Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00071: Permutations —descent composition⟶ Integer compositions
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00071: Permutations —descent composition⟶ Integer compositions
Images
[.,.] => [1] => [1] => [1]
[.,[.,.]] => [2,1] => [2,1] => [1,1]
[[.,.],.] => [1,2] => [1,2] => [2]
[.,[.,[.,.]]] => [3,2,1] => [3,1,2] => [1,2]
[.,[[.,.],.]] => [2,3,1] => [3,2,1] => [1,1,1]
[[.,.],[.,.]] => [3,1,2] => [2,3,1] => [2,1]
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => [1,2]
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [3]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,1,2,3] => [1,3]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [4,1,3,2] => [1,2,1]
[.,[[.,.],[.,.]]] => [4,2,3,1] => [4,3,1,2] => [1,1,2]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,3,2,1] => [1,1,1,1]
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,2,3,1] => [1,2,1]
[[.,.],[.,[.,.]]] => [4,3,1,2] => [2,4,1,3] => [2,2]
[[.,.],[[.,.],.]] => [3,4,1,2] => [2,4,3,1] => [2,1,1]
[[.,[.,.]],[.,.]] => [4,2,1,3] => [3,1,4,2] => [1,2,1]
[[[.,.],.],[.,.]] => [4,1,2,3] => [2,3,4,1] => [3,1]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,1,2,4] => [1,3]
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,2,1,4] => [1,1,2]
[[[.,.],[.,.]],.] => [3,1,2,4] => [2,3,1,4] => [2,2]
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => [1,3]
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [4]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,1,2,3,4] => [1,4]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [5,1,2,4,3] => [1,3,1]
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [5,1,4,2,3] => [1,2,2]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [5,1,4,3,2] => [1,2,1,1]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [5,1,3,4,2] => [1,3,1]
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [5,3,1,2,4] => [1,1,3]
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [5,3,1,4,2] => [1,1,2,1]
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [5,4,2,1,3] => [1,1,1,2]
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [5,3,4,1,2] => [1,2,2]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [5,4,2,3,1] => [1,1,2,1]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [5,4,3,2,1] => [1,1,1,1,1]
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [5,3,4,2,1] => [1,2,1,1]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [5,3,2,4,1] => [1,1,2,1]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [5,2,3,4,1] => [1,3,1]
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [2,5,1,3,4] => [2,3]
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [2,5,1,4,3] => [2,2,1]
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [2,5,4,1,3] => [2,1,2]
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [2,5,4,3,1] => [2,1,1,1]
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [2,5,3,4,1] => [2,2,1]
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [3,1,5,2,4] => [1,2,2]
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [3,1,5,4,2] => [1,2,1,1]
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [2,3,5,1,4] => [3,2]
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [2,3,5,4,1] => [3,1,1]
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [4,1,2,5,3] => [1,3,1]
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [4,3,1,5,2] => [1,1,2,1]
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [2,4,1,5,3] => [2,2,1]
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [3,1,4,5,2] => [1,3,1]
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [2,3,4,5,1] => [4,1]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,1,2,3,5] => [1,4]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [4,1,3,2,5] => [1,2,2]
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [4,3,1,2,5] => [1,1,3]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [4,3,2,1,5] => [1,1,1,2]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,2,3,1,5] => [1,2,2]
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [2,4,1,3,5] => [2,3]
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [2,4,3,1,5] => [2,1,2]
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [3,1,4,2,5] => [1,2,2]
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [2,3,4,1,5] => [3,2]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,1,2,4,5] => [1,4]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,2,1,4,5] => [1,1,3]
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3]
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => [1,4]
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [5]
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6,1,2,3,4,5] => [1,5]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [6,1,2,3,5,4] => [1,4,1]
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [6,1,2,5,3,4] => [1,3,2]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [6,1,2,5,4,3] => [1,3,1,1]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [6,1,2,4,5,3] => [1,4,1]
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [6,1,4,2,3,5] => [1,2,3]
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [6,1,4,2,5,3] => [1,2,2,1]
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [6,1,5,3,2,4] => [1,2,1,2]
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [6,1,4,5,2,3] => [1,3,2]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [6,1,5,3,4,2] => [1,2,2,1]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [6,1,5,4,3,2] => [1,2,1,1,1]
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [6,1,4,5,3,2] => [1,3,1,1]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [6,1,4,3,5,2] => [1,2,2,1]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [6,1,3,4,5,2] => [1,4,1]
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [6,3,1,2,4,5] => [1,1,4]
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [6,3,1,2,5,4] => [1,1,3,1]
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [6,3,1,5,2,4] => [1,1,2,2]
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [6,3,1,5,4,2] => [1,1,2,1,1]
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [6,3,1,4,5,2] => [1,1,3,1]
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [6,4,2,1,3,5] => [1,1,1,3]
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [6,4,2,1,5,3] => [1,1,1,2,1]
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [6,3,4,1,2,5] => [1,2,3]
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [6,3,4,1,5,2] => [1,2,2,1]
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [6,5,2,3,1,4] => [1,1,2,2]
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [6,5,4,2,1,3] => [1,1,1,1,2]
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [6,3,5,2,1,4] => [1,2,1,2]
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [6,4,2,5,1,3] => [1,1,2,2]
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [6,3,4,5,1,2] => [1,3,2]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [6,5,2,3,4,1] => [1,1,3,1]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [6,5,2,4,3,1] => [1,1,2,1,1]
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [6,5,4,2,3,1] => [1,1,1,2,1]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [6,5,4,3,2,1] => [1,1,1,1,1,1]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [6,5,3,4,2,1] => [1,1,2,1,1]
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [6,3,5,2,4,1] => [1,2,2,1]
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [6,3,5,4,2,1] => [1,2,1,1,1]
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [6,4,2,5,3,1] => [1,1,2,1,1]
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [6,3,4,5,2,1] => [1,3,1,1]
>>> Load all 2010 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [6,4,2,3,5,1] => [1,1,3,1]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [6,4,3,2,5,1] => [1,1,1,2,1]
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [6,3,4,2,5,1] => [1,2,2,1]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [6,3,2,4,5,1] => [1,1,3,1]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [6,2,3,4,5,1] => [1,4,1]
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [2,6,1,3,4,5] => [2,4]
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [2,6,1,3,5,4] => [2,3,1]
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [2,6,1,5,3,4] => [2,2,2]
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [2,6,1,5,4,3] => [2,2,1,1]
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [2,6,1,4,5,3] => [2,3,1]
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [2,6,4,1,3,5] => [2,1,3]
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [2,6,4,1,5,3] => [2,1,2,1]
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [2,6,5,3,1,4] => [2,1,1,2]
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,6,4,5,1,3] => [2,2,2]
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [2,6,5,3,4,1] => [2,1,2,1]
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [2,6,5,4,3,1] => [2,1,1,1,1]
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,6,4,5,3,1] => [2,2,1,1]
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [2,6,4,3,5,1] => [2,1,2,1]
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [2,6,3,4,5,1] => [2,3,1]
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [3,1,6,2,4,5] => [1,2,3]
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [3,1,6,2,5,4] => [1,2,2,1]
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [3,1,6,5,2,4] => [1,2,1,2]
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [3,1,6,5,4,2] => [1,2,1,1,1]
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [3,1,6,4,5,2] => [1,2,2,1]
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [2,3,6,1,4,5] => [3,3]
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [2,3,6,1,5,4] => [3,2,1]
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [2,3,6,5,1,4] => [3,1,2]
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [2,3,6,5,4,1] => [3,1,1,1]
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [2,3,6,4,5,1] => [3,2,1]
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [4,1,2,6,3,5] => [1,3,2]
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [4,1,2,6,5,3] => [1,3,1,1]
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [4,3,1,6,2,5] => [1,1,2,2]
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [4,3,1,6,5,2] => [1,1,2,1,1]
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [2,4,1,6,3,5] => [2,2,2]
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [2,4,1,6,5,3] => [2,2,1,1]
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [3,1,4,6,2,5] => [1,3,2]
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [3,1,4,6,5,2] => [1,3,1,1]
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [2,3,4,6,1,5] => [4,2]
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [2,3,4,6,5,1] => [4,1,1]
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [5,1,2,3,6,4] => [1,4,1]
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [5,1,4,2,6,3] => [1,2,2,1]
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [5,3,1,2,6,4] => [1,1,3,1]
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [5,4,2,1,6,3] => [1,1,1,2,1]
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [5,3,4,1,6,2] => [1,2,2,1]
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [2,5,1,3,6,4] => [2,3,1]
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [2,5,4,1,6,3] => [2,1,2,1]
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [3,1,5,2,6,4] => [1,2,2,1]
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [2,3,5,1,6,4] => [3,2,1]
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [4,1,2,5,6,3] => [1,4,1]
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [4,3,1,5,6,2] => [1,1,3,1]
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [2,4,1,5,6,3] => [2,3,1]
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [3,1,4,5,6,2] => [1,4,1]
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [5,1]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,1,2,3,4,6] => [1,5]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [5,1,2,4,3,6] => [1,3,2]
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [5,1,4,2,3,6] => [1,2,3]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [5,1,4,3,2,6] => [1,2,1,2]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [5,1,3,4,2,6] => [1,3,2]
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [5,3,1,2,4,6] => [1,1,4]
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [5,3,1,4,2,6] => [1,1,2,2]
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [5,4,2,1,3,6] => [1,1,1,3]
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [5,3,4,1,2,6] => [1,2,3]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [5,4,2,3,1,6] => [1,1,2,2]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [5,4,3,2,1,6] => [1,1,1,1,2]
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [5,3,4,2,1,6] => [1,2,1,2]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [5,3,2,4,1,6] => [1,1,2,2]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,2,3,4,1,6] => [1,3,2]
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [2,5,1,3,4,6] => [2,4]
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [2,5,1,4,3,6] => [2,2,2]
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [2,5,4,1,3,6] => [2,1,3]
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [2,5,4,3,1,6] => [2,1,1,2]
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [2,5,3,4,1,6] => [2,2,2]
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [3,1,5,2,4,6] => [1,2,3]
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [3,1,5,4,2,6] => [1,2,1,2]
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [2,3,5,1,4,6] => [3,3]
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [2,3,5,4,1,6] => [3,1,2]
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [4,1,2,5,3,6] => [1,3,2]
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [4,3,1,5,2,6] => [1,1,2,2]
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [2,4,1,5,3,6] => [2,2,2]
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [3,1,4,5,2,6] => [1,3,2]
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [4,2]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,1,2,3,5,6] => [1,5]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [4,1,3,2,5,6] => [1,2,3]
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [4,3,1,2,5,6] => [1,1,4]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,3,2,1,5,6] => [1,1,1,3]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [4,2,3,1,5,6] => [1,2,3]
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [2,4,1,3,5,6] => [2,4]
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [2,4,3,1,5,6] => [2,1,3]
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [3,1,4,2,5,6] => [1,2,3]
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [3,3]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,1,2,4,5,6] => [1,5]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,2,1,4,5,6] => [1,1,4]
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,4]
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [1,5]
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [7,1,2,3,4,5,6] => [1,6]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [7,1,2,3,4,6,5] => [1,5,1]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [7,1,2,3,6,4,5] => [1,4,2]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [7,1,2,3,6,5,4] => [1,4,1,1]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [7,1,2,3,5,6,4] => [1,5,1]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [7,1,2,5,3,4,6] => [1,3,3]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [7,1,2,5,3,6,4] => [1,3,2,1]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [7,1,2,6,4,3,5] => [1,3,1,2]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [7,1,2,5,6,3,4] => [1,4,2]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [7,1,2,6,4,5,3] => [1,3,2,1]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [7,1,2,6,5,4,3] => [1,3,1,1,1]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [7,1,2,5,6,4,3] => [1,4,1,1]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [7,1,2,5,4,6,3] => [1,3,2,1]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [7,1,2,4,5,6,3] => [1,5,1]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [7,1,4,2,3,5,6] => [1,2,4]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [7,1,4,2,3,6,5] => [1,2,3,1]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [7,1,4,2,6,3,5] => [1,2,2,2]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [7,1,4,2,6,5,3] => [1,2,2,1,1]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [7,1,4,2,5,6,3] => [1,2,3,1]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [7,1,5,3,2,4,6] => [1,2,1,3]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [7,1,5,3,2,6,4] => [1,2,1,2,1]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [7,1,4,5,2,3,6] => [1,3,3]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [7,1,4,5,2,6,3] => [1,3,2,1]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [7,1,6,3,4,2,5] => [1,2,2,2]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [7,1,6,5,3,2,4] => [1,2,1,1,2]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [7,1,4,6,3,2,5] => [1,3,1,2]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [7,1,5,3,6,2,4] => [1,2,2,2]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [7,1,4,5,6,2,3] => [1,4,2]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [7,1,6,3,4,5,2] => [1,2,3,1]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [7,1,6,3,5,4,2] => [1,2,2,1,1]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [7,1,6,5,3,4,2] => [1,2,1,2,1]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [7,1,6,5,4,3,2] => [1,2,1,1,1,1]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [7,1,6,4,5,3,2] => [1,2,2,1,1]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [7,1,4,6,3,5,2] => [1,3,2,1]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [7,1,4,6,5,3,2] => [1,3,1,1,1]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [7,1,5,3,6,4,2] => [1,2,2,1,1]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [7,1,4,5,6,3,2] => [1,4,1,1]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [7,1,5,3,4,6,2] => [1,2,3,1]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [7,1,5,4,3,6,2] => [1,2,1,2,1]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [7,1,4,5,3,6,2] => [1,3,2,1]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [7,1,4,3,5,6,2] => [1,2,3,1]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [7,1,3,4,5,6,2] => [1,5,1]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [7,3,1,2,4,5,6] => [1,1,5]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [7,3,1,2,4,6,5] => [1,1,4,1]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [7,3,1,2,6,4,5] => [1,1,3,2]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [7,3,1,2,6,5,4] => [1,1,3,1,1]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [7,3,1,2,5,6,4] => [1,1,4,1]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [7,3,1,5,2,4,6] => [1,1,2,3]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [7,3,1,5,2,6,4] => [1,1,2,2,1]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [7,3,1,6,4,2,5] => [1,1,2,1,2]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [7,3,1,5,6,2,4] => [1,1,3,2]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [7,3,1,6,4,5,2] => [1,1,2,2,1]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [7,3,1,6,5,4,2] => [1,1,2,1,1,1]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [7,3,1,5,6,4,2] => [1,1,3,1,1]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [7,3,1,5,4,6,2] => [1,1,2,2,1]
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [7,3,1,4,5,6,2] => [1,1,4,1]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [7,4,2,1,3,5,6] => [1,1,1,4]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [7,4,2,1,3,6,5] => [1,1,1,3,1]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [7,4,2,1,6,3,5] => [1,1,1,2,2]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [7,4,2,1,6,5,3] => [1,1,1,2,1,1]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [7,4,2,1,5,6,3] => [1,1,1,3,1]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [7,3,4,1,2,5,6] => [1,2,4]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [7,3,4,1,2,6,5] => [1,2,3,1]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [7,3,4,1,6,2,5] => [1,2,2,2]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [7,3,4,1,6,5,2] => [1,2,2,1,1]
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [7,3,4,1,5,6,2] => [1,2,3,1]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [7,5,2,3,1,4,6] => [1,1,2,3]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [7,5,2,3,1,6,4] => [1,1,2,2,1]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [7,5,4,2,1,3,6] => [1,1,1,1,3]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [7,5,4,2,1,6,3] => [1,1,1,1,2,1]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [7,3,5,2,1,4,6] => [1,2,1,3]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [7,3,5,2,1,6,4] => [1,2,1,2,1]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [7,4,2,5,1,3,6] => [1,1,2,3]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [7,4,2,5,1,6,3] => [1,1,2,2,1]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [7,3,4,5,1,2,6] => [1,3,3]
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [7,3,4,5,1,6,2] => [1,3,2,1]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [7,6,2,3,4,1,5] => [1,1,3,2]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [7,6,2,5,3,1,4] => [1,1,2,1,2]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [7,6,4,2,3,1,5] => [1,1,1,2,2]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [7,6,5,3,2,1,4] => [1,1,1,1,1,2]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [7,6,4,5,2,1,3] => [1,1,2,1,2]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [7,3,6,2,4,1,5] => [1,2,2,2]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [7,3,6,5,2,1,4] => [1,2,1,1,2]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [7,4,2,6,3,1,5] => [1,1,2,1,2]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [7,3,4,6,2,1,5] => [1,3,1,2]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [7,5,2,3,6,1,4] => [1,1,3,2]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [7,5,4,2,6,1,3] => [1,1,1,2,2]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [7,3,5,2,6,1,4] => [1,2,2,2]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [7,4,2,5,6,1,3] => [1,1,3,2]
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [7,3,4,5,6,1,2] => [1,4,2]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [7,6,2,3,4,5,1] => [1,1,4,1]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [7,6,2,3,5,4,1] => [1,1,3,1,1]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [7,6,2,5,3,4,1] => [1,1,2,2,1]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [7,6,2,5,4,3,1] => [1,1,2,1,1,1]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [7,6,2,4,5,3,1] => [1,1,3,1,1]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [7,6,4,2,3,5,1] => [1,1,1,3,1]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [7,6,4,2,5,3,1] => [1,1,1,2,1,1]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [7,6,5,3,2,4,1] => [1,1,1,1,2,1]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [7,6,4,5,2,3,1] => [1,1,2,2,1]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [7,6,5,3,4,2,1] => [1,1,1,2,1,1]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [7,6,4,5,3,2,1] => [1,1,2,1,1,1]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [7,6,4,3,5,2,1] => [1,1,1,2,1,1]
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [7,6,3,4,5,2,1] => [1,1,3,1,1]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [7,3,6,2,4,5,1] => [1,2,3,1]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [7,3,6,2,5,4,1] => [1,2,2,1,1]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [7,3,6,5,2,4,1] => [1,2,1,2,1]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [7,3,6,5,4,2,1] => [1,2,1,1,1,1]
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [7,3,6,4,5,2,1] => [1,2,2,1,1]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [7,4,2,6,3,5,1] => [1,1,2,2,1]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [7,4,2,6,5,3,1] => [1,1,2,1,1,1]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [7,3,4,6,2,5,1] => [1,3,2,1]
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [7,3,4,6,5,2,1] => [1,3,1,1,1]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [7,5,2,3,6,4,1] => [1,1,3,1,1]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [7,5,4,2,6,3,1] => [1,1,1,2,1,1]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [7,3,5,2,6,4,1] => [1,2,2,1,1]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [7,4,2,5,6,3,1] => [1,1,3,1,1]
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [7,3,4,5,6,2,1] => [1,4,1,1]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [7,5,2,3,4,6,1] => [1,1,4,1]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [7,5,2,4,3,6,1] => [1,1,2,2,1]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [7,5,4,2,3,6,1] => [1,1,1,3,1]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [7,5,4,3,2,6,1] => [1,1,1,1,2,1]
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [7,5,3,4,2,6,1] => [1,1,2,2,1]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [7,3,5,2,4,6,1] => [1,2,3,1]
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [7,3,5,4,2,6,1] => [1,2,1,2,1]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [7,4,2,5,3,6,1] => [1,1,2,2,1]
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [7,3,4,5,2,6,1] => [1,3,2,1]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [7,4,2,3,5,6,1] => [1,1,4,1]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [7,4,3,2,5,6,1] => [1,1,1,3,1]
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [7,3,4,2,5,6,1] => [1,2,3,1]
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [7,3,2,4,5,6,1] => [1,1,4,1]
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [7,2,3,4,5,6,1] => [1,5,1]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [2,7,1,3,4,5,6] => [2,5]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [2,7,1,3,4,6,5] => [2,4,1]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [2,7,1,3,6,4,5] => [2,3,2]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [2,7,1,3,6,5,4] => [2,3,1,1]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [2,7,1,3,5,6,4] => [2,4,1]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [2,7,1,5,3,4,6] => [2,2,3]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [2,7,1,5,3,6,4] => [2,2,2,1]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [2,7,1,6,4,3,5] => [2,2,1,2]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [2,7,1,5,6,3,4] => [2,3,2]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [2,7,1,6,4,5,3] => [2,2,2,1]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [2,7,1,6,5,4,3] => [2,2,1,1,1]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [2,7,1,5,6,4,3] => [2,3,1,1]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [2,7,1,5,4,6,3] => [2,2,2,1]
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [2,7,1,4,5,6,3] => [2,4,1]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [2,7,4,1,3,5,6] => [2,1,4]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [2,7,4,1,3,6,5] => [2,1,3,1]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [2,7,4,1,6,3,5] => [2,1,2,2]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [2,7,4,1,6,5,3] => [2,1,2,1,1]
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [2,7,4,1,5,6,3] => [2,1,3,1]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [2,7,5,3,1,4,6] => [2,1,1,3]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [2,7,5,3,1,6,4] => [2,1,1,2,1]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [2,7,4,5,1,3,6] => [2,2,3]
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [2,7,4,5,1,6,3] => [2,2,2,1]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [2,7,6,3,4,1,5] => [2,1,2,2]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [2,7,6,5,3,1,4] => [2,1,1,1,2]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [2,7,4,6,3,1,5] => [2,2,1,2]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [2,7,5,3,6,1,4] => [2,1,2,2]
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [2,7,4,5,6,1,3] => [2,3,2]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [2,7,6,3,4,5,1] => [2,1,3,1]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [2,7,6,3,5,4,1] => [2,1,2,1,1]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [2,7,6,5,3,4,1] => [2,1,1,2,1]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [2,7,6,5,4,3,1] => [2,1,1,1,1,1]
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [2,7,6,4,5,3,1] => [2,1,2,1,1]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [2,7,4,6,3,5,1] => [2,2,2,1]
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [2,7,4,6,5,3,1] => [2,2,1,1,1]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [2,7,5,3,6,4,1] => [2,1,2,1,1]
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [2,7,4,5,6,3,1] => [2,3,1,1]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [2,7,5,3,4,6,1] => [2,1,3,1]
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [2,7,5,4,3,6,1] => [2,1,1,2,1]
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [2,7,4,5,3,6,1] => [2,2,2,1]
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [2,7,4,3,5,6,1] => [2,1,3,1]
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [2,7,3,4,5,6,1] => [2,4,1]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [3,1,7,2,4,5,6] => [1,2,4]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [3,1,7,2,4,6,5] => [1,2,3,1]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [3,1,7,2,6,4,5] => [1,2,2,2]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [3,1,7,2,6,5,4] => [1,2,2,1,1]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [3,1,7,2,5,6,4] => [1,2,3,1]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [3,1,7,5,2,4,6] => [1,2,1,3]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [3,1,7,5,2,6,4] => [1,2,1,2,1]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [3,1,7,6,4,2,5] => [1,2,1,1,2]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [3,1,7,5,6,2,4] => [1,2,2,2]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [3,1,7,6,4,5,2] => [1,2,1,2,1]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [3,1,7,6,5,4,2] => [1,2,1,1,1,1]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [3,1,7,5,6,4,2] => [1,2,2,1,1]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [3,1,7,5,4,6,2] => [1,2,1,2,1]
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [3,1,7,4,5,6,2] => [1,2,3,1]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [2,3,7,1,4,5,6] => [3,4]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [2,3,7,1,4,6,5] => [3,3,1]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [2,3,7,1,6,4,5] => [3,2,2]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [2,3,7,1,6,5,4] => [3,2,1,1]
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [2,3,7,1,5,6,4] => [3,3,1]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [2,3,7,5,1,4,6] => [3,1,3]
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [2,3,7,5,1,6,4] => [3,1,2,1]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [2,3,7,6,4,1,5] => [3,1,1,2]
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [2,3,7,5,6,1,4] => [3,2,2]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [2,3,7,6,4,5,1] => [3,1,2,1]
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [2,3,7,6,5,4,1] => [3,1,1,1,1]
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [2,3,7,5,6,4,1] => [3,2,1,1]
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [2,3,7,5,4,6,1] => [3,1,2,1]
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [2,3,7,4,5,6,1] => [3,3,1]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [4,1,2,7,3,5,6] => [1,3,3]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [4,1,2,7,3,6,5] => [1,3,2,1]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [4,1,2,7,6,3,5] => [1,3,1,2]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [4,1,2,7,6,5,3] => [1,3,1,1,1]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [4,1,2,7,5,6,3] => [1,3,2,1]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [4,3,1,7,2,5,6] => [1,1,2,3]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [4,3,1,7,2,6,5] => [1,1,2,2,1]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [4,3,1,7,6,2,5] => [1,1,2,1,2]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [4,3,1,7,6,5,2] => [1,1,2,1,1,1]
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [4,3,1,7,5,6,2] => [1,1,2,2,1]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [2,4,1,7,3,5,6] => [2,2,3]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [2,4,1,7,3,6,5] => [2,2,2,1]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [2,4,1,7,6,3,5] => [2,2,1,2]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [2,4,1,7,6,5,3] => [2,2,1,1,1]
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [2,4,1,7,5,6,3] => [2,2,2,1]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [3,1,4,7,2,5,6] => [1,3,3]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [3,1,4,7,2,6,5] => [1,3,2,1]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [3,1,4,7,6,2,5] => [1,3,1,2]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [3,1,4,7,6,5,2] => [1,3,1,1,1]
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [3,1,4,7,5,6,2] => [1,3,2,1]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [2,3,4,7,1,5,6] => [4,3]
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [2,3,4,7,1,6,5] => [4,2,1]
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [2,3,4,7,6,1,5] => [4,1,2]
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [2,3,4,7,6,5,1] => [4,1,1,1]
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [2,3,4,7,5,6,1] => [4,2,1]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [5,1,2,3,7,4,6] => [1,4,2]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [5,1,2,3,7,6,4] => [1,4,1,1]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [5,1,4,2,7,3,6] => [1,2,2,2]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [5,1,4,2,7,6,3] => [1,2,2,1,1]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [5,3,1,2,7,4,6] => [1,1,3,2]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [5,3,1,2,7,6,4] => [1,1,3,1,1]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [5,4,2,1,7,3,6] => [1,1,1,2,2]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [5,4,2,1,7,6,3] => [1,1,1,2,1,1]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [5,3,4,1,7,2,6] => [1,2,2,2]
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [5,3,4,1,7,6,2] => [1,2,2,1,1]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [2,5,1,3,7,4,6] => [2,3,2]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [2,5,1,3,7,6,4] => [2,3,1,1]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [2,5,4,1,7,3,6] => [2,1,2,2]
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [2,5,4,1,7,6,3] => [2,1,2,1,1]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [3,1,5,2,7,4,6] => [1,2,2,2]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [3,1,5,2,7,6,4] => [1,2,2,1,1]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [2,3,5,1,7,4,6] => [3,2,2]
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [2,3,5,1,7,6,4] => [3,2,1,1]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [4,1,2,5,7,3,6] => [1,4,2]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [4,1,2,5,7,6,3] => [1,4,1,1]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [4,3,1,5,7,2,6] => [1,1,3,2]
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [4,3,1,5,7,6,2] => [1,1,3,1,1]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [2,4,1,5,7,3,6] => [2,3,2]
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [2,4,1,5,7,6,3] => [2,3,1,1]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [3,1,4,5,7,2,6] => [1,4,2]
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [3,1,4,5,7,6,2] => [1,4,1,1]
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [2,3,4,5,7,1,6] => [5,2]
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [2,3,4,5,7,6,1] => [5,1,1]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [6,1,2,3,4,7,5] => [1,5,1]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [6,1,2,5,3,7,4] => [1,3,2,1]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [6,1,4,2,3,7,5] => [1,2,3,1]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [6,1,5,3,2,7,4] => [1,2,1,2,1]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [6,1,4,5,2,7,3] => [1,3,2,1]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [6,3,1,2,4,7,5] => [1,1,4,1]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [6,3,1,5,2,7,4] => [1,1,2,2,1]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [6,4,2,1,3,7,5] => [1,1,1,3,1]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [6,3,4,1,2,7,5] => [1,2,3,1]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [6,5,2,3,1,7,4] => [1,1,2,2,1]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [6,5,4,2,1,7,3] => [1,1,1,1,2,1]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [6,3,5,2,1,7,4] => [1,2,1,2,1]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [6,4,2,5,1,7,3] => [1,1,2,2,1]
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [6,3,4,5,1,7,2] => [1,3,2,1]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [2,6,1,3,4,7,5] => [2,4,1]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [2,6,1,5,3,7,4] => [2,2,2,1]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [2,6,4,1,3,7,5] => [2,1,3,1]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [2,6,5,3,1,7,4] => [2,1,1,2,1]
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [2,6,4,5,1,7,3] => [2,2,2,1]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [3,1,6,2,4,7,5] => [1,2,3,1]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [3,1,6,5,2,7,4] => [1,2,1,2,1]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [2,3,6,1,4,7,5] => [3,3,1]
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [2,3,6,5,1,7,4] => [3,1,2,1]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [4,1,2,6,3,7,5] => [1,3,2,1]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [4,3,1,6,2,7,5] => [1,1,2,2,1]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [2,4,1,6,3,7,5] => [2,2,2,1]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [3,1,4,6,2,7,5] => [1,3,2,1]
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [2,3,4,6,1,7,5] => [4,2,1]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [5,1,2,3,6,7,4] => [1,5,1]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [5,1,4,2,6,7,3] => [1,2,3,1]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [5,3,1,2,6,7,4] => [1,1,4,1]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [5,4,2,1,6,7,3] => [1,1,1,3,1]
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [5,3,4,1,6,7,2] => [1,2,3,1]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [2,5,1,3,6,7,4] => [2,4,1]
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [2,5,4,1,6,7,3] => [2,1,3,1]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [3,1,5,2,6,7,4] => [1,2,3,1]
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [2,3,5,1,6,7,4] => [3,3,1]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [4,1,2,5,6,7,3] => [1,5,1]
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [4,3,1,5,6,7,2] => [1,1,4,1]
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [2,4,1,5,6,7,3] => [2,4,1]
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [3,1,4,5,6,7,2] => [1,5,1]
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => [6,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,1,2,3,4,5,7] => [1,6]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [6,1,2,3,5,4,7] => [1,4,2]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [6,1,2,5,3,4,7] => [1,3,3]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [6,1,2,5,4,3,7] => [1,3,1,2]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [6,1,2,4,5,3,7] => [1,4,2]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [6,1,4,2,3,5,7] => [1,2,4]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [6,1,4,2,5,3,7] => [1,2,2,2]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [6,1,5,3,2,4,7] => [1,2,1,3]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [6,1,4,5,2,3,7] => [1,3,3]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [6,1,5,3,4,2,7] => [1,2,2,2]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [6,1,5,4,3,2,7] => [1,2,1,1,2]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [6,1,4,5,3,2,7] => [1,3,1,2]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [6,1,4,3,5,2,7] => [1,2,2,2]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [6,1,3,4,5,2,7] => [1,4,2]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [6,3,1,2,4,5,7] => [1,1,5]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [6,3,1,2,5,4,7] => [1,1,3,2]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [6,3,1,5,2,4,7] => [1,1,2,3]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [6,3,1,5,4,2,7] => [1,1,2,1,2]
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [6,3,1,4,5,2,7] => [1,1,3,2]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [6,4,2,1,3,5,7] => [1,1,1,4]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [6,4,2,1,5,3,7] => [1,1,1,2,2]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [6,3,4,1,2,5,7] => [1,2,4]
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [6,3,4,1,5,2,7] => [1,2,2,2]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [6,5,2,3,1,4,7] => [1,1,2,3]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [6,5,4,2,1,3,7] => [1,1,1,1,3]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [6,3,5,2,1,4,7] => [1,2,1,3]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [6,4,2,5,1,3,7] => [1,1,2,3]
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [6,3,4,5,1,2,7] => [1,3,3]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [6,5,2,3,4,1,7] => [1,1,3,2]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [6,5,2,4,3,1,7] => [1,1,2,1,2]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [6,5,4,2,3,1,7] => [1,1,1,2,2]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [6,5,4,3,2,1,7] => [1,1,1,1,1,2]
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [6,5,3,4,2,1,7] => [1,1,2,1,2]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [6,3,5,2,4,1,7] => [1,2,2,2]
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [6,3,5,4,2,1,7] => [1,2,1,1,2]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [6,4,2,5,3,1,7] => [1,1,2,1,2]
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [6,3,4,5,2,1,7] => [1,3,1,2]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [6,4,2,3,5,1,7] => [1,1,3,2]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [6,4,3,2,5,1,7] => [1,1,1,2,2]
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [6,3,4,2,5,1,7] => [1,2,2,2]
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [6,3,2,4,5,1,7] => [1,1,3,2]
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [6,2,3,4,5,1,7] => [1,4,2]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [2,6,1,3,4,5,7] => [2,5]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [2,6,1,3,5,4,7] => [2,3,2]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [2,6,1,5,3,4,7] => [2,2,3]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [2,6,1,5,4,3,7] => [2,2,1,2]
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [2,6,1,4,5,3,7] => [2,3,2]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [2,6,4,1,3,5,7] => [2,1,4]
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [2,6,4,1,5,3,7] => [2,1,2,2]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [2,6,5,3,1,4,7] => [2,1,1,3]
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [2,6,4,5,1,3,7] => [2,2,3]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [2,6,5,3,4,1,7] => [2,1,2,2]
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [2,6,5,4,3,1,7] => [2,1,1,1,2]
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [2,6,4,5,3,1,7] => [2,2,1,2]
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [2,6,4,3,5,1,7] => [2,1,2,2]
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [2,6,3,4,5,1,7] => [2,3,2]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [3,1,6,2,4,5,7] => [1,2,4]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [3,1,6,2,5,4,7] => [1,2,2,2]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [3,1,6,5,2,4,7] => [1,2,1,3]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [3,1,6,5,4,2,7] => [1,2,1,1,2]
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [3,1,6,4,5,2,7] => [1,2,2,2]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [2,3,6,1,4,5,7] => [3,4]
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [2,3,6,1,5,4,7] => [3,2,2]
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [2,3,6,5,1,4,7] => [3,1,3]
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [2,3,6,5,4,1,7] => [3,1,1,2]
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [2,3,6,4,5,1,7] => [3,2,2]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [4,1,2,6,3,5,7] => [1,3,3]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [4,1,2,6,5,3,7] => [1,3,1,2]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [4,3,1,6,2,5,7] => [1,1,2,3]
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [4,3,1,6,5,2,7] => [1,1,2,1,2]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [2,4,1,6,3,5,7] => [2,2,3]
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [2,4,1,6,5,3,7] => [2,2,1,2]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [3,1,4,6,2,5,7] => [1,3,3]
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [3,1,4,6,5,2,7] => [1,3,1,2]
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [2,3,4,6,1,5,7] => [4,3]
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [2,3,4,6,5,1,7] => [4,1,2]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [5,1,2,3,6,4,7] => [1,4,2]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [5,1,4,2,6,3,7] => [1,2,2,2]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [5,3,1,2,6,4,7] => [1,1,3,2]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [5,4,2,1,6,3,7] => [1,1,1,2,2]
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [5,3,4,1,6,2,7] => [1,2,2,2]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [2,5,1,3,6,4,7] => [2,3,2]
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [2,5,4,1,6,3,7] => [2,1,2,2]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [3,1,5,2,6,4,7] => [1,2,2,2]
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [2,3,5,1,6,4,7] => [3,2,2]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [4,1,2,5,6,3,7] => [1,4,2]
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [4,3,1,5,6,2,7] => [1,1,3,2]
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [2,4,1,5,6,3,7] => [2,3,2]
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [3,1,4,5,6,2,7] => [1,4,2]
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => [5,2]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,1,2,3,4,6,7] => [1,6]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [5,1,2,4,3,6,7] => [1,3,3]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [5,1,4,2,3,6,7] => [1,2,4]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [5,1,4,3,2,6,7] => [1,2,1,3]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [5,1,3,4,2,6,7] => [1,3,3]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [5,3,1,2,4,6,7] => [1,1,5]
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [5,3,1,4,2,6,7] => [1,1,2,3]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [5,4,2,1,3,6,7] => [1,1,1,4]
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [5,3,4,1,2,6,7] => [1,2,4]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [5,4,2,3,1,6,7] => [1,1,2,3]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,4,3,2,1,6,7] => [1,1,1,1,3]
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [5,3,4,2,1,6,7] => [1,2,1,3]
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [5,3,2,4,1,6,7] => [1,1,2,3]
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [5,2,3,4,1,6,7] => [1,3,3]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [2,5,1,3,4,6,7] => [2,5]
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [2,5,1,4,3,6,7] => [2,2,3]
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [2,5,4,1,3,6,7] => [2,1,4]
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [2,5,4,3,1,6,7] => [2,1,1,3]
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [2,5,3,4,1,6,7] => [2,2,3]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [3,1,5,2,4,6,7] => [1,2,4]
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [3,1,5,4,2,6,7] => [1,2,1,3]
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [2,3,5,1,4,6,7] => [3,4]
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [2,3,5,4,1,6,7] => [3,1,3]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [4,1,2,5,3,6,7] => [1,3,3]
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [4,3,1,5,2,6,7] => [1,1,2,3]
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [2,4,1,5,3,6,7] => [2,2,3]
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [3,1,4,5,2,6,7] => [1,3,3]
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => [4,3]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,1,2,3,5,6,7] => [1,6]
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [4,1,3,2,5,6,7] => [1,2,4]
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [4,3,1,2,5,6,7] => [1,1,5]
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [4,3,2,1,5,6,7] => [1,1,1,4]
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [4,2,3,1,5,6,7] => [1,2,4]
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [2,4,1,3,5,6,7] => [2,5]
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [2,4,3,1,5,6,7] => [2,1,4]
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [3,1,4,2,5,6,7] => [1,2,4]
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => [3,4]
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,1,2,4,5,6,7] => [1,6]
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => [1,1,5]
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => [2,5]
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [1,6]
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [8,1,2,3,4,5,6,7] => [1,7]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [8,1,2,3,4,5,7,6] => [1,6,1]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [8,1,2,3,4,7,5,6] => [1,5,2]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [8,1,2,3,4,7,6,5] => [1,5,1,1]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [8,1,2,3,4,6,7,5] => [1,6,1]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [8,1,2,3,6,4,5,7] => [1,4,3]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [8,1,2,3,6,4,7,5] => [1,4,2,1]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [8,1,2,3,7,5,4,6] => [1,4,1,2]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [8,1,2,3,6,7,4,5] => [1,5,2]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [8,1,2,3,7,5,6,4] => [1,4,2,1]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [8,1,2,3,7,6,5,4] => [1,4,1,1,1]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [8,1,2,3,6,7,5,4] => [1,5,1,1]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [8,1,2,3,6,5,7,4] => [1,4,2,1]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [8,1,2,3,5,6,7,4] => [1,6,1]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [8,1,2,5,3,4,6,7] => [1,3,4]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [8,1,2,5,3,4,7,6] => [1,3,3,1]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [8,1,2,5,3,7,4,6] => [1,3,2,2]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [7,6,8,4,5,3,2,1] => [8,1,2,5,3,7,6,4] => [1,3,2,1,1]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [6,7,8,4,5,3,2,1] => [8,1,2,5,3,6,7,4] => [1,3,3,1]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [7,8,5,4,6,3,2,1] => [8,1,2,6,4,3,7,5] => [1,3,1,2,1]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [8,1,2,5,6,3,4,7] => [1,4,3]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [7,8,4,5,6,3,2,1] => [8,1,2,5,6,3,7,4] => [1,4,2,1]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [8,1,2,7,4,5,3,6] => [1,3,2,2]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [8,5,6,4,7,3,2,1] => [8,1,2,7,6,4,3,5] => [1,3,1,1,2]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [8,6,4,5,7,3,2,1] => [8,1,2,5,7,4,3,6] => [1,4,1,2]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [8,1,2,5,6,7,3,4] => [1,5,2]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [8,1,2,7,4,5,6,3] => [1,3,3,1]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [8,1,2,7,4,6,5,3] => [1,3,2,1,1]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [8,1,2,7,6,4,5,3] => [1,3,1,2,1]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [8,1,2,7,6,5,4,3] => [1,3,1,1,1,1]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [7,6,4,5,8,3,2,1] => [8,1,2,5,7,4,6,3] => [1,4,2,1]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [6,7,4,5,8,3,2,1] => [8,1,2,5,7,6,4,3] => [1,4,1,1,1]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [7,5,4,6,8,3,2,1] => [8,1,2,6,4,7,5,3] => [1,3,2,1,1]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [8,1,2,5,6,7,4,3] => [1,5,1,1]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [8,1,2,6,4,5,7,3] => [1,3,3,1]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [8,1,2,6,5,4,7,3] => [1,3,1,2,1]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [8,1,2,5,6,4,7,3] => [1,4,2,1]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [8,1,2,4,5,6,7,3] => [1,6,1]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [8,1,4,2,3,5,6,7] => [1,2,5]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [8,1,4,2,3,5,7,6] => [1,2,4,1]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [8,1,4,2,3,7,5,6] => [1,2,3,2]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [8,1,4,2,3,7,6,5] => [1,2,3,1,1]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [6,7,8,5,3,4,2,1] => [8,1,4,2,3,6,7,5] => [1,2,4,1]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [8,1,4,2,6,3,5,7] => [1,2,2,3]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [8,1,4,2,6,3,7,5] => [1,2,2,2,1]
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [8,6,5,7,3,4,2,1] => [8,1,4,2,7,5,3,6] => [1,2,2,1,2]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [8,5,6,7,3,4,2,1] => [8,1,4,2,6,7,3,5] => [1,2,3,2]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [7,6,5,8,3,4,2,1] => [8,1,4,2,7,5,6,3] => [1,2,2,2,1]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [6,7,5,8,3,4,2,1] => [8,1,4,2,7,6,5,3] => [1,2,2,1,1,1]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [7,5,6,8,3,4,2,1] => [8,1,4,2,6,7,5,3] => [1,2,3,1,1]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [8,1,4,2,6,5,7,3] => [1,2,2,2,1]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [8,1,4,2,5,6,7,3] => [1,2,4,1]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [8,7,6,4,3,5,2,1] => [8,1,5,3,2,4,6,7] => [1,2,1,4]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [7,8,6,4,3,5,2,1] => [8,1,5,3,2,4,7,6] => [1,2,1,3,1]
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [8,1,5,3,2,7,4,6] => [1,2,1,2,2]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [8,1,5,3,2,6,7,4] => [1,2,1,3,1]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [8,1,4,5,2,3,6,7] => [1,3,4]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [7,8,6,3,4,5,2,1] => [8,1,4,5,2,3,7,6] => [1,3,3,1]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [8,6,7,3,4,5,2,1] => [8,1,4,5,2,7,3,6] => [1,3,2,2]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [8,1,4,5,2,6,7,3] => [1,3,3,1]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [8,1,6,3,4,2,5,7] => [1,2,2,3]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [8,1,6,3,4,2,7,5] => [1,2,2,2,1]
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [8,7,4,5,3,6,2,1] => [8,1,6,5,3,2,4,7] => [1,2,1,1,3]
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [8,7,5,3,4,6,2,1] => [8,1,4,6,3,2,5,7] => [1,3,1,3]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [8,1,5,3,6,2,4,7] => [1,2,2,3]
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [7,8,4,3,5,6,2,1] => [8,1,5,3,6,2,7,4] => [1,2,2,2,1]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [8,1,4,5,6,2,3,7] => [1,4,3]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [7,8,3,4,5,6,2,1] => [8,1,4,5,6,2,7,3] => [1,4,2,1]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [8,1,7,3,4,5,2,6] => [1,2,3,2]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [8,5,6,4,3,7,2,1] => [8,1,7,3,6,4,2,5] => [1,2,2,1,2]
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [8,5,4,6,3,7,2,1] => [8,1,7,6,4,3,2,5] => [1,2,1,1,1,2]
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [8,5,6,3,4,7,2,1] => [8,1,4,7,6,3,2,5] => [1,3,1,1,2]
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [8,6,3,4,5,7,2,1] => [8,1,4,5,7,3,2,6] => [1,4,1,2]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [8,1,6,3,4,7,2,5] => [1,2,3,2]
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [8,5,3,4,6,7,2,1] => [8,1,4,6,3,7,2,5] => [1,3,2,2]
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [8,4,3,5,6,7,2,1] => [8,1,5,3,6,7,2,4] => [1,2,3,2]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [8,1,4,5,6,7,2,3] => [1,5,2]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [8,1,7,3,4,5,6,2] => [1,2,4,1]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [7,5,6,4,3,8,2,1] => [8,1,7,3,6,4,5,2] => [1,2,2,2,1]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [8,1,7,3,6,5,4,2] => [1,2,2,1,1,1]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [8,1,7,3,5,6,4,2] => [1,2,3,1,1]
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [7,6,4,5,3,8,2,1] => [8,1,7,5,3,4,6,2] => [1,2,1,3,1]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [8,1,7,6,4,3,5,2] => [1,2,1,1,2,1]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [8,1,7,6,4,5,3,2] => [1,2,1,2,1,1]
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [5,6,4,7,3,8,2,1] => [8,1,7,6,5,4,3,2] => [1,2,1,1,1,1,1]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [8,1,7,5,6,4,3,2] => [1,2,2,1,1,1]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [8,1,7,5,4,6,3,2] => [1,2,1,2,1,1]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [8,1,7,4,5,6,3,2] => [1,2,3,1,1]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [7,6,5,3,4,8,2,1] => [8,1,4,7,3,5,6,2] => [1,3,3,1]
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [6,7,5,3,4,8,2,1] => [8,1,4,7,3,6,5,2] => [1,3,2,1,1]
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [6,5,7,3,4,8,2,1] => [8,1,4,7,6,5,3,2] => [1,3,1,1,1,1]
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [5,6,7,3,4,8,2,1] => [8,1,4,7,5,6,3,2] => [1,3,2,1,1]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [7,6,4,3,5,8,2,1] => [8,1,5,3,7,4,6,2] => [1,2,2,2,1]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [7,6,3,4,5,8,2,1] => [8,1,4,5,7,3,6,2] => [1,4,2,1]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [7,5,4,3,6,8,2,1] => [8,1,6,3,4,7,5,2] => [1,2,3,1,1]
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [7,4,5,3,6,8,2,1] => [8,1,6,5,3,7,4,2] => [1,2,1,2,1,1]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [7,5,3,4,6,8,2,1] => [8,1,4,6,3,7,5,2] => [1,3,2,1,1]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [8,1,4,5,6,7,3,2] => [1,5,1,1]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [8,1,6,3,4,5,7,2] => [1,2,4,1]
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [5,6,4,3,7,8,2,1] => [8,1,6,3,5,4,7,2] => [1,2,2,2,1]
[.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [5,4,6,3,7,8,2,1] => [8,1,6,5,4,3,7,2] => [1,2,1,1,2,1]
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [8,1,6,4,5,3,7,2] => [1,2,2,2,1]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [6,5,3,4,7,8,2,1] => [8,1,4,6,3,5,7,2] => [1,3,3,1]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [6,4,3,5,7,8,2,1] => [8,1,5,3,6,4,7,2] => [1,2,2,2,1]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [8,1,4,5,6,3,7,2] => [1,4,2,1]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [8,1,5,3,4,6,7,2] => [1,2,4,1]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [4,5,3,6,7,8,2,1] => [8,1,5,4,3,6,7,2] => [1,2,1,3,1]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [5,3,4,6,7,8,2,1] => [8,1,4,5,3,6,7,2] => [1,3,3,1]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [8,1,4,3,5,6,7,2] => [1,2,4,1]
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [8,1,3,4,5,6,7,2] => [1,6,1]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [8,3,1,2,4,5,6,7] => [1,1,6]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [8,3,1,2,4,5,7,6] => [1,1,5,1]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [8,3,1,2,4,7,5,6] => [1,1,4,2]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [8,3,1,2,4,7,6,5] => [1,1,4,1,1]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [8,3,1,2,6,4,5,7] => [1,1,3,3]
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,2,3,1] => [8,3,1,2,6,4,7,5] => [1,1,3,2,1]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,2,3,1] => [8,3,1,2,6,7,4,5] => [1,1,4,2]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [8,3,1,2,7,6,5,4] => [1,1,3,1,1,1]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [8,3,1,2,5,6,7,4] => [1,1,5,1]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [8,3,1,5,2,4,6,7] => [1,1,2,4]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [8,3,1,5,2,7,4,6] => [1,1,2,2,2]
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,2,3,1] => [8,3,1,5,2,7,6,4] => [1,1,2,2,1,1]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,2,3,1] => [8,3,1,5,2,6,7,4] => [1,1,2,3,1]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [8,3,1,6,4,2,5,7] => [1,1,2,1,3]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [8,3,1,5,6,2,7,4] => [1,1,3,2,1]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [8,6,5,4,7,2,3,1] => [8,3,1,7,4,5,2,6] => [1,1,2,2,2]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [8,3,1,7,6,4,2,5] => [1,1,2,1,1,2]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,2,3,1] => [8,3,1,7,4,5,6,2] => [1,1,2,3,1]
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [6,7,5,4,8,2,3,1] => [8,3,1,7,4,6,5,2] => [1,1,2,2,1,1]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [8,3,1,7,6,4,5,2] => [1,1,2,1,2,1]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [8,3,1,7,6,5,4,2] => [1,1,2,1,1,1,1]
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [5,6,7,4,8,2,3,1] => [8,3,1,7,5,6,4,2] => [1,1,2,2,1,1]
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,2,3,1] => [8,3,1,5,7,4,6,2] => [1,1,3,2,1]
[.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [7,4,5,6,8,2,3,1] => [8,3,1,5,6,7,4,2] => [1,1,4,1,1]
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,2,3,1] => [8,3,1,6,5,4,7,2] => [1,1,2,1,2,1]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,2,3,1] => [8,3,1,5,4,6,7,2] => [1,1,2,3,1]
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [8,3,1,4,5,6,7,2] => [1,1,5,1]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [8,4,2,1,3,5,6,7] => [1,1,1,5]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,2,4,1] => [8,4,2,1,3,5,7,6] => [1,1,1,4,1]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,2,4,1] => [8,4,2,1,3,7,5,6] => [1,1,1,3,2]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [8,4,2,1,3,7,6,5] => [1,1,1,3,1,1]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [8,4,2,1,3,6,7,5] => [1,1,1,4,1]
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [8,4,2,1,6,3,5,7] => [1,1,1,2,3]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,2,4,1] => [8,4,2,1,6,3,7,5] => [1,1,1,2,2,1]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [8,4,2,1,7,5,3,6] => [1,1,1,2,1,2]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,2,4,1] => [8,4,2,1,6,7,3,5] => [1,1,1,3,2]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [8,4,2,1,7,5,6,3] => [1,1,1,2,2,1]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [8,4,2,1,7,6,5,3] => [1,1,1,2,1,1,1]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,2,4,1] => [8,4,2,1,6,7,5,3] => [1,1,1,3,1,1]
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,2,4,1] => [8,4,2,1,6,5,7,3] => [1,1,1,2,2,1]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [8,4,2,1,5,6,7,3] => [1,1,1,4,1]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [8,3,4,1,2,5,6,7] => [1,2,5]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,2,3,4,1] => [8,3,4,1,2,7,5,6] => [1,2,3,2]
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,2,3,4,1] => [8,3,4,1,2,7,6,5] => [1,2,3,1,1]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [8,3,4,1,2,6,7,5] => [1,2,4,1]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,2,3,4,1] => [8,3,4,1,6,2,5,7] => [1,2,2,3]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [7,8,5,6,2,3,4,1] => [8,3,4,1,6,2,7,5] => [1,2,2,2,1]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,2,3,4,1] => [8,3,4,1,7,5,2,6] => [1,2,2,1,2]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [8,3,4,1,6,7,2,5] => [1,2,3,2]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,2,3,4,1] => [8,3,4,1,7,5,6,2] => [1,2,2,2,1]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [6,7,5,8,2,3,4,1] => [8,3,4,1,7,6,5,2] => [1,2,2,1,1,1]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [6,5,7,8,2,3,4,1] => [8,3,4,1,6,5,7,2] => [1,2,2,2,1]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [8,3,4,1,5,6,7,2] => [1,2,4,1]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [8,7,6,4,3,2,5,1] => [8,5,2,3,1,4,6,7] => [1,1,2,4]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [7,8,6,4,3,2,5,1] => [8,5,2,3,1,4,7,6] => [1,1,2,3,1]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [8,6,7,4,3,2,5,1] => [8,5,2,3,1,7,4,6] => [1,1,2,2,2]
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [8,5,2,3,1,7,6,4] => [1,1,2,2,1,1]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [6,7,8,4,3,2,5,1] => [8,5,2,3,1,6,7,4] => [1,1,2,3,1]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [8,5,4,2,1,3,6,7] => [1,1,1,1,4]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [7,8,6,3,4,2,5,1] => [8,5,4,2,1,3,7,6] => [1,1,1,1,3,1]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [8,5,4,2,1,7,3,6] => [1,1,1,1,2,2]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [8,5,4,2,1,7,6,3] => [1,1,1,1,2,1,1]
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [8,5,4,2,1,6,7,3] => [1,1,1,1,3,1]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,2,3,5,1] => [8,3,5,2,1,4,6,7] => [1,2,1,4]
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,2,3,5,1] => [8,3,5,2,1,4,7,6] => [1,2,1,3,1]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,2,3,5,1] => [8,3,5,2,1,7,4,6] => [1,2,1,2,2]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [8,3,5,2,1,6,7,4] => [1,2,1,3,1]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [8,4,2,5,1,3,6,7] => [1,1,2,4]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [8,4,2,5,1,3,7,6] => [1,1,2,3,1]
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [8,6,7,3,2,4,5,1] => [8,4,2,5,1,7,3,6] => [1,1,2,2,2]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [8,4,2,5,1,6,7,3] => [1,1,2,3,1]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [8,7,6,2,3,4,5,1] => [8,3,4,5,1,2,6,7] => [1,3,4]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [8,3,4,5,1,7,2,6] => [1,3,2,2]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [7,6,8,2,3,4,5,1] => [8,3,4,5,1,7,6,2] => [1,3,2,1,1]
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [8,3,4,5,1,6,7,2] => [1,3,3,1]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [8,6,2,3,4,1,5,7] => [1,1,3,3]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [8,6,2,3,4,1,7,5] => [1,1,3,2,1]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [8,6,4,2,3,1,5,7] => [1,1,1,2,3]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [8,6,4,2,3,1,7,5] => [1,1,1,2,2,1]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [8,6,5,3,2,1,4,7] => [1,1,1,1,1,3]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [7,8,4,3,5,2,6,1] => [8,6,5,3,2,1,7,4] => [1,1,1,1,1,2,1]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [7,8,3,4,5,2,6,1] => [8,6,4,5,2,1,7,3] => [1,1,2,1,2,1]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [8,7,5,4,2,3,6,1] => [8,3,6,2,4,1,5,7] => [1,2,2,3]
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,2,3,6,1] => [8,3,6,2,4,1,7,5] => [1,2,2,2,1]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [7,8,4,5,2,3,6,1] => [8,3,6,5,2,1,7,4] => [1,2,1,1,2,1]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [7,8,5,2,3,4,6,1] => [8,3,4,6,2,1,7,5] => [1,3,1,2,1]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [8,7,4,3,2,5,6,1] => [8,5,2,3,6,1,4,7] => [1,1,3,3]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [7,8,4,3,2,5,6,1] => [8,5,2,3,6,1,7,4] => [1,1,3,2,1]
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [8,7,3,4,2,5,6,1] => [8,5,4,2,6,1,3,7] => [1,1,1,2,3]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [7,8,3,4,2,5,6,1] => [8,5,4,2,6,1,7,3] => [1,1,1,2,2,1]
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [7,8,4,2,3,5,6,1] => [8,3,5,2,6,1,7,4] => [1,2,2,2,1]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [8,4,2,5,6,1,7,3] => [1,1,3,2,1]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [8,3,4,5,6,1,2,7] => [1,4,3]
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [8,3,4,5,6,1,7,2] => [1,4,2,1]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [8,7,2,3,4,5,1,6] => [1,1,4,2]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [8,6,4,5,3,2,7,1] => [8,7,2,5,3,4,1,6] => [1,1,2,2,2]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [8,7,2,6,4,3,1,5] => [1,1,2,1,1,2]
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [8,6,5,3,4,2,7,1] => [8,7,4,2,3,5,1,6] => [1,1,1,3,2]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [8,7,4,2,6,3,1,5] => [1,1,1,2,1,2]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [8,7,5,3,2,4,1,6] => [1,1,1,1,2,2]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [8,6,3,4,5,2,7,1] => [8,7,4,5,2,3,1,6] => [1,1,2,2,2]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [8,7,6,3,4,2,1,5] => [1,1,1,2,1,2]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,2]
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [8,5,3,4,6,2,7,1] => [8,7,4,6,3,2,1,5] => [1,1,2,1,1,2]
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [8,4,3,5,6,2,7,1] => [8,7,5,3,6,2,1,4] => [1,1,1,2,1,2]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [8,7,4,5,6,2,1,3] => [1,1,3,1,2]
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [8,5,6,4,2,3,7,1] => [8,3,7,2,6,4,1,5] => [1,2,2,1,2]
[.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,2,3,7,1] => [8,3,7,6,4,2,1,5] => [1,2,1,1,1,2]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [8,6,5,3,2,4,7,1] => [8,4,2,7,3,5,1,6] => [1,1,2,2,2]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [8,6,4,3,2,5,7,1] => [8,5,2,3,7,4,1,6] => [1,1,3,1,2]
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [8,6,3,4,2,5,7,1] => [8,5,4,2,7,3,1,6] => [1,1,1,2,1,2]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [8,3,5,2,7,4,1,6] => [1,2,2,1,2]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [8,3,4,5,7,2,1,6] => [1,4,1,2]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [8,6,2,3,4,7,1,5] => [1,1,4,2]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [8,6,4,2,3,7,1,5] => [1,1,1,3,2]
[.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [8,4,3,5,2,6,7,1] => [8,6,5,3,2,7,1,4] => [1,1,1,1,2,2]
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [8,6,4,5,2,7,1,3] => [1,1,2,2,2]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [8,4,5,2,3,6,7,1] => [8,3,6,5,2,7,1,4] => [1,2,1,2,2]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [8,5,4,2,6,7,1,3] => [1,1,1,3,2]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [8,4,2,3,5,6,7,1] => [8,3,5,2,6,7,1,4] => [1,2,3,2]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [8,4,2,5,6,7,1,3] => [1,1,4,2]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [8,3,4,5,6,7,1,2] => [1,5,2]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [8,7,2,3,4,5,6,1] => [1,1,5,1]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [8,7,2,3,4,6,5,1] => [1,1,4,1,1]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [8,7,2,3,6,5,4,1] => [1,1,3,1,1,1]
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [8,7,2,3,5,6,4,1] => [1,1,4,1,1]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [6,7,4,5,3,2,8,1] => [8,7,2,5,3,6,4,1] => [1,1,2,2,1,1]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [7,4,5,6,3,2,8,1] => [8,7,2,5,6,3,4,1] => [1,1,3,2,1]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [8,7,2,6,4,5,3,1] => [1,1,2,2,1,1]
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [5,6,4,7,3,2,8,1] => [8,7,2,6,5,4,3,1] => [1,1,2,1,1,1,1]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [6,4,5,7,3,2,8,1] => [8,7,2,5,6,4,3,1] => [1,1,3,1,1,1]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [8,7,2,4,5,6,3,1] => [1,1,4,1,1]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [8,7,4,2,6,3,5,1] => [1,1,1,2,2,1]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [8,7,4,2,6,5,3,1] => [1,1,1,2,1,1,1]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [7,6,4,3,5,2,8,1] => [8,7,5,3,2,4,6,1] => [1,1,1,1,3,1]
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [6,7,4,3,5,2,8,1] => [8,7,5,3,2,6,4,1] => [1,1,1,1,2,1,1]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [8,7,6,3,4,2,5,1] => [1,1,1,2,2,1]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [8,7,6,5,3,2,4,1] => [1,1,1,1,1,2,1]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [7,5,3,4,6,2,8,1] => [8,7,4,6,3,2,5,1] => [1,1,2,1,2,1]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [7,3,4,5,6,2,8,1] => [8,7,4,5,6,2,3,1] => [1,1,3,2,1]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [8,7,6,3,4,5,2,1] => [1,1,1,3,1,1]
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [5,6,4,3,7,2,8,1] => [8,7,6,3,5,4,2,1] => [1,1,1,2,1,1,1]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [8,7,6,5,3,4,2,1] => [1,1,1,1,2,1,1]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [8,7,6,4,5,3,2,1] => [1,1,1,2,1,1,1]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [8,7,4,6,3,5,2,1] => [1,1,2,2,1,1]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [8,7,4,6,5,3,2,1] => [1,1,2,1,1,1,1]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [8,7,5,3,6,4,2,1] => [1,1,1,2,1,1,1]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [6,3,4,5,7,2,8,1] => [8,7,4,5,6,3,2,1] => [1,1,3,1,1,1]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [8,7,5,3,4,6,2,1] => [1,1,1,3,1,1]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [8,7,5,4,3,6,2,1] => [1,1,1,1,2,1,1]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [5,3,4,6,7,2,8,1] => [8,7,4,5,3,6,2,1] => [1,1,2,2,1,1]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [8,7,4,3,5,6,2,1] => [1,1,1,3,1,1]
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [8,7,3,4,5,6,2,1] => [1,1,4,1,1]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [8,3,7,2,4,5,6,1] => [1,2,4,1]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [8,3,7,2,4,6,5,1] => [1,2,3,1,1]
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,2,3,8,1] => [8,3,7,2,6,4,5,1] => [1,2,2,2,1]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,2,3,8,1] => [8,3,7,2,6,5,4,1] => [1,2,2,1,1,1]
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,2,3,8,1] => [8,3,7,5,2,4,6,1] => [1,2,1,3,1]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [8,3,7,5,2,6,4,1] => [1,2,1,2,1,1]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,2,3,8,1] => [8,3,7,6,4,5,2,1] => [1,2,1,2,1,1]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [5,6,4,7,2,3,8,1] => [8,3,7,6,5,4,2,1] => [1,2,1,1,1,1,1]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [8,3,7,5,6,4,2,1] => [1,2,2,1,1,1]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [8,3,7,5,4,6,2,1] => [1,2,1,2,1,1]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [8,3,7,4,5,6,2,1] => [1,2,3,1,1]
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [7,6,5,3,2,4,8,1] => [8,4,2,7,3,5,6,1] => [1,1,2,3,1]
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [7,5,6,3,2,4,8,1] => [8,4,2,7,6,3,5,1] => [1,1,2,1,2,1]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [6,5,7,3,2,4,8,1] => [8,4,2,7,6,5,3,1] => [1,1,2,1,1,1,1]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [8,3,4,7,2,5,6,1] => [1,3,3,1]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [7,5,6,2,3,4,8,1] => [8,3,4,7,6,2,5,1] => [1,3,1,2,1]
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [8,3,4,7,5,6,2,1] => [1,3,2,1,1]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [7,6,4,3,2,5,8,1] => [8,5,2,3,7,4,6,1] => [1,1,3,2,1]
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [7,6,3,4,2,5,8,1] => [8,5,4,2,7,3,6,1] => [1,1,1,2,2,1]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [7,6,4,2,3,5,8,1] => [8,3,5,2,7,4,6,1] => [1,2,2,2,1]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [8,4,2,5,7,3,6,1] => [1,1,3,2,1]
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [8,4,2,5,7,6,3,1] => [1,1,3,1,1,1]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [7,6,2,3,4,5,8,1] => [8,3,4,5,7,2,6,1] => [1,4,2,1]
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [8,3,4,5,7,6,2,1] => [1,4,1,1,1]
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [7,4,5,3,2,6,8,1] => [8,6,2,5,3,7,4,1] => [1,1,2,2,1,1]
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [7,5,3,4,2,6,8,1] => [8,6,4,2,3,7,5,1] => [1,1,1,3,1,1]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [7,3,4,5,2,6,8,1] => [8,6,4,5,2,7,3,1] => [1,1,2,2,1,1]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [8,3,6,2,4,7,5,1] => [1,2,3,1,1]
[.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [8,3,6,5,2,7,4,1] => [1,2,1,2,1,1]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [8,4,2,6,3,7,5,1] => [1,1,2,2,1,1]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [7,4,3,2,5,6,8,1] => [8,5,2,3,6,7,4,1] => [1,1,4,1,1]
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [7,3,4,2,5,6,8,1] => [8,5,4,2,6,7,3,1] => [1,1,1,3,1,1]
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [7,4,2,3,5,6,8,1] => [8,3,5,2,6,7,4,1] => [1,2,3,1,1]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [8,4,2,5,6,7,3,1] => [1,1,4,1,1]
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [8,3,4,5,6,7,2,1] => [1,5,1,1]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [8,6,2,3,4,5,7,1] => [1,1,5,1]
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [6,4,5,3,2,7,8,1] => [8,6,2,5,3,4,7,1] => [1,1,2,3,1]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [8,6,2,5,4,3,7,1] => [1,1,2,1,2,1]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [8,6,2,4,5,3,7,1] => [1,1,3,2,1]
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [6,5,3,4,2,7,8,1] => [8,6,4,2,3,5,7,1] => [1,1,1,4,1]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [5,6,3,4,2,7,8,1] => [8,6,4,2,5,3,7,1] => [1,1,1,2,2,1]
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [6,4,3,5,2,7,8,1] => [8,6,5,3,2,4,7,1] => [1,1,1,1,3,1]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [8,6,4,5,2,3,7,1] => [1,1,2,3,1]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [8,6,5,3,4,2,7,1] => [1,1,1,2,2,1]
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [4,5,3,6,2,7,8,1] => [8,6,5,4,3,2,7,1] => [1,1,1,1,1,2,1]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [5,3,4,6,2,7,8,1] => [8,6,4,5,3,2,7,1] => [1,1,2,1,2,1]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [8,6,4,3,5,2,7,1] => [1,1,1,2,2,1]
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [8,6,3,4,5,2,7,1] => [1,1,3,2,1]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [6,5,4,2,3,7,8,1] => [8,3,6,2,4,5,7,1] => [1,2,4,1]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [5,4,6,2,3,7,8,1] => [8,3,6,5,4,2,7,1] => [1,2,1,1,2,1]
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [4,5,6,2,3,7,8,1] => [8,3,6,4,5,2,7,1] => [1,2,2,2,1]
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [6,5,3,2,4,7,8,1] => [8,4,2,6,3,5,7,1] => [1,1,2,3,1]
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [5,6,2,3,4,7,8,1] => [8,3,4,6,5,2,7,1] => [1,3,1,2,1]
[.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [6,3,2,4,5,7,8,1] => [8,4,2,5,6,3,7,1] => [1,1,3,2,1]
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [8,3,4,5,6,2,7,1] => [1,4,2,1]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [8,5,2,3,4,6,7,1] => [1,1,5,1]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [8,5,2,4,3,6,7,1] => [1,1,2,3,1]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [8,5,4,2,3,6,7,1] => [1,1,1,4,1]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [8,5,4,3,2,6,7,1] => [1,1,1,1,3,1]
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [8,5,3,4,2,6,7,1] => [1,1,2,3,1]
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [4,5,2,3,6,7,8,1] => [8,3,5,4,2,6,7,1] => [1,2,1,3,1]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [5,3,2,4,6,7,8,1] => [8,4,2,5,3,6,7,1] => [1,1,2,3,1]
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [8,3,4,5,2,6,7,1] => [1,3,3,1]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [8,4,2,3,5,6,7,1] => [1,1,5,1]
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [8,4,3,2,5,6,7,1] => [1,1,1,4,1]
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [8,3,4,2,5,6,7,1] => [1,2,4,1]
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [8,3,2,4,5,6,7,1] => [1,1,5,1]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1] => [1,6,1]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [2,8,1,3,4,5,6,7] => [2,6]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [2,8,1,3,4,5,7,6] => [2,5,1]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [2,8,1,3,4,7,5,6] => [2,4,2]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,3,1,2] => [2,8,1,3,4,7,6,5] => [2,4,1,1]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [2,8,1,3,4,6,7,5] => [2,5,1]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [2,8,1,3,6,4,5,7] => [2,3,3]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [2,8,1,3,6,4,7,5] => [2,3,2,1]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [2,8,1,3,7,5,4,6] => [2,3,1,2]
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,3,1,2] => [2,8,1,3,6,7,4,5] => [2,4,2]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,3,1,2] => [2,8,1,3,7,5,6,4] => [2,3,2,1]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,3,1,2] => [2,8,1,3,7,6,5,4] => [2,3,1,1,1]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,3,1,2] => [2,8,1,3,6,7,5,4] => [2,4,1,1]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [2,8,1,3,6,5,7,4] => [2,3,2,1]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [2,8,1,3,5,6,7,4] => [2,5,1]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [2,8,1,5,3,4,6,7] => [2,2,4]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [2,8,1,5,3,4,7,6] => [2,2,3,1]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [2,8,1,5,3,7,4,6] => [2,2,2,2]
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,3,1,2] => [2,8,1,5,3,7,6,4] => [2,2,2,1,1]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,3,1,2] => [2,8,1,5,3,6,7,4] => [2,2,3,1]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [2,8,1,6,4,3,5,7] => [2,2,1,3]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,3,1,2] => [2,8,1,5,6,3,4,7] => [2,3,3]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,3,1,2] => [2,8,1,5,6,3,7,4] => [2,3,2,1]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,3,1,2] => [2,8,1,5,7,4,3,6] => [2,3,1,2]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,3,1,2] => [2,8,1,7,4,5,6,3] => [2,2,3,1]
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [6,7,5,4,8,3,1,2] => [2,8,1,7,4,6,5,3] => [2,2,2,1,1]
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,3,1,2] => [2,8,1,7,6,4,5,3] => [2,2,1,2,1]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,3,1,2] => [2,8,1,7,6,5,4,3] => [2,2,1,1,1,1]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,3,1,2] => [2,8,1,5,7,4,6,3] => [2,3,2,1]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,3,1,2] => [2,8,1,5,7,6,4,3] => [2,3,1,1,1]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,3,1,2] => [2,8,1,6,4,7,5,3] => [2,2,2,1,1]
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [7,4,5,6,8,3,1,2] => [2,8,1,5,6,7,4,3] => [2,4,1,1]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,3,1,2] => [2,8,1,6,4,5,7,3] => [2,2,3,1]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,3,1,2] => [2,8,1,6,5,4,7,3] => [2,2,1,2,1]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,3,1,2] => [2,8,1,5,4,6,7,3] => [2,2,3,1]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [2,8,1,4,5,6,7,3] => [2,5,1]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [2,8,4,1,3,5,6,7] => [2,1,5]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [2,8,4,1,3,5,7,6] => [2,1,4,1]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,4,1,2] => [2,8,4,1,3,7,5,6] => [2,1,3,2]
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,4,1,2] => [2,8,4,1,3,7,6,5] => [2,1,3,1,1]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [2,8,4,1,3,6,7,5] => [2,1,4,1]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [2,8,4,1,6,3,5,7] => [2,1,2,3]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [2,8,4,1,6,3,7,5] => [2,1,2,2,1]
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,4,1,2] => [2,8,4,1,7,5,3,6] => [2,1,2,1,2]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [2,8,4,1,6,7,3,5] => [2,1,3,2]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [2,8,4,1,7,5,6,3] => [2,1,2,2,1]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [2,8,4,1,7,6,5,3] => [2,1,2,1,1,1]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [2,8,4,1,6,7,5,3] => [2,1,3,1,1]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [2,8,4,1,6,5,7,3] => [2,1,2,2,1]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [2,8,4,1,5,6,7,3] => [2,1,4,1]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,3,5,1,2] => [2,8,5,3,1,4,6,7] => [2,1,1,4]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,3,5,1,2] => [2,8,5,3,1,4,7,6] => [2,1,1,3,1]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,3,5,1,2] => [2,8,5,3,1,7,4,6] => [2,1,1,2,2]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,3,5,1,2] => [2,8,5,3,1,7,6,4] => [2,1,1,2,1,1]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [2,8,4,5,1,3,6,7] => [2,2,4]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [2,8,4,5,1,7,3,6] => [2,2,2,2]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [7,6,8,3,4,5,1,2] => [2,8,4,5,1,7,6,3] => [2,2,2,1,1]
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [6,7,8,3,4,5,1,2] => [2,8,4,5,1,6,7,3] => [2,2,3,1]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [8,7,5,4,3,6,1,2] => [2,8,6,3,4,1,5,7] => [2,1,2,3]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [2,8,6,3,4,1,7,5] => [2,1,2,2,1]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [8,7,4,5,3,6,1,2] => [2,8,6,5,3,1,4,7] => [2,1,1,1,3]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [2,8,6,5,3,1,7,4] => [2,1,1,1,2,1]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [8,7,5,3,4,6,1,2] => [2,8,4,6,3,1,5,7] => [2,2,1,3]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [2,8,4,6,3,1,7,5] => [2,2,1,2,1]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [8,7,4,3,5,6,1,2] => [2,8,5,3,6,1,4,7] => [2,1,2,3]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [2,8,5,3,6,1,7,4] => [2,1,2,2,1]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [8,7,3,4,5,6,1,2] => [2,8,4,5,6,1,3,7] => [2,3,3]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [2,8,4,5,6,1,7,3] => [2,3,2,1]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,3,7,1,2] => [2,8,7,3,4,5,1,6] => [2,1,3,2]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,3,7,1,2] => [2,8,7,6,4,3,1,5] => [2,1,1,1,1,2]
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [8,5,6,3,4,7,1,2] => [2,8,4,7,6,3,1,5] => [2,2,1,1,2]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [8,6,4,3,5,7,1,2] => [2,8,5,3,7,4,1,6] => [2,1,2,1,2]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [8,5,4,3,6,7,1,2] => [2,8,6,3,4,7,1,5] => [2,1,3,2]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [8,5,3,4,6,7,1,2] => [2,8,4,6,3,7,1,5] => [2,2,2,2]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [2,8,5,3,6,7,1,4] => [2,1,3,2]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [2,8,4,5,6,7,1,3] => [2,4,2]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [2,8,7,3,4,5,6,1] => [2,1,4,1]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,3,8,1,2] => [2,8,7,3,4,6,5,1] => [2,1,3,1,1]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [2,8,7,3,6,5,4,1] => [2,1,2,1,1,1]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [5,6,7,4,3,8,1,2] => [2,8,7,3,5,6,4,1] => [2,1,3,1,1]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,3,8,1,2] => [2,8,7,5,3,4,6,1] => [2,1,1,3,1]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [2,8,7,5,3,6,4,1] => [2,1,1,2,1,1]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,3,8,1,2] => [2,8,7,6,4,3,5,1] => [2,1,1,1,2,1]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [7,4,5,6,3,8,1,2] => [2,8,7,5,6,3,4,1] => [2,1,2,2,1]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [2,8,7,6,4,5,3,1] => [2,1,1,2,1,1]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [2,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [6,4,5,7,3,8,1,2] => [2,8,7,5,6,4,3,1] => [2,1,2,1,1,1]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [5,4,6,7,3,8,1,2] => [2,8,7,5,4,6,3,1] => [2,1,1,2,1,1]
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [4,5,6,7,3,8,1,2] => [2,8,7,4,5,6,3,1] => [2,1,3,1,1]
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [7,6,5,3,4,8,1,2] => [2,8,4,7,3,5,6,1] => [2,2,3,1]
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [6,7,5,3,4,8,1,2] => [2,8,4,7,3,6,5,1] => [2,2,2,1,1]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [7,5,6,3,4,8,1,2] => [2,8,4,7,6,3,5,1] => [2,2,1,2,1]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [6,5,7,3,4,8,1,2] => [2,8,4,7,6,5,3,1] => [2,2,1,1,1,1]
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [5,6,7,3,4,8,1,2] => [2,8,4,7,5,6,3,1] => [2,2,2,1,1]
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [7,6,4,3,5,8,1,2] => [2,8,5,3,7,4,6,1] => [2,1,2,2,1]
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [6,7,4,3,5,8,1,2] => [2,8,5,3,7,6,4,1] => [2,1,2,1,1,1]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [7,6,3,4,5,8,1,2] => [2,8,4,5,7,3,6,1] => [2,3,2,1]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [7,5,4,3,6,8,1,2] => [2,8,6,3,4,7,5,1] => [2,1,3,1,1]
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [7,4,5,3,6,8,1,2] => [2,8,6,5,3,7,4,1] => [2,1,1,2,1,1]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [7,5,3,4,6,8,1,2] => [2,8,4,6,3,7,5,1] => [2,2,2,1,1]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [2,8,4,5,6,7,3,1] => [2,4,1,1]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [2,8,6,3,4,5,7,1] => [2,1,4,1]
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [5,6,4,3,7,8,1,2] => [2,8,6,3,5,4,7,1] => [2,1,2,2,1]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [2,8,6,5,4,3,7,1] => [2,1,1,1,2,1]
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [4,5,6,3,7,8,1,2] => [2,8,6,4,5,3,7,1] => [2,1,2,2,1]
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [6,5,3,4,7,8,1,2] => [2,8,4,6,3,5,7,1] => [2,2,3,1]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [2,8,4,6,5,3,7,1] => [2,2,1,2,1]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [2,8,5,3,6,4,7,1] => [2,1,2,2,1]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [2,8,4,5,6,3,7,1] => [2,3,2,1]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [2,8,5,3,4,6,7,1] => [2,1,4,1]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [2,8,5,4,3,6,7,1] => [2,1,1,3,1]
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [5,3,4,6,7,8,1,2] => [2,8,4,5,3,6,7,1] => [2,2,3,1]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [2,8,4,3,5,6,7,1] => [2,1,4,1]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [2,8,3,4,5,6,7,1] => [2,5,1]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [3,1,8,2,4,5,6,7] => [1,2,5]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [3,1,8,2,4,5,7,6] => [1,2,4,1]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [8,6,7,5,4,2,1,3] => [3,1,8,2,4,7,5,6] => [1,2,3,2]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [3,1,8,2,4,7,6,5] => [1,2,3,1,1]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,2,1,3] => [3,1,8,2,4,6,7,5] => [1,2,4,1]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [8,7,5,6,4,2,1,3] => [3,1,8,2,6,4,5,7] => [1,2,2,3]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [3,1,8,2,6,4,7,5] => [1,2,2,2,1]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,2,1,3] => [3,1,8,2,7,5,4,6] => [1,2,2,1,2]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,2,1,3] => [3,1,8,2,6,7,4,5] => [1,2,3,2]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [3,1,8,2,7,5,6,4] => [1,2,2,2,1]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,2,1,3] => [3,1,8,2,7,6,5,4] => [1,2,2,1,1,1]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,2,1,3] => [3,1,8,2,6,7,5,4] => [1,2,3,1,1]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,2,1,3] => [3,1,8,2,6,5,7,4] => [1,2,2,2,1]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [3,1,8,2,5,6,7,4] => [1,2,4,1]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,2,1,3] => [3,1,8,5,2,4,6,7] => [1,2,1,4]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [7,8,6,4,5,2,1,3] => [3,1,8,5,2,4,7,6] => [1,2,1,3,1]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,2,1,3] => [3,1,8,5,2,7,4,6] => [1,2,1,2,2]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [7,6,8,4,5,2,1,3] => [3,1,8,5,2,7,6,4] => [1,2,1,2,1,1]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,2,1,3] => [3,1,8,5,2,6,7,4] => [1,2,1,3,1]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,2,1,3] => [3,1,8,6,4,2,5,7] => [1,2,1,1,3]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,2,1,3] => [3,1,8,6,4,2,7,5] => [1,2,1,1,2,1]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,2,1,3] => [3,1,8,5,6,2,4,7] => [1,2,2,3]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,2,1,3] => [3,1,8,5,6,2,7,4] => [1,2,2,2,1]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,2,1,3] => [3,1,8,5,7,4,2,6] => [1,2,2,1,2]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,2,1,3] => [3,1,8,6,4,7,2,5] => [1,2,1,2,2]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,2,1,3] => [3,1,8,5,6,7,2,4] => [1,2,3,2]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,2,1,3] => [3,1,8,7,4,6,5,2] => [1,2,1,2,1,1]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,2,1,3] => [3,1,8,7,6,4,5,2] => [1,2,1,1,2,1]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [3,1,8,7,6,5,4,2] => [1,2,1,1,1,1,1]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,2,1,3] => [3,1,8,7,5,6,4,2] => [1,2,1,2,1,1]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,2,1,3] => [3,1,8,5,7,4,6,2] => [1,2,2,2,1]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,2,1,3] => [3,1,8,5,7,6,4,2] => [1,2,2,1,1,1]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,2,1,3] => [3,1,8,6,4,7,5,2] => [1,2,1,2,1,1]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,2,1,3] => [3,1,8,5,6,7,4,2] => [1,2,3,1,1]
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,2,1,3] => [3,1,8,6,4,5,7,2] => [1,2,1,3,1]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,2,1,3] => [3,1,8,5,4,6,7,2] => [1,2,1,3,1]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [3,1,8,4,5,6,7,2] => [1,2,4,1]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [2,3,8,1,4,5,6,7] => [3,5]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [2,3,8,1,4,5,7,6] => [3,4,1]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,1,2,3] => [2,3,8,1,4,7,6,5] => [3,3,1,1]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [2,3,8,1,4,6,7,5] => [3,4,1]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,1,2,3] => [2,3,8,1,6,4,7,5] => [3,2,2,1]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [2,3,8,1,6,7,4,5] => [3,3,2]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,1,2,3] => [2,3,8,1,7,5,6,4] => [3,2,2,1]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,1,2,3] => [2,3,8,1,7,6,5,4] => [3,2,1,1,1]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,1,2,3] => [2,3,8,1,6,7,5,4] => [3,3,1,1]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,1,2,3] => [2,3,8,1,6,5,7,4] => [3,2,2,1]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [2,3,8,1,5,6,7,4] => [3,4,1]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => [2,3,8,5,1,4,6,7] => [3,1,4]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [7,8,6,4,5,1,2,3] => [2,3,8,5,1,4,7,6] => [3,1,3,1]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [2,3,8,5,1,7,4,6] => [3,1,2,2]
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,1,2,3] => [2,3,8,5,1,6,7,4] => [3,1,3,1]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,1,2,3] => [2,3,8,6,4,1,5,7] => [3,1,1,3]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,1,2,3] => [2,3,8,6,4,1,7,5] => [3,1,1,2,1]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [2,3,8,5,6,1,4,7] => [3,2,3]
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [2,3,8,5,6,1,7,4] => [3,2,2,1]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,1,2,3] => [2,3,8,7,4,5,1,6] => [3,1,2,2]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [8,5,6,4,7,1,2,3] => [2,3,8,7,6,4,1,5] => [3,1,1,1,2]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,1,2,3] => [2,3,8,5,7,4,1,6] => [3,2,1,2]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,1,2,3] => [2,3,8,6,4,7,1,5] => [3,1,2,2]
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [2,3,8,5,6,7,1,4] => [3,3,2]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [2,3,8,7,4,5,6,1] => [3,1,3,1]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,1,2,3] => [2,3,8,7,4,6,5,1] => [3,1,2,1,1]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,1,2,3] => [2,3,8,7,6,4,5,1] => [3,1,1,2,1]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,1,2,3] => [2,3,8,7,6,5,4,1] => [3,1,1,1,1,1]
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,1,2,3] => [2,3,8,7,5,6,4,1] => [3,1,2,1,1]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,1,2,3] => [2,3,8,5,7,4,6,1] => [3,2,2,1]
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [2,3,8,5,7,6,4,1] => [3,2,1,1,1]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [2,3,8,6,4,7,5,1] => [3,1,2,1,1]
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,1,2,3] => [2,3,8,5,6,7,4,1] => [3,3,1,1]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [2,3,8,6,4,5,7,1] => [3,1,3,1]
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,1,2,3] => [2,3,8,6,5,4,7,1] => [3,1,1,2,1]
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [6,4,5,7,8,1,2,3] => [2,3,8,5,6,4,7,1] => [3,2,2,1]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,3,8,5,4,6,7,1] => [3,1,3,1]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [2,3,8,4,5,6,7,1] => [3,4,1]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [4,1,2,8,3,5,6,7] => [1,3,4]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,2,1,4] => [4,1,2,8,3,5,7,6] => [1,3,3,1]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [4,1,2,8,3,7,5,6] => [1,3,2,2]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,2,1,4] => [4,1,2,8,3,7,6,5] => [1,3,2,1,1]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,2,1,4] => [4,1,2,8,3,6,7,5] => [1,3,3,1]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [4,1,2,8,6,3,5,7] => [1,3,1,3]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [4,1,2,8,6,3,7,5] => [1,3,1,2,1]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [4,1,2,8,7,5,3,6] => [1,3,1,1,2]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [4,1,2,8,6,7,3,5] => [1,3,2,2]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [4,1,2,8,7,5,6,3] => [1,3,1,2,1]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [4,1,2,8,7,6,5,3] => [1,3,1,1,1,1]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [4,1,2,8,6,5,7,3] => [1,3,1,2,1]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [4,1,2,8,5,6,7,3] => [1,3,3,1]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [4,3,1,8,2,5,6,7] => [1,1,2,4]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,3,1,4] => [4,3,1,8,2,5,7,6] => [1,1,2,3,1]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [4,3,1,8,2,7,5,6] => [1,1,2,2,2]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,3,1,4] => [4,3,1,8,2,7,6,5] => [1,1,2,2,1,1]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [6,7,8,5,2,3,1,4] => [4,3,1,8,2,6,7,5] => [1,1,2,3,1]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,3,1,4] => [4,3,1,8,6,2,5,7] => [1,1,2,1,3]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [4,3,1,8,6,2,7,5] => [1,1,2,1,2,1]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,3,1,4] => [4,3,1,8,7,5,2,6] => [1,1,2,1,1,2]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [8,5,6,7,2,3,1,4] => [4,3,1,8,6,7,2,5] => [1,1,2,2,2]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [4,3,1,8,7,5,6,2] => [1,1,2,1,2,1]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [4,3,1,8,7,6,5,2] => [1,1,2,1,1,1,1]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [4,3,1,8,6,7,5,2] => [1,1,2,2,1,1]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [6,5,7,8,2,3,1,4] => [4,3,1,8,6,5,7,2] => [1,1,2,1,2,1]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [4,3,1,8,5,6,7,2] => [1,1,2,3,1]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [2,4,1,8,3,5,6,7] => [2,2,4]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,1,2,4] => [2,4,1,8,3,5,7,6] => [2,2,3,1]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,1,2,4] => [2,4,1,8,3,7,5,6] => [2,2,2,2]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,1,2,4] => [2,4,1,8,3,6,7,5] => [2,2,3,1]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [2,4,1,8,6,3,5,7] => [2,2,1,3]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [2,4,1,8,6,3,7,5] => [2,2,1,2,1]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,1,2,4] => [2,4,1,8,7,5,3,6] => [2,2,1,1,2]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,1,2,4] => [2,4,1,8,6,7,3,5] => [2,2,2,2]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,1,2,4] => [2,4,1,8,7,5,6,3] => [2,2,1,2,1]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [2,4,1,8,7,6,5,3] => [2,2,1,1,1,1]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [2,4,1,8,6,7,5,3] => [2,2,2,1,1]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [2,4,1,8,6,5,7,3] => [2,2,1,2,1]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [2,4,1,8,5,6,7,3] => [2,2,3,1]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [3,1,4,8,2,5,6,7] => [1,3,4]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [3,1,4,8,2,5,7,6] => [1,3,3,1]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,1,3,4] => [3,1,4,8,2,7,5,6] => [1,3,2,2]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,1,3,4] => [3,1,4,8,2,7,6,5] => [1,3,2,1,1]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [3,1,4,8,2,6,7,5] => [1,3,3,1]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,1,3,4] => [3,1,4,8,6,2,5,7] => [1,3,1,3]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [3,1,4,8,6,2,7,5] => [1,3,1,2,1]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [8,5,6,7,2,1,3,4] => [3,1,4,8,6,7,2,5] => [1,3,2,2]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,1,3,4] => [3,1,4,8,7,5,6,2] => [1,3,1,2,1]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [3,1,4,8,7,6,5,2] => [1,3,1,1,1,1]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [3,1,4,8,6,5,7,2] => [1,3,1,2,1]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [3,1,4,8,5,6,7,2] => [1,3,3,1]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [2,3,4,8,1,5,6,7] => [4,4]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [2,3,4,8,1,5,7,6] => [4,3,1]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [2,3,4,8,1,7,5,6] => [4,2,2]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [2,3,4,8,1,7,6,5] => [4,2,1,1]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [2,3,4,8,1,6,7,5] => [4,3,1]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [2,3,4,8,6,1,5,7] => [4,1,3]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [2,3,4,8,6,1,7,5] => [4,1,2,1]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [2,3,4,8,7,5,1,6] => [4,1,1,2]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [2,3,4,8,6,7,1,5] => [4,2,2]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [2,3,4,8,7,5,6,1] => [4,1,2,1]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [2,3,4,8,7,6,5,1] => [4,1,1,1,1]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [2,3,4,8,6,7,5,1] => [4,2,1,1]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [2,3,4,8,6,5,7,1] => [4,1,2,1]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [2,3,4,8,5,6,7,1] => [4,3,1]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [5,1,2,3,8,4,6,7] => [1,4,3]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [5,1,2,3,8,4,7,6] => [1,4,2,1]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [8,6,7,4,3,2,1,5] => [5,1,2,3,8,7,4,6] => [1,4,1,2]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [5,1,2,3,8,7,6,4] => [1,4,1,1,1]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [5,1,2,3,8,6,7,4] => [1,4,2,1]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [5,1,4,2,8,3,6,7] => [1,2,2,3]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [7,8,6,3,4,2,1,5] => [5,1,4,2,8,3,7,6] => [1,2,2,2,1]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [6,7,8,3,4,2,1,5] => [5,1,4,2,8,6,7,3] => [1,2,2,2,1]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [5,3,1,2,8,4,6,7] => [1,1,3,3]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [7,8,6,4,2,3,1,5] => [5,3,1,2,8,4,7,6] => [1,1,3,2,1]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [8,6,7,4,2,3,1,5] => [5,3,1,2,8,7,4,6] => [1,1,3,1,2]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [5,3,1,2,8,6,7,4] => [1,1,3,2,1]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [5,4,2,1,8,3,6,7] => [1,1,1,2,3]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [8,6,7,3,2,4,1,5] => [5,4,2,1,8,7,3,6] => [1,1,1,2,1,2]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [7,6,8,3,2,4,1,5] => [5,4,2,1,8,7,6,3] => [1,1,1,2,1,1,1]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [6,7,8,3,2,4,1,5] => [5,4,2,1,8,6,7,3] => [1,1,1,2,2,1]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [5,3,4,1,8,2,6,7] => [1,2,2,3]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [7,8,6,2,3,4,1,5] => [5,3,4,1,8,2,7,6] => [1,2,2,2,1]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [7,6,8,2,3,4,1,5] => [5,3,4,1,8,7,6,2] => [1,2,2,1,1,1]
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [6,7,8,2,3,4,1,5] => [5,3,4,1,8,6,7,2] => [1,2,2,2,1]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [2,5,1,3,8,4,6,7] => [2,3,3]
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [7,8,6,4,3,1,2,5] => [2,5,1,3,8,4,7,6] => [2,3,2,1]
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [8,6,7,4,3,1,2,5] => [2,5,1,3,8,7,4,6] => [2,3,1,2]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,3,1,2,5] => [2,5,1,3,8,7,6,4] => [2,3,1,1,1]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [2,5,1,3,8,6,7,4] => [2,3,2,1]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [2,5,4,1,8,3,6,7] => [2,1,2,3]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [7,8,6,3,4,1,2,5] => [2,5,4,1,8,3,7,6] => [2,1,2,2,1]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [2,5,4,1,8,7,3,6] => [2,1,2,1,2]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [7,6,8,3,4,1,2,5] => [2,5,4,1,8,7,6,3] => [2,1,2,1,1,1]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [2,5,4,1,8,6,7,3] => [2,1,2,2,1]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [3,1,5,2,8,4,6,7] => [1,2,2,3]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,2,1,3,5] => [3,1,5,2,8,4,7,6] => [1,2,2,2,1]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [3,1,5,2,8,7,4,6] => [1,2,2,1,2]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,2,1,3,5] => [3,1,5,2,8,7,6,4] => [1,2,2,1,1,1]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [6,7,8,4,2,1,3,5] => [3,1,5,2,8,6,7,4] => [1,2,2,2,1]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [2,3,5,1,8,4,6,7] => [3,2,3]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [2,3,5,1,8,4,7,6] => [3,2,2,1]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,1,2,3,5] => [2,3,5,1,8,7,4,6] => [3,2,1,2]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,1,2,3,5] => [2,3,5,1,8,7,6,4] => [3,2,1,1,1]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [2,3,5,1,8,6,7,4] => [3,2,2,1]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [4,1,2,5,8,3,6,7] => [1,4,3]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [7,8,6,3,2,1,4,5] => [4,1,2,5,8,3,7,6] => [1,4,2,1]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [8,6,7,3,2,1,4,5] => [4,1,2,5,8,7,3,6] => [1,4,1,2]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [7,6,8,3,2,1,4,5] => [4,1,2,5,8,7,6,3] => [1,4,1,1,1]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [4,1,2,5,8,6,7,3] => [1,4,2,1]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [4,3,1,5,8,2,6,7] => [1,1,3,3]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [7,8,6,2,3,1,4,5] => [4,3,1,5,8,2,7,6] => [1,1,3,2,1]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [7,6,8,2,3,1,4,5] => [4,3,1,5,8,7,6,2] => [1,1,3,1,1,1]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [4,3,1,5,8,6,7,2] => [1,1,3,2,1]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [2,4,1,5,8,3,6,7] => [2,3,3]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [7,8,6,3,1,2,4,5] => [2,4,1,5,8,3,7,6] => [2,3,2,1]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [8,6,7,3,1,2,4,5] => [2,4,1,5,8,7,3,6] => [2,3,1,2]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [7,6,8,3,1,2,4,5] => [2,4,1,5,8,7,6,3] => [2,3,1,1,1]
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [6,7,8,3,1,2,4,5] => [2,4,1,5,8,6,7,3] => [2,3,2,1]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [3,1,4,5,8,2,6,7] => [1,4,3]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [7,8,6,2,1,3,4,5] => [3,1,4,5,8,2,7,6] => [1,4,2,1]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [3,1,4,5,8,7,2,6] => [1,4,1,2]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [3,1,4,5,8,6,7,2] => [1,4,2,1]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [2,3,4,5,8,1,6,7] => [5,3]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [2,3,4,5,8,1,7,6] => [5,2,1]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [2,3,4,5,8,7,1,6] => [5,1,2]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [2,3,4,5,8,7,6,1] => [5,1,1,1]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [2,3,4,5,8,6,7,1] => [5,2,1]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [6,1,2,3,4,8,5,7] => [1,5,2]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [6,1,2,3,4,8,7,5] => [1,5,1,1]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [8,7,4,5,3,2,1,6] => [6,1,2,5,3,8,4,7] => [1,3,2,2]
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [7,8,4,5,3,2,1,6] => [6,1,2,5,3,8,7,4] => [1,3,2,1,1]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [6,1,4,2,3,8,5,7] => [1,2,3,2]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [8,7,4,3,5,2,1,6] => [6,1,5,3,2,8,4,7] => [1,2,1,2,2]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [8,7,3,4,5,2,1,6] => [6,1,4,5,2,8,3,7] => [1,3,2,2]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [7,8,3,4,5,2,1,6] => [6,1,4,5,2,8,7,3] => [1,3,2,1,1]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,2,3,1,6] => [6,3,1,2,4,8,5,7] => [1,1,4,2]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [6,3,1,5,2,8,4,7] => [1,1,2,2,2]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [7,8,4,5,2,3,1,6] => [6,3,1,5,2,8,7,4] => [1,1,2,2,1,1]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [6,4,2,1,3,8,5,7] => [1,1,1,3,2]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [7,8,5,3,2,4,1,6] => [6,4,2,1,3,8,7,5] => [1,1,1,3,1,1]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [8,7,5,2,3,4,1,6] => [6,3,4,1,2,8,5,7] => [1,2,3,2]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [7,8,5,2,3,4,1,6] => [6,3,4,1,2,8,7,5] => [1,2,3,1,1]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [7,8,4,3,2,5,1,6] => [6,5,2,3,1,8,7,4] => [1,1,2,2,1,1]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [8,7,3,4,2,5,1,6] => [6,5,4,2,1,8,3,7] => [1,1,1,1,2,2]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [6,5,4,2,1,8,7,3] => [1,1,1,1,2,1,1]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [8,7,4,2,3,5,1,6] => [6,3,5,2,1,8,4,7] => [1,2,1,2,2]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [7,8,4,2,3,5,1,6] => [6,3,5,2,1,8,7,4] => [1,2,1,2,1,1]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [8,7,3,2,4,5,1,6] => [6,4,2,5,1,8,3,7] => [1,1,2,2,2]
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [7,8,3,2,4,5,1,6] => [6,4,2,5,1,8,7,3] => [1,1,2,2,1,1]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [8,7,2,3,4,5,1,6] => [6,3,4,5,1,8,2,7] => [1,3,2,2]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [2,6,1,3,4,8,5,7] => [2,4,2]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [7,8,5,4,3,1,2,6] => [2,6,1,3,4,8,7,5] => [2,4,1,1]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [8,7,5,3,4,1,2,6] => [2,6,4,1,3,8,5,7] => [2,1,3,2]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [7,8,5,3,4,1,2,6] => [2,6,4,1,3,8,7,5] => [2,1,3,1,1]
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [8,7,4,3,5,1,2,6] => [2,6,5,3,1,8,4,7] => [2,1,1,2,2]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [7,8,4,3,5,1,2,6] => [2,6,5,3,1,8,7,4] => [2,1,1,2,1,1]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [7,8,3,4,5,1,2,6] => [2,6,4,5,1,8,7,3] => [2,2,2,1,1]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,2,1,3,6] => [3,1,6,2,4,8,5,7] => [1,2,3,2]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [3,1,6,2,4,8,7,5] => [1,2,3,1,1]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [7,8,4,5,2,1,3,6] => [3,1,6,5,2,8,7,4] => [1,2,1,2,1,1]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,1,2,3,6] => [2,3,6,1,4,8,5,7] => [3,3,2]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [2,3,6,1,4,8,7,5] => [3,3,1,1]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [8,7,4,5,1,2,3,6] => [2,3,6,5,1,8,4,7] => [3,1,2,2]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [2,3,6,5,1,8,7,4] => [3,1,2,1,1]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [4,1,2,6,3,8,5,7] => [1,3,2,2]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [7,8,5,3,2,1,4,6] => [4,1,2,6,3,8,7,5] => [1,3,2,1,1]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [8,7,5,2,3,1,4,6] => [4,3,1,6,2,8,5,7] => [1,1,2,2,2]
[[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [7,8,5,2,3,1,4,6] => [4,3,1,6,2,8,7,5] => [1,1,2,2,1,1]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [2,4,1,6,3,8,5,7] => [2,2,2,2]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [7,8,5,3,1,2,4,6] => [2,4,1,6,3,8,7,5] => [2,2,2,1,1]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [3,1,4,6,2,8,5,7] => [1,3,2,2]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [3,1,4,6,2,8,7,5] => [1,3,2,1,1]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [2,3,4,6,1,8,5,7] => [4,2,2]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [2,3,4,6,1,8,7,5] => [4,2,1,1]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [5,1,2,3,6,8,4,7] => [1,5,2]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [5,1,2,3,6,8,7,4] => [1,5,1,1]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [8,7,3,4,2,1,5,6] => [5,1,4,2,6,8,3,7] => [1,2,3,2]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [7,8,3,4,2,1,5,6] => [5,1,4,2,6,8,7,3] => [1,2,3,1,1]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [7,8,4,2,3,1,5,6] => [5,3,1,2,6,8,7,4] => [1,1,4,1,1]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [8,7,3,2,4,1,5,6] => [5,4,2,1,6,8,3,7] => [1,1,1,3,2]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [5,4,2,1,6,8,7,3] => [1,1,1,3,1,1]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [8,7,2,3,4,1,5,6] => [5,3,4,1,6,8,2,7] => [1,2,3,2]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [5,3,4,1,6,8,7,2] => [1,2,3,1,1]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [8,7,4,3,1,2,5,6] => [2,5,1,3,6,8,4,7] => [2,4,2]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [7,8,4,3,1,2,5,6] => [2,5,1,3,6,8,7,4] => [2,4,1,1]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [8,7,3,4,1,2,5,6] => [2,5,4,1,6,8,3,7] => [2,1,3,2]
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [2,5,4,1,6,8,7,3] => [2,1,3,1,1]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [3,1,5,2,6,8,4,7] => [1,2,3,2]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [3,1,5,2,6,8,7,4] => [1,2,3,1,1]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [2,3,5,1,6,8,4,7] => [3,3,2]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [4,1,2,5,6,8,3,7] => [1,5,2]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [4,1,2,5,6,8,7,3] => [1,5,1,1]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [4,3,1,5,6,8,7,2] => [1,1,4,1,1]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [3,1,4,5,6,8,2,7] => [1,5,2]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [3,1,4,5,6,8,7,2] => [1,5,1,1]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [2,3,4,5,6,8,1,7] => [6,2]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [2,3,4,5,6,8,7,1] => [6,1,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,8,6] => [1,6,1]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [7,1,2,3,6,4,8,5] => [1,4,2,1]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [8,6,4,5,3,2,1,7] => [7,1,2,5,3,4,8,6] => [1,3,3,1]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [8,5,4,6,3,2,1,7] => [7,1,2,6,4,3,8,5] => [1,3,1,2,1]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [7,1,2,5,6,3,8,4] => [1,4,2,1]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [7,1,4,2,3,5,8,6] => [1,2,4,1]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [8,5,6,3,4,2,1,7] => [7,1,4,2,6,3,8,5] => [1,2,2,2,1]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [8,6,4,3,5,2,1,7] => [7,1,5,3,2,4,8,6] => [1,2,1,3,1]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [8,5,4,3,6,2,1,7] => [7,1,6,3,4,2,8,5] => [1,2,2,2,1]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [8,4,5,3,6,2,1,7] => [7,1,6,5,3,2,8,4] => [1,2,1,1,2,1]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [7,1,5,3,6,2,8,4] => [1,2,2,2,1]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [8,3,4,5,6,2,1,7] => [7,1,4,5,6,2,8,3] => [1,4,2,1]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [7,3,1,2,4,5,8,6] => [1,1,5,1]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [8,5,6,4,2,3,1,7] => [7,3,1,2,6,4,8,5] => [1,1,3,2,1]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,2,3,1,7] => [7,3,1,5,2,4,8,6] => [1,1,2,3,1]
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [8,4,5,6,2,3,1,7] => [7,3,1,5,6,2,8,4] => [1,1,3,2,1]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [7,4,2,1,3,5,8,6] => [1,1,1,4,1]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [8,6,5,2,3,4,1,7] => [7,3,4,1,2,5,8,6] => [1,2,4,1]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [8,5,6,2,3,4,1,7] => [7,3,4,1,6,2,8,5] => [1,2,2,2,1]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [8,6,4,3,2,5,1,7] => [7,5,2,3,1,4,8,6] => [1,1,2,3,1]
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [8,6,3,4,2,5,1,7] => [7,5,4,2,1,3,8,6] => [1,1,1,1,3,1]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [8,6,4,2,3,5,1,7] => [7,3,5,2,1,4,8,6] => [1,2,1,3,1]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [7,4,2,5,1,3,8,6] => [1,1,2,3,1]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [7,6,2,3,4,1,8,5] => [1,1,3,2,1]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [8,4,5,3,2,6,1,7] => [7,6,2,5,3,1,8,4] => [1,1,2,1,2,1]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [7,6,5,3,2,1,8,4] => [1,1,1,1,1,2,1]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [8,3,4,5,2,6,1,7] => [7,6,4,5,2,1,8,3] => [1,1,2,1,2,1]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [7,3,6,5,2,1,8,4] => [1,2,1,1,2,1]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [7,4,2,6,3,1,8,5] => [1,1,2,1,2,1]
[[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [8,5,2,3,4,6,1,7] => [7,3,4,6,2,1,8,5] => [1,3,1,2,1]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [8,4,3,2,5,6,1,7] => [7,5,2,3,6,1,8,4] => [1,1,3,2,1]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [8,3,4,2,5,6,1,7] => [7,5,4,2,6,1,8,3] => [1,1,1,2,2,1]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [8,4,2,3,5,6,1,7] => [7,3,5,2,6,1,8,4] => [1,2,2,2,1]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [7,3,4,5,6,1,8,2] => [1,4,2,1]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [2,7,1,3,4,5,8,6] => [2,5,1]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,3,1,2,7] => [2,7,1,5,3,4,8,6] => [2,2,3,1]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [8,5,4,6,3,1,2,7] => [2,7,1,6,4,3,8,5] => [2,2,1,2,1]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [2,7,4,1,3,5,8,6] => [2,1,4,1]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [2,7,4,1,6,3,8,5] => [2,1,2,2,1]
[[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [8,6,4,3,5,1,2,7] => [2,7,5,3,1,4,8,6] => [2,1,1,3,1]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [8,6,3,4,5,1,2,7] => [2,7,4,5,1,3,8,6] => [2,2,3,1]
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [8,5,4,3,6,1,2,7] => [2,7,6,3,4,1,8,5] => [2,1,2,2,1]
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [8,4,5,3,6,1,2,7] => [2,7,6,5,3,1,8,4] => [2,1,1,1,2,1]
[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [8,5,3,4,6,1,2,7] => [2,7,4,6,3,1,8,5] => [2,2,1,2,1]
[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [2,7,5,3,6,1,8,4] => [2,1,2,2,1]
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [2,7,4,5,6,1,8,3] => [2,3,2,1]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [3,1,7,2,4,5,8,6] => [1,2,4,1]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,2,1,3,7] => [3,1,7,2,6,4,8,5] => [1,2,2,2,1]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,2,1,3,7] => [3,1,7,5,2,4,8,6] => [1,2,1,3,1]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [8,5,4,6,2,1,3,7] => [3,1,7,6,4,2,8,5] => [1,2,1,1,2,1]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [2,3,7,1,4,5,8,6] => [3,4,1]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [2,3,7,1,6,4,8,5] => [3,2,2,1]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [2,3,7,5,1,4,8,6] => [3,1,3,1]
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [2,3,7,5,6,1,8,4] => [3,2,2,1]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [4,1,2,7,3,5,8,6] => [1,3,3,1]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [8,5,6,3,2,1,4,7] => [4,1,2,7,6,3,8,5] => [1,3,1,2,1]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [4,3,1,7,2,5,8,6] => [1,1,2,3,1]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [4,3,1,7,6,2,8,5] => [1,1,2,1,2,1]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [8,6,5,3,1,2,4,7] => [2,4,1,7,3,5,8,6] => [2,2,3,1]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [8,5,6,3,1,2,4,7] => [2,4,1,7,6,3,8,5] => [2,2,1,2,1]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [3,1,4,7,2,5,8,6] => [1,3,3,1]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [3,1,4,7,6,2,8,5] => [1,3,1,2,1]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [2,3,4,7,1,5,8,6] => [4,3,1]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [2,3,4,7,6,1,8,5] => [4,1,2,1]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [5,1,2,3,7,4,8,6] => [1,4,2,1]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [5,1,4,2,7,3,8,6] => [1,2,2,2,1]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [8,6,4,2,3,1,5,7] => [5,3,1,2,7,4,8,6] => [1,1,3,2,1]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [5,4,2,1,7,3,8,6] => [1,1,1,2,2,1]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [8,6,2,3,4,1,5,7] => [5,3,4,1,7,2,8,6] => [1,2,2,2,1]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [8,6,4,3,1,2,5,7] => [2,5,1,3,7,4,8,6] => [2,3,2,1]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [2,5,4,1,7,3,8,6] => [2,1,2,2,1]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [3,1,5,2,7,4,8,6] => [1,2,2,2,1]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [2,3,5,1,7,4,8,6] => [3,2,2,1]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [8,6,3,2,1,4,5,7] => [4,1,2,5,7,3,8,6] => [1,4,2,1]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [8,6,2,3,1,4,5,7] => [4,3,1,5,7,2,8,6] => [1,1,3,2,1]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [2,3,4,5,7,1,8,6] => [5,2,1]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [6,1,2,3,4,7,8,5] => [1,6,1]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [8,4,5,3,2,1,6,7] => [6,1,2,5,3,7,8,4] => [1,3,3,1]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [8,4,3,5,2,1,6,7] => [6,1,5,3,2,7,8,4] => [1,2,1,3,1]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [6,1,4,5,2,7,8,3] => [1,3,3,1]
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [8,5,4,2,3,1,6,7] => [6,3,1,2,4,7,8,5] => [1,1,5,1]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [8,4,5,2,3,1,6,7] => [6,3,1,5,2,7,8,4] => [1,1,2,3,1]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [8,5,3,2,4,1,6,7] => [6,4,2,1,3,7,8,5] => [1,1,1,4,1]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [6,3,4,1,2,7,8,5] => [1,2,4,1]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [8,4,2,3,5,1,6,7] => [6,3,5,2,1,7,8,4] => [1,2,1,3,1]
[[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [8,3,2,4,5,1,6,7] => [6,4,2,5,1,7,8,3] => [1,1,2,3,1]
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [6,3,4,5,1,7,8,2] => [1,3,3,1]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [8,5,4,3,1,2,6,7] => [2,6,1,3,4,7,8,5] => [2,5,1]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [8,5,3,4,1,2,6,7] => [2,6,4,1,3,7,8,5] => [2,1,4,1]
[[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [8,4,3,5,1,2,6,7] => [2,6,5,3,1,7,8,4] => [2,1,1,3,1]
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [8,3,4,5,1,2,6,7] => [2,6,4,5,1,7,8,3] => [2,2,3,1]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [8,5,4,2,1,3,6,7] => [3,1,6,2,4,7,8,5] => [1,2,4,1]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [8,4,5,2,1,3,6,7] => [3,1,6,5,2,7,8,4] => [1,2,1,3,1]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [2,3,6,1,4,7,8,5] => [3,4,1]
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [8,4,5,1,2,3,6,7] => [2,3,6,5,1,7,8,4] => [3,1,3,1]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [8,5,3,2,1,4,6,7] => [4,1,2,6,3,7,8,5] => [1,3,3,1]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [2,4,1,6,3,7,8,5] => [2,2,3,1]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [3,1,4,6,2,7,8,5] => [1,3,3,1]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [2,3,4,6,1,7,8,5] => [4,3,1]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [5,1,2,3,6,7,8,4] => [1,6,1]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [5,1,4,2,6,7,8,3] => [1,2,4,1]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [5,3,1,2,6,7,8,4] => [1,1,5,1]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [8,3,2,4,1,5,6,7] => [5,4,2,1,6,7,8,3] => [1,1,1,4,1]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [5,3,4,1,6,7,8,2] => [1,2,4,1]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [8,4,3,1,2,5,6,7] => [2,5,1,3,6,7,8,4] => [2,5,1]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [2,5,4,1,6,7,8,3] => [2,1,4,1]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [3,1,5,2,6,7,8,4] => [1,2,4,1]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [2,3,5,1,6,7,8,4] => [3,4,1]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [4,1,2,5,6,7,8,3] => [1,6,1]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [4,3,1,5,6,7,8,2] => [1,1,5,1]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [2,4,1,5,6,7,8,3] => [2,5,1]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [3,1,4,5,6,7,8,2] => [1,6,1]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,8,1] => [7,1]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,1,2,3,4,5,6,8] => [1,7]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [7,1,2,3,4,6,5,8] => [1,5,2]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [7,1,2,3,6,4,5,8] => [1,4,3]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [7,1,2,3,6,5,4,8] => [1,4,1,2]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [7,1,2,3,5,6,4,8] => [1,5,2]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [7,1,2,5,3,4,6,8] => [1,3,4]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [7,5,4,6,3,2,1,8] => [7,1,2,6,4,3,5,8] => [1,3,1,3]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [7,4,5,6,3,2,1,8] => [7,1,2,5,6,3,4,8] => [1,4,3]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [7,1,2,6,4,5,3,8] => [1,3,2,2]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [7,1,2,6,5,4,3,8] => [1,3,1,1,2]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [7,1,2,5,4,6,3,8] => [1,3,2,2]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [7,1,2,4,5,6,3,8] => [1,5,2]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [7,1,4,2,3,5,6,8] => [1,2,5]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [7,1,4,2,6,3,5,8] => [1,2,2,3]
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [6,5,7,3,4,2,1,8] => [7,1,4,2,6,5,3,8] => [1,2,2,1,2]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [7,1,4,2,5,6,3,8] => [1,2,3,2]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [7,1,5,3,2,4,6,8] => [1,2,1,4]
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [6,7,4,3,5,2,1,8] => [7,1,5,3,2,6,4,8] => [1,2,1,2,2]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [7,1,4,5,2,3,6,8] => [1,3,4]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [7,1,6,3,4,2,5,8] => [1,2,2,3]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [7,4,5,3,6,2,1,8] => [7,1,6,5,3,2,4,8] => [1,2,1,1,3]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [7,4,3,5,6,2,1,8] => [7,1,5,3,6,2,4,8] => [1,2,2,3]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [7,3,4,5,6,2,1,8] => [7,1,4,5,6,2,3,8] => [1,4,3]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [7,1,6,3,4,5,2,8] => [1,2,3,2]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [7,1,6,3,5,4,2,8] => [1,2,2,1,2]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [7,1,6,5,4,3,2,8] => [1,2,1,1,1,2]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [5,6,3,4,7,2,1,8] => [7,1,4,6,5,3,2,8] => [1,3,1,1,2]
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [6,4,3,5,7,2,1,8] => [7,1,5,3,6,4,2,8] => [1,2,2,1,2]
[[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [4,5,3,6,7,2,1,8] => [7,1,5,4,3,6,2,8] => [1,2,1,2,2]
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [7,1,3,4,5,6,2,8] => [1,5,2]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [7,3,1,2,4,5,6,8] => [1,1,6]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [7,3,1,2,4,6,5,8] => [1,1,4,2]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [7,3,1,2,6,4,5,8] => [1,1,3,3]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [7,3,1,2,5,6,4,8] => [1,1,4,2]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [7,3,1,5,2,4,6,8] => [1,1,2,4]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [7,3,1,5,2,6,4,8] => [1,1,2,2,2]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [7,4,5,6,2,3,1,8] => [7,3,1,5,6,2,4,8] => [1,1,3,3]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [6,5,4,7,2,3,1,8] => [7,3,1,6,4,5,2,8] => [1,1,2,2,2]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [7,3,1,6,5,4,2,8] => [1,1,2,1,1,2]
[[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [6,4,5,7,2,3,1,8] => [7,3,1,5,6,4,2,8] => [1,1,3,1,2]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [5,4,6,7,2,3,1,8] => [7,3,1,5,4,6,2,8] => [1,1,2,2,2]
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [4,5,6,7,2,3,1,8] => [7,3,1,4,5,6,2,8] => [1,1,4,2]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [7,5,6,3,2,4,1,8] => [7,4,2,1,6,3,5,8] => [1,1,1,2,3]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [7,4,2,1,6,5,3,8] => [1,1,1,2,1,2]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [7,4,2,1,5,6,3,8] => [1,1,1,3,2]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [7,3,4,1,2,5,6,8] => [1,2,5]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [7,3,4,1,2,6,5,8] => [1,2,3,2]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [7,3,4,1,6,2,5,8] => [1,2,2,3]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [7,3,4,1,6,5,2,8] => [1,2,2,1,2]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [7,3,4,1,5,6,2,8] => [1,2,3,2]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [7,6,4,3,2,5,1,8] => [7,5,2,3,1,4,6,8] => [1,1,2,4]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [6,7,4,3,2,5,1,8] => [7,5,2,3,1,6,4,8] => [1,1,2,2,2]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [6,7,3,4,2,5,1,8] => [7,5,4,2,1,6,3,8] => [1,1,1,1,2,2]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [7,3,5,2,1,4,6,8] => [1,2,1,4]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [6,7,4,2,3,5,1,8] => [7,3,5,2,1,6,4,8] => [1,2,1,2,2]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [7,4,2,5,1,3,6,8] => [1,1,2,4]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [6,7,3,2,4,5,1,8] => [7,4,2,5,1,6,3,8] => [1,1,2,2,2]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [7,6,2,3,4,5,1,8] => [7,3,4,5,1,2,6,8] => [1,3,4]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [7,6,2,3,4,1,5,8] => [1,1,3,3]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [7,4,5,3,2,6,1,8] => [7,6,2,5,3,1,4,8] => [1,1,2,1,3]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [7,4,3,5,2,6,1,8] => [7,6,5,3,2,1,4,8] => [1,1,1,1,1,3]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [7,3,4,5,2,6,1,8] => [7,6,4,5,2,1,3,8] => [1,1,2,1,3]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [7,5,4,2,3,6,1,8] => [7,3,6,2,4,1,5,8] => [1,2,2,3]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [7,4,5,2,3,6,1,8] => [7,3,6,5,2,1,4,8] => [1,2,1,1,3]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [7,4,2,6,3,1,5,8] => [1,1,2,1,3]
[[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [7,5,2,3,4,6,1,8] => [7,3,4,6,2,1,5,8] => [1,3,1,3]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [7,4,3,2,5,6,1,8] => [7,5,2,3,6,1,4,8] => [1,1,3,3]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [7,4,2,3,5,6,1,8] => [7,3,5,2,6,1,4,8] => [1,2,2,3]
[[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [7,3,2,4,5,6,1,8] => [7,4,2,5,6,1,3,8] => [1,1,3,3]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [7,3,4,5,6,1,2,8] => [1,4,3]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [7,6,2,3,4,5,1,8] => [1,1,4,2]
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [7,6,2,3,5,4,1,8] => [1,1,3,1,2]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [7,6,2,5,4,3,1,8] => [1,1,2,1,1,2]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [7,6,4,2,5,3,1,8] => [1,1,1,2,1,2]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [6,4,3,5,2,7,1,8] => [7,6,5,3,2,4,1,8] => [1,1,1,1,2,2]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [7,6,4,5,2,3,1,8] => [1,1,2,2,2]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [7,6,5,3,4,2,1,8] => [1,1,1,2,1,2]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,2]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [7,6,4,5,3,2,1,8] => [1,1,2,1,1,2]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [7,6,4,3,5,2,1,8] => [1,1,1,2,1,2]
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [7,6,3,4,5,2,1,8] => [1,1,3,1,2]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [6,5,4,2,3,7,1,8] => [7,3,6,2,4,5,1,8] => [1,2,3,2]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [6,4,5,2,3,7,1,8] => [7,3,6,5,2,4,1,8] => [1,2,1,2,2]
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [4,5,6,2,3,7,1,8] => [7,3,6,4,5,2,1,8] => [1,2,2,1,2]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [7,4,2,6,3,5,1,8] => [1,1,2,2,2]
[[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [5,6,3,2,4,7,1,8] => [7,4,2,6,5,3,1,8] => [1,1,2,1,1,2]
[[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [6,5,2,3,4,7,1,8] => [7,3,4,6,2,5,1,8] => [1,3,2,2]
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [5,6,2,3,4,7,1,8] => [7,3,4,6,5,2,1,8] => [1,3,1,1,2]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [6,3,4,2,5,7,1,8] => [7,5,4,2,6,3,1,8] => [1,1,1,2,1,2]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [7,3,5,2,6,4,1,8] => [1,2,2,1,2]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [6,3,2,4,5,7,1,8] => [7,4,2,5,6,3,1,8] => [1,1,3,1,2]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [6,2,3,4,5,7,1,8] => [7,3,4,5,6,2,1,8] => [1,4,1,2]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [7,5,2,3,4,6,1,8] => [1,1,4,2]
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [4,5,3,2,6,7,1,8] => [7,5,2,4,3,6,1,8] => [1,1,2,2,2]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [5,3,4,2,6,7,1,8] => [7,5,4,2,3,6,1,8] => [1,1,1,3,2]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [4,3,5,2,6,7,1,8] => [7,5,4,3,2,6,1,8] => [1,1,1,1,2,2]
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [7,5,3,4,2,6,1,8] => [1,1,2,2,2]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [5,4,2,3,6,7,1,8] => [7,3,5,2,4,6,1,8] => [1,2,3,2]
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [4,5,2,3,6,7,1,8] => [7,3,5,4,2,6,1,8] => [1,2,1,2,2]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [5,3,2,4,6,7,1,8] => [7,4,2,5,3,6,1,8] => [1,1,2,2,2]
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [5,2,3,4,6,7,1,8] => [7,3,4,5,2,6,1,8] => [1,3,2,2]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [7,4,2,3,5,6,1,8] => [1,1,4,2]
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [7,4,3,2,5,6,1,8] => [1,1,1,3,2]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [7,3,2,4,5,6,1,8] => [1,1,4,2]
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [7,2,3,4,5,6,1,8] => [1,5,2]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [2,7,1,3,4,5,6,8] => [2,6]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [2,7,1,3,6,4,5,8] => [2,3,3]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [6,5,7,4,3,1,2,8] => [2,7,1,3,6,5,4,8] => [2,3,1,2]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [5,6,7,4,3,1,2,8] => [2,7,1,3,5,6,4,8] => [2,4,2]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,3,1,2,8] => [2,7,1,5,3,4,6,8] => [2,2,4]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [7,5,4,6,3,1,2,8] => [2,7,1,6,4,3,5,8] => [2,2,1,3]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [7,4,5,6,3,1,2,8] => [2,7,1,5,6,3,4,8] => [2,3,3]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [5,4,6,7,3,1,2,8] => [2,7,1,5,4,6,3,8] => [2,2,2,2]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [2,7,1,4,5,6,3,8] => [2,4,2]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [7,6,5,3,4,1,2,8] => [2,7,4,1,3,5,6,8] => [2,1,5]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [6,7,5,3,4,1,2,8] => [2,7,4,1,3,6,5,8] => [2,1,3,2]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [7,5,6,3,4,1,2,8] => [2,7,4,1,6,3,5,8] => [2,1,2,3]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [6,5,7,3,4,1,2,8] => [2,7,4,1,6,5,3,8] => [2,1,2,1,2]
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [7,6,4,3,5,1,2,8] => [2,7,5,3,1,4,6,8] => [2,1,1,4]
[[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [6,7,4,3,5,1,2,8] => [2,7,5,3,1,6,4,8] => [2,1,1,2,2]
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [7,5,4,3,6,1,2,8] => [2,7,6,3,4,1,5,8] => [2,1,2,3]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [7,4,5,3,6,1,2,8] => [2,7,6,5,3,1,4,8] => [2,1,1,1,3]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [7,5,3,4,6,1,2,8] => [2,7,4,6,3,1,5,8] => [2,2,1,3]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [7,4,3,5,6,1,2,8] => [2,7,5,3,6,1,4,8] => [2,1,2,3]
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [7,3,4,5,6,1,2,8] => [2,7,4,5,6,1,3,8] => [2,3,3]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [6,5,4,3,7,1,2,8] => [2,7,6,3,4,5,1,8] => [2,1,3,2]
[[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [5,6,4,3,7,1,2,8] => [2,7,6,3,5,4,1,8] => [2,1,2,1,2]
[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [6,4,5,3,7,1,2,8] => [2,7,6,5,3,4,1,8] => [2,1,1,2,2]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [5,4,6,3,7,1,2,8] => [2,7,6,5,4,3,1,8] => [2,1,1,1,1,2]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [6,5,3,4,7,1,2,8] => [2,7,4,6,3,5,1,8] => [2,2,2,2]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [2,7,4,6,5,3,1,8] => [2,2,1,1,2]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [6,4,3,5,7,1,2,8] => [2,7,5,3,6,4,1,8] => [2,1,2,1,2]
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [6,3,4,5,7,1,2,8] => [2,7,4,5,6,3,1,8] => [2,3,1,2]
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [4,5,3,6,7,1,2,8] => [2,7,5,4,3,6,1,8] => [2,1,1,2,2]
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [5,3,4,6,7,1,2,8] => [2,7,4,5,3,6,1,8] => [2,2,2,2]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [2,7,3,4,5,6,1,8] => [2,4,2]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [3,1,7,2,4,5,6,8] => [1,2,5]
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,2,1,3,8] => [3,1,7,2,6,5,4,8] => [1,2,2,1,2]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [5,6,7,4,2,1,3,8] => [3,1,7,2,5,6,4,8] => [1,2,3,2]
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,2,1,3,8] => [3,1,7,5,2,4,6,8] => [1,2,1,4]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [3,1,7,6,4,2,5,8] => [1,2,1,1,3]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [7,4,5,6,2,1,3,8] => [3,1,7,5,6,2,4,8] => [1,2,2,3]
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [6,5,4,7,2,1,3,8] => [3,1,7,6,4,5,2,8] => [1,2,1,2,2]
[[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [5,6,4,7,2,1,3,8] => [3,1,7,6,5,4,2,8] => [1,2,1,1,1,2]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [5,4,6,7,2,1,3,8] => [3,1,7,5,4,6,2,8] => [1,2,1,2,2]
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [4,5,6,7,2,1,3,8] => [3,1,7,4,5,6,2,8] => [1,2,3,2]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [2,3,7,1,4,5,6,8] => [3,5]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [7,5,6,4,1,2,3,8] => [2,3,7,1,6,4,5,8] => [3,2,3]
[[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,1,2,3,8] => [2,3,7,1,6,5,4,8] => [3,2,1,2]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [2,3,7,1,5,6,4,8] => [3,3,2]
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [6,7,4,5,1,2,3,8] => [2,3,7,5,1,6,4,8] => [3,1,2,2]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,1,2,3,8] => [2,3,7,6,4,1,5,8] => [3,1,1,3]
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [2,3,7,5,6,1,4,8] => [3,2,3]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [2,3,7,6,5,4,1,8] => [3,1,1,1,2]
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [6,4,5,7,1,2,3,8] => [2,3,7,5,6,4,1,8] => [3,2,1,2]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [2,3,7,5,4,6,1,8] => [3,1,2,2]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [2,3,7,4,5,6,1,8] => [3,3,2]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [4,1,2,7,3,5,6,8] => [1,3,4]
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [6,7,5,3,2,1,4,8] => [4,1,2,7,3,6,5,8] => [1,3,2,2]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [5,6,7,3,2,1,4,8] => [4,1,2,7,5,6,3,8] => [1,3,2,2]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [7,6,5,2,3,1,4,8] => [4,3,1,7,2,5,6,8] => [1,1,2,4]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [7,5,6,2,3,1,4,8] => [4,3,1,7,6,2,5,8] => [1,1,2,1,3]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [6,5,7,2,3,1,4,8] => [4,3,1,7,6,5,2,8] => [1,1,2,1,1,2]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [4,3,1,7,5,6,2,8] => [1,1,2,2,2]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [6,7,5,3,1,2,4,8] => [2,4,1,7,3,6,5,8] => [2,2,2,2]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [2,4,1,7,5,6,3,8] => [2,2,2,2]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [7,6,5,2,1,3,4,8] => [3,1,4,7,2,5,6,8] => [1,3,4]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [6,7,5,2,1,3,4,8] => [3,1,4,7,2,6,5,8] => [1,3,2,2]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [7,5,6,2,1,3,4,8] => [3,1,4,7,6,2,5,8] => [1,3,1,3]
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [3,1,4,7,5,6,2,8] => [1,3,2,2]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [2,3,4,7,1,5,6,8] => [4,4]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [2,3,4,7,1,6,5,8] => [4,2,2]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [2,3,4,7,6,1,5,8] => [4,1,3]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [2,3,4,7,6,5,1,8] => [4,1,1,2]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [2,3,4,7,5,6,1,8] => [4,2,2]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [7,6,4,3,2,1,5,8] => [5,1,2,3,7,4,6,8] => [1,4,3]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [6,7,4,3,2,1,5,8] => [5,1,2,3,7,6,4,8] => [1,4,1,2]
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [7,6,3,4,2,1,5,8] => [5,1,4,2,7,3,6,8] => [1,2,2,3]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [7,6,4,2,3,1,5,8] => [5,3,1,2,7,4,6,8] => [1,1,3,3]
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [6,7,4,2,3,1,5,8] => [5,3,1,2,7,6,4,8] => [1,1,3,1,2]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [7,6,3,2,4,1,5,8] => [5,4,2,1,7,3,6,8] => [1,1,1,2,3]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [6,7,3,2,4,1,5,8] => [5,4,2,1,7,6,3,8] => [1,1,1,2,1,2]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [7,6,2,3,4,1,5,8] => [5,3,4,1,7,2,6,8] => [1,2,2,3]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [2,5,1,3,7,4,6,8] => [2,3,3]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [6,7,4,3,1,2,5,8] => [2,5,1,3,7,6,4,8] => [2,3,1,2]
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [7,6,3,4,1,2,5,8] => [2,5,4,1,7,3,6,8] => [2,1,2,3]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [6,7,3,4,1,2,5,8] => [2,5,4,1,7,6,3,8] => [2,1,2,1,2]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [3,1,5,2,7,4,6,8] => [1,2,2,3]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [4,1,2,5,7,3,6,8] => [1,4,3]
[[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [6,7,3,2,1,4,5,8] => [4,1,2,5,7,6,3,8] => [1,4,1,2]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [7,6,2,3,1,4,5,8] => [4,3,1,5,7,2,6,8] => [1,1,3,3]
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [6,7,2,3,1,4,5,8] => [4,3,1,5,7,6,2,8] => [1,1,3,1,2]
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [6,7,3,1,2,4,5,8] => [2,4,1,5,7,6,3,8] => [2,3,1,2]
[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [6,7,2,1,3,4,5,8] => [3,1,4,5,7,6,2,8] => [1,4,1,2]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [2,3,4,5,7,1,6,8] => [5,3]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [2,3,4,5,7,6,1,8] => [5,1,2]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [6,1,2,3,4,7,5,8] => [1,5,2]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [7,4,5,3,2,1,6,8] => [6,1,2,5,3,7,4,8] => [1,3,2,2]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [7,4,3,5,2,1,6,8] => [6,1,5,3,2,7,4,8] => [1,2,1,2,2]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [7,3,4,5,2,1,6,8] => [6,1,4,5,2,7,3,8] => [1,3,2,2]
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [7,5,4,2,3,1,6,8] => [6,3,1,2,4,7,5,8] => [1,1,4,2]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [7,4,5,2,3,1,6,8] => [6,3,1,5,2,7,4,8] => [1,1,2,2,2]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [6,4,2,1,3,7,5,8] => [1,1,1,3,2]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [7,4,3,2,5,1,6,8] => [6,5,2,3,1,7,4,8] => [1,1,2,2,2]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [7,4,2,3,5,1,6,8] => [6,3,5,2,1,7,4,8] => [1,2,1,2,2]
[[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [7,3,2,4,5,1,6,8] => [6,4,2,5,1,7,3,8] => [1,1,2,2,2]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [6,3,4,5,1,7,2,8] => [1,3,2,2]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [7,5,4,3,1,2,6,8] => [2,6,1,3,4,7,5,8] => [2,4,2]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [7,4,5,3,1,2,6,8] => [2,6,1,5,3,7,4,8] => [2,2,2,2]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [7,5,3,4,1,2,6,8] => [2,6,4,1,3,7,5,8] => [2,1,3,2]
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [7,4,5,2,1,3,6,8] => [3,1,6,5,2,7,4,8] => [1,2,1,2,2]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [7,5,4,1,2,3,6,8] => [2,3,6,1,4,7,5,8] => [3,3,2]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [7,5,3,2,1,4,6,8] => [4,1,2,6,3,7,5,8] => [1,3,2,2]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [7,5,2,3,1,4,6,8] => [4,3,1,6,2,7,5,8] => [1,1,2,2,2]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [2,4,1,6,3,7,5,8] => [2,2,2,2]
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [7,5,2,1,3,4,6,8] => [3,1,4,6,2,7,5,8] => [1,3,2,2]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [2,3,4,6,1,7,5,8] => [4,2,2]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [5,1,2,3,6,7,4,8] => [1,5,2]
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [7,4,2,3,1,5,6,8] => [5,3,1,2,6,7,4,8] => [1,1,4,2]
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [7,2,3,4,1,5,6,8] => [5,3,4,1,6,7,2,8] => [1,2,3,2]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [7,4,3,1,2,5,6,8] => [2,5,1,3,6,7,4,8] => [2,4,2]
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [7,3,4,1,2,5,6,8] => [2,5,4,1,6,7,3,8] => [2,1,3,2]
[[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [7,4,2,1,3,5,6,8] => [3,1,5,2,6,7,4,8] => [1,2,3,2]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [2,3,5,1,6,7,4,8] => [3,3,2]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [4,1,2,5,6,7,3,8] => [1,5,2]
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [7,2,3,1,4,5,6,8] => [4,3,1,5,6,7,2,8] => [1,1,4,2]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [2,4,1,5,6,7,3,8] => [2,4,2]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [3,1,4,5,6,7,2,8] => [1,5,2]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [2,3,4,5,6,7,1,8] => [6,2]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,1,2,3,4,5,7,8] => [1,7]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [6,1,2,3,5,4,7,8] => [1,4,3]
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [6,4,5,3,2,1,7,8] => [6,1,2,5,3,4,7,8] => [1,3,4]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [6,1,2,5,4,3,7,8] => [1,3,1,3]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [6,1,2,4,5,3,7,8] => [1,4,3]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [6,1,4,2,3,5,7,8] => [1,2,5]
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [5,6,3,4,2,1,7,8] => [6,1,4,2,5,3,7,8] => [1,2,2,3]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [6,1,5,3,4,2,7,8] => [1,2,2,3]
[[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [5,3,4,6,2,1,7,8] => [6,1,4,5,3,2,7,8] => [1,3,1,3]
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [4,3,5,6,2,1,7,8] => [6,1,4,3,5,2,7,8] => [1,2,2,3]
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [6,1,3,4,5,2,7,8] => [1,4,3]
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [6,5,4,2,3,1,7,8] => [6,3,1,2,4,5,7,8] => [1,1,6]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [5,4,6,2,3,1,7,8] => [6,3,1,5,4,2,7,8] => [1,1,2,1,3]
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [4,5,6,2,3,1,7,8] => [6,3,1,4,5,2,7,8] => [1,1,3,3]
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [6,5,3,2,4,1,7,8] => [6,4,2,1,3,5,7,8] => [1,1,1,5]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [5,6,3,2,4,1,7,8] => [6,4,2,1,5,3,7,8] => [1,1,1,2,3]
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [5,6,2,3,4,1,7,8] => [6,3,4,1,5,2,7,8] => [1,2,2,3]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [6,4,3,2,5,1,7,8] => [6,5,2,3,1,4,7,8] => [1,1,2,4]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [6,3,4,2,5,1,7,8] => [6,5,4,2,1,3,7,8] => [1,1,1,1,4]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [6,4,2,3,5,1,7,8] => [6,3,5,2,1,4,7,8] => [1,2,1,4]
[[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [6,3,2,4,5,1,7,8] => [6,4,2,5,1,3,7,8] => [1,1,2,4]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [6,5,2,3,4,1,7,8] => [1,1,3,3]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [6,5,2,4,3,1,7,8] => [1,1,2,1,3]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [5,3,4,2,6,1,7,8] => [6,5,4,2,3,1,7,8] => [1,1,1,2,3]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [6,5,4,3,2,1,7,8] => [1,1,1,1,1,3]
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [6,5,3,4,2,1,7,8] => [1,1,2,1,3]
[[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [5,4,2,3,6,1,7,8] => [6,3,5,2,4,1,7,8] => [1,2,2,3]
[[[.,[[[.,.],[[.,.],.]],.]],.],.] => [4,5,2,3,6,1,7,8] => [6,3,5,4,2,1,7,8] => [1,2,1,1,3]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [5,3,2,4,6,1,7,8] => [6,4,2,5,3,1,7,8] => [1,1,2,1,3]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [6,3,4,5,2,1,7,8] => [1,3,1,3]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [6,4,2,3,5,1,7,8] => [1,1,3,3]
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [6,4,3,2,5,1,7,8] => [1,1,1,2,3]
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [4,2,3,5,6,1,7,8] => [6,3,4,2,5,1,7,8] => [1,2,2,3]
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [6,3,2,4,5,1,7,8] => [1,1,3,3]
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [6,2,3,4,5,1,7,8] => [1,4,3]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [2,6,1,3,4,5,7,8] => [2,6]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [2,6,1,3,5,4,7,8] => [2,3,3]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [6,4,5,3,1,2,7,8] => [2,6,1,5,3,4,7,8] => [2,2,4]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [2,6,1,5,4,3,7,8] => [2,2,1,3]
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [4,5,6,3,1,2,7,8] => [2,6,1,4,5,3,7,8] => [2,3,3]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [6,5,3,4,1,2,7,8] => [2,6,4,1,3,5,7,8] => [2,1,5]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [2,6,4,1,5,3,7,8] => [2,1,2,3]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [6,4,3,5,1,2,7,8] => [2,6,5,3,1,4,7,8] => [2,1,1,4]
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [6,3,4,5,1,2,7,8] => [2,6,4,5,1,3,7,8] => [2,2,4]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [2,6,5,3,4,1,7,8] => [2,1,2,3]
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [5,3,4,6,1,2,7,8] => [2,6,4,5,3,1,7,8] => [2,2,1,3]
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [4,3,5,6,1,2,7,8] => [2,6,4,3,5,1,7,8] => [2,1,2,3]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [2,6,3,4,5,1,7,8] => [2,3,3]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [6,5,4,2,1,3,7,8] => [3,1,6,2,4,5,7,8] => [1,2,5]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [3,1,6,2,5,4,7,8] => [1,2,2,3]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [6,4,5,2,1,3,7,8] => [3,1,6,5,2,4,7,8] => [1,2,1,4]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [5,4,6,2,1,3,7,8] => [3,1,6,5,4,2,7,8] => [1,2,1,1,3]
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [4,5,6,2,1,3,7,8] => [3,1,6,4,5,2,7,8] => [1,2,2,3]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [2,3,6,1,4,5,7,8] => [3,5]
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [5,6,4,1,2,3,7,8] => [2,3,6,1,5,4,7,8] => [3,2,3]
[[[[[.,.],.],[[.,[.,.]],.]],.],.] => [5,4,6,1,2,3,7,8] => [2,3,6,5,4,1,7,8] => [3,1,1,3]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [2,3,6,4,5,1,7,8] => [3,2,3]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [6,5,3,2,1,4,7,8] => [4,1,2,6,3,5,7,8] => [1,3,4]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [4,1,2,6,5,3,7,8] => [1,3,1,3]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [6,5,2,3,1,4,7,8] => [4,3,1,6,2,5,7,8] => [1,1,2,4]
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [5,6,2,3,1,4,7,8] => [4,3,1,6,5,2,7,8] => [1,1,2,1,3]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [6,5,3,1,2,4,7,8] => [2,4,1,6,3,5,7,8] => [2,2,4]
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [5,6,3,1,2,4,7,8] => [2,4,1,6,5,3,7,8] => [2,2,1,3]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [6,5,2,1,3,4,7,8] => [3,1,4,6,2,5,7,8] => [1,3,4]
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [5,6,2,1,3,4,7,8] => [3,1,4,6,5,2,7,8] => [1,3,1,3]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [6,5,1,2,3,4,7,8] => [2,3,4,6,1,5,7,8] => [4,4]
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [5,6,1,2,3,4,7,8] => [2,3,4,6,5,1,7,8] => [4,1,3]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [5,1,2,3,6,4,7,8] => [1,4,3]
[[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [6,3,4,2,1,5,7,8] => [5,1,4,2,6,3,7,8] => [1,2,2,3]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [6,3,2,4,1,5,7,8] => [5,4,2,1,6,3,7,8] => [1,1,1,2,3]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [6,2,3,4,1,5,7,8] => [5,3,4,1,6,2,7,8] => [1,2,2,3]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [2,5,1,3,6,4,7,8] => [2,3,3]
[[[[[.,.],[[.,.],.]],[.,.]],.],.] => [6,3,4,1,2,5,7,8] => [2,5,4,1,6,3,7,8] => [2,1,2,3]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [3,1,5,2,6,4,7,8] => [1,2,2,3]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [2,3,5,1,6,4,7,8] => [3,2,3]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [4,1,2,5,6,3,7,8] => [1,4,3]
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [6,2,3,1,4,5,7,8] => [4,3,1,5,6,2,7,8] => [1,1,3,3]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [2,4,1,5,6,3,7,8] => [2,3,3]
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [6,2,1,3,4,5,7,8] => [3,1,4,5,6,2,7,8] => [1,4,3]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [2,3,4,5,6,1,7,8] => [5,3]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,1,2,3,4,6,7,8] => [1,7]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [5,1,2,4,3,6,7,8] => [1,3,4]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [5,1,4,2,3,6,7,8] => [1,2,5]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [5,1,4,3,2,6,7,8] => [1,2,1,4]
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [5,1,3,4,2,6,7,8] => [1,3,4]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [5,3,1,2,4,6,7,8] => [1,1,6]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [5,3,1,4,2,6,7,8] => [1,1,2,4]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [5,4,2,1,3,6,7,8] => [1,1,1,5]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [5,3,4,1,2,6,7,8] => [1,2,5]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [5,4,2,3,1,6,7,8] => [1,1,2,4]
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [5,4,3,2,1,6,7,8] => [1,1,1,1,4]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [5,3,4,2,1,6,7,8] => [1,2,1,4]
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [5,3,2,4,1,6,7,8] => [1,1,2,4]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [5,2,3,4,1,6,7,8] => [1,3,4]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [2,5,1,3,4,6,7,8] => [2,6]
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [4,5,3,1,2,6,7,8] => [2,5,1,4,3,6,7,8] => [2,2,4]
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [5,3,4,1,2,6,7,8] => [2,5,4,1,3,6,7,8] => [2,1,5]
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [4,3,5,1,2,6,7,8] => [2,5,4,3,1,6,7,8] => [2,1,1,4]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [2,5,3,4,1,6,7,8] => [2,2,4]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [3,1,5,2,4,6,7,8] => [1,2,5]
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [4,5,2,1,3,6,7,8] => [3,1,5,4,2,6,7,8] => [1,2,1,4]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [2,3,5,1,4,6,7,8] => [3,5]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [2,3,5,4,1,6,7,8] => [3,1,4]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [4,1,2,5,3,6,7,8] => [1,3,4]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [4,3,1,5,2,6,7,8] => [1,1,2,4]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [2,4,1,5,3,6,7,8] => [2,2,4]
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [3,1,4,5,2,6,7,8] => [1,3,4]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [2,3,4,5,1,6,7,8] => [4,4]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,1,2,3,5,6,7,8] => [1,7]
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [4,1,3,2,5,6,7,8] => [1,2,5]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [4,3,1,2,5,6,7,8] => [1,1,6]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [1,1,1,5]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => [1,2,5]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [2,4,1,3,5,6,7,8] => [2,6]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [2,4,3,1,5,6,7,8] => [2,1,5]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [3,1,4,2,5,6,7,8] => [1,2,5]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [2,3,4,1,5,6,7,8] => [3,5]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [1,7]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [1,1,6]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [2,6]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [1,7]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [9,1,2,3,4,5,6,7,8] => [1,8]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [9,1,2,3,4,5,6,8,7] => [1,7,1]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [9,1,2,3,4,5,7,8,6] => [1,7,1]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [9,1,2,3,4,6,7,8,5] => [1,7,1]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [9,1,3,4,5,6,7,8,2] => [1,7,1]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [9,2,3,4,5,6,7,8,1] => [1,7,1]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [10,1,2,3,4,5,6,7,8,9] => [1,9]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [10,1,2,3,4,5,6,7,9,8] => [1,8,1]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [9,7,8,6,5,4,3,2,1] => [9,1,2,3,4,5,8,6,7] => [1,6,2]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [10,1,2,3,4,5,6,8,9,7] => [1,8,1]
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [8,9,6,7,5,4,3,2,1] => [9,1,2,3,4,7,5,8,6] => [1,5,2,1]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [10,1,2,3,4,5,7,8,9,6] => [1,8,1]
[.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [7,8,9,5,6,4,3,2,1] => [9,1,2,3,6,4,7,8,5] => [1,4,3,1]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [10,1,2,3,4,6,7,8,9,5] => [1,8,1]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [4,5,6,7,8,9,2,3,1] => [9,3,1,4,5,6,7,8,2] => [1,1,6,1]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [10,1,3,4,5,6,7,8,9,2] => [1,8,1]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,1,2] => [2,9,3,4,5,6,7,8,1] => [2,6,1]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [10,2,3,4,5,6,7,8,9,1] => [1,8,1]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [9,1,2,3,4,5,8,7,6] => [1,6,1,1]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [9,1,2,3,4,8,6,7,5] => [1,5,2,1]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [9,1,2,3,8,5,6,7,4] => [1,4,3,1]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [9,1,2,8,4,5,6,7,3] => [1,3,4,1]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [9,1,8,3,4,5,6,7,2] => [1,2,5,1]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [9,8,2,3,4,5,6,7,1] => [1,1,6,1]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [8,1,2,3,4,5,6,7,9] => [1,8]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [10,1,2,3,4,5,6,9,8,7] => [1,7,1,1]
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [8,6,7,9,5,4,3,2,1] => [9,1,2,3,4,7,8,6,5] => [1,6,1,1]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [10,1,2,3,4,5,9,7,8,6] => [1,6,2,1]
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [8,7,5,6,9,4,3,2,1] => [9,1,2,3,6,8,5,7,4] => [1,5,2,1]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [10,1,2,3,4,9,6,7,8,5] => [1,5,3,1]
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [8,7,6,4,5,9,3,2,1] => [9,1,2,5,8,4,6,7,3] => [1,4,3,1]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [10,1,2,3,9,5,6,7,8,4] => [1,4,4,1]
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [8,7,6,5,3,4,9,2,1] => [9,1,4,8,3,5,6,7,2] => [1,3,4,1]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [10,1,2,9,4,5,6,7,8,3] => [1,3,5,1]
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [8,7,6,5,4,2,3,9,1] => [9,3,8,2,4,5,6,7,1] => [1,2,5,1]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [10,1,9,3,4,5,6,7,8,2] => [1,2,6,1]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [2,8,1,3,4,5,6,7,9] => [2,7]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [10,9,2,3,4,5,6,7,8,1] => [1,1,7,1]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [9,1,2,3,4,5,6,7,8,10] => [1,9]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => [2,10,4,1,6,3,8,5,9,7] => [2,1,2,2,2,1]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [6,7,5,8,4,9,3,10,1,2] => [2,10,9,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1,1,1]
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]] => [8,9,7,10,3,4,2,5,1,6] => [6,5,4,2,1,10,9,8,7,3] => [1,1,1,1,2,1,1,1,1]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [9,8,7,6,5,4,3,2,1,10] => [1,1,1,1,1,1,1,1,2]
[[.,.],[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]] => [7,8,6,9,5,10,4,11,3,12,1,2] => [2,12,11,10,9,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1,1,1,1,1]
[[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.] => [6,7,5,8,4,9,3,10,2,11,1,12] => [11,10,9,8,7,6,5,4,3,2,1,12] => [1,1,1,1,1,1,1,1,1,1,2]
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [10,8,6,4,5,2,1,3,7,9] => [3,1,7,5,2,4,9,6,10,8] => [1,2,1,3,2,1]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [10,8,6,4,2,1,3,5,7,9] => [3,1,5,2,7,4,9,6,10,8] => [1,2,2,2,2,1]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [12,10,8,6,4,2,1,3,5,7,9,11] => [3,1,5,2,7,4,9,6,11,8,12,10] => [1,2,2,2,2,2,1]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,9,1] => [8,1]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,10,1] => [9,1]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [3,1,4,5,6,7,8,9,2] => [1,7,1]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [9,3,2,4,5,6,7,8,1] => [1,1,6,1]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [2,3,4,5,6,7,8,9,10,11,1] => [10,1]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [3,1,4,5,6,7,8,9,10,2] => [1,8,1]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [2,4,1,5,6,7,8,9,3] => [2,6,1]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [9,2,3,1,4,5,6,7,8] => [4,3,1,5,6,7,8,9,2] => [1,1,6,1]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [4,2,3,5,6,7,8,9,1] => [9,3,4,2,5,6,7,8,1] => [1,2,5,1]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [9,4,3,2,5,6,7,8,1] => [1,1,1,5,1]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [10,3,2,4,5,6,7,8,9,1] => [1,1,7,1]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [11,2,3,4,5,6,7,8,9,10,1] => [1,9,1]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [2,3,4,5,6,7,9,8,1] => [7,1,1]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [7,8,9,1,2,3,4,5,6] => [2,3,4,5,6,9,7,8,1] => [6,2,1]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [6,7,8,9,1,2,3,4,5] => [2,3,4,5,9,6,7,8,1] => [5,3,1]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [5,6,7,8,9,1,2,3,4] => [2,3,4,9,5,6,7,8,1] => [4,4,1]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [4,5,6,7,8,9,1,2,3] => [2,3,9,4,5,6,7,8,1] => [3,5,1]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,9,1,8] => [7,2]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,10,9,1] => [8,1,1]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [8,7,9,1,2,3,4,5,6] => [2,3,4,5,6,9,8,7,1] => [6,1,1,1]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [8,9,10,1,2,3,4,5,6,7] => [2,3,4,5,6,7,10,8,9,1] => [7,2,1]
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [7,6,8,9,1,2,3,4,5] => [2,3,4,5,9,7,6,8,1] => [5,1,2,1]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [7,8,9,10,1,2,3,4,5,6] => [2,3,4,5,6,10,7,8,9,1] => [6,3,1]
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [6,5,7,8,9,1,2,3,4] => [2,3,4,9,6,5,7,8,1] => [4,1,3,1]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,1,2,3,4,5] => [2,3,4,5,10,6,7,8,9,1] => [5,4,1]
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [5,4,6,7,8,9,1,2,3] => [2,3,9,5,4,6,7,8,1] => [3,1,4,1]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [5,6,7,8,9,10,1,2,3,4] => [2,3,4,10,5,6,7,8,9,1] => [4,5,1]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [4,3,5,6,7,8,9,1,2] => [2,9,4,3,5,6,7,8,1] => [2,1,5,1]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [4,5,6,7,8,9,10,1,2,3] => [2,3,10,4,5,6,7,8,9,1] => [3,6,1]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,10,1,2] => [2,10,3,4,5,6,7,8,9,1] => [2,7,1]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [2,9,1,3,4,5,6,7,8] => [2,7]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [8,1,2,3,4,5,7,6,9] => [1,6,2]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [2,10,1,3,4,5,6,7,8,9] => [2,8]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [10,1,2,3,4,5,6,7,8,9,11] => [1,10]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [9,1,2,3,4,5,6,8,7,10] => [1,7,2]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [8,1,2,3,4,7,6,5,9] => [1,5,1,2]
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [9,7,8,6,5,4,3,1,2] => [2,9,1,3,4,5,8,6,7] => [2,5,2]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [11,10,9,8,7,6,5,4,3,1,2] => [2,11,1,3,4,5,6,7,8,9,10] => [2,9]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1]
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [7,6,8,5,9,4,10,2,1,3] => [3,1,10,9,8,7,6,5,4,2] => [1,2,1,1,1,1,1,1,1]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [10,5,4,6,3,7,2,8,1,9] => [9,8,7,6,4,3,2,1,10,5] => [1,1,1,1,1,1,1,2,1]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [12,11,10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1]
[[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [8,7,9,6,10,5,11,4,12,2,1,3] => [3,1,12,11,10,9,8,7,6,5,4,2] => [1,2,1,1,1,1,1,1,1,1,1]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => [10,9,11,8,12,4,3,5,2,6,1,7] => [7,6,5,3,2,1,12,11,10,9,8,4] => [1,1,1,1,1,2,1,1,1,1,1]
[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.] => [6,4,5,7,3,8,2,9,1,10] => [9,8,7,5,6,4,3,2,1,10] => [1,1,1,2,1,1,1,2]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,2,1,3] => [3,1,9,2,4,5,6,7,8] => [1,2,6]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [9,8,7,5,4,3,2,1,6] => [6,1,2,3,4,9,5,7,8] => [1,5,3]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [9,8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,9,6,8] => [1,6,2]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,9,7] => [1,7,1]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => [2,3,9,1,4,5,6,7,8] => [3,6]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,2,1,3] => [3,1,10,2,4,5,6,7,8,9] => [1,2,7]
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,2,3,1,4] => [4,3,1,9,2,5,6,7,8] => [1,1,2,5]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,3,2,1,4] => [4,1,2,10,3,5,6,7,8,9] => [1,3,6]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,4,3,2,1,5] => [5,1,2,3,10,4,6,7,8,9] => [1,4,5]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [9,6,7,5,4,3,2,1,8] => [8,1,2,3,4,7,5,9,6] => [1,5,2,1]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [10,9,7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,10,7,9] => [1,7,2]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,7,10,8] => [1,8,1]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [7,1,2,3,4,5,6,8,9] => [1,8]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [6,1,2,3,4,5,7,8,9] => [1,8]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => [1,8]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9] => [1,8]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => [1,8]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [1,8]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [8,1,2,3,4,5,6,7,9,10] => [1,9]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => [1,9]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => [1,9]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => [1,9]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => [1,9]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [4,3,1,2,5,6,7,8,9] => [2,4,1,3,5,6,7,8,9] => [2,7]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => [1,9]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [2,7]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [1,9]
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [9,8,7,5,6,4,3,2,1] => [9,1,2,3,6,4,5,7,8] => [1,4,4]
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,4,5,3,2,1] => [9,1,2,5,3,4,6,7,8] => [1,3,5]
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,3,4,2,1] => [9,1,4,2,3,5,6,7,8] => [1,2,6]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,2,3,1] => [9,3,1,2,4,5,6,7,8] => [1,1,7]
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,2,3,1] => [10,3,1,2,4,5,6,7,8,9] => [1,1,8]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [10,8,9,6,7,4,5,2,3,1] => [10,3,1,5,2,7,4,9,6,8] => [1,1,2,2,2,2]
[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]] => [10,8,6,7,4,5,2,3,1,9] => [9,3,1,5,2,7,4,6,10,8] => [1,1,2,2,3,1]
[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]] => [10,8,9,6,4,5,2,3,1,7] => [7,3,1,5,2,4,10,9,6,8] => [1,1,2,3,1,2]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]] => [12,10,11,8,9,6,7,4,5,2,3,1] => [12,3,1,5,2,7,4,9,6,11,8,10] => [1,1,2,2,2,2,2]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [9,2,3,4,5,6,7,8,1] => [9,3,4,5,6,7,8,1,2] => [1,6,2]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [1,10]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [8,2,1,3,4,5,6,7,9] => [3,1,4,5,6,7,8,2,9] => [1,6,2]
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [8,2,3,4,5,6,7,9,1] => [9,3,4,5,6,7,8,2,1] => [1,6,1,1]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [10,2,3,4,5,6,7,8,9,1] => [10,3,4,5,6,7,8,9,1,2] => [1,7,2]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [4,2,1,3,5,6,7,8,9] => [3,1,4,2,5,6,7,8,9] => [1,2,6]
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [5,3,2,1,4,6,7,8,9] => [4,1,2,5,3,6,7,8,9] => [1,3,5]
[[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.] => [6,4,3,2,1,5,7,8,9] => [5,1,2,3,6,4,7,8,9] => [1,4,4]
[[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.] => [7,5,4,3,2,1,6,8,9] => [6,1,2,3,4,7,5,8,9] => [1,5,3]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [8,6,5,4,3,2,1,7,9] => [7,1,2,3,4,5,8,6,9] => [1,6,2]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [9,8,3,4,5,6,7,2,1] => [1,1,5,1,1]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [8,2,3,4,5,6,7,1,9] => [1,6,2]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [1,1,7]
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [2,3,4,5,1,6,7,8,9] => [5,2,3,4,1,6,7,8,9] => [1,3,5]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,2,3,4,5,6,1,8,9] => [1,5,3]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [4,2,3,1,5,6,7,8,9] => [4,3,1,2,5,6,7,8,9] => [1,1,7]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [9,2,3,4,5,6,7,8,1,10] => [1,7,2]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => [3,6]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [5,1,2,3,4,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [4,5]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [6,1,2,3,4,5,7,8,9] => [2,3,4,5,6,1,7,8,9] => [5,4]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [2,3,4,5,6,7,1,8,9] => [6,3]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [2,3,4,5,6,7,8,1,9] => [7,2]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [2,8]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10] => [3,7]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [5,1,2,3,4,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10] => [4,6]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10] => [5,5]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [7,1,2,3,4,5,6,8,9,10] => [2,3,4,5,6,7,1,8,9,10] => [6,4]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [8,1,2,3,4,5,6,7,9,10] => [2,3,4,5,6,7,8,1,9,10] => [7,3]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [2,3,4,5,6,7,8,9,1,10] => [8,2]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [9,3,4,5,6,7,8,1,2] => [2,9,4,5,6,7,8,1,3] => [2,5,2]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [9,7,6,5,4,3,2,8,1] => [9,8,2,3,4,5,6,1,7] => [1,1,5,2]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [9,7,6,5,4,3,1,2,8] => [2,8,1,3,4,5,6,9,7] => [2,6,1]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [11]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => [2,3,10,1,4,5,6,7,8,9] => [3,7]
[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,3,1,2,4] => [2,4,1,9,3,5,6,7,8] => [2,2,5]
[.,[[[[[[.,.],.],.],.],[[.,.],.]],.]] => [7,8,2,3,4,5,6,9,1] => [9,3,4,5,6,8,7,2,1] => [1,5,1,1,1]
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [4,5,1,2,3,6,7,8,9] => [2,3,5,4,1,6,7,8,9] => [3,1,5]
[[[[.,[[[[.,.],.],.],.]],.],.],[.,.]] => [9,2,3,4,5,1,6,7,8] => [6,3,4,5,1,7,8,9,2] => [1,3,4,1]
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [5,3,1,2,4,6,7,8,9] => [2,4,1,5,3,6,7,8,9] => [2,2,5]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [10,8,7,6,5,4,3,2,9,1] => [10,9,2,3,4,5,6,7,1,8] => [1,1,6,2]
[[.,.],[.,[[[[[[.,.],.],.],.],.],.]]] => [4,5,6,7,8,9,3,1,2] => [2,9,1,4,5,6,7,8,3] => [2,6,1]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [3,4,5,6,7,8,1,2,9] => [2,8,3,4,5,6,7,1,9] => [2,5,2]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,10,1,9] => [8,2]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] => [10,9,8,7,6,5,4,3,2,11,1] => [11,10,2,3,4,5,6,7,8,9,1] => [1,1,8,1]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => [2,3,4,5,6,9,1,7,8] => [6,3]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => [2,3,4,5,9,1,6,7,8] => [5,4]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => [2,3,4,9,1,5,6,7,8] => [4,5]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [9,7,1,2,3,4,5,6,8] => [2,3,4,5,6,8,1,9,7] => [6,2,1]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,10,1,8,9] => [7,3]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => [2,3,4,5,6,10,1,7,8,9] => [6,4]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => [2,3,4,5,10,1,6,7,8,9] => [5,5]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => [2,3,4,10,1,5,6,7,8,9] => [4,6]
[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.] => [3,2,4,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => [1,1,1,6]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [11,1,2,3,4,5,6,7,8,10,9] => [1,9,1]
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [4,1,3,2,5,6,7,8,9] => [1,2,6]
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [8,7,2,3,4,5,6,1,9] => [1,1,5,2]
[[[[[.,[.,[.,[.,.]]]],.],.],.],[.,.]] => [9,4,3,2,1,5,6,7,8] => [5,1,2,3,6,7,8,9,4] => [1,7,1]
[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.] => [8,7,1,2,3,4,5,6,9] => [2,3,4,5,6,8,1,7,9] => [6,3]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [9,7,6,5,4,3,2,1,8,10] => [8,1,2,3,4,5,6,9,7,10] => [1,7,2]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [9,2,3,4,5,6,7,1,8] => [8,3,4,5,6,7,1,9,2] => [1,5,2,1]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [3,4,1,2,5,6,7,8,9] => [2,4,3,1,5,6,7,8,9] => [2,1,6]
[.,[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,9,2,10,1] => [10,9,3,4,5,6,7,8,2,1] => [1,1,6,1,1]
[.,[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]] => [4,5,6,7,8,9,10,2,3,1] => [10,3,1,4,5,6,7,8,9,2] => [1,1,7,1]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]] => [10,11,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,11,10,1] => [9,1,1]
[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]] => [9,8,2,3,4,5,6,7,1] => [9,3,4,5,6,7,1,2,8] => [1,5,3]
[.,[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]] => [10,9,2,3,4,5,6,7,8,1] => [10,3,4,5,6,7,8,1,2,9] => [1,6,3]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] => [10,3,1,2,4,5,6,7,8,9] => [2,4,1,5,6,7,8,9,10,3] => [2,7,1]
[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]] => [9,2,3,4,5,6,1,7,8] => [7,3,4,5,6,1,8,9,2] => [1,4,3,1]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [10,8,7,6,5,4,3,1,2,9] => [2,9,1,3,4,5,6,7,10,8] => [2,7,1]
[[.,[[[[[.,.],.],.],.],.]],[.,[.,.]]] => [9,8,2,3,4,5,6,1,7] => [7,3,4,5,6,1,9,2,8] => [1,4,2,2]
[.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]] => [9,3,4,5,6,7,8,2,1] => [9,1,4,5,6,7,8,2,3] => [1,6,2]
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
first fundamental transformation
Description
Return the permutation whose cycles are the subsequences between successive left to right maxima.
Map
descent composition
Description
The descent composition of a permutation.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.
searching the database
Sorry, this map was not found in the database.