Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00241: Permutations —invert Laguerre heap⟶ Permutations
Mp00237: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00241: Permutations —invert Laguerre heap⟶ Permutations
Mp00237: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Images
[.,.] => [1] => [1] => [1]
[.,[.,.]] => [2,1] => [2,1] => [2,1]
[[.,.],.] => [1,2] => [1,2] => [1,2]
[.,[.,[.,.]]] => [3,2,1] => [3,2,1] => [2,3,1]
[.,[[.,.],.]] => [2,3,1] => [3,1,2] => [3,1,2]
[[.,.],[.,.]] => [1,3,2] => [1,3,2] => [1,3,2]
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => [2,1,3]
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [1,2,3]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,3,2,1] => [2,3,4,1]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [4,2,1,3] => [2,4,1,3]
[.,[[.,.],[.,.]]] => [2,4,3,1] => [4,3,1,2] => [3,1,4,2]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,1,3,2] => [4,3,1,2]
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,1,2,3] => [4,1,2,3]
[[.,.],[.,[.,.]]] => [1,4,3,2] => [1,4,3,2] => [1,3,4,2]
[[.,.],[[.,.],.]] => [1,3,4,2] => [1,4,2,3] => [1,4,2,3]
[[.,[.,.]],[.,.]] => [2,1,4,3] => [2,1,4,3] => [2,1,4,3]
[[[.,.],.],[.,.]] => [1,2,4,3] => [1,2,4,3] => [1,2,4,3]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1,4] => [2,3,1,4]
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,1,2,4] => [3,1,2,4]
[[[.,.],[.,.]],.] => [1,3,2,4] => [1,3,2,4] => [1,3,2,4]
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4]
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,4,3,2,1] => [2,3,4,5,1]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [5,3,2,1,4] => [2,3,5,1,4]
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [5,4,2,1,3] => [2,4,1,5,3]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [5,2,1,4,3] => [2,5,4,1,3]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [5,2,1,3,4] => [2,5,1,3,4]
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [5,4,3,1,2] => [3,1,4,5,2]
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [5,3,1,2,4] => [3,1,5,2,4]
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [5,4,1,3,2] => [4,3,1,5,2]
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [5,4,1,2,3] => [4,1,2,5,3]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [5,1,4,3,2] => [5,3,4,1,2]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [5,1,4,2,3] => [5,4,2,1,3]
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [5,1,2,4,3] => [5,1,4,2,3]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [5,1,3,2,4] => [5,3,1,2,4]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [5,1,2,3,4] => [5,1,2,3,4]
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [1,5,4,3,2] => [1,3,4,5,2]
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [1,5,3,2,4] => [1,3,5,2,4]
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [1,5,4,2,3] => [1,4,2,5,3]
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [1,5,2,4,3] => [1,5,4,2,3]
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [1,5,2,3,4] => [1,5,2,3,4]
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [2,1,5,4,3] => [2,1,4,5,3]
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [2,1,5,3,4] => [2,1,5,3,4]
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,4,5,3]
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [1,2,5,3,4] => [1,2,5,3,4]
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [3,2,1,5,4] => [2,3,1,5,4]
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [3,1,2,5,4] => [3,1,2,5,4]
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4]
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [2,1,3,5,4] => [2,1,3,5,4]
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,3,2,1,5] => [2,3,4,1,5]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [4,2,1,3,5] => [2,4,1,3,5]
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [4,3,1,2,5] => [3,1,4,2,5]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [4,1,3,2,5] => [4,3,1,2,5]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,1,2,3,5] => [4,1,2,3,5]
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [1,4,3,2,5] => [1,3,4,2,5]
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [1,4,2,3,5] => [1,4,2,3,5]
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [2,1,4,3,5] => [2,1,4,3,5]
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,2,1,4,5] => [2,3,1,4,5]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,1,2,4,5] => [3,1,2,4,5]
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5]
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5]
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5]
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => [2,3,4,5,6,1]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [6,4,3,2,1,5] => [2,3,4,6,1,5]
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [6,5,3,2,1,4] => [2,3,5,1,6,4]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [6,3,2,1,5,4] => [2,3,6,5,1,4]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [6,3,2,1,4,5] => [2,3,6,1,4,5]
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [6,5,4,2,1,3] => [2,4,1,5,6,3]
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [6,4,2,1,3,5] => [2,4,1,6,3,5]
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [6,5,2,1,4,3] => [2,5,4,1,6,3]
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [6,5,2,1,3,4] => [2,5,1,3,6,4]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [6,2,1,5,4,3] => [2,6,4,5,1,3]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [6,2,1,5,3,4] => [2,6,5,3,1,4]
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [6,2,1,3,5,4] => [2,6,1,5,3,4]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [6,2,1,4,3,5] => [2,6,4,1,3,5]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [6,2,1,3,4,5] => [2,6,1,3,4,5]
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [6,5,4,3,1,2] => [3,1,4,5,6,2]
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [6,4,3,1,2,5] => [3,1,4,6,2,5]
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [6,5,3,1,2,4] => [3,1,5,2,6,4]
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [6,3,1,2,5,4] => [3,1,6,5,2,4]
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [6,3,1,2,4,5] => [3,1,6,2,4,5]
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [6,5,4,1,3,2] => [4,3,1,5,6,2]
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [6,4,1,3,2,5] => [4,3,1,6,2,5]
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [6,5,4,1,2,3] => [4,1,2,5,6,3]
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [6,4,1,2,3,5] => [4,1,2,6,3,5]
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [6,5,1,4,3,2] => [5,3,4,1,6,2]
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [6,5,1,4,2,3] => [5,4,2,1,6,3]
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [6,5,1,2,4,3] => [5,1,4,2,6,3]
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [6,5,1,3,2,4] => [5,3,1,2,6,4]
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [6,5,1,2,3,4] => [5,1,2,3,6,4]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [6,1,5,4,3,2] => [6,3,4,5,1,2]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [6,1,5,3,2,4] => [6,3,5,2,1,4]
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [6,1,5,4,2,3] => [6,4,2,5,1,3]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [6,1,5,2,4,3] => [6,5,4,2,1,3]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [6,1,5,2,3,4] => [6,5,2,3,1,4]
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [6,1,2,5,4,3] => [6,1,4,5,2,3]
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [6,1,2,5,3,4] => [6,1,5,3,2,4]
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [6,1,3,2,5,4] => [6,3,1,5,2,4]
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [6,1,2,3,5,4] => [6,1,2,5,3,4]
>>> Load all 1007 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [6,1,4,3,2,5] => [6,3,4,1,2,5]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [6,1,4,2,3,5] => [6,4,2,1,3,5]
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [6,1,2,4,3,5] => [6,1,4,2,3,5]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [6,1,3,2,4,5] => [6,3,1,2,4,5]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [6,1,2,3,4,5] => [6,1,2,3,4,5]
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => [1,3,4,5,6,2]
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [1,6,4,3,2,5] => [1,3,4,6,2,5]
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [1,6,5,3,2,4] => [1,3,5,2,6,4]
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [1,6,3,2,5,4] => [1,3,6,5,2,4]
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [1,6,3,2,4,5] => [1,3,6,2,4,5]
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [1,6,5,4,2,3] => [1,4,2,5,6,3]
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [1,6,4,2,3,5] => [1,4,2,6,3,5]
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [1,6,5,2,4,3] => [1,5,4,2,6,3]
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => [1,5,2,3,6,4]
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [1,6,2,5,4,3] => [1,6,4,5,2,3]
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [1,6,2,5,3,4] => [1,6,5,3,2,4]
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [1,6,2,3,5,4] => [1,6,2,5,3,4]
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [1,6,2,4,3,5] => [1,6,4,2,3,5]
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5]
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => [2,1,4,5,6,3]
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [2,1,6,4,3,5] => [2,1,4,6,3,5]
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [2,1,6,5,3,4] => [2,1,5,3,6,4]
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [2,1,6,3,5,4] => [2,1,6,5,3,4]
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [2,1,6,3,4,5] => [2,1,6,3,4,5]
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => [1,2,4,5,6,3]
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [1,2,6,4,3,5] => [1,2,4,6,3,5]
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [1,2,6,5,3,4] => [1,2,5,3,6,4]
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [1,2,6,3,5,4] => [1,2,6,5,3,4]
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5]
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => [2,3,1,5,6,4]
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => [2,3,1,6,4,5]
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => [3,1,2,5,6,4]
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [3,1,2,6,4,5] => [3,1,2,6,4,5]
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => [1,3,2,5,6,4]
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [1,3,2,6,4,5] => [1,3,2,6,4,5]
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => [2,1,3,5,6,4]
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [2,1,3,6,4,5] => [2,1,3,6,4,5]
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => [1,2,3,5,6,4]
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [1,2,3,6,4,5] => [1,2,3,6,4,5]
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => [2,3,4,1,6,5]
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [4,2,1,3,6,5] => [2,4,1,3,6,5]
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [4,3,1,2,6,5] => [3,1,4,2,6,5]
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [4,1,3,2,6,5] => [4,3,1,2,6,5]
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [4,1,2,3,6,5] => [4,1,2,3,6,5]
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => [1,3,4,2,6,5]
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [1,4,2,3,6,5] => [1,4,2,3,6,5]
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => [2,1,4,3,6,5]
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [1,2,4,3,6,5]
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [3,2,1,4,6,5] => [2,3,1,4,6,5]
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [3,1,2,4,6,5] => [3,1,2,4,6,5]
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [1,3,2,4,6,5]
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => [2,1,3,4,6,5]
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => [2,3,4,5,1,6]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [5,3,2,1,4,6] => [2,3,5,1,4,6]
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [5,4,2,1,3,6] => [2,4,1,5,3,6]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [5,2,1,4,3,6] => [2,5,4,1,3,6]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [5,2,1,3,4,6] => [2,5,1,3,4,6]
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [5,4,3,1,2,6] => [3,1,4,5,2,6]
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [5,3,1,2,4,6] => [3,1,5,2,4,6]
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [5,4,1,3,2,6] => [4,3,1,5,2,6]
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [5,4,1,2,3,6] => [4,1,2,5,3,6]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [5,1,4,3,2,6] => [5,3,4,1,2,6]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [5,1,4,2,3,6] => [5,4,2,1,3,6]
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [5,1,2,4,3,6] => [5,1,4,2,3,6]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [5,1,3,2,4,6] => [5,3,1,2,4,6]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,1,2,3,4,6] => [5,1,2,3,4,6]
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => [1,3,4,5,2,6]
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [1,5,3,2,4,6] => [1,3,5,2,4,6]
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [1,5,4,2,3,6] => [1,4,2,5,3,6]
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [1,5,2,4,3,6] => [1,5,4,2,3,6]
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [1,5,2,3,4,6] => [1,5,2,3,4,6]
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => [2,1,4,5,3,6]
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [2,1,5,3,4,6] => [2,1,5,3,4,6]
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => [1,2,4,5,3,6]
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [1,2,5,3,4,6] => [1,2,5,3,4,6]
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [3,2,1,5,4,6] => [2,3,1,5,4,6]
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [3,1,2,5,4,6] => [3,1,2,5,4,6]
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6]
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => [2,1,3,5,4,6]
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => [2,3,4,1,5,6]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [4,2,1,3,5,6] => [2,4,1,3,5,6]
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [4,3,1,2,5,6] => [3,1,4,2,5,6]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,1,3,2,5,6] => [4,3,1,2,5,6]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [4,1,2,3,5,6] => [4,1,2,3,5,6]
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [1,4,3,2,5,6] => [1,3,4,2,5,6]
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [1,4,2,3,5,6] => [1,4,2,3,5,6]
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => [2,1,4,3,5,6]
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [2,3,1,4,5,6]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,1,2,4,5,6] => [3,1,2,4,5,6]
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6]
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6]
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [2,3,4,5,6,7,1]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [7,5,4,3,2,1,6] => [2,3,4,5,7,1,6]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [7,6,4,3,2,1,5] => [2,3,4,6,1,7,5]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [7,4,3,2,1,6,5] => [2,3,4,7,6,1,5]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [7,4,3,2,1,5,6] => [2,3,4,7,1,5,6]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [7,6,5,3,2,1,4] => [2,3,5,1,6,7,4]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [7,5,3,2,1,4,6] => [2,3,5,1,7,4,6]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [7,6,3,2,1,5,4] => [2,3,6,5,1,7,4]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [7,6,3,2,1,4,5] => [2,3,6,1,4,7,5]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [7,3,2,1,6,5,4] => [2,3,7,5,6,1,4]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [7,3,2,1,6,4,5] => [2,3,7,6,4,1,5]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [7,3,2,1,4,6,5] => [2,3,7,1,6,4,5]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [7,3,2,1,5,4,6] => [2,3,7,5,1,4,6]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [7,3,2,1,4,5,6] => [2,3,7,1,4,5,6]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [7,6,5,4,2,1,3] => [2,4,1,5,6,7,3]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [7,5,4,2,1,3,6] => [2,4,1,5,7,3,6]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [7,6,4,2,1,3,5] => [2,4,1,6,3,7,5]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [7,4,2,1,3,6,5] => [2,4,1,7,6,3,5]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [7,4,2,1,3,5,6] => [2,4,1,7,3,5,6]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [7,6,5,2,1,4,3] => [2,5,4,1,6,7,3]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [7,5,2,1,4,3,6] => [2,5,4,1,7,3,6]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [7,6,5,2,1,3,4] => [2,5,1,3,6,7,4]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [7,5,2,1,3,4,6] => [2,5,1,3,7,4,6]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [7,6,2,1,5,4,3] => [2,6,4,5,1,7,3]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [7,6,2,1,5,3,4] => [2,6,5,3,1,7,4]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [7,6,2,1,3,5,4] => [2,6,1,5,3,7,4]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [7,6,2,1,4,3,5] => [2,6,4,1,3,7,5]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [7,6,2,1,3,4,5] => [2,6,1,3,4,7,5]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [7,2,1,6,5,4,3] => [2,7,4,5,6,1,3]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [7,2,1,6,4,3,5] => [2,7,4,6,3,1,5]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [7,2,1,6,5,3,4] => [2,7,5,3,6,1,4]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [7,2,1,6,3,5,4] => [2,7,6,5,3,1,4]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [7,2,1,6,3,4,5] => [2,7,6,3,4,1,5]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [7,2,1,3,6,5,4] => [2,7,1,5,6,3,4]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [7,2,1,3,6,4,5] => [2,7,1,6,4,3,5]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [7,2,1,4,3,6,5] => [2,7,4,1,6,3,5]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [7,2,1,3,4,6,5] => [2,7,1,3,6,4,5]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [7,2,1,5,4,3,6] => [2,7,4,5,1,3,6]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [7,2,1,5,3,4,6] => [2,7,5,3,1,4,6]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [7,2,1,3,5,4,6] => [2,7,1,5,3,4,6]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [7,2,1,4,3,5,6] => [2,7,4,1,3,5,6]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [7,2,1,3,4,5,6] => [2,7,1,3,4,5,6]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [7,6,5,4,3,1,2] => [3,1,4,5,6,7,2]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [7,5,4,3,1,2,6] => [3,1,4,5,7,2,6]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [7,6,4,3,1,2,5] => [3,1,4,6,2,7,5]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [7,4,3,1,2,6,5] => [3,1,4,7,6,2,5]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [7,4,3,1,2,5,6] => [3,1,4,7,2,5,6]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [7,6,5,3,1,2,4] => [3,1,5,2,6,7,4]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [7,5,3,1,2,4,6] => [3,1,5,2,7,4,6]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [7,6,3,1,2,5,4] => [3,1,6,5,2,7,4]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [7,6,3,1,2,4,5] => [3,1,6,2,4,7,5]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [7,3,1,2,6,5,4] => [3,1,7,5,6,2,4]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [7,3,1,2,6,4,5] => [3,1,7,6,4,2,5]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [7,3,1,2,4,6,5] => [3,1,7,2,6,4,5]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [7,3,1,2,5,4,6] => [3,1,7,5,2,4,6]
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [7,3,1,2,4,5,6] => [3,1,7,2,4,5,6]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [7,6,5,4,1,3,2] => [4,3,1,5,6,7,2]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [7,5,4,1,3,2,6] => [4,3,1,5,7,2,6]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [7,6,4,1,3,2,5] => [4,3,1,6,2,7,5]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [7,4,1,3,2,6,5] => [4,3,1,7,6,2,5]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [7,4,1,3,2,5,6] => [4,3,1,7,2,5,6]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [7,6,5,4,1,2,3] => [4,1,2,5,6,7,3]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [7,5,4,1,2,3,6] => [4,1,2,5,7,3,6]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [7,6,4,1,2,3,5] => [4,1,2,6,3,7,5]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [7,4,1,2,3,6,5] => [4,1,2,7,6,3,5]
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [7,4,1,2,3,5,6] => [4,1,2,7,3,5,6]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [7,6,5,1,4,3,2] => [5,3,4,1,6,7,2]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [7,5,1,4,3,2,6] => [5,3,4,1,7,2,6]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [7,6,5,1,4,2,3] => [5,4,2,1,6,7,3]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [7,5,1,4,2,3,6] => [5,4,2,1,7,3,6]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [7,6,5,1,2,4,3] => [5,1,4,2,6,7,3]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [7,5,1,2,4,3,6] => [5,1,4,2,7,3,6]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [7,6,5,1,3,2,4] => [5,3,1,2,6,7,4]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [7,5,1,3,2,4,6] => [5,3,1,2,7,4,6]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [7,6,5,1,2,3,4] => [5,1,2,3,6,7,4]
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [7,5,1,2,3,4,6] => [5,1,2,3,7,4,6]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [7,6,1,5,4,3,2] => [6,3,4,5,1,7,2]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [7,6,1,5,3,2,4] => [6,3,5,2,1,7,4]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [7,6,1,5,4,2,3] => [6,4,2,5,1,7,3]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [7,6,1,5,2,4,3] => [6,5,4,2,1,7,3]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [7,6,1,5,2,3,4] => [6,5,2,3,1,7,4]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [7,6,1,2,5,4,3] => [6,1,4,5,2,7,3]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [7,6,1,2,5,3,4] => [6,1,5,3,2,7,4]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [7,6,1,3,2,5,4] => [6,3,1,5,2,7,4]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [7,6,1,2,3,5,4] => [6,1,2,5,3,7,4]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [7,6,1,4,3,2,5] => [6,3,4,1,2,7,5]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [7,6,1,4,2,3,5] => [6,4,2,1,3,7,5]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [7,6,1,2,4,3,5] => [6,1,4,2,3,7,5]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [7,6,1,3,2,4,5] => [6,3,1,2,4,7,5]
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [7,6,1,2,3,4,5] => [6,1,2,3,4,7,5]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [7,1,6,5,4,3,2] => [7,3,4,5,6,1,2]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [7,1,6,4,3,2,5] => [7,3,4,6,2,1,5]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [7,1,6,5,3,2,4] => [7,3,5,2,6,1,4]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [7,1,6,3,2,5,4] => [7,3,6,5,2,1,4]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [7,1,6,3,2,4,5] => [7,3,6,2,4,1,5]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [7,1,6,5,4,2,3] => [7,4,2,5,6,1,3]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [7,1,6,4,2,3,5] => [7,4,2,6,3,1,5]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [7,1,6,5,2,4,3] => [7,5,4,2,6,1,3]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [7,1,6,5,2,3,4] => [7,5,2,3,6,1,4]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [7,1,6,2,5,4,3] => [7,6,4,5,2,1,3]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [7,1,6,2,5,3,4] => [7,6,5,3,2,1,4]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [7,1,6,2,3,5,4] => [7,6,2,5,3,1,4]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [7,1,6,2,4,3,5] => [7,6,4,2,3,1,5]
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [7,1,6,2,3,4,5] => [7,6,2,3,4,1,5]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [7,1,2,6,5,4,3] => [7,1,4,5,6,2,3]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [7,1,2,6,4,3,5] => [7,1,4,6,3,2,5]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [7,1,2,6,5,3,4] => [7,1,5,3,6,2,4]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [7,1,2,6,3,5,4] => [7,1,6,5,3,2,4]
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [7,1,2,6,3,4,5] => [7,1,6,3,4,2,5]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [7,1,3,2,6,5,4] => [7,3,1,5,6,2,4]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [7,1,3,2,6,4,5] => [7,3,1,6,4,2,5]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [7,1,2,3,6,5,4] => [7,1,2,5,6,3,4]
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [7,1,2,3,6,4,5] => [7,1,2,6,4,3,5]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [7,1,4,3,2,6,5] => [7,3,4,1,6,2,5]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [7,1,4,2,3,6,5] => [7,4,2,1,6,3,5]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [7,1,2,4,3,6,5] => [7,1,4,2,6,3,5]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [7,1,3,2,4,6,5] => [7,3,1,2,6,4,5]
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [7,1,2,3,4,6,5] => [7,1,2,3,6,4,5]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [7,1,5,4,3,2,6] => [7,3,4,5,1,2,6]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [7,1,5,3,2,4,6] => [7,3,5,2,1,4,6]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [7,1,5,4,2,3,6] => [7,4,2,5,1,3,6]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [7,1,5,2,4,3,6] => [7,5,4,2,1,3,6]
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [7,1,5,2,3,4,6] => [7,5,2,3,1,4,6]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [7,1,2,5,4,3,6] => [7,1,4,5,2,3,6]
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [7,1,2,5,3,4,6] => [7,1,5,3,2,4,6]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [7,1,3,2,5,4,6] => [7,3,1,5,2,4,6]
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [7,1,2,3,5,4,6] => [7,1,2,5,3,4,6]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [7,1,4,3,2,5,6] => [7,3,4,1,2,5,6]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [7,1,4,2,3,5,6] => [7,4,2,1,3,5,6]
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [7,1,2,4,3,5,6] => [7,1,4,2,3,5,6]
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [7,1,3,2,4,5,6] => [7,3,1,2,4,5,6]
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => [1,3,4,5,6,7,2]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [1,7,5,4,3,2,6] => [1,3,4,5,7,2,6]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [1,7,6,4,3,2,5] => [1,3,4,6,2,7,5]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [1,7,4,3,2,6,5] => [1,3,4,7,6,2,5]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [1,7,4,3,2,5,6] => [1,3,4,7,2,5,6]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [1,7,6,5,3,2,4] => [1,3,5,2,6,7,4]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [1,7,5,3,2,4,6] => [1,3,5,2,7,4,6]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [1,7,6,3,2,5,4] => [1,3,6,5,2,7,4]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [1,7,6,3,2,4,5] => [1,3,6,2,4,7,5]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [1,7,3,2,6,5,4] => [1,3,7,5,6,2,4]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [1,7,3,2,6,4,5] => [1,3,7,6,4,2,5]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [1,7,3,2,4,6,5] => [1,3,7,2,6,4,5]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [1,7,3,2,5,4,6] => [1,3,7,5,2,4,6]
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [1,7,3,2,4,5,6] => [1,3,7,2,4,5,6]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [1,7,6,5,4,2,3] => [1,4,2,5,6,7,3]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [1,7,5,4,2,3,6] => [1,4,2,5,7,3,6]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [1,7,6,4,2,3,5] => [1,4,2,6,3,7,5]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [1,7,4,2,3,6,5] => [1,4,2,7,6,3,5]
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [1,7,4,2,3,5,6] => [1,4,2,7,3,5,6]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [1,7,6,5,2,4,3] => [1,5,4,2,6,7,3]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [1,7,5,2,4,3,6] => [1,5,4,2,7,3,6]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [1,7,6,5,2,3,4] => [1,5,2,3,6,7,4]
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [1,7,5,2,3,4,6] => [1,5,2,3,7,4,6]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [1,7,6,2,5,4,3] => [1,6,4,5,2,7,3]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [1,7,6,2,5,3,4] => [1,6,5,3,2,7,4]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [1,7,6,2,3,5,4] => [1,6,2,5,3,7,4]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [1,7,6,2,4,3,5] => [1,6,4,2,3,7,5]
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [1,7,6,2,3,4,5] => [1,6,2,3,4,7,5]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [1,7,2,6,5,4,3] => [1,7,4,5,6,2,3]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [1,7,2,6,4,3,5] => [1,7,4,6,3,2,5]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [1,7,2,6,5,3,4] => [1,7,5,3,6,2,4]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [1,7,2,6,3,5,4] => [1,7,6,5,3,2,4]
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [1,7,2,6,3,4,5] => [1,7,6,3,4,2,5]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [1,7,2,3,6,5,4] => [1,7,2,5,6,3,4]
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [1,7,2,3,6,4,5] => [1,7,2,6,4,3,5]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [1,7,2,4,3,6,5] => [1,7,4,2,6,3,5]
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [1,7,2,5,4,3,6] => [1,7,4,5,2,3,6]
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [1,7,2,5,3,4,6] => [1,7,5,3,2,4,6]
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6]
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6]
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3] => [2,1,4,5,6,7,3]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [2,1,7,5,4,3,6] => [2,1,4,5,7,3,6]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [2,1,7,6,4,3,5] => [2,1,4,6,3,7,5]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [2,1,7,4,3,6,5] => [2,1,4,7,6,3,5]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [2,1,7,4,3,5,6] => [2,1,4,7,3,5,6]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [2,1,7,6,5,3,4] => [2,1,5,3,6,7,4]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [2,1,7,5,3,4,6] => [2,1,5,3,7,4,6]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [2,1,7,6,3,5,4] => [2,1,6,5,3,7,4]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [2,1,7,6,3,4,5] => [2,1,6,3,4,7,5]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [2,1,7,3,6,5,4] => [2,1,7,5,6,3,4]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [2,1,7,3,6,4,5] => [2,1,7,6,4,3,5]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [2,1,7,3,4,6,5] => [2,1,7,3,6,4,5]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [2,1,7,3,5,4,6] => [2,1,7,5,3,4,6]
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,1,7,3,4,5,6] => [2,1,7,3,4,5,6]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => [1,2,4,5,6,7,3]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [1,2,7,5,4,3,6] => [1,2,4,5,7,3,6]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [1,2,7,6,4,3,5] => [1,2,4,6,3,7,5]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [1,2,7,4,3,6,5] => [1,2,4,7,6,3,5]
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [1,2,7,4,3,5,6] => [1,2,4,7,3,5,6]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [1,2,7,6,5,3,4] => [1,2,5,3,6,7,4]
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [1,2,7,5,3,4,6] => [1,2,5,3,7,4,6]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [1,2,7,6,3,5,4] => [1,2,6,5,3,7,4]
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [1,2,7,6,3,4,5] => [1,2,6,3,4,7,5]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [1,2,7,3,6,5,4] => [1,2,7,5,6,3,4]
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5]
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5]
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6]
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [3,2,1,7,6,5,4] => [2,3,1,5,6,7,4]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,2,1,7,5,4,6] => [2,3,1,5,7,4,6]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,2,1,7,6,4,5] => [2,3,1,6,4,7,5]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,2,1,7,4,6,5] => [2,3,1,7,6,4,5]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,7,4,5,6] => [2,3,1,7,4,5,6]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [3,1,2,7,6,5,4] => [3,1,2,5,6,7,4]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,1,2,7,5,4,6] => [3,1,2,5,7,4,6]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,1,2,7,6,4,5] => [3,1,2,6,4,7,5]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,1,2,7,4,6,5] => [3,1,2,7,6,4,5]
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [3,1,2,7,4,5,6] => [3,1,2,7,4,5,6]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => [1,3,2,5,6,7,4]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [1,3,2,7,5,4,6] => [1,3,2,5,7,4,6]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [1,3,2,7,6,4,5] => [1,3,2,6,4,7,5]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [1,3,2,7,4,6,5] => [1,3,2,7,6,4,5]
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => [2,1,3,5,6,7,4]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [2,1,3,7,5,4,6] => [2,1,3,5,7,4,6]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [2,1,3,7,6,4,5] => [2,1,3,6,4,7,5]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [2,1,3,7,4,6,5] => [2,1,3,7,6,4,5]
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,1,3,7,4,5,6] => [2,1,3,7,4,5,6]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => [1,2,3,5,6,7,4]
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [1,2,3,7,5,4,6] => [1,2,3,5,7,4,6]
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [1,2,3,7,6,4,5] => [1,2,3,6,4,7,5]
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5]
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3,2,1,7,6,5] => [2,3,4,1,6,7,5]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,3,2,1,7,5,6] => [2,3,4,1,7,5,6]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [4,2,1,3,7,6,5] => [2,4,1,3,6,7,5]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [4,2,1,3,7,5,6] => [2,4,1,3,7,5,6]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [4,3,1,2,7,6,5] => [3,1,4,2,6,7,5]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [4,3,1,2,7,5,6] => [3,1,4,2,7,5,6]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [4,1,3,2,7,6,5] => [4,3,1,2,6,7,5]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [4,1,3,2,7,5,6] => [4,3,1,2,7,5,6]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [4,1,2,3,7,6,5] => [4,1,2,3,6,7,5]
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [4,1,2,3,7,5,6] => [4,1,2,3,7,5,6]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [1,4,3,2,7,5,6] => [1,3,4,2,7,5,6]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [1,4,2,3,7,6,5] => [1,4,2,3,6,7,5]
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,1,4,3,7,5,6] => [2,1,4,3,7,5,6]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5]
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,4,7,5,6] => [2,3,1,4,7,5,6]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,1,2,4,7,6,5] => [3,1,2,4,6,7,5]
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [3,1,2,4,7,5,6] => [3,1,2,4,7,5,6]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5]
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5]
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,1,3,4,7,5,6] => [2,1,3,4,7,5,6]
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5]
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [5,4,3,2,1,7,6] => [2,3,4,5,1,7,6]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [5,3,2,1,4,7,6] => [2,3,5,1,4,7,6]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [5,4,2,1,3,7,6] => [2,4,1,5,3,7,6]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [5,2,1,4,3,7,6] => [2,5,4,1,3,7,6]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [5,2,1,3,4,7,6] => [2,5,1,3,4,7,6]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [5,4,3,1,2,7,6] => [3,1,4,5,2,7,6]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [5,3,1,2,4,7,6] => [3,1,5,2,4,7,6]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [5,4,1,3,2,7,6] => [4,3,1,5,2,7,6]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [5,4,1,2,3,7,6] => [4,1,2,5,3,7,6]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [5,1,4,3,2,7,6] => [5,3,4,1,2,7,6]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [5,1,4,2,3,7,6] => [5,4,2,1,3,7,6]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [5,1,2,4,3,7,6] => [5,1,4,2,3,7,6]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [5,1,3,2,4,7,6] => [5,3,1,2,4,7,6]
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [5,1,2,3,4,7,6] => [5,1,2,3,4,7,6]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => [1,3,4,5,2,7,6]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [1,5,3,2,4,7,6] => [1,3,5,2,4,7,6]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [1,5,4,2,3,7,6] => [1,4,2,5,3,7,6]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [1,5,2,4,3,7,6] => [1,5,4,2,3,7,6]
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6] => [2,1,4,5,3,7,6]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,1,5,3,4,7,6] => [2,1,5,3,4,7,6]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => [1,2,4,5,3,7,6]
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,1,5,4,7,6] => [2,3,1,5,4,7,6]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [3,1,2,5,4,7,6] => [3,1,2,5,4,7,6]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6]
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [4,3,2,1,5,7,6] => [2,3,4,1,5,7,6]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [4,2,1,3,5,7,6] => [2,4,1,3,5,7,6]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [4,3,1,2,5,7,6] => [3,1,4,2,5,7,6]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [4,1,3,2,5,7,6] => [4,3,1,2,5,7,6]
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [4,1,2,3,5,7,6] => [4,1,2,3,5,7,6]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => [1,3,4,2,5,7,6]
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6]
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6]
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [3,1,2,4,5,7,6] => [3,1,2,4,5,7,6]
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6]
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6]
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => [2,3,4,5,6,1,7]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [6,4,3,2,1,5,7] => [2,3,4,6,1,5,7]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [6,5,3,2,1,4,7] => [2,3,5,1,6,4,7]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [6,3,2,1,5,4,7] => [2,3,6,5,1,4,7]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [6,3,2,1,4,5,7] => [2,3,6,1,4,5,7]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [6,5,4,2,1,3,7] => [2,4,1,5,6,3,7]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [6,4,2,1,3,5,7] => [2,4,1,6,3,5,7]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [6,5,2,1,4,3,7] => [2,5,4,1,6,3,7]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [6,5,2,1,3,4,7] => [2,5,1,3,6,4,7]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [6,2,1,5,4,3,7] => [2,6,4,5,1,3,7]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [6,2,1,5,3,4,7] => [2,6,5,3,1,4,7]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [6,2,1,3,5,4,7] => [2,6,1,5,3,4,7]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [6,2,1,4,3,5,7] => [2,6,4,1,3,5,7]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [6,2,1,3,4,5,7] => [2,6,1,3,4,5,7]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [6,5,4,3,1,2,7] => [3,1,4,5,6,2,7]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [6,4,3,1,2,5,7] => [3,1,4,6,2,5,7]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [6,5,3,1,2,4,7] => [3,1,5,2,6,4,7]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [6,3,1,2,5,4,7] => [3,1,6,5,2,4,7]
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [6,3,1,2,4,5,7] => [3,1,6,2,4,5,7]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [6,5,4,1,3,2,7] => [4,3,1,5,6,2,7]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [6,4,1,3,2,5,7] => [4,3,1,6,2,5,7]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [6,5,4,1,2,3,7] => [4,1,2,5,6,3,7]
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [6,4,1,2,3,5,7] => [4,1,2,6,3,5,7]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [6,5,1,4,3,2,7] => [5,3,4,1,6,2,7]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [6,5,1,4,2,3,7] => [5,4,2,1,6,3,7]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [6,5,1,2,4,3,7] => [5,1,4,2,6,3,7]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [6,5,1,3,2,4,7] => [5,3,1,2,6,4,7]
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [6,5,1,2,3,4,7] => [5,1,2,3,6,4,7]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [6,1,5,4,3,2,7] => [6,3,4,5,1,2,7]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [6,1,5,3,2,4,7] => [6,3,5,2,1,4,7]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [6,1,5,4,2,3,7] => [6,4,2,5,1,3,7]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [6,1,5,2,4,3,7] => [6,5,4,2,1,3,7]
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [6,1,5,2,3,4,7] => [6,5,2,3,1,4,7]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [6,1,2,5,4,3,7] => [6,1,4,5,2,3,7]
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [6,1,2,5,3,4,7] => [6,1,5,3,2,4,7]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [6,1,3,2,5,4,7] => [6,3,1,5,2,4,7]
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [6,1,2,3,5,4,7] => [6,1,2,5,3,4,7]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [6,1,4,3,2,5,7] => [6,3,4,1,2,5,7]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [6,1,4,2,3,5,7] => [6,4,2,1,3,5,7]
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [6,1,2,4,3,5,7] => [6,1,4,2,3,5,7]
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [6,1,3,2,4,5,7] => [6,3,1,2,4,5,7]
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2,7] => [1,3,4,5,6,2,7]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [1,6,4,3,2,5,7] => [1,3,4,6,2,5,7]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [1,6,5,3,2,4,7] => [1,3,5,2,6,4,7]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [1,6,3,2,5,4,7] => [1,3,6,5,2,4,7]
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [1,6,3,2,4,5,7] => [1,3,6,2,4,5,7]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [1,6,5,4,2,3,7] => [1,4,2,5,6,3,7]
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [1,6,4,2,3,5,7] => [1,4,2,6,3,5,7]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [1,6,5,2,4,3,7] => [1,5,4,2,6,3,7]
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [1,6,5,2,3,4,7] => [1,5,2,3,6,4,7]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [1,6,2,5,4,3,7] => [1,6,4,5,2,3,7]
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7]
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7]
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7]
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3,7] => [2,1,4,5,6,3,7]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [2,1,6,4,3,5,7] => [2,1,4,6,3,5,7]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [2,1,6,5,3,4,7] => [2,1,5,3,6,4,7]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [2,1,6,3,5,4,7] => [2,1,6,5,3,4,7]
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,1,6,3,4,5,7] => [2,1,6,3,4,5,7]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => [1,2,4,5,6,3,7]
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [1,2,6,4,3,5,7] => [1,2,4,6,3,5,7]
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [1,2,6,5,3,4,7] => [1,2,5,3,6,4,7]
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7]
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,6,4,5,7] => [2,3,1,6,4,5,7]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,1,2,6,5,4,7] => [3,1,2,5,6,4,7]
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [3,1,2,6,4,5,7] => [3,1,2,6,4,5,7]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7]
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7] => [2,1,3,5,6,4,7]
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,1,3,6,4,5,7] => [2,1,3,6,4,5,7]
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7]
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [4,3,2,1,6,5,7] => [2,3,4,1,6,5,7]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [4,2,1,3,6,5,7] => [2,4,1,3,6,5,7]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [4,3,1,2,6,5,7] => [3,1,4,2,6,5,7]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [4,1,3,2,6,5,7] => [4,3,1,2,6,5,7]
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [4,1,2,3,6,5,7] => [4,1,2,3,6,5,7]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => [1,3,4,2,6,5,7]
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7]
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [3,2,1,4,6,5,7] => [2,3,1,4,6,5,7]
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [3,1,2,4,6,5,7] => [3,1,2,4,6,5,7]
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7]
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7]
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => [2,3,4,5,1,6,7]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [5,3,2,1,4,6,7] => [2,3,5,1,4,6,7]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [5,4,2,1,3,6,7] => [2,4,1,5,3,6,7]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [5,2,1,4,3,6,7] => [2,5,4,1,3,6,7]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [5,2,1,3,4,6,7] => [2,5,1,3,4,6,7]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [5,4,3,1,2,6,7] => [3,1,4,5,2,6,7]
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [5,3,1,2,4,6,7] => [3,1,5,2,4,6,7]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [5,4,1,3,2,6,7] => [4,3,1,5,2,6,7]
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [5,4,1,2,3,6,7] => [4,1,2,5,3,6,7]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [5,1,4,3,2,6,7] => [5,3,4,1,2,6,7]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,1,4,2,3,6,7] => [5,4,2,1,3,6,7]
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [5,1,2,4,3,6,7] => [5,1,4,2,3,6,7]
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [5,1,3,2,4,6,7] => [5,3,1,2,4,6,7]
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6,7] => [1,3,4,5,2,6,7]
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [1,5,3,2,4,6,7] => [1,3,5,2,4,6,7]
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [1,5,4,2,3,6,7] => [1,4,2,5,3,6,7]
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7]
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [2,1,5,4,3,6,7] => [2,1,4,5,3,6,7]
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,1,5,3,4,6,7] => [2,1,5,3,4,6,7]
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => [1,2,4,5,3,6,7]
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [3,2,1,5,4,6,7] => [2,3,1,5,4,6,7]
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [3,1,2,5,4,6,7] => [3,1,2,5,4,6,7]
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7]
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7]
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => [2,3,4,1,5,6,7]
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [4,2,1,3,5,6,7] => [2,4,1,3,5,6,7]
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [4,3,1,2,5,6,7] => [3,1,4,2,5,6,7]
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [4,1,3,2,5,6,7] => [4,3,1,2,5,6,7]
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7]
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => [1,3,4,2,5,6,7]
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7]
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7]
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7]
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7]
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7]
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7]
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7]
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,7]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [8,5,4,3,2,1,7,6] => [2,3,4,5,8,7,1,6]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [8,5,4,3,2,1,6,7] => [2,3,4,5,8,1,6,7]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,5]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [8,7,4,3,2,1,6,5] => [2,3,4,7,6,1,8,5]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [8,4,3,2,1,7,6,5] => [2,3,4,8,6,7,1,5]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [8,4,3,2,1,6,5,7] => [2,3,4,8,6,1,5,7]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [8,4,3,2,1,5,6,7] => [2,3,4,8,1,5,6,7]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,4]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [8,3,2,1,7,6,5,4] => [2,3,8,5,6,7,1,4]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [8,3,2,1,7,4,6,5] => [2,3,8,7,6,4,1,5]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [8,3,2,1,4,7,6,5] => [2,3,8,1,6,7,4,5]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [8,3,2,1,4,5,6,7] => [2,3,8,1,4,5,6,7]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [8,5,4,2,1,3,7,6] => [2,4,1,5,8,7,3,6]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [8,7,6,4,2,1,3,5] => [2,4,1,6,3,7,8,5]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [8,7,4,2,1,3,5,6] => [2,4,1,7,3,5,8,6]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [8,4,2,1,3,5,6,7] => [2,4,1,8,3,5,6,7]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [8,7,6,5,2,1,3,4] => [2,5,1,3,6,7,8,4]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [8,7,6,2,1,3,4,5] => [2,6,1,3,4,7,8,5]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [8,7,2,1,4,3,6,5] => [2,7,4,1,6,3,8,5]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [8,2,1,7,6,5,4,3] => [2,8,4,5,6,7,1,3]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [8,2,1,7,6,4,3,5] => [2,8,4,6,3,7,1,5]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [8,2,1,7,3,5,4,6] => [2,8,7,5,3,4,1,6]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [8,2,1,7,3,4,5,6] => [2,8,7,3,4,5,1,6]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [8,6,5,4,3,1,2,7] => [3,1,4,5,6,8,2,7]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [8,7,5,4,3,1,2,6] => [3,1,4,5,7,2,8,6]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [8,7,6,5,3,1,2,4] => [3,1,5,2,6,7,8,4]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [8,7,5,3,1,2,4,6] => [3,1,5,2,7,4,8,6]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [8,3,1,2,7,6,5,4] => [3,1,8,5,6,7,2,4]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [8,7,4,1,2,3,5,6] => [4,1,2,7,3,5,8,6]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [8,4,1,2,3,5,6,7] => [4,1,2,8,3,5,6,7]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [8,7,6,5,1,4,3,2] => [5,3,4,1,6,7,8,2]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [8,7,6,5,1,4,2,3] => [5,4,2,1,6,7,8,3]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [8,7,6,5,1,2,4,3] => [5,1,4,2,6,7,8,3]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [8,7,6,5,1,3,2,4] => [5,3,1,2,6,7,8,4]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,4]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [8,7,6,1,5,4,3,2] => [6,3,4,5,1,7,8,2]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [8,6,1,5,4,3,2,7] => [6,3,4,5,1,8,2,7]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [8,7,6,1,2,5,4,3] => [6,1,4,5,2,7,8,3]
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [8,6,1,2,5,4,3,7] => [6,1,4,5,2,8,3,7]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [8,6,1,2,5,3,4,7] => [6,1,5,3,2,8,4,7]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [8,6,1,4,2,3,5,7] => [6,4,2,1,3,8,5,7]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [8,7,1,6,5,2,4,3] => [7,5,4,2,6,1,8,3]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [8,7,1,2,4,3,6,5] => [7,1,4,2,6,3,8,5]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [2,5,4,3,6,8,7,1] => [8,7,1,2,5,4,3,6] => [7,1,4,5,2,3,8,6]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [8,7,1,2,4,3,5,6] => [7,1,4,2,3,5,8,6]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,6]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [8,1,7,6,5,4,3,2] => [8,3,4,5,6,7,1,2]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [8,1,7,5,4,3,2,6] => [8,3,4,5,7,2,1,6]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [8,1,7,4,3,2,6,5] => [8,3,4,7,6,2,1,5]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [8,1,7,3,2,4,5,6] => [8,3,7,2,4,5,1,6]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [8,1,7,2,6,5,4,3] => [8,7,4,5,6,2,1,3]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [8,1,7,2,6,3,5,4] => [8,7,6,5,3,2,1,4]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [8,1,7,2,4,3,6,5] => [8,7,4,2,6,3,1,5]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [8,1,2,7,6,3,5,4] => [8,1,6,5,3,7,2,4]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [8,1,2,7,3,5,4,6] => [8,1,7,5,3,4,2,6]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [8,1,3,2,7,4,6,5] => [8,3,1,7,6,4,2,5]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [8,1,4,3,2,7,6,5] => [8,3,4,1,6,7,2,5]
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [3,4,2,7,6,5,8,1] => [8,1,4,2,3,7,6,5] => [8,4,2,1,6,7,3,5]
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [8,1,4,2,3,7,5,6] => [8,4,2,1,7,5,3,6]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [8,1,2,4,3,7,6,5] => [8,1,4,2,6,7,3,5]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => [8,1,3,2,4,7,6,5] => [8,3,1,2,6,7,4,5]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [8,1,2,3,4,7,6,5] => [8,1,2,3,6,7,4,5]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [8,1,5,4,3,2,7,6] => [8,3,4,5,1,7,2,6]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [8,1,5,2,4,3,7,6] => [8,5,4,2,1,7,3,6]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [8,1,3,2,5,4,7,6] => [8,3,1,5,2,7,4,6]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [8,1,2,3,5,4,7,6] => [8,1,2,5,3,7,4,6]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [8,1,3,2,4,5,7,6] => [8,3,1,2,4,7,5,6]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [8,1,2,4,3,6,5,7] => [8,1,4,2,6,3,5,7]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [8,1,5,4,3,2,6,7] => [8,3,4,5,1,2,6,7]
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [8,1,5,2,3,4,6,7] => [8,5,2,3,1,4,6,7]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => [8,1,2,5,4,3,6,7] => [8,1,4,5,2,3,6,7]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [8,1,4,3,2,5,6,7] => [8,3,4,1,2,5,6,7]
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [8,1,4,2,3,5,6,7] => [8,4,2,1,3,5,6,7]
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [8,1,3,2,4,5,6,7] => [8,3,1,2,4,5,6,7]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [1,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,2]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [1,8,6,5,4,3,2,7] => [1,3,4,5,6,8,2,7]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [1,8,7,5,4,3,2,6] => [1,3,4,5,7,2,8,6]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [1,8,5,4,3,2,7,6] => [1,3,4,5,8,7,2,6]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [1,8,5,4,3,2,6,7] => [1,3,4,5,8,2,6,7]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [1,8,7,6,4,3,2,5] => [1,3,4,6,2,7,8,5]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [1,8,4,3,2,7,6,5] => [1,3,4,8,6,7,2,5]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [1,8,4,3,2,5,6,7] => [1,3,4,8,2,5,6,7]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [1,8,7,6,5,3,2,4] => [1,3,5,2,6,7,8,4]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [1,8,6,5,3,2,4,7] => [1,3,5,2,6,8,4,7]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [1,8,6,4,2,3,5,7] => [1,4,2,6,3,8,5,7]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [1,8,4,2,3,6,5,7] => [1,4,2,8,6,3,5,7]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [1,8,4,2,3,5,6,7] => [1,4,2,8,3,5,6,7]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [1,8,7,6,5,2,4,3] => [1,5,4,2,6,7,8,3]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [1,8,7,6,5,2,3,4] => [1,5,2,3,6,7,8,4]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [1,8,5,2,3,4,7,6] => [1,5,2,3,8,7,4,6]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [1,8,6,2,3,4,5,7] => [1,6,2,3,4,8,5,7]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [1,8,7,2,6,5,4,3] => [1,7,4,5,6,2,8,3]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [1,8,7,2,3,4,5,6] => [1,7,2,3,4,5,8,6]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [1,8,2,4,3,5,6,7] => [1,8,4,2,3,5,6,7]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [2,1,8,7,6,5,4,3] => [2,1,4,5,6,7,8,3]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [2,1,8,5,4,3,6,7] => [2,1,4,5,8,3,6,7]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [2,1,8,7,4,3,6,5] => [2,1,4,7,6,3,8,5]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [2,1,8,4,3,7,6,5] => [2,1,4,8,6,7,3,5]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [2,1,8,4,3,7,5,6] => [2,1,4,8,7,5,3,6]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [2,1,8,4,3,6,5,7] => [2,1,4,8,6,3,5,7]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [2,1,8,7,6,5,3,4] => [2,1,5,3,6,7,8,4]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [2,1,8,7,6,3,4,5] => [2,1,6,3,4,7,8,5]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [2,1,8,7,3,4,6,5] => [2,1,7,3,6,4,8,5]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [2,1,8,3,7,4,6,5] => [2,1,8,7,6,4,3,5]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [2,1,8,3,5,4,7,6] => [2,1,8,5,3,7,4,6]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,1,8,3,4,5,6,7] => [2,1,8,3,4,5,6,7]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [1,2,8,5,4,3,6,7] => [1,2,4,5,8,3,6,7]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [1,2,8,4,3,5,6,7] => [1,2,4,8,3,5,6,7]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [1,2,8,7,6,5,3,4] => [1,2,5,3,6,7,8,4]
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [1,2,8,5,3,4,6,7] => [1,2,5,3,8,4,6,7]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [1,2,8,3,6,5,4,7] => [1,2,8,5,6,3,4,7]
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [3,2,1,8,7,6,5,4] => [2,3,1,5,6,7,8,4]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [3,2,1,8,6,5,4,7] => [2,3,1,5,6,8,4,7]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [3,2,1,8,7,5,4,6] => [2,3,1,5,7,4,8,6]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [3,2,1,8,5,4,7,6] => [2,3,1,5,8,7,4,6]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,2,1,8,5,4,6,7] => [2,3,1,5,8,4,6,7]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [3,2,1,8,7,6,4,5] => [2,3,1,6,4,7,8,5]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,2,1,8,6,4,5,7] => [2,3,1,6,4,8,5,7]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,2,1,8,7,4,6,5] => [2,3,1,7,6,4,8,5]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,2,1,8,7,4,5,6] => [2,3,1,7,4,5,8,6]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [3,2,1,8,4,7,6,5] => [2,3,1,8,6,7,4,5]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,2,1,8,4,7,5,6] => [2,3,1,8,7,5,4,6]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,2,1,8,4,5,7,6] => [2,3,1,8,4,7,5,6]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,2,1,8,4,6,5,7] => [2,3,1,8,6,4,5,7]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,8,4,5,6,7] => [2,3,1,8,4,5,6,7]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [3,1,2,8,7,6,5,4] => [3,1,2,5,6,7,8,4]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [1,3,2,8,7,6,5,4] => [1,3,2,5,6,7,8,4]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [2,1,3,8,7,6,5,4] => [2,1,3,5,6,7,8,4]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [1,2,3,8,7,6,5,4] => [1,2,3,5,6,7,8,4]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [1,2,3,8,6,5,4,7] => [1,2,3,5,6,8,4,7]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [1,2,3,8,7,5,4,6] => [1,2,3,5,7,4,8,6]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [1,2,3,8,5,4,7,6] => [1,2,3,5,8,7,4,6]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [1,2,3,8,5,4,6,7] => [1,2,3,5,8,4,6,7]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [1,2,3,8,7,6,4,5] => [1,2,3,6,4,7,8,5]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [1,2,3,8,6,4,5,7] => [1,2,3,6,4,8,5,7]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [1,2,3,8,7,4,6,5] => [1,2,3,7,6,4,8,5]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [1,2,3,8,7,4,5,6] => [1,2,3,7,4,5,8,6]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [1,2,3,8,4,7,6,5] => [1,2,3,8,6,7,4,5]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [1,2,3,8,4,7,5,6] => [1,2,3,8,7,5,4,6]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,3,2,1,8,7,6,5] => [2,3,4,1,6,7,8,5]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,2,1,8,6,5,7] => [2,3,4,1,6,8,5,7]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,2,1,8,7,5,6] => [2,3,4,1,7,5,8,6]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,2,1,8,5,7,6] => [2,3,4,1,8,7,5,6]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,3,2,1,8,5,6,7] => [2,3,4,1,8,5,6,7]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,2,1,3,8,7,6,5] => [2,4,1,3,6,7,8,5]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [4,2,1,3,8,6,5,7] => [2,4,1,3,6,8,5,7]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [4,2,1,3,8,7,5,6] => [2,4,1,3,7,5,8,6]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [4,2,1,3,8,5,7,6] => [2,4,1,3,8,7,5,6]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [4,2,1,3,8,5,6,7] => [2,4,1,3,8,5,6,7]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1,2,8,7,6,5] => [3,1,4,2,6,7,8,5]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [4,3,1,2,8,6,5,7] => [3,1,4,2,6,8,5,7]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [4,3,1,2,8,7,5,6] => [3,1,4,2,7,5,8,6]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [4,3,1,2,8,5,7,6] => [3,1,4,2,8,7,5,6]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [4,3,1,2,8,5,6,7] => [3,1,4,2,8,5,6,7]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,1,3,2,8,7,6,5] => [4,3,1,2,6,7,8,5]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [4,1,3,2,8,6,5,7] => [4,3,1,2,6,8,5,7]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [4,1,3,2,8,7,5,6] => [4,3,1,2,7,5,8,6]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [4,1,3,2,8,5,7,6] => [4,3,1,2,8,7,5,6]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [4,1,3,2,8,5,6,7] => [4,3,1,2,8,5,6,7]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,1,2,3,8,7,6,5] => [4,1,2,3,6,7,8,5]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [4,1,2,3,8,6,5,7] => [4,1,2,3,6,8,5,7]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [4,1,2,3,8,7,5,6] => [4,1,2,3,7,5,8,6]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [4,1,2,3,8,5,7,6] => [4,1,2,3,8,7,5,6]
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [4,1,2,3,8,5,6,7] => [4,1,2,3,8,5,6,7]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [1,4,3,2,8,7,6,5] => [1,3,4,2,6,7,8,5]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [1,4,3,2,8,5,6,7] => [1,3,4,2,8,5,6,7]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [1,4,2,3,8,7,6,5] => [1,4,2,3,6,7,8,5]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [1,4,2,3,8,5,7,6] => [1,4,2,3,8,7,5,6]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [2,1,4,3,8,7,6,5] => [2,1,4,3,6,7,8,5]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [2,1,4,3,8,6,5,7] => [2,1,4,3,6,8,5,7]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [2,1,4,3,8,7,5,6] => [2,1,4,3,7,5,8,6]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [2,1,4,3,8,5,7,6] => [2,1,4,3,8,7,5,6]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,1,4,3,8,5,6,7] => [2,1,4,3,8,5,6,7]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [1,2,4,3,8,7,6,5] => [1,2,4,3,6,7,8,5]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [1,2,4,3,8,5,7,6] => [1,2,4,3,8,7,5,6]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [3,2,1,4,8,7,6,5] => [2,3,1,4,6,7,8,5]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,2,1,4,8,6,5,7] => [2,3,1,4,6,8,5,7]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,2,1,4,8,5,7,6] => [2,3,1,4,8,7,5,6]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,4,8,5,6,7] => [2,3,1,4,8,5,6,7]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [3,1,2,4,8,7,6,5] => [3,1,2,4,6,7,8,5]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,1,2,4,8,5,7,6] => [3,1,2,4,8,7,5,6]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [3,1,2,4,8,5,6,7] => [3,1,2,4,8,5,6,7]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [1,3,2,4,8,7,6,5] => [1,3,2,4,6,7,8,5]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [1,3,2,4,8,5,7,6] => [1,3,2,4,8,7,5,6]
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [2,1,3,4,8,7,6,5] => [2,1,3,4,6,7,8,5]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [2,1,3,4,8,6,5,7] => [2,1,3,4,6,8,5,7]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [2,1,3,4,8,5,7,6] => [2,1,3,4,8,7,5,6]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,1,3,4,8,5,6,7] => [2,1,3,4,8,5,6,7]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [1,2,3,4,8,7,6,5] => [1,2,3,4,6,7,8,5]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [1,2,3,4,8,6,5,7] => [1,2,3,4,6,8,5,7]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [1,2,3,4,8,5,7,6] => [1,2,3,4,8,7,5,6]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,4,3,2,1,8,7,6] => [2,3,4,5,1,7,8,6]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,4,3,2,1,8,6,7] => [2,3,4,5,1,8,6,7]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [5,3,2,1,4,8,7,6] => [2,3,5,1,4,7,8,6]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [5,4,2,1,3,8,7,6] => [2,4,1,5,3,7,8,6]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [5,2,1,4,3,8,7,6] => [2,5,4,1,3,7,8,6]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [5,2,1,3,4,8,7,6] => [2,5,1,3,4,7,8,6]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [5,4,3,1,2,8,7,6] => [3,1,4,5,2,7,8,6]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [5,3,1,2,4,8,7,6] => [3,1,5,2,4,7,8,6]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [5,4,1,3,2,8,7,6] => [4,3,1,5,2,7,8,6]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [5,4,1,2,3,8,7,6] => [4,1,2,5,3,7,8,6]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [5,1,4,3,2,8,7,6] => [5,3,4,1,2,7,8,6]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [5,1,4,2,3,8,7,6] => [5,4,2,1,3,7,8,6]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [5,1,2,4,3,8,7,6] => [5,1,4,2,3,7,8,6]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [5,1,3,2,4,8,7,6] => [5,3,1,2,4,7,8,6]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [5,1,2,3,4,8,7,6] => [5,1,2,3,4,7,8,6]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [4,3,2,1,5,8,7,6] => [2,3,4,1,5,7,8,6]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,3,2,1,5,8,6,7] => [2,3,4,1,5,8,6,7]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [4,1,2,3,5,8,7,6] => [4,1,2,3,5,7,8,6]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [4,1,2,3,5,8,6,7] => [4,1,2,3,5,8,6,7]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,2,1,4,5,8,7,6] => [2,3,1,4,5,7,8,6]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [3,1,2,4,5,8,6,7] => [3,1,2,4,5,8,6,7]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,8,6]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => [2,3,4,5,6,1,8,7]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [6,4,3,2,1,5,8,7] => [2,3,4,6,1,5,8,7]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [6,3,2,1,4,5,8,7] => [2,3,6,1,4,5,8,7]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [6,5,4,2,1,3,8,7] => [2,4,1,5,6,3,8,7]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [6,5,2,1,4,3,8,7] => [2,5,4,1,6,3,8,7]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [6,2,1,5,4,3,8,7] => [2,6,4,5,1,3,8,7]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [6,2,1,5,3,4,8,7] => [2,6,5,3,1,4,8,7]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [6,2,1,4,3,5,8,7] => [2,6,4,1,3,5,8,7]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [6,5,4,1,2,3,8,7] => [4,1,2,5,6,3,8,7]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [6,5,1,2,4,3,8,7] => [5,1,4,2,6,3,8,7]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [6,1,5,4,3,2,8,7] => [6,3,4,5,1,2,8,7]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [6,1,5,2,4,3,8,7] => [6,5,4,2,1,3,8,7]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [6,1,3,2,5,4,8,7] => [6,3,1,5,2,4,8,7]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [6,1,2,3,4,5,8,7] => [6,1,2,3,4,5,8,7]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [2,1,6,5,4,3,8,7] => [2,1,4,5,6,3,8,7]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [2,1,6,4,3,5,8,7] => [2,1,4,6,3,5,8,7]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [2,1,6,5,3,4,8,7] => [2,1,5,3,6,4,8,7]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [2,1,6,3,5,4,8,7] => [2,1,6,5,3,4,8,7]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,1,6,3,4,5,8,7] => [2,1,6,3,4,5,8,7]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => [2,3,4,1,6,5,8,7]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [4,2,1,3,6,5,8,7] => [2,4,1,3,6,5,8,7]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [4,3,1,2,6,5,8,7] => [3,1,4,2,6,5,8,7]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [4,1,3,2,6,5,8,7] => [4,3,1,2,6,5,8,7]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [4,1,2,3,6,5,8,7] => [4,1,2,3,6,5,8,7]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [5,4,3,2,1,6,8,7] => [2,3,4,5,1,6,8,7]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => [2,1,5,4,3,6,8,7] => [2,1,4,5,3,6,8,7]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [4,3,2,1,5,6,8,7] => [2,3,4,1,5,6,8,7]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [4,1,2,3,5,6,8,7] => [4,1,2,3,5,6,8,7]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,1,8]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [7,5,4,3,2,1,6,8] => [2,3,4,5,7,1,6,8]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [7,6,4,3,2,1,5,8] => [2,3,4,6,1,7,5,8]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [7,4,3,2,1,6,5,8] => [2,3,4,7,6,1,5,8]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [7,4,3,2,1,5,6,8] => [2,3,4,7,1,5,6,8]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [7,6,5,3,2,1,4,8] => [2,3,5,1,6,7,4,8]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [7,3,2,1,4,5,6,8] => [2,3,7,1,4,5,6,8]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [7,6,5,2,1,3,4,8] => [2,5,1,3,6,7,4,8]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [7,6,5,4,1,3,2,8] => [4,3,1,5,6,7,2,8]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [7,5,4,1,3,2,6,8] => [4,3,1,5,7,2,6,8]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [7,1,6,2,5,3,4,8] => [7,6,5,3,2,1,4,8]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8] => [7,1,5,4,2,3,6,8] => [7,4,2,5,1,3,6,8]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [7,1,3,2,4,5,6,8] => [7,3,1,2,4,5,6,8]
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,6,8]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [1,7,5,2,3,4,6,8] => [1,5,2,3,7,4,6,8]
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [1,7,6,2,3,4,5,8] => [1,6,2,3,4,7,5,8]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [3,1,2,7,4,5,6,8] => [3,1,2,7,4,5,6,8]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [4,3,2,1,7,6,5,8] => [2,3,4,1,6,7,5,8]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [4,3,2,1,7,5,6,8] => [2,3,4,1,7,5,6,8]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [4,1,2,3,7,6,5,8] => [4,1,2,3,6,7,5,8]
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [4,1,2,3,7,5,6,8] => [4,1,2,3,7,5,6,8]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [1,4,3,2,7,6,5,8] => [1,3,4,2,6,7,5,8]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [3,2,1,4,7,6,5,8] => [2,3,1,4,6,7,5,8]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [5,4,3,2,1,7,6,8] => [2,3,4,5,1,7,6,8]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,1,5,4,7,6,8] => [2,3,1,5,4,7,6,8]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [3,1,2,5,4,7,6,8] => [3,1,2,5,4,7,6,8]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [4,3,2,1,5,7,6,8] => [2,3,4,1,5,7,6,8]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [4,1,3,2,5,7,6,8] => [4,3,1,2,5,7,6,8]
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [4,1,2,3,5,7,6,8] => [4,1,2,3,5,7,6,8]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7,8] => [2,3,4,5,6,1,7,8]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [6,5,1,2,3,4,7,8] => [5,1,2,3,6,4,7,8]
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [6,1,2,3,4,5,7,8] => [6,1,2,3,4,5,7,8]
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [1,2,6,5,3,4,7,8] => [1,2,5,3,6,4,7,8]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [4,3,2,1,6,5,7,8] => [2,3,4,1,6,5,7,8]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [4,1,2,3,6,5,7,8] => [4,1,2,3,6,5,7,8]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7,8] => [2,3,4,5,1,6,7,8]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [5,4,1,3,2,6,7,8] => [4,3,1,5,2,6,7,8]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [5,1,2,3,4,6,7,8] => [5,1,2,3,4,6,7,8]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [2,3,4,1,5,6,7,8]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [4,1,3,2,5,6,7,8] => [4,3,1,2,5,6,7,8]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [4,1,2,3,5,6,7,8] => [4,1,2,3,5,6,7,8]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,8]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [9,6,5,4,3,2,1,7,8] => [2,3,4,5,6,9,1,7,8]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,1]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [10,8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,10,1,9]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [10,1,2,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,9]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [9,6,5,4,3,2,1,8,7] => [2,3,4,5,6,9,8,1,7]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [9,4,3,2,1,8,7,6,5] => [2,3,4,9,6,7,8,1,5]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [9,2,1,8,7,6,5,4,3] => [2,9,4,5,6,7,8,1,3]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [9,1,8,7,6,5,4,3,2] => [9,3,4,5,6,7,8,1,2]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,1,9]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [10,7,6,5,4,3,2,1,9,8] => [2,3,4,5,6,7,10,9,1,8]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [10,2,1,9,8,7,6,5,4,3] => [2,10,4,5,6,7,8,9,1,3]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [10,1,9,8,7,6,5,4,3,2] => [10,3,4,5,6,7,8,9,1,2]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,1,10]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,1,4,3,6,5,8,7,10,9,12,11]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [9,1,3,2,4,5,6,7,8] => [9,3,1,2,4,5,6,7,8]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [11,1,2,3,4,5,6,7,8,9,10] => [11,1,2,3,4,5,6,7,8,9,10]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,6,7,8] => [1,2,3,4,5,9,6,7,8]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,5,6,7,8] => [1,2,3,4,9,5,6,7,8]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,4,5,6,7,8] => [1,2,3,9,4,5,6,7,8]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [1,2,9,3,4,5,6,7,8] => [1,2,9,3,4,5,6,7,8]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,9,7]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,10,8,9]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,9,6,8,7] => [1,2,3,4,5,9,8,6,7]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,10,7,8,9] => [1,2,3,4,5,6,10,7,8,9]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,10,6,7,8,9] => [1,2,3,4,5,10,6,7,8,9]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,10,5,6,7,8,9] => [1,2,3,4,10,5,6,7,8,9]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,10,4,5,6,7,8,9] => [1,2,3,10,4,5,6,7,8,9]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [1,2,10,3,4,5,6,7,8,9] => [1,2,10,3,4,5,6,7,8,9]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [1,10,2,3,4,5,6,7,8,9] => [1,10,2,3,4,5,6,7,8,9]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [1,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,2]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [8,6,5,4,3,2,1,7,9] => [2,3,4,5,6,8,1,7,9]
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,8,9,7,6,5,4,3,2] => [1,9,7,6,5,4,3,2,8] => [1,3,4,5,6,7,9,2,8]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [1,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,2]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,1,11]
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,8,7,9,6,5,4,3,2] => [1,9,6,5,4,3,2,8,7] => [1,3,4,5,6,9,8,2,7]
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,9,10,8,7,6,5,4,3,2] => [1,10,8,7,6,5,4,3,2,9] => [1,3,4,5,6,7,8,10,2,9]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [1,11,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,11,2]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [2,1,10,9,8,7,6,5,4,3] => [2,1,4,5,6,7,8,9,10,3]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [4,3,2,1,10,9,8,7,6,5] => [2,3,4,1,6,7,8,9,10,5]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [6,5,4,3,2,1,10,9,8,7] => [2,3,4,5,6,1,8,9,10,7]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [8,7,6,5,4,3,2,1,10,9] => [2,3,4,5,6,7,8,1,10,9]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,1,8,9]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,7,8,9] => [2,3,4,5,6,1,7,8,9]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [8,7,6,5,4,3,2,1,9,10] => [2,3,4,5,6,7,8,1,9,10]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [7,6,5,4,3,2,1,8,9,10] => [2,3,4,5,6,7,1,8,9,10]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [8,1,2,3,4,5,6,7,9] => [8,1,2,3,4,5,6,7,9]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,1,2,3,4,5,6,8,9] => [7,1,2,3,4,5,6,8,9]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [9,1,2,3,4,5,6,7,8,10] => [9,1,2,3,4,5,6,7,8,10]
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
invert Laguerre heap
Description
The permutation obtained by inverting the corresponding Laguerre heap, according to Viennot.
Let $\pi$ be a permutation. Following Viennot [1], we associate to $\pi$ a heap of pieces, by considering each decreasing run $(\pi_i, \pi_{i+1}, \dots, \pi_j)$ of $\pi$ as one piece, beginning with the left most run. Two pieces commute if and only if the minimal element of one piece is larger than the maximal element of the other piece.
This map yields the permutation corresponding to the heap obtained by reversing the reading direction of the heap.
Equivalently, this is the permutation obtained by flipping the noncrossing arc diagram of Reading [2] vertically.
By definition, this map preserves the set of decreasing runs.
Let $\pi$ be a permutation. Following Viennot [1], we associate to $\pi$ a heap of pieces, by considering each decreasing run $(\pi_i, \pi_{i+1}, \dots, \pi_j)$ of $\pi$ as one piece, beginning with the left most run. Two pieces commute if and only if the minimal element of one piece is larger than the maximal element of the other piece.
This map yields the permutation corresponding to the heap obtained by reversing the reading direction of the heap.
Equivalently, this is the permutation obtained by flipping the noncrossing arc diagram of Reading [2] vertically.
By definition, this map preserves the set of decreasing runs.
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 $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, 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 $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maximima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.
searching the database
Sorry, this map was not found in the database.