Identifier
Mp00018:
Binary trees
—left border symmetry⟶
Binary trees
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00240: Permutations —weak exceedance partition⟶ Set partitions
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00240: Permutations —weak exceedance partition⟶ Set partitions
Images
[.,.] => [.,.] => [1] => {{1}}
[.,[.,.]] => [.,[.,.]] => [2,1] => {{1,2}}
[[.,.],.] => [[.,.],.] => [1,2] => {{1},{2}}
[.,[.,[.,.]]] => [.,[.,[.,.]]] => [3,2,1] => {{1,3},{2}}
[.,[[.,.],.]] => [.,[[.,.],.]] => [2,3,1] => {{1,2,3}}
[[.,.],[.,.]] => [[.,[.,.]],.] => [2,1,3] => {{1,2},{3}}
[[.,[.,.]],.] => [[.,.],[.,.]] => [1,3,2] => {{1},{2,3}}
[[[.,.],.],.] => [[[.,.],.],.] => [1,2,3] => {{1},{2},{3}}
[.,[.,[.,[.,.]]]] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => {{1,4},{2,3}}
[.,[.,[[.,.],.]]] => [.,[.,[[.,.],.]]] => [3,4,2,1] => {{1,3},{2,4}}
[.,[[.,.],[.,.]]] => [.,[[.,[.,.]],.]] => [3,2,4,1] => {{1,3,4},{2}}
[.,[[.,[.,.]],.]] => [.,[[.,.],[.,.]]] => [2,4,3,1] => {{1,2,4},{3}}
[.,[[[.,.],.],.]] => [.,[[[.,.],.],.]] => [2,3,4,1] => {{1,2,3,4}}
[[.,.],[.,[.,.]]] => [[.,[.,[.,.]]],.] => [3,2,1,4] => {{1,3},{2},{4}}
[[.,.],[[.,.],.]] => [[.,[[.,.],.]],.] => [2,3,1,4] => {{1,2,3},{4}}
[[.,[.,.]],[.,.]] => [[.,[.,.]],[.,.]] => [2,1,4,3] => {{1,2},{3,4}}
[[[.,.],.],[.,.]] => [[[.,[.,.]],.],.] => [2,1,3,4] => {{1,2},{3},{4}}
[[.,[.,[.,.]]],.] => [[.,.],[.,[.,.]]] => [1,4,3,2] => {{1},{2,4},{3}}
[[.,[[.,.],.]],.] => [[.,.],[[.,.],.]] => [1,3,4,2] => {{1},{2,3,4}}
[[[.,.],[.,.]],.] => [[[.,.],[.,.]],.] => [1,3,2,4] => {{1},{2,3},{4}}
[[[.,[.,.]],.],.] => [[[.,.],.],[.,.]] => [1,2,4,3] => {{1},{2},{3,4}}
[[[[.,.],.],.],.] => [[[[.,.],.],.],.] => [1,2,3,4] => {{1},{2},{3},{4}}
[.,[.,[.,[.,[.,.]]]]] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => {{1,5},{2,4},{3}}
[.,[.,[.,[[.,.],.]]]] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => {{1,4},{2,5},{3}}
[.,[.,[[.,.],[.,.]]]] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => {{1,4},{2,3,5}}
[.,[.,[[.,[.,.]],.]]] => [.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => {{1,3,4},{2,5}}
[.,[.,[[[.,.],.],.]]] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => {{1,3,5},{2,4}}
[.,[[.,.],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => {{1,4,5},{2,3}}
[.,[[.,.],[[.,.],.]]] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => {{1,3},{2,4,5}}
[.,[[.,[.,.]],[.,.]]] => [.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => {{1,3,5},{2},{4}}
[.,[[[.,.],.],[.,.]]] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => {{1,3,4,5},{2}}
[.,[[.,[.,[.,.]]],.]] => [.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => {{1,2,5},{3,4}}
[.,[[.,[[.,.],.]],.]] => [.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => {{1,2,4},{3,5}}
[.,[[[.,.],[.,.]],.]] => [.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => {{1,2,4,5},{3}}
[.,[[[.,[.,.]],.],.]] => [.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => {{1,2,3,5},{4}}
[.,[[[[.,.],.],.],.]] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => {{1,2,3,4,5}}
[[.,.],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => {{1,4},{2,3},{5}}
[[.,.],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => {{1,3},{2,4},{5}}
[[.,.],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => {{1,3,4},{2},{5}}
[[.,.],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => {{1,2,4},{3},{5}}
[[.,.],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => {{1,2,3,4},{5}}
[[.,[.,.]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => {{1,3},{2},{4,5}}
[[.,[.,.]],[[.,.],.]] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => {{1,2,3},{4,5}}
[[[.,.],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => {{1,3},{2},{4},{5}}
[[[.,.],.],[[.,.],.]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => {{1,2,3},{4},{5}}
[[.,[.,[.,.]]],[.,.]] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => {{1,2},{3,5},{4}}
[[.,[[.,.],.]],[.,.]] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => {{1,2},{3,4,5}}
[[[.,.],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => {{1,2},{3,4},{5}}
[[[.,[.,.]],.],[.,.]] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => {{1,2},{3},{4,5}}
[[[[.,.],.],.],[.,.]] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => {{1,2},{3},{4},{5}}
[[.,[.,[.,[.,.]]]],.] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => {{1},{2,5},{3,4}}
[[.,[.,[[.,.],.]]],.] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => {{1},{2,4},{3,5}}
[[.,[[.,.],[.,.]]],.] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => {{1},{2,4,5},{3}}
[[.,[[.,[.,.]],.]],.] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => {{1},{2,3,5},{4}}
[[.,[[[.,.],.],.]],.] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => {{1},{2,3,4,5}}
[[[.,.],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => {{1},{2,4},{3},{5}}
[[[.,.],[[.,.],.]],.] => [[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => {{1},{2,3,4},{5}}
[[[.,[.,.]],[.,.]],.] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => {{1},{2,3},{4,5}}
[[[[.,.],.],[.,.]],.] => [[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => {{1},{2,3},{4},{5}}
[[[.,[.,[.,.]]],.],.] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => {{1},{2},{3,5},{4}}
[[[.,[[.,.],.]],.],.] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => {{1},{2},{3,4,5}}
[[[[.,.],[.,.]],.],.] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => {{1},{2},{3,4},{5}}
[[[[.,[.,.]],.],.],.] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => {{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}}
[.,[.,[.,[.,[[.,.],.]]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => {{1,5},{2,6},{3,4}}
[.,[.,[.,[[.,.],[.,.]]]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => {{1,5},{2,4},{3,6}}
[.,[.,[.,[[.,[.,.]],.]]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => {{1,4},{2,6},{3,5}}
[.,[.,[.,[[[.,.],.],.]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => {{1,4},{2,5},{3,6}}
[.,[.,[[.,.],[.,[.,.]]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => {{1,5},{2,4,6},{3}}
[.,[.,[[.,.],[[.,.],.]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => {{1,4,6},{2,5},{3}}
[.,[.,[[.,[.,.]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => {{1,4,5},{2,3,6}}
[.,[.,[[[.,.],.],[.,.]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}}
[.,[.,[[.,[.,[.,.]]],.]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => {{1,3,5},{2,6},{4}}
[.,[.,[[.,[[.,.],.]],.]]] => [.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => {{1,3,6},{2,5},{4}}
[.,[.,[[[.,.],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => {{1,3,4,6},{2,5}}
[.,[.,[[[.,[.,.]],.],.]]] => [.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => {{1,3,6},{2,4,5}}
[.,[.,[[[[.,.],.],.],.]]] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => {{1,3,5},{2,4,6}}
[.,[[.,.],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => {{1,5,6},{2,4},{3}}
[.,[[.,.],[.,[[.,.],.]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => {{1,4},{2,5,6},{3}}
[.,[[.,.],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => {{1,4},{2,3,5,6}}
[.,[[.,.],[[.,[.,.]],.]]] => [.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => {{1,3,4},{2,5,6}}
[.,[[.,.],[[[.,.],.],.]]] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}}
[.,[[.,[.,.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => {{1,4,6},{2,3},{5}}
[.,[[.,[.,.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => {{1,3},{2,4,6},{5}}
[.,[[[.,.],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}}
[.,[[[.,.],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => {{1,3},{2,4,5,6}}
[.,[[.,[.,[.,.]]],[.,.]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => {{1,3,6},{2},{4,5}}
[.,[[.,[[.,.],.]],[.,.]]] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => {{1,3,5},{2},{4,6}}
[.,[[[.,.],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => {{1,3,5,6},{2},{4}}
[.,[[[.,[.,.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => {{1,3,4,6},{2},{5}}
[.,[[[[.,.],.],.],[.,.]]] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}}
[.,[[.,[.,[.,[.,.]]]],.]] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}}
[.,[[.,[.,[[.,.],.]]],.]] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => {{1,2,5},{3,6},{4}}
[.,[[.,[[.,.],[.,.]]],.]] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => {{1,2,5},{3,4,6}}
[.,[[.,[[.,[.,.]],.]],.]] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => {{1,2,4,5},{3,6}}
[.,[[.,[[[.,.],.],.]],.]] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}}
[.,[[[.,.],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}}
[.,[[[.,.],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => {{1,2,4},{3,5,6}}
[.,[[[.,[.,.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => {{1,2,4,6},{3},{5}}
[.,[[[[.,.],.],[.,.]],.]] => [.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}}
>>> Load all 1052 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}}
[.,[[[.,[[.,.],.]],.],.]] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => {{1,2,3,5},{4,6}}
[.,[[[[.,.],[.,.]],.],.]] => [.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}}
[.,[[[[.,[.,.]],.],.],.]] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}}
[.,[[[[[.,.],.],.],.],.]] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}}
[[.,.],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => {{1,5},{2,4},{3},{6}}
[[.,.],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => {{1,4},{2,5},{3},{6}}
[[.,.],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => {{1,4},{2,3,5},{6}}
[[.,.],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => {{1,3,4},{2,5},{6}}
[[.,.],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => {{1,3,5},{2,4},{6}}
[[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => {{1,4,5},{2,3},{6}}
[[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => {{1,3},{2,4,5},{6}}
[[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => {{1,3,5},{2},{4},{6}}
[[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => {{1,3,4,5},{2},{6}}
[[.,.],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => {{1,2,5},{3,4},{6}}
[[.,.],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => {{1,2,4},{3,5},{6}}
[[.,.],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => {{1,2,4,5},{3},{6}}
[[.,.],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => {{1,2,3,5},{4},{6}}
[[.,.],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => {{1,2,3,4,5},{6}}
[[.,[.,.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => {{1,4},{2,3},{5,6}}
[[.,[.,.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => {{1,3},{2,4},{5,6}}
[[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => {{1,3,4},{2},{5,6}}
[[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => {{1,2,4},{3},{5,6}}
[[.,[.,.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => {{1,2,3,4},{5,6}}
[[[.,.],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => {{1,4},{2,3},{5},{6}}
[[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => {{1,3},{2,4},{5},{6}}
[[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => {{1,3,4},{2},{5},{6}}
[[[.,.],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => {{1,2,4},{3},{5},{6}}
[[[.,.],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => {{1,2,3,4},{5},{6}}
[[.,[.,[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => {{1,3},{2},{4,6},{5}}
[[.,[.,[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => {{1,2,3},{4,6},{5}}
[[.,[[.,.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => {{1,3},{2},{4,5,6}}
[[.,[[.,.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => {{1,2,3},{4,5,6}}
[[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => {{1,3},{2},{4,5},{6}}
[[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => {{1,2,3},{4,5},{6}}
[[[.,[.,.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => {{1,3},{2},{4},{5,6}}
[[[.,[.,.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => {{1,2,3},{4},{5,6}}
[[[[.,.],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => {{1,3},{2},{4},{5},{6}}
[[[[.,.],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}}
[[.,[.,[.,[.,.]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}}
[[.,[.,[[.,.],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => {{1,2},{3,5},{4,6}}
[[.,[[.,.],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => {{1,2},{3,5,6},{4}}
[[.,[[.,[.,.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => {{1,2},{3,4,6},{5}}
[[.,[[[.,.],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => {{1,2},{3,4,5,6}}
[[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => {{1,2},{3,5},{4},{6}}
[[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => {{1,2},{3,4,5},{6}}
[[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => {{1,2},{3,4},{5,6}}
[[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => {{1,2},{3,4},{5},{6}}
[[[.,[.,[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => {{1,2},{3},{4,6},{5}}
[[[.,[[.,.],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => {{1,2},{3},{4,5,6}}
[[[[.,.],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => {{1,2},{3},{4,5},{6}}
[[[[.,[.,.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => {{1,2},{3},{4},{5,6}}
[[[[[.,.],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}}
[[.,[.,[.,[.,[.,.]]]]],.] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}}
[[.,[.,[.,[[.,.],.]]]],.] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => {{1},{2,5},{3,6},{4}}
[[.,[.,[[.,.],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => {{1},{2,5},{3,4,6}}
[[.,[.,[[.,[.,.]],.]]],.] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => {{1},{2,4,5},{3,6}}
[[.,[.,[[[.,.],.],.]]],.] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => {{1},{2,4,6},{3,5}}
[[.,[[.,.],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => {{1},{2,5,6},{3,4}}
[[.,[[.,.],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => {{1},{2,4},{3,5,6}}
[[.,[[.,[.,.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => {{1},{2,4,6},{3},{5}}
[[.,[[[.,.],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => {{1},{2,4,5,6},{3}}
[[.,[[.,[.,[.,.]]],.]],.] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => {{1},{2,3,6},{4,5}}
[[.,[[.,[[.,.],.]],.]],.] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => {{1},{2,3,5},{4,6}}
[[.,[[[.,.],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => {{1},{2,3,5,6},{4}}
[[.,[[[.,[.,.]],.],.]],.] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => {{1},{2,3,4,6},{5}}
[[.,[[[[.,.],.],.],.]],.] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => {{1},{2,3,4,5,6}}
[[[.,.],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => {{1},{2,5},{3,4},{6}}
[[[.,.],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => {{1},{2,4},{3,5},{6}}
[[[.,.],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => {{1},{2,4,5},{3},{6}}
[[[.,.],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => {{1},{2,3,5},{4},{6}}
[[[.,.],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => {{1},{2,3,4,5},{6}}
[[[.,[.,.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => {{1},{2,4},{3},{5,6}}
[[[.,[.,.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => {{1},{2,3,4},{5,6}}
[[[[.,.],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => {{1},{2,4},{3},{5},{6}}
[[[[.,.],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}}
[[[.,[.,[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => {{1},{2,3},{4,6},{5}}
[[[.,[[.,.],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => {{1},{2,3},{4,5,6}}
[[[[.,.],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}}
[[[[.,[.,.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}}
[[[[[.,.],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}}
[[[.,[.,[.,[.,.]]]],.],.] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => {{1},{2},{3,6},{4,5}}
[[[.,[.,[[.,.],.]]],.],.] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => {{1},{2},{3,5},{4,6}}
[[[.,[[.,.],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => {{1},{2},{3,5,6},{4}}
[[[.,[[.,[.,.]],.]],.],.] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => {{1},{2},{3,4,6},{5}}
[[[.,[[[.,.],.],.]],.],.] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}}
[[[[.,.],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => {{1},{2},{3,5},{4},{6}}
[[[[.,.],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}}
[[[[.,[.,.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}}
[[[[[.,.],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}}
[[[[.,[.,[.,.]]],.],.],.] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => {{1},{2},{3},{4,6},{5}}
[[[[.,[[.,.],.]],.],.],.] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}}
[[[[[.,.],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}}
[[[[[.,[.,.]],.],.],.],.] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}}
[[[[[[.,.],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}}
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => {{1,7},{2,6},{3,5},{4}}
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => {{1,6},{2,7},{3,5},{4}}
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => {{1,6},{2,5},{3,7},{4}}
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => {{1,5},{2,7},{3,6},{4}}
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => {{1,5},{2,6},{3,7},{4}}
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => {{1,6},{2,5},{3,4,7}}
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => {{1,5},{2,6},{3,4,7}}
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => {{1,5},{2,4,6},{3,7}}
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => {{1,5},{2,4,7},{3,6}}
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => {{1,4,5},{2,7},{3,6}}
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => {{1,4,5},{2,6},{3,7}}
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => {{1,4,7},{2,6},{3,5}}
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => {{1,4,6},{2,5},{3,7}}
[.,[.,[.,[[[[.,.],.],.],.]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => {{1,4,7},{2,5},{3,6}}
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => {{1,6},{2,5,7},{3,4}}
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => {{1,5,7},{2,6},{3,4}}
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => {{1,5,7},{2,4},{3,6}}
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => {{1,4},{2,6},{3,5,7}}
[.,[.,[[.,.],[[[.,.],.],.]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => {{1,4},{2,5,7},{3,6}}
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => {{1,5,6},{2,4,7},{3}}
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => {{1,4,7},{2,5,6},{3}}
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => {{1,5,7},{2,4,6},{3}}
[.,[.,[[[.,.],.],[[.,.],.]]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => {{1,4,6},{2,5,7},{3}}
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => {{1,4,6},{2,3,7},{5}}
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => {{1,4,7},{2,3,6},{5}}
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => {{1,4,5,7},{2,3,6}}
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => {{1,4,7},{2,3,5,6}}
[.,[.,[[[[.,.],.],.],[.,.]]]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => {{1,4,6},{2,3,5,7}}
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => {{1,3,6},{2,7},{4,5}}
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => {{1,3,7},{2,6},{4,5}}
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => {{1,3,5},{2,6},{4,7}}
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => {{1,3,7},{2,5},{4,6}}
[.,[.,[[.,[[[.,.],.],.]],.]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => {{1,3,6},{2,5},{4,7}}
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => {{1,3,5,7},{2,6},{4}}
[.,[.,[[[.,.],[[.,.],.]],.]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => {{1,3,6},{2,5,7},{4}}
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => {{1,3,4,7},{2,5,6}}
[.,[.,[[[[.,.],.],[.,.]],.]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => {{1,3,4,6},{2,5,7}}
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => {{1,3,7},{2,4,6},{5}}
[.,[.,[[[.,[[.,.],.]],.],.]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => {{1,3,6},{2,4,7},{5}}
[.,[.,[[[[.,.],[.,.]],.],.]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => {{1,3,6},{2,4,5,7}}
[.,[.,[[[[.,[.,.]],.],.],.]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => {{1,3,5,6},{2,4,7}}
[.,[.,[[[[[.,.],.],.],.],.]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}}
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => {{1,6,7},{2,5},{3,4}}
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => {{1,5},{2,6,7},{3,4}}
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => {{1,5},{2,4},{3,6,7}}
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => {{1,4},{2,6,7},{3,5}}
[.,[[.,.],[.,[[[.,.],.],.]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => {{1,4},{2,5},{3,6,7}}
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => {{1,5},{2,4,6,7},{3}}
[.,[[.,.],[[.,.],[[.,.],.]]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}}
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => {{1,4,5},{2,3,6,7}}
[.,[[.,.],[[[.,.],.],[.,.]]]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}}
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => {{1,3,5},{2,6,7},{4}}
[.,[[.,.],[[.,[[.,.],.]],.]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}}
[.,[[.,.],[[[.,.],[.,.]],.]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}}
[.,[[.,.],[[[.,[.,.]],.],.]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}}
[.,[[.,.],[[[[.,.],.],.],.]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => {{1,3,5},{2,4,6,7}}
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => {{1,5,7},{2,4},{3},{6}}
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => {{1,4},{2,5,7},{3},{6}}
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => {{1,4},{2,3,5,7},{6}}
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => {{1,3,4},{2,5,7},{6}}
[.,[[.,[.,.]],[[[.,.],.],.]]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}}
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => {{1,5,6,7},{2,4},{3}}
[.,[[[.,.],.],[.,[[.,.],.]]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => {{1,4},{2,5,6,7},{3}}
[.,[[[.,.],.],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => {{1,4},{2,3,5,6,7}}
[.,[[[.,.],.],[[.,[.,.]],.]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => {{1,3,4},{2,5,6,7}}
[.,[[[.,.],.],[[[.,.],.],.]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}}
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => {{1,4,7},{2,3},{5,6}}
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => {{1,3},{2,4,7},{5,6}}
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => {{1,4,6},{2,3},{5,7}}
[.,[[.,[[.,.],.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => {{1,3},{2,4,6},{5,7}}
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => {{1,4,6,7},{2,3},{5}}
[.,[[[.,.],[.,.]],[[.,.],.]]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => {{1,3},{2,4,6,7},{5}}
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => {{1,4,5,7},{2,3},{6}}
[.,[[[.,[.,.]],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => {{1,3},{2,4,5,7},{6}}
[.,[[[[.,.],.],.],[.,[.,.]]]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}}
[.,[[[[.,.],.],.],[[.,.],.]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => {{1,3},{2,4,5,6,7}}
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => {{1,3,7},{2},{4,6},{5}}
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => {{1,3,6},{2},{4,7},{5}}
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => {{1,3,6},{2},{4,5,7}}
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => {{1,3,5,6},{2},{4,7}}
[.,[[.,[[[.,.],.],.]],[.,.]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}}
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => {{1,3,6,7},{2},{4,5}}
[.,[[[.,.],[[.,.],.]],[.,.]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => {{1,3,5},{2},{4,6,7}}
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => {{1,3,5,7},{2},{4},{6}}
[.,[[[[.,.],.],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}}
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => {{1,3,4,7},{2},{5,6}}
[.,[[[.,[[.,.],.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => {{1,3,4,6},{2},{5,7}}
[.,[[[[.,.],[.,.]],.],[.,.]]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}}
[.,[[[[.,[.,.]],.],.],[.,.]]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}}
[.,[[[[[.,.],.],.],.],[.,.]]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}}
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => {{1,2,7},{3,6},{4,5}}
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => {{1,2,6},{3,7},{4,5}}
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => {{1,2,6},{3,5},{4,7}}
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => {{1,2,5},{3,7},{4,6}}
[.,[[.,[.,[[[.,.],.],.]]],.]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => {{1,2,5},{3,6},{4,7}}
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => {{1,2,6},{3,5,7},{4}}
[.,[[.,[[.,.],[[.,.],.]]],.]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}}
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => {{1,2,5,6},{3,4,7}}
[.,[[.,[[[.,.],.],[.,.]]],.]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}}
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => {{1,2,4,6},{3,7},{5}}
[.,[[.,[[.,[[.,.],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}}
[.,[[.,[[[.,.],[.,.]],.]],.]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}}
[.,[[.,[[[.,[.,.]],.],.]],.]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}}
[.,[[.,[[[[.,.],.],.],.]],.]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => {{1,2,4,6},{3,5,7}}
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => {{1,2,6,7},{3,5},{4}}
[.,[[[.,.],[.,[[.,.],.]]],.]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => {{1,2,5},{3,6,7},{4}}
[.,[[[.,.],[[.,.],[.,.]]],.]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => {{1,2,5},{3,4,6,7}}
[.,[[[.,.],[[.,[.,.]],.]],.]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => {{1,2,4,5},{3,6,7}}
[.,[[[.,.],[[[.,.],.],.]],.]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}}
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => {{1,2,5,7},{3,4},{6}}
[.,[[[.,[.,.]],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => {{1,2,4},{3,5,7},{6}}
[.,[[[[.,.],.],[.,[.,.]]],.]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}}
[.,[[[[.,.],.],[[.,.],.]],.]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => {{1,2,4},{3,5,6,7}}
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => {{1,2,4,7},{3},{5,6}}
[.,[[[.,[[.,.],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => {{1,2,4,6},{3},{5,7}}
[.,[[[[.,.],[.,.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}}
[.,[[[[.,[.,.]],.],[.,.]],.]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}}
[.,[[[[[.,.],.],.],[.,.]],.]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}}
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => {{1,2,3,7},{4,6},{5}}
[.,[[[.,[.,[[.,.],.]]],.],.]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => {{1,2,3,6},{4,7},{5}}
[.,[[[.,[[.,.],[.,.]]],.],.]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => {{1,2,3,6},{4,5,7}}
[.,[[[.,[[.,[.,.]],.]],.],.]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => {{1,2,3,5,6},{4,7}}
[.,[[[.,[[[.,.],.],.]],.],.]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}}
[.,[[[[.,.],[.,[.,.]]],.],.]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}}
[.,[[[[.,.],[[.,.],.]],.],.]] => [.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => {{1,2,3,5},{4,6,7}}
[.,[[[[.,[.,.]],[.,.]],.],.]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}}
[.,[[[[[.,.],.],[.,.]],.],.]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}}
[.,[[[[.,[.,[.,.]]],.],.],.]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}}
[.,[[[[.,[[.,.],.]],.],.],.]] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => {{1,2,3,4,6},{5,7}}
[.,[[[[[.,.],[.,.]],.],.],.]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}}
[.,[[[[[.,[.,.]],.],.],.],.]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}}
[.,[[[[[[.,.],.],.],.],.],.]] => [.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}}
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => {{1,6},{2,5},{3,4},{7}}
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => {{1,5},{2,6},{3,4},{7}}
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => {{1,5},{2,4},{3,6},{7}}
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => {{1,4},{2,6},{3,5},{7}}
[[.,.],[.,[.,[[[.,.],.],.]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => {{1,4},{2,5},{3,6},{7}}
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => {{1,5},{2,4,6},{3},{7}}
[[.,.],[.,[[.,.],[[.,.],.]]]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => {{1,4,6},{2,5},{3},{7}}
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => {{1,4,5},{2,3,6},{7}}
[[.,.],[.,[[[.,.],.],[.,.]]]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}}
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => {{1,3,5},{2,6},{4},{7}}
[[.,.],[.,[[.,[[.,.],.]],.]]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => {{1,3,6},{2,5},{4},{7}}
[[.,.],[.,[[[.,.],[.,.]],.]]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => {{1,3,4,6},{2,5},{7}}
[[.,.],[.,[[[.,[.,.]],.],.]]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => {{1,3,6},{2,4,5},{7}}
[[.,.],[.,[[[[.,.],.],.],.]]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => {{1,3,5},{2,4,6},{7}}
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => {{1,5,6},{2,4},{3},{7}}
[[.,.],[[.,.],[.,[[.,.],.]]]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => {{1,4},{2,5,6},{3},{7}}
[[.,.],[[.,.],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => {{1,4},{2,3,5,6},{7}}
[[.,.],[[.,.],[[.,[.,.]],.]]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => {{1,3,4},{2,5,6},{7}}
[[.,.],[[.,.],[[[.,.],.],.]]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => {{1,3,5,6},{2,4},{7}}
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => {{1,4,6},{2,3},{5},{7}}
[[.,.],[[.,[.,.]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => {{1,3},{2,4,6},{5},{7}}
[[.,.],[[[.,.],.],[.,[.,.]]]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => {{1,4,5,6},{2,3},{7}}
[[.,.],[[[.,.],.],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => {{1,3},{2,4,5,6},{7}}
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => {{1,3,6},{2},{4,5},{7}}
[[.,.],[[.,[[.,.],.]],[.,.]]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => {{1,3,5},{2},{4,6},{7}}
[[.,.],[[[.,.],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => {{1,3,5,6},{2},{4},{7}}
[[.,.],[[[.,[.,.]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => {{1,3,4,6},{2},{5},{7}}
[[.,.],[[[[.,.],.],.],[.,.]]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => {{1,3,4,5,6},{2},{7}}
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => {{1,2,6},{3,5},{4},{7}}
[[.,.],[[.,[.,[[.,.],.]]],.]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => {{1,2,5},{3,6},{4},{7}}
[[.,.],[[.,[[.,.],[.,.]]],.]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => {{1,2,5},{3,4,6},{7}}
[[.,.],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => {{1,2,4,5},{3,6},{7}}
[[.,.],[[.,[[[.,.],.],.]],.]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => {{1,2,4,6},{3,5},{7}}
[[.,.],[[[.,.],[.,[.,.]]],.]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => {{1,2,5,6},{3,4},{7}}
[[.,.],[[[.,.],[[.,.],.]],.]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => {{1,2,4},{3,5,6},{7}}
[[.,.],[[[.,[.,.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => {{1,2,4,6},{3},{5},{7}}
[[.,.],[[[[.,.],.],[.,.]],.]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => {{1,2,4,5,6},{3},{7}}
[[.,.],[[[.,[.,[.,.]]],.],.]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => {{1,2,3,6},{4,5},{7}}
[[.,.],[[[.,[[.,.],.]],.],.]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => {{1,2,3,5},{4,6},{7}}
[[.,.],[[[[.,.],[.,.]],.],.]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => {{1,2,3,5,6},{4},{7}}
[[.,.],[[[[.,[.,.]],.],.],.]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => {{1,2,3,4,6},{5},{7}}
[[.,.],[[[[[.,.],.],.],.],.]] => [[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}}
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => {{1,5},{2,4},{3},{6,7}}
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => {{1,4},{2,5},{3},{6,7}}
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => {{1,4},{2,3,5},{6,7}}
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => {{1,3,4},{2,5},{6,7}}
[[.,[.,.]],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => {{1,3,5},{2,4},{6,7}}
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => {{1,4,5},{2,3},{6,7}}
[[.,[.,.]],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => {{1,3},{2,4,5},{6,7}}
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => {{1,3,5},{2},{4},{6,7}}
[[.,[.,.]],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => {{1,3,4,5},{2},{6,7}}
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => {{1,2,5},{3,4},{6,7}}
[[.,[.,.]],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => {{1,2,4},{3,5},{6,7}}
[[.,[.,.]],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => {{1,2,4,5},{3},{6,7}}
[[.,[.,.]],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => {{1,2,3,5},{4},{6,7}}
[[.,[.,.]],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => {{1,2,3,4,5},{6,7}}
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => {{1,5},{2,4},{3},{6},{7}}
[[[.,.],.],[.,[.,[[.,.],.]]]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => {{1,4},{2,5},{3},{6},{7}}
[[[.,.],.],[.,[[.,.],[.,.]]]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => {{1,4},{2,3,5},{6},{7}}
[[[.,.],.],[.,[[.,[.,.]],.]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => {{1,3,4},{2,5},{6},{7}}
[[[.,.],.],[.,[[[.,.],.],.]]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => {{1,3,5},{2,4},{6},{7}}
[[[.,.],.],[[.,.],[.,[.,.]]]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => {{1,4,5},{2,3},{6},{7}}
[[[.,.],.],[[.,.],[[.,.],.]]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => {{1,3},{2,4,5},{6},{7}}
[[[.,.],.],[[.,[.,.]],[.,.]]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => {{1,3,5},{2},{4},{6},{7}}
[[[.,.],.],[[[.,.],.],[.,.]]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => {{1,3,4,5},{2},{6},{7}}
[[[.,.],.],[[.,[.,[.,.]]],.]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => {{1,2,5},{3,4},{6},{7}}
[[[.,.],.],[[.,[[.,.],.]],.]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => {{1,2,4},{3,5},{6},{7}}
[[[.,.],.],[[[.,.],[.,.]],.]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => {{1,2,4,5},{3},{6},{7}}
[[[.,.],.],[[[.,[.,.]],.],.]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => {{1,2,3,5},{4},{6},{7}}
[[[.,.],.],[[[[.,.],.],.],.]] => [[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}}
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => {{1,4},{2,3},{5,7},{6}}
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => {{1,3},{2,4},{5,7},{6}}
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => {{1,3,4},{2},{5,7},{6}}
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => {{1,2,4},{3},{5,7},{6}}
[[.,[.,[.,.]]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => {{1,2,3,4},{5,7},{6}}
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => {{1,4},{2,3},{5,6,7}}
[[.,[[.,.],.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => {{1,3},{2,4},{5,6,7}}
[[.,[[.,.],.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => {{1,3,4},{2},{5,6,7}}
[[.,[[.,.],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => {{1,2,4},{3},{5,6,7}}
[[.,[[.,.],.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}}
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => {{1,4},{2,3},{5,6},{7}}
[[[.,.],[.,.]],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => {{1,3},{2,4},{5,6},{7}}
[[[.,.],[.,.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => {{1,3,4},{2},{5,6},{7}}
[[[.,.],[.,.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => {{1,2,4},{3},{5,6},{7}}
[[[.,.],[.,.]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => {{1,2,3,4},{5,6},{7}}
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => {{1,4},{2,3},{5},{6,7}}
[[[.,[.,.]],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => {{1,3},{2,4},{5},{6,7}}
[[[.,[.,.]],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => {{1,3,4},{2},{5},{6,7}}
[[[.,[.,.]],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => {{1,2,4},{3},{5},{6,7}}
[[[.,[.,.]],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => {{1,2,3,4},{5},{6,7}}
[[[[.,.],.],.],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => {{1,4},{2,3},{5},{6},{7}}
[[[[.,.],.],.],[.,[[.,.],.]]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => {{1,3},{2,4},{5},{6},{7}}
[[[[.,.],.],.],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => {{1,3,4},{2},{5},{6},{7}}
[[[[.,.],.],.],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => {{1,2,4},{3},{5},{6},{7}}
[[[[.,.],.],.],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}}
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => {{1,3},{2},{4,7},{5,6}}
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => {{1,2,3},{4,7},{5,6}}
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => {{1,3},{2},{4,6},{5,7}}
[[.,[.,[[.,.],.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => {{1,2,3},{4,6},{5,7}}
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => {{1,3},{2},{4,6,7},{5}}
[[.,[[.,.],[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => {{1,2,3},{4,6,7},{5}}
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => {{1,3},{2},{4,5,7},{6}}
[[.,[[.,[.,.]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => {{1,2,3},{4,5,7},{6}}
[[.,[[[.,.],.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => {{1,3},{2},{4,5,6,7}}
[[.,[[[.,.],.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}}
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => {{1,3},{2},{4,6},{5},{7}}
[[[.,.],[.,[.,.]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => {{1,2,3},{4,6},{5},{7}}
[[[.,.],[[.,.],.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => {{1,3},{2},{4,5,6},{7}}
[[[.,.],[[.,.],.]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => {{1,2,3},{4,5,6},{7}}
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => {{1,3},{2},{4,5},{6,7}}
[[[.,[.,.]],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => {{1,2,3},{4,5},{6,7}}
[[[[.,.],.],[.,.]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => {{1,3},{2},{4,5},{6},{7}}
[[[[.,.],.],[.,.]],[[.,.],.]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => {{1,2,3},{4,5},{6},{7}}
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => {{1,3},{2},{4},{5,7},{6}}
[[[.,[.,[.,.]]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => {{1,2,3},{4},{5,7},{6}}
[[[.,[[.,.],.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => {{1,3},{2},{4},{5,6,7}}
[[[.,[[.,.],.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}}
[[[[.,.],[.,.]],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => {{1,3},{2},{4},{5,6},{7}}
[[[[.,.],[.,.]],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => {{1,2,3},{4},{5,6},{7}}
[[[[.,[.,.]],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}}
[[[[.,[.,.]],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => {{1,2,3},{4},{5},{6,7}}
[[[[[.,.],.],.],.],[.,[.,.]]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}}
[[[[[.,.],.],.],.],[[.,.],.]] => [[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}}
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => {{1,2},{3,7},{4,6},{5}}
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => {{1,2},{3,6},{4,7},{5}}
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => {{1,2},{3,6},{4,5,7}}
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => {{1,2},{3,5,6},{4,7}}
[[.,[.,[[[.,.],.],.]]],[.,.]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => {{1,2},{3,5,7},{4,6}}
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => {{1,2},{3,6,7},{4,5}}
[[.,[[.,.],[[.,.],.]]],[.,.]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => {{1,2},{3,5},{4,6,7}}
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => {{1,2},{3,5,7},{4},{6}}
[[.,[[[.,.],.],[.,.]]],[.,.]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => {{1,2},{3,5,6,7},{4}}
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => {{1,2},{3,4,7},{5,6}}
[[.,[[.,[[.,.],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => {{1,2},{3,4,6},{5,7}}
[[.,[[[.,.],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => {{1,2},{3,4,6,7},{5}}
[[.,[[[.,[.,.]],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => {{1,2},{3,4,5,7},{6}}
[[.,[[[[.,.],.],.],.]],[.,.]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => {{1,2},{3,4,5,6,7}}
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => {{1,2},{3,6},{4,5},{7}}
[[[.,.],[.,[[.,.],.]]],[.,.]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => {{1,2},{3,5},{4,6},{7}}
[[[.,.],[[.,.],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => {{1,2},{3,5,6},{4},{7}}
[[[.,.],[[.,[.,.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => {{1,2},{3,4,6},{5},{7}}
[[[.,.],[[[.,.],.],.]],[.,.]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => {{1,2},{3,4,5,6},{7}}
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => {{1,2},{3,5},{4},{6,7}}
[[[.,[.,.]],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => {{1,2},{3,4,5},{6,7}}
[[[[.,.],.],[.,[.,.]]],[.,.]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => {{1,2},{3,5},{4},{6},{7}}
[[[[.,.],.],[[.,.],.]],[.,.]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => {{1,2},{3,4,5},{6},{7}}
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => {{1,2},{3,4},{5,7},{6}}
[[[.,[[.,.],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => {{1,2},{3,4},{5,6,7}}
[[[[.,.],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => {{1,2},{3,4},{5,6},{7}}
[[[[.,[.,.]],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => {{1,2},{3,4},{5},{6,7}}
[[[[[.,.],.],.],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => {{1,2},{3,4},{5},{6},{7}}
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => {{1,2},{3},{4,7},{5,6}}
[[[.,[.,[[.,.],.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => {{1,2},{3},{4,6},{5,7}}
[[[.,[[.,.],[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => {{1,2},{3},{4,6,7},{5}}
[[[.,[[.,[.,.]],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => {{1,2},{3},{4,5,7},{6}}
[[[.,[[[.,.],.],.]],.],[.,.]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => {{1,2},{3},{4,5,6,7}}
[[[[.,.],[.,[.,.]]],.],[.,.]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => {{1,2},{3},{4,6},{5},{7}}
[[[[.,.],[[.,.],.]],.],[.,.]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => {{1,2},{3},{4,5,6},{7}}
[[[[.,[.,.]],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => {{1,2},{3},{4,5},{6,7}}
[[[[[.,.],.],[.,.]],.],[.,.]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => {{1,2},{3},{4,5},{6},{7}}
[[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => {{1,2},{3},{4},{5,7},{6}}
[[[[.,[[.,.],.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => {{1,2},{3},{4},{5,6,7}}
[[[[[.,.],[.,.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => {{1,2},{3},{4},{5,6},{7}}
[[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}}
[[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}}
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => {{1},{2,7},{3,6},{4,5}}
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => {{1},{2,6},{3,7},{4,5}}
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => {{1},{2,6},{3,5},{4,7}}
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => {{1},{2,5},{3,7},{4,6}}
[[.,[.,[.,[[[.,.],.],.]]]],.] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => {{1},{2,5},{3,6},{4,7}}
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => {{1},{2,6},{3,5,7},{4}}
[[.,[.,[[.,.],[[.,.],.]]]],.] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => {{1},{2,5,7},{3,6},{4}}
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => {{1},{2,5,6},{3,4,7}}
[[.,[.,[[[.,.],.],[.,.]]]],.] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}}
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => {{1},{2,4,6},{3,7},{5}}
[[.,[.,[[.,[[.,.],.]],.]]],.] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => {{1},{2,4,7},{3,6},{5}}
[[.,[.,[[[.,.],[.,.]],.]]],.] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => {{1},{2,4,5,7},{3,6}}
[[.,[.,[[[.,[.,.]],.],.]]],.] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => {{1},{2,4,7},{3,5,6}}
[[.,[.,[[[[.,.],.],.],.]]],.] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => {{1},{2,4,6},{3,5,7}}
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => {{1},{2,6,7},{3,5},{4}}
[[.,[[.,.],[.,[[.,.],.]]]],.] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => {{1},{2,5},{3,6,7},{4}}
[[.,[[.,.],[[.,.],[.,.]]]],.] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => {{1},{2,5},{3,4,6,7}}
[[.,[[.,.],[[.,[.,.]],.]]],.] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => {{1},{2,4,5},{3,6,7}}
[[.,[[.,.],[[[.,.],.],.]]],.] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => {{1},{2,4,6,7},{3,5}}
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => {{1},{2,5,7},{3,4},{6}}
[[.,[[.,[.,.]],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => {{1},{2,4},{3,5,7},{6}}
[[.,[[[.,.],.],[.,[.,.]]]],.] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => {{1},{2,5,6,7},{3,4}}
[[.,[[[.,.],.],[[.,.],.]]],.] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => {{1},{2,4},{3,5,6,7}}
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => {{1},{2,4,7},{3},{5,6}}
[[.,[[.,[[.,.],.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => {{1},{2,4,6},{3},{5,7}}
[[.,[[[.,.],[.,.]],[.,.]]],.] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => {{1},{2,4,6,7},{3},{5}}
[[.,[[[.,[.,.]],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => {{1},{2,4,5,7},{3},{6}}
[[.,[[[[.,.],.],.],[.,.]]],.] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => {{1},{2,4,5,6,7},{3}}
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => {{1},{2,3,7},{4,6},{5}}
[[.,[[.,[.,[[.,.],.]]],.]],.] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => {{1},{2,3,6},{4,7},{5}}
[[.,[[.,[[.,.],[.,.]]],.]],.] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => {{1},{2,3,6},{4,5,7}}
[[.,[[.,[[.,[.,.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => {{1},{2,3,5,6},{4,7}}
[[.,[[.,[[[.,.],.],.]],.]],.] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => {{1},{2,3,5,7},{4,6}}
[[.,[[[.,.],[.,[.,.]]],.]],.] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => {{1},{2,3,6,7},{4,5}}
[[.,[[[.,.],[[.,.],.]],.]],.] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => {{1},{2,3,5},{4,6,7}}
[[.,[[[.,[.,.]],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => {{1},{2,3,5,7},{4},{6}}
[[.,[[[[.,.],.],[.,.]],.]],.] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => {{1},{2,3,5,6,7},{4}}
[[.,[[[.,[.,[.,.]]],.],.]],.] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => {{1},{2,3,4,7},{5,6}}
[[.,[[[.,[[.,.],.]],.],.]],.] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => {{1},{2,3,4,6},{5,7}}
[[.,[[[[.,.],[.,.]],.],.]],.] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => {{1},{2,3,4,6,7},{5}}
[[.,[[[[.,[.,.]],.],.],.]],.] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => {{1},{2,3,4,5,7},{6}}
[[.,[[[[[.,.],.],.],.],.]],.] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}}
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => {{1},{2,6},{3,5},{4},{7}}
[[[.,.],[.,[.,[[.,.],.]]]],.] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => {{1},{2,5},{3,6},{4},{7}}
[[[.,.],[.,[[.,.],[.,.]]]],.] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => {{1},{2,5},{3,4,6},{7}}
[[[.,.],[.,[[.,[.,.]],.]]],.] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => {{1},{2,4,5},{3,6},{7}}
[[[.,.],[.,[[[.,.],.],.]]],.] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => {{1},{2,4,6},{3,5},{7}}
[[[.,.],[[.,.],[.,[.,.]]]],.] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => {{1},{2,5,6},{3,4},{7}}
[[[.,.],[[.,.],[[.,.],.]]],.] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => {{1},{2,4},{3,5,6},{7}}
[[[.,.],[[.,[.,.]],[.,.]]],.] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => {{1},{2,4,6},{3},{5},{7}}
[[[.,.],[[[.,.],.],[.,.]]],.] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => {{1},{2,4,5,6},{3},{7}}
[[[.,.],[[.,[.,[.,.]]],.]],.] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => {{1},{2,3,6},{4,5},{7}}
[[[.,.],[[.,[[.,.],.]],.]],.] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => {{1},{2,3,5},{4,6},{7}}
[[[.,.],[[[.,.],[.,.]],.]],.] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => {{1},{2,3,5,6},{4},{7}}
[[[.,.],[[[.,[.,.]],.],.]],.] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => {{1},{2,3,4,6},{5},{7}}
[[[.,.],[[[[.,.],.],.],.]],.] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}}
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => {{1},{2,5},{3,4},{6,7}}
[[[.,[.,.]],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => {{1},{2,4},{3,5},{6,7}}
[[[.,[.,.]],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => {{1},{2,4,5},{3},{6,7}}
[[[.,[.,.]],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => {{1},{2,3,5},{4},{6,7}}
[[[.,[.,.]],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}}
[[[[.,.],.],[.,[.,[.,.]]]],.] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => {{1},{2,5},{3,4},{6},{7}}
[[[[.,.],.],[.,[[.,.],.]]],.] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => {{1},{2,4},{3,5},{6},{7}}
[[[[.,.],.],[[.,.],[.,.]]],.] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => {{1},{2,4,5},{3},{6},{7}}
[[[[.,.],.],[[.,[.,.]],.]],.] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => {{1},{2,3,5},{4},{6},{7}}
[[[[.,.],.],[[[.,.],.],.]],.] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}}
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => {{1},{2,4},{3},{5,7},{6}}
[[[.,[.,[.,.]]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => {{1},{2,3,4},{5,7},{6}}
[[[.,[[.,.],.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => {{1},{2,4},{3},{5,6,7}}
[[[.,[[.,.],.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}}
[[[[.,.],[.,.]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => {{1},{2,4},{3},{5,6},{7}}
[[[[.,.],[.,.]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}}
[[[[.,[.,.]],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => {{1},{2,4},{3},{5},{6,7}}
[[[[.,[.,.]],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}}
[[[[[.,.],.],.],[.,[.,.]]],.] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => {{1},{2,4},{3},{5},{6},{7}}
[[[[[.,.],.],.],[[.,.],.]],.] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}}
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => {{1},{2,3},{4,7},{5,6}}
[[[.,[.,[[.,.],.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => {{1},{2,3},{4,6},{5,7}}
[[[.,[[.,.],[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => {{1},{2,3},{4,6,7},{5}}
[[[.,[[.,[.,.]],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => {{1},{2,3},{4,5,7},{6}}
[[[.,[[[.,.],.],.]],[.,.]],.] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}}
[[[[.,.],[.,[.,.]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => {{1},{2,3},{4,6},{5},{7}}
[[[[.,.],[[.,.],.]],[.,.]],.] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}}
[[[[.,[.,.]],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}}
[[[[[.,.],.],[.,.]],[.,.]],.] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}}
[[[[.,[.,[.,.]]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => {{1},{2,3},{4},{5,7},{6}}
[[[[.,[[.,.],.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}}
[[[[[.,.],[.,.]],.],[.,.]],.] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}}
[[[[[.,[.,.]],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}}
[[[[[[.,.],.],.],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}}
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => {{1},{2},{3,7},{4,6},{5}}
[[[.,[.,[.,[[.,.],.]]]],.],.] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => {{1},{2},{3,6},{4,7},{5}}
[[[.,[.,[[.,.],[.,.]]]],.],.] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => {{1},{2},{3,6},{4,5,7}}
[[[.,[.,[[.,[.,.]],.]]],.],.] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => {{1},{2},{3,5,6},{4,7}}
[[[.,[.,[[[.,.],.],.]]],.],.] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => {{1},{2},{3,5,7},{4,6}}
[[[.,[[.,.],[.,[.,.]]]],.],.] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => {{1},{2},{3,6,7},{4,5}}
[[[.,[[.,.],[[.,.],.]]],.],.] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => {{1},{2},{3,5},{4,6,7}}
[[[.,[[.,[.,.]],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => {{1},{2},{3,5,7},{4},{6}}
[[[.,[[[.,.],.],[.,.]]],.],.] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => {{1},{2},{3,5,6,7},{4}}
[[[.,[[.,[.,[.,.]]],.]],.],.] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => {{1},{2},{3,4,7},{5,6}}
[[[.,[[.,[[.,.],.]],.]],.],.] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => {{1},{2},{3,4,6},{5,7}}
[[[.,[[[.,.],[.,.]],.]],.],.] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => {{1},{2},{3,4,6,7},{5}}
[[[.,[[[.,[.,.]],.],.]],.],.] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => {{1},{2},{3,4,5,7},{6}}
[[[.,[[[[.,.],.],.],.]],.],.] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}}
[[[[.,.],[.,[.,[.,.]]]],.],.] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => {{1},{2},{3,6},{4,5},{7}}
[[[[.,.],[.,[[.,.],.]]],.],.] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => {{1},{2},{3,5},{4,6},{7}}
[[[[.,.],[[.,.],[.,.]]],.],.] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => {{1},{2},{3,5,6},{4},{7}}
[[[[.,.],[[.,[.,.]],.]],.],.] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => {{1},{2},{3,4,6},{5},{7}}
[[[[.,.],[[[.,.],.],.]],.],.] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}}
[[[[.,[.,.]],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => {{1},{2},{3,5},{4},{6,7}}
[[[[.,[.,.]],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}}
[[[[[.,.],.],[.,[.,.]]],.],.] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => {{1},{2},{3,5},{4},{6},{7}}
[[[[[.,.],.],[[.,.],.]],.],.] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}}
[[[[.,[.,[.,.]]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => {{1},{2},{3,4},{5,7},{6}}
[[[[.,[[.,.],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}}
[[[[[.,.],[.,.]],[.,.]],.],.] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}}
[[[[[.,[.,.]],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}}
[[[[[[.,.],.],.],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}}
[[[[.,[.,[.,[.,.]]]],.],.],.] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => {{1},{2},{3},{4,7},{5,6}}
[[[[.,[.,[[.,.],.]]],.],.],.] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => {{1},{2},{3},{4,6},{5,7}}
[[[[.,[[.,.],[.,.]]],.],.],.] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => {{1},{2},{3},{4,6,7},{5}}
[[[[.,[[.,[.,.]],.]],.],.],.] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => {{1},{2},{3},{4,5,7},{6}}
[[[[.,[[[.,.],.],.]],.],.],.] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}}
[[[[[.,.],[.,[.,.]]],.],.],.] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => {{1},{2},{3},{4,6},{5},{7}}
[[[[[.,.],[[.,.],.]],.],.],.] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}}
[[[[[.,[.,.]],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}}
[[[[[[.,.],.],[.,.]],.],.],.] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}}
[[[[[.,[.,[.,.]]],.],.],.],.] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => {{1},{2},{3},{4},{5,7},{6}}
[[[[[.,[[.,.],.]],.],.],.],.] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}}
[[[[[[.,.],[.,.]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}}
[[[[[[.,[.,.]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => {{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}}
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => {{1,7},{2,8},{3,6},{4,5}}
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => {{1,7},{2,6},{3,8},{4,5}}
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => {{1,6},{2,7},{3,8},{4,5}}
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => {{1,7},{2,6},{3,5},{4,8}}
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => {{1,6},{2,5},{3,8},{4,7}}
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => {{1,6},{2,5},{3,7},{4,8}}
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => {{1,5},{2,8},{3,7},{4,6}}
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => {{1,5},{2,6},{3,7},{4,8}}
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => {{1,7},{2,6},{3,5,8},{4}}
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => {{1,6},{2,5,8},{3,7},{4}}
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => {{1,4,6},{2,8},{3,7},{5}}
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => {{1,4,5,8},{2,7},{3,6}}
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => {{1,4,7},{2,5,8},{3,6}}
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => {{1,7},{2,6,8},{3,5},{4}}
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => {{1,5},{2,7},{3,6,8},{4}}
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => {{1,5},{2,4,7},{3,6,8}}
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => {{1,4,7},{2,5},{3,6,8}}
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => {{1,4,5,8},{2,3,6,7}}
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => {{1,4,6,8},{2,3,5,7}}
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => {{1,3,6},{2,7},{4,8},{5}}
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => {{1,3,8},{2,5,6},{4,7}}
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => {{1,3,6},{2,5,7},{4,8}}
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => {{1,3,6},{2,5,8},{4,7}}
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => {{1,3,8},{2,4,7},{5,6}}
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => {{1,3,5,7},{2,4,8},{6}}
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => {{1,7,8},{2,6},{3,5},{4}}
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => {{1,6},{2,7,8},{3,5},{4}}
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => {{1,6},{2,5},{3,7,8},{4}}
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => {{1,4,7,8},{2,5},{3,6}}
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => {{1,6},{2,5,7,8},{3,4}}
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => {{1,5,7,8},{2,4},{3,6}}
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => {{1,4,5,7,8},{2,3,6}}
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => {{1,4,5},{2,3,6,8},{7}}
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => {{1,5,8},{2,4},{3},{6,7}}
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => {{1,5,7},{2,4},{3},{6,8}}
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => {{1,5,7,8},{2,4},{3},{6}}
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => {{1,4},{2,3,5,7,8},{6}}
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => {{1,5,6,8},{2,4},{3},{7}}
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => {{1,5,6,7,8},{2,4},{3}}
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}}
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => {{1,4,8},{2,3},{5,7},{6}}
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => {{1,3},{2,4,8},{5,7},{6}}
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => {{1,4,7,8},{2,3},{5,6}}
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [3,4,2,7,6,5,8,1] => {{1,3},{2,4,7,8},{5,6}}
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => {{1,3},{2,4,6},{5,7,8}}
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => {{1,3},{2,4,5,7},{6,8}}
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}}
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => {{1,3},{2,4,5,6,7,8}}
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => {{1,3,6},{2},{4,5,7,8}}
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => {{1,3,6,8},{2},{4,5},{7}}
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => {{1,3,5,7,8},{2},{4},{6}}
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => {{1,3,4,8},{2},{5,7},{6}}
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => {{1,3,4,7,8},{2},{5,6}}
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => {{1,3,4,5,7,8},{2},{6}}
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}}
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => {{1,2,7},{3,8},{4,6},{5}}
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => {{1,2,6},{3,8},{4,7},{5}}
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => {{1,2,5,8},{3,6},{4,7}}
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => {{1,2,7},{3,6,8},{4,5}}
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => {{1,2,4,7},{3,8},{5,6}}
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => {{1,2,4,8},{3,6},{5,7}}
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => {{1,2,5,6},{3,4,7,8}}
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => {{1,2,5,7,8},{3,4,6}}
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => {{1,2,5,8},{3,4},{6,7}}
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => {{1,2,5,7},{3,4},{6,8}}
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => {{1,2,4},{3,5,7},{6,8}}
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [2,5,4,3,7,6,8,1] => {{1,2,5,7,8},{3,4},{6}}
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [2,5,4,3,6,8,7,1] => {{1,2,5,6,8},{3,4},{7}}
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}}
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => {{1,2,4,8},{3},{5,7},{6}}
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => {{1,2,4,7,8},{3},{5,6}}
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => {{1,2,4,6,8},{3},{5},{7}}
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => {{1,2,4,6,7,8},{3},{5}}
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => {{1,2,4,5,6,8},{3},{7}}
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => {{1,2,3,5,8},{4,6,7}}
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => {{1,2,3,5,7},{4,6,8}}
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => {{1,2,3,5,7,8},{4},{6}}
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => {{1,2,3,4,8},{5,7},{6}}
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}}
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}}
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}}
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => {{1,7},{2,6},{3,5},{4},{8}}
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => {{1,6},{2,7},{3,5},{4},{8}}
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => {{1,6},{2,5},{3,7},{4},{8}}
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => {{1,5},{2,7},{3,6},{4},{8}}
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => {{1,5},{2,6},{3,7},{4},{8}}
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => {{1,6},{2,5},{3,4,7},{8}}
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => {{1,4,5},{2,7},{3,6},{8}}
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => {{1,4,7},{2,5},{3,6},{8}}
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => {{1,3,7},{2,4,6},{5},{8}}
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => {{1,4,6,7},{2,5},{3},{8}}
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => {{1,5,7},{2,4},{3},{6},{8}}
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => {{1,4},{2,5,7},{3},{6},{8}}
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => {{1,3,4},{2,5,7},{6},{8}}
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => {{1,5,6,7},{2,4},{3},{8}}
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8] => {{1,3,4},{2,5,6,7},{8}}
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => {{1,3,7},{2},{4,6},{5},{8}}
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => {{1,3,6},{2},{4,7},{5},{8}}
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => {{1,3,5,7},{2},{4},{6},{8}}
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => {{1,3,4,5,6,7},{2},{8}}
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => {{1,2,3,4,5,7},{6},{8}}
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}}
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => {{1,6},{2,5},{3,4},{7,8}}
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => {{1,5},{2,6},{3,4},{7,8}}
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => {{1,4},{2,5},{3,6},{7,8}}
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => {{1,5},{2,4,6},{3},{7,8}}
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => {{1,4,6},{2,5},{3},{7,8}}
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => {{1,4,5},{2,3,6},{7,8}}
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => {{1,4,6},{2,3,5},{7,8}}
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => {{1,3,5},{2,6},{4},{7,8}}
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => {{1,5,6},{2,4},{3},{7,8}}
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7] => {{1,4},{2,5,6},{3},{7,8}}
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => {{1,4},{2,3,5,6},{7,8}}
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => {{1,4,5,6},{2,3},{7,8}}
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => {{1,3,5,6},{2},{4},{7,8}}
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => {{1,2,4,6},{3},{5},{7,8}}
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => {{1,2,3,6},{4,5},{7,8}}
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => {{1,2,3,4,5,6},{7,8}}
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => {{1,6},{2,5},{3,4},{7},{8}}
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => {{1,5,6},{2,4},{3},{7},{8}}
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => {{1,4},{2,5,6},{3},{7},{8}}
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => {{1,2,3,4,6},{5},{7},{8}}
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => {{1,2,3,4,5,6},{7},{8}}
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => {{1,5},{2,4},{3},{6,8},{7}}
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => {{1,4},{2,5},{3},{6,8},{7}}
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => {{1,4},{2,3,5},{6,8},{7}}
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => {{1,3,4},{2,5},{6,8},{7}}
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => {{1,3,5},{2,4},{6,8},{7}}
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => {{1,4,5},{2,3},{6,8},{7}}
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => {{1,3},{2,4,5},{6,8},{7}}
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => {{1,3,5},{2},{4},{6,8},{7}}
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => {{1,3,4,5},{2},{6,8},{7}}
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => {{1,2,5},{3,4},{6,8},{7}}
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => {{1,2,4},{3,5},{6,8},{7}}
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => {{1,2,4,5},{3},{6,8},{7}}
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => {{1,2,3,5},{4},{6,8},{7}}
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => {{1,2,3,4,5},{6,8},{7}}
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => {{1,5},{2,4},{3},{6,7,8}}
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => {{1,5},{2,4},{3},{6,7},{8}}
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => {{1,5},{2,4},{3},{6},{7,8}}
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => {{1,5},{2,4},{3},{6},{7},{8}}
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => {{1,3,5},{2},{4},{6},{7},{8}}
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => {{1,2,3,4,5},{6},{7},{8}}
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => {{1,4},{2,3},{5,8},{6,7}}
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => {{1,3},{2,4},{5,8},{6,7}}
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => {{1,3,4},{2},{5,8},{6,7}}
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => {{1,2,4},{3},{5,8},{6,7}}
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => {{1,2,3,4},{5,8},{6,7}}
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => {{1,4},{2,3},{5,7},{6,8}}
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => {{1,3},{2,4},{5,7},{6,8}}
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => {{1,3,4},{2},{5,7},{6,8}}
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => {{1,2,4},{3},{5,7},{6,8}}
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => {{1,2,3,4},{5,7},{6,8}}
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => {{1,4},{2,3},{5,7,8},{6}}
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => {{1,3},{2,4},{5,7,8},{6}}
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => {{1,3,4},{2},{5,7,8},{6}}
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => {{1,2,4},{3},{5,7,8},{6}}
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => {{1,2,3,4},{5,7,8},{6}}
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => {{1,4},{2,3},{5,6,8},{7}}
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => {{1,3},{2,4},{5,6,8},{7}}
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => {{1,3,4},{2},{5,6,8},{7}}
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => {{1,2,4},{3},{5,6,8},{7}}
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => {{1,2,3,4},{5,6,8},{7}}
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => {{1,4},{2,3},{5,6,7,8}}
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => {{1,3},{2,4},{5,6,7,8}}
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => {{1,3,4},{2},{5,6,7,8}}
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => {{1,2,4},{3},{5,6,7,8}}
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => {{1,2,3,4},{5,6,7,8}}
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => {{1,4},{2,3},{5,7},{6},{8}}
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => {{1,3,4},{2},{5,7},{6},{8}}
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => {{1,2,3,4},{5,7},{6},{8}}
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => {{1,4},{2,3},{5,6,7},{8}}
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => {{1,3,4},{2},{5,6,7},{8}}
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => {{1,2,3,4},{5,6,7},{8}}
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => {{1,4},{2,3},{5,6},{7,8}}
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => {{1,3},{2,4},{5,6},{7,8}}
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => {{1,3,4},{2},{5,6},{7,8}}
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => {{1,2,4},{3},{5,6},{7,8}}
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => {{1,2,3,4},{5,6},{7,8}}
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => {{1,4},{2,3},{5,6},{7},{8}}
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => {{1,3,4},{2},{5,6},{7},{8}}
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => {{1,2,3,4},{5,6},{7},{8}}
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => {{1,4},{2,3},{5},{6,8},{7}}
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => {{1,3,4},{2},{5},{6,8},{7}}
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => {{1,2,3,4},{5},{6,8},{7}}
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => {{1,4},{2,3},{5},{6,7,8}}
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => {{1,3,4},{2},{5},{6,7,8}}
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => {{1,2,3,4},{5},{6,7,8}}
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => {{1,4},{2,3},{5},{6,7},{8}}
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => {{1,3,4},{2},{5},{6,7},{8}}
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => {{1,2,3,4},{5},{6,7},{8}}
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => {{1,4},{2,3},{5},{6},{7,8}}
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => {{1,3,4},{2},{5},{6},{7,8}}
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => {{1,2,3,4},{5},{6},{7,8}}
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => {{1,4},{2,3},{5},{6},{7},{8}}
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => {{1,3,4},{2},{5},{6},{7},{8}}
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => {{1,2,3,4},{5},{6},{7},{8}}
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => {{1,3},{2},{4,8},{5,7},{6}}
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => {{1,2,3},{4,8},{5,7},{6}}
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => {{1,3},{2},{4,7},{5,8},{6}}
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => {{1,3},{2},{4,7},{5,6,8}}
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => {{1,3},{2},{4,6,7},{5,8}}
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => {{1,3},{2},{4,6,8},{5,7}}
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => {{1,3},{2},{4,7,8},{5,6}}
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => {{1,3},{2},{4,6},{5,7,8}}
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => {{1,3},{2},{4,6,8},{5},{7}}
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => {{1,3},{2},{4,6,7,8},{5}}
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => {{1,3},{2},{4,5,8},{6,7}}
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => {{1,3},{2},{4,5,7},{6,8}}
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => {{1,3},{2},{4,5,7,8},{6}}
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => {{1,3},{2},{4,5,6,8},{7}}
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => {{1,3},{2},{4,5,6,7,8}}
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => {{1,2,3},{4,5,6,7},{8}}
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => {{1,3},{2},{4,5},{6,7},{8}}
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => {{1,2,3},{4,5},{6,7},{8}}
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => {{1,3},{2},{4},{5,8},{6,7}}
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => {{1,2,3},{4},{5,8},{6,7}}
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => {{1,3},{2},{4},{5,7},{6,8}}
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => {{1,3},{2},{4},{5,7,8},{6}}
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => {{1,2,3},{4},{5,7,8},{6}}
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => {{1,3},{2},{4},{5,6,7,8}}
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => {{1,2,3},{4},{5,6,7,8}}
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => {{1,3},{2},{4},{5,7},{6},{8}}
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => {{1,3},{2},{4},{5},{6,8},{7}}
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => {{1,2,3},{4},{5},{6,7,8}}
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => {{1,3},{2},{4},{5},{6},{7},{8}}
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => {{1,2},{3,8},{4,7},{5,6}}
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => {{1,2},{3,6},{4,7},{5,8}}
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => {{1,2},{3,7},{4,6,8},{5}}
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => {{1,2},{3,6,8},{4,7},{5}}
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => {{1,2},{3,6,7},{4,5,8}}
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => {{1,2},{3,6,8},{4,5,7}}
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => {{1,2},{3,5,7},{4,6,8}}
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => {{1,2},{3,6},{4,5,7,8}}
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => {{1,2},{3,5,7,8},{4},{6}}
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => {{1,2},{3,4,8},{5,7},{6}}
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => {{1,2},{3,4,7},{5,8},{6}}
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => {{1,2},{3,4,6,8},{5},{7}}
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => {{1,2},{3,4,5,8},{6,7}}
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => {{1,2},{3,4,5,7},{6,8}}
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => {{1,2},{3,4,5,6,7,8}}
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => {{1,2},{3,6},{4,7},{5},{8}}
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => {{1,2},{3,6},{4,5},{7,8}}
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => {{1,2},{3,5},{4,6},{7,8}}
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => {{1,2},{3,5,6},{4},{7,8}}
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => {{1,2},{3,4,6},{5},{7,8}}
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => {{1,2},{3,4,5,6},{7,8}}
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => {{1,2},{3,5},{4},{6},{7,8}}
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => {{1,2},{3,4},{5,8},{6,7}}
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => {{1,2},{3,4},{5,7},{6,8}}
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => {{1,2},{3,4},{5,7,8},{6}}
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => {{1,2},{3,4},{5,6,8},{7}}
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => {{1,2},{3,4},{5,6,7,8}}
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => {{1,2},{3,4},{5,6},{7,8}}
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => {{1,2},{3},{4,8},{5,7},{6}}
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => {{1,2},{3},{4},{5,8},{6,7}}
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => {{1,2},{3},{4},{5,7},{6,8}}
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => {{1,2},{3},{4},{5,7,8},{6}}
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => {{1,2},{3},{4},{5,6,7,8}}
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => {{1,2},{3},{4},{5},{6},{7,8}}
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => {{1,2},{3},{4},{5},{6},{7},{8}}
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => {{1},{2,8},{3,7},{4,6},{5}}
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => {{1},{2,7},{3,8},{4,6},{5}}
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => {{1},{2,7},{3,6},{4,8},{5}}
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => {{1},{2,6},{3,8},{4,7},{5}}
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => {{1},{2,6},{3,7},{4,8},{5}}
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => {{1},{2,7},{3,6},{4,5,8}}
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => {{1},{2,5,6},{3,8},{4,7}}
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => {{1},{2,5,8},{3,6},{4,7}}
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => {{1},{2,4,7},{3,8},{5,6}}
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => {{1},{2,4,8},{3,7},{5,6}}
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => {{1},{2,6,8},{3,5},{4},{7}}
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => {{1},{2,5},{3,6,8},{4},{7}}
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => {{1},{2,5,6,7,8},{3,4}}
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => {{1},{2,4},{3,5,6,7,8}}
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => {{1},{2,4,8},{3},{5,7},{6}}
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => {{1},{2,4,7},{3},{5,8},{6}}
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => {{1},{2,4,7},{3},{5,6,8}}
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => {{1},{2,4,6,8},{3},{5},{7}}
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => {{1},{2,4,5,6,7,8},{3}}
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => {{1},{2,3,6,8},{4,5,7}}
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => {{1},{2,3,5,8},{4,7},{6}}
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => {{1},{2,3,5,7},{4,6,8}}
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => {{1},{2,3,4,8},{5,7},{6}}
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => {{1},{2,3,4,7},{5,6,8}}
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => {{1},{2,3,4,5,7},{6,8}}
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => {{1},{2,3,4,5,6,8},{7}}
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}}
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => {{1},{2,3,4,6},{5,7},{8}}
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => {{1},{2,3,4,5,7},{6},{8}}
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => {{1},{2,5},{3,6},{4},{7,8}}
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => {{1},{2,4},{3},{5,8},{6,7}}
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => {{1},{2,3,4},{5,8},{6,7}}
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => {{1},{2,4},{3},{5,7,8},{6}}
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => {{1},{2,3,4},{5,7,8},{6}}
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => {{1},{2,4},{3},{5,6,7,8}}
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => {{1},{2,3,4},{5,6,7,8}}
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => {{1},{2,4},{3},{5,7},{6},{8}}
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => {{1},{2,3,4},{5,6,7},{8}}
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => {{1},{2,3},{4,8},{5,7},{6}}
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => {{1},{2,3},{4,5},{6,7},{8}}
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => {{1},{2,3},{4,5},{6},{7},{8}}
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => {{1},{2,3},{4},{5,8},{6,7}}
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => {{1},{2,3},{4},{5,7,8},{6}}
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => {{1},{2,3},{4},{5,6,7,8}}
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => {{1},{2,3},{4},{5},{6,7},{8}}
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}}
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => {{1},{2},{3,6},{4,7},{5,8}}
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => {{1},{2},{3,5,7},{4,6,8}}
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => {{1},{2},{3,6,7,8},{4,5}}
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => {{1},{2},{3,5},{4,6,7,8}}
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => {{1},{2},{3,5,6,7,8},{4}}
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => {{1},{2},{3,4,8},{5,7},{6}}
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => {{1},{2},{3,4,7},{5,8},{6}}
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => {{1},{2},{3,4,6,8},{5,7}}
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => {{1},{2},{3,4,5,6,7,8}}
[[[[[.,.],.],[[.,[.,.]],.]],.],.] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => {{1},{2},{3,4,6},{5},{7},{8}}
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => {{1},{2},{3,4},{5,8},{6,7}}
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => {{1},{2},{3,4},{5,7,8},{6}}
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => {{1},{2},{3,4},{5,6,7,8}}
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => {{1},{2},{3,4},{5,6},{7},{8}}
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => {{1},{2},{3},{4,8},{5,7},{6}}
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => {{1},{2},{3},{4,7},{5,8},{6}}
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => {{1},{2},{3},{4,7},{5,6,8}}
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => {{1},{2},{3},{4,6,7},{5,8}}
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => {{1},{2},{3},{4,6,8},{5,7}}
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => {{1},{2},{3},{4,7,8},{5,6}}
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => {{1},{2},{3},{4,6},{5,7,8}}
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => {{1},{2},{3},{4,6,8},{5},{7}}
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => {{1},{2},{3},{4,6,7,8},{5}}
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => {{1},{2},{3},{4,5,8},{6,7}}
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => {{1},{2},{3},{4,5,7},{6,8}}
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => {{1},{2},{3},{4,5,7,8},{6}}
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => {{1},{2},{3},{4,5,6,8},{7}}
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => {{1},{2},{3},{4,5,6,7,8}}
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => {{1},{2},{3},{4,5},{6,7},{8}}
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => {{1},{2},{3},{4,5},{6},{7},{8}}
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => {{1},{2},{3},{4},{5,8},{6,7}}
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => {{1},{2},{3},{4},{5,7},{6,8}}
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => {{1},{2},{3},{4},{5,7,8},{6}}
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => {{1},{2},{3},{4},{5,6,7,8}}
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => {{1},{2},{3},{4},{5},{6,8},{7}}
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}}
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => {{1},{2},{3},{4},{5},{6,7},{8}}
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => {{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}}
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => {{1,8},{2,9},{3,7},{4,6},{5}}
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => {{1,7},{2,8},{3,9},{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}}
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => {{1,10},{2,9},{3,8},{4,7},{5,6}}
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => {{1,9},{2,10},{3,8},{4,7},{5,6}}
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => {{1,8},{2,7},{3,9},{4,6},{5}}
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => {{1,6},{2,7},{3,8},{4,9},{5,10}}
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => {{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}}
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => {{1},{2,9},{3,8},{4,7},{5,6}}
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => {{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}}
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => {{1,2},{3},{4},{5},{6},{7},{8},{9}}
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => {{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => {{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => {{1,2,3,4,5,6,7,8,9,10,11}}
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => {{1,2,3,4,5,6,7},{8},{9}}
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => {{1,3},{2},{4},{5},{6},{7},{8},{9}}
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => {{1,2,3,4,5,6,7,8,9},{10}}
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => {{1,8},{2,7},{3,6},{4,5},{9}}
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,8,9,7,6,5,4,3,2] => {{1},{2,8},{3,9},{4,7},{5,6}}
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => {{1,7},{2,8},{3,6},{4,5},{9}}
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => {{1,9},{2,8},{3,7},{4,6},{5},{10}}
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => {{1},{2,11},{3,10},{4,9},{5,8},{6,7}}
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,9,10,8,7,6,5,4,3,2] => {{1},{2,9},{3,10},{4,8},{5,7},{6}}
[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.] => [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,8,7,9,6,5,4,3,2] => {{1},{2,8},{3,7},{4,9},{5,6}}
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => {{1,7},{2,6},{3,8},{4,5},{9}}
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => {{1,8},{2,9},{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}}
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => {{1,7},{2,6},{3,5},{4},{8},{9}}
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => {{1},{2},{3},{4},{5},{6},{7,9},{8}}
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => {{1},{2},{3},{4},{5},{6},{7},{8,9}}
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}
[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => {{1,8},{2,7},{3,6},{4,9},{5}}
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => {{1,8},{2,7},{3,6},{4,5,9}}
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => {{1,8},{2,7},{3,6,9},{4,5}}
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => {{1,8},{2,7,9},{3,6},{4,5}}
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => {{1,8,9},{2,7},{3,6},{4,5}}
[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => {{1,9},{2,8},{3,10},{4,7},{5,6}}
[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => {{1,9},{2,8},{3,7},{4,10},{5,6}}
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => {{1,9},{2,8},{3,7},{4,6},{5,10}}
[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] => [.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => {{1,9},{2,8},{3,7},{4,6,10},{5}}
[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]] => [.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => {{1,9},{2,8},{3,7,10},{4,6},{5}}
[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => {{1,9},{2,8,10},{3,7},{4,6},{5}}
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => {{1,9,10},{2,8},{3,7},{4,6},{5}}
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => {{1,3,4,5,6,7,8,9},{2}}
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}}
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => {{1,3},{2,4,5,6,7,8,9}}
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => {{1,3,4,5,6,7,8,9,10},{2}}
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => {{1},{2,3,4,5,6,7,8,9}}
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => {{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}}
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => {{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}}
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => {{1},{2},{3,4,5,6,7,8,9}}
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => {{1},{2},{3},{4},{5},{6},{7},{8,9,10}}
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => {{1},{2},{3},{4},{5},{6,8,9},{7}}
[[[[[[[.,[[[.,.],.],.]],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => {{1},{2},{3},{4},{5},{6},{7,8,9,10}}
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,4,7,6,8,9,5] => {{1},{2},{3},{4},{5,7,8,9},{6}}
[[[[[[.,[[[[.,.],.],.],.]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => {{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}}
[[[[[.,[[[[[.,.],.],.],.],.]],.],.],.],.] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => {{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}}
[[[[.,[[[[[[.,.],.],.],.],.],.]],.],.],.] => [[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => {{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}}
[[[.,[[[[[[[.,.],.],.],.],.],.],.]],.],.] => [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => {{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}}
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => {{1,8},{2,7},{3,6},{4,5},{9},{10}}
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => {{1,3},{2},{4},{5},{6},{7},{8},{9},{10}}
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => {{1,4},{2,3},{5},{6},{7},{8},{9}}
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => {{1,5},{2,4},{3},{6},{7},{8},{9}}
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => {{1,6},{2,5},{3,4},{7},{8},{9}}
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => {{1,4},{2,3},{5},{6},{7},{8},{9},{10}}
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => {{1,5},{2,4},{3},{6},{7},{8},{9},{10}}
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => {{1,6},{2,5},{3,4},{7},{8},{9},{10}}
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => {{1,7},{2,6},{3,5},{4},{8},{9},{10}}
Map
left border symmetry
Description
Return the tree where a symmetry has been applied recursively on all left borders. If a tree is made of three trees $T_1, T_2, T_3$ on its left border, it becomes $T_3, T_2, T_1$ where same symmetry has been applied to $T_1, T_2, T_3$.
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
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 $i\leq\pi(i)$.
This is the coarsest set partition that contains all arcs $(i, \pi(i))$ with $i\leq\pi(i)$.
searching the database
Sorry, this map was not found in the database.