- FindStat

Identifier

Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00240: Permutations —weak exceedance partition⟶ 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] => {{1,3},{2,4}} => {{1,3},{2,4}}

[.,[[.,.],[.,.]]] => [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] => {{1,4},{2,5},{3}} => {{1,4},{2,5},{3}}

[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => {{1,3,4},{2,5}} => {{1,4},{2,3,5}}

[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => {{1,4},{2,3,5}} => {{1,3,4},{2,5}}

[.,[.,[[[.,.],.],.]]] => [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] => {{1,2,4},{3,5}} => {{1,3},{2,4,5}}

[.,[[.,[.,.]],[.,.]]] => [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] => {{1,3},{2,4,5}} => {{1,2,4},{3,5}}

[.,[[[.,.],[.,.]],.]] => [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},{2,4},{3,5}} => {{1,3},{2,4},{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] => {{1,3},{2,4},{5}} => {{1},{2,4},{3,5}}

[[.,[[.,.],[.,.]]],.] => [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] => {{1,5},{2,6},{3,4}} => {{1,5},{2,6},{3,4}}

[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => {{1,4},{2,6},{3,5}} => {{1,5},{2,4},{3,6}}

[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => {{1,5},{2,4},{3,6}} => {{1,4},{2,6},{3,5}}

[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => {{1,4},{2,5},{3,6}} => {{1,4},{2,5},{3,6}}

[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => {{1,3,5},{2,6},{4}} => {{1,5},{2,4,6},{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] => {{1,4,5},{2,3,6}} => {{1,4,5},{2,3,6}}

[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => {{1,3,6},{2,4,5}} => {{1,4,6},{2,3,5}}

[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => {{1,5},{2,4,6},{3}} => {{1,3,5},{2,6},{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] => {{1,3,5},{2,4,6}} => {{1,3,5},{2,4,6}}

[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => {{1,5,6},{2,4},{3}}

[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => {{1,2,5},{3,6},{4}} => {{1,4},{2,5,6},{3}}

[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => {{1,2,4,5},{3,6}} => {{1,4},{2,3,5,6}}

[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => {{1,2,5},{3,4,6}} => {{1,3,4},{2,5,6}}

[.,[[.,.],[[[.,.],.],.]]] => [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] => {{1,3,5},{2},{4,6}} => {{1,3},{2,4,6},{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] => {{1,2,3,5},{4,6}} => {{1,3},{2,4,5,6}}

[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => {{1,4,6},{2,3},{5}} => {{1,3,6},{2},{4,5}}

[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => {{1,3},{2,4,6},{5}} => {{1,3,5},{2},{4,6}}

[.,[[[.,.],[.,.]],[.,.]]] => [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] => {{1,4},{2,5,6},{3}} => {{1,2,5},{3,6},{4}}

[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => {{1,3,4},{2,5,6}} => {{1,2,5},{3,4,6}}

[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => {{1,4},{2,3,5,6}} => {{1,2,4,5},{3,6}}

[.,[[.,[[[.,.],.],.]],.]] => [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] => {{1,2,4},{3,5,6}} => {{1,2,4},{3,5,6}}

[.,[[[.,[.,.]],[.,.]],.]] => [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 1027 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] => {{1,3},{2,4,5,6}} => {{1,2,3,5},{4,6}}

[.,[[[[.,.],[.,.]],.],.]] => [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},{2,5},{3,6},{4}} => {{1,4},{2,5},{3},{6}}

[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => {{1},{2,4,5},{3,6}} => {{1,4},{2,3,5},{6}}

[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => {{1},{2,5},{3,4,6}} => {{1,3,4},{2,5},{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},{2,3,5},{4,6}} => {{1,3},{2,4,5},{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},{2,4},{3,5,6}} => {{1,2,4},{3,5},{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},{3,5},{4,6}} => {{1,3},{2,4},{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},{3,5},{4,6}} => {{1,3},{2,4},{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] => {{1,3},{2,4},{5,6}} => {{1,2},{3,5},{4,6}}

[[.,[[.,.],[.,.]]],[.,.]] => [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] => {{1,4},{2,5},{3},{6}} => {{1},{2,5},{3,6},{4}}

[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => {{1,3,4},{2,5},{6}} => {{1},{2,5},{3,4,6}}

[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => {{1,4},{2,3,5},{6}} => {{1},{2,4,5},{3,6}}

[[.,[.,[[[.,.],.],.]]],.] => [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] => {{1,2,4},{3,5},{6}} => {{1},{2,4},{3,5,6}}

[[.,[[.,[.,.]],[.,.]]],.] => [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] => {{1,3},{2,4,5},{6}} => {{1},{2,3,5},{4,6}}

[[.,[[[.,.],[.,.]],.]],.] => [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},{2,4},{3,5},{6}} => {{1},{2,4},{3,5},{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] => {{1,3},{2,4},{5},{6}} => {{1},{2},{3,5},{4,6}}

[[[.,[[.,.],[.,.]]],.],.] => [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] => {{1,6},{2,7},{3,5},{4}} => {{1,6},{2,7},{3,5},{4}}

[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => {{1,5},{2,7},{3,6},{4}} => {{1,6},{2,5},{3,7},{4}}

[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => {{1,6},{2,5},{3,7},{4}} => {{1,5},{2,7},{3,6},{4}}

[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => {{1,5},{2,6},{3,7},{4}} => {{1,5},{2,6},{3,7},{4}}

[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => {{1,4,5},{2,7},{3,6}} => {{1,6},{2,5},{3,4,7}}

[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => {{1,4,5},{2,6},{3,7}} => {{1,5},{2,6},{3,4,7}}

[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => {{1,5},{2,4,6},{3,7}} => {{1,5},{2,4,6},{3,7}}

[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => {{1,4,6},{2,5},{3,7}} => {{1,5},{2,4,7},{3,6}}

[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => {{1,6},{2,5},{3,4,7}} => {{1,4,5},{2,7},{3,6}}

[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => {{1,5},{2,6},{3,4,7}} => {{1,4,5},{2,6},{3,7}}

[.,[.,[.,[[[.,.],[.,.]],.]]]] => [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] => {{1,5},{2,4,7},{3,6}} => {{1,4,6},{2,5},{3,7}}

[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => {{1,4,7},{2,5},{3,6}} => {{1,4,7},{2,5},{3,6}}

[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => {{1,3,6},{2,7},{4,5}} => {{1,6},{2,5,7},{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},{2,5},{4,6}} => {{1,5,7},{2,4},{3,6}}

[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => {{1,3,5},{2,6},{4,7}} => {{1,4},{2,6},{3,5,7}}

[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => {{1,3,6},{2,5},{4,7}} => {{1,4},{2,5,7},{3,6}}

[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => {{1,4,6},{2,3,7},{5}} => {{1,5,6},{2,4,7},{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] => {{1,3,6},{2,4,7},{5}} => {{1,4,6},{2,5,7},{3}}

[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => {{1,5,6},{2,4,7},{3}} => {{1,4,6},{2,3,7},{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] => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,3,5,7}}

[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => {{1,6},{2,5,7},{3,4}} => {{1,3,6},{2,7},{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] => {{1,4},{2,6},{3,5,7}} => {{1,3,5},{2,6},{4,7}}

[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => {{1,5,7},{2,4},{3,6}} => {{1,3,7},{2,5},{4,6}}

[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => {{1,4},{2,5,7},{3,6}} => {{1,3,6},{2,5},{4,7}}

[.,[.,[[[.,.],[.,[.,.]]],.]]] => [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] => {{1,3,6},{2,5,7},{4}} => {{1,3,6},{2,5,7},{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] => {{1,3,6},{2,4,5,7}} => {{1,3,4,6},{2,5,7}}

[.,[.,[[[.,[.,[.,.]]],.],.]]] => [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] => {{1,4,6},{2,5,7},{3}} => {{1,3,6},{2,4,7},{5}}

[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,5,7}}

[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => {{1,4,6},{2,3,5,7}} => {{1,3,5,6},{2,4,7}}

[.,[.,[[[[[.,.],.],.],.],.]]] => [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] => {{1,2,6},{3,7},{4,5}} => {{1,5},{2,6,7},{3,4}}

[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => {{1,2,5},{3,7},{4,6}} => {{1,5},{2,4},{3,6,7}}

[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => {{1,2,6},{3,5},{4,7}} => {{1,4},{2,6,7},{3,5}}

[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => {{1,2,5},{3,6},{4,7}} => {{1,4},{2,5},{3,6,7}}

[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => {{1,2,4,6},{3,7},{5}} => {{1,5},{2,4,6,7},{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] => {{1,2,5,6},{3,4,7}} => {{1,4,5},{2,3,6,7}}

[.,[[.,.],[[[.,.],.],[.,.]]]] => [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] => {{1,2,6},{3,5,7},{4}} => {{1,3,5},{2,6,7},{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] => {{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6,7}}

[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [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] => {{1,3,6},{2},{4,7},{5}} => {{1,4},{2,5,7},{3},{6}}

[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => {{1,3,5,6},{2},{4,7}} => {{1,4},{2,3,5,7},{6}}

[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => {{1,3,6},{2},{4,5,7}} => {{1,3,4},{2,5,7},{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] => {{1,2,3,6},{4,7},{5}} => {{1,4},{2,5,6,7},{3}}

[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,3,5,6,7}}

[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => {{1,2,3,6},{4,5,7}} => {{1,3,4},{2,5,6,7}}

[.,[[[.,.],.],[[[.,.],.],.]]] => [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] => {{1,4,6},{2,3},{5,7}} => {{1,3},{2,4,7},{5,6}}

[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => {{1,3},{2,4,7},{5,6}} => {{1,4,6},{2,3},{5,7}}

[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => {{1,3},{2,4,6},{5,7}} => {{1,3},{2,4,6},{5,7}}

[.,[[[.,.],[.,.]],[.,[.,.]]]] => [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] => {{1,2,4,6},{3},{5,7}} => {{1,3},{2,4,6,7},{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] => {{1,3,4,6},{2},{5,7}} => {{1,3},{2,4,5,7},{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] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4,5,6,7}}

[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [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] => {{1,4},{2,5,7},{3},{6}} => {{1,3,6},{2},{4,7},{5}}

[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => {{1,3,4},{2,5,7},{6}} => {{1,3,6},{2},{4,5,7}}

[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => {{1,4},{2,3,5,7},{6}} => {{1,3,5,6},{2},{4,7}}

[.,[[.,[[[.,.],.],.]],[.,.]]] => [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] => {{1,2,4},{3,5,7},{6}} => {{1,3,5},{2},{4,6,7}}

[.,[[[.,[.,.]],[.,.]],[.,.]]] => [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] => {{1,3},{2,4,5,7},{6}} => {{1,3,4,6},{2},{5,7}}

[.,[[[[.,.],[.,.]],.],[.,.]]] => [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] => {{1,5},{2,6,7},{3,4}} => {{1,2,6},{3,7},{4,5}}

[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => {{1,4},{2,6,7},{3,5}} => {{1,2,6},{3,5},{4,7}}

[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => {{1,5},{2,4},{3,6,7}} => {{1,2,5},{3,7},{4,6}}

[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => {{1,4},{2,5},{3,6,7}} => {{1,2,5},{3,6},{4,7}}

[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => {{1,3,5},{2,6,7},{4}} => {{1,2,6},{3,5,7},{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] => {{1,4,5},{2,3,6,7}} => {{1,2,5,6},{3,4,7}}

[.,[[.,[[[.,.],.],[.,.]]],.]] => [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] => {{1,5},{2,4,6,7},{3}} => {{1,2,4,6},{3,7},{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] => {{1,3,5},{2,4,6,7}} => {{1,2,4,6},{3,5,7}}

[.,[[[.,.],[.,[.,[.,.]]]],.]] => [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] => {{1,2,5},{3,6,7},{4}} => {{1,2,5},{3,6,7},{4}}

[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => {{1,2,4,5},{3,6,7}} => {{1,2,5},{3,4,6,7}}

[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => {{1,2,5},{3,4,6,7}} => {{1,2,4,5},{3,6,7}}

[.,[[[.,.],[[[.,.],.],.]],.]] => [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] => {{1,3,5},{2},{4,6,7}} => {{1,2,4},{3,5,7},{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] => {{1,2,3,5},{4,6,7}} => {{1,2,4},{3,5,6,7}}

[.,[[[.,[.,[.,.]]],[.,.]],.]] => [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] => {{1,3},{2,4,6,7},{5}} => {{1,2,4,6},{3},{5,7}}

[.,[[[[.,.],[.,.]],[.,.]],.]] => [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] => {{1,4},{2,5,6,7},{3}} => {{1,2,3,6},{4,7},{5}}

[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => {{1,3,4},{2,5,6,7}} => {{1,2,3,6},{4,5,7}}

[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => {{1,4},{2,3,5,6,7}} => {{1,2,3,5,6},{4,7}}

[.,[[[.,[[[.,.],.],.]],.],.]] => [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] => {{1,2,4},{3,5,6,7}} => {{1,2,3,5},{4,6,7}}

[.,[[[[.,[.,.]],[.,.]],.],.]] => [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] => {{1,3},{2,4,5,6,7}} => {{1,2,3,4,6},{5,7}}

[.,[[[[[.,.],[.,.]],.],.],.]] => [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},{2,6},{3,7},{4,5}} => {{1,5},{2,6},{3,4},{7}}

[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => {{1},{2,5},{3,7},{4,6}} => {{1,5},{2,4},{3,6},{7}}

[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => {{1},{2,6},{3,5},{4,7}} => {{1,4},{2,6},{3,5},{7}}

[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => {{1},{2,5},{3,6},{4,7}} => {{1,4},{2,5},{3,6},{7}}

[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => {{1},{2,4,6},{3,7},{5}} => {{1,5},{2,4,6},{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},{2,5,6},{3,4,7}} => {{1,4,5},{2,3,6},{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},{2,6},{3,5,7},{4}} => {{1,3,5},{2,6},{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},{2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{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},{2,3,6},{4,7},{5}} => {{1,4},{2,5,6},{3},{7}}

[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => {{1},{2,3,5,6},{4,7}} => {{1,4},{2,3,5,6},{7}}

[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => {{1},{2,3,6},{4,5,7}} => {{1,3,4},{2,5,6},{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},{2,4,6},{3},{5,7}} => {{1,3},{2,4,6},{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},{2,3,4,6},{5,7}} => {{1,3},{2,4,5,6},{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},{2,4},{3,5,7},{6}} => {{1,3,5},{2},{4,6},{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},{2,5},{3,6,7},{4}} => {{1,2,5},{3,6},{4},{7}}

[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => {{1},{2,4,5},{3,6,7}} => {{1,2,5},{3,4,6},{7}}

[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => {{1},{2,5},{3,4,6,7}} => {{1,2,4,5},{3,6},{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},{2,3,5},{4,6,7}} => {{1,2,4},{3,5,6},{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},{2,4},{3,5,6,7}} => {{1,2,3,5},{4,6},{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},{3,6},{4,7},{5}} => {{1,4},{2,5},{3},{6,7}}

[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => {{1,2},{3,5,6},{4,7}} => {{1,4},{2,3,5},{6,7}}

[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => {{1,2},{3,6},{4,5,7}} => {{1,3,4},{2,5},{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},{3,4,6},{5,7}} => {{1,3},{2,4,5},{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},{3,5},{4,6,7}} => {{1,2,4},{3,5},{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},{3,6},{4,7},{5}} => {{1,4},{2,5},{3},{6},{7}}

[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => {{1},{2},{3,5,6},{4,7}} => {{1,4},{2,3,5},{6},{7}}

[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => {{1},{2},{3,6},{4,5,7}} => {{1,3,4},{2,5},{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},{3,4,6},{5,7}} => {{1,3},{2,4,5},{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},{3,5},{4,6,7}} => {{1,2,4},{3,5},{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},{4,6},{5,7}} => {{1,3},{2,4},{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},{4,6},{5,7}} => {{1,3},{2,4},{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},{4,6},{5,7}} => {{1,3},{2,4},{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},{4,6},{5,7}} => {{1,3},{2,4},{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},{4,6},{5,7}} => {{1,3},{2,4},{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] => {{1,3},{2,4},{5,7},{6}} => {{1,3},{2},{4,6},{5,7}}

[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => {{1,3},{2,4},{5,6,7}} => {{1,2,3},{4,6},{5,7}}

[[.,[[.,.],[.,.]]],[.,[.,.]]] => [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] => {{1,4},{2,5},{3},{6,7}} => {{1,2},{3,6},{4,7},{5}}

[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => {{1,3,4},{2,5},{6,7}} => {{1,2},{3,6},{4,5,7}}

[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => {{1,4},{2,3,5},{6,7}} => {{1,2},{3,5,6},{4,7}}

[[.,[.,[[[.,.],.],.]]],[.,.]] => [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] => {{1,2,4},{3,5},{6,7}} => {{1,2},{3,5},{4,6,7}}

[[.,[[.,[.,.]],[.,.]]],[.,.]] => [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] => {{1,3},{2,4,5},{6,7}} => {{1,2},{3,4,6},{5,7}}

[[.,[[[.,.],[.,.]],.]],[.,.]] => [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},{2,4},{3,5},{6,7}} => {{1,2},{3,5},{4,6},{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] => {{1,3},{2,4},{5},{6,7}} => {{1,2},{3},{4,6},{5,7}}

[[[.,[[.,.],[.,.]]],.],[.,.]] => [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] => {{1,5},{2,6},{3,4},{7}} => {{1},{2,6},{3,7},{4,5}}

[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => {{1,4},{2,6},{3,5},{7}} => {{1},{2,6},{3,5},{4,7}}

[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => {{1,5},{2,4},{3,6},{7}} => {{1},{2,5},{3,7},{4,6}}

[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => {{1,4},{2,5},{3,6},{7}} => {{1},{2,5},{3,6},{4,7}}

[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => {{1,3,5},{2,6},{4},{7}} => {{1},{2,6},{3,5,7},{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] => {{1,4,5},{2,3,6},{7}} => {{1},{2,5,6},{3,4,7}}

[[.,[.,[[[.,.],.],[.,.]]]],.] => [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] => {{1,5},{2,4,6},{3},{7}} => {{1},{2,4,6},{3,7},{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] => {{1,3,5},{2,4,6},{7}} => {{1},{2,4,6},{3,5,7}}

[[.,[[.,.],[.,[.,[.,.]]]]],.] => [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] => {{1,2,5},{3,6},{4},{7}} => {{1},{2,5},{3,6,7},{4}}

[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => {{1,2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6,7}}

[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => {{1,2,5},{3,4,6},{7}} => {{1},{2,4,5},{3,6,7}}

[[.,[[.,.],[[[.,.],.],.]]],.] => [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] => {{1,3,5},{2},{4,6},{7}} => {{1},{2,4},{3,5,7},{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] => {{1,2,3,5},{4,6},{7}} => {{1},{2,4},{3,5,6,7}}

[[.,[[.,[.,[.,.]]],[.,.]]],.] => [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] => {{1,3},{2,4,6},{5},{7}} => {{1},{2,4,6},{3},{5,7}}

[[.,[[[.,.],[.,.]],[.,.]]],.] => [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] => {{1,4},{2,5,6},{3},{7}} => {{1},{2,3,6},{4,7},{5}}

[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => {{1,3,4},{2,5,6},{7}} => {{1},{2,3,6},{4,5,7}}

[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => {{1,4},{2,3,5,6},{7}} => {{1},{2,3,5,6},{4,7}}

[[.,[[.,[[[.,.],.],.]],.]],.] => [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] => {{1,2,4},{3,5,6},{7}} => {{1},{2,3,5},{4,6,7}}

[[.,[[[.,[.,.]],[.,.]],.]],.] => [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] => {{1,3},{2,4,5,6},{7}} => {{1},{2,3,4,6},{5,7}}

[[.,[[[[.,.],[.,.]],.],.]],.] => [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},{2,5},{3,6},{4},{7}} => {{1},{2,5},{3,6},{4},{7}}

[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => {{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}}

[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => {{1},{2,5},{3,4,6},{7}} => {{1},{2,4,5},{3,6},{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},{2,3,5},{4,6},{7}} => {{1},{2,4},{3,5,6},{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},{2,4},{3,5,6},{7}} => {{1},{2,3,5},{4,6},{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},{3,5},{4,6},{7}} => {{1},{2,4},{3,5},{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},{3,5},{4,6},{7}} => {{1},{2,4},{3,5},{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] => {{1,3},{2,4},{5,6},{7}} => {{1},{2,3},{4,6},{5,7}}

[[[.,[[.,.],[.,.]]],[.,.]],.] => [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] => {{1,4},{2,5},{3},{6},{7}} => {{1},{2},{3,6},{4,7},{5}}

[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => {{1,3,4},{2,5},{6},{7}} => {{1},{2},{3,6},{4,5,7}}

[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => {{1,4},{2,3,5},{6},{7}} => {{1},{2},{3,5,6},{4,7}}

[[[.,[.,[[[.,.],.],.]]],.],.] => [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] => {{1,2,4},{3,5},{6},{7}} => {{1},{2},{3,5},{4,6,7}}

[[[.,[[.,[.,.]],[.,.]]],.],.] => [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] => {{1,3},{2,4,5},{6},{7}} => {{1},{2},{3,4,6},{5,7}}

[[[.,[[[.,.],[.,.]],.]],.],.] => [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},{2,4},{3,5},{6},{7}} => {{1},{2},{3,5},{4,6},{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] => {{1,3},{2,4},{5},{6},{7}} => {{1},{2},{3},{4,6},{5,7}}

[[[[.,[[.,.],[.,.]]],.],.],.] => [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] => {{1,7},{2,8},{3,6},{4,5}} => {{1,7},{2,8},{3,6},{4,5}}

[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => {{1,7},{2,6},{3,8},{4,5}} => {{1,6},{2,8},{3,7},{4,5}}

[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => {{1,6},{2,7},{3,8},{4,5}} => {{1,6},{2,7},{3,8},{4,5}}

[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => {{1,5},{2,8},{3,7},{4,6}} => {{1,7},{2,6},{3,5},{4,8}}

[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => {{1,6},{2,5},{3,8},{4,7}} => {{1,6},{2,5},{3,8},{4,7}}

[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => {{1,7},{2,6},{3,5},{4,8}} => {{1,5},{2,8},{3,7},{4,6}}

[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => {{1,6},{2,5},{3,7},{4,8}} => {{1,5},{2,6},{3,8},{4,7}}

[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => {{1,5},{2,6},{3,7},{4,8}} => {{1,5},{2,6},{3,7},{4,8}}

[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => {{1,4,6},{2,8},{3,7},{5}} => {{1,7},{2,6},{3,5,8},{4}}

[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => {{1,7},{2,6},{3,5,8},{4}} => {{1,4,6},{2,8},{3,7},{5}}

[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => {{1,6},{2,5,8},{3,7},{4}} => {{1,4,7},{2,6},{3,8},{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}}

[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => {{1,4,7},{2,5,8},{3,6}} => {{1,4,7},{2,5,8},{3,6}}

[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => {{1,3,6},{2,7},{4,8},{5}} => {{1,5},{2,7},{3,6,8},{4}}

[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => {{1,3,8},{2,5,6},{4,7}} => {{1,6,8},{2,5},{3,4,7}}

[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => {{1,3,6},{2,5,7},{4,8}} => {{1,5},{2,4,7},{3,6,8}}

[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => {{1,3,6},{2,5,8},{4,7}} => {{1,4,7},{2,5},{3,6,8}}

[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => {{1,3,8},{2,4,7},{5,6}} => {{1,6,8},{2,5,7},{3,4}}

[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => {{1,3,5,7},{2,4,8},{6}} => {{1,5,7},{2,4,6,8},{3}}

[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => {{1,4,5,8},{2,3,6,7}} => {{1,4,5,8},{2,3,6,7}}

[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => {{1,7},{2,6,8},{3,5},{4}} => {{1,3,7},{2,8},{4,6},{5}}

[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => {{1,5},{2,7},{3,6,8},{4}} => {{1,3,6},{2,7},{4,8},{5}}

[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => {{1,5},{2,4,7},{3,6,8}} => {{1,3,6},{2,5,7},{4,8}}

[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => {{1,4,7},{2,5},{3,6,8}} => {{1,3,6},{2,5,8},{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}}

[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => {{1,2,7},{3,8},{4,6},{5}} => {{1,6},{2,7,8},{3,5},{4}}

[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => {{1,2,6},{3,8},{4,7},{5}} => {{1,6},{2,5},{3,7,8},{4}}

[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => {{1,2,5,8},{3,6},{4,7}} => {{1,4,7,8},{2,5},{3,6}}

[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => {{1,2,4,7},{3,8},{5,6}} => {{1,6},{2,5,7,8},{3,4}}

[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => {{1,2,4,8},{3,6},{5,7}} => {{1,5,7,8},{2,4},{3,6}}

[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => {{1,2,7},{3,6,8},{4,5}} => {{1,3,6},{2,7,8},{4,5}}

[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => {{1,2,3,5,8},{4,6,7}} => {{1,4,6,7,8},{2,3,5}}

[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => {{1,2,3,5,7},{4,6,8}} => {{1,3,5},{2,4,6,7,8}}

[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => {{1,4,8},{2,3},{5,7},{6}} => {{1,5,8},{2,4},{3},{6,7}}

[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => {{1,3},{2,4,8},{5,7},{6}} => {{1,5,7},{2,4},{3},{6,8}}

[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => {{1,2,4,8},{3},{5,7},{6}} => {{1,5,7,8},{2,4},{3},{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}}

[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [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] => {{1,5,7},{2,4},{3},{6,8}} => {{1,3},{2,4,8},{5,7},{6}}

[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [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] => {{1,2,5,7},{3,4},{6,8}} => {{1,3},{2,4,7,8},{5,6}}

[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => {{1,2,4},{3,5,7},{6,8}} => {{1,3},{2,4,6},{5,7,8}}

[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => {{1,3},{2,4,5,7},{6,8}} => {{1,3},{2,4,5,7},{6,8}}

[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => {{1,4,5},{2,3,6,8},{7}} => {{1,3,6,7},{2},{4,5,8}}

[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => {{1,3,6,8},{2},{4,5},{7}} => {{1,3,6,8},{2},{4,5},{7}}

[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => {{1,2,4,6,8},{3},{5},{7}} => {{1,3,5,7,8},{2},{4},{6}}

[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [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}}

[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => {{1,2,4,5,6,8},{3},{7}} => {{1,3,4,5,7,8},{2},{6}}

[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [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] => {{1,6},{2,7,8},{3,5},{4}} => {{1,2,7},{3,8},{4,6},{5}}

[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => {{1,6},{2,5},{3,7,8},{4}} => {{1,2,6},{3,8},{4,7},{5}}

[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => {{1,4,7,8},{2,5},{3,6}} => {{1,2,5,8},{3,6},{4,7}}

[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => {{1,6},{2,5,7,8},{3,4}} => {{1,2,4,7},{3,8},{5,6}}

[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => {{1,5,7,8},{2,4},{3,6}} => {{1,2,4,8},{3,6},{5,7}}

[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => {{1,4,5,7,8},{2,3,6}} => {{1,2,4,5,8},{3,6,7}}

[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => {{1,2,5,6},{3,4,7,8}} => {{1,2,5,6},{3,4,7,8}}

[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => {{1,2,5,7,8},{3,4,6}} => {{1,2,4,7,8},{3,5,6}}

[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => {{1,3,6},{2},{4,5,7,8}} => {{1,2,4,5},{3,6,8},{7}}

[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => {{1,4,7,8},{2,3},{5,6}} => {{1,2,5,8},{3,4},{6,7}}

[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => {{1,3},{2,4,6},{5,7,8}} => {{1,2,4},{3,5,7},{6,8}}

[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => {{1,2,4,7,8},{3},{5,6}} => {{1,2,5,7,8},{3,4},{6}}

[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [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}}

[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => {{1,5,7,8},{2,4},{3},{6}} => {{1,2,4,8},{3},{5,7},{6}}

[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => {{1,4},{2,3,5,7,8},{6}} => {{1,2,4,6,7},{3},{5,8}}

[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [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}}

[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => {{1,3,4,5,7,8},{2},{6}} => {{1,2,4,5,6,8},{3},{7}}

[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => {{1,2,4,6,7,8},{3},{5}} => {{1,2,3,5,7,8},{4},{6}}

[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => {{1,5,6,7,8},{2,4},{3}} => {{1,2,3,4,8},{5,7},{6}}

[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [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}}

[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [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] => {{1,3},{2,4,5,6,7,8}} => {{1,2,3,4,5,7},{6,8}}

[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [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},{2,7},{3,8},{4,6},{5}} => {{1,6},{2,7},{3,5},{4},{8}}

[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => {{1},{2,6},{3,8},{4,7},{5}} => {{1,6},{2,5},{3,7},{4},{8}}

[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => {{1},{2,7},{3,6},{4,8},{5}} => {{1,5},{2,7},{3,6},{4},{8}}

[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => {{1},{2,6},{3,7},{4,8},{5}} => {{1,5},{2,6},{3,7},{4},{8}}

[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => {{1},{2,5,6},{3,8},{4,7}} => {{1,6},{2,5},{3,4,7},{8}}

[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => {{1},{2,7},{3,6},{4,5,8}} => {{1,4,5},{2,7},{3,6},{8}}

[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => {{1},{2,5,8},{3,6},{4,7}} => {{1,4,7},{2,5},{3,6},{8}}

[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => {{1},{2,4,7},{3,8},{5,6}} => {{1,6},{2,5,7},{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}}

[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => {{1},{2,3,5,8},{4,7},{6}} => {{1,4,6,7},{2,5},{3},{8}}

[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => {{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},{2,3,5,7},{4,6,8}} => {{1,3,5},{2,4,6,7},{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},{2,4,7},{3},{5,8},{6}} => {{1,4},{2,5,7},{3},{6},{8}}

[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => {{1},{2,4,7},{3},{5,6,8}} => {{1,3,4},{2,5,7},{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},{2,3,4,7},{5,6,8}} => {{1,3,4},{2,5,6,7},{8}}

[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => {{1},{2,3,4,5,7},{6,8}} => {{1,3},{2,4,5,6,7},{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},{2,5},{3,6,8},{4},{7}} => {{1,3,6},{2},{4,7},{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}}

[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => {{1},{2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7},{2},{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},{2,4},{3,5,6,7,8}} => {{1,2,3,4,6},{5,7},{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}}

[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => {{1,2},{3,6},{4,7},{5,8}} => {{1,4},{2,5},{3,6},{7,8}}

[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => {{1,2},{3,6,7},{4,5,8}} => {{1,4,5},{2,3,6},{7,8}}

[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => {{1,2},{3,7},{4,6,8},{5}} => {{1,3,5},{2,6},{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}}

[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => {{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},{3,5,7},{4,6,8}} => {{1,3,5},{2,4,6},{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},{3,4,7},{5,8},{6}} => {{1,4},{2,5,6},{3},{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},{3,4,5,7},{6,8}} => {{1,3},{2,4,5,6},{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}}

[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => {{1,2},{3,6},{4,5,7,8}} => {{1,2,4,5},{3,6},{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}}

[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => {{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},{3,6},{4,7},{5,8}} => {{1,4},{2,5},{3,6},{7},{8}}

[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => {{1},{2},{3,5,7},{4,6,8}} => {{1,3,5},{2,4,6},{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}}

[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => {{1},{2},{3,4,6,8},{5,7}} => {{1,3,5,6},{2,4},{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},{3,5},{4,6,7,8}} => {{1,2,3,5},{4,6},{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},{4,7},{5,8},{6}} => {{1,4},{2,5},{3},{6,8},{7}}

[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => {{1,3},{2},{4,6,7},{5,8}} => {{1,4},{2,3,5},{6,8},{7}}

[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => {{1,3},{2},{4,7},{5,6,8}} => {{1,3,4},{2,5},{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},{4,5,7},{6,8}} => {{1,3},{2,4,5},{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},{4,6},{5,7,8}} => {{1,2,4},{3,5},{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}}

[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => {{1},{2,3},{4,8},{5,7},{6}} => {{1,5},{2,4},{3},{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}}

[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [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},{4,7},{5,8},{6}} => {{1,4},{2,5},{3},{6},{7},{8}}

[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => {{1},{2},{3},{4,6,7},{5,8}} => {{1,4},{2,3,5},{6},{7},{8}}

[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => {{1},{2},{3},{4,7},{5,6,8}} => {{1,3,4},{2,5},{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},{4,5,7},{6,8}} => {{1,3},{2,4,5},{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},{4,6},{5,7,8}} => {{1,2,4},{3,5},{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},{5,7},{6,8}} => {{1,3},{2,4},{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] => {{1,3},{2,4},{5,8},{6,7}} => {{1,4},{2,3},{5,7},{6,8}}

[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => {{1,3},{2,4},{5,7},{6,8}} => {{1,3},{2,4},{5,7},{6,8}}

[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => {{1,3},{2,4},{5,6,8},{7}} => {{1,3,4},{2},{5,7},{6,8}}

[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => {{1,3},{2,4},{5,7,8},{6}} => {{1,2,4},{3},{5,7},{6,8}}

[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => {{1,3},{2,4},{5,6,7,8}} => {{1,2,3,4},{5,7},{6,8}}

[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [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},{5,7},{6,8}} => {{1,3},{2,4},{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},{5,7},{6,8}} => {{1,3},{2,4},{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},{5,7},{6,8}} => {{1,3},{2,4},{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}}

[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => {{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}}

[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => {{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},{5,7},{6,8}} => {{1,3},{2,4},{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}}

[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => {{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},{5,7},{6,8}} => {{1,3},{2,4},{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}}

[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => {{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},{5,7},{6,8}} => {{1,3},{2,4},{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},{5,7},{6,8}} => {{1,3},{2,4},{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] => {{1,4},{2,5},{3},{6,8},{7}} => {{1,3},{2},{4,7},{5,8},{6}}

[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => {{1,3,4},{2,5},{6,8},{7}} => {{1,3},{2},{4,7},{5,6,8}}

[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => {{1,4},{2,3,5},{6,8},{7}} => {{1,3},{2},{4,6,7},{5,8}}

[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [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}}

[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => {{1,2,4},{3,5},{6,8},{7}} => {{1,3},{2},{4,6},{5,7,8}}

[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => {{1,3,5},{2},{4},{6,8},{7}} => {{1,3},{2},{4,6,8},{5},{7}}

[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [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] => {{1,3},{2,4,5},{6,8},{7}} => {{1,3},{2},{4,5,7},{6,8}}

[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => {{1,2,4,5},{3},{6,8},{7}} => {{1,3},{2},{4,5,7,8},{6}}

[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [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}}

[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [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}}

[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [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}}

[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => {{1,3},{2},{4},{5},{6,8},{7}} => {{1,3},{2},{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}}

[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => {{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] => {{1,5},{2,6},{3,4},{7,8}} => {{1,2},{3,7},{4,8},{5,6}}

[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => {{1,4},{2,5},{3,6},{7,8}} => {{1,2},{3,6},{4,7},{5,8}}

[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => {{1,3,5},{2,6},{4},{7,8}} => {{1,2},{3,7},{4,6,8},{5}}

[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => {{1,4,5},{2,3,6},{7,8}} => {{1,2},{3,6,7},{4,5,8}}

[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => {{1,5},{2,4,6},{3},{7,8}} => {{1,2},{3,5,7},{4,8},{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}}

[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => {{1,2,3,6},{4,5},{7,8}} => {{1,2},{3,6,7,8},{4,5}}

[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => {{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] => {{1,4},{2,5,6},{3},{7,8}} => {{1,2},{3,4,7},{5,8},{6}}

[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => {{1,4},{2,3,5,6},{7,8}} => {{1,2},{3,4,6,7},{5,8}}

[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [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}}

[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => {{1,2},{3,4,5,6,7,8}}

[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => {{1},{2,5},{3,6},{4},{7,8}} => {{1,2},{3,6},{4,7},{5},{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},{3,5},{4,6},{7,8}} => {{1,2},{3,5},{4,6},{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}}

[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [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] => {{1,3},{2,4},{5,6},{7,8}} => {{1,2},{3,4},{5,7},{6,8}}

[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [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}}

[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => {{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}}

[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => {{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}}

[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [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] => {{1,6},{2,7},{3,5},{4},{8}} => {{1},{2,7},{3,8},{4,6},{5}}

[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => {{1,5},{2,7},{3,6},{4},{8}} => {{1},{2,7},{3,6},{4,8},{5}}

[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => {{1,6},{2,5},{3,7},{4},{8}} => {{1},{2,6},{3,8},{4,7},{5}}

[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => {{1,5},{2,6},{3,7},{4},{8}} => {{1},{2,6},{3,7},{4,8},{5}}

[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => {{1,4,5},{2,7},{3,6},{8}} => {{1},{2,7},{3,6},{4,5,8}}

[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => {{1,6},{2,5},{3,4,7},{8}} => {{1},{2,5,6},{3,8},{4,7}}

[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => {{1,4,7},{2,5},{3,6},{8}} => {{1},{2,5,8},{3,6},{4,7}}

[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => {{1,3,7},{2,4,6},{5},{8}} => {{1},{2,6,8},{3,5,7},{4}}

[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [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] => {{1,3,6},{2},{4,7},{5},{8}} => {{1},{2,5},{3,6,8},{4},{7}}

[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [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] => {{1,4},{2,5,7},{3},{6},{8}} => {{1},{2,4,7},{3},{5,8},{6}}

[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => {{1,3,4},{2,5,7},{6},{8}} => {{1},{2,4,7},{3},{5,6,8}}

[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => {{1,3,5,7},{2},{4},{6},{8}} => {{1},{2,4,6,8},{3},{5},{7}}

[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => {{1,2,3,4,5,7},{6},{8}} => {{1},{2,4,5,6,7,8},{3}}

[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => {{1,4,6,7},{2,5},{3},{8}} => {{1},{2,3,5,8},{4,7},{6}}

[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [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] => {{1,3,4},{2,5,6,7},{8}} => {{1},{2,3,4,7},{5,6,8}}

[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [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}}

[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,4},{3,5,6,7},{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}}

[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => {{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}}

[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => {{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}}

[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => {{1,5},{2,4},{3},{6,7},{8}} => {{1},{2,3},{4,8},{5,7},{6}}

[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [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}}

[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => {{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}}

[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [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] => {{1,4},{2,5,6},{3},{7},{8}} => {{1},{2},{3,4,7},{5,8},{6}}

[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => {{1,2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7,8}}

[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => {{1},{2},{3,4,6},{5},{7},{8}} => {{1},{2},{3,5,6},{4},{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}}

[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => {{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}}

[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => {{1,3,5},{2},{4},{6},{7},{8}} => {{1},{2},{3},{4,6,8},{5},{7}}

[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => {{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}}

[[[[[[[.,.],.],.],[.,.]],.],.],.] => [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}}

[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => {{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}}

[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => {{1,3},{2},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6,8},{7}}

[[[[[[[.,.],[.,.]],.],.],.],.],.] => [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}}

[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [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}}

[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => {{1,6},{2,7},{3,8},{4,9},{5,10}} => {{1,6},{2,7},{3,8},{4,9},{5,10}}

[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [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}}

[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => {{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}}

[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => {{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}}

[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [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}}

[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => {{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}}

[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [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}}

[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [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}}

[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [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}}

[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [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}}

[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [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}}

[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [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}}

[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [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}}

[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => {{1,2,3,4,5,6,7,8},{9}} => {{1},{2,3,4,5,6,7,8,9}}

[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => {{1,2,3,4,5,6,7},{8},{9}} => {{1},{2},{3,4,5,6,7,8,9}}

[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => {{1,2,3,4,5,6,7,8,9},{10}} => {{1},{2,3,4,5,6,7,8,9,10}}

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.

Map

weak exceedance partition

Description

The set partition induced by the weak exceedances of a permutation.
This is the coarsest set partition that contains all arcs $(i, \pi(i))$ with $i\leq\pi(i)$.

Map

complement

Description

The complement of a set partition obtained by replacing $i$ with $n+1-i$.