Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00089: Permutations —Inverse Kreweras complement⟶ Permutations
Mp00237: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00089: Permutations —Inverse Kreweras complement⟶ Permutations
Mp00237: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Images
[.,.] => [1] => [1] => [1]
[.,[.,.]] => [2,1] => [1,2] => [1,2]
[[.,.],.] => [1,2] => [2,1] => [2,1]
[.,[.,[.,.]]] => [3,2,1] => [2,1,3] => [2,1,3]
[.,[[.,.],.]] => [2,3,1] => [1,2,3] => [1,2,3]
[[.,.],[.,.]] => [3,1,2] => [3,1,2] => [3,1,2]
[[.,[.,.]],.] => [2,1,3] => [1,3,2] => [1,3,2]
[[[.,.],.],.] => [1,2,3] => [2,3,1] => [3,2,1]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [3,2,1,4] => [2,3,1,4]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [3,1,2,4] => [3,1,2,4]
[.,[[.,.],[.,.]]] => [4,2,3,1] => [2,3,1,4] => [3,2,1,4]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [2,1,3,4] => [2,1,3,4]
[.,[[[.,.],.],.]] => [2,3,4,1] => [1,2,3,4] => [1,2,3,4]
[[.,.],[.,[.,.]]] => [4,3,1,2] => [4,2,1,3] => [2,4,1,3]
[[.,.],[[.,.],.]] => [3,4,1,2] => [4,1,2,3] => [4,1,2,3]
[[.,[.,.]],[.,.]] => [4,2,1,3] => [2,4,1,3] => [4,2,1,3]
[[[.,.],.],[.,.]] => [4,1,2,3] => [3,4,1,2] => [4,1,3,2]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [2,1,4,3] => [2,1,4,3]
[[.,[[.,.],.]],.] => [2,3,1,4] => [1,2,4,3] => [1,2,4,3]
[[[.,.],[.,.]],.] => [3,1,2,4] => [3,1,4,2] => [3,4,1,2]
[[[.,[.,.]],.],.] => [2,1,3,4] => [1,3,4,2] => [1,4,3,2]
[[[[.,.],.],.],.] => [1,2,3,4] => [2,3,4,1] => [4,2,3,1]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [4,3,2,1,5] => [2,3,4,1,5]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [4,3,1,2,5] => [3,1,4,2,5]
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [4,2,3,1,5] => [3,4,2,1,5]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [4,2,1,3,5] => [2,4,1,3,5]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [4,1,2,3,5] => [4,1,2,3,5]
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [3,4,2,1,5] => [2,4,3,1,5]
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [3,4,1,2,5] => [4,1,3,2,5]
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [3,2,4,1,5] => [4,3,2,1,5]
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [2,3,4,1,5] => [4,2,3,1,5]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [3,2,1,4,5] => [2,3,1,4,5]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [3,1,2,4,5] => [3,1,2,4,5]
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [2,3,1,4,5] => [3,2,1,4,5]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [2,1,3,4,5] => [2,1,3,4,5]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [1,2,3,4,5] => [1,2,3,4,5]
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [5,3,2,1,4] => [2,3,5,1,4]
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [5,3,1,2,4] => [3,1,5,2,4]
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [5,2,3,1,4] => [3,5,2,1,4]
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [5,2,1,3,4] => [2,5,1,3,4]
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [5,1,2,3,4] => [5,1,2,3,4]
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [3,5,2,1,4] => [2,5,3,1,4]
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [3,5,1,2,4] => [5,1,3,2,4]
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [4,5,2,1,3] => [2,5,1,4,3]
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [4,5,1,2,3] => [5,1,2,4,3]
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [3,2,5,1,4] => [5,3,2,1,4]
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [2,3,5,1,4] => [5,2,3,1,4]
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [4,2,5,1,3] => [5,4,1,2,3]
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [2,4,5,1,3] => [5,2,1,4,3]
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [3,4,5,1,2] => [5,1,3,4,2]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [3,2,1,5,4] => [2,3,1,5,4]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [3,1,2,5,4] => [3,1,2,5,4]
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [2,3,1,5,4] => [3,2,1,5,4]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [2,1,3,5,4] => [2,1,3,5,4]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [1,2,3,5,4] => [1,2,3,5,4]
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [4,2,1,5,3] => [2,4,5,1,3]
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [4,1,2,5,3] => [4,1,5,2,3]
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [2,4,1,5,3] => [4,2,5,1,3]
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [3,4,1,5,2] => [4,5,3,1,2]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [2,1,4,5,3] => [2,1,5,4,3]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [1,2,4,5,3] => [1,2,5,4,3]
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [3,1,4,5,2] => [3,5,1,4,2]
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [1,3,4,5,2] => [1,5,3,4,2]
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [2,3,4,5,1] => [5,2,3,4,1]
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [5,4,3,2,1,6] => [2,3,4,5,1,6]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [5,4,3,1,2,6] => [3,1,4,5,2,6]
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [5,4,2,3,1,6] => [3,4,2,5,1,6]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [5,4,2,1,3,6] => [2,4,1,5,3,6]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [5,4,1,2,3,6] => [4,1,2,5,3,6]
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [5,3,4,2,1,6] => [2,4,5,3,1,6]
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [5,3,4,1,2,6] => [4,1,5,3,2,6]
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [5,3,2,4,1,6] => [4,3,5,2,1,6]
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [5,2,3,4,1,6] => [4,5,2,3,1,6]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [5,3,2,1,4,6] => [2,3,5,1,4,6]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [5,3,1,2,4,6] => [3,1,5,2,4,6]
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [5,2,3,1,4,6] => [3,5,2,1,4,6]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [5,2,1,3,4,6] => [2,5,1,3,4,6]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [5,1,2,3,4,6] => [5,1,2,3,4,6]
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [4,5,3,2,1,6] => [2,3,5,4,1,6]
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [4,5,3,1,2,6] => [3,1,5,4,2,6]
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [4,5,2,3,1,6] => [3,5,2,4,1,6]
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [4,5,2,1,3,6] => [2,5,1,4,3,6]
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [4,5,1,2,3,6] => [5,1,2,4,3,6]
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [4,3,5,2,1,6] => [2,5,4,3,1,6]
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [4,3,5,1,2,6] => [5,1,4,3,2,6]
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [3,4,5,2,1,6] => [2,5,3,4,1,6]
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [3,4,5,1,2,6] => [5,1,3,4,2,6]
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [4,3,2,5,1,6] => [5,3,4,2,1,6]
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [4,2,3,5,1,6] => [5,4,2,3,1,6]
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [3,4,2,5,1,6] => [5,4,3,2,1,6]
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [3,2,4,5,1,6] => [5,3,2,4,1,6]
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [2,3,4,5,1,6] => [5,2,3,4,1,6]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [4,3,2,1,5,6] => [2,3,4,1,5,6]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [4,3,1,2,5,6] => [3,1,4,2,5,6]
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [4,2,3,1,5,6] => [3,4,2,1,5,6]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [4,2,1,3,5,6] => [2,4,1,3,5,6]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [4,1,2,3,5,6] => [4,1,2,3,5,6]
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [3,4,2,1,5,6] => [2,4,3,1,5,6]
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [3,4,1,2,5,6] => [4,1,3,2,5,6]
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [3,2,4,1,5,6] => [4,3,2,1,5,6]
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [2,3,4,1,5,6] => [4,2,3,1,5,6]
>>> Load all 1741 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [3,2,1,4,5,6] => [2,3,1,4,5,6]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [3,1,2,4,5,6] => [3,1,2,4,5,6]
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [2,3,1,4,5,6] => [3,2,1,4,5,6]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [2,1,3,4,5,6] => [2,1,3,4,5,6]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6]
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [6,4,3,2,1,5] => [2,3,4,6,1,5]
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [6,4,3,1,2,5] => [3,1,4,6,2,5]
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [6,4,2,3,1,5] => [3,4,2,6,1,5]
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [6,4,2,1,3,5] => [2,4,1,6,3,5]
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [6,4,1,2,3,5] => [4,1,2,6,3,5]
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [6,3,4,2,1,5] => [2,4,6,3,1,5]
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [6,3,4,1,2,5] => [4,1,6,3,2,5]
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [6,3,2,4,1,5] => [4,3,6,2,1,5]
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [6,2,3,4,1,5] => [4,6,2,3,1,5]
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [6,3,2,1,4,5] => [2,3,6,1,4,5]
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [6,3,1,2,4,5] => [3,1,6,2,4,5]
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [6,2,3,1,4,5] => [3,6,2,1,4,5]
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [6,2,1,3,4,5] => [2,6,1,3,4,5]
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [6,1,2,3,4,5] => [6,1,2,3,4,5]
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [4,6,3,2,1,5] => [2,3,6,4,1,5]
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [4,6,3,1,2,5] => [3,1,6,4,2,5]
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [4,6,2,3,1,5] => [3,6,2,4,1,5]
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [4,6,2,1,3,5] => [2,6,1,4,3,5]
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [4,6,1,2,3,5] => [6,1,2,4,3,5]
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [5,6,3,2,1,4] => [2,3,6,1,5,4]
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [5,6,3,1,2,4] => [3,1,6,2,5,4]
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [5,6,2,3,1,4] => [3,6,2,1,5,4]
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [5,6,2,1,3,4] => [2,6,1,3,5,4]
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [5,6,1,2,3,4] => [6,1,2,3,5,4]
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [4,3,6,2,1,5] => [2,6,4,3,1,5]
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [4,3,6,1,2,5] => [6,1,4,3,2,5]
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [3,4,6,2,1,5] => [2,6,3,4,1,5]
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [3,4,6,1,2,5] => [6,1,3,4,2,5]
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [5,3,6,2,1,4] => [2,6,5,1,3,4]
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [5,3,6,1,2,4] => [6,1,5,2,3,4]
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [3,5,6,2,1,4] => [2,6,3,1,5,4]
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [3,5,6,1,2,4] => [6,1,3,2,5,4]
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [4,5,6,2,1,3] => [2,6,1,4,5,3]
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [4,5,6,1,2,3] => [6,1,2,4,5,3]
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [4,3,2,6,1,5] => [6,3,4,2,1,5]
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [4,2,3,6,1,5] => [6,4,2,3,1,5]
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [3,4,2,6,1,5] => [6,4,3,2,1,5]
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [3,2,4,6,1,5] => [6,3,2,4,1,5]
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [2,3,4,6,1,5] => [6,2,3,4,1,5]
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [5,3,2,6,1,4] => [6,3,5,1,2,4]
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [5,2,3,6,1,4] => [6,5,2,1,3,4]
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [3,5,2,6,1,4] => [6,5,3,1,2,4]
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [4,5,2,6,1,3] => [6,5,1,4,2,3]
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [3,2,5,6,1,4] => [6,3,2,1,5,4]
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [2,3,5,6,1,4] => [6,2,3,1,5,4]
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [4,2,5,6,1,3] => [6,4,1,2,5,3]
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [2,4,5,6,1,3] => [6,2,1,4,5,3]
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [3,4,5,6,1,2] => [6,1,3,4,5,2]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [4,3,2,1,6,5] => [2,3,4,1,6,5]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [4,3,1,2,6,5] => [3,1,4,2,6,5]
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [4,2,3,1,6,5] => [3,4,2,1,6,5]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [4,2,1,3,6,5] => [2,4,1,3,6,5]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [4,1,2,3,6,5] => [4,1,2,3,6,5]
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [3,4,2,1,6,5] => [2,4,3,1,6,5]
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [3,4,1,2,6,5] => [4,1,3,2,6,5]
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [3,2,4,1,6,5] => [4,3,2,1,6,5]
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [2,3,4,1,6,5] => [4,2,3,1,6,5]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [3,2,1,4,6,5] => [2,3,1,4,6,5]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [3,1,2,4,6,5] => [3,1,2,4,6,5]
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [2,3,1,4,6,5] => [3,2,1,4,6,5]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [2,1,3,4,6,5] => [2,1,3,4,6,5]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [1,2,3,4,6,5] => [1,2,3,4,6,5]
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [5,3,2,1,6,4] => [2,3,5,6,1,4]
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [5,3,1,2,6,4] => [3,1,5,6,2,4]
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [5,2,3,1,6,4] => [3,5,2,6,1,4]
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [5,2,1,3,6,4] => [2,5,1,6,3,4]
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [5,1,2,3,6,4] => [5,1,2,6,3,4]
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [3,5,2,1,6,4] => [2,5,3,6,1,4]
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [3,5,1,2,6,4] => [5,1,3,6,2,4]
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [4,5,2,1,6,3] => [2,5,6,4,1,3]
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [4,5,1,2,6,3] => [5,1,6,4,2,3]
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [3,2,5,1,6,4] => [5,3,2,6,1,4]
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [2,3,5,1,6,4] => [5,2,3,6,1,4]
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [4,2,5,1,6,3] => [5,4,6,2,1,3]
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [2,4,5,1,6,3] => [5,2,6,4,1,3]
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [3,4,5,1,6,2] => [5,6,3,4,1,2]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [3,2,1,5,6,4] => [2,3,1,6,5,4]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [3,1,2,5,6,4] => [3,1,2,6,5,4]
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [2,3,1,5,6,4] => [3,2,1,6,5,4]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [2,1,3,5,6,4] => [2,1,3,6,5,4]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [1,2,3,5,6,4] => [1,2,3,6,5,4]
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [4,2,1,5,6,3] => [2,4,6,1,5,3]
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [4,1,2,5,6,3] => [4,1,6,2,5,3]
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [2,4,1,5,6,3] => [4,2,6,1,5,3]
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [3,4,1,5,6,2] => [4,6,3,1,5,2]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [2,1,4,5,6,3] => [2,1,6,4,5,3]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [1,2,4,5,6,3] => [1,2,6,4,5,3]
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [3,1,4,5,6,2] => [3,6,1,4,5,2]
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [1,3,4,5,6,2] => [1,6,3,4,5,2]
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [6,2,3,4,5,1]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [6,5,4,3,2,1,7] => [2,3,4,5,6,1,7]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [6,5,4,3,1,2,7] => [3,1,4,5,6,2,7]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [6,5,4,2,3,1,7] => [3,4,2,5,6,1,7]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [6,5,4,2,1,3,7] => [2,4,1,5,6,3,7]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [6,5,4,1,2,3,7] => [4,1,2,5,6,3,7]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [6,5,3,4,2,1,7] => [2,4,5,3,6,1,7]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [6,5,3,4,1,2,7] => [4,1,5,3,6,2,7]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [6,5,3,2,4,1,7] => [4,3,5,2,6,1,7]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [6,5,2,3,4,1,7] => [4,5,2,3,6,1,7]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [6,5,3,2,1,4,7] => [2,3,5,1,6,4,7]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [6,5,3,1,2,4,7] => [3,1,5,2,6,4,7]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [6,5,2,3,1,4,7] => [3,5,2,1,6,4,7]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [6,5,2,1,3,4,7] => [2,5,1,3,6,4,7]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [6,5,1,2,3,4,7] => [5,1,2,3,6,4,7]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [6,4,5,3,2,1,7] => [2,3,5,6,4,1,7]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [6,4,5,3,1,2,7] => [3,1,5,6,4,2,7]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [6,4,5,2,3,1,7] => [3,5,2,6,4,1,7]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [6,4,5,2,1,3,7] => [2,5,1,6,4,3,7]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [6,4,5,1,2,3,7] => [5,1,2,6,4,3,7]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [6,4,3,5,2,1,7] => [2,5,4,6,3,1,7]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [6,4,3,5,1,2,7] => [5,1,4,6,3,2,7]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [6,3,4,5,2,1,7] => [2,5,6,3,4,1,7]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [6,3,4,5,1,2,7] => [5,1,6,3,4,2,7]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [6,4,3,2,5,1,7] => [5,3,4,6,2,1,7]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [6,4,2,3,5,1,7] => [5,4,2,6,3,1,7]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [6,3,4,2,5,1,7] => [5,4,6,3,2,1,7]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [6,3,2,4,5,1,7] => [5,3,6,2,4,1,7]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [6,2,3,4,5,1,7] => [5,6,2,3,4,1,7]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [6,4,3,2,1,5,7] => [2,3,4,6,1,5,7]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [6,4,3,1,2,5,7] => [3,1,4,6,2,5,7]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [6,4,2,3,1,5,7] => [3,4,2,6,1,5,7]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [6,4,2,1,3,5,7] => [2,4,1,6,3,5,7]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [6,4,1,2,3,5,7] => [4,1,2,6,3,5,7]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [6,3,4,2,1,5,7] => [2,4,6,3,1,5,7]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [6,3,4,1,2,5,7] => [4,1,6,3,2,5,7]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [6,3,2,4,1,5,7] => [4,3,6,2,1,5,7]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [6,2,3,4,1,5,7] => [4,6,2,3,1,5,7]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [6,3,2,1,4,5,7] => [2,3,6,1,4,5,7]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [6,3,1,2,4,5,7] => [3,1,6,2,4,5,7]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [6,2,3,1,4,5,7] => [3,6,2,1,4,5,7]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [6,2,1,3,4,5,7] => [2,6,1,3,4,5,7]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [5,6,4,3,2,1,7] => [2,3,4,6,5,1,7]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [5,6,4,3,1,2,7] => [3,1,4,6,5,2,7]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [5,6,4,2,3,1,7] => [3,4,2,6,5,1,7]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [5,6,4,2,1,3,7] => [2,4,1,6,5,3,7]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [5,6,4,1,2,3,7] => [4,1,2,6,5,3,7]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [5,6,3,4,2,1,7] => [2,4,6,3,5,1,7]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [5,6,3,4,1,2,7] => [4,1,6,3,5,2,7]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [5,6,3,2,4,1,7] => [4,3,6,2,5,1,7]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [5,6,2,3,4,1,7] => [4,6,2,3,5,1,7]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [5,6,3,2,1,4,7] => [2,3,6,1,5,4,7]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [5,6,3,1,2,4,7] => [3,1,6,2,5,4,7]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [5,6,2,3,1,4,7] => [3,6,2,1,5,4,7]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [5,6,2,1,3,4,7] => [2,6,1,3,5,4,7]
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [5,6,1,2,3,4,7] => [6,1,2,3,5,4,7]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [5,4,6,3,2,1,7] => [2,3,6,5,4,1,7]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [5,4,6,3,1,2,7] => [3,1,6,5,4,2,7]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [5,4,6,2,3,1,7] => [3,6,2,5,4,1,7]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [5,4,6,2,1,3,7] => [2,6,1,5,4,3,7]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [5,4,6,1,2,3,7] => [6,1,2,5,4,3,7]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [4,5,6,3,2,1,7] => [2,3,6,4,5,1,7]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [4,5,6,3,1,2,7] => [3,1,6,4,5,2,7]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [4,5,6,2,3,1,7] => [3,6,2,4,5,1,7]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [4,5,6,2,1,3,7] => [2,6,1,4,5,3,7]
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [4,5,6,1,2,3,7] => [6,1,2,4,5,3,7]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [5,4,3,6,2,1,7] => [2,6,4,5,3,1,7]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [5,4,3,6,1,2,7] => [6,1,4,5,3,2,7]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [5,3,4,6,2,1,7] => [2,6,5,3,4,1,7]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [5,3,4,6,1,2,7] => [6,1,5,3,4,2,7]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [4,5,3,6,2,1,7] => [2,6,5,4,3,1,7]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [4,5,3,6,1,2,7] => [6,1,5,4,3,2,7]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [4,3,5,6,2,1,7] => [2,6,4,3,5,1,7]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [4,3,5,6,1,2,7] => [6,1,4,3,5,2,7]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [3,4,5,6,2,1,7] => [2,6,3,4,5,1,7]
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [3,4,5,6,1,2,7] => [6,1,3,4,5,2,7]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [5,4,3,2,6,1,7] => [6,3,4,5,2,1,7]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [5,4,2,3,6,1,7] => [6,4,2,5,3,1,7]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [5,3,4,2,6,1,7] => [6,4,5,3,2,1,7]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [5,3,2,4,6,1,7] => [6,3,5,2,4,1,7]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [5,2,3,4,6,1,7] => [6,5,2,3,4,1,7]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [4,5,3,2,6,1,7] => [6,3,5,4,2,1,7]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [4,5,2,3,6,1,7] => [6,5,2,4,3,1,7]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [4,3,5,2,6,1,7] => [6,5,4,3,2,1,7]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [3,4,5,2,6,1,7] => [6,5,3,4,2,1,7]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [4,3,2,5,6,1,7] => [6,3,4,2,5,1,7]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [4,2,3,5,6,1,7] => [6,4,2,3,5,1,7]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [3,4,2,5,6,1,7] => [6,4,3,2,5,1,7]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [3,2,4,5,6,1,7] => [6,3,2,4,5,1,7]
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [2,3,4,5,6,1,7] => [6,2,3,4,5,1,7]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [5,4,3,2,1,6,7] => [2,3,4,5,1,6,7]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [5,4,3,1,2,6,7] => [3,1,4,5,2,6,7]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [5,4,2,3,1,6,7] => [3,4,2,5,1,6,7]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [5,4,2,1,3,6,7] => [2,4,1,5,3,6,7]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [5,4,1,2,3,6,7] => [4,1,2,5,3,6,7]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [5,3,4,2,1,6,7] => [2,4,5,3,1,6,7]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [5,3,4,1,2,6,7] => [4,1,5,3,2,6,7]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [5,3,2,4,1,6,7] => [4,3,5,2,1,6,7]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [5,2,3,4,1,6,7] => [4,5,2,3,1,6,7]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [5,3,2,1,4,6,7] => [2,3,5,1,4,6,7]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [5,3,1,2,4,6,7] => [3,1,5,2,4,6,7]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [5,2,3,1,4,6,7] => [3,5,2,1,4,6,7]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [5,2,1,3,4,6,7] => [2,5,1,3,4,6,7]
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [4,5,3,2,1,6,7] => [2,3,5,4,1,6,7]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [4,5,3,1,2,6,7] => [3,1,5,4,2,6,7]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [4,5,2,3,1,6,7] => [3,5,2,4,1,6,7]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [4,5,2,1,3,6,7] => [2,5,1,4,3,6,7]
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [4,5,1,2,3,6,7] => [5,1,2,4,3,6,7]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [4,3,5,2,1,6,7] => [2,5,4,3,1,6,7]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [4,3,5,1,2,6,7] => [5,1,4,3,2,6,7]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [3,4,5,2,1,6,7] => [2,5,3,4,1,6,7]
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [3,4,5,1,2,6,7] => [5,1,3,4,2,6,7]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [4,3,2,5,1,6,7] => [5,3,4,2,1,6,7]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [4,2,3,5,1,6,7] => [5,4,2,3,1,6,7]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [3,4,2,5,1,6,7] => [5,4,3,2,1,6,7]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [3,2,4,5,1,6,7] => [5,3,2,4,1,6,7]
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [2,3,4,5,1,6,7] => [5,2,3,4,1,6,7]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [4,3,2,1,5,6,7] => [2,3,4,1,5,6,7]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [4,3,1,2,5,6,7] => [3,1,4,2,5,6,7]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [4,2,3,1,5,6,7] => [3,4,2,1,5,6,7]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [4,2,1,3,5,6,7] => [2,4,1,3,5,6,7]
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [3,4,2,1,5,6,7] => [2,4,3,1,5,6,7]
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [3,4,1,2,5,6,7] => [4,1,3,2,5,6,7]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [3,2,4,1,5,6,7] => [4,3,2,1,5,6,7]
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [2,3,4,1,5,6,7] => [4,2,3,1,5,6,7]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7]
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [2,3,1,4,5,6,7] => [3,2,1,4,5,6,7]
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7]
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [7,5,4,3,2,1,6] => [2,3,4,5,7,1,6]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [7,5,4,3,1,2,6] => [3,1,4,5,7,2,6]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [7,5,4,2,3,1,6] => [3,4,2,5,7,1,6]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [7,5,4,2,1,3,6] => [2,4,1,5,7,3,6]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [7,5,4,1,2,3,6] => [4,1,2,5,7,3,6]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [7,5,3,4,2,1,6] => [2,4,5,3,7,1,6]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [7,5,3,4,1,2,6] => [4,1,5,3,7,2,6]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [7,5,3,2,4,1,6] => [4,3,5,2,7,1,6]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [7,5,2,3,4,1,6] => [4,5,2,3,7,1,6]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [7,5,3,2,1,4,6] => [2,3,5,1,7,4,6]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [7,5,3,1,2,4,6] => [3,1,5,2,7,4,6]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [7,5,2,3,1,4,6] => [3,5,2,1,7,4,6]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [7,5,2,1,3,4,6] => [2,5,1,3,7,4,6]
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [7,5,1,2,3,4,6] => [5,1,2,3,7,4,6]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [7,4,5,3,2,1,6] => [2,3,5,7,4,1,6]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [7,4,5,3,1,2,6] => [3,1,5,7,4,2,6]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [7,4,5,2,3,1,6] => [3,5,2,7,4,1,6]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [7,4,5,2,1,3,6] => [2,5,1,7,4,3,6]
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [7,4,5,1,2,3,6] => [5,1,2,7,4,3,6]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [7,4,3,5,2,1,6] => [2,5,4,7,3,1,6]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [7,4,3,5,1,2,6] => [5,1,4,7,3,2,6]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [7,3,4,5,2,1,6] => [2,5,7,3,4,1,6]
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [7,3,4,5,1,2,6] => [5,1,7,3,4,2,6]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [7,4,3,2,5,1,6] => [5,3,4,7,2,1,6]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [7,4,2,3,5,1,6] => [5,4,2,7,3,1,6]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [7,3,4,2,5,1,6] => [5,4,7,3,2,1,6]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [7,3,2,4,5,1,6] => [5,3,7,2,4,1,6]
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [7,2,3,4,5,1,6] => [5,7,2,3,4,1,6]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [7,4,3,2,1,5,6] => [2,3,4,7,1,5,6]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [7,4,3,1,2,5,6] => [3,1,4,7,2,5,6]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [7,4,2,3,1,5,6] => [3,4,2,7,1,5,6]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [7,4,2,1,3,5,6] => [2,4,1,7,3,5,6]
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [7,4,1,2,3,5,6] => [4,1,2,7,3,5,6]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [7,3,4,2,1,5,6] => [2,4,7,3,1,5,6]
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [7,3,4,1,2,5,6] => [4,1,7,3,2,5,6]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [7,3,2,4,1,5,6] => [4,3,7,2,1,5,6]
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [7,2,3,4,1,5,6] => [4,7,2,3,1,5,6]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [7,3,2,1,4,5,6] => [2,3,7,1,4,5,6]
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [7,3,1,2,4,5,6] => [3,1,7,2,4,5,6]
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [7,2,3,1,4,5,6] => [3,7,2,1,4,5,6]
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [7,2,1,3,4,5,6] => [2,7,1,3,4,5,6]
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [5,7,4,3,2,1,6] => [2,3,4,7,5,1,6]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [5,7,4,3,1,2,6] => [3,1,4,7,5,2,6]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [5,7,4,2,3,1,6] => [3,4,2,7,5,1,6]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [5,7,4,2,1,3,6] => [2,4,1,7,5,3,6]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [5,7,4,1,2,3,6] => [4,1,2,7,5,3,6]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [5,7,3,4,2,1,6] => [2,4,7,3,5,1,6]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [5,7,3,4,1,2,6] => [4,1,7,3,5,2,6]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [5,7,3,2,4,1,6] => [4,3,7,2,5,1,6]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [5,7,2,3,4,1,6] => [4,7,2,3,5,1,6]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [5,7,3,2,1,4,6] => [2,3,7,1,5,4,6]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [5,7,3,1,2,4,6] => [3,1,7,2,5,4,6]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [5,7,2,3,1,4,6] => [3,7,2,1,5,4,6]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [5,7,2,1,3,4,6] => [2,7,1,3,5,4,6]
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [5,7,1,2,3,4,6] => [7,1,2,3,5,4,6]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [6,7,4,3,2,1,5] => [2,3,4,7,1,6,5]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [6,7,4,3,1,2,5] => [3,1,4,7,2,6,5]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [6,7,4,2,3,1,5] => [3,4,2,7,1,6,5]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [6,7,4,2,1,3,5] => [2,4,1,7,3,6,5]
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [6,7,4,1,2,3,5] => [4,1,2,7,3,6,5]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [6,7,3,4,2,1,5] => [2,4,7,3,1,6,5]
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [6,7,3,4,1,2,5] => [4,1,7,3,2,6,5]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [6,7,3,2,4,1,5] => [4,3,7,2,1,6,5]
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [6,7,2,3,4,1,5] => [4,7,2,3,1,6,5]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [6,7,3,2,1,4,5] => [2,3,7,1,4,6,5]
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [6,7,3,1,2,4,5] => [3,1,7,2,4,6,5]
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [6,7,2,3,1,4,5] => [3,7,2,1,4,6,5]
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [6,7,2,1,3,4,5] => [2,7,1,3,4,6,5]
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [6,7,1,2,3,4,5] => [7,1,2,3,4,6,5]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [5,4,7,3,2,1,6] => [2,3,7,5,4,1,6]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [5,4,7,3,1,2,6] => [3,1,7,5,4,2,6]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [5,4,7,2,3,1,6] => [3,7,2,5,4,1,6]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [5,4,7,2,1,3,6] => [2,7,1,5,4,3,6]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [5,4,7,1,2,3,6] => [7,1,2,5,4,3,6]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [4,5,7,3,2,1,6] => [2,3,7,4,5,1,6]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [4,5,7,3,1,2,6] => [3,1,7,4,5,2,6]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [4,5,7,2,3,1,6] => [3,7,2,4,5,1,6]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [4,5,7,2,1,3,6] => [2,7,1,4,5,3,6]
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [4,5,7,1,2,3,6] => [7,1,2,4,5,3,6]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [6,4,7,3,2,1,5] => [2,3,7,6,1,4,5]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [6,4,7,3,1,2,5] => [3,1,7,6,2,4,5]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [6,4,7,2,3,1,5] => [3,7,2,6,1,4,5]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [6,4,7,2,1,3,5] => [2,7,1,6,3,4,5]
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [6,4,7,1,2,3,5] => [7,1,2,6,3,4,5]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [4,6,7,3,2,1,5] => [2,3,7,4,1,6,5]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [4,6,7,3,1,2,5] => [3,1,7,4,2,6,5]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [4,6,7,2,3,1,5] => [3,7,2,4,1,6,5]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [4,6,7,2,1,3,5] => [2,7,1,4,3,6,5]
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [4,6,7,1,2,3,5] => [7,1,2,4,3,6,5]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [5,6,7,3,2,1,4] => [2,3,7,1,5,6,4]
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [5,6,7,3,1,2,4] => [3,1,7,2,5,6,4]
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [5,6,7,2,3,1,4] => [3,7,2,1,5,6,4]
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [5,6,7,2,1,3,4] => [2,7,1,3,5,6,4]
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [5,6,7,1,2,3,4] => [7,1,2,3,5,6,4]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [5,4,3,7,2,1,6] => [2,7,4,5,3,1,6]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [5,4,3,7,1,2,6] => [7,1,4,5,3,2,6]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [5,3,4,7,2,1,6] => [2,7,5,3,4,1,6]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [5,3,4,7,1,2,6] => [7,1,5,3,4,2,6]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [4,5,3,7,2,1,6] => [2,7,5,4,3,1,6]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [4,5,3,7,1,2,6] => [7,1,5,4,3,2,6]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [4,3,5,7,2,1,6] => [2,7,4,3,5,1,6]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [4,3,5,7,1,2,6] => [7,1,4,3,5,2,6]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [3,4,5,7,2,1,6] => [2,7,3,4,5,1,6]
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [3,4,5,7,1,2,6] => [7,1,3,4,5,2,6]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [6,4,3,7,2,1,5] => [2,7,4,6,1,3,5]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [6,4,3,7,1,2,5] => [7,1,4,6,2,3,5]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [6,3,4,7,2,1,5] => [2,7,6,3,1,4,5]
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [6,3,4,7,1,2,5] => [7,1,6,3,2,4,5]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [4,6,3,7,2,1,5] => [2,7,6,4,1,3,5]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [4,6,3,7,1,2,5] => [7,1,6,4,2,3,5]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [5,6,3,7,2,1,4] => [2,7,6,1,5,3,4]
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [5,6,3,7,1,2,4] => [7,1,6,2,5,3,4]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [4,3,6,7,2,1,5] => [2,7,4,3,1,6,5]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [4,3,6,7,1,2,5] => [7,1,4,3,2,6,5]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [3,4,6,7,2,1,5] => [2,7,3,4,1,6,5]
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [3,4,6,7,1,2,5] => [7,1,3,4,2,6,5]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [5,3,6,7,2,1,4] => [2,7,5,1,3,6,4]
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [5,3,6,7,1,2,4] => [7,1,5,2,3,6,4]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [3,5,6,7,2,1,4] => [2,7,3,1,5,6,4]
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [3,5,6,7,1,2,4] => [7,1,3,2,5,6,4]
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [4,5,6,7,2,1,3] => [2,7,1,4,5,6,3]
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [4,5,6,7,1,2,3] => [7,1,2,4,5,6,3]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [5,4,3,2,7,1,6] => [7,3,4,5,2,1,6]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [5,4,2,3,7,1,6] => [7,4,2,5,3,1,6]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [5,3,4,2,7,1,6] => [7,4,5,3,2,1,6]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [5,3,2,4,7,1,6] => [7,3,5,2,4,1,6]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [5,2,3,4,7,1,6] => [7,5,2,3,4,1,6]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [4,5,3,2,7,1,6] => [7,3,5,4,2,1,6]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [4,5,2,3,7,1,6] => [7,5,2,4,3,1,6]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [4,3,5,2,7,1,6] => [7,5,4,3,2,1,6]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [3,4,5,2,7,1,6] => [7,5,3,4,2,1,6]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [4,3,2,5,7,1,6] => [7,3,4,2,5,1,6]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [4,2,3,5,7,1,6] => [7,4,2,3,5,1,6]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [3,4,2,5,7,1,6] => [7,4,3,2,5,1,6]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [3,2,4,5,7,1,6] => [7,3,2,4,5,1,6]
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [2,3,4,5,7,1,6] => [7,2,3,4,5,1,6]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [6,4,3,2,7,1,5] => [7,3,4,6,1,2,5]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [6,4,2,3,7,1,5] => [7,4,2,6,1,3,5]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [6,3,4,2,7,1,5] => [7,4,6,3,1,2,5]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [6,3,2,4,7,1,5] => [7,3,6,2,1,4,5]
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [6,2,3,4,7,1,5] => [7,6,2,3,1,4,5]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [4,6,3,2,7,1,5] => [7,3,6,4,1,2,5]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [4,6,2,3,7,1,5] => [7,6,2,4,1,3,5]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [5,6,3,2,7,1,4] => [7,3,6,1,5,2,4]
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [5,6,2,3,7,1,4] => [7,6,2,1,5,3,4]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [4,3,6,2,7,1,5] => [7,6,4,3,1,2,5]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [3,4,6,2,7,1,5] => [7,6,3,4,1,2,5]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [5,3,6,2,7,1,4] => [7,6,5,1,3,2,4]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [3,5,6,2,7,1,4] => [7,6,3,1,5,2,4]
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [4,5,6,2,7,1,3] => [7,6,1,4,5,2,3]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [4,3,2,6,7,1,5] => [7,3,4,2,1,6,5]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [4,2,3,6,7,1,5] => [7,4,2,3,1,6,5]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [3,4,2,6,7,1,5] => [7,4,3,2,1,6,5]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [3,2,4,6,7,1,5] => [7,3,2,4,1,6,5]
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [2,3,4,6,7,1,5] => [7,2,3,4,1,6,5]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [5,3,2,6,7,1,4] => [7,3,5,1,2,6,4]
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [5,2,3,6,7,1,4] => [7,5,2,1,3,6,4]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [3,5,2,6,7,1,4] => [7,5,3,1,2,6,4]
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [4,5,2,6,7,1,3] => [7,5,1,4,2,6,3]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [3,2,5,6,7,1,4] => [7,3,2,1,5,6,4]
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [2,3,5,6,7,1,4] => [7,2,3,1,5,6,4]
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [4,2,5,6,7,1,3] => [7,4,1,2,5,6,3]
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [2,4,5,6,7,1,3] => [7,2,1,4,5,6,3]
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [3,4,5,6,7,1,2] => [7,1,3,4,5,6,2]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [5,4,3,2,1,7,6] => [2,3,4,5,1,7,6]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [5,4,3,1,2,7,6] => [3,1,4,5,2,7,6]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [5,4,2,3,1,7,6] => [3,4,2,5,1,7,6]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [5,4,2,1,3,7,6] => [2,4,1,5,3,7,6]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [5,4,1,2,3,7,6] => [4,1,2,5,3,7,6]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [5,3,4,2,1,7,6] => [2,4,5,3,1,7,6]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [5,3,4,1,2,7,6] => [4,1,5,3,2,7,6]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [5,3,2,4,1,7,6] => [4,3,5,2,1,7,6]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [5,2,3,4,1,7,6] => [4,5,2,3,1,7,6]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [5,3,2,1,4,7,6] => [2,3,5,1,4,7,6]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [5,3,1,2,4,7,6] => [3,1,5,2,4,7,6]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [5,2,3,1,4,7,6] => [3,5,2,1,4,7,6]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [5,2,1,3,4,7,6] => [2,5,1,3,4,7,6]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [5,1,2,3,4,7,6] => [5,1,2,3,4,7,6]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [4,5,3,2,1,7,6] => [2,3,5,4,1,7,6]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [4,5,3,1,2,7,6] => [3,1,5,4,2,7,6]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [4,5,2,3,1,7,6] => [3,5,2,4,1,7,6]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [4,5,2,1,3,7,6] => [2,5,1,4,3,7,6]
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [4,5,1,2,3,7,6] => [5,1,2,4,3,7,6]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [4,3,5,2,1,7,6] => [2,5,4,3,1,7,6]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [4,3,5,1,2,7,6] => [5,1,4,3,2,7,6]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [3,4,5,2,1,7,6] => [2,5,3,4,1,7,6]
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [3,4,5,1,2,7,6] => [5,1,3,4,2,7,6]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [4,3,2,5,1,7,6] => [5,3,4,2,1,7,6]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [4,2,3,5,1,7,6] => [5,4,2,3,1,7,6]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [3,4,2,5,1,7,6] => [5,4,3,2,1,7,6]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [3,2,4,5,1,7,6] => [5,3,2,4,1,7,6]
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [2,3,4,5,1,7,6] => [5,2,3,4,1,7,6]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [4,3,2,1,5,7,6] => [2,3,4,1,5,7,6]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [4,3,1,2,5,7,6] => [3,1,4,2,5,7,6]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [4,2,3,1,5,7,6] => [3,4,2,1,5,7,6]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [4,2,1,3,5,7,6] => [2,4,1,3,5,7,6]
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [4,1,2,3,5,7,6] => [4,1,2,3,5,7,6]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [3,4,2,1,5,7,6] => [2,4,3,1,5,7,6]
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [3,4,1,2,5,7,6] => [4,1,3,2,5,7,6]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [3,2,4,1,5,7,6] => [4,3,2,1,5,7,6]
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [2,3,4,1,5,7,6] => [4,2,3,1,5,7,6]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [3,1,2,4,5,7,6] => [3,1,2,4,5,7,6]
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [2,3,1,4,5,7,6] => [3,2,1,4,5,7,6]
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6]
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [6,4,3,2,1,7,5] => [2,3,4,6,7,1,5]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [6,4,3,1,2,7,5] => [3,1,4,6,7,2,5]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [6,4,2,3,1,7,5] => [3,4,2,6,7,1,5]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [6,4,2,1,3,7,5] => [2,4,1,6,7,3,5]
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [6,4,1,2,3,7,5] => [4,1,2,6,7,3,5]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [6,3,4,2,1,7,5] => [2,4,6,3,7,1,5]
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [6,3,4,1,2,7,5] => [4,1,6,3,7,2,5]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [6,3,2,4,1,7,5] => [4,3,6,2,7,1,5]
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [6,2,3,4,1,7,5] => [4,6,2,3,7,1,5]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [6,3,2,1,4,7,5] => [2,3,6,1,7,4,5]
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [6,3,1,2,4,7,5] => [3,1,6,2,7,4,5]
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [6,2,3,1,4,7,5] => [3,6,2,1,7,4,5]
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [6,2,1,3,4,7,5] => [2,6,1,3,7,4,5]
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [6,1,2,3,4,7,5] => [6,1,2,3,7,4,5]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [4,6,3,2,1,7,5] => [2,3,6,4,7,1,5]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [4,6,3,1,2,7,5] => [3,1,6,4,7,2,5]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [4,6,2,3,1,7,5] => [3,6,2,4,7,1,5]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [4,6,2,1,3,7,5] => [2,6,1,4,7,3,5]
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [4,6,1,2,3,7,5] => [6,1,2,4,7,3,5]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [5,6,3,2,1,7,4] => [2,3,6,7,5,1,4]
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [5,6,3,1,2,7,4] => [3,1,6,7,5,2,4]
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [5,6,2,3,1,7,4] => [3,6,2,7,5,1,4]
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [5,6,2,1,3,7,4] => [2,6,1,7,5,3,4]
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [5,6,1,2,3,7,4] => [6,1,2,7,5,3,4]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [4,3,6,2,1,7,5] => [2,6,4,3,7,1,5]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [4,3,6,1,2,7,5] => [6,1,4,3,7,2,5]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [3,4,6,2,1,7,5] => [2,6,3,4,7,1,5]
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [3,4,6,1,2,7,5] => [6,1,3,4,7,2,5]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [5,3,6,2,1,7,4] => [2,6,5,7,3,1,4]
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [5,3,6,1,2,7,4] => [6,1,5,7,3,2,4]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [3,5,6,2,1,7,4] => [2,6,3,7,5,1,4]
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [3,5,6,1,2,7,4] => [6,1,3,7,5,2,4]
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [4,5,6,2,1,7,3] => [2,6,7,4,5,1,3]
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [4,5,6,1,2,7,3] => [6,1,7,4,5,2,3]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [4,3,2,6,1,7,5] => [6,3,4,2,7,1,5]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [4,2,3,6,1,7,5] => [6,4,2,3,7,1,5]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [3,4,2,6,1,7,5] => [6,4,3,2,7,1,5]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [3,2,4,6,1,7,5] => [6,3,2,4,7,1,5]
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [2,3,4,6,1,7,5] => [6,2,3,4,7,1,5]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [5,3,2,6,1,7,4] => [6,3,5,7,2,1,4]
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [5,2,3,6,1,7,4] => [6,5,2,7,3,1,4]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [3,5,2,6,1,7,4] => [6,5,3,7,2,1,4]
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [4,5,2,6,1,7,3] => [6,5,7,4,2,1,3]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [3,2,5,6,1,7,4] => [6,3,2,7,5,1,4]
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [2,3,5,6,1,7,4] => [6,2,3,7,5,1,4]
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [4,2,5,6,1,7,3] => [6,4,7,2,5,1,3]
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [2,4,5,6,1,7,3] => [6,2,7,4,5,1,3]
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [3,4,5,6,1,7,2] => [6,7,3,4,5,1,2]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [4,3,2,1,6,7,5] => [2,3,4,1,7,6,5]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [4,3,1,2,6,7,5] => [3,1,4,2,7,6,5]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [4,2,3,1,6,7,5] => [3,4,2,1,7,6,5]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [4,2,1,3,6,7,5] => [2,4,1,3,7,6,5]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [4,1,2,3,6,7,5] => [4,1,2,3,7,6,5]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [3,4,2,1,6,7,5] => [2,4,3,1,7,6,5]
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [3,4,1,2,6,7,5] => [4,1,3,2,7,6,5]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [3,2,4,1,6,7,5] => [4,3,2,1,7,6,5]
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [2,3,4,1,6,7,5] => [4,2,3,1,7,6,5]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [3,2,1,4,6,7,5] => [2,3,1,4,7,6,5]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [3,1,2,4,6,7,5] => [3,1,2,4,7,6,5]
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [2,3,1,4,6,7,5] => [3,2,1,4,7,6,5]
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [2,1,3,4,6,7,5] => [2,1,3,4,7,6,5]
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [5,3,2,1,6,7,4] => [2,3,5,7,1,6,4]
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [5,3,1,2,6,7,4] => [3,1,5,7,2,6,4]
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [5,2,3,1,6,7,4] => [3,5,2,7,1,6,4]
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [5,2,1,3,6,7,4] => [2,5,1,7,3,6,4]
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [5,1,2,3,6,7,4] => [5,1,2,7,3,6,4]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [3,5,2,1,6,7,4] => [2,5,3,7,1,6,4]
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [3,5,1,2,6,7,4] => [5,1,3,7,2,6,4]
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [4,5,2,1,6,7,3] => [2,5,7,4,1,6,3]
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [4,5,1,2,6,7,3] => [5,1,7,4,2,6,3]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [3,2,5,1,6,7,4] => [5,3,2,7,1,6,4]
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [2,3,5,1,6,7,4] => [5,2,3,7,1,6,4]
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [4,2,5,1,6,7,3] => [5,4,7,2,1,6,3]
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [2,4,5,1,6,7,3] => [5,2,7,4,1,6,3]
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [3,4,5,1,6,7,2] => [5,7,3,4,1,6,2]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [3,2,1,5,6,7,4] => [2,3,1,7,5,6,4]
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [3,1,2,5,6,7,4] => [3,1,2,7,5,6,4]
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [2,3,1,5,6,7,4] => [3,2,1,7,5,6,4]
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [2,1,3,5,6,7,4] => [2,1,3,7,5,6,4]
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4]
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [4,2,1,5,6,7,3] => [2,4,7,1,5,6,3]
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [4,1,2,5,6,7,3] => [4,1,7,2,5,6,3]
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [2,4,1,5,6,7,3] => [4,2,7,1,5,6,3]
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [3,4,1,5,6,7,2] => [4,7,3,1,5,6,2]
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [2,1,4,5,6,7,3] => [2,1,7,4,5,6,3]
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [1,2,4,5,6,7,3] => [1,2,7,4,5,6,3]
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [3,1,4,5,6,7,2] => [3,7,1,4,5,6,2]
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [1,3,4,5,6,7,2] => [1,7,3,4,5,6,2]
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [7,2,3,4,5,6,1]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,1,8]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [7,6,5,4,3,1,2,8] => [3,1,4,5,6,7,2,8]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [7,6,5,4,2,3,1,8] => [3,4,2,5,6,7,1,8]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [7,6,5,4,2,1,3,8] => [2,4,1,5,6,7,3,8]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [7,6,5,4,1,2,3,8] => [4,1,2,5,6,7,3,8]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [7,6,5,3,4,2,1,8] => [2,4,5,3,6,7,1,8]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [7,6,5,3,4,1,2,8] => [4,1,5,3,6,7,2,8]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [7,6,5,3,2,4,1,8] => [4,3,5,2,6,7,1,8]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [7,6,5,2,3,4,1,8] => [4,5,2,3,6,7,1,8]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [7,6,5,3,2,1,4,8] => [2,3,5,1,6,7,4,8]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [7,6,5,2,3,1,4,8] => [3,5,2,1,6,7,4,8]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [7,6,5,2,1,3,4,8] => [2,5,1,3,6,7,4,8]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [7,6,5,1,2,3,4,8] => [5,1,2,3,6,7,4,8]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [7,6,4,5,3,2,1,8] => [2,3,5,6,4,7,1,8]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [7,6,4,5,3,1,2,8] => [3,1,5,6,4,7,2,8]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [7,6,4,5,2,3,1,8] => [3,5,2,6,4,7,1,8]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [7,6,8,4,5,3,2,1] => [7,6,4,5,2,1,3,8] => [2,5,1,6,4,7,3,8]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [6,7,8,4,5,3,2,1] => [7,6,4,5,1,2,3,8] => [5,1,2,6,4,7,3,8]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [8,7,5,4,6,3,2,1] => [7,6,4,3,5,2,1,8] => [2,5,4,6,3,7,1,8]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [7,6,3,4,5,2,1,8] => [2,5,6,3,4,7,1,8]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [7,6,4,3,2,5,1,8] => [5,3,4,6,2,7,1,8]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [8,5,6,4,7,3,2,1] => [7,6,4,2,3,5,1,8] => [5,4,2,6,3,7,1,8]
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [8,5,4,6,7,3,2,1] => [7,6,3,2,4,5,1,8] => [5,3,6,2,4,7,1,8]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [7,6,2,3,4,5,1,8] => [5,6,2,3,4,7,1,8]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [7,6,4,3,2,1,5,8] => [2,3,4,6,1,7,5,8]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [7,6,4,3,1,2,5,8] => [3,1,4,6,2,7,5,8]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [7,6,4,2,3,1,5,8] => [3,4,2,6,1,7,5,8]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [7,6,4,2,1,3,5,8] => [2,4,1,6,3,7,5,8]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [7,5,4,6,8,3,2,1] => [7,6,3,2,4,1,5,8] => [4,3,6,2,1,7,5,8]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [7,6,2,3,4,1,5,8] => [4,6,2,3,1,7,5,8]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [7,6,3,2,1,4,5,8] => [2,3,6,1,4,7,5,8]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [7,6,2,3,1,4,5,8] => [3,6,2,1,4,7,5,8]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [7,5,6,4,3,2,1,8] => [2,3,4,6,7,5,1,8]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [7,5,6,4,3,1,2,8] => [3,1,4,6,7,5,2,8]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [7,5,6,4,2,3,1,8] => [3,4,2,6,7,5,1,8]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [6,7,8,5,3,4,2,1] => [7,5,6,4,1,2,3,8] => [4,1,2,6,7,5,3,8]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [7,5,6,3,4,2,1,8] => [2,4,6,3,7,5,1,8]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [7,5,6,3,4,1,2,8] => [4,1,6,3,7,5,2,8]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [8,5,6,7,3,4,2,1] => [7,5,6,2,3,4,1,8] => [4,6,2,3,7,5,1,8]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [6,7,5,8,3,4,2,1] => [7,5,6,3,1,2,4,8] => [3,1,6,2,7,5,4,8]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [7,5,6,8,3,4,2,1] => [7,5,6,2,3,1,4,8] => [3,6,2,1,7,5,4,8]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [7,5,6,2,1,3,4,8] => [2,6,1,3,7,5,4,8]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [7,5,6,1,2,3,4,8] => [6,1,2,3,7,5,4,8]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [8,7,6,4,3,5,2,1] => [7,5,4,6,3,2,1,8] => [2,3,6,5,7,4,1,8]
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [7,5,4,6,2,3,1,8] => [3,6,2,5,7,4,1,8]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [7,6,8,4,3,5,2,1] => [7,5,4,6,2,1,3,8] => [2,6,1,5,7,4,3,8]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [7,5,4,6,1,2,3,8] => [6,1,2,5,7,4,3,8]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [7,4,5,6,3,2,1,8] => [2,3,6,7,4,5,1,8]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [7,8,6,3,4,5,2,1] => [7,4,5,6,3,1,2,8] => [3,1,6,7,4,5,2,8]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [8,6,7,3,4,5,2,1] => [7,4,5,6,2,3,1,8] => [3,6,2,7,4,5,1,8]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [7,6,8,3,4,5,2,1] => [7,4,5,6,2,1,3,8] => [2,6,1,7,4,5,3,8]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [7,4,5,6,1,2,3,8] => [6,1,2,7,4,5,3,8]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [7,5,4,3,6,2,1,8] => [2,6,4,5,7,3,1,8]
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [8,7,5,3,4,6,2,1] => [7,4,5,3,6,2,1,8] => [2,6,5,7,4,3,1,8]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [7,3,4,5,6,2,1,8] => [2,6,7,3,4,5,1,8]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [7,5,4,3,2,6,1,8] => [6,3,4,5,7,2,1,8]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [8,5,6,4,3,7,2,1] => [7,5,4,2,3,6,1,8] => [6,4,2,5,7,3,1,8]
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [8,6,4,5,3,7,2,1] => [7,5,3,4,2,6,1,8] => [6,4,5,3,7,2,1,8]
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [8,5,4,6,3,7,2,1] => [7,5,3,2,4,6,1,8] => [6,3,5,2,7,4,1,8]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [7,4,3,5,2,6,1,8] => [6,5,4,7,3,2,1,8]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [7,2,3,4,5,6,1,8] => [6,7,2,3,4,5,1,8]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [7,5,4,3,2,1,6,8] => [2,3,4,5,7,1,6,8]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [7,5,6,4,3,8,2,1] => [7,5,4,2,3,1,6,8] => [3,4,2,5,7,1,6,8]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [6,7,4,5,3,8,2,1] => [7,5,3,4,1,2,6,8] => [4,1,5,3,7,2,6,8]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [7,5,3,2,4,1,6,8] => [4,3,5,2,7,1,6,8]
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [7,4,5,6,3,8,2,1] => [7,5,2,3,4,1,6,8] => [4,5,2,3,7,1,6,8]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [7,5,3,2,1,4,6,8] => [2,3,5,1,7,4,6,8]
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [5,6,4,7,3,8,2,1] => [7,5,3,1,2,4,6,8] => [3,1,5,2,7,4,6,8]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [7,5,2,3,1,4,6,8] => [3,5,2,1,7,4,6,8]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [7,5,1,2,3,4,6,8] => [5,1,2,3,7,4,6,8]
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [6,5,7,3,4,8,2,1] => [7,4,5,2,1,3,6,8] => [2,5,1,7,4,3,6,8]
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [5,6,7,3,4,8,2,1] => [7,4,5,1,2,3,6,8] => [5,1,2,7,4,3,6,8]
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [7,4,5,3,6,8,2,1] => [7,4,2,3,5,1,6,8] => [5,4,2,7,3,1,6,8]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [7,2,3,4,5,1,6,8] => [5,7,2,3,4,1,6,8]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [7,4,3,2,1,5,6,8] => [2,3,4,7,1,5,6,8]
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [5,6,4,3,7,8,2,1] => [7,4,3,1,2,5,6,8] => [3,1,4,7,2,5,6,8]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [7,2,3,4,1,5,6,8] => [4,7,2,3,1,5,6,8]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [7,3,2,1,4,5,6,8] => [2,3,7,1,4,5,6,8]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [4,5,3,6,7,8,2,1] => [7,3,1,2,4,5,6,8] => [3,1,7,2,4,5,6,8]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [7,2,1,3,4,5,6,8] => [2,7,1,3,4,5,6,8]
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,6,8]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [6,7,5,4,3,2,1,8] => [2,3,4,5,7,6,1,8]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [6,7,5,4,3,1,2,8] => [3,1,4,5,7,6,2,8]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [6,7,5,4,2,3,1,8] => [3,4,2,5,7,6,1,8]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [6,7,5,3,4,2,1,8] => [2,4,5,3,7,6,1,8]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,2,3,1] => [6,7,5,2,3,4,1,8] => [4,5,2,3,7,6,1,8]
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,2,3,1] => [6,7,5,2,3,1,4,8] => [3,5,2,1,7,6,4,8]
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,2,3,1] => [6,7,5,2,1,3,4,8] => [2,5,1,3,7,6,4,8]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [6,7,5,1,2,3,4,8] => [5,1,2,3,7,6,4,8]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [6,7,4,5,3,2,1,8] => [2,3,5,7,4,6,1,8]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [6,7,4,5,2,3,1,8] => [3,5,2,7,4,6,1,8]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [6,7,4,3,5,2,1,8] => [2,5,4,7,3,6,1,8]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [6,7,3,4,5,1,2,8] => [5,1,7,3,4,6,2,8]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [8,6,5,4,7,2,3,1] => [6,7,4,3,2,5,1,8] => [5,3,4,7,2,6,1,8]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [6,7,4,2,3,5,1,8] => [5,4,2,7,3,6,1,8]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,2,3,1] => [6,7,3,4,2,5,1,8] => [5,4,7,3,2,6,1,8]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [8,4,5,6,7,2,3,1] => [6,7,2,3,4,5,1,8] => [5,7,2,3,4,6,1,8]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,2,3,1] => [6,7,4,3,2,1,5,8] => [2,3,4,7,1,6,5,8]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [6,7,4,2,3,1,5,8] => [3,4,2,7,1,6,5,8]
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,2,3,1] => [6,7,3,4,2,1,5,8] => [2,4,7,3,1,6,5,8]
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,2,3,1] => [6,7,3,4,1,2,5,8] => [4,1,7,3,2,6,5,8]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,2,3,1] => [6,7,3,2,4,1,5,8] => [4,3,7,2,1,6,5,8]
[.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [7,4,5,6,8,2,3,1] => [6,7,2,3,4,1,5,8] => [4,7,2,3,1,6,5,8]
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,2,3,1] => [6,7,3,2,1,4,5,8] => [2,3,7,1,4,6,5,8]
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,2,3,1] => [6,7,3,1,2,4,5,8] => [3,1,7,2,4,6,5,8]
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [6,4,5,7,8,2,3,1] => [6,7,2,3,1,4,5,8] => [3,7,2,1,4,6,5,8]
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [6,7,1,2,3,4,5,8] => [7,1,2,3,4,6,5,8]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,7,4,3,2,1,8] => [2,3,4,7,6,5,1,8]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [6,5,7,4,2,1,3,8] => [2,4,1,7,6,5,3,8]
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [6,5,7,3,4,2,1,8] => [2,4,7,3,6,5,1,8]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,2,4,1] => [6,5,7,3,4,1,2,8] => [4,1,7,3,6,5,2,8]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,7,3,2,4,1,8] => [4,3,7,2,6,5,1,8]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,2,4,1] => [6,5,7,2,3,4,1,8] => [4,7,2,3,6,5,1,8]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,2,4,1] => [6,5,7,2,3,1,4,8] => [3,7,2,1,6,5,4,8]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [6,5,7,1,2,3,4,8] => [7,1,2,3,6,5,4,8]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [5,6,7,4,3,2,1,8] => [2,3,4,7,5,6,1,8]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,2,3,4,1] => [5,6,7,4,2,3,1,8] => [3,4,2,7,5,6,1,8]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [5,6,7,4,1,2,3,8] => [4,1,2,7,5,6,3,8]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,2,3,4,1] => [5,6,7,3,4,2,1,8] => [2,4,7,3,5,6,1,8]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,2,3,4,1] => [5,6,7,3,2,4,1,8] => [4,3,7,2,5,6,1,8]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,6,7,2,3,4,1,8] => [4,7,2,3,5,6,1,8]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [6,7,5,8,2,3,4,1] => [5,6,7,3,1,2,4,8] => [3,1,7,2,5,6,4,8]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [6,5,7,8,2,3,4,1] => [5,6,7,2,1,3,4,8] => [2,7,1,3,5,6,4,8]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [5,6,7,1,2,3,4,8] => [7,1,2,3,5,6,4,8]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [8,7,6,4,3,2,5,1] => [6,5,4,7,3,2,1,8] => [2,3,7,5,6,4,1,8]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [8,6,7,4,3,2,5,1] => [6,5,4,7,2,3,1,8] => [3,7,2,5,6,4,1,8]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,2,3,5,1] => [5,6,4,7,3,2,1,8] => [2,3,7,6,5,4,1,8]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,2,3,5,1] => [5,6,4,7,2,3,1,8] => [3,7,2,6,5,4,1,8]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [5,6,4,7,1,2,3,8] => [7,1,2,6,5,4,3,8]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [5,4,6,7,3,1,2,8] => [3,1,7,5,4,6,2,8]
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [8,6,7,3,2,4,5,1] => [5,4,6,7,2,3,1,8] => [3,7,2,5,4,6,1,8]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [5,4,6,7,1,2,3,8] => [7,1,2,5,4,6,3,8]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [8,7,6,2,3,4,5,1] => [4,5,6,7,3,2,1,8] => [2,3,7,4,5,6,1,8]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [7,8,6,2,3,4,5,1] => [4,5,6,7,3,1,2,8] => [3,1,7,4,5,6,2,8]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [4,5,6,7,2,3,1,8] => [3,7,2,4,5,6,1,8]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [7,6,8,2,3,4,5,1] => [4,5,6,7,2,1,3,8] => [2,7,1,4,5,6,3,8]
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [4,5,6,7,1,2,3,8] => [7,1,2,4,5,6,3,8]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [6,5,4,3,7,2,1,8] => [2,7,4,5,6,3,1,8]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [6,5,4,3,7,1,2,8] => [7,1,4,5,6,3,2,8]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [6,4,5,3,7,1,2,8] => [7,1,5,6,4,3,2,8]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [7,8,4,3,5,2,6,1] => [6,4,3,5,7,1,2,8] => [7,1,4,6,3,5,2,8]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [7,8,3,4,5,2,6,1] => [6,3,4,5,7,1,2,8] => [7,1,6,3,4,5,2,8]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [8,7,5,4,2,3,6,1] => [5,6,4,3,7,2,1,8] => [2,7,4,6,5,3,1,8]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [7,8,4,5,2,3,6,1] => [5,6,3,4,7,1,2,8] => [7,1,6,3,5,4,2,8]
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [8,7,5,3,2,4,6,1] => [5,4,6,3,7,2,1,8] => [2,7,6,5,4,3,1,8]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [8,7,4,3,2,5,6,1] => [5,4,3,6,7,2,1,8] => [2,7,4,5,3,6,1,8]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [4,3,5,6,7,1,2,8] => [7,1,4,3,5,6,2,8]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [3,4,5,6,7,2,1,8] => [2,7,3,4,5,6,1,8]
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [3,4,5,6,7,1,2,8] => [7,1,3,4,5,6,2,8]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [6,5,4,3,2,7,1,8] => [7,3,4,5,6,2,1,8]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [6,5,3,2,4,7,1,8] => [7,3,5,2,6,4,1,8]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [8,6,3,4,5,2,7,1] => [6,3,4,5,2,7,1,8] => [7,5,6,3,4,2,1,8]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [6,4,2,3,5,7,1,8] => [7,4,2,6,3,5,1,8]
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [8,4,3,5,6,2,7,1] => [6,3,2,4,5,7,1,8] => [7,3,6,2,4,5,1,8]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [6,2,3,4,5,7,1,8] => [7,6,2,3,4,5,1,8]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [8,6,4,5,2,3,7,1] => [5,6,3,4,2,7,1,8] => [7,4,6,3,5,2,1,8]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [8,6,5,3,2,4,7,1] => [5,4,6,3,2,7,1,8] => [7,3,6,5,4,2,1,8]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [8,6,4,3,2,5,7,1] => [5,4,3,6,2,7,1,8] => [7,6,4,5,3,2,1,8]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [4,5,3,6,2,7,1,8] => [7,6,5,4,3,2,1,8]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [3,4,5,6,2,7,1,8] => [7,6,3,4,5,2,1,8]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [5,4,3,2,6,7,1,8] => [7,3,4,5,2,6,1,8]
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [8,4,5,3,2,6,7,1] => [5,4,2,3,6,7,1,8] => [7,4,2,5,3,6,1,8]
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [5,2,3,4,6,7,1,8] => [7,5,2,3,4,6,1,8]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [8,4,5,2,3,6,7,1] => [4,5,2,3,6,7,1,8] => [7,5,2,4,3,6,1,8]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [8,4,3,2,5,6,7,1] => [4,3,2,5,6,7,1,8] => [7,3,4,2,5,6,1,8]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [4,2,3,5,6,7,1,8] => [7,4,2,3,5,6,1,8]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [8,4,2,3,5,6,7,1] => [3,4,2,5,6,7,1,8] => [7,4,3,2,5,6,1,8]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [3,2,4,5,6,7,1,8] => [7,3,2,4,5,6,1,8]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,1,8] => [7,2,3,4,5,6,1,8]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [6,5,4,3,2,1,7,8] => [2,3,4,5,6,1,7,8]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [6,5,4,3,1,2,7,8] => [3,1,4,5,6,2,7,8]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [6,5,4,2,1,3,7,8] => [2,4,1,5,6,3,7,8]
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [6,5,4,1,2,3,7,8] => [4,1,2,5,6,3,7,8]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [6,5,3,4,2,1,7,8] => [2,4,5,3,6,1,7,8]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [7,4,5,6,3,2,8,1] => [6,5,2,3,4,1,7,8] => [4,5,2,3,6,1,7,8]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [6,5,3,2,1,4,7,8] => [2,3,5,1,6,4,7,8]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [6,5,1,2,3,4,7,8] => [5,1,2,3,6,4,7,8]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [6,4,5,2,1,3,7,8] => [2,5,1,6,4,3,7,8]
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [6,7,4,3,5,2,8,1] => [6,4,3,5,1,2,7,8] => [5,1,4,6,3,2,7,8]
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [7,6,3,4,5,2,8,1] => [6,3,4,5,2,1,7,8] => [2,5,6,3,4,1,7,8]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [6,4,3,2,5,1,7,8] => [5,3,4,6,2,1,7,8]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [7,3,4,5,6,2,8,1] => [6,2,3,4,5,1,7,8] => [5,6,2,3,4,1,7,8]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [6,4,3,2,1,5,7,8] => [2,3,4,6,1,5,7,8]
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [5,6,4,3,7,2,8,1] => [6,4,3,1,2,5,7,8] => [3,1,4,6,2,5,7,8]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [6,4,2,1,3,5,7,8] => [2,4,1,6,3,5,7,8]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [6,4,1,2,3,5,7,8] => [4,1,2,6,3,5,7,8]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [6,3,4,2,1,5,7,8] => [2,4,6,3,1,5,7,8]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [6,3,2,1,4,5,7,8] => [2,3,6,1,4,5,7,8]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [6,3,1,2,4,5,7,8] => [3,1,6,2,4,5,7,8]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [5,3,4,6,7,2,8,1] => [6,2,3,1,4,5,7,8] => [3,6,2,1,4,5,7,8]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [6,2,1,3,4,5,7,8] => [2,6,1,3,4,5,7,8]
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [6,1,2,3,4,5,7,8] => [6,1,2,3,4,5,7,8]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [5,6,4,3,2,1,7,8] => [2,3,4,6,5,1,7,8]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [5,6,4,3,1,2,7,8] => [3,1,4,6,5,2,7,8]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,2,3,8,1] => [5,6,4,2,1,3,7,8] => [2,4,1,6,5,3,7,8]
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,2,3,8,1] => [5,6,3,4,2,1,7,8] => [2,4,6,3,5,1,7,8]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [5,6,3,4,1,2,7,8] => [4,1,6,3,5,2,7,8]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,2,3,8,1] => [5,6,3,2,4,1,7,8] => [4,3,6,2,5,1,7,8]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [7,4,5,6,2,3,8,1] => [5,6,2,3,4,1,7,8] => [4,6,2,3,5,1,7,8]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,2,3,8,1] => [5,6,3,2,1,4,7,8] => [2,3,6,1,5,4,7,8]
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [7,6,5,3,2,4,8,1] => [5,4,6,3,2,1,7,8] => [2,3,6,5,4,1,7,8]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [6,7,5,3,2,4,8,1] => [5,4,6,3,1,2,7,8] => [3,1,6,5,4,2,7,8]
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [7,5,6,3,2,4,8,1] => [5,4,6,2,3,1,7,8] => [3,6,2,5,4,1,7,8]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [6,5,7,3,2,4,8,1] => [5,4,6,2,1,3,7,8] => [2,6,1,5,4,3,7,8]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [4,5,6,3,2,1,7,8] => [2,3,6,4,5,1,7,8]
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [4,5,6,1,2,3,7,8] => [6,1,2,4,5,3,7,8]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [7,6,4,3,2,5,8,1] => [5,4,3,6,2,1,7,8] => [2,6,4,5,3,1,7,8]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [5,4,3,6,1,2,7,8] => [6,1,4,5,3,2,7,8]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [7,6,2,3,4,5,8,1] => [3,4,5,6,2,1,7,8] => [2,6,3,4,5,1,7,8]
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [3,4,5,6,1,2,7,8] => [6,1,3,4,5,2,7,8]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [7,5,4,3,2,6,8,1] => [5,4,3,2,6,1,7,8] => [6,3,4,5,2,1,7,8]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [7,4,3,5,2,6,8,1] => [5,3,2,4,6,1,7,8] => [6,3,5,2,4,1,7,8]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [7,3,4,5,2,6,8,1] => [5,2,3,4,6,1,7,8] => [6,5,2,3,4,1,7,8]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [4,5,3,2,6,1,7,8] => [6,3,5,4,2,1,7,8]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,7,8] => [6,5,4,3,2,1,7,8]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [7,5,2,3,4,6,8,1] => [3,4,5,2,6,1,7,8] => [6,5,3,4,2,1,7,8]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [7,4,3,2,5,6,8,1] => [4,3,2,5,6,1,7,8] => [6,3,4,2,5,1,7,8]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [3,2,4,5,6,1,7,8] => [6,3,2,4,5,1,7,8]
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [2,3,4,5,6,1,7,8] => [6,2,3,4,5,1,7,8]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [5,4,3,2,1,6,7,8] => [2,3,4,5,1,6,7,8]
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [6,4,5,3,2,7,8,1] => [5,4,2,3,1,6,7,8] => [3,4,2,5,1,6,7,8]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [5,4,2,1,3,6,7,8] => [2,4,1,5,3,6,7,8]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [5,4,1,2,3,6,7,8] => [4,1,2,5,3,6,7,8]
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [6,5,3,4,2,7,8,1] => [5,3,4,2,1,6,7,8] => [2,4,5,3,1,6,7,8]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [5,6,3,4,2,7,8,1] => [5,3,4,1,2,6,7,8] => [4,1,5,3,2,6,7,8]
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [6,4,3,5,2,7,8,1] => [5,3,2,4,1,6,7,8] => [4,3,5,2,1,6,7,8]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [5,2,3,4,1,6,7,8] => [4,5,2,3,1,6,7,8]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [5,3,2,1,4,6,7,8] => [2,3,5,1,4,6,7,8]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [5,3,4,6,2,7,8,1] => [5,2,3,1,4,6,7,8] => [3,5,2,1,4,6,7,8]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [5,2,1,3,4,6,7,8] => [2,5,1,3,4,6,7,8]
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [5,1,2,3,4,6,7,8] => [5,1,2,3,4,6,7,8]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [6,5,4,2,3,7,8,1] => [4,5,3,2,1,6,7,8] => [2,3,5,4,1,6,7,8]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [6,4,5,2,3,7,8,1] => [4,5,2,3,1,6,7,8] => [3,5,2,4,1,6,7,8]
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [4,5,6,2,3,7,8,1] => [4,5,1,2,3,6,7,8] => [5,1,2,4,3,6,7,8]
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [6,5,3,2,4,7,8,1] => [4,3,5,2,1,6,7,8] => [2,5,4,3,1,6,7,8]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [6,5,2,3,4,7,8,1] => [3,4,5,2,1,6,7,8] => [2,5,3,4,1,6,7,8]
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [5,6,2,3,4,7,8,1] => [3,4,5,1,2,6,7,8] => [5,1,3,4,2,6,7,8]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [6,4,2,3,5,7,8,1] => [3,4,2,5,1,6,7,8] => [5,4,3,2,1,6,7,8]
[.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [6,3,2,4,5,7,8,1] => [3,2,4,5,1,6,7,8] => [5,3,2,4,1,6,7,8]
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [2,3,4,5,1,6,7,8] => [5,2,3,4,1,6,7,8]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [4,3,2,1,5,6,7,8] => [2,3,4,1,5,6,7,8]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [4,3,1,2,5,6,7,8] => [3,1,4,2,5,6,7,8]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [4,2,3,1,5,6,7,8] => [3,4,2,1,5,6,7,8]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [4,2,1,3,5,6,7,8] => [2,4,1,3,5,6,7,8]
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [4,1,2,3,5,6,7,8] => [4,1,2,3,5,6,7,8]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [5,4,2,3,6,7,8,1] => [3,4,2,1,5,6,7,8] => [2,4,3,1,5,6,7,8]
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [4,5,2,3,6,7,8,1] => [3,4,1,2,5,6,7,8] => [4,1,3,2,5,6,7,8]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [5,3,2,4,6,7,8,1] => [3,2,4,1,5,6,7,8] => [4,3,2,1,5,6,7,8]
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [2,3,4,1,5,6,7,8] => [4,2,3,1,5,6,7,8]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8]
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [3,1,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8]
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8]
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,7]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [8,6,5,4,3,1,2,7] => [3,1,4,5,6,8,2,7]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [8,6,5,4,2,3,1,7] => [3,4,2,5,6,8,1,7]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,3,1,2] => [8,6,5,4,2,1,3,7] => [2,4,1,5,6,8,3,7]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [8,6,5,3,4,2,1,7] => [2,4,5,3,6,8,1,7]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [8,6,5,3,4,1,2,7] => [4,1,5,3,6,8,2,7]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [8,6,5,3,2,4,1,7] => [4,3,5,2,6,8,1,7]
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,3,1,2] => [8,6,5,2,3,4,1,7] => [4,5,2,3,6,8,1,7]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,3,1,2] => [8,6,5,3,2,1,4,7] => [2,3,5,1,6,8,4,7]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [8,6,5,2,1,3,4,7] => [2,5,1,3,6,8,4,7]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [8,6,5,1,2,3,4,7] => [5,1,2,3,6,8,4,7]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [8,6,4,5,3,2,1,7] => [2,3,5,6,4,8,1,7]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [8,6,4,5,3,1,2,7] => [3,1,5,6,4,8,2,7]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [8,6,4,5,2,3,1,7] => [3,5,2,6,4,8,1,7]
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,3,1,2] => [8,6,4,5,2,1,3,7] => [2,5,1,6,4,8,3,7]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,3,1,2] => [8,6,4,5,1,2,3,7] => [5,1,2,6,4,8,3,7]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [8,6,4,3,5,2,1,7] => [2,5,4,6,3,8,1,7]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,3,1,2] => [8,6,3,4,5,1,2,7] => [5,1,6,3,4,8,2,7]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,3,1,2] => [8,6,4,2,3,5,1,7] => [5,4,2,6,3,8,1,7]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [8,5,4,6,7,3,1,2] => [8,6,3,2,4,5,1,7] => [5,3,6,2,4,8,1,7]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,3,1,2] => [8,6,4,3,2,1,5,7] => [2,3,4,6,1,8,5,7]
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [6,7,5,4,8,3,1,2] => [8,6,4,3,1,2,5,7] => [3,1,4,6,2,8,5,7]
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,3,1,2] => [8,6,4,2,3,1,5,7] => [3,4,2,6,1,8,5,7]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,3,1,2] => [8,6,4,2,1,3,5,7] => [2,4,1,6,3,8,5,7]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,3,1,2] => [8,6,3,4,2,1,5,7] => [2,4,6,3,1,8,5,7]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,3,1,2] => [8,6,3,4,1,2,5,7] => [4,1,6,3,2,8,5,7]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,3,1,2] => [8,6,3,2,4,1,5,7] => [4,3,6,2,1,8,5,7]
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [7,4,5,6,8,3,1,2] => [8,6,2,3,4,1,5,7] => [4,6,2,3,1,8,5,7]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,3,1,2] => [8,6,3,2,1,4,5,7] => [2,3,6,1,4,8,5,7]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [8,6,1,2,3,4,5,7] => [6,1,2,3,4,8,5,7]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [8,5,6,4,3,2,1,7] => [2,3,4,6,8,5,1,7]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,4,1,2] => [8,5,6,4,2,3,1,7] => [3,4,2,6,8,5,1,7]
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,4,1,2] => [8,5,6,4,2,1,3,7] => [2,4,1,6,8,5,3,7]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [8,5,6,4,1,2,3,7] => [4,1,2,6,8,5,3,7]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [8,5,6,3,4,2,1,7] => [2,4,6,3,8,5,1,7]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [8,5,6,3,4,1,2,7] => [4,1,6,3,8,5,2,7]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [8,5,6,2,3,4,1,7] => [4,6,2,3,8,5,1,7]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [8,5,6,3,2,1,4,7] => [2,3,6,1,8,5,4,7]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [8,5,6,3,1,2,4,7] => [3,1,6,2,8,5,4,7]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [8,5,6,2,3,1,4,7] => [3,6,2,1,8,5,4,7]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [8,5,6,2,1,3,4,7] => [2,6,1,3,8,5,4,7]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [8,5,6,1,2,3,4,7] => [6,1,2,3,8,5,4,7]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [8,4,5,6,3,2,1,7] => [2,3,6,8,4,5,1,7]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [8,4,5,6,2,3,1,7] => [3,6,2,8,4,5,1,7]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [7,6,8,3,4,5,1,2] => [8,4,5,6,2,1,3,7] => [2,6,1,8,4,5,3,7]
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [6,7,8,3,4,5,1,2] => [8,4,5,6,1,2,3,7] => [6,1,2,8,4,5,3,7]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [8,5,4,3,6,1,2,7] => [6,1,4,5,8,3,2,7]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [8,5,3,4,6,1,2,7] => [6,1,5,3,8,4,2,7]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [8,7,5,3,4,6,1,2] => [8,4,5,3,6,2,1,7] => [2,6,5,8,4,3,1,7]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [8,4,5,3,6,1,2,7] => [6,1,5,8,4,3,2,7]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [8,7,4,3,5,6,1,2] => [8,4,3,5,6,2,1,7] => [2,6,4,8,3,5,1,7]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [8,4,3,5,6,1,2,7] => [6,1,4,8,3,5,2,7]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [8,7,3,4,5,6,1,2] => [8,3,4,5,6,2,1,7] => [2,6,8,3,4,5,1,7]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [8,3,4,5,6,1,2,7] => [6,1,8,3,4,5,2,7]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,3,7,1,2] => [8,5,3,2,4,6,1,7] => [6,3,5,2,8,4,1,7]
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [8,5,6,3,4,7,1,2] => [8,4,5,2,3,6,1,7] => [6,5,2,8,4,3,1,7]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [8,6,4,3,5,7,1,2] => [8,4,3,5,2,6,1,7] => [6,5,4,8,3,2,1,7]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [8,5,3,4,6,7,1,2] => [8,3,4,2,5,6,1,7] => [6,4,8,3,2,5,1,7]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [8,3,2,4,5,6,1,7] => [6,3,8,2,4,5,1,7]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [8,2,3,4,5,6,1,7] => [6,8,2,3,4,5,1,7]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [8,5,4,3,2,1,6,7] => [2,3,4,5,8,1,6,7]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [8,5,4,2,1,3,6,7] => [2,4,1,5,8,3,6,7]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [5,6,7,4,3,8,1,2] => [8,5,4,1,2,3,6,7] => [4,1,2,5,8,3,6,7]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [8,5,3,4,1,2,6,7] => [4,1,5,3,8,2,6,7]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [7,4,5,6,3,8,1,2] => [8,5,2,3,4,1,6,7] => [4,5,2,3,8,1,6,7]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [8,5,3,2,1,4,6,7] => [2,3,5,1,8,4,6,7]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [8,5,3,1,2,4,6,7] => [3,1,5,2,8,4,6,7]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [5,4,6,7,3,8,1,2] => [8,5,2,1,3,4,6,7] => [2,5,1,3,8,4,6,7]
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [4,5,6,7,3,8,1,2] => [8,5,1,2,3,4,6,7] => [5,1,2,3,8,4,6,7]
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [7,6,5,3,4,8,1,2] => [8,4,5,3,2,1,6,7] => [2,3,5,8,4,1,6,7]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [7,5,6,3,4,8,1,2] => [8,4,5,2,3,1,6,7] => [3,5,2,8,4,1,6,7]
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [5,6,7,3,4,8,1,2] => [8,4,5,1,2,3,6,7] => [5,1,2,8,4,3,6,7]
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [7,6,4,3,5,8,1,2] => [8,4,3,5,2,1,6,7] => [2,5,4,8,3,1,6,7]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [7,6,3,4,5,8,1,2] => [8,3,4,5,2,1,6,7] => [2,5,8,3,4,1,6,7]
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [6,7,3,4,5,8,1,2] => [8,3,4,5,1,2,6,7] => [5,1,8,3,4,2,6,7]
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [7,4,5,3,6,8,1,2] => [8,4,2,3,5,1,6,7] => [5,4,2,8,3,1,6,7]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [8,2,3,4,5,1,6,7] => [5,8,2,3,4,1,6,7]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [8,4,3,2,1,5,6,7] => [2,3,4,8,1,5,6,7]
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [6,4,5,3,7,8,1,2] => [8,4,2,3,1,5,6,7] => [3,4,2,8,1,5,6,7]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [8,4,2,1,3,5,6,7] => [2,4,1,8,3,5,6,7]
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [4,5,6,3,7,8,1,2] => [8,4,1,2,3,5,6,7] => [4,1,2,8,3,5,6,7]
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [6,5,3,4,7,8,1,2] => [8,3,4,2,1,5,6,7] => [2,4,8,3,1,5,6,7]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [8,3,4,1,2,5,6,7] => [4,1,8,3,2,5,6,7]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [8,2,3,4,1,5,6,7] => [4,8,2,3,1,5,6,7]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [8,3,2,1,4,5,6,7] => [2,3,8,1,4,5,6,7]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [8,3,1,2,4,5,6,7] => [3,1,8,2,4,5,6,7]
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [5,3,4,6,7,8,1,2] => [8,2,3,1,4,5,6,7] => [3,8,2,1,4,5,6,7]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [8,2,1,3,4,5,6,7] => [2,8,1,3,4,5,6,7]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [6,8,5,4,3,2,1,7] => [2,3,4,5,8,6,1,7]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [6,8,5,4,3,1,2,7] => [3,1,4,5,8,6,2,7]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [6,8,5,4,2,1,3,7] => [2,4,1,5,8,6,3,7]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [8,7,5,6,4,2,1,3] => [6,8,5,3,4,2,1,7] => [2,4,5,3,8,6,1,7]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [6,8,5,3,4,1,2,7] => [4,1,5,3,8,6,2,7]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,2,1,3] => [6,8,5,3,2,4,1,7] => [4,3,5,2,8,6,1,7]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,2,1,3] => [6,8,5,2,3,4,1,7] => [4,5,2,3,8,6,1,7]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [6,8,5,3,2,1,4,7] => [2,3,5,1,8,6,4,7]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,2,1,3] => [6,8,5,2,3,1,4,7] => [3,5,2,1,8,6,4,7]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,2,1,3] => [6,8,5,2,1,3,4,7] => [2,5,1,3,8,6,4,7]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [6,8,5,1,2,3,4,7] => [5,1,2,3,8,6,4,7]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,2,1,3] => [6,8,4,5,2,3,1,7] => [3,5,2,8,4,6,1,7]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,2,1,3] => [6,8,4,5,1,2,3,7] => [5,1,2,8,4,6,3,7]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,2,1,3] => [6,8,4,3,5,1,2,7] => [5,1,4,8,3,6,2,7]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,2,1,3] => [6,8,3,4,5,2,1,7] => [2,5,8,3,4,6,1,7]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,2,1,3] => [6,8,3,4,2,5,1,7] => [5,4,8,3,2,6,1,7]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,2,1,3] => [6,8,3,2,4,5,1,7] => [5,3,8,2,4,6,1,7]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,2,1,3] => [6,8,2,3,4,5,1,7] => [5,8,2,3,4,6,1,7]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,2,1,3] => [6,8,4,3,2,1,5,7] => [2,3,4,8,1,6,5,7]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,2,1,3] => [6,8,4,2,3,1,5,7] => [3,4,2,8,1,6,5,7]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [6,8,4,2,1,3,5,7] => [2,4,1,8,3,6,5,7]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,2,1,3] => [6,8,4,1,2,3,5,7] => [4,1,2,8,3,6,5,7]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,2,1,3] => [6,8,3,4,1,2,5,7] => [4,1,8,3,2,6,5,7]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,2,1,3] => [6,8,3,2,4,1,5,7] => [4,3,8,2,1,6,5,7]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,2,1,3] => [6,8,2,3,4,1,5,7] => [4,8,2,3,1,6,5,7]
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,2,1,3] => [6,8,3,2,1,4,5,7] => [2,3,8,1,4,6,5,7]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,2,1,3] => [6,8,3,1,2,4,5,7] => [3,1,8,2,4,6,5,7]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,2,1,3] => [6,8,2,1,3,4,5,7] => [2,8,1,3,4,6,5,7]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [6,8,1,2,3,4,5,7] => [8,1,2,3,4,6,5,7]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [7,8,5,4,3,2,1,6] => [2,3,4,5,8,1,7,6]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [7,8,5,4,3,1,2,6] => [3,1,4,5,8,2,7,6]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,1,2,3] => [7,8,5,4,2,1,3,6] => [2,4,1,5,8,3,7,6]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [7,8,5,4,1,2,3,6] => [4,1,2,5,8,3,7,6]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,1,2,3] => [7,8,5,3,4,1,2,6] => [4,1,5,3,8,2,7,6]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [7,8,5,2,3,4,1,6] => [4,5,2,3,8,1,7,6]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,1,2,3] => [7,8,5,3,2,1,4,6] => [2,3,5,1,8,4,7,6]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,1,2,3] => [7,8,5,3,1,2,4,6] => [3,1,5,2,8,4,7,6]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,1,2,3] => [7,8,5,2,1,3,4,6] => [2,5,1,3,8,4,7,6]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [7,8,5,1,2,3,4,6] => [5,1,2,3,8,4,7,6]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => [7,8,4,5,3,2,1,6] => [2,3,5,8,4,1,7,6]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [7,8,4,5,2,3,1,6] => [3,5,2,8,4,1,7,6]
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,1,2,3] => [7,8,4,5,1,2,3,6] => [5,1,2,8,4,3,7,6]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [7,8,3,4,5,2,1,6] => [2,5,8,3,4,1,7,6]
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [7,8,3,4,5,1,2,6] => [5,1,8,3,4,2,7,6]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,1,2,3] => [7,8,4,3,2,5,1,6] => [5,3,4,8,2,1,7,6]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,1,2,3] => [7,8,3,4,2,5,1,6] => [5,4,8,3,2,1,7,6]
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [7,8,2,3,4,5,1,6] => [5,8,2,3,4,1,7,6]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [7,8,4,3,2,1,5,6] => [2,3,4,8,1,5,7,6]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,1,2,3] => [7,8,4,3,1,2,5,6] => [3,1,4,8,2,5,7,6]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,1,2,3] => [7,8,4,2,3,1,5,6] => [3,4,2,8,1,5,7,6]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,1,2,3] => [7,8,4,2,1,3,5,6] => [2,4,1,8,3,5,7,6]
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,1,2,3] => [7,8,4,1,2,3,5,6] => [4,1,2,8,3,5,7,6]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,1,2,3] => [7,8,3,4,2,1,5,6] => [2,4,8,3,1,5,7,6]
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [7,8,3,4,1,2,5,6] => [4,1,8,3,2,5,7,6]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [7,8,3,2,4,1,5,6] => [4,3,8,2,1,5,7,6]
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,1,2,3] => [7,8,2,3,4,1,5,6] => [4,8,2,3,1,5,7,6]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [7,8,3,2,1,4,5,6] => [2,3,8,1,4,5,7,6]
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,1,2,3] => [7,8,3,1,2,4,5,6] => [3,1,8,2,4,5,7,6]
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [6,4,5,7,8,1,2,3] => [7,8,2,3,1,4,5,6] => [3,8,2,1,4,5,7,6]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [7,8,2,1,3,4,5,6] => [2,8,1,3,4,5,7,6]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [7,8,1,2,3,4,5,6] => [8,1,2,3,4,5,7,6]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [6,5,8,4,3,2,1,7] => [2,3,4,8,6,5,1,7]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,2,1,4] => [6,5,8,4,3,1,2,7] => [3,1,4,8,6,5,2,7]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [6,5,8,4,2,3,1,7] => [3,4,2,8,6,5,1,7]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,2,1,4] => [6,5,8,4,1,2,3,7] => [4,1,2,8,6,5,3,7]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [6,5,8,3,4,2,1,7] => [2,4,8,3,6,5,1,7]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [6,5,8,3,4,1,2,7] => [4,1,8,3,6,5,2,7]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [6,5,8,2,3,4,1,7] => [4,8,2,3,6,5,1,7]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [6,5,8,3,2,1,4,7] => [2,3,8,1,6,5,4,7]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,2,1,4] => [6,5,8,2,3,1,4,7] => [3,8,2,1,6,5,4,7]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [6,5,8,1,2,3,4,7] => [8,1,2,3,6,5,4,7]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [5,6,8,4,3,2,1,7] => [2,3,4,8,5,6,1,7]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,3,1,4] => [5,6,8,4,3,1,2,7] => [3,1,4,8,5,6,2,7]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [5,6,8,4,2,3,1,7] => [3,4,2,8,5,6,1,7]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,3,1,4] => [5,6,8,4,2,1,3,7] => [2,4,1,8,5,6,3,7]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [6,7,8,5,2,3,1,4] => [5,6,8,4,1,2,3,7] => [4,1,2,8,5,6,3,7]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,3,1,4] => [5,6,8,3,4,2,1,7] => [2,4,8,3,5,6,1,7]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [5,6,8,3,4,1,2,7] => [4,1,8,3,5,6,2,7]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [8,5,6,7,2,3,1,4] => [5,6,8,2,3,4,1,7] => [4,8,2,3,5,6,1,7]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [5,6,8,3,2,1,4,7] => [2,3,8,1,5,6,4,7]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,6,8,2,3,1,4,7] => [3,8,2,1,5,6,4,7]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [6,5,7,8,2,3,1,4] => [5,6,8,2,1,3,4,7] => [2,8,1,3,5,6,4,7]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [5,6,8,1,2,3,4,7] => [8,1,2,3,5,6,4,7]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [7,5,8,4,3,2,1,6] => [2,3,4,8,7,1,5,6]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,1,2,4] => [7,5,8,4,1,2,3,6] => [4,1,2,8,7,3,5,6]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [7,5,8,3,4,2,1,6] => [2,4,8,3,7,1,5,6]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [7,5,8,3,4,1,2,6] => [4,1,8,3,7,2,5,6]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,1,2,4] => [7,5,8,3,2,4,1,6] => [4,3,8,2,7,1,5,6]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [7,5,8,3,1,2,4,6] => [3,1,8,2,7,4,5,6]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [7,5,8,2,3,1,4,6] => [3,8,2,1,7,4,5,6]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [7,5,8,2,1,3,4,6] => [2,8,1,3,7,4,5,6]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [7,5,8,1,2,3,4,6] => [8,1,2,3,7,4,5,6]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [5,7,8,4,3,2,1,6] => [2,3,4,8,5,1,7,6]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [5,7,8,4,3,1,2,6] => [3,1,4,8,5,2,7,6]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,1,3,4] => [5,7,8,4,2,1,3,6] => [2,4,1,8,5,3,7,6]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [5,7,8,4,1,2,3,6] => [4,1,2,8,5,3,7,6]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,1,3,4] => [5,7,8,3,4,2,1,6] => [2,4,8,3,5,1,7,6]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [5,7,8,3,4,1,2,6] => [4,1,8,3,5,2,7,6]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,1,3,4] => [5,7,8,3,2,4,1,6] => [4,3,8,2,5,1,7,6]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [8,5,6,7,2,1,3,4] => [5,7,8,2,3,4,1,6] => [4,8,2,3,5,1,7,6]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,1,3,4] => [5,7,8,3,2,1,4,6] => [2,3,8,1,5,4,7,6]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [5,7,8,3,1,2,4,6] => [3,1,8,2,5,4,7,6]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [7,5,6,8,2,1,3,4] => [5,7,8,2,3,1,4,6] => [3,8,2,1,5,4,7,6]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [5,7,8,2,1,3,4,6] => [2,8,1,3,5,4,7,6]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [5,7,8,1,2,3,4,6] => [8,1,2,3,5,4,7,6]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [6,7,8,4,3,2,1,5] => [2,3,4,8,1,6,7,5]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [6,7,8,4,3,1,2,5] => [3,1,4,8,2,6,7,5]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [6,7,8,4,2,3,1,5] => [3,4,2,8,1,6,7,5]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [6,7,8,4,2,1,3,5] => [2,4,1,8,3,6,7,5]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [6,7,8,4,1,2,3,5] => [4,1,2,8,3,6,7,5]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [6,7,8,3,4,2,1,5] => [2,4,8,3,1,6,7,5]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [6,7,8,3,4,1,2,5] => [4,1,8,3,2,6,7,5]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [6,7,8,3,2,4,1,5] => [4,3,8,2,1,6,7,5]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [6,7,8,2,3,4,1,5] => [4,8,2,3,1,6,7,5]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [6,7,8,3,2,1,4,5] => [2,3,8,1,4,6,7,5]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [6,7,8,3,1,2,4,5] => [3,1,8,2,4,6,7,5]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [6,7,8,2,3,1,4,5] => [3,8,2,1,4,6,7,5]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [6,7,8,2,1,3,4,5] => [2,8,1,3,4,6,7,5]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [6,7,8,1,2,3,4,5] => [8,1,2,3,4,6,7,5]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [6,5,4,8,3,2,1,7] => [2,3,8,5,6,4,1,7]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [6,5,4,8,1,2,3,7] => [8,1,2,5,6,4,3,7]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [7,8,6,3,4,2,1,5] => [6,4,5,8,3,1,2,7] => [3,1,8,6,4,5,2,7]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [8,6,7,3,4,2,1,5] => [6,4,5,8,2,3,1,7] => [3,8,2,6,4,5,1,7]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [6,7,8,3,4,2,1,5] => [6,4,5,8,1,2,3,7] => [8,1,2,6,4,5,3,7]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [5,6,4,8,3,2,1,7] => [2,3,8,6,5,4,1,7]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [7,8,6,4,2,3,1,5] => [5,6,4,8,3,1,2,7] => [3,1,8,6,5,4,2,7]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [8,6,7,4,2,3,1,5] => [5,6,4,8,2,3,1,7] => [3,8,2,6,5,4,1,7]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [8,6,7,3,2,4,1,5] => [5,4,6,8,2,3,1,7] => [3,8,2,5,4,6,1,7]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [4,5,6,8,3,2,1,7] => [2,3,8,4,5,6,1,7]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [7,8,6,2,3,4,1,5] => [4,5,6,8,3,1,2,7] => [3,1,8,4,5,6,2,7]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [8,6,7,2,3,4,1,5] => [4,5,6,8,2,3,1,7] => [3,8,2,4,5,6,1,7]
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [6,7,8,2,3,4,1,5] => [4,5,6,8,1,2,3,7] => [8,1,2,4,5,6,3,7]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,3,1,2,5] => [7,5,4,8,2,1,3,6] => [2,8,1,5,7,3,4,6]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [7,5,4,8,1,2,3,6] => [8,1,2,5,7,3,4,6]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [7,4,5,8,3,2,1,6] => [2,3,8,7,4,1,5,6]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [7,4,5,8,2,3,1,6] => [3,8,2,7,4,1,5,6]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [7,6,8,3,4,1,2,5] => [7,4,5,8,2,1,3,6] => [2,8,1,7,4,3,5,6]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [7,4,5,8,1,2,3,6] => [8,1,2,7,4,3,5,6]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [5,7,4,8,3,2,1,6] => [2,3,8,7,5,1,4,6]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,2,1,3,5] => [5,7,4,8,3,1,2,6] => [3,1,8,7,5,2,4,6]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [5,7,4,8,2,3,1,6] => [3,8,2,7,5,1,4,6]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,2,1,3,5] => [5,7,4,8,2,1,3,6] => [2,8,1,7,5,3,4,6]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [6,7,8,4,2,1,3,5] => [5,7,4,8,1,2,3,6] => [8,1,2,7,5,3,4,6]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [6,7,4,8,3,2,1,5] => [2,3,8,7,1,6,4,5]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [6,7,4,8,3,1,2,5] => [3,1,8,7,2,6,4,5]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,1,2,3,5] => [6,7,4,8,2,3,1,5] => [3,8,2,7,1,6,4,5]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,1,2,3,5] => [6,7,4,8,2,1,3,5] => [2,8,1,7,3,6,4,5]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [6,7,4,8,1,2,3,5] => [8,1,2,7,3,6,4,5]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [5,4,7,8,3,2,1,6] => [2,3,8,5,4,1,7,6]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [7,8,6,3,2,1,4,5] => [5,4,7,8,3,1,2,6] => [3,1,8,5,4,2,7,6]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [7,6,8,3,2,1,4,5] => [5,4,7,8,2,1,3,6] => [2,8,1,5,4,3,7,6]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [5,4,7,8,1,2,3,6] => [8,1,2,5,4,3,7,6]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [4,5,7,8,3,2,1,6] => [2,3,8,4,5,1,7,6]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [7,8,6,2,3,1,4,5] => [4,5,7,8,3,1,2,6] => [3,1,8,4,5,2,7,6]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [7,6,8,2,3,1,4,5] => [4,5,7,8,2,1,3,6] => [2,8,1,4,5,3,7,6]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [4,5,7,8,1,2,3,6] => [8,1,2,4,5,3,7,6]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [6,4,7,8,3,2,1,5] => [2,3,8,6,1,4,7,5]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [7,8,6,3,1,2,4,5] => [6,4,7,8,3,1,2,5] => [3,1,8,6,2,4,7,5]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [8,6,7,3,1,2,4,5] => [6,4,7,8,2,3,1,5] => [3,8,2,6,1,4,7,5]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [7,6,8,3,1,2,4,5] => [6,4,7,8,2,1,3,5] => [2,8,1,6,3,4,7,5]
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [6,7,8,3,1,2,4,5] => [6,4,7,8,1,2,3,5] => [8,1,2,6,3,4,7,5]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [4,6,7,8,3,2,1,5] => [2,3,8,4,1,6,7,5]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [4,6,7,8,2,3,1,5] => [3,8,2,4,1,6,7,5]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [7,6,8,2,1,3,4,5] => [4,6,7,8,2,1,3,5] => [2,8,1,4,3,6,7,5]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [4,6,7,8,1,2,3,5] => [8,1,2,4,3,6,7,5]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [5,6,7,8,3,2,1,4] => [2,3,8,1,5,6,7,4]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [5,6,7,8,3,1,2,4] => [3,1,8,2,5,6,7,4]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [5,6,7,8,2,3,1,4] => [3,8,2,1,5,6,7,4]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [5,6,7,8,2,1,3,4] => [2,8,1,3,5,6,7,4]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [5,6,7,8,1,2,3,4] => [8,1,2,3,5,6,7,4]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [6,5,4,3,8,2,1,7] => [2,8,4,5,6,3,1,7]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [6,5,4,3,8,1,2,7] => [8,1,4,5,6,3,2,7]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [8,7,4,5,3,2,1,6] => [6,5,3,4,8,2,1,7] => [2,8,5,3,6,4,1,7]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [6,4,5,3,8,2,1,7] => [2,8,5,6,4,3,1,7]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [8,7,4,3,5,2,1,6] => [6,4,3,5,8,2,1,7] => [2,8,4,6,3,5,1,7]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [8,7,3,4,5,2,1,6] => [6,3,4,5,8,2,1,7] => [2,8,6,3,4,5,1,7]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [7,8,3,4,5,2,1,6] => [6,3,4,5,8,1,2,7] => [8,1,6,3,4,5,2,7]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [5,6,3,4,8,2,1,7] => [2,8,6,3,5,4,1,7]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [5,4,6,3,8,2,1,7] => [2,8,6,5,4,3,1,7]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [8,7,5,2,3,4,1,6] => [4,5,6,3,8,2,1,7] => [2,8,6,4,5,3,1,7]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [7,8,5,2,3,4,1,6] => [4,5,6,3,8,1,2,7] => [8,1,6,4,5,3,2,7]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [7,8,4,3,2,5,1,6] => [5,4,3,6,8,1,2,7] => [8,1,4,5,3,6,2,7]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [8,7,3,4,2,5,1,6] => [5,3,4,6,8,2,1,7] => [2,8,5,3,4,6,1,7]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [8,7,4,2,3,5,1,6] => [4,5,3,6,8,2,1,7] => [2,8,5,4,3,6,1,7]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [7,8,4,2,3,5,1,6] => [4,5,3,6,8,1,2,7] => [8,1,5,4,3,6,2,7]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [8,7,2,3,4,5,1,6] => [3,4,5,6,8,2,1,7] => [2,8,3,4,5,6,1,7]
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [7,8,2,3,4,5,1,6] => [3,4,5,6,8,1,2,7] => [8,1,3,4,5,6,2,7]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [7,5,4,3,8,2,1,6] => [2,8,4,5,7,1,3,6]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [8,7,5,3,4,1,2,6] => [7,4,5,3,8,2,1,6] => [2,8,5,7,4,1,3,6]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [7,8,4,3,5,1,2,6] => [7,4,3,5,8,1,2,6] => [8,1,4,7,3,2,5,6]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [7,3,4,5,8,2,1,6] => [2,8,7,3,4,1,5,6]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [7,8,3,4,5,1,2,6] => [7,3,4,5,8,1,2,6] => [8,1,7,3,4,2,5,6]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,2,1,3,6] => [5,7,4,3,8,2,1,6] => [2,8,4,7,5,1,3,6]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [5,7,4,3,8,1,2,6] => [8,1,4,7,5,2,3,6]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [7,8,4,5,2,1,3,6] => [5,7,3,4,8,1,2,6] => [8,1,7,3,5,2,4,6]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [6,7,4,3,8,1,2,5] => [8,1,4,7,2,6,3,5]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [6,7,3,4,8,1,2,5] => [8,1,7,3,2,6,4,5]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [5,4,7,3,8,2,1,6] => [2,8,7,5,4,1,3,6]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [7,8,5,3,2,1,4,6] => [5,4,7,3,8,1,2,6] => [8,1,7,5,4,2,3,6]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [6,4,7,3,8,2,1,5] => [2,8,7,6,1,4,3,5]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [7,8,5,3,1,2,4,6] => [6,4,7,3,8,1,2,5] => [8,1,7,6,2,4,3,5]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [4,6,7,3,8,2,1,5] => [2,8,7,4,1,6,3,5]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [4,6,7,3,8,1,2,5] => [8,1,7,4,2,6,3,5]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [5,6,7,3,8,2,1,4] => [2,8,7,1,5,6,3,4]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [5,6,7,3,8,1,2,4] => [8,1,7,2,5,6,3,4]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [5,4,3,7,8,2,1,6] => [2,8,4,5,3,1,7,6]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [5,4,3,7,8,1,2,6] => [8,1,4,5,3,2,7,6]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [8,7,3,4,2,1,5,6] => [5,3,4,7,8,2,1,6] => [2,8,5,3,4,1,7,6]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [7,8,3,4,2,1,5,6] => [5,3,4,7,8,1,2,6] => [8,1,5,3,4,2,7,6]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [7,8,4,2,3,1,5,6] => [4,5,3,7,8,1,2,6] => [8,1,5,4,3,2,7,6]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [3,4,5,7,8,1,2,6] => [8,1,3,4,5,2,7,6]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [7,8,4,3,1,2,5,6] => [6,4,3,7,8,1,2,5] => [8,1,4,6,2,3,7,5]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [8,7,3,4,1,2,5,6] => [6,3,4,7,8,2,1,5] => [2,8,6,3,1,4,7,5]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [4,6,3,7,8,2,1,5] => [2,8,6,4,1,3,7,5]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [4,6,3,7,8,1,2,5] => [8,1,6,4,2,3,7,5]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [5,6,3,7,8,2,1,4] => [2,8,6,1,5,3,7,4]
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [7,8,4,1,2,3,5,6] => [5,6,3,7,8,1,2,4] => [8,1,6,2,5,3,7,4]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [4,3,6,7,8,2,1,5] => [2,8,4,3,1,6,7,5]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [4,3,6,7,8,1,2,5] => [8,1,4,3,2,6,7,5]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [8,7,2,3,1,4,5,6] => [3,4,6,7,8,2,1,5] => [2,8,3,4,1,6,7,5]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [3,4,6,7,8,1,2,5] => [8,1,3,4,2,6,7,5]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [3,5,6,7,8,2,1,4] => [2,8,3,1,5,6,7,4]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [3,5,6,7,8,1,2,4] => [8,1,3,2,5,6,7,4]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [4,5,6,7,8,2,1,3] => [2,8,1,4,5,6,7,3]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [4,5,6,7,8,1,2,3] => [8,1,2,4,5,6,7,3]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [6,5,4,3,2,8,1,7] => [8,3,4,5,6,2,1,7]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [8,6,4,5,3,2,1,7] => [6,5,3,4,2,8,1,7] => [8,4,5,3,6,2,1,7]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [8,5,4,6,3,2,1,7] => [6,5,3,2,4,8,1,7] => [8,3,5,2,6,4,1,7]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [6,5,2,3,4,8,1,7] => [8,5,2,3,6,4,1,7]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [6,4,5,3,2,8,1,7] => [8,3,5,6,4,2,1,7]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [8,5,6,3,4,2,1,7] => [6,4,5,2,3,8,1,7] => [8,5,2,6,4,3,1,7]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [8,6,4,3,5,2,1,7] => [6,4,3,5,2,8,1,7] => [8,5,4,6,3,2,1,7]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [8,5,4,3,6,2,1,7] => [6,4,3,2,5,8,1,7] => [8,3,4,6,2,5,1,7]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [8,4,5,3,6,2,1,7] => [6,4,2,3,5,8,1,7] => [8,4,2,6,3,5,1,7]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [6,3,2,4,5,8,1,7] => [8,3,6,2,4,5,1,7]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [8,3,4,5,6,2,1,7] => [6,2,3,4,5,8,1,7] => [8,6,2,3,4,5,1,7]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [5,6,4,3,2,8,1,7] => [8,3,4,6,5,2,1,7]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [8,5,6,4,2,3,1,7] => [5,6,4,2,3,8,1,7] => [8,4,2,6,5,3,1,7]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,2,3,1,7] => [5,6,3,4,2,8,1,7] => [8,4,6,3,5,2,1,7]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [8,6,5,2,3,4,1,7] => [4,5,6,3,2,8,1,7] => [8,3,6,4,5,2,1,7]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [8,5,6,2,3,4,1,7] => [4,5,6,2,3,8,1,7] => [8,6,2,4,5,3,1,7]
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [8,6,3,4,2,5,1,7] => [5,3,4,6,2,8,1,7] => [8,6,5,3,4,2,1,7]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [8,6,4,2,3,5,1,7] => [4,5,3,6,2,8,1,7] => [8,6,5,4,3,2,1,7]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [4,3,5,6,2,8,1,7] => [8,6,4,3,5,2,1,7]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [5,4,3,2,6,8,1,7] => [8,3,4,5,2,6,1,7]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [8,4,5,3,2,6,1,7] => [5,4,2,3,6,8,1,7] => [8,4,2,5,3,6,1,7]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [5,3,2,4,6,8,1,7] => [8,3,5,2,4,6,1,7]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [8,3,4,5,2,6,1,7] => [5,2,3,4,6,8,1,7] => [8,5,2,3,4,6,1,7]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,6,8,1,7] => [8,5,4,3,2,6,1,7]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [8,4,3,2,5,6,1,7] => [4,3,2,5,6,8,1,7] => [8,3,4,2,5,6,1,7]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [8,3,4,2,5,6,1,7] => [4,2,3,5,6,8,1,7] => [8,4,2,3,5,6,1,7]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [8,4,2,3,5,6,1,7] => [3,4,2,5,6,8,1,7] => [8,4,3,2,5,6,1,7]
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [3,2,4,5,6,8,1,7] => [8,3,2,4,5,6,1,7]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [2,3,4,5,6,8,1,7] => [8,2,3,4,5,6,1,7]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [7,5,4,3,2,8,1,6] => [8,3,4,5,7,1,2,6]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,3,1,2,7] => [7,5,3,4,2,8,1,6] => [8,4,5,3,7,1,2,6]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [8,5,4,6,3,1,2,7] => [7,5,3,2,4,8,1,6] => [8,3,5,2,7,1,4,6]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [7,4,5,3,2,8,1,6] => [8,3,5,7,4,1,2,6]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [7,4,5,2,3,8,1,6] => [8,5,2,7,4,1,3,6]
[[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [8,6,4,3,5,1,2,7] => [7,4,3,5,2,8,1,6] => [8,5,4,7,3,1,2,6]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [8,6,3,4,5,1,2,7] => [7,3,4,5,2,8,1,6] => [8,5,7,3,4,1,2,6]
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [8,5,4,3,6,1,2,7] => [7,4,3,2,5,8,1,6] => [8,3,4,7,2,1,5,6]
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [7,2,3,4,5,8,1,6] => [8,7,2,3,4,1,5,6]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [5,7,4,3,2,8,1,6] => [8,3,4,7,5,1,2,6]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,2,1,3,7] => [5,7,4,2,3,8,1,6] => [8,4,2,7,5,1,3,6]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,2,1,3,7] => [5,7,3,4,2,8,1,6] => [8,4,7,3,5,1,2,6]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [6,7,3,4,2,8,1,5] => [8,4,7,3,1,6,2,5]
[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [8,5,4,6,1,2,3,7] => [6,7,3,2,4,8,1,5] => [8,3,7,2,1,6,4,5]
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [6,7,2,3,4,8,1,5] => [8,7,2,3,1,6,4,5]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [5,4,7,3,2,8,1,6] => [8,3,7,5,4,1,2,6]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [4,5,7,3,2,8,1,6] => [8,3,7,4,5,1,2,6]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [4,5,7,2,3,8,1,6] => [8,7,2,4,5,1,3,6]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [8,5,6,3,1,2,4,7] => [6,4,7,2,3,8,1,5] => [8,7,2,6,1,4,3,5]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [4,6,7,3,2,8,1,5] => [8,3,7,4,1,6,2,5]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [4,6,7,2,3,8,1,5] => [8,7,2,4,1,6,3,5]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [5,6,7,3,2,8,1,4] => [8,3,7,1,5,6,2,4]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [5,6,7,2,3,8,1,4] => [8,7,2,1,5,6,3,4]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [5,4,3,7,2,8,1,6] => [8,7,4,5,3,1,2,6]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [5,3,4,7,2,8,1,6] => [8,7,5,3,4,1,2,6]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [8,6,4,2,3,1,5,7] => [4,5,3,7,2,8,1,6] => [8,7,5,4,3,1,2,6]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,5,7,2,8,1,6] => [8,7,4,3,5,1,2,6]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [8,6,4,3,1,2,5,7] => [6,4,3,7,2,8,1,5] => [8,7,4,6,1,3,2,5]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [4,6,3,7,2,8,1,5] => [8,7,6,4,1,3,2,5]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [5,6,3,7,2,8,1,4] => [8,7,6,1,5,3,2,4]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [8,6,3,2,1,4,5,7] => [4,3,6,7,2,8,1,5] => [8,7,4,3,1,6,2,5]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [8,6,2,3,1,4,5,7] => [3,4,6,7,2,8,1,5] => [8,7,3,4,1,6,2,5]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [4,5,6,7,2,8,1,3] => [8,7,1,4,5,6,2,3]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [5,4,3,2,7,8,1,6] => [8,3,4,5,2,1,7,6]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [8,4,3,5,2,1,6,7] => [5,3,2,4,7,8,1,6] => [8,3,5,2,4,1,7,6]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [5,2,3,4,7,8,1,6] => [8,5,2,3,4,1,7,6]
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [8,5,4,2,3,1,6,7] => [4,5,3,2,7,8,1,6] => [8,3,5,4,2,1,7,6]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [3,4,5,2,7,8,1,6] => [8,5,3,4,2,1,7,6]
[[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [8,3,2,4,5,1,6,7] => [3,2,4,5,7,8,1,6] => [8,3,2,4,5,1,7,6]
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [2,3,4,5,7,8,1,6] => [8,2,3,4,5,1,7,6]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [8,5,4,3,1,2,6,7] => [6,4,3,2,7,8,1,5] => [8,3,4,6,1,2,7,5]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [8,5,3,4,1,2,6,7] => [6,3,4,2,7,8,1,5] => [8,4,6,3,1,2,7,5]
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [8,3,4,5,1,2,6,7] => [6,2,3,4,7,8,1,5] => [8,6,2,3,1,4,7,5]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [8,5,4,2,1,3,6,7] => [4,6,3,2,7,8,1,5] => [8,3,6,4,1,2,7,5]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [8,4,5,2,1,3,6,7] => [4,6,2,3,7,8,1,5] => [8,6,2,4,1,3,7,5]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [5,6,3,2,7,8,1,4] => [8,3,6,1,5,2,7,4]
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [8,4,5,1,2,3,6,7] => [5,6,2,3,7,8,1,4] => [8,6,2,1,5,3,7,4]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [8,5,3,2,1,4,6,7] => [4,3,6,2,7,8,1,5] => [8,6,4,3,1,2,7,5]
[[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [8,5,2,3,1,4,6,7] => [3,4,6,2,7,8,1,5] => [8,6,3,4,1,2,7,5]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [5,3,6,2,7,8,1,4] => [8,6,5,1,3,2,7,4]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [3,5,6,2,7,8,1,4] => [8,6,3,1,5,2,7,4]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [4,3,2,6,7,8,1,5] => [8,3,4,2,1,6,7,5]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [4,2,3,6,7,8,1,5] => [8,4,2,3,1,6,7,5]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [3,4,2,6,7,8,1,5] => [8,4,3,2,1,6,7,5]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [8,3,2,4,1,5,6,7] => [3,2,4,6,7,8,1,5] => [8,3,2,4,1,6,7,5]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [2,3,4,6,7,8,1,5] => [8,2,3,4,1,6,7,5]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [5,2,3,6,7,8,1,4] => [8,5,2,1,3,6,7,4]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [3,5,2,6,7,8,1,4] => [8,5,3,1,2,6,7,4]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [3,2,5,6,7,8,1,4] => [8,3,2,1,5,6,7,4]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [2,3,5,6,7,8,1,4] => [8,2,3,1,5,6,7,4]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [4,2,5,6,7,8,1,3] => [8,4,1,2,5,6,7,3]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [2,4,5,6,7,8,1,3] => [8,2,1,4,5,6,7,3]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [3,4,5,6,7,8,1,2] => [8,1,3,4,5,6,7,2]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [6,5,4,3,2,1,8,7] => [2,3,4,5,6,1,8,7]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [6,5,4,3,1,2,8,7] => [3,1,4,5,6,2,8,7]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [6,5,4,2,3,1,8,7] => [3,4,2,5,6,1,8,7]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [6,5,4,2,1,3,8,7] => [2,4,1,5,6,3,8,7]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [6,5,4,1,2,3,8,7] => [4,1,2,5,6,3,8,7]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [6,5,3,4,2,1,8,7] => [2,4,5,3,6,1,8,7]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [6,7,4,5,3,2,1,8] => [6,5,3,4,1,2,8,7] => [4,1,5,3,6,2,8,7]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [7,5,4,6,3,2,1,8] => [6,5,3,2,4,1,8,7] => [4,3,5,2,6,1,8,7]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [6,5,3,2,1,4,8,7] => [2,3,5,1,6,4,8,7]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [6,5,3,1,2,4,8,7] => [3,1,5,2,6,4,8,7]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [6,5,2,1,3,4,8,7] => [2,5,1,3,6,4,8,7]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [6,5,1,2,3,4,8,7] => [5,1,2,3,6,4,8,7]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [6,4,5,3,2,1,8,7] => [2,3,5,6,4,1,8,7]
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [6,7,5,3,4,2,1,8] => [6,4,5,3,1,2,8,7] => [3,1,5,6,4,2,8,7]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [6,4,5,2,3,1,8,7] => [3,5,2,6,4,1,8,7]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [6,4,5,1,2,3,8,7] => [5,1,2,6,4,3,8,7]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [6,4,3,5,2,1,8,7] => [2,5,4,6,3,1,8,7]
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [6,7,4,3,5,2,1,8] => [6,4,3,5,1,2,8,7] => [5,1,4,6,3,2,8,7]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [6,3,4,5,2,1,8,7] => [2,5,6,3,4,1,8,7]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [6,4,3,2,5,1,8,7] => [5,3,4,6,2,1,8,7]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [7,4,5,3,6,2,1,8] => [6,4,2,3,5,1,8,7] => [5,4,2,6,3,1,8,7]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [7,3,4,5,6,2,1,8] => [6,2,3,4,5,1,8,7] => [5,6,2,3,4,1,8,7]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [6,4,3,2,1,5,8,7] => [2,3,4,6,1,5,8,7]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [6,4,3,1,2,5,8,7] => [3,1,4,6,2,5,8,7]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [6,4,2,1,3,5,8,7] => [2,4,1,6,3,5,8,7]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [6,5,3,4,7,2,1,8] => [6,3,4,2,1,5,8,7] => [2,4,6,3,1,5,8,7]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [5,6,3,4,7,2,1,8] => [6,3,4,1,2,5,8,7] => [4,1,6,3,2,5,8,7]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [6,3,2,1,4,5,8,7] => [2,3,6,1,4,5,8,7]
[[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [4,5,3,6,7,2,1,8] => [6,3,1,2,4,5,8,7] => [3,1,6,2,4,5,8,7]
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [6,1,2,3,4,5,8,7] => [6,1,2,3,4,5,8,7]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [5,6,4,3,2,1,8,7] => [2,3,4,6,5,1,8,7]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [5,6,4,3,1,2,8,7] => [3,1,4,6,5,2,8,7]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [5,6,4,2,3,1,8,7] => [3,4,2,6,5,1,8,7]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [5,6,4,1,2,3,8,7] => [4,1,2,6,5,3,8,7]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [5,6,3,4,2,1,8,7] => [2,4,6,3,5,1,8,7]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [5,6,3,4,1,2,8,7] => [4,1,6,3,5,2,8,7]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [7,5,4,6,2,3,1,8] => [5,6,3,2,4,1,8,7] => [4,3,6,2,5,1,8,7]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [6,5,4,7,2,3,1,8] => [5,6,3,2,1,4,8,7] => [2,3,6,1,5,4,8,7]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [5,6,3,1,2,4,8,7] => [3,1,6,2,5,4,8,7]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [5,4,6,7,2,3,1,8] => [5,6,2,1,3,4,8,7] => [2,6,1,3,5,4,8,7]
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [4,5,6,7,2,3,1,8] => [5,6,1,2,3,4,8,7] => [6,1,2,3,5,4,8,7]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [7,6,5,3,2,4,1,8] => [5,4,6,3,2,1,8,7] => [2,3,6,5,4,1,8,7]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [7,5,6,3,2,4,1,8] => [5,4,6,2,3,1,8,7] => [3,6,2,5,4,1,8,7]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [5,4,6,2,1,3,8,7] => [2,6,1,5,4,3,8,7]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [5,4,6,1,2,3,8,7] => [6,1,2,5,4,3,8,7]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [4,5,6,3,2,1,8,7] => [2,3,6,4,5,1,8,7]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [4,5,6,3,1,2,8,7] => [3,1,6,4,5,2,8,7]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [4,5,6,2,3,1,8,7] => [3,6,2,4,5,1,8,7]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [4,5,6,2,1,3,8,7] => [2,6,1,4,5,3,8,7]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [4,5,6,1,2,3,8,7] => [6,1,2,4,5,3,8,7]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [7,6,4,3,2,5,1,8] => [5,4,3,6,2,1,8,7] => [2,6,4,5,3,1,8,7]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [6,7,4,3,2,5,1,8] => [5,4,3,6,1,2,8,7] => [6,1,4,5,3,2,8,7]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [4,5,3,6,2,1,8,7] => [2,6,5,4,3,1,8,7]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [4,3,5,6,2,1,8,7] => [2,6,4,3,5,1,8,7]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [6,7,3,2,4,5,1,8] => [4,3,5,6,1,2,8,7] => [6,1,4,3,5,2,8,7]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [7,6,2,3,4,5,1,8] => [3,4,5,6,2,1,8,7] => [2,6,3,4,5,1,8,7]
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [6,7,2,3,4,5,1,8] => [3,4,5,6,1,2,8,7] => [6,1,3,4,5,2,8,7]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [5,4,3,2,6,1,8,7] => [6,3,4,5,2,1,8,7]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [7,4,5,3,2,6,1,8] => [5,4,2,3,6,1,8,7] => [6,4,2,5,3,1,8,7]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [7,5,3,4,2,6,1,8] => [5,3,4,2,6,1,8,7] => [6,4,5,3,2,1,8,7]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [7,4,3,5,2,6,1,8] => [5,3,2,4,6,1,8,7] => [6,3,5,2,4,1,8,7]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [7,3,4,5,2,6,1,8] => [5,2,3,4,6,1,8,7] => [6,5,2,3,4,1,8,7]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [7,5,4,2,3,6,1,8] => [4,5,3,2,6,1,8,7] => [6,3,5,4,2,1,8,7]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [7,4,5,2,3,6,1,8] => [4,5,2,3,6,1,8,7] => [6,5,2,4,3,1,8,7]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [4,3,5,2,6,1,8,7] => [6,5,4,3,2,1,8,7]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [7,4,3,2,5,6,1,8] => [4,3,2,5,6,1,8,7] => [6,3,4,2,5,1,8,7]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [7,4,2,3,5,6,1,8] => [3,4,2,5,6,1,8,7] => [6,4,3,2,5,1,8,7]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,1,8,7] => [6,2,3,4,5,1,8,7]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [5,4,3,2,1,6,8,7] => [2,3,4,5,1,6,8,7]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [5,3,4,1,2,6,8,7] => [4,1,5,3,2,6,8,7]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [6,4,3,5,2,7,1,8] => [5,3,2,4,1,6,8,7] => [4,3,5,2,1,6,8,7]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [5,2,3,4,1,6,8,7] => [4,5,2,3,1,6,8,7]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [5,3,2,1,4,6,8,7] => [2,3,5,1,4,6,8,7]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [5,3,1,2,4,6,8,7] => [3,1,5,2,4,6,8,7]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [5,2,3,1,4,6,8,7] => [3,5,2,1,4,6,8,7]
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [5,1,2,3,4,6,8,7] => [5,1,2,3,4,6,8,7]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [6,5,4,2,3,7,1,8] => [4,5,3,2,1,6,8,7] => [2,3,5,4,1,6,8,7]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [6,4,5,2,3,7,1,8] => [4,5,2,3,1,6,8,7] => [3,5,2,4,1,6,8,7]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [4,3,5,2,1,6,8,7] => [2,5,4,3,1,6,8,7]
[[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [6,5,2,3,4,7,1,8] => [3,4,5,2,1,6,8,7] => [2,5,3,4,1,6,8,7]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [6,3,4,2,5,7,1,8] => [4,2,3,5,1,6,8,7] => [5,4,2,3,1,6,8,7]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [6,2,3,4,5,7,1,8] => [2,3,4,5,1,6,8,7] => [5,2,3,4,1,6,8,7]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [4,3,2,1,5,6,8,7] => [2,3,4,1,5,6,8,7]
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [4,5,3,2,6,7,1,8] => [4,3,1,2,5,6,8,7] => [3,1,4,2,5,6,8,7]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [4,3,5,2,6,7,1,8] => [4,2,1,3,5,6,8,7] => [2,4,1,3,5,6,8,7]
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [4,1,2,3,5,6,8,7] => [4,1,2,3,5,6,8,7]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [5,4,2,3,6,7,1,8] => [3,4,2,1,5,6,8,7] => [2,4,3,1,5,6,8,7]
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [4,5,2,3,6,7,1,8] => [3,4,1,2,5,6,8,7] => [4,1,3,2,5,6,8,7]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [5,3,2,4,6,7,1,8] => [3,2,4,1,5,6,8,7] => [4,3,2,1,5,6,8,7]
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [5,2,3,4,6,7,1,8] => [2,3,4,1,5,6,8,7] => [4,2,3,1,5,6,8,7]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [3,2,1,4,5,6,8,7] => [2,3,1,4,5,6,8,7]
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [3,1,2,4,5,6,8,7] => [3,1,2,4,5,6,8,7]
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [4,2,3,5,6,7,1,8] => [2,3,1,4,5,6,8,7] => [3,2,1,4,5,6,8,7]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7]
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [7,5,4,3,2,1,8,6] => [2,3,4,5,7,8,1,6]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [7,5,4,2,3,1,8,6] => [3,4,2,5,7,8,1,6]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [5,6,7,4,3,1,2,8] => [7,5,4,1,2,3,8,6] => [4,1,2,5,7,8,3,6]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [7,5,4,6,3,1,2,8] => [7,5,3,2,4,1,8,6] => [4,3,5,2,7,8,1,6]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [7,5,1,2,3,4,8,6] => [5,1,2,3,7,8,4,6]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [7,5,6,3,4,1,2,8] => [7,4,5,2,3,1,8,6] => [3,5,2,7,4,8,1,6]
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [5,6,7,3,4,1,2,8] => [7,4,5,1,2,3,8,6] => [5,1,2,7,4,8,3,6]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [6,7,3,4,5,1,2,8] => [7,3,4,5,1,2,8,6] => [5,1,7,3,4,8,2,6]
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [7,5,4,3,6,1,2,8] => [7,4,3,2,5,1,8,6] => [5,3,4,7,2,8,1,6]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [7,4,5,3,6,1,2,8] => [7,4,2,3,5,1,8,6] => [5,4,2,7,3,8,1,6]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [7,4,3,5,6,1,2,8] => [7,3,2,4,5,1,8,6] => [5,3,7,2,4,8,1,6]
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [7,3,4,5,6,1,2,8] => [7,2,3,4,5,1,8,6] => [5,7,2,3,4,8,1,6]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [6,5,4,3,7,1,2,8] => [7,4,3,2,1,5,8,6] => [2,3,4,7,1,8,5,6]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [6,5,3,4,7,1,2,8] => [7,3,4,2,1,5,8,6] => [2,4,7,3,1,8,5,6]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [7,3,4,1,2,5,8,6] => [4,1,7,3,2,8,5,6]
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [6,3,4,5,7,1,2,8] => [7,2,3,4,1,5,8,6] => [4,7,2,3,1,8,5,6]
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [4,5,3,6,7,1,2,8] => [7,3,1,2,4,5,8,6] => [3,1,7,2,4,8,5,6]
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [5,3,4,6,7,1,2,8] => [7,2,3,1,4,5,8,6] => [3,7,2,1,4,8,5,6]
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [4,3,5,6,7,1,2,8] => [7,2,1,3,4,5,8,6] => [2,7,1,3,4,8,5,6]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [7,1,2,3,4,5,8,6] => [7,1,2,3,4,8,5,6]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [5,7,4,3,2,1,8,6] => [2,3,4,7,5,8,1,6]
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,2,1,3,8] => [5,7,4,2,1,3,8,6] => [2,4,1,7,5,8,3,6]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [5,6,7,4,2,1,3,8] => [5,7,4,1,2,3,8,6] => [4,1,2,7,5,8,3,6]
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,2,1,3,8] => [5,7,3,4,2,1,8,6] => [2,4,7,3,5,8,1,6]
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [6,7,4,5,2,1,3,8] => [5,7,3,4,1,2,8,6] => [4,1,7,3,5,8,2,6]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [5,7,3,2,4,1,8,6] => [4,3,7,2,5,8,1,6]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [7,4,5,6,2,1,3,8] => [5,7,2,3,4,1,8,6] => [4,7,2,3,5,8,1,6]
[[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [5,6,4,7,2,1,3,8] => [5,7,3,1,2,4,8,6] => [3,1,7,2,5,8,4,6]
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [4,5,6,7,2,1,3,8] => [5,7,1,2,3,4,8,6] => [7,1,2,3,5,8,4,6]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [7,5,6,4,1,2,3,8] => [6,7,4,2,3,1,8,5] => [3,4,2,7,8,6,1,5]
[[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,1,2,3,8] => [6,7,4,2,1,3,8,5] => [2,4,1,7,8,6,3,5]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [6,7,4,1,2,3,8,5] => [4,1,2,7,8,6,3,5]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,1,2,3,8] => [6,7,3,4,2,1,8,5] => [2,4,7,3,8,6,1,5]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,1,2,3,8] => [6,7,3,2,4,1,8,5] => [4,3,7,2,8,6,1,5]
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [6,7,2,3,4,1,8,5] => [4,7,2,3,8,6,1,5]
[[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [6,5,4,7,1,2,3,8] => [6,7,3,2,1,4,8,5] => [2,3,7,1,8,6,4,5]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [6,7,3,1,2,4,8,5] => [3,1,7,2,8,6,4,5]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [6,7,2,1,3,4,8,5] => [2,7,1,3,8,6,4,5]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [6,7,1,2,3,4,8,5] => [7,1,2,3,8,6,4,5]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [6,7,5,2,3,1,4,8] => [4,5,7,3,1,2,8,6] => [3,1,7,4,5,8,2,6]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [7,5,6,2,3,1,4,8] => [4,5,7,2,3,1,8,6] => [3,7,2,4,5,8,1,6]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [4,5,7,1,2,3,8,6] => [7,1,2,4,5,8,3,6]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [7,6,5,3,1,2,4,8] => [6,4,7,3,2,1,8,5] => [2,3,7,6,8,4,1,5]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [6,7,5,3,1,2,4,8] => [6,4,7,3,1,2,8,5] => [3,1,7,6,8,4,2,5]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [7,5,6,3,1,2,4,8] => [6,4,7,2,3,1,8,5] => [3,7,2,6,8,4,1,5]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [6,4,7,1,2,3,8,5] => [7,1,2,6,8,4,3,5]
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [4,6,7,1,2,3,8,5] => [7,1,2,4,8,6,3,5]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [5,6,7,3,2,1,8,4] => [2,3,7,8,5,6,1,4]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [5,6,7,3,1,2,8,4] => [3,1,7,8,5,6,2,4]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [5,6,7,2,3,1,8,4] => [3,7,2,8,5,6,1,4]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [5,6,7,2,1,3,8,4] => [2,7,1,8,5,6,3,4]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [5,6,7,1,2,3,8,4] => [7,1,2,8,5,6,3,4]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [6,7,4,3,2,1,5,8] => [5,4,3,7,1,2,8,6] => [7,1,4,5,3,8,2,6]
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [6,7,4,2,3,1,5,8] => [4,5,3,7,1,2,8,6] => [7,1,5,4,3,8,2,6]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [7,6,2,3,4,1,5,8] => [3,4,5,7,2,1,8,6] => [2,7,3,4,5,8,1,6]
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [6,7,2,3,4,1,5,8] => [3,4,5,7,1,2,8,6] => [7,1,3,4,5,8,2,6]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [6,4,3,7,2,1,8,5] => [2,7,4,6,8,3,1,5]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [6,7,4,3,1,2,5,8] => [6,4,3,7,1,2,8,5] => [7,1,4,6,8,3,2,5]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [4,6,3,7,2,1,8,5] => [2,7,6,4,8,3,1,5]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [4,3,6,7,2,1,8,5] => [2,7,4,3,8,6,1,5]
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [6,7,2,3,1,4,5,8] => [3,4,6,7,1,2,8,5] => [7,1,3,4,8,6,2,5]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [7,6,3,1,2,4,5,8] => [5,3,6,7,2,1,8,4] => [2,7,5,8,3,6,1,4]
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [6,7,3,1,2,4,5,8] => [5,3,6,7,1,2,8,4] => [7,1,5,8,3,6,2,4]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [4,5,6,7,2,1,8,3] => [2,7,8,4,5,6,1,3]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [4,5,6,7,1,2,8,3] => [7,1,8,4,5,6,2,3]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [5,4,3,2,7,1,8,6] => [7,3,4,5,2,8,1,6]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [7,5,3,4,2,1,6,8] => [5,3,4,2,7,1,8,6] => [7,4,5,3,2,8,1,6]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [7,4,3,5,2,1,6,8] => [5,3,2,4,7,1,8,6] => [7,3,5,2,4,8,1,6]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [7,3,4,5,2,1,6,8] => [5,2,3,4,7,1,8,6] => [7,5,2,3,4,8,1,6]
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [7,5,4,2,3,1,6,8] => [4,5,3,2,7,1,8,6] => [7,3,5,4,2,8,1,6]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [7,4,5,2,3,1,6,8] => [4,5,2,3,7,1,8,6] => [7,5,2,4,3,8,1,6]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [4,3,5,2,7,1,8,6] => [7,5,4,3,2,8,1,6]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [7,4,3,2,5,1,6,8] => [4,3,2,5,7,1,8,6] => [7,3,4,2,5,8,1,6]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [2,3,4,5,7,1,8,6] => [7,2,3,4,5,8,1,6]
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [7,4,3,5,1,2,6,8] => [6,3,2,4,7,1,8,5] => [7,3,6,2,8,4,1,5]
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [7,3,4,5,1,2,6,8] => [6,2,3,4,7,1,8,5] => [7,6,2,3,8,4,1,5]
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [7,4,5,2,1,3,6,8] => [4,6,2,3,7,1,8,5] => [7,6,2,4,8,3,1,5]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [7,5,4,1,2,3,6,8] => [5,6,3,2,7,1,8,4] => [7,3,6,8,5,2,1,4]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [7,5,3,2,1,4,6,8] => [4,3,6,2,7,1,8,5] => [7,6,4,3,8,2,1,5]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [5,3,6,2,7,1,8,4] => [7,6,5,8,3,2,1,4]
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [7,5,2,1,3,4,6,8] => [3,5,6,2,7,1,8,4] => [7,6,3,8,5,2,1,4]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [4,5,6,2,7,1,8,3] => [7,6,8,4,5,2,1,3]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [4,3,2,6,7,1,8,5] => [7,3,4,2,8,6,1,5]
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [7,4,2,3,1,5,6,8] => [3,4,2,6,7,1,8,5] => [7,4,3,2,8,6,1,5]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [7,4,3,1,2,5,6,8] => [5,3,2,6,7,1,8,4] => [7,3,5,8,2,6,1,4]
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [7,3,4,1,2,5,6,8] => [5,2,3,6,7,1,8,4] => [7,5,2,8,3,6,1,4]
[[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [7,4,2,1,3,5,6,8] => [3,5,2,6,7,1,8,4] => [7,5,3,8,2,6,1,4]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [4,5,2,6,7,1,8,3] => [7,5,8,4,2,6,1,3]
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [7,2,3,1,4,5,6,8] => [2,3,5,6,7,1,8,4] => [7,2,3,8,5,6,1,4]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [4,2,5,6,7,1,8,3] => [7,4,8,2,5,6,1,3]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [2,4,5,6,7,1,8,3] => [7,2,8,4,5,6,1,3]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [3,4,5,6,7,1,8,2] => [7,8,3,4,5,6,1,2]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [5,4,3,2,1,7,8,6] => [2,3,4,5,1,8,7,6]
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [6,4,5,3,2,1,7,8] => [5,4,2,3,1,7,8,6] => [3,4,2,5,1,8,7,6]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [5,4,2,1,3,7,8,6] => [2,4,1,5,3,8,7,6]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [5,4,1,2,3,7,8,6] => [4,1,2,5,3,8,7,6]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [5,3,4,2,1,7,8,6] => [2,4,5,3,1,8,7,6]
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [5,6,3,4,2,1,7,8] => [5,3,4,1,2,7,8,6] => [4,1,5,3,2,8,7,6]
[[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [6,3,4,5,2,1,7,8] => [5,2,3,4,1,7,8,6] => [4,5,2,3,1,8,7,6]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [5,3,2,1,4,7,8,6] => [2,3,5,1,4,8,7,6]
[[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [4,5,3,6,2,1,7,8] => [5,3,1,2,4,7,8,6] => [3,1,5,2,4,8,7,6]
[[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [5,3,4,6,2,1,7,8] => [5,2,3,1,4,7,8,6] => [3,5,2,1,4,8,7,6]
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [5,1,2,3,4,7,8,6] => [5,1,2,3,4,8,7,6]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [6,4,5,2,3,1,7,8] => [4,5,2,3,1,7,8,6] => [3,5,2,4,1,8,7,6]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [6,5,2,3,4,1,7,8] => [3,4,5,2,1,7,8,6] => [2,5,3,4,1,8,7,6]
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [5,6,2,3,4,1,7,8] => [3,4,5,1,2,7,8,6] => [5,1,3,4,2,8,7,6]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [6,4,3,2,5,1,7,8] => [4,3,2,5,1,7,8,6] => [5,3,4,2,1,8,7,6]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [6,3,4,2,5,1,7,8] => [4,2,3,5,1,7,8,6] => [5,4,2,3,1,8,7,6]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [6,4,2,3,5,1,7,8] => [3,4,2,5,1,7,8,6] => [5,4,3,2,1,8,7,6]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [6,2,3,4,5,1,7,8] => [2,3,4,5,1,7,8,6] => [5,2,3,4,1,8,7,6]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [4,3,2,1,5,7,8,6] => [2,3,4,1,5,8,7,6]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [5,3,4,2,6,1,7,8] => [4,2,3,1,5,7,8,6] => [3,4,2,1,5,8,7,6]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [4,2,1,3,5,7,8,6] => [2,4,1,3,5,8,7,6]
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [4,1,2,3,5,7,8,6] => [4,1,2,3,5,8,7,6]
[[[.,[[[.,.],[[.,.],.]],.]],.],.] => [4,5,2,3,6,1,7,8] => [3,4,1,2,5,7,8,6] => [4,1,3,2,5,8,7,6]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [5,3,2,4,6,1,7,8] => [3,2,4,1,5,7,8,6] => [4,3,2,1,5,8,7,6]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [2,3,4,1,5,7,8,6] => [4,2,3,1,5,8,7,6]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [3,2,1,4,5,7,8,6] => [2,3,1,4,5,8,7,6]
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [3,1,2,4,5,7,8,6] => [3,1,2,4,5,8,7,6]
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [4,2,3,5,6,1,7,8] => [2,3,1,4,5,7,8,6] => [3,2,1,4,5,8,7,6]
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [2,1,3,4,5,7,8,6] => [2,1,3,4,5,8,7,6]
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [6,4,3,2,1,7,8,5] => [2,3,4,6,8,1,7,5]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [6,4,3,1,2,7,8,5] => [3,1,4,6,8,2,7,5]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [6,4,2,1,3,7,8,5] => [2,4,1,6,8,3,7,5]
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [4,5,6,3,1,2,7,8] => [6,4,1,2,3,7,8,5] => [4,1,2,6,8,3,7,5]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [6,5,3,4,1,2,7,8] => [6,3,4,2,1,7,8,5] => [2,4,6,3,8,1,7,5]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [6,3,4,1,2,7,8,5] => [4,1,6,3,8,2,7,5]
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [6,3,4,5,1,2,7,8] => [6,2,3,4,1,7,8,5] => [4,6,2,3,8,1,7,5]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [6,3,2,1,4,7,8,5] => [2,3,6,1,8,4,7,5]
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [4,5,3,6,1,2,7,8] => [6,3,1,2,4,7,8,5] => [3,1,6,2,8,4,7,5]
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [5,3,4,6,1,2,7,8] => [6,2,3,1,4,7,8,5] => [3,6,2,1,8,4,7,5]
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [4,3,5,6,1,2,7,8] => [6,2,1,3,4,7,8,5] => [2,6,1,3,8,4,7,5]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [6,1,2,3,4,7,8,5] => [6,1,2,3,8,4,7,5]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [4,6,3,1,2,7,8,5] => [3,1,6,4,8,2,7,5]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [5,4,6,2,1,3,7,8] => [4,6,2,1,3,7,8,5] => [2,6,1,4,8,3,7,5]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [5,6,3,2,1,7,8,4] => [2,3,6,8,5,1,7,4]
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [5,6,4,1,2,3,7,8] => [5,6,3,1,2,7,8,4] => [3,1,6,8,5,2,7,4]
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [6,4,5,1,2,3,7,8] => [5,6,2,3,1,7,8,4] => [3,6,2,8,5,1,7,4]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [5,6,1,2,3,7,8,4] => [6,1,2,8,5,3,7,4]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [4,3,6,1,2,7,8,5] => [6,1,4,3,8,2,7,5]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [6,5,2,3,1,4,7,8] => [3,4,6,2,1,7,8,5] => [2,6,3,4,8,1,7,5]
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [5,6,2,3,1,4,7,8] => [3,4,6,1,2,7,8,5] => [6,1,3,4,8,2,7,5]
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [5,6,3,1,2,4,7,8] => [5,3,6,1,2,7,8,4] => [6,1,5,8,3,2,7,4]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [6,5,2,1,3,4,7,8] => [3,5,6,2,1,7,8,4] => [2,6,3,8,5,1,7,4]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [6,5,1,2,3,4,7,8] => [4,5,6,2,1,7,8,3] => [2,6,8,4,5,1,7,3]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [4,3,2,6,1,7,8,5] => [6,3,4,2,8,1,7,5]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [6,2,3,4,1,5,7,8] => [2,3,4,6,1,7,8,5] => [6,2,3,4,8,1,7,5]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [5,3,2,6,1,7,8,4] => [6,3,5,8,2,1,7,4]
[[[[[.,.],[[.,.],.]],[.,.]],.],.] => [6,3,4,1,2,5,7,8] => [5,2,3,6,1,7,8,4] => [6,5,2,8,3,1,7,4]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [3,5,2,6,1,7,8,4] => [6,5,3,8,2,1,7,4]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [3,2,5,6,1,7,8,4] => [6,3,2,8,5,1,7,4]
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [6,2,3,1,4,5,7,8] => [2,3,5,6,1,7,8,4] => [6,2,3,8,5,1,7,4]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [4,2,5,6,1,7,8,3] => [6,4,8,2,5,1,7,3]
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [6,2,1,3,4,5,7,8] => [2,4,5,6,1,7,8,3] => [6,2,8,4,5,1,7,3]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [3,4,5,6,1,7,8,2] => [6,8,3,4,5,1,7,2]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [4,3,2,1,6,7,8,5] => [2,3,4,1,8,6,7,5]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [4,3,1,2,6,7,8,5] => [3,1,4,2,8,6,7,5]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [4,2,3,1,6,7,8,5] => [3,4,2,1,8,6,7,5]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [4,2,1,3,6,7,8,5] => [2,4,1,3,8,6,7,5]
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [4,1,2,3,6,7,8,5] => [4,1,2,3,8,6,7,5]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [3,4,2,1,6,7,8,5] => [2,4,3,1,8,6,7,5]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [3,4,1,2,6,7,8,5] => [4,1,3,2,8,6,7,5]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [3,2,4,1,6,7,8,5] => [4,3,2,1,8,6,7,5]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [2,3,4,1,6,7,8,5] => [4,2,3,1,8,6,7,5]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [3,2,1,4,6,7,8,5] => [2,3,1,4,8,6,7,5]
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [3,1,2,4,6,7,8,5] => [3,1,2,4,8,6,7,5]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [2,3,1,4,6,7,8,5] => [3,2,1,4,8,6,7,5]
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [2,1,3,4,6,7,8,5] => [2,1,3,4,8,6,7,5]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,6,7,5]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [5,3,2,1,6,7,8,4] => [2,3,5,8,1,6,7,4]
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [4,5,3,1,2,6,7,8] => [5,3,1,2,6,7,8,4] => [3,1,5,8,2,6,7,4]
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [5,3,4,1,2,6,7,8] => [5,2,3,1,6,7,8,4] => [3,5,2,8,1,6,7,4]
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [4,3,5,1,2,6,7,8] => [5,2,1,3,6,7,8,4] => [2,5,1,8,3,6,7,4]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [5,1,2,3,6,7,8,4] => [5,1,2,8,3,6,7,4]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [3,5,2,1,6,7,8,4] => [2,5,3,8,1,6,7,4]
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [4,5,2,1,3,6,7,8] => [3,5,1,2,6,7,8,4] => [5,1,3,8,2,6,7,4]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [4,5,2,1,6,7,8,3] => [2,5,8,4,1,6,7,3]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [4,5,1,2,6,7,8,3] => [5,1,8,4,2,6,7,3]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [3,2,5,1,6,7,8,4] => [5,3,2,8,1,6,7,4]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [2,3,5,1,6,7,8,4] => [5,2,3,8,1,6,7,4]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [4,2,5,1,6,7,8,3] => [5,4,8,2,1,6,7,3]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [3,4,5,1,6,7,8,2] => [5,8,3,4,1,6,7,2]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [3,2,1,5,6,7,8,4] => [2,3,1,8,5,6,7,4]
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [3,1,2,5,6,7,8,4] => [3,1,2,8,5,6,7,4]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [2,3,1,5,6,7,8,4] => [3,2,1,8,5,6,7,4]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [2,1,3,5,6,7,8,4] => [2,1,3,8,5,6,7,4]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [4,2,1,5,6,7,8,3] => [2,4,8,1,5,6,7,3]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [4,1,2,5,6,7,8,3] => [4,1,8,2,5,6,7,3]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [2,4,1,5,6,7,8,3] => [4,2,8,1,5,6,7,3]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [3,4,1,5,6,7,8,2] => [4,8,3,1,5,6,7,2]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [2,1,4,5,6,7,8,3] => [2,1,8,4,5,6,7,3]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [1,2,4,5,6,7,8,3] => [1,2,8,4,5,6,7,3]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [3,1,4,5,6,7,8,2] => [3,8,1,4,5,6,7,2]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [1,3,4,5,6,7,8,2] => [1,8,3,4,5,6,7,2]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,1,9]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [8,7,6,5,4,3,1,2,9] => [3,1,4,5,6,7,8,2,9]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [8,1,2,3,4,5,6,7,9] => [8,1,2,3,4,5,6,7,9]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,1] => [9,2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,1,10]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [9,8,7,6,1,2,3,4,5,10] => [6,1,2,3,4,7,8,9,5,10]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [9,1,2,3,4,5,6,7,8,10] => [9,1,2,3,4,5,6,7,8,10]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,1,2] => [9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [2,3,4,5,6,7,8,9,10,1] => [10,2,3,4,5,6,7,8,9,1]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [8,7,6,5,4,2,1,3,9] => [2,4,1,5,6,7,8,3,9]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [8,7,6,5,3,2,1,4,9] => [2,3,5,1,6,7,8,4,9]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [8,7,5,4,3,2,1,6,9] => [2,3,4,5,7,1,8,6,9]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [8,6,5,4,3,2,1,7,9] => [2,3,4,5,6,8,1,7,9]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,1,8,9]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [7,6,5,4,3,2,1,9,8] => [2,3,4,5,6,7,1,9,8]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [9,8,7,6,5,4,2,1,3,10] => [2,4,1,5,6,7,8,9,3,10]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [9,8,7,6,5,3,2,1,4,10] => [2,3,5,1,6,7,8,9,4,10]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [9,8,7,5,4,3,2,1,6,10] => [2,3,4,5,7,1,8,9,6,10]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [9,8,6,5,4,3,2,1,7,10] => [2,3,4,5,6,8,1,9,7,10]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [8,6,5,4,3,2,1,9,7] => [2,3,4,5,6,8,9,1,7]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [8,7,6,5,4,3,2,1,9,10] => [2,3,4,5,6,7,8,1,9,10]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [8,7,6,5,4,3,2,1,10,9] => [2,3,4,5,6,7,8,1,10,9]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => [10,7,8,5,6,3,4,1,2,9] => [4,1,6,3,8,5,10,7,2,9]
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [10,8,6,4,2,3,5,7,9,1] => [5,6,4,7,3,8,2,9,1,10] => [9,8,7,6,5,4,3,2,1,10]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [3,4,5,6,7,8,9,1,2] => [9,1,3,4,5,6,7,8,2]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [3,4,5,6,7,8,9,10,1,2] => [10,1,3,4,5,6,7,8,9,2]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [2,4,5,6,7,8,9,1,3] => [9,2,1,4,5,6,7,8,3]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [3,4,5,6,7,8,9,10,11,1,2] => [11,1,3,4,5,6,7,8,9,10,2]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [2,4,5,6,7,8,9,10,1,3] => [10,2,1,4,5,6,7,8,9,3]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [4,2,5,6,7,8,9,1,3] => [9,4,1,2,5,6,7,8,3]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [4,2,3,5,6,7,8,9,1] => [2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [3,1,2,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [4,5,6,7,8,9,1,2,3] => [9,1,2,4,5,6,7,8,3]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [7,8,9,1,2,3,4,5,6] => [5,6,7,8,9,1,2,3,4] => [9,1,2,3,5,6,7,8,4]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [6,7,8,9,1,2,3,4,5] => [6,7,8,9,1,2,3,4,5] => [9,1,2,3,4,6,7,8,5]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [5,6,7,8,9,1,2,3,4] => [7,8,9,1,2,3,4,5,6] => [9,1,2,3,4,5,7,8,6]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [4,5,6,7,8,9,1,2,3] => [8,9,1,2,3,4,5,6,7] => [9,1,2,3,4,5,6,8,7]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [4,5,6,7,8,9,2,1,3] => [2,9,1,4,5,6,7,8,3]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [4,5,6,7,8,9,10,1,2,3] => [10,1,2,4,5,6,7,8,9,3]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [8,7,9,1,2,3,4,5,6] => [5,6,7,8,9,2,1,3,4] => [2,9,1,3,5,6,7,8,4]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [8,9,10,1,2,3,4,5,6,7] => [5,6,7,8,9,10,1,2,3,4] => [10,1,2,3,5,6,7,8,9,4]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [7,8,9,10,1,2,3,4,5,6] => [6,7,8,9,10,1,2,3,4,5] => [10,1,2,3,4,6,7,8,9,5]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,1,2,3,4,5] => [7,8,9,10,1,2,3,4,5,6] => [10,1,2,3,4,5,7,8,9,6]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [5,6,7,8,9,10,1,2,3,4] => [8,9,10,1,2,3,4,5,6,7] => [10,1,2,3,4,5,6,8,9,7]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [4,3,5,6,7,8,9,1,2] => [9,2,1,3,4,5,6,7,8] => [2,9,1,3,4,5,6,7,8]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [4,5,6,7,8,9,10,1,2,3] => [9,10,1,2,3,4,5,6,7,8] => [10,1,2,3,4,5,6,7,9,8]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,10,1,2] => [10,1,2,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,9]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,8]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [7,6,5,4,3,1,2,9,8] => [3,1,4,5,6,7,2,9,8]
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [8,9,7,6,5,4,3,1,2] => [9,7,6,5,4,3,1,2,8] => [3,1,4,5,6,7,9,2,8]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [10,8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,10,1,9]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [9,8,7,6,5,4,3,2,1,11,10] => [2,3,4,5,6,7,8,9,1,11,10]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [8,7,6,5,4,3,1,2,10,9] => [3,1,4,5,6,7,8,2,10,9]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [7,6,5,4,2,1,3,9,8] => [2,4,1,5,6,7,3,9,8]
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [9,10,8,7,6,5,4,3,1,2] => [10,8,7,6,5,4,3,1,2,9] => [3,1,4,5,6,7,8,10,2,9]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [11,10,9,8,7,6,5,4,3,1,2] => [11,9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,11,1,10]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [9,7,5,3,2,4,6,8,10,1] => [5,4,6,3,7,2,8,1,9,10] => [8,7,6,5,4,3,2,1,9,10]
[.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]] => [8,9,6,7,4,5,2,3,10,1] => [7,8,5,6,3,4,1,2,9,10] => [4,1,6,3,8,5,7,2,9,10]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,2,1,3] => [7,9,6,5,4,3,2,1,8] => [2,3,4,5,6,9,7,1,8]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,3,2,1,4] => [7,6,9,5,4,3,2,1,8] => [2,3,4,5,9,7,6,1,8]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [9,8,7,6,4,3,2,1,5] => [7,6,5,9,4,3,2,1,8] => [2,3,4,9,6,7,5,1,8]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [9,8,7,5,4,3,2,1,6] => [7,6,5,4,9,3,2,1,8] => [2,3,9,5,6,7,4,1,8]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [9,8,6,5,4,3,2,1,7] => [7,6,5,4,3,9,2,1,8] => [2,9,4,5,6,7,3,1,8]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,9,1,8] => [9,3,4,5,6,7,2,1,8]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => [8,9,6,5,4,3,2,1,7] => [2,3,4,5,6,9,1,8,7]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,2,1,3] => [8,10,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,10,8,1,9]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,3,2,1,4] => [8,7,10,6,5,4,3,2,1,9] => [2,3,4,5,6,10,8,7,1,9]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,4,3,2,1,5] => [8,7,6,10,5,4,3,2,1,9] => [2,3,4,5,10,7,8,6,1,9]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [10,9,8,7,5,4,3,2,1,6] => [8,7,6,5,10,4,3,2,1,9] => [2,3,4,10,6,7,8,5,1,9]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [10,9,8,6,5,4,3,2,1,7] => [8,7,6,5,4,10,3,2,1,9] => [2,3,10,5,6,7,8,4,1,9]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [10,9,7,6,5,4,3,2,1,8] => [8,7,6,5,4,3,10,2,1,9] => [2,10,4,5,6,7,8,3,1,9]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,10,1,9] => [10,3,4,5,6,7,8,2,1,9]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [6,5,4,3,2,1,8,9,7] => [2,3,4,5,6,1,9,8,7]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [5,4,3,2,1,7,8,9,6] => [2,3,4,5,1,9,7,8,6]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [4,3,2,1,6,7,8,9,5] => [2,3,4,1,9,6,7,8,5]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [3,2,1,5,6,7,8,9,4] => [2,3,1,9,5,6,7,8,4]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [2,1,4,5,6,7,8,9,3] => [2,1,9,4,5,6,7,8,3]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [1,3,4,5,6,7,8,9,2] => [1,9,3,4,5,6,7,8,2]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [7,6,5,4,3,2,1,9,10,8] => [2,3,4,5,6,7,1,10,9,8]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [6,5,4,3,2,1,8,9,10,7] => [2,3,4,5,6,1,10,8,9,7]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [5,4,3,2,1,7,8,9,10,6] => [2,3,4,5,1,10,7,8,9,6]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [4,3,2,1,6,7,8,9,10,5] => [2,3,4,1,10,6,7,8,9,5]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [3,2,1,5,6,7,8,9,10,4] => [2,3,1,10,5,6,7,8,9,4]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [2,1,4,5,6,7,8,9,10,3] => [2,1,10,4,5,6,7,8,9,3]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [3,1,4,5,6,7,8,9,2] => [3,9,1,4,5,6,7,8,2]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [1,3,4,5,6,7,8,9,10,2] => [1,10,3,4,5,6,7,8,9,2]
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [9,8,7,5,6,4,3,2,1] => [8,7,6,4,5,3,2,1,9] => [2,3,5,6,4,7,8,1,9]
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,3,4,2,1] => [8,6,7,5,4,3,2,1,9] => [2,3,4,5,7,8,6,1,9]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,2,3,1] => [7,8,6,5,4,3,2,1,9] => [2,3,4,5,6,8,7,1,9]
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [10,9,8,6,7,5,4,3,2,1] => [9,8,7,6,4,5,3,2,1,10] => [2,3,5,6,4,7,8,9,1,10]
[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,5,6,4,3,2,1] => [9,8,7,5,6,4,3,2,1,10] => [2,3,4,6,7,5,8,9,1,10]
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,2,3,1] => [8,9,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,9,8,1,10]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [9,2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,8,1,9] => [8,2,3,4,5,6,7,1,9]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [1,3,4,5,6,7,8,9,10,11,2] => [1,11,3,4,5,6,7,8,9,10,2]
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [8,2,3,4,5,6,7,9,1] => [2,3,4,5,6,7,1,8,9] => [7,2,3,4,5,6,1,8,9]
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [8,9,2,3,4,5,6,7,1] => [3,4,5,6,7,8,1,2,9] => [8,1,3,4,5,6,7,2,9]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [10,2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,9,1,10] => [9,2,3,4,5,6,7,8,1,10]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [4,2,1,3,5,6,7,8,9] => [2,4,1,5,6,7,8,9,3] => [4,2,9,1,5,6,7,8,3]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [8,6,5,4,3,2,1,7,9] => [6,5,4,3,2,8,1,9,7] => [8,3,4,5,6,2,9,1,7]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [7,1,2,3,4,5,6,8,9] => [7,1,2,3,4,5,6,8,9]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [1,2,4,5,6,7,8,9,3] => [1,2,9,4,5,6,7,8,3]
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [2,3,4,5,1,6,7,8,9] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,6,7,8,5]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,8,7]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [4,2,3,1,5,6,7,8,9] => [2,3,1,5,6,7,8,9,4] => [3,2,1,9,5,6,7,8,4]
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [5,2,3,4,1,6,7,8,9] => [2,3,4,1,6,7,8,9,5] => [4,2,3,1,9,6,7,8,5]
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [6,2,3,4,5,1,7,8,9] => [2,3,4,5,1,7,8,9,6] => [5,2,3,4,1,9,7,8,6]
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [7,2,3,4,5,6,1,8,9] => [2,3,4,5,6,1,8,9,7] => [6,2,3,4,5,1,9,8,7]
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [8,2,3,4,5,6,7,1,9] => [2,3,4,5,6,7,1,9,8] => [7,2,3,4,5,6,1,9,8]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9] => [3,4,1,5,6,7,8,9,2] => [4,9,3,1,5,6,7,8,2]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [6,1,2,3,4,5,7,8,9] => [3,4,5,6,1,7,8,9,2] => [6,9,3,4,5,1,7,8,2]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [3,4,5,6,7,1,8,9,2] => [7,9,3,4,5,6,1,8,2]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [3,4,5,6,7,8,1,9,2] => [8,9,3,4,5,6,7,1,2]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [3,1,4,5,6,7,8,9,10,2] => [3,10,1,4,5,6,7,8,9,2]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [3,4,1,5,6,7,8,9,10,2] => [4,10,3,1,5,6,7,8,9,2]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [3,4,5,6,1,7,8,9,10,2] => [6,10,3,4,5,1,7,8,9,2]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [3,4,5,6,7,8,9,1,10,2] => [9,10,3,4,5,6,7,8,1,2]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [9,3,4,5,6,7,8,1,2] => [9,2,3,4,5,6,7,1,8] => [7,9,2,3,4,5,6,1,8]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [9,7,6,5,4,3,2,8,1] => [7,6,5,4,3,2,8,1,9] => [8,3,4,5,6,7,2,1,9]
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [6,5,4,3,2,7,8,9,1] => [5,4,3,2,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [9,7,6,5,4,3,1,2,8] => [8,6,5,4,3,2,9,1,7] => [9,3,4,5,6,8,1,2,7]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [2,3,4,5,6,7,8,9,10,11,1] => [11,2,3,4,5,6,7,8,9,10,1]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => [9,10,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,10,1,9,8]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [9,7,6,5,4,3,2,1,10,8] => [2,3,4,5,6,7,9,10,1,8]
[.,[[[[[[.,.],.],.],.],[[.,.],.]],.]] => [7,8,2,3,4,5,6,9,1] => [3,4,5,6,7,1,2,8,9] => [7,1,3,4,5,6,2,8,9]
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [3,4,5,1,2,6,7,8,9] => [5,1,2,3,6,7,8,9,4] => [5,1,2,9,3,6,7,8,4]
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [4,5,1,2,3,6,7,8,9] => [4,5,1,2,6,7,8,9,3] => [5,1,9,4,2,6,7,8,3]
[.,[[[[[.,[[[[.,.],.],.],.]],.],.],.],.]] => [3,4,5,6,2,7,8,9,10,1] => [5,1,2,3,4,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10]
[.,[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]] => [6,2,3,4,5,7,8,9,10,1] => [2,3,4,5,1,6,7,8,9,10] => [5,2,3,4,1,6,7,8,9,10]
[[.,.],[.,[[[[[[.,.],.],.],.],.],.]]] => [4,5,6,7,8,9,3,1,2] => [9,7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,9,6,8]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [4,5,6,7,8,9,2,1,3] => [7,9,1,2,3,4,5,6,8] => [9,1,2,3,4,5,7,6,8]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [3,4,5,6,7,8,1,2,9] => [8,1,2,3,4,5,6,9,7] => [8,1,2,3,4,5,9,6,7]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [4,5,6,7,8,9,10,2,1,3] => [2,10,1,4,5,6,7,8,9,3]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] => [10,9,8,7,6,5,4,3,2,11,1] => [9,8,7,6,5,4,3,2,1,10,11] => [2,3,4,5,6,7,8,9,1,10,11]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => [5,6,7,8,9,3,2,1,4] => [2,3,9,1,5,6,7,8,4]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => [6,7,8,9,4,3,2,1,5] => [2,3,4,9,1,6,7,8,5]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => [7,8,9,5,4,3,2,1,6] => [2,3,4,5,9,1,7,8,6]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => [5,6,7,8,9,10,3,2,1,4] => [2,3,10,1,5,6,7,8,9,4]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => [6,7,8,9,10,4,3,2,1,5] => [2,3,4,10,1,6,7,8,9,5]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => [7,8,9,10,5,4,3,2,1,6] => [2,3,4,5,10,1,7,8,9,6]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => [8,9,10,6,5,4,3,2,1,7] => [2,3,4,5,6,10,1,8,9,7]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] => [10,9,11,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,2,1,3,11] => [2,4,1,5,6,7,8,9,10,3,11]
[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [9,8,10,7,6,5,4,3,1,2] => [10,8,7,6,5,4,2,1,3,9] => [2,4,1,5,6,7,8,10,3,9]
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [2,1,3,4,5,6,7,9,8] => [2,1,3,4,5,6,7,9,8]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [9,7,6,5,4,3,2,1,8,10] => [7,6,5,4,3,2,9,1,10,8] => [9,3,4,5,6,7,2,10,1,8]
[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [8,7,6,5,4,3,9,1,2] => [9,6,5,4,3,2,1,7,8] => [2,3,4,5,6,9,1,7,8]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [9,2,3,4,5,6,7,1,8] => [2,3,4,5,6,7,9,1,8] => [9,2,3,4,5,6,7,1,8]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [3,4,1,2,5,6,7,8,9] => [4,1,2,5,6,7,8,9,3] => [4,1,9,2,5,6,7,8,3]
[.,[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,9,2,10,1] => [8,1,2,3,4,5,6,7,9,10] => [8,1,2,3,4,5,6,7,9,10]
[[.,.],[[.,[[[[[.,.],.],.],.],.]],.]] => [4,5,6,7,8,3,9,1,2] => [9,6,1,2,3,4,5,7,8] => [6,1,2,3,4,9,5,7,8]
[[.,[.,[[[[[.,.],.],.],.],.]]],[.,.]] => [9,3,4,5,6,7,2,1,8] => [7,2,3,4,5,6,9,1,8] => [9,7,2,3,4,5,6,1,8]
[[[[[[[.,[.,.]],.],.],.],.],.],[[.,.],.]] => [9,10,2,1,3,4,5,6,7,8] => [3,5,6,7,8,9,10,1,2,4] => [10,1,3,2,5,6,7,8,9,4]
[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]] => [9,8,2,3,4,5,6,7,1] => [3,4,5,6,7,8,2,1,9] => [2,8,3,4,5,6,7,1,9]
[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.] => [3,4,5,6,7,8,2,1,9] => [7,1,2,3,4,5,6,9,8] => [7,1,2,3,4,5,6,9,8]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] => [10,3,1,2,4,5,6,7,8,9] => [4,2,5,6,7,8,9,10,1,3] => [10,4,1,2,5,6,7,8,9,3]
[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]] => [9,2,3,4,5,6,1,7,8] => [2,3,4,5,6,8,9,1,7] => [9,2,3,4,5,6,1,8,7]
[[.,[[[[[.,.],.],.],.],.]],[.,[.,.]]] => [9,8,2,3,4,5,6,1,7] => [3,4,5,6,7,9,2,1,8] => [2,9,3,4,5,6,7,1,8]
[.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]] => [9,3,4,5,6,7,8,2,1] => [8,2,3,4,5,6,7,1,9] => [7,8,2,3,4,5,6,1,9]
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
Inverse Kreweras complement
Description
Sends the permutation π∈Sn to the permutation cπ−1 where c=(1,…,n) is the long cycle.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation σ is a pair i<j such that i<σ(j)<σ(i). The element σ(j) is then an invisible inversion bottom.
A descent view in a permutation π is an element π(j) such that π(i+1)<π(j)<π(i), and additionally the smallest element in the decreasing run containing π(i) is smaller than the smallest element in the decreasing run containing π(j).
This map is a bijection χ:Sn→Sn, such that
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation σ is a pair i<j such that i<σ(j)<σ(i). The element σ(j) is then an invisible inversion bottom.
A descent view in a permutation π is an element π(j) such that π(i+1)<π(j)<π(i), and additionally the smallest element in the decreasing run containing π(i) is smaller than the smallest element in the decreasing run containing π(j).
This map is a bijection χ:Sn→Sn, such that
- the multiset of descent views in π is the multiset of invisible inversion bottoms in χ(π),
- the set of left-to-right maximima of π is the set of maximal elements in the cycles of χ(π),
- the set of global ascent of π is the set of global ascent of χ(π),
- the set of maximal elements in the decreasing runs of π is the set of deficiency positions of χ(π), and
- the set of minimal elements in the decreasing runs of π is the set of deficiency values of χ(π).
searching the database
Sorry, this map was not found in the database.