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => {{1,4,5,8},{2,7},{3,6}} => {{1,4,5,8},{2,7},{3,6}}
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => {{1,4,5,8},{2,3,6,7}} => {{1,4,5,8},{2,3,6,7}}
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7,8},{4}}
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => {{1,3,4,6,8},{2,7},{5}} => {{1,3,5,6,8},{2,7},{4}}
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7,8},{4}}
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => {{1,4,8},{2,7},{3,6},{5}} => {{1,5,8},{2,7},{3,6},{4}}
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [4,6,7,8,5,3,2,1] => {{1,4,8},{2,3,6,7},{5}} => {{1,5,8},{2,3,6,7},{4}}
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [5,4,7,8,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [4,5,7,8,6,3,2,1] => {{1,4,8},{2,3,5,6,7}} => {{1,5,8},{2,3,4,6,7}}
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [5,6,4,8,7,3,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => {{1,4,8},{2,3,5,6,7}} => {{1,5,8},{2,3,4,6,7}}
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => {{1,4,8},{2,5,7},{3,6}} => {{1,5,8},{2,4,7},{3,6}}
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}} => {{1,2,3,4,6,7,8},{5}}
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => {{1,3,5,6,8},{2,7},{4}} => {{1,3,4,6,8},{2,7},{5}}
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => {{1,5,8},{2,7},{3,6},{4}} => {{1,4,8},{2,7},{3,6},{5}}
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}} => {{1,2,3,4,6,7,8},{5}}
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => {{1,5,8},{2,3,6,7},{4}} => {{1,4,8},{2,3,6,7},{5}}
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => {{1,4,5,8},{2,7},{3,6}} => {{1,4,5,8},{2,7},{3,6}}
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => {{1,4,5,8},{2,3,6,7}} => {{1,4,5,8},{2,3,6,7}}
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => {{1,5,8},{2,3,4,6,7}} => {{1,4,8},{2,3,5,6,7}}
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => {{1,5,8},{2,3,4,6,7}} => {{1,4,8},{2,3,5,6,7}}
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => {{1,5,8},{2,4,7},{3,6}} => {{1,4,8},{2,5,7},{3,6}}
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => {{1,2,4,5,7,8},{3,6}}
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => {{1,2,3,7,8},{4,6},{5}} => {{1,2,6,7,8},{3,5},{4}}
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => {{1,3,8},{2,7},{4,6},{5}} => {{1,6,8},{2,7},{3,5},{4}}
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => {{1,3,8},{2,4,6,7},{5}} => {{1,6,8},{2,3,5,7},{4}}
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => {{1,3,4,6,8},{2,7},{5}} => {{1,3,5,6,8},{2,7},{4}}
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => {{1,3,8},{2,4,5,6,7}} => {{1,6,8},{2,3,4,5,7}}
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => {{1,3,4,6,8},{2,5,7}} => {{1,3,5,6,8},{2,4,7}}
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => {{1,3,4,5,6,8},{2,7}} => {{1,3,4,5,6,8},{2,7}}
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => {{1,2,3,5,7,8},{4,6}} => {{1,2,4,6,7,8},{3,5}}
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => {{1,2,3,4,7,8},{5,6}} => {{1,2,5,6,7,8},{3,4}}
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [4,3,7,8,6,5,2,1] => {{1,4,8},{2,3,7},{5,6}} => {{1,5,8},{2,6,7},{3,4}}
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => {{1,3,8},{2,4,7},{5,6}} => {{1,6,8},{2,5,7},{3,4}}
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => {{1,3,5,6,8},{2,4,7}} => {{1,3,4,6,8},{2,5,7}}
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => {{1,2,4,5,7,8},{3},{6}} => {{1,2,4,5,7,8},{3},{6}}
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => {{1,5,8},{2,4,7},{3},{6}} => {{1,4,8},{2,5,7},{3},{6}}
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [4,5,3,7,8,6,2,1] => {{1,2,4,5,7,8},{3},{6}} => {{1,2,4,5,7,8},{3},{6}}
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7,8},{3}}
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [4,3,5,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7,8},{3}}
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7,8},{3}}
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => {{1,3,5,8},{2,4,7},{6}} => {{1,4,6,8},{2,5,7},{3}}
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => {{1,2,5,6,7,8},{3,4}} => {{1,2,3,4,7,8},{5,6}}
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => {{1,5,8},{2,6,7},{3,4}} => {{1,4,8},{2,3,7},{5,6}}
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [4,5,6,3,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [3,6,5,4,8,7,2,1] => {{1,3,5,8},{2,6,7},{4}} => {{1,4,6,8},{2,3,7},{5}}
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => {{1,4,5,8},{2,3,6,7}} => {{1,4,5,8},{2,3,6,7}}
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => {{1,5,8},{2,4,6,7},{3}} => {{1,4,8},{2,3,5,7},{6}}
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => {{1,2,3,4,5,7,8},{6}}
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [4,3,5,6,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => {{1,3,5,8},{2,4,6,7}} => {{1,4,6,8},{2,3,5,7}}
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => {{1,2,6,7,8},{3,5},{4}} => {{1,2,3,7,8},{4,6},{5}}
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => {{1,6,8},{2,7},{3,5},{4}} => {{1,3,8},{2,7},{4,6},{5}}
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => {{1,3,5,6,8},{2,7},{4}} => {{1,3,4,6,8},{2,7},{5}}
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => {{1,6,8},{2,3,5,7},{4}} => {{1,3,8},{2,4,6,7},{5}}
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => {{1,2,3,5,6,7,8},{4}} => {{1,2,3,4,6,7,8},{5}}
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [4,7,6,5,3,8,2,1] => {{1,3,4,5,6,8},{2,7}} => {{1,3,4,5,6,8},{2,7}}
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => {{1,6,8},{2,3,4,5,7}} => {{1,3,8},{2,4,5,6,7}}
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => {{1,3,5,6,8},{2,4,7}} => {{1,3,4,6,8},{2,5,7}}
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => {{1,3,6,8},{2,7},{4,5}} => {{1,3,6,8},{2,7},{4,5}}
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => {{1,3,6,8},{2,4,5,7}} => {{1,3,6,8},{2,4,5,7}}
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => {{1,4,6,8},{2,3,7},{5}} => {{1,3,5,8},{2,6,7},{4}}
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7,8},{4}}
[.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1] => {{1,3,6,8},{2,4,7},{5}} => {{1,3,6,8},{2,5,7},{4}}
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [4,5,3,7,6,8,2,1] => {{1,2,4,5,6,7,8},{3}} => {{1,2,3,4,5,7,8},{6}}
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [4,3,5,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => {{1,3,5,6,8},{2,4,7}} => {{1,3,4,6,8},{2,5,7}}
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => {{1,6,8},{2,5,7},{3,4}} => {{1,3,8},{2,4,7},{5,6}}
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1] => {{1,2,3,5,6,7,8},{4}} => {{1,2,3,4,6,7,8},{5}}
[.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [3,5,6,4,7,8,2,1] => {{1,3,6,8},{2,5,7},{4}} => {{1,3,6,8},{2,4,7},{5}}
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => {{1,3,6,8},{2,4,5,7}} => {{1,3,6,8},{2,4,5,7}}
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => {{1,2,3,4,5,7,8},{6}}
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1] => {{1,3,4,6,8},{2,5,7}} => {{1,3,5,6,8},{2,4,7}}
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => {{1,4,6,8},{2,3,5,7}} => {{1,3,5,8},{2,4,6,7}}
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => {{1,2,8},{3,7},{4,6},{5}} => {{1,7,8},{2,6},{3,5},{4}}
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => {{1,2,3,7,8},{4,6},{5}} => {{1,2,6,7,8},{3,5},{4}}
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7,8},{4}}
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7,8},{4}}
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => {{1,2,4,6,8},{3,7},{5}} => {{1,3,5,7,8},{2,6},{4}}
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => {{1,3,4,5,7,8},{2,6}}
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => {{1,2,5,8},{3,4,6,7}} => {{1,4,7,8},{2,3,5,6}}
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => {{1,2,5,6,7,8},{3,4}}
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => {{1,2,4,8},{3,7},{5,6}} => {{1,5,7,8},{2,6},{3,4}}
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => {{1,2,4,8},{3,5,6,7}} => {{1,5,7,8},{2,3,4,6}}
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => {{1,2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7,8},{3}}
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => {{1,2,5,8},{3,4,7},{6}} => {{1,4,7,8},{2,5,6},{3}}
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7,8},{3}}
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => {{1,2,3,5,6,7,8},{4}} => {{1,2,3,4,6,7,8},{5}}
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => {{1,2,5,8},{3,6,7},{4}} => {{1,4,7,8},{2,3,6},{5}}
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => {{1,2,4,5,8},{3,6,7}} => {{1,4,5,7,8},{2,3,6}}
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => {{1,2,3,6,7,8},{4,5}}
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => {{1,2,4,6,8},{3,7},{5}} => {{1,3,5,7,8},{2,6},{4}}
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7,8},{4}}
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => {{1,2,5,6,8},{3,4,7}} => {{1,3,4,7,8},{2,5,6}}
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => {{1,2,6,8},{3,5,7},{4}} => {{1,3,7,8},{2,4,6},{5}}
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => {{1,2,3,4,6,7,8},{5}}
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => {{1,2,4,6,8},{3,5,7}} => {{1,3,5,7,8},{2,4,6}}
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => {{1,3,8},{2},{4,7},{5,6}} => {{1,6,8},{2,5},{3,4},{7}}
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [3,2,7,8,6,5,4,1] => {{1,3,4,7,8},{2},{5,6}} => {{1,2,5,6,8},{3,4},{7}}
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => {{1,3,4,5,6,7,8},{2}} => {{1,2,3,4,5,6,8},{7}}
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => {{1,3,5,8},{2},{4,7},{6}} => {{1,4,6,8},{2,5},{3},{7}}
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => {{1,3,5,6,8},{2},{4,7}} => {{1,3,4,6,8},{2,5},{7}}
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => {{1,2,3,4,5,6,8},{7}}
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => {{1,2,3,8},{4,7},{5,6}} => {{1,6,7,8},{2,5},{3,4}}
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => {{1,3,4,6,7,8},{2,5}}
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [2,3,5,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7,8},{3}}
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => {{1,2,3,5,8},{4,7},{6}} => {{1,4,6,7,8},{2,5},{3}}
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => {{1,2,3,5,8},{4,6,7}} => {{1,4,6,7,8},{2,3,5}}
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7,8},{4}}
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => {{1,3,4,6,7,8},{2,5}}
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => {{1,4,8},{2,3},{5,7},{6}} => {{1,5,8},{2,4},{3},{6,7}}
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => {{1,4,5,7,8},{2,3},{6}} => {{1,2,4,5,8},{3},{6,7}}
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [4,3,2,6,8,7,5,1] => {{1,4,5,6,7,8},{2,3}} => {{1,2,3,4,5,8},{6,7}}
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => {{1,2,3,4,8},{5,7},{6}} => {{1,5,6,7,8},{2,4},{3}}
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7,8},{3}}
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => {{1,2,4,8},{3},{5,7},{6}} => {{1,5,7,8},{2,4},{3},{6}}
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => {{1,2,3,4,5,7,8},{6}}
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => {{1,2,4,6,8},{3},{5,7}} => {{1,3,5,7,8},{2,4},{6}}
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => {{1,3,4,8},{2},{5,7},{6}} => {{1,5,6,8},{2,4},{3},{7}}
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => {{1,2,3,4,8},{5,7},{6}} => {{1,5,6,7,8},{2,4},{3}}
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7,8},{3}}
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => {{1,3,5,6,7,8},{2,4}}
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => {{1,5,8},{2,4},{3},{6,7}} => {{1,4,8},{2,3},{5,7},{6}}
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => {{1,5,6,7,8},{2,4},{3}} => {{1,2,3,4,8},{5,7},{6}}
[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [4,5,3,2,8,7,6,1] => {{1,2,4,5,8},{3},{6,7}} => {{1,4,5,7,8},{2,3},{6}}
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [4,3,5,2,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => {{1,4,5,6,7,8},{2,3}}
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => {{1,2,3,4,6,8},{5,7}}
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => {{1,2,5,8},{3,4},{6,7}} => {{1,4,7,8},{2,3},{5,6}}
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => {{1,2,5,6,7,8},{3,4}} => {{1,2,3,4,7,8},{5,6}}
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => {{1,4,5,6,7,8},{2,3}}
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => {{1,2,3,4,6,8},{5},{7}}
[.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => {{1,2,3,5,8},{4},{6,7}} => {{1,4,6,7,8},{2,3},{5}}
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => {{1,2,3,4,6,7,8},{5}}
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => {{1,4,5,8},{2,3},{6,7}} => {{1,4,5,8},{2,3},{6,7}}
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => {{1,4,5,6,7,8},{2,3}} => {{1,2,3,4,5,8},{6,7}}
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => {{1,4,5,6,7,8},{2,3}}
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => {{1,2,3,4,5,6,8},{7}}
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => {{1,4,5,6,7,8},{2,3}}
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => {{1,6,8},{2,5},{3,4},{7}} => {{1,3,8},{2},{4,7},{5,6}}
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7,8},{2}}
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7,8},{2}}
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1] => {{1,3,4,6,8},{2,5},{7}} => {{1,3,5,6,8},{2},{4,7}}
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => {{1,2,3,5,6,8},{4},{7}} => {{1,3,4,6,7,8},{2},{5}}
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => {{1,3,6,8},{2,5},{4},{7}} => {{1,3,6,8},{2},{4,7},{5}}
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7,8},{2}}
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => {{1,2,4,5,6,8},{3},{7}} => {{1,3,4,5,7,8},{2},{6}}
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => {{1,4,6,8},{2,5},{3},{7}} => {{1,3,5,8},{2},{4,7},{6}}
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7,8},{2}}
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => {{1,2,6,8},{3,5},{4},{7}} => {{1,3,7,8},{2},{4,6},{5}}
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7,8},{2}}
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => {{1,2,4,6,8},{3,5},{7}} => {{1,3,5,7,8},{2},{4,6}}
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => {{1,3,6,8},{2},{4,5},{7}} => {{1,3,6,8},{2},{4,5},{7}}
[.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7,8},{2}}
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => {{1,4,6,8},{2,3},{5},{7}} => {{1,3,5,8},{2},{4},{6,7}}
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [3,4,2,6,5,8,7,1] => {{1,2,3,4,6,8},{5},{7}} => {{1,3,5,6,7,8},{2},{4}}
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => {{1,2,4,6,8},{3},{5},{7}} => {{1,3,5,7,8},{2},{4},{6}}
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => {{1,3,4,6,8},{2},{5},{7}} => {{1,3,5,6,8},{2},{4},{7}}
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => {{1,2,3,4,6,8},{5},{7}} => {{1,3,5,6,7,8},{2},{4}}
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => {{1,5,6,8},{2,4},{3},{7}} => {{1,3,4,8},{2},{5,7},{6}}
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [2,5,4,3,6,8,7,1] => {{1,2,5,6,8},{3,4},{7}} => {{1,3,4,7,8},{2},{5,6}}
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7,8},{2}}
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => {{1,3,5,6,8},{2},{4},{7}} => {{1,3,4,6,8},{2},{5},{7}}
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => {{1,4,5,6,8},{2,3},{7}} => {{1,3,4,5,8},{2},{6,7}}
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7,8},{2}}
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => {{1,2,4,5,6,8},{3},{7}} => {{1,3,4,5,7,8},{2},{6}}
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => {{1,3,4,5,6,8},{2},{7}} => {{1,3,4,5,6,8},{2},{7}}
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7,8},{2}}
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => {{1,7,8},{2,6},{3,5},{4}} => {{1,2,8},{3,7},{4,6},{5}}
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => {{1,2,6,7,8},{3,5},{4}} => {{1,2,3,7,8},{4,6},{5}}
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => {{1,2,3,4,6,7,8},{5}}
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => {{1,2,3,4,6,7,8},{5}}
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => {{1,3,5,7,8},{2,6},{4}} => {{1,2,4,6,8},{3,7},{5}}
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => {{1,3,4,5,7,8},{2,6}} => {{1,2,4,5,6,8},{3,7}}
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => {{1,4,7,8},{2,6},{3,5}} => {{1,2,5,8},{3,7},{4,6}}
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => {{1,4,7,8},{2,3,5,6}} => {{1,2,5,8},{3,4,6,7}}
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => {{1,3,7,8},{2,4,5,6}} => {{1,2,6,8},{3,4,5,7}}
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7,8},{4}}
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [4,3,6,7,5,2,8,1] => {{1,4,7,8},{2,3,6},{5}} => {{1,2,5,8},{3,6,7},{4}}
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1] => {{1,3,7,8},{2,4,6},{5}} => {{1,2,6,8},{3,5,7},{4}}
[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7,8},{4}}
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => {{1,2,4,5,6,7,8},{3}} => {{1,2,3,4,5,7,8},{6}}
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => {{1,3,4,7,8},{2,5,6}} => {{1,2,5,6,8},{3,4,7}}
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => {{1,2,3,4,7,8},{5,6}}
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => {{1,2,4,5,6,8},{3,7}}
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => {{1,5,7,8},{2,3,4,6}} => {{1,2,4,8},{3,5,6,7}}
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => {{1,3,5,7,8},{2,6},{4}} => {{1,2,4,6,8},{3,7},{5}}
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => {{1,2,3,4,6,7,8},{5}}
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => {{1,4,5,7,8},{2,3,6}} => {{1,2,4,5,8},{3,6,7}}
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => {{1,5,7,8},{2,4,6},{3}} => {{1,2,4,8},{3,5,7},{6}}
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => {{1,2,3,4,5,7,8},{6}}
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => {{1,3,5,7,8},{2,4,6}} => {{1,2,4,6,8},{3,5,7}}
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => {{1,2,7,8},{3,6},{4,5}} => {{1,2,7,8},{3,6},{4,5}}
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => {{1,2,4,5,7,8},{3,6}}
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => {{1,2,4,7,8},{3,6},{5}} => {{1,2,5,7,8},{3,6},{4}}
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => {{1,2,4,5,7,8},{3,6}}
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => {{1,2,5,7,8},{3,4,6}} => {{1,2,4,7,8},{3,5,6}}
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => {{1,3,7,8},{2},{4,6},{5}} => {{1,2,6,8},{3,5},{4},{7}}
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => {{1,3,4,6,7,8},{2},{5}} => {{1,2,3,5,6,8},{4},{7}}
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => {{1,2,3,4,5,6,8},{7}}
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => {{1,2,3,4,5,6,8},{7}}
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => {{1,3,5,7,8},{2},{4,6}} => {{1,2,4,6,8},{3,5},{7}}
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => {{1,2,3,7,8},{4,6},{5}} => {{1,2,6,7,8},{3,5},{4}}
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => {{1,2,4,6,7,8},{3,5}}
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => {{1,4,7,8},{2,3},{5,6}} => {{1,2,5,8},{3,4},{6,7}}
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [4,3,2,6,7,5,8,1] => {{1,4,5,6,7,8},{2,3}} => {{1,2,3,4,5,8},{6,7}}
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [3,4,2,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => {{1,2,5,6,7,8},{3,4}}
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => {{1,2,4,7,8},{3},{5,6}} => {{1,2,5,7,8},{3,4},{6}}
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => {{1,2,3,4,5,7,8},{6}}
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => {{1,3,4,7,8},{2},{5,6}} => {{1,2,5,6,8},{3,4},{7}}
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => {{1,2,5,6,7,8},{3,4}}
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => {{1,5,7,8},{2,4},{3},{6}} => {{1,2,4,8},{3},{5,7},{6}}
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7,8},{3}}
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7,8},{3}}
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => {{1,3,5,7,8},{2,4},{6}} => {{1,2,4,6,8},{3},{5,7}}
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [2,5,4,3,7,6,8,1] => {{1,2,5,7,8},{3,4},{6}} => {{1,2,4,7,8},{3},{5,6}}
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => {{1,3,5,7,8},{2},{4},{6}} => {{1,2,4,6,8},{3},{5},{7}}
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => {{1,2,3,5,7,8},{4},{6}} => {{1,2,4,6,7,8},{3},{5}}
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => {{1,4,5,7,8},{2,3},{6}} => {{1,2,4,5,8},{3},{6,7}}
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7,8},{3}}
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => {{1,2,4,5,7,8},{3},{6}} => {{1,2,4,5,7,8},{3},{6}}
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => {{1,3,4,5,7,8},{2},{6}} => {{1,2,4,5,6,8},{3},{7}}
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7,8},{3}}
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => {{1,6,7,8},{2,5},{3,4}} => {{1,2,3,8},{4,7},{5,6}}
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => {{1,2,3,5,6,8},{4,7}}
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [3,6,5,4,2,7,8,1] => {{1,2,3,5,6,7,8},{4}} => {{1,2,3,4,6,7,8},{5}}
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => {{1,3,6,7,8},{2,5},{4}} => {{1,2,3,6,8},{4,7},{5}}
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => {{1,3,6,7,8},{2,4,5}} => {{1,2,3,6,8},{4,5,7}}
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => {{1,2,3,4,5,7,8},{6}}
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => {{1,2,3,5,6,8},{4,7}}
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => {{1,4,6,7,8},{2,3,5}} => {{1,2,3,5,8},{4,6,7}}
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => {{1,2,6,7,8},{3,5},{4}} => {{1,2,3,7,8},{4,6},{5}}
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => {{1,2,3,4,6,7,8},{5}}
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => {{1,2,3,5,7,8},{4,6}}
[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => {{1,2,3,4,5,6,8},{7}}
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => {{1,2,3,6,7,8},{4,5}}
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [4,3,2,6,5,7,8,1] => {{1,4,6,7,8},{2,3},{5}} => {{1,2,3,5,8},{4},{6,7}}
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7,8},{4}}
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => {{1,2,4,6,7,8},{3},{5}} => {{1,2,3,5,7,8},{4},{6}}
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7,8},{4}}
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => {{1,5,6,7,8},{2,4},{3}} => {{1,2,3,4,8},{5,7},{6}}
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => {{1,2,3,4,5,7,8},{6}}
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => {{1,2,3,4,6,8},{5,7}}
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => {{1,2,3,4,7,8},{5,6}}
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => {{1,2,3,4,6,8},{5},{7}}
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => {{1,2,3,4,6,7,8},{5}}
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => {{1,2,3,4,5,8},{6,7}}
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => {{1,2,3,4,5,7,8},{6}}
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => {{1,2,3,4,5,6,8},{7}}
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => {{1},{2,8},{3,7},{4,6},{5}} => {{1,7},{2,6},{3,5},{4},{8}}
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => {{1},{2,3,7,8},{4,6},{5}} => {{1,2,6,7},{3,5},{4},{8}}
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => {{1},{2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7},{4},{8}}
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => {{1},{2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7},{4},{8}}
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => {{1},{2,4,6,8},{3,7},{5}} => {{1,3,5,7},{2,6},{4},{8}}
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => {{1},{2,4,6,8},{3,5,7}} => {{1,3,5,7},{2,4,6},{8}}
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => {{1},{2,4,5,6,8},{3,7}} => {{1,3,4,5,7},{2,6},{8}}
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => {{1},{2,5,8},{3,7},{4,6}} => {{1,4,7},{2,6},{3,5},{8}}
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => {{1},{2,5,8},{3,4,6,7}} => {{1,4,7},{2,3,5,6},{8}}
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => {{1},{2,3,4,7,8},{5,6}} => {{1,2,5,6,7},{3,4},{8}}
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => {{1},{2,4,8},{3,7},{5,6}} => {{1,5,7},{2,6},{3,4},{8}}
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => {{1},{2,4,8},{3,5,6,7}} => {{1,5,7},{2,3,4,6},{8}}
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => {{1},{2,5,8},{3,4,7},{6}} => {{1,4,7},{2,5,6},{3},{8}}
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => {{1},{2,4,5,8},{3,6,7}} => {{1,4,5,7},{2,3,6},{8}}
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => {{1},{2,3,6,7,8},{4,5}} => {{1,2,3,6,7},{4,5},{8}}
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => {{1},{2,4,6,8},{3,7},{5}} => {{1,3,5,7},{2,6},{4},{8}}
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => {{1},{2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7},{4},{8}}
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => {{1},{2,6,8},{3,5,7},{4}} => {{1,3,7},{2,4,6},{5},{8}}
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,5,6,4,7,8,3,2] => {{1},{2,3,5,6,7,8},{4}} => {{1,2,3,4,6,7},{5},{8}}
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => {{1},{2,4,6,8},{3,5,7}} => {{1,3,5,7},{2,4,6},{8}}
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => {{1},{2,3,8},{4,7},{5,6}} => {{1,6,7},{2,5},{3,4},{8}}
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => {{1},{2,3,4,7,8},{5,6}} => {{1,2,5,6,7},{3,4},{8}}
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => {{1},{2,3,5,6,8},{4,7}} => {{1,3,4,6,7},{2,5},{8}}
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => {{1},{2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7},{3},{8}}
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => {{1},{2,3,5,8},{4,7},{6}} => {{1,4,6,7},{2,5},{3},{8}}
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => {{1},{2,3,5,8},{4,6,7}} => {{1,4,6,7},{2,3,5},{8}}
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => {{1},{2,3,6,8},{4,7},{5}} => {{1,3,6,7},{2,5},{4},{8}}
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => {{1},{2,3,6,8},{4,5,7}} => {{1,3,6,7},{2,4,5},{8}}
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => {{1},{2,4,8},{3},{5,7},{6}} => {{1,5,7},{2,4},{3},{6},{8}}
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => {{1},{2,4,5,7,8},{3},{6}} => {{1,2,4,5,7},{3},{6},{8}}
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => {{1},{2,4,5,6,7,8},{3}} => {{1,2,3,4,5,7},{6},{8}}
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => {{1},{2,4,5,6,7,8},{3}} => {{1,2,3,4,5,7},{6},{8}}
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => {{1},{2,4,6,8},{3},{5,7}} => {{1,3,5,7},{2,4},{6},{8}}
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => {{1},{2,3,4,8},{5,7},{6}} => {{1,5,6,7},{2,4},{3},{8}}
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => {{1},{2,3,4,6,8},{5,7}} => {{1,3,5,6,7},{2,4},{8}}
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => {{1},{2,5,8},{3,4},{6,7}} => {{1,4,7},{2,3},{5,6},{8}}
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => {{1},{2,3,4,5,8},{6,7}} => {{1,4,5,6,7},{2,3},{8}}
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,3,5,4,8,7,6,2] => {{1},{2,3,5,8},{4},{6,7}} => {{1,4,6,7},{2,3},{5},{8}}
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => {{1},{2,4,5,8},{3},{6,7}} => {{1,4,5,7},{2,3},{6},{8}}
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => {{1},{2,4,5,6,7,8},{3}} => {{1,2,3,4,5,7},{6},{8}}
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => {{1},{2,3,4,5,8},{6,7}} => {{1,4,5,6,7},{2,3},{8}}
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => {{1},{2,6,8},{3,5},{4},{7}} => {{1,3,7},{2},{4,6},{5},{8}}
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => {{1},{2,3,5,6,8},{4},{7}} => {{1,3,4,6,7},{2},{5},{8}}
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => {{1},{2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7},{2},{8}}
[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => {{1},{2,4,6,8},{3,5},{7}} => {{1,3,5,7},{2},{4,6},{8}}
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => {{1},{2,3,6,8},{4,5},{7}} => {{1,3,6,7},{2},{4,5},{8}}
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => {{1},{2,4,6,8},{3},{5},{7}} => {{1,3,5,7},{2},{4},{6},{8}}
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => {{1},{2,5,6,8},{3,4},{7}} => {{1,3,4,7},{2},{5,6},{8}}
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => {{1},{2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7},{2},{8}}
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => {{1},{2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7},{2},{8}}
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => {{1},{2,7,8},{3,6},{4,5}} => {{1,2,7},{3,6},{4,5},{8}}
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => {{1},{2,3,6,7,8},{4,5}} => {{1,2,3,6,7},{4,5},{8}}
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,5,6,7,4,3,8,2] => {{1},{2,4,5,7,8},{3,6}} => {{1,2,4,5,7},{3,6},{8}}
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => {{1},{2,4,7,8},{3,6},{5}} => {{1,2,5,7},{3,6},{4},{8}}
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => {{1},{2,5,7,8},{3,6},{4}} => {{1,2,4,7},{3,6},{5},{8}}
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => {{1},{2,4,5,7,8},{3,6}} => {{1,2,4,5,7},{3,6},{8}}
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => {{1},{2,3,5,7,8},{4,6}} => {{1,2,4,6,7},{3,5},{8}}
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => {{1},{2,3,4,7,8},{5,6}} => {{1,2,5,6,7},{3,4},{8}}
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => {{1},{2,3,5,7,8},{4},{6}} => {{1,2,4,6,7},{3},{5},{8}}
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => {{1},{2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7},{3},{8}}
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => {{1},{2,4,6,7,8},{3},{5}} => {{1,2,3,5,7},{4},{6},{8}}
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => {{1},{2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7},{4},{8}}
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => {{1},{2,5,6,7,8},{3,4}} => {{1,2,3,4,7},{5,6},{8}}
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => {{1},{2,4,5,6,7,8},{3}} => {{1,2,3,4,5,7},{6},{8}}
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}}
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => {{1,2},{3,8},{4,7},{5,6}} => {{1,6},{2,5},{3,4},{7,8}}
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => {{1,2},{3,4,7,8},{5,6}} => {{1,2,5,6},{3,4},{7,8}}
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => {{1,2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7,8}}
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => {{1,2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7,8}}
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => {{1,2},{3,5,6,8},{4,7}} => {{1,3,4,6},{2,5},{7,8}}
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => {{1,2},{3,4,5,7,8},{6}} => {{1,2,4,5,6},{3},{7,8}}
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => {{1,2},{3,5,8},{4,7},{6}} => {{1,4,6},{2,5},{3},{7,8}}
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => {{1,2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7,8}}
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => {{1,2},{3,5,8},{4,6,7}} => {{1,4,6},{2,3,5},{7,8}}
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => {{1,2},{3,4,6,7,8},{5}} => {{1,2,3,5,6},{4},{7,8}}
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => {{1,2},{3,6,8},{4,7},{5}} => {{1,3,6},{2,5},{4},{7,8}}
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => {{1,2},{3,5,6,8},{4,7}} => {{1,3,4,6},{2,5},{7,8}}
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => {{1,2},{3,6,8},{4,5,7}} => {{1,3,6},{2,4,5},{7,8}}
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => {{1,2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7,8}}
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => {{1,2},{3,4,8},{5,7},{6}} => {{1,5,6},{2,4},{3},{7,8}}
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => {{1,2},{3,4,5,7,8},{6}} => {{1,2,4,5,6},{3},{7,8}}
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => {{1,2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7,8}}
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => {{1,2},{3,4,6,8},{5,7}} => {{1,3,5,6},{2,4},{7,8}}
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => {{1,2},{3,5,8},{4},{6,7}} => {{1,4,6},{2,3},{5},{7,8}}
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => {{1,2},{3,5,6,7,8},{4}} => {{1,2,3,4,6},{5},{7,8}}
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => {{1,2},{3,4,5,8},{6,7}} => {{1,4,5,6},{2,3},{7,8}}
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => {{1,2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7,8}}
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => {{1,2},{3,4,5,6,8},{7}} => {{1,3,4,5,6},{2},{7,8}}
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => {{1,2},{3,4,6,8},{5},{7}} => {{1,3,5,6},{2},{4},{7,8}}
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => {{1,2},{3,4,5,6,8},{7}} => {{1,3,4,5,6},{2},{7,8}}
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => {{1,2},{3,7,8},{4,6},{5}} => {{1,2,6},{3,5},{4},{7,8}}
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => {{1,2},{3,4,6,7,8},{5}} => {{1,2,3,5,6},{4},{7,8}}
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => {{1,2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7,8}}
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => {{1,2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7,8}}
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => {{1,2},{3,5,7,8},{4,6}} => {{1,2,4,6},{3,5},{7,8}}
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => {{1,2},{3,4,7,8},{5,6}} => {{1,2,5,6},{3,4},{7,8}}
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => {{1,2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7,8}}
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => {{1,2},{3,5,7,8},{4},{6}} => {{1,2,4,6},{3},{5},{7,8}}
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => {{1,2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7,8}}
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => {{1,2},{3,5,6,7,8},{4}} => {{1,2,3,4,6},{5},{7,8}}
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => {{1,2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7,8}}
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => {{1},{2},{3,8},{4,7},{5,6}} => {{1,6},{2,5},{3,4},{7},{8}}
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => {{1},{2},{3,4,7,8},{5,6}} => {{1,2,5,6},{3,4},{7},{8}}
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,2,7,6,8,5,4,3] => {{1},{2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7},{8}}
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => {{1},{2},{3,5,6,8},{4,7}} => {{1,3,4,6},{2,5},{7},{8}}
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,2,5,8,7,6,4,3] => {{1},{2},{3,4,5,7,8},{6}} => {{1,2,4,5,6},{3},{7},{8}}
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => {{1},{2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7},{8}}
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => {{1},{2},{3,5,8},{4,6,7}} => {{1,4,6},{2,3,5},{7},{8}}
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => {{1},{2},{3,4,6,7,8},{5}} => {{1,2,3,5,6},{4},{7},{8}}
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => {{1},{2},{3,5,6,8},{4,7}} => {{1,3,4,6},{2,5},{7},{8}}
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => {{1},{2},{3,6,8},{4,5,7}} => {{1,3,6},{2,4,5},{7},{8}}
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => {{1},{2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7},{8}}
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => {{1},{2},{3,4,8},{5,7},{6}} => {{1,5,6},{2,4},{3},{7},{8}}
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => {{1},{2},{3,4,5,7,8},{6}} => {{1,2,4,5,6},{3},{7},{8}}
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => {{1},{2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7},{8}}
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => {{1},{2},{3,4,6,8},{5,7}} => {{1,3,5,6},{2,4},{7},{8}}
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => {{1},{2},{3,5,8},{4},{6,7}} => {{1,4,6},{2,3},{5},{7},{8}}
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,2,5,4,7,8,6,3] => {{1},{2},{3,5,6,7,8},{4}} => {{1,2,3,4,6},{5},{7},{8}}
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => {{1},{2},{3,4,5,8},{6,7}} => {{1,4,5,6},{2,3},{7},{8}}
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => {{1},{2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7},{8}}
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => {{1},{2},{3,6,8},{4,5},{7}} => {{1,3,6},{2},{4,5},{7},{8}}
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,2,4,6,5,8,7,3] => {{1},{2},{3,4,6,8},{5},{7}} => {{1,3,5,6},{2},{4},{7},{8}}
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => {{1},{2},{3,5,6,8},{4},{7}} => {{1,3,4,6},{2},{5},{7},{8}}
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => {{1},{2},{3,4,5,6,8},{7}} => {{1,3,4,5,6},{2},{7},{8}}
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => {{1},{2},{3,7,8},{4,6},{5}} => {{1,2,6},{3,5},{4},{7},{8}}
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => {{1},{2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7},{8}}
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => {{1},{2},{3,5,7,8},{4,6}} => {{1,2,4,6},{3,5},{7},{8}}
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => {{1},{2},{3,4,7,8},{5,6}} => {{1,2,5,6},{3,4},{7},{8}}
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => {{1},{2},{3,5,7,8},{4},{6}} => {{1,2,4,6},{3},{5},{7},{8}}
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => {{1},{2},{3,6,7,8},{4,5}} => {{1,2,3,6},{4,5},{7},{8}}
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => {{1},{2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7},{8}}
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => {{1},{2},{3,5,6,7,8},{4}} => {{1,2,3,4,6},{5},{7},{8}}
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => {{1},{2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7},{8}}
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => {{1,3},{2},{4,8},{5,7},{6}} => {{1,5},{2,4},{3},{6,8},{7}}
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => {{1,3},{2},{4,5,7,8},{6}} => {{1,2,4,5},{3},{6,8},{7}}
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => {{1,3},{2},{4,5,6,7,8}} => {{1,2,3,4,5},{6,8},{7}}
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => {{1,3},{2},{4,5,6,7,8}} => {{1,2,3,4,5},{6,8},{7}}
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => {{1,3},{2},{4,6,8},{5,7}} => {{1,3,5},{2,4},{6,8},{7}}
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => {{1,3},{2},{4,5,8},{6,7}} => {{1,4,5},{2,3},{6,8},{7}}
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => {{1,3},{2},{4,5,6,7,8}} => {{1,2,3,4,5},{6,8},{7}}
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => {{1,3},{2},{4,6,8},{5},{7}} => {{1,3,5},{2},{4},{6,8},{7}}
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => {{1,3},{2},{4,5,6,8},{7}} => {{1,3,4,5},{2},{6,8},{7}}
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => {{1,3},{2},{4,7,8},{5,6}} => {{1,2,5},{3,4},{6,8},{7}}
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => {{1,3},{2},{4,5,6,7,8}} => {{1,2,3,4,5},{6,8},{7}}
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => {{1,3},{2},{4,5,7,8},{6}} => {{1,2,4,5},{3},{6,8},{7}}
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => {{1,3},{2},{4,6,7,8},{5}} => {{1,2,3,5},{4},{6,8},{7}}
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => {{1,3},{2},{4,5,6,7,8}} => {{1,2,3,4,5},{6,8},{7}}
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => {{1,2,3},{4,8},{5,7},{6}} => {{1,5},{2,4},{3},{6,7,8}}
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [2,3,1,7,8,6,5,4] => {{1,2,3},{4,5,7,8},{6}} => {{1,2,4,5},{3},{6,7,8}}
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => {{1,2,3},{4,5,6,7,8}} => {{1,2,3,4,5},{6,7,8}}
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => {{1,2,3},{4,5,6,7,8}} => {{1,2,3,4,5},{6,7,8}}
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => {{1,2,3},{4,6,8},{5,7}} => {{1,3,5},{2,4},{6,7,8}}
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => {{1,2,3},{4,5,6,7,8}} => {{1,2,3,4,5},{6,7,8}}
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => {{1,2,3},{4,6,8},{5},{7}} => {{1,3,5},{2},{4},{6,7,8}}
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => {{1,2,3},{4,5,6,7,8}} => {{1,2,3,4,5},{6,7,8}}
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => {{1,2,3},{4,5,7,8},{6}} => {{1,2,4,5},{3},{6,7,8}}
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => {{1,2,3},{4,5,6,7,8}} => {{1,2,3,4,5},{6,7,8}}
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => {{1},{2,3},{4,8},{5,7},{6}} => {{1,5},{2,4},{3},{6,7},{8}}
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => {{1},{2,3},{4,5,6,7,8}} => {{1,2,3,4,5},{6,7},{8}}
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => {{1},{2,3},{4,5,6,7,8}} => {{1,2,3,4,5},{6,7},{8}}
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => {{1},{2,3},{4,6,8},{5,7}} => {{1,3,5},{2,4},{6,7},{8}}
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => {{1},{2,3},{4,5,8},{6,7}} => {{1,4,5},{2,3},{6,7},{8}}
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => {{1},{2,3},{4,5,6,7,8}} => {{1,2,3,4,5},{6,7},{8}}
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => {{1},{2,3},{4,6,8},{5},{7}} => {{1,3,5},{2},{4},{6,7},{8}}
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => {{1},{2,3},{4,7,8},{5,6}} => {{1,2,5},{3,4},{6,7},{8}}
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => {{1},{2,3},{4,5,6,7,8}} => {{1,2,3,4,5},{6,7},{8}}
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => {{1},{2,3},{4,6,7,8},{5}} => {{1,2,3,5},{4},{6,7},{8}}
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => {{1},{2,3},{4,5,6,7,8}} => {{1,2,3,4,5},{6,7},{8}}
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => {{1,2},{3},{4,8},{5,7},{6}} => {{1,5},{2,4},{3},{6},{7,8}}
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => {{1,2},{3},{4,5,7,8},{6}} => {{1,2,4,5},{3},{6},{7,8}}
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => {{1,2},{3},{4,5,6,7,8}} => {{1,2,3,4,5},{6},{7,8}}
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => {{1,2},{3},{4,6,8},{5,7}} => {{1,3,5},{2,4},{6},{7,8}}
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => {{1,2},{3},{4,6,8},{5},{7}} => {{1,3,5},{2},{4},{6},{7,8}}
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => {{1,2},{3},{4,5,6,7,8}} => {{1,2,3,4,5},{6},{7,8}}
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => {{1},{2},{3},{4,8},{5,7},{6}} => {{1,5},{2,4},{3},{6},{7},{8}}
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => {{1},{2},{3},{4,5,7,8},{6}} => {{1,2,4,5},{3},{6},{7},{8}}
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => {{1},{2},{3},{4,5,6,7,8}} => {{1,2,3,4,5},{6},{7},{8}}
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => {{1},{2},{3},{4,5,6,7,8}} => {{1,2,3,4,5},{6},{7},{8}}
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => {{1},{2},{3},{4,6,8},{5,7}} => {{1,3,5},{2,4},{6},{7},{8}}
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => {{1},{2},{3},{4,5,8},{6,7}} => {{1,4,5},{2,3},{6},{7},{8}}
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => {{1},{2},{3},{4,5,6,7,8}} => {{1,2,3,4,5},{6},{7},{8}}
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => {{1},{2},{3},{4,6,8},{5},{7}} => {{1,3,5},{2},{4},{6},{7},{8}}
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => {{1},{2},{3},{4,5,6,8},{7}} => {{1,3,4,5},{2},{6},{7},{8}}
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => {{1},{2},{3},{4,7,8},{5,6}} => {{1,2,5},{3,4},{6},{7},{8}}
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => {{1},{2},{3},{4,5,6,7,8}} => {{1,2,3,4,5},{6},{7},{8}}
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => {{1},{2},{3},{4,5,7,8},{6}} => {{1,2,4,5},{3},{6},{7},{8}}
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => {{1},{2},{3},{4,6,7,8},{5}} => {{1,2,3,5},{4},{6},{7},{8}}
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => {{1},{2},{3},{4,5,6,7,8}} => {{1,2,3,4,5},{6},{7},{8}}
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => {{1,4},{2,3},{5,8},{6,7}} => {{1,4},{2,3},{5,8},{6,7}}
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => {{1,4},{2,3},{5,6,7,8}} => {{1,2,3,4},{5,8},{6,7}}
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => {{1,4},{2,3},{5,6,8},{7}} => {{1,3,4},{2},{5,8},{6,7}}
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => {{1,4},{2,3},{5,7,8},{6}} => {{1,2,4},{3},{5,8},{6,7}}
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => {{1,4},{2,3},{5,6,7,8}} => {{1,2,3,4},{5,8},{6,7}}
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => {{1,2,3,4},{5,8},{6,7}} => {{1,4},{2,3},{5,6,7,8}}
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => {{1,2,3,4},{5,6,7,8}} => {{1,2,3,4},{5,6,7,8}}
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => {{1,2,3,4},{5,6,8},{7}} => {{1,3,4},{2},{5,6,7,8}}
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => {{1,2,3,4},{5,7,8},{6}} => {{1,2,4},{3},{5,6,7,8}}
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => {{1,2,3,4},{5,6,7,8}} => {{1,2,3,4},{5,6,7,8}}
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => {{1,2,4},{3},{5,8},{6,7}} => {{1,4},{2,3},{5,7,8},{6}}
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => {{1,2,4},{3},{5,6,7,8}} => {{1,2,3,4},{5,7,8},{6}}
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => {{1,2,4},{3},{5,6,8},{7}} => {{1,3,4},{2},{5,7,8},{6}}
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => {{1,2,4},{3},{5,7,8},{6}} => {{1,2,4},{3},{5,7,8},{6}}
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => {{1,2,4},{3},{5,6,7,8}} => {{1,2,3,4},{5,7,8},{6}}
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => {{1,3,4},{2},{5,8},{6,7}} => {{1,4},{2,3},{5,6,8},{7}}
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => {{1,3,4},{2},{5,6,7,8}} => {{1,2,3,4},{5,6,8},{7}}
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => {{1,3,4},{2},{5,6,8},{7}} => {{1,3,4},{2},{5,6,8},{7}}
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => {{1,3,4},{2},{5,7,8},{6}} => {{1,2,4},{3},{5,6,8},{7}}
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => {{1,3,4},{2},{5,6,7,8}} => {{1,2,3,4},{5,6,8},{7}}
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => {{1,2,3,4},{5,8},{6,7}} => {{1,4},{2,3},{5,6,7,8}}
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => {{1,2,3,4},{5,6,7,8}} => {{1,2,3,4},{5,6,7,8}}
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => {{1,2,3,4},{5,6,8},{7}} => {{1,3,4},{2},{5,6,7,8}}
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => {{1,2,3,4},{5,7,8},{6}} => {{1,2,4},{3},{5,6,7,8}}
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => {{1,2,3,4},{5,6,7,8}} => {{1,2,3,4},{5,6,7,8}}
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => {{1},{2,4},{3},{5,8},{6,7}} => {{1,4},{2,3},{5,7},{6},{8}}
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => {{1},{2,4},{3},{5,6,8},{7}} => {{1,3,4},{2},{5,7},{6},{8}}
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => {{1},{2,4},{3},{5,7,8},{6}} => {{1,2,4},{3},{5,7},{6},{8}}
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => {{1},{2,4},{3},{5,6,7,8}} => {{1,2,3,4},{5,7},{6},{8}}
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => {{1},{2,3,4},{5,8},{6,7}} => {{1,4},{2,3},{5,6,7},{8}}
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => {{1},{2,3,4},{5,6,7,8}} => {{1,2,3,4},{5,6,7},{8}}
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => {{1},{2,3,4},{5,6,8},{7}} => {{1,3,4},{2},{5,6,7},{8}}
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => {{1},{2,3,4},{5,7,8},{6}} => {{1,2,4},{3},{5,6,7},{8}}
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => {{1},{2,3,4},{5,6,7,8}} => {{1,2,3,4},{5,6,7},{8}}
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => {{1,2},{3,4},{5,8},{6,7}} => {{1,4},{2,3},{5,6},{7,8}}
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => {{1,2},{3,4},{5,6,7,8}} => {{1,2,3,4},{5,6},{7,8}}
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => {{1,2},{3,4},{5,6,8},{7}} => {{1,3,4},{2},{5,6},{7,8}}
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => {{1,2},{3,4},{5,7,8},{6}} => {{1,2,4},{3},{5,6},{7,8}}
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => {{1,2},{3,4},{5,6,7,8}} => {{1,2,3,4},{5,6},{7,8}}
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => {{1},{2},{3,4},{5,8},{6,7}} => {{1,4},{2,3},{5,6},{7},{8}}
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => {{1},{2},{3,4},{5,6,7,8}} => {{1,2,3,4},{5,6},{7},{8}}
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => {{1},{2},{3,4},{5,6,8},{7}} => {{1,3,4},{2},{5,6},{7},{8}}
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => {{1},{2},{3,4},{5,7,8},{6}} => {{1,2,4},{3},{5,6},{7},{8}}
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => {{1},{2},{3,4},{5,6,7,8}} => {{1,2,3,4},{5,6},{7},{8}}
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => {{1,3},{2},{4},{5,8},{6,7}} => {{1,4},{2,3},{5},{6,8},{7}}
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => {{1,3},{2},{4},{5,6,7,8}} => {{1,2,3,4},{5},{6,8},{7}}
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => {{1,3},{2},{4},{5,6,8},{7}} => {{1,3,4},{2},{5},{6,8},{7}}
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => {{1,3},{2},{4},{5,7,8},{6}} => {{1,2,4},{3},{5},{6,8},{7}}
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => {{1,3},{2},{4},{5,6,7,8}} => {{1,2,3,4},{5},{6,8},{7}}
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => {{1,2,3},{4},{5,8},{6,7}} => {{1,4},{2,3},{5},{6,7,8}}
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => {{1,2,3},{4},{5,6,7,8}} => {{1,2,3,4},{5},{6,7,8}}
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => {{1,2,3},{4},{5,7,8},{6}} => {{1,2,4},{3},{5},{6,7,8}}
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => {{1,2,3},{4},{5,6,7,8}} => {{1,2,3,4},{5},{6,7,8}}
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => {{1},{2,3},{4},{5,8},{6,7}} => {{1,4},{2,3},{5},{6,7},{8}}
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => {{1},{2,3},{4},{5,7,8},{6}} => {{1,2,4},{3},{5},{6,7},{8}}
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => {{1},{2,3},{4},{5,6,7,8}} => {{1,2,3,4},{5},{6,7},{8}}
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => {{1,2},{3},{4},{5,8},{6,7}} => {{1,4},{2,3},{5},{6},{7,8}}
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => {{1,2},{3},{4},{5,6,7,8}} => {{1,2,3,4},{5},{6},{7,8}}
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => {{1,2},{3},{4},{5,7,8},{6}} => {{1,2,4},{3},{5},{6},{7,8}}
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => {{1,2},{3},{4},{5,6,7,8}} => {{1,2,3,4},{5},{6},{7,8}}
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => {{1},{2},{3},{4},{5,8},{6,7}} => {{1,4},{2,3},{5},{6},{7},{8}}
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => {{1},{2},{3},{4},{5,6,7,8}} => {{1,2,3,4},{5},{6},{7},{8}}
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => {{1},{2},{3},{4},{5,6,8},{7}} => {{1,3,4},{2},{5},{6},{7},{8}}
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => {{1},{2},{3},{4},{5,7,8},{6}} => {{1,2,4},{3},{5},{6},{7},{8}}
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => {{1},{2},{3},{4},{5,6,7,8}} => {{1,2,3,4},{5},{6},{7},{8}}
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => {{1,5},{2,4},{3},{6,8},{7}} => {{1,3},{2},{4,8},{5,7},{6}}
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => {{1,5},{2,4},{3},{6,7,8}} => {{1,2,3},{4,8},{5,7},{6}}
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => {{1,2,4,5},{3},{6,8},{7}} => {{1,3},{2},{4,5,7,8},{6}}
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => {{1,2,3,4,5},{6,8},{7}} => {{1,3},{2},{4,5,6,7,8}}
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => {{1,2,3,4,5},{6,7,8}} => {{1,2,3},{4,5,6,7,8}}
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => {{1,2,3,4,5},{6,8},{7}} => {{1,3},{2},{4,5,6,7,8}}
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => {{1,3,5},{2,4},{6,8},{7}} => {{1,3},{2},{4,6,8},{5,7}}
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => {{1,2,5},{3,4},{6,8},{7}} => {{1,3},{2},{4,7,8},{5,6}}
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => {{1,2,5},{3,4},{6,7,8}} => {{1,2,3},{4,7,8},{5,6}}
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => {{1,2,3,4,5},{6,8},{7}} => {{1,3},{2},{4,5,6,7,8}}
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => {{1,2,3,4,5},{6,7,8}} => {{1,2,3},{4,5,6,7,8}}
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => {{1,3,5},{2},{4},{6,8},{7}} => {{1,3},{2},{4,6,8},{5},{7}}
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => {{1,3,5},{2},{4},{6,7,8}} => {{1,2,3},{4,6,8},{5},{7}}
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => {{1,2,3,5},{4},{6,8},{7}} => {{1,3},{2},{4,6,7,8},{5}}
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => {{1,4,5},{2,3},{6,8},{7}} => {{1,3},{2},{4,5,8},{6,7}}
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => {{1,2,3,4,5},{6,8},{7}} => {{1,3},{2},{4,5,6,7,8}}
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => {{1,2,3,4,5},{6,7,8}} => {{1,2,3},{4,5,6,7,8}}
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => {{1,2,4,5},{3},{6,8},{7}} => {{1,3},{2},{4,5,7,8},{6}}
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => {{1,2,4,5},{3},{6,7,8}} => {{1,2,3},{4,5,7,8},{6}}
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => {{1,3,4,5},{2},{6,8},{7}} => {{1,3},{2},{4,5,6,8},{7}}
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => {{1,2,3,4,5},{6,8},{7}} => {{1,3},{2},{4,5,6,7,8}}
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => {{1,2,3,4,5},{6,7,8}} => {{1,2,3},{4,5,6,7,8}}
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => {{1},{2,5},{3,4},{6,8},{7}} => {{1,3},{2},{4,7},{5,6},{8}}
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => {{1},{2,5},{3,4},{6,7,8}} => {{1,2,3},{4,7},{5,6},{8}}
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => {{1},{2,3,4,5},{6,8},{7}} => {{1,3},{2},{4,5,6,7},{8}}
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => {{1},{2,3,4,5},{6,7,8}} => {{1,2,3},{4,5,6,7},{8}}
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => {{1},{2,3,5},{4},{6,7,8}} => {{1,2,3},{4,6,7},{5},{8}}
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => {{1},{2,3,4,5},{6,8},{7}} => {{1,3},{2},{4,5,6,7},{8}}
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => {{1},{2,3,4,5},{6,7,8}} => {{1,2,3},{4,5,6,7},{8}}
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6] => {{1,2},{3,5},{4},{6,8},{7}} => {{1,3},{2},{4,6},{5},{7,8}}
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => {{1,2},{3,4,5},{6,8},{7}} => {{1,3},{2},{4,5,6},{7,8}}
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => {{1},{2},{3,5},{4},{6,8},{7}} => {{1,3},{2},{4,6},{5},{7},{8}}
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => {{1},{2},{3,5},{4},{6,7,8}} => {{1,2,3},{4,6},{5},{7},{8}}
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => {{1},{2},{3,4,5},{6,8},{7}} => {{1,3},{2},{4,5,6},{7},{8}}
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => {{1},{2},{3,4,5},{6,7,8}} => {{1,2,3},{4,5,6},{7},{8}}
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => {{1},{2,3},{4,5},{6,8},{7}} => {{1,3},{2},{4,5},{6,7},{8}}
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => {{1},{2,3},{4,5},{6,7,8}} => {{1,2,3},{4,5},{6,7},{8}}
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => {{1,2},{3},{4,5},{6,7,8}} => {{1,2,3},{4,5},{6},{7,8}}
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => {{1},{2},{3},{4,5},{6,8},{7}} => {{1,3},{2},{4,5},{6},{7},{8}}
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => {{1},{2},{3},{4,5},{6,7,8}} => {{1,2,3},{4,5},{6},{7},{8}}
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => {{1,4},{2,3},{5},{6,8},{7}} => {{1,3},{2},{4},{5,8},{6,7}}
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => {{1,4},{2,3},{5},{6,7,8}} => {{1,2,3},{4},{5,8},{6,7}}
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => {{1,2,4},{3},{5},{6,8},{7}} => {{1,3},{2},{4},{5,7,8},{6}}
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => {{1,3,4},{2},{5},{6,8},{7}} => {{1,3},{2},{4},{5,6,8},{7}}
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => {{1,3,4},{2},{5},{6,7,8}} => {{1,2,3},{4},{5,6,8},{7}}
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => {{1,2,3,4},{5},{6,8},{7}} => {{1,3},{2},{4},{5,6,7,8}}
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => {{1,2,3,4},{5},{6,7,8}} => {{1,2,3},{4},{5,6,7,8}}
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => {{1},{2,4},{3},{5},{6,8},{7}} => {{1,3},{2},{4},{5,7},{6},{8}}
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => {{1},{2,4},{3},{5},{6,7,8}} => {{1,2,3},{4},{5,7},{6},{8}}
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => {{1},{2,3,4},{5},{6,7,8}} => {{1,2,3},{4},{5,6,7},{8}}
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => {{1,2},{3,4},{5},{6,8},{7}} => {{1,3},{2},{4},{5,6},{7,8}}
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => {{1,2},{3,4},{5},{6,7,8}} => {{1,2,3},{4},{5,6},{7,8}}
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => {{1},{2},{3,4},{5},{6,8},{7}} => {{1,3},{2},{4},{5,6},{7},{8}}
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => {{1},{2},{3,4},{5},{6,7,8}} => {{1,2,3},{4},{5,6},{7},{8}}
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => {{1,3},{2},{4},{5},{6,8},{7}} => {{1,3},{2},{4},{5},{6,8},{7}}
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => {{1,3},{2},{4},{5},{6,7,8}} => {{1,2,3},{4},{5},{6,8},{7}}
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => {{1,2,3},{4},{5},{6,7,8}} => {{1,2,3},{4},{5},{6,7,8}}
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => {{1},{2,3},{4},{5},{6,8},{7}} => {{1,3},{2},{4},{5},{6,7},{8}}
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => {{1},{2,3},{4},{5},{6,7,8}} => {{1,2,3},{4},{5},{6,7},{8}}
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => {{1,2},{3},{4},{5},{6,8},{7}} => {{1,3},{2},{4},{5},{6},{7,8}}
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => {{1,2},{3},{4},{5},{6,7,8}} => {{1,2,3},{4},{5},{6},{7,8}}
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => {{1},{2},{3},{4},{5},{6,8},{7}} => {{1,3},{2},{4},{5},{6},{7},{8}}
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1,2,3},{4},{5},{6},{7},{8}}
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => {{1,6},{2,5},{3,4},{7,8}} => {{1,2},{3,8},{4,7},{5,6}}
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => {{1,2,5,6},{3,4},{7,8}} => {{1,2},{3,4,7,8},{5,6}}
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => {{1,2,3,4,5,6},{7,8}} => {{1,2},{3,4,5,6,7,8}}
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => {{1,2,3,4,5,6},{7,8}} => {{1,2},{3,4,5,6,7,8}}
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => {{1,3,4,6},{2,5},{7,8}} => {{1,2},{3,5,6,8},{4,7}}
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => {{1,2,3,5,6},{4},{7,8}} => {{1,2},{3,4,6,7,8},{5}}
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => {{1,3,6},{2,5},{4},{7,8}} => {{1,2},{3,6,8},{4,7},{5}}
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => {{1,2,3,4,5,6},{7,8}} => {{1,2},{3,4,5,6,7,8}}
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => {{1,3,6},{2,4,5},{7,8}} => {{1,2},{3,6,8},{4,5,7}}
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => {{1,2,4,5,6},{3},{7,8}} => {{1,2},{3,4,5,7,8},{6}}
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => {{1,4,6},{2,5},{3},{7,8}} => {{1,2},{3,5,8},{4,7},{6}}
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => {{1,4,6},{2,3,5},{7,8}} => {{1,2},{3,5,8},{4,6,7}}
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7] => {{1,2,3,4,5,6},{7,8}} => {{1,2},{3,4,5,6,7,8}}
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => {{1,2,6},{3,5},{4},{7,8}} => {{1,2},{3,7,8},{4,6},{5}}
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => {{1,2,3,5,6},{4},{7,8}} => {{1,2},{3,4,6,7,8},{5}}
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => {{1,2,3,4,5,6},{7,8}} => {{1,2},{3,4,5,6,7,8}}
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => {{1,3,4,5,6},{2},{7,8}} => {{1,2},{3,4,5,6,8},{7}}
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => {{1,2,3,6},{4,5},{7,8}} => {{1,2},{3,6,7,8},{4,5}}
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => {{1,2,3,4,5,6},{7,8}} => {{1,2},{3,4,5,6,7,8}}
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => {{1,4,6},{2,3},{5},{7,8}} => {{1,2},{3,5,8},{4},{6,7}}
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => {{1,2,3,4,6},{5},{7,8}} => {{1,2},{3,5,6,7,8},{4}}
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => {{1,2,4,6},{3},{5},{7,8}} => {{1,2},{3,5,7,8},{4},{6}}
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => {{1,5,6},{2,4},{3},{7,8}} => {{1,2},{3,4,8},{5,7},{6}}
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7] => {{1,2,4,5,6},{3},{7,8}} => {{1,2},{3,4,5,7,8},{6}}
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => {{1,2},{3,4,5,6,7,8}}
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => {{1,2},{3,4,5,6,7,8}}
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => {{1,3,5,6},{2,4},{7,8}} => {{1,2},{3,4,6,8},{5,7}}
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => {{1,2,5,6},{3,4},{7,8}} => {{1,2},{3,4,7,8},{5,6}}
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => {{1,2},{3,4,5,6,7,8}}
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => {{1,3,5,6},{2},{4},{7,8}} => {{1,2},{3,4,6,8},{5},{7}}
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => {{1,4,5,6},{2,3},{7,8}} => {{1,2},{3,4,5,8},{6,7}}
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => {{1,2},{3,4,5,6,7,8}}
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => {{1,2,4,5,6},{3},{7,8}} => {{1,2},{3,4,5,7,8},{6}}
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => {{1,2},{3,4,5,6,7,8}}
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => {{1},{2,6},{3,5},{4},{7,8}} => {{1,2},{3,7},{4,6},{5},{8}}
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => {{1},{2,3,5,6},{4},{7,8}} => {{1,2},{3,4,6,7},{5},{8}}
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1,2},{3,4,5,6,7},{8}}
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => {{1},{2,3,6},{4,5},{7,8}} => {{1,2},{3,6,7},{4,5},{8}}
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1,2},{3,4,5,6,7},{8}}
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => {{1,2},{3,6},{4,5},{7,8}} => {{1,2},{3,6},{4,5},{7,8}}
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => {{1,2},{3,4,5,6},{7,8}} => {{1,2},{3,4,5,6},{7,8}}
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => {{1,2},{3,4,6},{5},{7,8}} => {{1,2},{3,5,6},{4},{7,8}}
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => {{1,2},{3,5,6},{4},{7,8}} => {{1,2},{3,4,6},{5},{7,8}}
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => {{1,2},{3,4,5,6},{7,8}} => {{1,2},{3,4,5,6},{7,8}}
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1,2},{3,4,5,6},{7},{8}}
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => {{1,3},{2},{4,6},{5},{7,8}} => {{1,2},{3,5},{4},{6,8},{7}}
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => {{1,2,3},{4,6},{5},{7,8}} => {{1,2},{3,5},{4},{6,7,8}}
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => {{1},{2,3},{4,6},{5},{7,8}} => {{1,2},{3,5},{4},{6,7},{8}}
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => {{1},{2,3},{4,5,6},{7,8}} => {{1,2},{3,4,5},{6,7},{8}}
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => {{1,2},{3},{4,5,6},{7,8}} => {{1,2},{3,4,5},{6},{7,8}}
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => {{1},{2},{3},{4,6},{5},{7,8}} => {{1,2},{3,5},{4},{6},{7},{8}}
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => {{1},{2},{3},{4,5,6},{7,8}} => {{1,2},{3,4,5},{6},{7},{8}}
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => {{1,4},{2,3},{5,6},{7,8}} => {{1,2},{3,4},{5,8},{6,7}}
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => {{1,2,3,4},{5,6},{7,8}} => {{1,2},{3,4},{5,6,7,8}}
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => {{1,2,4},{3},{5,6},{7,8}} => {{1,2},{3,4},{5,7,8},{6}}
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => {{1,3,4},{2},{5,6},{7,8}} => {{1,2},{3,4},{5,6,8},{7}}
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => {{1,2,3,4},{5,6},{7,8}} => {{1,2},{3,4},{5,6,7,8}}
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => {{1},{2,3,4},{5,6},{7,8}} => {{1,2},{3,4},{5,6,7},{8}}
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => {{1,2},{3,4},{5,6},{7,8}} => {{1,2},{3,4},{5,6},{7,8}}
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => {{1},{2},{3,4},{5,6},{7,8}} => {{1,2},{3,4},{5,6},{7},{8}}
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => {{1,2,3},{4},{5,6},{7,8}} => {{1,2},{3,4},{5},{6,7,8}}
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => {{1},{2,3},{4},{5,6},{7,8}} => {{1,2},{3,4},{5},{6,7},{8}}
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => {{1},{2},{3},{4},{5,6},{7,8}} => {{1,2},{3,4},{5},{6},{7},{8}}
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => {{1,5},{2,4},{3},{6},{7,8}} => {{1,2},{3},{4,8},{5,7},{6}}
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => {{1,2,4,5},{3},{6},{7,8}} => {{1,2},{3},{4,5,7,8},{6}}
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => {{1,2,3,4,5},{6},{7,8}} => {{1,2},{3},{4,5,6,7,8}}
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => {{1,2,3,4,5},{6},{7,8}} => {{1,2},{3},{4,5,6,7,8}}
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => {{1,3,5},{2,4},{6},{7,8}} => {{1,2},{3},{4,6,8},{5,7}}
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => {{1,2,5},{3,4},{6},{7,8}} => {{1,2},{3},{4,7,8},{5,6}}
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => {{1,2,3,4,5},{6},{7,8}} => {{1,2},{3},{4,5,6,7,8}}
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => {{1,3,5},{2},{4},{6},{7,8}} => {{1,2},{3},{4,6,8},{5},{7}}
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => {{1,2,3,5},{4},{6},{7,8}} => {{1,2},{3},{4,6,7,8},{5}}
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => {{1,2,4,5},{3},{6},{7,8}} => {{1,2},{3},{4,5,7,8},{6}}
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => {{1,2,3,4,5},{6},{7,8}} => {{1,2},{3},{4,5,6,7,8}}
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => {{1},{2,3,4,5},{6},{7,8}} => {{1,2},{3},{4,5,6,7},{8}}
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => {{1,2},{3,4,5},{6},{7,8}} => {{1,2},{3},{4,5,6},{7,8}}
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => {{1},{2},{3},{4,5},{6},{7,8}} => {{1,2},{3},{4,5},{6},{7},{8}}
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => {{1,4},{2,3},{5},{6},{7,8}} => {{1,2},{3},{4},{5,8},{6,7}}
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => {{1,3,4},{2},{5},{6},{7,8}} => {{1,2},{3},{4},{5,6,8},{7}}
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => {{1,2,3,4},{5},{6},{7,8}} => {{1,2},{3},{4},{5,6,7,8}}
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => {{1},{2,4},{3},{5},{6},{7,8}} => {{1,2},{3},{4},{5,7},{6},{8}}
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => {{1},{2,3,4},{5},{6},{7,8}} => {{1,2},{3},{4},{5,6,7},{8}}
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => {{1},{2},{3,4},{5},{6},{7,8}} => {{1,2},{3},{4},{5,6},{7},{8}}
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => {{1,3},{2},{4},{5},{6},{7,8}} => {{1,2},{3},{4},{5},{6,8},{7}}
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => {{1,2,3},{4},{5},{6},{7,8}} => {{1,2},{3},{4},{5},{6,7,8}}
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => {{1},{2,3},{4},{5},{6},{7,8}} => {{1,2},{3},{4},{5},{6,7},{8}}
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => {{1,2},{3},{4},{5},{6},{7,8}} => {{1,2},{3},{4},{5},{6},{7,8}}
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,2},{3},{4},{5},{6},{7},{8}}
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => {{1,7},{2,6},{3,5},{4},{8}} => {{1},{2,8},{3,7},{4,6},{5}}
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => {{1,2,6,7},{3,5},{4},{8}} => {{1},{2,3,7,8},{4,6},{5}}
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => {{1,2,3,5,6,7},{4},{8}} => {{1},{2,3,4,6,7,8},{5}}
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => {{1,2,3,5,6,7},{4},{8}} => {{1},{2,3,4,6,7,8},{5}}
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => {{1,3,5,7},{2,6},{4},{8}} => {{1},{2,4,6,8},{3,7},{5}}
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => {{1,3,4,5,7},{2,6},{8}} => {{1},{2,4,5,6,8},{3,7}}
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => {{1,3,5,7},{2,4,6},{8}} => {{1},{2,4,6,8},{3,5,7}}
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => {{1,3,4,5,7},{2,6},{8}} => {{1},{2,4,5,6,8},{3,7}}
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => {{1,4,7},{2,6},{3,5},{8}} => {{1},{2,5,8},{3,7},{4,6}}
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => {{1,4,7},{2,3,5,6},{8}} => {{1},{2,5,8},{3,4,6,7}}
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => {{1,3,7},{2,4,5,6},{8}} => {{1},{2,6,8},{3,4,5,7}}
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [3,5,6,7,4,2,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => {{1,2,3,4,6,7},{5},{8}} => {{1},{2,3,5,6,7,8},{4}}
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => {{1,3,7},{2,4,6},{5},{8}} => {{1},{2,6,8},{3,5,7},{4}}
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => {{1,2,4,5,6,7},{3},{8}} => {{1},{2,3,4,5,7,8},{6}}
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [4,5,3,7,6,2,1,8] => {{1,4,7},{2,5,6},{3},{8}} => {{1},{2,5,8},{3,4,7},{6}}
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => {{1,3,4,7},{2,5,6},{8}} => {{1},{2,5,6,8},{3,4,7}}
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [4,3,5,7,6,2,1,8] => {{1,4,7},{2,3,5,6},{8}} => {{1},{2,5,8},{3,4,6,7}}
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => {{1,2,5,6,7},{3,4},{8}} => {{1},{2,3,4,7,8},{5,6}}
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => {{1,5,7},{2,6},{3,4},{8}} => {{1},{2,4,8},{3,7},{5,6}}
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => {{1,5,7},{2,3,4,6},{8}} => {{1},{2,4,8},{3,5,6,7}}
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8] => {{1,2,3,5,6,7},{4},{8}} => {{1},{2,3,4,6,7,8},{5}}
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => {{1,5,7},{2,4,6},{3},{8}} => {{1},{2,4,8},{3,5,7},{6}}
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => {{1,3,5,7},{2,4,6},{8}} => {{1},{2,4,6,8},{3,5,7}}
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => {{1,2,7},{3,6},{4,5},{8}} => {{1},{2,7,8},{3,6},{4,5}}
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => {{1,2,3,6,7},{4,5},{8}} => {{1},{2,3,6,7,8},{4,5}}
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [2,5,6,7,4,3,1,8] => {{1,2,4,5,7},{3,6},{8}} => {{1},{2,4,5,7,8},{3,6}}
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => {{1,2,4,7},{3,6},{5},{8}} => {{1},{2,5,7,8},{3,6},{4}}
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => {{1,2,5,7},{3,6},{4},{8}} => {{1},{2,4,7,8},{3,6},{5}}
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => {{1,2,5,7},{3,4,6},{8}} => {{1},{2,4,7,8},{3,5,6}}
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => {{1,3,7},{2},{4,6},{5},{8}} => {{1},{2,6,8},{3,5},{4},{7}}
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => {{1,3,4,6,7},{2},{5},{8}} => {{1},{2,3,5,6,8},{4},{7}}
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => {{1,3,4,5,6,7},{2},{8}} => {{1},{2,3,4,5,6,8},{7}}
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => {{1,3,4,5,6,7},{2},{8}} => {{1},{2,3,4,5,6,8},{7}}
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => {{1,3,5,7},{2},{4,6},{8}} => {{1},{2,4,6,8},{3,5},{7}}
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => {{1,2,3,7},{4,6},{5},{8}} => {{1},{2,6,7,8},{3,5},{4}}
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => {{1,2,3,4,6,7},{5},{8}} => {{1},{2,3,5,6,7,8},{4}}
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => {{1,2,3,5,7},{4,6},{8}} => {{1},{2,4,6,7,8},{3,5}}
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => {{1,4,5,6,7},{2,3},{8}} => {{1},{2,3,4,5,8},{6,7}}
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => {{1,2,3,4,7},{5,6},{8}} => {{1},{2,5,6,7,8},{3,4}}
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => {{1,3,4,5,6,7},{2},{8}} => {{1},{2,3,4,5,6,8},{7}}
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => {{1,2,3,4,7},{5,6},{8}} => {{1},{2,5,6,7,8},{3,4}}
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => {{1,5,7},{2,4},{3},{6},{8}} => {{1},{2,4,8},{3},{5,7},{6}}
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => {{1,2,4,5,7},{3},{6},{8}} => {{1},{2,4,5,7,8},{3},{6}}
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => {{1,2,3,4,5,7},{6},{8}} => {{1},{2,4,5,6,7,8},{3}}
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => {{1,2,3,4,5,7},{6},{8}} => {{1},{2,4,5,6,7,8},{3}}
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => {{1,3,5,7},{2,4},{6},{8}} => {{1},{2,4,6,8},{3},{5,7}}
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => {{1,3,5,7},{2},{4},{6},{8}} => {{1},{2,4,6,8},{3},{5},{7}}
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => {{1,4,5,7},{2,3},{6},{8}} => {{1},{2,4,5,8},{3},{6,7}}
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => {{1,2,3,4,5,7},{6},{8}} => {{1},{2,4,5,6,7,8},{3}}
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => {{1,2,3,4,5,7},{6},{8}} => {{1},{2,4,5,6,7,8},{3}}
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => {{1,6,7},{2,5},{3,4},{8}} => {{1},{2,3,8},{4,7},{5,6}}
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => {{1,2,5,6,7},{3,4},{8}} => {{1},{2,3,4,7,8},{5,6}}
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [3,6,5,4,2,7,1,8] => {{1,2,3,5,6,7},{4},{8}} => {{1},{2,3,4,6,7,8},{5}}
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => {{1,3,6,7},{2,5},{4},{8}} => {{1},{2,3,6,8},{4,7},{5}}
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [3,4,6,5,2,7,1,8] => {{1,3,6,7},{2,4,5},{8}} => {{1},{2,3,6,8},{4,5,7}}
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => {{1,2,4,5,6,7},{3},{8}} => {{1},{2,3,4,5,7,8},{6}}
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => {{1,4,6,7},{2,5},{3},{8}} => {{1},{2,3,5,8},{4,7},{6}}
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => {{1,3,4,6,7},{2,5},{8}} => {{1},{2,3,5,6,8},{4,7}}
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => {{1,4,6,7},{2,3,5},{8}} => {{1},{2,3,5,8},{4,6,7}}
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => {{1,3,6,7},{2},{4,5},{8}} => {{1},{2,3,6,8},{4,5},{7}}
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => {{1,4,6,7},{2,3},{5},{8}} => {{1},{2,3,5,8},{4},{6,7}}
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => {{1,2,3,4,6,7},{5},{8}} => {{1},{2,3,5,6,7,8},{4}}
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => {{1,2,4,6,7},{3},{5},{8}} => {{1},{2,3,5,7,8},{4},{6}}
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => {{1,2,3,4,6,7},{5},{8}} => {{1},{2,3,5,6,7,8},{4}}
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => {{1,5,6,7},{2,4},{3},{8}} => {{1},{2,3,4,8},{5,7},{6}}
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => {{1,3,5,6,7},{2,4},{8}} => {{1},{2,3,4,6,8},{5,7}}
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => {{1,2,5,6,7},{3,4},{8}} => {{1},{2,3,4,7,8},{5,6}}
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => {{1,2,3,5,6,7},{4},{8}} => {{1},{2,3,4,6,7,8},{5}}
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => {{1,4,5,6,7},{2,3},{8}} => {{1},{2,3,4,5,8},{6,7}}
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => {{1,3,4,5,6,7},{2},{8}} => {{1},{2,3,4,5,6,8},{7}}
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}}
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => {{1},{2,7},{3,6},{4,5},{8}} => {{1},{2,7},{3,6},{4,5},{8}}
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => {{1},{2,3,6,7},{4,5},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => {{1},{2,4,5,7},{3,6},{8}} => {{1},{2,4,5,7},{3,6},{8}}
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => {{1},{2,3,4,6,7},{5},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => {{1},{2,4,7},{3,6},{5},{8}} => {{1},{2,5,7},{3,6},{4},{8}}
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8] => {{1},{2,5,7},{3,6},{4},{8}} => {{1},{2,4,7},{3,6},{5},{8}}
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => {{1},{2,4,5,7},{3,6},{8}} => {{1},{2,4,5,7},{3,6},{8}}
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => {{1},{2,5,7},{3,4,6},{8}} => {{1},{2,4,7},{3,5,6},{8}}
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => {{1},{2,3,4,6,7},{5},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,4,6,7},{3,5},{8}}
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => {{1},{2,3,5,7},{4},{6},{8}} => {{1},{2,4,6,7},{3},{5},{8}}
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => {{1},{2,4,5,7},{3},{6},{8}} => {{1},{2,4,5,7},{3},{6},{8}}
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,4,5,6,7},{3},{8}}
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => {{1},{2,3,6,7},{4,5},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => {{1},{2,4,6,7},{3},{5},{8}} => {{1},{2,3,5,7},{4},{6},{8}}
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8] => {{1},{2,5,6,7},{3,4},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => {{1,2},{3,7},{4,6},{5},{8}} => {{1},{2,6},{3,5},{4},{7,8}}
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => {{1,2},{3,4,6,7},{5},{8}} => {{1},{2,3,5,6},{4},{7,8}}
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => {{1,2},{3,5,7},{4,6},{8}} => {{1},{2,4,6},{3,5},{7,8}}
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [2,1,5,4,6,7,3,8] => {{1,2},{3,5,6,7},{4},{8}} => {{1},{2,3,4,6},{5},{7,8}}
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => {{1,2},{3,4,5,6,7},{8}} => {{1},{2,3,4,5,6},{7,8}}
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => {{1},{2},{3,7},{4,6},{5},{8}} => {{1},{2,6},{3,5},{4},{7},{8}}
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => {{1},{2},{3,4,6,7},{5},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => {{1},{2},{3,5,7},{4,6},{8}} => {{1},{2,4,6},{3,5},{7},{8}}
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => {{1},{2},{3,5,6,7},{4},{8}} => {{1},{2,3,4,6},{5},{7},{8}}
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => {{1,3},{2},{4,7},{5,6},{8}} => {{1},{2,5},{3,4},{6,8},{7}}
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => {{1,3},{2},{4,5,7},{6},{8}} => {{1},{2,4,5},{3},{6,8},{7}}
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [3,2,1,6,5,7,4,8] => {{1,3},{2},{4,6,7},{5},{8}} => {{1},{2,3,5},{4},{6,8},{7}}
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => {{1,2,3},{4,5,6,7},{8}} => {{1},{2,3,4,5},{6,7,8}}
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => {{1,2,3},{4,6,7},{5},{8}} => {{1},{2,3,5},{4},{6,7,8}}
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => {{1,2,3},{4,5,6,7},{8}} => {{1},{2,3,4,5},{6,7,8}}
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => {{1},{2,3},{4,7},{5,6},{8}} => {{1},{2,5},{3,4},{6,7},{8}}
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => {{1},{2,3},{4,5,7},{6},{8}} => {{1},{2,4,5},{3},{6,7},{8}}
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => {{1},{2,3},{4,6,7},{5},{8}} => {{1},{2,3,5},{4},{6,7},{8}}
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => {{1,2},{3},{4,5,6,7},{8}} => {{1},{2,3,4,5},{6},{7,8}}
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => {{1},{2},{3},{4,5,7},{6},{8}} => {{1},{2,4,5},{3},{6},{7},{8}}
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => {{1},{2},{3},{4,6,7},{5},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => {{1,4},{2,3},{5,7},{6},{8}} => {{1},{2,4},{3},{5,8},{6,7}}
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => {{1,4},{2,3},{5,6,7},{8}} => {{1},{2,3,4},{5,8},{6,7}}
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => {{1,3,4},{2},{5,7},{6},{8}} => {{1},{2,4},{3},{5,6,8},{7}}
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => {{1,3,4},{2},{5,6,7},{8}} => {{1},{2,3,4},{5,6,8},{7}}
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => {{1,2,3,4},{5,7},{6},{8}} => {{1},{2,4},{3},{5,6,7,8}}
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => {{1,2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7,8}}
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => {{1},{2,4},{3},{5,7},{6},{8}} => {{1},{2,4},{3},{5,7},{6},{8}}
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => {{1},{2,4},{3},{5,6,7},{8}} => {{1},{2,3,4},{5,7},{6},{8}}
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [2,1,4,3,6,7,5,8] => {{1,2},{3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6},{7,8}}
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => {{1,3},{2},{4},{5,7},{6},{8}} => {{1},{2,4},{3},{5},{6,8},{7}}
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => {{1},{2},{3},{4},{5,7},{6},{8}} => {{1},{2,4},{3},{5},{6},{7},{8}}
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => {{1,5},{2,4},{3},{6,7},{8}} => {{1},{2,3},{4,8},{5,7},{6}}
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => {{1,2,4,5},{3},{6,7},{8}} => {{1},{2,3},{4,5,7,8},{6}}
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => {{1,2,3,4,5},{6,7},{8}} => {{1},{2,3},{4,5,6,7,8}}
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => {{1,3,5},{2,4},{6,7},{8}} => {{1},{2,3},{4,6,8},{5,7}}
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => {{1,2,5},{3,4},{6,7},{8}} => {{1},{2,3},{4,7,8},{5,6}}
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => {{1,2,3,4,5},{6,7},{8}} => {{1},{2,3},{4,5,6,7,8}}
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => {{1,3,5},{2},{4},{6,7},{8}} => {{1},{2,3},{4,6,8},{5},{7}}
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => {{1,2,3,5},{4},{6,7},{8}} => {{1},{2,3},{4,6,7,8},{5}}
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => {{1,2,3,4,5},{6,7},{8}} => {{1},{2,3},{4,5,6,7,8}}
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => {{1,2,4,5},{3},{6,7},{8}} => {{1},{2,3},{4,5,7,8},{6}}
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => {{1,2,3,4,5},{6,7},{8}} => {{1},{2,3},{4,5,6,7,8}}
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => {{1},{2,5},{3,4},{6,7},{8}} => {{1},{2,3},{4,7},{5,6},{8}}
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => {{1},{2,3,5},{4},{6,7},{8}} => {{1},{2,3},{4,6,7},{5},{8}}
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => {{1},{2,4,5},{3},{6,7},{8}} => {{1},{2,3},{4,5,7},{6},{8}}
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => {{1,2},{3,5},{4},{6,7},{8}} => {{1},{2,3},{4,6},{5},{7,8}}
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => {{1},{2},{3,4,5},{6,7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => {{1,3},{2},{4,5},{6,7},{8}} => {{1},{2,3},{4,5},{6,8},{7}}
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => {{1,2,3},{4,5},{6,7},{8}} => {{1},{2,3},{4,5},{6,7,8}}
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => {{1},{2,3},{4,5},{6,7},{8}} => {{1},{2,3},{4,5},{6,7},{8}}
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => {{1},{2},{3},{4,5},{6,7},{8}} => {{1},{2,3},{4,5},{6},{7},{8}}
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => {{1,4},{2,3},{5},{6,7},{8}} => {{1},{2,3},{4},{5,8},{6,7}}
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => {{1,3,4},{2},{5},{6,7},{8}} => {{1},{2,3},{4},{5,6,8},{7}}
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => {{1,2,3,4},{5},{6,7},{8}} => {{1},{2,3},{4},{5,6,7,8}}
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => {{1},{2,3,4},{5},{6,7},{8}} => {{1},{2,3},{4},{5,6,7},{8}}
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => {{1},{2},{3,4},{5},{6,7},{8}} => {{1},{2,3},{4},{5,6},{7},{8}}
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8] => {{1,3},{2},{4},{5},{6,7},{8}} => {{1},{2,3},{4},{5},{6,8},{7}}
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => {{1},{2,3},{4},{5},{6,7},{8}} => {{1},{2,3},{4},{5},{6,7},{8}}
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => {{1,2},{3},{4},{5},{6,7},{8}} => {{1},{2,3},{4},{5},{6},{7,8}}
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => {{1,6},{2,5},{3,4},{7},{8}} => {{1},{2},{3,8},{4,7},{5,6}}
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => {{1,2,5,6},{3,4},{7},{8}} => {{1},{2},{3,4,7,8},{5,6}}
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => {{1,2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7,8}}
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => {{1,3,4,6},{2,5},{7},{8}} => {{1},{2},{3,5,6,8},{4,7}}
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => {{1,2,3,5,6},{4},{7},{8}} => {{1},{2},{3,4,6,7,8},{5}}
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [4,3,6,5,2,1,7,8] => {{1,2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7,8}}
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => {{1,2,4,5,6},{3},{7},{8}} => {{1},{2},{3,4,5,7,8},{6}}
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => {{1,2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7,8}}
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => {{1,2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7,8}}
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8] => {{1,2,4,6},{3,5},{7},{8}} => {{1},{2},{3,5,7,8},{4,6}}
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [2,3,6,5,4,1,7,8] => {{1,2,3,6},{4,5},{7},{8}} => {{1},{2},{3,6,7,8},{4,5}}
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => {{1,2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7,8}}
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => {{1,4,6},{2,3},{5},{7},{8}} => {{1},{2},{3,5,8},{4},{6,7}}
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => {{1,2,4,6},{3},{5},{7},{8}} => {{1},{2},{3,5,7,8},{4},{6}}
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => {{1,2,3,4,6},{5},{7},{8}} => {{1},{2},{3,5,6,7,8},{4}}
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => {{1,5,6},{2,4},{3},{7},{8}} => {{1},{2},{3,4,8},{5,7},{6}}
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => {{1,2,4,5,6},{3},{7},{8}} => {{1},{2},{3,4,5,7,8},{6}}
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8] => {{1,2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7,8}}
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => {{1,2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7,8}}
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => {{1,3,5,6},{2,4},{7},{8}} => {{1},{2},{3,4,6,8},{5,7}}
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => {{1,2,3,5,6},{4},{7},{8}} => {{1},{2},{3,4,6,7,8},{5}}
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => {{1,4,5,6},{2,3},{7},{8}} => {{1},{2},{3,4,5,8},{6,7}}
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => {{1,2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7,8}}
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => {{1,3,4,5,6},{2},{7},{8}} => {{1},{2},{3,4,5,6,8},{7}}
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => {{1,2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7,8}}
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2},{3,4,6,7},{5},{8}}
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => {{1},{2,4,6},{3},{5},{7},{8}} => {{1},{2},{3,5,7},{4},{6},{8}}
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => {{1},{2,4,5,6},{3},{7},{8}} => {{1},{2},{3,4,5,7},{6},{8}}
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => {{1},{2},{3,6},{4,5},{7},{8}} => {{1},{2},{3,6},{4,5},{7},{8}}
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => {{1},{2},{3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6},{7},{8}}
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => {{1},{2},{3,4,6},{5},{7},{8}} => {{1},{2},{3,5,6},{4},{7},{8}}
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => {{1},{2},{3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6},{7},{8}}
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => {{1,3},{2},{4,6},{5},{7},{8}} => {{1},{2},{3,5},{4},{6,8},{7}}
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => {{1,3},{2},{4,5,6},{7},{8}} => {{1},{2},{3,4,5},{6,8},{7}}
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => {{1,2,3},{4,6},{5},{7},{8}} => {{1},{2},{3,5},{4},{6,7,8}}
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => {{1,2,3},{4,5,6},{7},{8}} => {{1},{2},{3,4,5},{6,7,8}}
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2},{3,4,5},{6,7},{8}}
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3,4,5},{6},{7},{8}}
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => {{1,4},{2,3},{5,6},{7},{8}} => {{1},{2},{3,4},{5,8},{6,7}}
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => {{1,3,4},{2},{5,6},{7},{8}} => {{1},{2},{3,4},{5,6,8},{7}}
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => {{1,2,3,4},{5,6},{7},{8}} => {{1},{2},{3,4},{5,6,7,8}}
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => {{1,2},{3,4},{5,6},{7},{8}} => {{1},{2},{3,4},{5,6},{7,8}}
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => {{1},{2},{3,4},{5,6},{7},{8}} => {{1},{2},{3,4},{5,6},{7},{8}}
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => {{1,2},{3},{4},{5,6},{7},{8}} => {{1},{2},{3,4},{5},{6},{7,8}}
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => {{1},{2},{3},{4},{5,6},{7},{8}} => {{1},{2},{3,4},{5},{6},{7},{8}}
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => {{1,5},{2,4},{3},{6},{7},{8}} => {{1},{2},{3},{4,8},{5,7},{6}}
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => {{1,2,4,5},{3},{6},{7},{8}} => {{1},{2},{3},{4,5,7,8},{6}}
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => {{1,2,3,4,5},{6},{7},{8}} => {{1},{2},{3},{4,5,6,7,8}}
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => {{1,2,3,4,5},{6},{7},{8}} => {{1},{2},{3},{4,5,6,7,8}}
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => {{1,3,5},{2,4},{6},{7},{8}} => {{1},{2},{3},{4,6,8},{5,7}}
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => {{1,2,5},{3,4},{6},{7},{8}} => {{1},{2},{3},{4,7,8},{5,6}}
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => {{1,2,3,4,5},{6},{7},{8}} => {{1},{2},{3},{4,5,6,7,8}}
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => {{1,3,5},{2},{4},{6},{7},{8}} => {{1},{2},{3},{4,6,8},{5},{7}}
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => {{1,2,3,5},{4},{6},{7},{8}} => {{1},{2},{3},{4,6,7,8},{5}}
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => {{1,4,5},{2,3},{6},{7},{8}} => {{1},{2},{3},{4,5,8},{6,7}}
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => {{1,2,3,4,5},{6},{7},{8}} => {{1},{2},{3},{4,5,6,7,8}}
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => {{1,2,4,5},{3},{6},{7},{8}} => {{1},{2},{3},{4,5,7,8},{6}}
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => {{1,3,4,5},{2},{6},{7},{8}} => {{1},{2},{3},{4,5,6,8},{7}}
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => {{1,2,3,4,5},{6},{7},{8}} => {{1},{2},{3},{4,5,6,7,8}}
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => {{1,2},{3,5},{4},{6},{7},{8}} => {{1},{2},{3},{4,6},{5},{7,8}}
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => {{1,2},{3,4,5},{6},{7},{8}} => {{1},{2},{3},{4,5,6},{7,8}}
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => {{1,3},{2},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6,8},{7}}
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => {{1,2,3},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6,7,8}}
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => {{1},{2,3},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6,7},{8}}
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => {{1,2},{3},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7,8}}
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}}
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => {{1,4},{2,3},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5,8},{6,7}}
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => {{1,2,3,4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5,6,7,8}}
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => {{1,2,4},{3},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5,7,8},{6}}
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => {{1,3,4},{2},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5,6,8},{7}}
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => {{1,2,3,4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5,6,7,8}}
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => {{1},{2,4},{3},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5,7},{6},{8}}
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => {{1,2},{3,4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5,6},{7,8}}
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => {{1},{2},{3,4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5,6},{7},{8}}
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => {{1,3},{2},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6,8},{7}}
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => {{1,2,3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2},{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}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => {{1,9},{2,8},{3,7},{4,6},{5}} => {{1,9},{2,8},{3,7},{4,6},{5}}
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => {{1,2,8,9},{3,7},{4,6},{5}} => {{1,2,8,9},{3,7},{4,6},{5}}
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => {{1,3,7,9},{2,8},{4,6},{5}} => {{1,3,7,9},{2,8},{4,6},{5}}
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => {{1,4,6,9},{2,3,7,8},{5}} => {{1,4,6,9},{2,3,7,8},{5}}
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => {{1,5,9},{2,4,6,8},{3,7}} => {{1,5,9},{2,4,6,8},{3,7}}
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => {{1,3,4,6,7,9},{2,5,8}} => {{1,3,4,6,7,9},{2,5,8}}
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => {{1,3,5,7,9},{2,4,6,8}} => {{1,3,5,7,9},{2,4,6,8}}
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => {{1,2,3,4,5,6,7,8,9}} => {{1,2,3,4,5,6,7,8,9}}
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => {{1,10},{2,9},{3,8},{4,7},{5,6}} => {{1,10},{2,9},{3,8},{4,7},{5,6}}
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => {{1,2,9,10},{3,8},{4,7},{5,6}} => {{1,2,9,10},{3,8},{4,7},{5,6}}
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => {{1,2,3,7,8,9},{4,6},{5}} => {{1,2,3,7,8,9},{4,6},{5}}
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => {{1,3,8,10},{2,9},{4,7},{5,6}} => {{1,3,8,10},{2,9},{4,7},{5,6}}
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => {{1,4,7,10},{2,3,8,9},{5,6}} => {{1,4,7,10},{2,3,8,9},{5,6}}
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => {{1,5,6,10},{2,4,7,9},{3,8}} => {{1,5,6,10},{2,4,7,9},{3,8}}
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => {{1,2,5,6,9,10},{3,4,7,8}} => {{1,2,5,6,9,10},{3,4,7,8}}
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => {{1,4,7,10},{2,3,5,6,8,9}} => {{1,4,7,10},{2,3,5,6,8,9}}
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [2,4,5,6,7,8,9,3,1] => {{1,2,3,4,5,6,7,8,9}} => {{1,2,3,4,5,6,7,8,9}}
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => {{1,2,3,4,5,6,7,8,9,10}} => {{1,2,3,4,5,6,7,8,9,10}}
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => {{1},{2,3,4,5,6,7,8,9}} => {{1,2,3,4,5,6,7,8},{9}}
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => {{1,2,3,4,5,6,7,8,9,10}} => {{1,2,3,4,5,6,7,8,9,10}}
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => {{1,2,3,7,8,9},{4,6},{5}} => {{1,2,3,7,8,9},{4,6},{5}}
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => {{1,2,3,4,6,7,8,9},{5}} => {{1,2,3,4,6,7,8,9},{5}}
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => {{1,2,3,4,5,6,7,8,9}} => {{1,2,3,4,5,6,7,8,9}}
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => {{1,2,3,6,7,8,9},{4,5}} => {{1,2,3,4,7,8,9},{5,6}}
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => {{1,2,7,8,9},{3,6},{4,5}} => {{1,2,3,8,9},{4,7},{5,6}}
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => {{1,8,9},{2,7},{3,6},{4,5}} => {{1,2,9},{3,8},{4,7},{5,6}}
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => {{1,8},{2,7},{3,6},{4,5},{9}} => {{1},{2,9},{3,8},{4,7},{5,6}}
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => {{1,2,3,8,9,10},{4,7},{5,6}} => {{1,2,3,8,9,10},{4,7},{5,6}}
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => {{1,2,3,4,7,8,9,10},{5,6}} => {{1,2,3,4,7,8,9,10},{5,6}}
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => {{1,2,3,4,5,6,7,8,9,10}} => {{1,2,3,4,5,6,7,8,9,10}}
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => {{1,2,3,4,6,7,8,9,10},{5}} => {{1,2,3,4,5,7,8,9,10},{6}}
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [3,8,7,6,5,4,9,2,1] => {{1,3,7,9},{2,8},{4,6},{5}} => {{1,3,7,9},{2,8},{4,6},{5}}
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => {{1,2,3,7,8,9,10},{4,6},{5}} => {{1,2,3,4,8,9,10},{5,7},{6}}
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [2,8,7,6,5,4,3,9,1] => {{1,2,8,9},{3,7},{4,6},{5}} => {{1,2,8,9},{3,7},{4,6},{5}}
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => {{1,2,8,9,10},{3,7},{4,6},{5}} => {{1,2,3,9,10},{4,8},{5,7},{6}}
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => {{1,9,10},{2,8},{3,7},{4,6},{5}} => {{1,2,10},{3,9},{4,8},{5,7},{6}}
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => {{1,9},{2,8},{3,7},{4,6},{5},{10}} => {{1},{2,10},{3,9},{4,8},{5,7},{6}}
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1,2,3,4,5,6,7,8,9},{10}}
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [1,6,7,5,8,4,9,3,10,2] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1,2,3,4,5,6,7,8,9},{10}}
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => {{1,2,3,4,5,6,7,8,9},{10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,10,9,1] => {{1,2,4,6,8,10},{3},{5},{7},{9}} => {{1,3,5,7,9,10},{2},{4},{6},{8}}
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,9,8,1,10] => {{1,3,5,7,9},{2},{4},{6},{8},{10}} => {{1},{2,4,6,8,10},{3},{5},{7},{9}}
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => {{1,2},{3,4},{5,6},{7,8},{9,10}} => {{1,2},{3,4},{5,6},{7,8},{9,10}}
[.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,10,9,12,11,1] => {{1,2,4,6,8,10,12},{3},{5},{7},{9},{11}} => {{1,3,5,7,9,11,12},{2},{4},{6},{8},{10}}
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,9,8,11,10,1,12] => {{1,3,5,7,9,11},{2},{4},{6},{8},{10},{12}} => {{1},{2,4,6,8,10,12},{3},{5},{7},{9},{11}}
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}} => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => {{1},{2},{3},{4},{5},{6},{7},{8,9}} => {{1,2},{3},{4},{5},{6},{7},{8},{9}}
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}} => {{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => {{1,2},{3},{4},{5},{6},{7},{8,9}} => {{1,2},{3},{4},{5},{6},{7},{8,9}}
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => {{1,3,4,5,6,7,8,9},{2}} => {{1,2,3,4,5,6,7,9},{8}}
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}} => {{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => {{1,2},{3},{4},{5},{6},{7},{8},{9,10}} => {{1,2},{3},{4},{5},{6},{7},{8},{9,10}}
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => {{1},{2,3},{4},{5},{6},{7},{8,9}} => {{1,2},{3},{4},{5},{6},{7,8},{9}}
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [2,4,3,5,6,7,8,9,1] => {{1,2,4,5,6,7,8,9},{3}} => {{1,2,3,4,5,6,8,9},{7}}
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => {{1,2,3,4,5,6,7,8,9}} => {{1,2,3,4,5,6,7,8,9}}
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => {{1,3,4,5,6,7,8,9,10},{2}} => {{1,2,3,4,5,6,7,8,10},{9}}
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => {{1,2,3,4,5,6,7,8,9,10,11}} => {{1,2,3,4,5,6,7,8,9,10,11}}
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => {{1},{2},{3},{4},{5},{6},{7,8,9}} => {{1,2,3},{4},{5},{6},{7},{8},{9}}
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => {{1},{2},{3},{4},{5},{6,7,8,9}} => {{1,2,3,4},{5},{6},{7},{8},{9}}
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => {{1},{2},{3},{4},{5,6,7,8,9}} => {{1,2,3,4,5},{6},{7},{8},{9}}
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => {{1},{2},{3},{4,5,6,7,8,9}} => {{1,2,3,4,5,6},{7},{8},{9}}
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => {{1},{2},{3,4,5,6,7,8,9}} => {{1,2,3,4,5,6,7},{8},{9}}
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => {{1},{2},{3},{4},{5},{6},{7,9},{8}} => {{1,3},{2},{4},{5},{6},{7},{8},{9}}
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => {{1},{2},{3},{4},{5},{6},{7},{8,9,10}} => {{1,2,3},{4},{5},{6},{7},{8},{9},{10}}
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => {{1},{2},{3},{4},{5},{6,8,9},{7}} => {{1,2,4},{3},{5},{6},{7},{8},{9}}
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => {{1},{2},{3},{4},{5},{6},{7,8,9,10}} => {{1,2,3,4},{5},{6},{7},{8},{9},{10}}
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,4,7,6,8,9,5] => {{1},{2},{3},{4},{5,7,8,9},{6}} => {{1,2,3,5},{4},{6},{7},{8},{9}}
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => {{1},{2},{3},{4},{5},{6,7,8,9,10}} => {{1,2,3,4,5},{6},{7},{8},{9},{10}}
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,2,3,6,5,7,8,9,4] => {{1},{2},{3},{4,6,7,8,9},{5}} => {{1,2,3,4,6},{5},{7},{8},{9}}
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => {{1},{2},{3},{4},{5,6,7,8,9,10}} => {{1,2,3,4,5,6},{7},{8},{9},{10}}
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [1,2,5,4,6,7,8,9,3] => {{1},{2},{3,5,6,7,8,9},{4}} => {{1,2,3,4,5,7},{6},{8},{9}}
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => {{1},{2},{3},{4,5,6,7,8,9,10}} => {{1,2,3,4,5,6,7},{8},{9},{10}}
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => {{1},{2,4,5,6,7,8,9},{3}} => {{1,2,3,4,5,6,8},{7},{9}}
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => {{1},{2},{3,4,5,6,7,8,9,10}} => {{1,2,3,4,5,6,7,8},{9},{10}}
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1,2,3,4,5,6,7,8,9},{10}}
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => {{1},{2,9},{3,8},{4,7},{5,6}} => {{1,8},{2,7},{3,6},{4,5},{9}}
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => {{1,2,7,8},{3,6},{4,5},{9}} => {{1},{2,3,8,9},{4,7},{5,6}}
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => {{1},{2,10},{3,9},{4,8},{5,7},{6}} => {{1,9},{2,8},{3,7},{4,6},{5},{10}}
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => {{1,10},{2,9},{3,8},{4,7},{5,6},{11}} => {{1},{2,11},{3,10},{4,9},{5,8},{6,7}}
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => {{1},{2,11},{3,10},{4,9},{5,8},{6,7}} => {{1,10},{2,9},{3,8},{4,7},{5,6},{11}}
[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [5,4,7,6,8,3,9,2,10,1] => {{1,2,3,4,5,6,7,8,9,10}} => {{1,2,3,4,5,6,7,8,9,10}}
[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [4,3,7,6,8,5,9,2,10,1] => {{1,2,3,4,5,6,7,8,9,10}} => {{1,2,3,4,5,6,7,8,9,10}}
[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [5,4,6,3,8,7,9,2,10,1] => {{1,2,3,4,5,6,7,8,9,10}} => {{1,2,3,4,5,6,7,8,9,10}}
[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [4,3,6,5,8,7,9,2,10,1] => {{1,2,3,4,5,6,7,8,9,10}} => {{1,2,3,4,5,6,7,8,9,10}}
[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [4,3,5,2,8,7,9,6,10,1] => {{1,2,3,4,5,6,7,8,9,10}} => {{1,2,3,4,5,6,7,8,9,10}}
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [3,2,6,5,7,4,9,8,10,1] => {{1,3,4,5,6,7,9,10},{2},{8}} => {{1,2,4,5,6,7,8,10},{3},{9}}
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [3,2,6,5,7,4,8,1,10,9] => {{1,3,4,5,6,7,8},{2},{9,10}} => {{1,2},{3,4,5,6,7,8,10},{9}}
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [4,3,5,2,6,1,8,7,10,9] => {{1,2,3,4,5,6},{7,8},{9,10}} => {{1,2},{3,4},{5,6,7,8,9,10}}
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7,10,9] => {{1,3,4},{2},{5,6},{7,8},{9,10}} => {{1,2},{3,4},{5,6},{7,8,10},{9}}
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => {{1,2,4,5,6,7,9,10,11,12},{3,8}} => {{1,2,3,4,6,7,8,9,11,12},{5,10}}
[.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]] => [6,5,8,7,9,4,10,3,11,2,12,1] => {{1,2,4,5,6,7,9,10,11,12},{3,8}} => {{1,2,3,4,6,7,8,9,11,12},{5,10}}
[.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]] => [4,3,7,6,9,8,10,5,11,2,12,1] => {{1,4,5,6,8,9,11,12},{2,3,7,10}} => {{1,2,4,5,7,8,9,12},{3,6,10,11}}
[.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]] => [4,3,6,5,9,8,10,7,11,2,12,1] => {{1,4,5,9,11,12},{2,3,6,7,8,10}} => {{1,2,4,8,9,12},{3,5,6,7,10,11}}
[.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]] => [4,3,7,6,8,5,10,9,11,2,12,1] => {{1,4,5,6,8,9,11,12},{2,3,7,10}} => {{1,2,4,5,7,8,9,12},{3,6,10,11}}
[.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [3,2,7,6,9,8,10,5,11,4,12,1] => {{1,3,4,5,6,7,8,9,10,11,12},{2}} => {{1,2,3,4,5,6,7,8,9,10,12},{11}}
[.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [3,2,6,5,9,8,10,7,11,4,12,1] => {{1,3,4,5,6,7,8,9,10,11,12},{2}} => {{1,2,3,4,5,6,7,8,9,10,12},{11}}
[.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [3,2,7,6,8,5,10,9,11,4,12,1] => {{1,3,4,5,6,7,8,9,10,11,12},{2}} => {{1,2,3,4,5,6,7,8,9,10,12},{11}}
[.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [3,2,6,5,8,7,10,9,11,4,12,1] => {{1,3,4,5,6,7,8,9,10,11,12},{2}} => {{1,2,3,4,5,6,7,8,9,10,12},{11}}
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,10,9,11,8,12,1] => {{1,3,4,5,6,7,8,9,10,11,12},{2}} => {{1,2,3,4,5,6,7,8,9,10,12},{11}}
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1,10,9,11,8,12,7] => {{1,2,3,4,5,6},{7,8,9,10,11,12}} => {{1,2,3,4,5,6},{7,8,9,10,11,12}}
[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,10,9,2] => {{1},{2,4,6,8,10},{3},{5},{7},{9}} => {{1,3,5,7,9},{2},{4},{6},{8},{10}}
[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,10,9,12,11,2] => {{1},{2,4,6,8,10,12},{3},{5},{7},{9},{11}} => {{1,3,5,7,9,11},{2},{4},{6},{8},{10},{12}}
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => {{1,2},{3,10},{4,9},{5,8},{6,7}} => {{1,8},{2,7},{3,6},{4,5},{9,10}}
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => {{1,3},{2},{4,10},{5,9},{6,8},{7}} => {{1,7},{2,6},{3,5},{4},{8,10},{9}}
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => {{1,4},{2,3},{5,10},{6,9},{7,8}} => {{1,6},{2,5},{3,4},{7,10},{8,9}}
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => {{1,5},{2,4},{3},{6,10},{7,9},{8}} => {{1,5},{2,4},{3},{6,10},{7,9},{8}}
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => {{1,6},{2,5},{3,4},{7,10},{8,9}} => {{1,4},{2,3},{5,10},{6,9},{7,8}}
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => {{1,7},{2,6},{3,5},{4},{8,10},{9}} => {{1,3},{2},{4,10},{5,9},{6,8},{7}}
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => {{1,8},{2,7},{3,6},{4,5},{9,10}} => {{1,2},{3,10},{4,9},{5,8},{6,7}}
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => {{1,7},{2,6},{3,5},{4},{8},{9}} => {{1},{2},{3,9},{4,8},{5,7},{6}}
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => {{1,6},{2,5},{3,4},{7},{8},{9}} => {{1},{2},{3},{4,9},{5,8},{6,7}}
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => {{1,5},{2,4},{3},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5,9},{6,8},{7}}
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => {{1,4},{2,3},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6,9},{7,8}}
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => {{1,3},{2},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7,9},{8}}
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => {{1,2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8,9}}
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => {{1,8},{2,7},{3,6},{4,5},{9},{10}} => {{1},{2},{3,10},{4,9},{5,8},{6,7}}
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => {{1,7},{2,6},{3,5},{4},{8},{9},{10}} => {{1},{2},{3},{4,10},{5,9},{6,8},{7}}
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => {{1,6},{2,5},{3,4},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5,10},{6,9},{7,8}}
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => {{1,5},{2,4},{3},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6,10},{7,9},{8}}
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => {{1,4},{2,3},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7,10},{8,9}}
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => {{1},{2,4},{3},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6,8},{7},{9}}
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => {{1,3},{2},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8,10},{9}}
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => {{1},{2,3},{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] => {{1,2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [6,10,9,8,7,5,4,3,2,1] => {{1,2,3,4,5,6,7,8,9,10}} => {{1,2,3,4,5,6,7,8,9,10}}
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => {{1,2,3,4,5,6,7,9},{8}} => {{1,3,4,5,6,7,8,9},{2}}
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => {{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}}
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [2,1,3,4,5,6,8,7,9] => {{1,2},{3},{4},{5},{6},{7,8},{9}} => {{1},{2,3},{4},{5},{6},{7},{8,9}}
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [2,3,4,5,6,8,9,7,1] => {{1,2,3,4,5,6,7,8,9}} => {{1,2,3,4,5,6,7,8,9}}
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => {{1,2,3,4,5,6,7,8,10},{9}} => {{1,3,4,5,6,7,8,9,10},{2}}
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => {{1,2},{3,4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6,7},{8,9}}
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [3,2,1,5,4,6,7,8,9] => {{1,3},{2},{4,5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5,6},{7,9},{8}}
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => {{1,2,3,4,5,6,7,8,9}} => {{1,2,3,4,5,6,7,8,9}}
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => {{1,2,3,4,5,6,7,8},{9}} => {{1},{2,3,4,5,6,7,8,9}}
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => {{1,2,3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7,8,9}}
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => {{1,2,3,4,5,6,7},{8},{9}} => {{1},{2},{3,4,5,6,7,8,9}}
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10] => {{1,2,3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8,9,10}}
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9] => {{1,2,4},{3},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6,8,9},{7}}
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [2,3,5,4,1,6,7,8,9] => {{1,2,3,5},{4},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5,7,8,9},{6}}
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [2,3,4,6,5,1,7,8,9] => {{1,2,3,4,6},{5},{7},{8},{9}} => {{1},{2},{3},{4,6,7,8,9},{5}}
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [2,3,4,5,7,6,1,8,9] => {{1,2,3,4,5,7},{6},{8},{9}} => {{1},{2},{3,5,6,7,8,9},{4}}
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [2,3,4,5,6,8,7,1,9] => {{1,2,3,4,5,6,8},{7},{9}} => {{1},{2,4,5,6,7,8,9},{3}}
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => {{1,2,3,4,5,6,7,8,9},{10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => {{1},{2},{3,4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6,7},{8},{9}}
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => {{1},{2},{3},{4,5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5,6},{7},{8},{9}}
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => {{1},{2},{3},{4},{5,6},{7},{8},{9}} => {{1},{2},{3},{4,5},{6},{7},{8},{9}}
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => {{1},{2},{3},{4},{5},{6,7},{8},{9}} => {{1},{2},{3,4},{5},{6},{7},{8},{9}}
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => {{1},{2},{3},{4},{5},{6},{7,8},{9}} => {{1},{2,3},{4},{5},{6},{7},{8},{9}}
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => {{1},{2,3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8,9},{10}}
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => {{1},{2},{3,4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7,8},{9},{10}}
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => {{1},{2},{3},{4,5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6,7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => {{1},{2},{3},{4},{5,6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5,6},{7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => {{1},{2},{3},{4},{5},{6,7},{8},{9},{10}} => {{1},{2},{3},{4,5},{6},{7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => {{1},{2},{3},{4},{5},{6},{7,8},{9},{10}} => {{1},{2},{3,4},{5},{6},{7},{8},{9},{10}}
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => {{1},{2},{3},{4},{5},{6},{7},{8,9},{10}} => {{1},{2,3},{4},{5},{6},{7},{8},{9},{10}}
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => {{1},{2,3,4,5,6,7,9},{8}} => {{1,3,4,5,6,7,8},{2},{9}}
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,1] => {{1,4,5,6,7,8,9},{2,3}} => {{1,2,3,4,5,6,9},{7,8}}
[.,[[[[[.,[.,[.,[.,.]]]],.],.],.],.]] => [5,4,3,2,6,7,8,9,1] => {{1,5,6,7,8,9},{2,4},{3}} => {{1,2,3,4,5,9},{6,8},{7}}
[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => [7,6,5,4,3,2,8,9,1] => {{1,7,8,9},{2,6},{3,5},{4}} => {{1,2,3,9},{4,8},{5,7},{6}}
[.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,10,1] => {{1,4,5,6,7,8,9,10},{2,3}} => {{1,2,3,4,5,6,7,10},{8,9}}
[.,[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]] => [5,4,3,2,6,7,8,9,10,1] => {{1,5,6,7,8,9,10},{2,4},{3}} => {{1,2,3,4,5,6,10},{7,9},{8}}
[.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]] => [8,7,6,5,4,3,2,9,10,1] => {{1,8,9,10},{2,7},{3,6},{4,5}} => {{1,2,3,10},{4,9},{5,8},{6,7}}
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [1,2,4,5,3,6,7,8,9] => {{1},{2},{3,4,5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5,6,7},{8},{9}}
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [1,3,2,5,4,6,7,8,9] => {{1},{2,3},{4,5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5,6},{7,8},{9}}
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => {{1,2},{3,4,5,6,7,8,9}} => {{1,2,3,4,5,6,7},{8,9}}
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => {{1},{2,3,4,5,6,7,8},{9}} => {{1},{2,3,4,5,6,7,8},{9}}
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => {{1},{2},{3},{4},{5},{6},{7},{8,10},{9}} => {{1,3},{2},{4},{5},{6},{7},{8},{9},{10}}
[[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]],.] => [6,5,7,8,4,3,2,1,9] => {{1,2,3,4,5,6,7,8},{9}} => {{1},{2,3,4,5,6,7,8,9}}
[[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]],.] => [6,5,4,7,8,3,2,1,9] => {{1,2,3,4,5,6,7,8},{9}} => {{1},{2,3,4,5,6,7,8,9}}
[[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.] => [6,5,4,3,2,7,8,1,9] => {{1,6,7,8},{2,5},{3,4},{9}} => {{1},{2,3,4,9},{5,8},{6,7}}
[[.,[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]],.] => [7,6,5,8,9,4,3,2,1,10] => {{1,3,5,7,9},{2,4,6,8},{10}} => {{1},{2,4,6,8,10},{3,5,7,9}}
[[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]],.] => [7,6,5,4,3,2,8,9,1,10] => {{1,7,8,9},{2,6},{3,5},{4},{10}} => {{1},{2,3,4,10},{5,9},{6,8},{7}}
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => {{1},{2},{3},{4},{5},{6,9},{7,8}} => {{1,4},{2,3},{5},{6},{7},{8},{9}}
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => {{1},{2},{3},{4},{5},{6,7},{8,9}} => {{1,2},{3,4},{5},{6},{7},{8},{9}}
[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,4,6,5,9,8,7] => {{1},{2},{3},{4},{5,6},{7,9},{8}} => {{1,3},{2},{4,5},{6},{7},{8},{9}}
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9] => {{1},{2},{3},{4},{5},{6},{7,8},{9,10}} => {{1,2},{3,4},{5},{6},{7},{8},{9},{10}}
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => {{1,2,7,8,9},{3,6},{4,5}} => {{1,2,3,8,9},{4,7},{5,6}}
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => {{1,2,3,4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6,7,8,9}}
[[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9,10] => {{1,2,3,4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7,8,9,10}}
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.] => [3,4,2,5,1,6,7,8,9] => {{1,2,3,4,5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5,6,7,8,9}}
[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.] => [7,6,5,8,4,3,2,1,9] => {{1,2,3,4,5,6,7,8},{9}} => {{1},{2,3,4,5,6,7,8,9}}
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [2,3,1,5,4,6,7,8,9] => {{1,2,3},{4,5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5,6},{7,8,9}}
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => {{1,3,4,5,6,7,8},{2},{9}} => {{1},{2,3,4,5,6,7,9},{8}}
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => {{1,2,3,4,5,6,7},{8,9}} => {{1,2},{3,4,5,6,7,8,9}}
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => {{1},{2,3,4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6,7,8},{9}}
[[.,.],[[.,[[[[[.,.],.],.],.],.]],.]] => [1,4,5,6,7,8,3,9,2] => {{1},{2,4,6,8,9},{3,5,7}} => {{1,2,4,6,8},{3,5,7},{9}}
[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]] => [2,1,3,5,6,7,8,9,4] => {{1,2},{3},{4,5,6,7,8,9}} => {{1,2,3,4,5,6},{7},{8,9}}
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
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].
Map
complement
Description
The complement of a set partition obtained by replacing $i$ with $n+1-i$.
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