- FindStat

Identifier

Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00149: Permutations —Lehmer code rotation⟶ Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations

Images

[.,.] => [1] => [1] => [1]

[.,[.,.]] => [2,1] => [1,2] => [1,2]

[[.,.],.] => [1,2] => [2,1] => [2,1]

[.,[.,[.,.]]] => [3,2,1] => [1,2,3] => [1,2,3]

[.,[[.,.],.]] => [2,3,1] => [3,1,2] => [3,1,2]

[[.,.],[.,.]] => [1,3,2] => [2,1,3] => [2,1,3]

[[.,[.,.]],.] => [2,1,3] => [3,2,1] => [2,3,1]

[[[.,.],.],.] => [1,2,3] => [2,3,1] => [3,2,1]

[.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,2,3,4] => [1,2,3,4]

[.,[.,[[.,.],.]]] => [3,4,2,1] => [4,1,2,3] => [4,1,2,3]

[.,[[.,.],[.,.]]] => [2,4,3,1] => [3,1,2,4] => [3,1,2,4]

[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,3,1,2] => [3,1,4,2]

[.,[[[.,.],.],.]] => [2,3,4,1] => [3,4,1,2] => [4,1,3,2]

[[.,.],[.,[.,.]]] => [1,4,3,2] => [2,1,3,4] => [2,1,3,4]

[[.,.],[[.,.],.]] => [1,3,4,2] => [2,4,1,3] => [4,2,1,3]

[[.,[.,.]],[.,.]] => [2,1,4,3] => [3,2,1,4] => [2,3,1,4]

[[[.,.],.],[.,.]] => [1,2,4,3] => [2,3,1,4] => [3,2,1,4]

[[.,[.,[.,.]]],.] => [3,2,1,4] => [4,3,2,1] => [2,3,4,1]

[[.,[[.,.],.]],.] => [2,3,1,4] => [3,4,2,1] => [2,4,3,1]

[[[.,.],[.,.]],.] => [1,3,2,4] => [2,4,3,1] => [3,2,4,1]

[[[.,[.,.]],.],.] => [2,1,3,4] => [3,2,4,1] => [4,3,2,1]

[[[[.,.],.],.],.] => [1,2,3,4] => [2,3,4,1] => [4,2,3,1]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 1846 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [4,3,6,5,7,1,2,8] => [7,1,4,3,6,5,2,8]

[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [4,5,3,6,7,1,2,8] => [7,1,5,4,3,6,2,8]

[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [4,3,5,6,7,1,2,8] => [7,1,4,3,5,6,2,8]

[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [3,4,5,6,7,1,2,8] => [7,1,3,4,5,6,2,8]

[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,2]

[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [7,8,6,5,4,3,1,2] => [3,1,4,5,6,8,7,2]

[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [6,8,7,5,4,3,1,2] => [3,1,4,5,7,6,8,2]

[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [7,6,8,5,4,3,1,2] => [3,1,4,5,8,7,6,2]

[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [6,7,8,5,4,3,1,2] => [3,1,4,5,8,6,7,2]

[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => [5,8,7,6,4,3,1,2] => [3,1,4,6,5,7,8,2]

[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [7,6,5,8,4,3,1,2] => [3,1,4,8,6,7,5,2]

[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [5,7,6,8,4,3,1,2] => [3,1,4,8,5,7,6,2]

[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [5,6,7,8,4,3,1,2] => [3,1,4,8,5,6,7,2]

[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [4,6,8,7,5,3,1,2] => [3,1,5,4,7,6,8,2]

[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [4,6,7,8,5,3,1,2] => [3,1,5,4,8,6,7,2]

[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [5,4,8,7,6,3,1,2] => [3,1,6,5,4,7,8,2]

[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [4,3,6,7,5,2,8,1] => [5,4,7,8,6,3,1,2] => [3,1,6,5,4,8,7,2]

[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1] => [4,5,8,7,6,3,1,2] => [3,1,6,4,5,7,8,2]

[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [4,5,7,8,6,3,1,2] => [3,1,6,4,5,8,7,2]

[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => [6,5,4,8,7,3,1,2] => [3,1,7,5,6,4,8,2]

[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [4,6,5,8,7,3,1,2] => [3,1,7,4,6,5,8,2]

[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [3,4,5,7,6,2,8,1] => [4,5,6,8,7,3,1,2] => [3,1,7,4,5,6,8,2]

[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [7,6,5,4,8,3,1,2] => [3,1,8,5,6,7,4,2]

[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [5,7,6,4,8,3,1,2] => [3,1,8,6,5,7,4,2]

[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [6,5,7,4,8,3,1,2] => [3,1,8,7,6,5,4,2]

[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [4,7,6,5,8,3,1,2] => [3,1,8,4,6,7,5,2]

[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [4,6,7,5,8,3,1,2] => [3,1,8,4,7,6,5,2]

[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [5,4,7,6,8,3,1,2] => [3,1,8,5,4,7,6,2]

[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [4,5,7,6,8,3,1,2] => [3,1,8,4,5,7,6,2]

[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [6,5,4,7,8,3,1,2] => [3,1,8,5,6,4,7,2]

[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [5,6,4,7,8,3,1,2] => [3,1,8,6,5,4,7,2]

[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [3,5,4,6,7,2,8,1] => [4,6,5,7,8,3,1,2] => [3,1,8,4,6,5,7,2]

[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [5,4,6,7,8,3,1,2] => [3,1,8,5,4,6,7,2]

[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [4,5,6,7,8,3,1,2] => [3,1,8,4,5,6,7,2]

[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [3,8,7,6,5,4,1,2] => [4,1,3,5,6,7,8,2]

[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [3,7,6,8,5,4,1,2] => [4,1,3,5,8,7,6,2]

[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [3,6,7,8,5,4,1,2] => [4,1,3,5,8,6,7,2]

[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [3,5,7,8,6,4,1,2] => [4,1,3,6,5,8,7,2]

[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [3,6,5,8,7,4,1,2] => [4,1,3,7,6,5,8,2]

[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [3,5,7,6,8,4,1,2] => [4,1,3,8,5,7,6,2]

[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [3,6,5,7,8,4,1,2] => [4,1,3,8,6,5,7,2]

[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [3,5,6,7,8,4,1,2] => [4,1,3,8,5,6,7,2]

[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [4,3,8,7,6,5,1,2] => [5,1,4,3,6,7,8,2]

[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [4,3,7,8,6,5,1,2] => [5,1,4,3,6,8,7,2]

[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [4,3,6,8,7,5,1,2] => [5,1,4,3,7,6,8,2]

[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [4,3,7,6,8,5,1,2] => [5,1,4,3,8,7,6,2]

[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [4,3,6,7,8,5,1,2] => [5,1,4,3,8,6,7,2]

[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [3,4,8,7,6,5,1,2] => [5,1,3,4,6,7,8,2]

[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [3,4,6,8,7,5,1,2] => [5,1,3,4,7,6,8,2]

[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [3,4,6,7,8,5,1,2] => [5,1,3,4,8,6,7,2]

[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [5,4,3,8,7,6,1,2] => [6,1,4,5,3,7,8,2]

[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [4,3,2,6,7,5,8,1] => [5,4,3,7,8,6,1,2] => [6,1,4,5,3,8,7,2]

[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [3,4,2,7,6,5,8,1] => [4,5,3,8,7,6,1,2] => [6,1,5,4,3,7,8,2]

[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [4,5,3,7,8,6,1,2] => [6,1,5,4,3,8,7,2]

[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [3,5,4,8,7,6,1,2] => [6,1,3,5,4,7,8,2]

[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [3,5,4,7,8,6,1,2] => [6,1,3,5,4,8,7,2]

[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => [4,3,5,8,7,6,1,2] => [6,1,4,3,5,7,8,2]

[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [3,4,5,8,7,6,1,2] => [6,1,3,4,5,7,8,2]

[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [3,4,5,7,8,6,1,2] => [6,1,3,4,5,8,7,2]

[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [6,5,4,3,8,7,1,2] => [7,1,4,5,6,3,8,2]

[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [4,6,5,3,8,7,1,2] => [7,1,5,4,6,3,8,2]

[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [5,4,6,3,8,7,1,2] => [7,1,6,5,4,3,8,2]

[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [4,5,6,3,8,7,1,2] => [7,1,6,4,5,3,8,2]

[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [2,5,4,3,7,6,8,1] => [3,6,5,4,8,7,1,2] => [7,1,3,5,6,4,8,2]

[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [4,3,6,5,8,7,1,2] => [7,1,4,3,6,5,8,2]

[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [3,4,6,5,8,7,1,2] => [7,1,3,4,6,5,8,2]

[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [5,4,3,6,8,7,1,2] => [7,1,4,5,3,6,8,2]

[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [4,5,3,6,8,7,1,2] => [7,1,5,4,3,6,8,2]

[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [3,5,4,6,8,7,1,2] => [7,1,3,5,4,6,8,2]

[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [4,3,5,6,8,7,1,2] => [7,1,4,3,5,6,8,2]

[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [3,4,5,6,8,7,1,2] => [7,1,3,4,5,6,8,2]

[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [7,6,5,4,3,8,1,2] => [8,1,4,5,6,7,3,2]

[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [6,5,7,4,3,8,1,2] => [8,1,4,7,6,5,3,2]

[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [5,6,7,4,3,8,1,2] => [8,1,4,7,5,6,3,2]

[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [3,6,5,4,2,7,8,1] => [4,7,6,5,3,8,1,2] => [8,1,5,4,6,7,3,2]

[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => [4,6,7,5,3,8,1,2] => [8,1,5,4,7,6,3,2]

[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [4,5,7,6,3,8,1,2] => [8,1,6,4,5,7,3,2]

[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [6,5,4,7,3,8,1,2] => [8,1,7,5,6,4,3,2]

[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [3,5,4,6,2,7,8,1] => [4,6,5,7,3,8,1,2] => [8,1,7,4,6,5,3,2]

[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [5,4,6,7,3,8,1,2] => [8,1,7,5,4,6,3,2]

[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [4,5,6,7,3,8,1,2] => [8,1,7,4,5,6,3,2]

[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [3,7,6,5,4,8,1,2] => [8,1,3,5,6,7,4,2]

[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => [3,6,7,5,4,8,1,2] => [8,1,3,5,7,6,4,2]

[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => [3,5,7,6,4,8,1,2] => [8,1,3,6,5,7,4,2]

[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [3,6,5,7,4,8,1,2] => [8,1,3,7,6,5,4,2]

[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => [3,5,6,7,4,8,1,2] => [8,1,3,7,5,6,4,2]

[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [4,3,6,7,5,8,1,2] => [8,1,4,3,7,6,5,2]

[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [3,4,7,6,5,8,1,2] => [8,1,3,4,6,7,5,2]

[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [3,4,6,7,5,8,1,2] => [8,1,3,4,7,6,5,2]

[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [4,3,2,6,5,7,8,1] => [5,4,3,7,6,8,1,2] => [8,1,4,5,3,7,6,2]

[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [4,5,3,7,6,8,1,2] => [8,1,5,4,3,7,6,2]

[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [3,5,4,7,6,8,1,2] => [8,1,3,5,4,7,6,2]

[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [3,4,5,7,6,8,1,2] => [8,1,3,4,5,7,6,2]

[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [6,5,4,3,7,8,1,2] => [8,1,4,5,6,3,7,2]

[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [5,6,4,3,7,8,1,2] => [8,1,4,6,5,3,7,2]

[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => [4,6,5,3,7,8,1,2] => [8,1,5,4,6,3,7,2]

[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [5,4,6,3,7,8,1,2] => [8,1,6,5,4,3,7,2]

[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [4,5,6,3,7,8,1,2] => [8,1,6,4,5,3,7,2]

[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => [3,6,5,4,7,8,1,2] => [8,1,3,5,6,4,7,2]

[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [3,5,6,4,7,8,1,2] => [8,1,3,6,5,4,7,2]

[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [4,3,6,5,7,8,1,2] => [8,1,4,3,6,5,7,2]

[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [3,4,6,5,7,8,1,2] => [8,1,3,4,6,5,7,2]

[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [5,4,3,6,7,8,1,2] => [8,1,4,5,3,6,7,2]

[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [4,5,3,6,7,8,1,2] => [8,1,5,4,3,6,7,2]

[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [3,5,4,6,7,8,1,2] => [8,1,3,5,4,6,7,2]

[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [4,3,5,6,7,8,1,2] => [8,1,4,3,5,6,7,2]

[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [3,4,5,6,7,8,1,2] => [8,1,3,4,5,6,7,2]

[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8]

[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [2,8,1,3,4,5,6,7] => [8,2,1,3,4,5,6,7]

[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [2,7,1,3,4,5,6,8] => [7,2,1,3,4,5,6,8]

[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [2,8,7,1,3,4,5,6] => [7,2,1,3,4,5,8,6]

[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [2,7,8,1,3,4,5,6] => [8,2,1,3,4,5,7,6]

[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [2,6,1,3,4,5,7,8] => [6,2,1,3,4,5,7,8]

[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [2,7,6,1,3,4,5,8] => [6,2,1,3,4,7,5,8]

[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [2,8,7,6,1,3,4,5] => [6,2,1,3,4,7,8,5]

[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [2,7,8,6,1,3,4,5] => [6,2,1,3,4,8,7,5]

[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [2,6,8,7,1,3,4,5] => [7,2,1,3,4,6,8,5]

[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [2,7,6,8,1,3,4,5] => [8,2,1,3,4,7,6,5]

[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [2,6,7,8,1,3,4,5] => [8,2,1,3,4,6,7,5]

[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [2,5,1,3,4,6,7,8] => [5,2,1,3,4,6,7,8]

[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [2,5,8,1,3,4,6,7] => [8,2,1,3,5,4,6,7]

[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [2,5,7,8,1,3,4,6] => [8,2,1,3,5,4,7,6]

[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [2,6,5,8,1,3,4,7] => [8,2,1,3,6,5,4,7]

[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [2,5,6,1,3,4,7,8] => [6,2,1,3,5,4,7,8]

[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [2,5,6,8,1,3,4,7] => [8,2,1,3,5,6,4,7]

[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,6,5,4,8,7,3,2] => [2,7,6,5,1,3,4,8] => [5,2,1,3,6,7,4,8]

[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [2,6,5,7,1,3,4,8] => [7,2,1,3,6,5,4,8]

[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [2,8,7,6,5,1,3,4] => [5,2,1,3,6,7,8,4]

[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [2,5,8,7,6,1,3,4] => [6,2,1,3,5,7,8,4]

[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [2,5,7,8,6,1,3,4] => [6,2,1,3,5,8,7,4]

[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [2,7,6,5,8,1,3,4] => [8,2,1,3,6,7,5,4]

[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,5,6,4,7,8,3,2] => [2,6,7,5,8,1,3,4] => [8,2,1,3,7,6,5,4]

[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => [2,6,5,7,8,1,3,4] => [8,2,1,3,6,5,7,4]

[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [2,5,6,7,8,1,3,4] => [8,2,1,3,5,6,7,4]

[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [2,4,1,3,5,6,7,8] => [4,2,1,3,5,6,7,8]

[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [2,4,8,1,3,5,6,7] => [8,2,1,4,3,5,6,7]

[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [2,4,7,1,3,5,6,8] => [7,2,1,4,3,5,6,8]

[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [2,4,7,8,1,3,5,6] => [8,2,1,4,3,5,7,6]

[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [2,4,6,1,3,5,7,8] => [6,2,1,4,3,5,7,8]

[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [2,4,6,8,1,3,5,7] => [8,2,1,4,3,6,5,7]

[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [2,4,6,7,1,3,5,8] => [7,2,1,4,3,6,5,8]

[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [2,4,7,8,6,1,3,5] => [6,2,1,4,3,8,7,5]

[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [2,4,6,8,7,1,3,5] => [7,2,1,4,3,6,8,5]

[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [2,4,7,6,8,1,3,5] => [8,2,1,4,3,7,6,5]

[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [2,4,6,7,8,1,3,5] => [8,2,1,4,3,6,7,5]

[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [2,5,4,1,3,6,7,8] => [4,2,1,5,3,6,7,8]

[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [2,5,4,8,1,3,6,7] => [8,2,1,5,4,3,6,7]

[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => [2,5,4,8,7,1,3,6] => [7,2,1,5,4,3,8,6]

[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [2,5,4,7,8,1,3,6] => [8,2,1,5,4,3,7,6]

[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [2,4,5,1,3,6,7,8] => [5,2,1,4,3,6,7,8]

[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [2,4,5,8,7,1,3,6] => [7,2,1,4,5,3,8,6]

[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [2,4,5,7,8,1,3,6] => [8,2,1,4,5,3,7,6]

[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [2,6,5,4,1,3,7,8] => [4,2,1,5,6,3,7,8]

[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [2,5,6,4,1,3,7,8] => [4,2,1,6,5,3,7,8]

[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [2,5,6,4,8,1,3,7] => [8,2,1,6,5,4,3,7]

[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [2,4,6,5,8,1,3,7] => [8,2,1,4,6,5,3,7]

[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [2,5,4,6,1,3,7,8] => [6,2,1,5,4,3,7,8]

[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [2,5,4,6,8,1,3,7] => [8,2,1,5,4,6,3,7]

[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [2,4,5,6,1,3,7,8] => [6,2,1,4,5,3,7,8]

[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [2,4,5,6,8,1,3,7] => [8,2,1,4,5,6,3,7]

[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [2,7,6,5,4,1,3,8] => [4,2,1,5,6,7,3,8]

[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [2,6,7,5,4,1,3,8] => [4,2,1,5,7,6,3,8]

[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [2,5,6,7,4,1,3,8] => [4,2,1,7,5,6,3,8]

[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [2,5,4,7,6,1,3,8] => [6,2,1,5,4,7,3,8]

[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [2,6,5,4,7,1,3,8] => [7,2,1,5,6,4,3,8]

[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [2,5,6,4,7,1,3,8] => [7,2,1,6,5,4,3,8]

[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [2,4,5,6,7,1,3,8] => [7,2,1,4,5,6,3,8]

[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [2,8,7,6,5,4,1,3] => [4,2,1,5,6,7,8,3]

[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [2,7,8,6,5,4,1,3] => [4,2,1,5,6,8,7,3]

[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [2,7,6,8,5,4,1,3] => [4,2,1,5,8,7,6,3]

[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,5,6,7,4,3,8,2] => [2,6,7,8,5,4,1,3] => [4,2,1,5,8,6,7,3]

[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [2,5,7,8,6,4,1,3] => [4,2,1,6,5,8,7,3]

[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [2,6,7,5,8,4,1,3] => [4,2,1,8,7,6,5,3]

[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [2,5,7,6,8,4,1,3] => [4,2,1,8,5,7,6,3]

[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [2,6,5,7,8,4,1,3] => [4,2,1,8,6,5,7,3]

[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [2,5,6,7,8,4,1,3] => [4,2,1,8,5,6,7,3]

[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [2,4,6,8,7,5,1,3] => [5,2,1,4,7,6,8,3]

[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [2,4,7,6,8,5,1,3] => [5,2,1,4,8,7,6,3]

[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [2,4,6,7,8,5,1,3] => [5,2,1,4,8,6,7,3]

[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [2,5,4,7,8,6,1,3] => [6,2,1,5,4,8,7,3]

[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [2,4,5,8,7,6,1,3] => [6,2,1,4,5,7,8,3]

[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [2,4,6,5,8,7,1,3] => [7,2,1,4,6,5,8,3]

[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [2,4,5,6,8,7,1,3] => [7,2,1,4,5,6,8,3]

[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [2,7,6,5,4,8,1,3] => [8,2,1,5,6,7,4,3]

[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [2,6,5,7,4,8,1,3] => [8,2,1,7,6,5,4,3]

[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [2,4,6,7,5,8,1,3] => [8,2,1,4,7,6,5,3]

[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [2,5,4,7,6,8,1,3] => [8,2,1,5,4,7,6,3]

[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [2,4,5,7,6,8,1,3] => [8,2,1,4,5,7,6,3]

[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [2,6,5,4,7,8,1,3] => [8,2,1,5,6,4,7,3]

[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [2,5,6,4,7,8,1,3] => [8,2,1,6,5,4,7,3]

[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [2,4,6,5,7,8,1,3] => [8,2,1,4,6,5,7,3]

[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [2,5,4,6,7,8,1,3] => [8,2,1,5,4,6,7,3]

[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [2,4,5,6,7,8,1,3] => [8,2,1,4,5,6,7,3]

[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8]

[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [3,2,8,1,4,5,6,7] => [8,3,2,1,4,5,6,7]

[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [3,2,7,1,4,5,6,8] => [7,3,2,1,4,5,6,8]

[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [3,2,8,7,1,4,5,6] => [7,3,2,1,4,5,8,6]

[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [3,2,7,8,1,4,5,6] => [8,3,2,1,4,5,7,6]

[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [3,2,6,1,4,5,7,8] => [6,3,2,1,4,5,7,8]

[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [3,2,6,8,1,4,5,7] => [8,3,2,1,4,6,5,7]

[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [3,2,7,6,1,4,5,8] => [6,3,2,1,4,7,5,8]

[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [3,2,6,7,1,4,5,8] => [7,3,2,1,4,6,5,8]

[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [3,2,8,7,6,1,4,5] => [6,3,2,1,4,7,8,5]

[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [3,2,7,8,6,1,4,5] => [6,3,2,1,4,8,7,5]

[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [3,2,6,8,7,1,4,5] => [7,3,2,1,4,6,8,5]

[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [3,2,7,6,8,1,4,5] => [8,3,2,1,4,7,6,5]

[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,6,7,8,1,4,5] => [8,3,2,1,4,6,7,5]

[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [3,2,5,1,4,6,7,8] => [5,3,2,1,4,6,7,8]

[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [3,2,5,8,1,4,6,7] => [8,3,2,1,5,4,6,7]

[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [3,2,5,7,1,4,6,8] => [7,3,2,1,5,4,6,8]

[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [2,1,4,7,6,8,5,3] => [3,2,5,8,7,1,4,6] => [7,3,2,1,5,4,8,6]

[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [3,2,6,5,1,4,7,8] => [5,3,2,1,6,4,7,8]

[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,6,5,8,1,4,7] => [8,3,2,1,6,5,4,7]

[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [3,2,5,6,1,4,7,8] => [6,3,2,1,5,4,7,8]

[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,5,6,8,1,4,7] => [8,3,2,1,5,6,4,7]

[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [3,2,7,6,5,1,4,8] => [5,3,2,1,6,7,4,8]

[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,6,7,5,1,4,8] => [5,3,2,1,7,6,4,8]

[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,5,7,6,1,4,8] => [6,3,2,1,5,7,4,8]

[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,6,5,7,1,4,8] => [7,3,2,1,6,5,4,8]

[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,5,6,7,1,4,8] => [7,3,2,1,5,6,4,8]

[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [3,2,8,7,6,5,1,4] => [5,3,2,1,6,7,8,4]

[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [3,2,6,8,7,5,1,4] => [5,3,2,1,7,6,8,4]

[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [3,2,7,6,8,5,1,4] => [5,3,2,1,8,7,6,4]

[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [3,2,6,7,8,5,1,4] => [5,3,2,1,8,6,7,4]

[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [3,2,5,8,7,6,1,4] => [6,3,2,1,5,7,8,4]

[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,5,7,8,6,1,4] => [6,3,2,1,5,8,7,4]

[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,6,5,8,7,1,4] => [7,3,2,1,6,5,8,4]

[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,6,7,5,8,1,4] => [8,3,2,1,7,6,5,4]

[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,6,5,7,8,1,4] => [8,3,2,1,6,5,7,4]

[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [3,2,5,6,7,8,1,4] => [8,3,2,1,5,6,7,4]

[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8]

[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [2,3,8,1,4,5,6,7] => [8,2,3,1,4,5,6,7]

[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,2,7,6,8,5,4,3] => [2,3,8,7,1,4,5,6] => [7,2,3,1,4,5,8,6]

[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [2,3,7,8,1,4,5,6] => [8,2,3,1,4,5,7,6]

[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,2,5,8,7,6,4,3] => [2,3,6,1,4,5,7,8] => [6,2,3,1,4,5,7,8]

[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [2,3,7,6,1,4,5,8] => [6,2,3,1,4,7,5,8]

[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [2,3,6,7,1,4,5,8] => [7,2,3,1,4,6,5,8]

[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [2,3,8,7,6,1,4,5] => [6,2,3,1,4,7,8,5]

[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [2,3,6,8,7,1,4,5] => [7,2,3,1,4,6,8,5]

[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [2,3,7,6,8,1,4,5] => [8,2,3,1,4,7,6,5]

[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [2,3,6,7,8,1,4,5] => [8,2,3,1,4,6,7,5]

[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [2,3,5,1,4,6,7,8] => [5,2,3,1,4,6,7,8]

[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => [2,3,5,8,1,4,6,7] => [8,2,3,1,5,4,6,7]

[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [2,3,5,7,1,4,6,8] => [7,2,3,1,5,4,6,8]

[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,2,4,7,6,8,5,3] => [2,3,5,8,7,1,4,6] => [7,2,3,1,5,4,8,6]

[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [2,3,5,7,8,1,4,6] => [8,2,3,1,5,4,7,6]

[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,2,5,4,7,8,6,3] => [2,3,6,5,8,1,4,7] => [8,2,3,1,6,5,4,7]

[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [2,3,5,6,1,4,7,8] => [6,2,3,1,5,4,7,8]

[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [2,3,5,6,8,1,4,7] => [8,2,3,1,5,6,4,7]

[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [2,3,7,6,5,1,4,8] => [5,2,3,1,6,7,4,8]

[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,2,4,6,5,8,7,3] => [2,3,5,7,6,1,4,8] => [6,2,3,1,5,7,4,8]

[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [2,3,6,5,7,1,4,8] => [7,2,3,1,6,5,4,8]

[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [2,3,5,6,7,1,4,8] => [7,2,3,1,5,6,4,8]

[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [2,3,8,7,6,5,1,4] => [5,2,3,1,6,7,8,4]

[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [2,3,6,8,7,5,1,4] => [5,2,3,1,7,6,8,4]

[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [2,3,6,7,8,5,1,4] => [5,2,3,1,8,6,7,4]

[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [2,3,5,8,7,6,1,4] => [6,2,3,1,5,7,8,4]

[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [2,3,6,5,8,7,1,4] => [7,2,3,1,6,5,8,4]

[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [2,3,7,6,5,8,1,4] => [8,2,3,1,6,7,5,4]

[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => [2,3,6,7,5,8,1,4] => [8,2,3,1,7,6,5,4]

[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [1,2,4,6,5,7,8,3] => [2,3,5,7,6,8,1,4] => [8,2,3,1,5,7,6,4]

[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [2,3,6,5,7,8,1,4] => [8,2,3,1,6,5,7,4]

[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,3,5,6,7,8,1,4] => [8,2,3,1,5,6,7,4]

[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [4,3,2,1,5,6,7,8] => [2,3,4,1,5,6,7,8]

[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,2,8,1,5,6,7] => [8,3,4,2,1,5,6,7]

[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,2,7,1,5,6,8] => [7,3,4,2,1,5,6,8]

[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,2,8,7,1,5,6] => [7,3,4,2,1,5,8,6]

[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [4,3,2,7,8,1,5,6] => [8,3,4,2,1,5,7,6]

[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,2,6,1,5,7,8] => [6,3,4,2,1,5,7,8]

[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [4,3,2,6,8,1,5,7] => [8,3,4,2,1,6,5,7]

[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [4,3,2,7,6,1,5,8] => [6,3,4,2,1,7,5,8]

[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [4,3,2,6,7,1,5,8] => [7,3,4,2,1,6,5,8]

[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,2,8,7,6,1,5] => [6,3,4,2,1,7,8,5]

[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [4,3,2,7,8,6,1,5] => [6,3,4,2,1,8,7,5]

[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [4,3,2,6,8,7,1,5] => [7,3,4,2,1,6,8,5]

[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [4,3,2,7,6,8,1,5] => [8,3,4,2,1,7,6,5]

[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [4,3,2,6,7,8,1,5] => [8,3,4,2,1,6,7,5]

[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [3,4,2,1,5,6,7,8] => [2,4,3,1,5,6,7,8]

[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [2,3,1,7,8,6,5,4] => [3,4,2,8,1,5,6,7] => [8,4,3,2,1,5,6,7]

[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [3,4,2,7,1,5,6,8] => [7,4,3,2,1,5,6,8]

[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [3,4,2,8,7,1,5,6] => [7,4,3,2,1,5,8,6]

[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,4,2,7,8,1,5,6] => [8,4,3,2,1,5,7,6]

[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,4,2,6,8,1,5,7] => [8,4,3,2,1,6,5,7]

[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,4,2,7,6,1,5,8] => [6,4,3,2,1,7,5,8]

[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [3,4,2,8,7,6,1,5] => [6,4,3,2,1,7,8,5]

[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,4,2,7,8,6,1,5] => [6,4,3,2,1,8,7,5]

[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,4,2,6,8,7,1,5] => [7,4,3,2,1,6,8,5]

[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [3,4,2,6,7,8,1,5] => [8,4,3,2,1,6,7,5]

[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [2,4,3,1,5,6,7,8] => [3,2,4,1,5,6,7,8]

[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [2,4,3,7,1,5,6,8] => [7,2,4,3,1,5,6,8]

[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [2,4,3,8,7,1,5,6] => [7,2,4,3,1,5,8,6]

[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [2,4,3,7,8,1,5,6] => [8,2,4,3,1,5,7,6]

[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [2,4,3,6,1,5,7,8] => [6,2,4,3,1,5,7,8]

[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [2,4,3,6,8,1,5,7] => [8,2,4,3,1,6,5,7]

[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [2,4,3,6,7,1,5,8] => [7,2,4,3,1,6,5,8]

[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [2,4,3,8,7,6,1,5] => [6,2,4,3,1,7,8,5]

[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [2,4,3,7,8,6,1,5] => [6,2,4,3,1,8,7,5]

[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [2,4,3,6,8,7,1,5] => [7,2,4,3,1,6,8,5]

[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [2,4,3,7,6,8,1,5] => [8,2,4,3,1,7,6,5]

[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,4,3,6,7,8,1,5] => [8,2,4,3,1,6,7,5]

[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [3,2,4,1,5,6,7,8] => [4,3,2,1,5,6,7,8]

[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [3,2,4,8,1,5,6,7] => [8,3,2,4,1,5,6,7]

[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [3,2,4,7,1,5,6,8] => [7,3,2,4,1,5,6,8]

[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => [3,2,4,7,8,1,5,6] => [8,3,2,4,1,5,7,6]

[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,4,7,6,1,5,8] => [6,3,2,4,1,7,5,8]

[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [2,1,3,5,7,6,8,4] => [3,2,4,6,8,7,1,5] => [7,3,2,4,1,6,8,5]

[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [3,2,4,6,7,8,1,5] => [8,3,2,4,1,6,7,5]

[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [2,3,4,1,5,6,7,8] => [4,2,3,1,5,6,7,8]

[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [2,3,4,8,1,5,6,7] => [8,2,3,4,1,5,6,7]

[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [2,3,4,7,1,5,6,8] => [7,2,3,4,1,5,6,8]

[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [2,3,4,8,7,1,5,6] => [7,2,3,4,1,5,8,6]

[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [2,3,4,7,8,1,5,6] => [8,2,3,4,1,5,7,6]

[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [2,3,4,6,1,5,7,8] => [6,2,3,4,1,5,7,8]

[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [2,3,4,6,8,1,5,7] => [8,2,3,4,1,6,5,7]

[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [2,3,4,7,6,1,5,8] => [6,2,3,4,1,7,5,8]

[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [2,3,4,6,7,1,5,8] => [7,2,3,4,1,6,5,8]

[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [2,3,4,8,7,6,1,5] => [6,2,3,4,1,7,8,5]

[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [2,3,4,7,8,6,1,5] => [6,2,3,4,1,8,7,5]

[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [2,3,4,6,8,7,1,5] => [7,2,3,4,1,6,8,5]

[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [2,3,4,7,6,8,1,5] => [8,2,3,4,1,7,6,5]

[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,3,4,6,7,8,1,5] => [8,2,3,4,1,6,7,5]

[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [5,4,3,2,1,6,7,8] => [2,3,4,5,1,6,7,8]

[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [5,4,3,2,8,1,6,7] => [8,3,4,5,2,1,6,7]

[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [5,4,3,2,7,1,6,8] => [7,3,4,5,2,1,6,8]

[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [5,4,3,2,8,7,1,6] => [7,3,4,5,2,1,8,6]

[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [5,4,3,2,7,8,1,6] => [8,3,4,5,2,1,7,6]

[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,5,3,2,1,6,7,8] => [2,3,5,4,1,6,7,8]

[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [4,5,3,2,8,1,6,7] => [8,3,5,4,2,1,6,7]

[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [4,5,3,2,7,1,6,8] => [7,3,5,4,2,1,6,8]

[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [4,5,3,2,8,7,1,6] => [7,3,5,4,2,1,8,6]

[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [4,5,3,2,7,8,1,6] => [8,3,5,4,2,1,7,6]

[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [3,5,4,2,1,6,7,8] => [2,4,3,5,1,6,7,8]

[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,5,4,2,8,1,6,7] => [8,4,3,5,2,1,6,7]

[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,5,4,2,7,1,6,8] => [7,4,3,5,2,1,6,8]

[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,5,4,2,8,7,1,6] => [7,4,3,5,2,1,8,6]

[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,5,4,2,7,8,1,6] => [8,4,3,5,2,1,7,6]

[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,5,2,1,6,7,8] => [2,5,4,3,1,6,7,8]

[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [4,3,5,2,8,1,6,7] => [8,5,4,3,2,1,6,7]

[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [4,3,5,2,7,1,6,8] => [7,5,4,3,2,1,6,8]

[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [4,3,5,2,8,7,1,6] => [7,5,4,3,2,1,8,6]

[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [4,3,5,2,7,8,1,6] => [8,5,4,3,2,1,7,6]

[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [3,4,5,2,1,6,7,8] => [2,5,3,4,1,6,7,8]

[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,4,5,2,8,1,6,7] => [8,5,3,4,2,1,6,7]

[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,4,5,2,7,1,6,8] => [7,5,3,4,2,1,6,8]

[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [3,4,5,2,8,7,1,6] => [7,5,3,4,2,1,8,6]

[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [3,4,5,2,7,8,1,6] => [8,5,3,4,2,1,7,6]

[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [2,5,4,3,1,6,7,8] => [3,2,4,5,1,6,7,8]

[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [2,5,4,3,8,7,1,6] => [7,2,4,5,3,1,8,6]

[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [2,5,4,3,7,8,1,6] => [8,2,4,5,3,1,7,6]

[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [2,4,5,3,1,6,7,8] => [3,2,5,4,1,6,7,8]

[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [2,4,5,3,8,1,6,7] => [8,2,5,4,3,1,6,7]

[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [2,4,5,3,7,1,6,8] => [7,2,5,4,3,1,6,8]

[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [2,4,5,3,8,7,1,6] => [7,2,5,4,3,1,8,6]

[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,4,5,3,7,8,1,6] => [8,2,5,4,3,1,7,6]

[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [3,2,5,4,1,6,7,8] => [4,3,2,5,1,6,7,8]

[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,5,4,8,1,6,7] => [8,3,2,5,4,1,6,7]

[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,5,4,7,1,6,8] => [7,3,2,5,4,1,6,8]

[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,5,4,8,7,1,6] => [7,3,2,5,4,1,8,6]

[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [3,2,5,4,7,8,1,6] => [8,3,2,5,4,1,7,6]

[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [2,3,5,4,1,6,7,8] => [4,2,3,5,1,6,7,8]

[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [2,3,5,4,8,1,6,7] => [8,2,3,5,4,1,6,7]

[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [2,3,5,4,8,7,1,6] => [7,2,3,5,4,1,8,6]

[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,3,5,4,7,8,1,6] => [8,2,3,5,4,1,7,6]

[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,2,5,1,6,7,8] => [5,3,4,2,1,6,7,8]

[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [4,3,2,5,8,1,6,7] => [8,3,4,2,5,1,6,7]

[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [4,3,2,5,7,1,6,8] => [7,3,4,2,5,1,6,8]

[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [4,3,2,5,8,7,1,6] => [7,3,4,2,5,1,8,6]

[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [4,3,2,5,7,8,1,6] => [8,3,4,2,5,1,7,6]

[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [3,4,2,5,1,6,7,8] => [5,4,3,2,1,6,7,8]

[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,4,2,5,8,1,6,7] => [8,4,3,2,5,1,6,7]

[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,4,2,5,8,7,1,6] => [7,4,3,2,5,1,8,6]

[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [3,4,2,5,7,8,1,6] => [8,4,3,2,5,1,7,6]

[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [2,4,3,5,1,6,7,8] => [5,2,4,3,1,6,7,8]

[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [2,4,3,5,8,7,1,6] => [7,2,4,3,5,1,8,6]

[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,4,3,5,7,8,1,6] => [8,2,4,3,5,1,7,6]

[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [3,2,4,5,1,6,7,8] => [5,3,2,4,1,6,7,8]

[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,4,5,8,1,6,7] => [8,3,2,4,5,1,6,7]

[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,4,5,8,7,1,6] => [7,3,2,4,5,1,8,6]

[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [3,2,4,5,7,8,1,6] => [8,3,2,4,5,1,7,6]

[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [2,3,4,5,1,6,7,8] => [5,2,3,4,1,6,7,8]

[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [2,3,4,5,8,1,6,7] => [8,2,3,4,5,1,6,7]

[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [2,3,4,5,7,1,6,8] => [7,2,3,4,5,1,6,8]

[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [2,3,4,5,8,7,1,6] => [7,2,3,4,5,1,8,6]

[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,3,4,5,7,8,1,6] => [8,2,3,4,5,1,7,6]

[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [6,5,4,3,2,1,7,8] => [2,3,4,5,6,1,7,8]

[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [6,5,4,3,2,8,1,7] => [8,3,4,5,6,2,1,7]

[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [5,6,4,3,2,1,7,8] => [2,3,4,6,5,1,7,8]

[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,6,5,3,2,8,1,7] => [8,3,5,4,6,2,1,7]

[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [5,4,6,3,2,1,7,8] => [2,3,6,5,4,1,7,8]

[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [4,5,6,3,2,1,7,8] => [2,3,6,4,5,1,7,8]

[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [4,5,6,3,2,8,1,7] => [8,3,6,4,5,2,1,7]

[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [3,6,5,4,2,1,7,8] => [2,4,3,5,6,1,7,8]

[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [3,6,5,4,2,8,1,7] => [8,4,3,5,6,2,1,7]

[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,5,6,4,2,1,7,8] => [2,4,3,6,5,1,7,8]

[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,5,6,4,2,8,1,7] => [8,4,3,6,5,2,1,7]

[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [4,3,6,5,2,1,7,8] => [2,5,4,3,6,1,7,8]

[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [4,3,6,5,2,8,1,7] => [8,5,4,3,6,2,1,7]

[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [5,4,3,6,2,1,7,8] => [2,6,4,5,3,1,7,8]

[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [5,4,3,6,2,8,1,7] => [8,6,4,5,3,2,1,7]

[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [4,5,3,6,2,1,7,8] => [2,6,5,4,3,1,7,8]

[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [4,5,3,6,2,8,1,7] => [8,6,5,4,3,2,1,7]

[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,5,4,6,2,1,7,8] => [2,6,3,5,4,1,7,8]

[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,5,4,6,2,8,1,7] => [8,6,3,5,4,2,1,7]

[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [4,3,5,6,2,1,7,8] => [2,6,4,3,5,1,7,8]

[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [3,4,5,6,2,1,7,8] => [2,6,3,4,5,1,7,8]

[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [3,4,5,6,2,8,1,7] => [8,6,3,4,5,2,1,7]

[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [2,6,5,4,3,8,1,7] => [8,2,4,5,6,3,1,7]

[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [2,5,6,4,3,8,1,7] => [8,2,4,6,5,3,1,7]

[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [2,4,6,5,3,8,1,7] => [8,2,5,4,6,3,1,7]

[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [2,5,4,6,3,1,7,8] => [3,2,6,5,4,1,7,8]

[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [2,4,5,6,3,1,7,8] => [3,2,6,4,5,1,7,8]

[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,4,5,6,3,8,1,7] => [8,2,6,4,5,3,1,7]

[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [2,3,6,5,4,1,7,8] => [4,2,3,5,6,1,7,8]

[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [2,3,6,5,4,8,1,7] => [8,2,3,5,6,4,1,7]

[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [2,3,5,6,4,1,7,8] => [4,2,3,6,5,1,7,8]

[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [2,4,3,6,5,1,7,8] => [5,2,4,3,6,1,7,8]

[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,4,3,6,5,8,1,7] => [8,2,4,3,6,5,1,7]

[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [3,2,4,6,5,8,1,7] => [8,3,2,4,6,5,1,7]

[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [2,3,4,6,5,1,7,8] => [5,2,3,4,6,1,7,8]

[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,3,4,6,5,8,1,7] => [8,2,3,4,6,5,1,7]

[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [5,4,3,2,6,1,7,8] => [6,3,4,5,2,1,7,8]

[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [5,4,3,2,6,8,1,7] => [8,3,4,5,2,6,1,7]

[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [3,4,2,1,5,8,7,6] => [4,5,3,2,6,1,7,8] => [6,3,5,4,2,1,7,8]

[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,5,4,2,6,1,7,8] => [6,4,3,5,2,1,7,8]

[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [4,3,5,2,6,1,7,8] => [6,5,4,3,2,1,7,8]

[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [4,3,5,2,6,8,1,7] => [8,5,4,3,2,6,1,7]

[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [3,4,5,2,6,1,7,8] => [6,5,3,4,2,1,7,8]

[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [3,4,5,2,6,8,1,7] => [8,5,3,4,2,6,1,7]

[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [2,5,4,3,6,1,7,8] => [6,2,4,5,3,1,7,8]

[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [2,5,4,3,6,8,1,7] => [8,2,4,5,3,6,1,7]

[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,4,5,3,6,8,1,7] => [8,2,5,4,3,6,1,7]

[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,5,4,6,1,7,8] => [6,3,2,5,4,1,7,8]

[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [3,2,5,4,6,8,1,7] => [8,3,2,5,4,6,1,7]

[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [2,3,5,4,6,1,7,8] => [6,2,3,5,4,1,7,8]

[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [4,3,2,5,6,1,7,8] => [6,3,4,2,5,1,7,8]

[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [4,3,2,5,6,8,1,7] => [8,3,4,2,5,6,1,7]

[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [3,4,2,5,6,8,1,7] => [8,4,3,2,5,6,1,7]

[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [2,4,3,5,6,1,7,8] => [6,2,4,3,5,1,7,8]

[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,4,3,5,6,8,1,7] => [8,2,4,3,5,6,1,7]

[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,4,5,6,1,7,8] => [6,3,2,4,5,1,7,8]

[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [3,2,4,5,6,8,1,7] => [8,3,2,4,5,6,1,7]

[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [2,3,4,5,6,1,7,8] => [6,2,3,4,5,1,7,8]

[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,3,4,5,6,8,1,7] => [8,2,3,4,5,6,1,7]

[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,1,8]

[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [6,7,5,4,3,2,1,8] => [2,3,4,5,7,6,1,8]

[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,7,6,4,3,2,1,8] => [2,3,4,6,5,7,1,8]

[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [6,5,7,4,3,2,1,8] => [2,3,4,7,6,5,1,8]

[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [5,6,7,4,3,2,1,8] => [2,3,4,7,5,6,1,8]

[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [4,7,6,5,3,2,1,8] => [2,3,5,4,6,7,1,8]

[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [4,6,7,5,3,2,1,8] => [2,3,5,4,7,6,1,8]

[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [5,4,7,6,3,2,1,8] => [2,3,6,5,4,7,1,8]

[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [4,5,7,6,3,2,1,8] => [2,3,6,4,5,7,1,8]

[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [6,5,4,7,3,2,1,8] => [2,3,7,5,6,4,1,8]

[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [5,6,4,7,3,2,1,8] => [2,3,7,6,5,4,1,8]

[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [5,4,6,7,3,2,1,8] => [2,3,7,5,4,6,1,8]

[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7] => [4,5,6,7,3,2,1,8] => [2,3,7,4,5,6,1,8]

[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [3,7,6,5,4,2,1,8] => [2,4,3,5,6,7,1,8]

[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [3,5,7,6,4,2,1,8] => [2,4,3,6,5,7,1,8]

[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,3,7,6,5,2,1,8] => [2,5,4,3,6,7,1,8]

[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [3,4,7,6,5,2,1,8] => [2,5,3,4,6,7,1,8]

[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [5,4,3,7,6,2,1,8] => [2,6,4,5,3,7,1,8]

[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [4,5,3,7,6,2,1,8] => [2,6,5,4,3,7,1,8]

[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,5,4,7,6,2,1,8] => [2,6,3,5,4,7,1,8]

[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [6,5,4,3,7,2,1,8] => [2,7,4,5,6,3,1,8]

[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7] => [5,6,4,3,7,2,1,8] => [2,7,4,6,5,3,1,8]

[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [4,6,5,3,7,2,1,8] => [2,7,5,4,6,3,1,8]

[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [5,4,6,3,7,2,1,8] => [2,7,6,5,4,3,1,8]

[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [4,5,6,3,7,2,1,8] => [2,7,6,4,5,3,1,8]

[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [3,6,5,4,7,2,1,8] => [2,7,3,5,6,4,1,8]

[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [3,5,6,4,7,2,1,8] => [2,7,3,6,5,4,1,8]

[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [4,3,6,5,7,2,1,8] => [2,7,4,3,6,5,1,8]

[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [5,4,3,6,7,2,1,8] => [2,7,4,5,3,6,1,8]

[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [4,5,3,6,7,2,1,8] => [2,7,5,4,3,6,1,8]

[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [3,4,5,6,7,2,1,8] => [2,7,3,4,5,6,1,8]

[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [2,7,6,5,4,3,1,8] => [3,2,4,5,6,7,1,8]

[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [2,6,7,5,4,3,1,8] => [3,2,4,5,7,6,1,8]

[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [2,6,5,7,4,3,1,8] => [3,2,4,7,6,5,1,8]

[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [2,4,7,6,5,3,1,8] => [3,2,5,4,6,7,1,8]

[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,4,5,6,7,3,1,8] => [3,2,7,4,5,6,1,8]

[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [3,2,7,6,5,4,1,8] => [4,3,2,5,6,7,1,8]

[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,6,7,5,4,1,8] => [4,3,2,5,7,6,1,8]

[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,5,7,6,4,1,8] => [4,3,2,6,5,7,1,8]

[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,6,5,7,4,1,8] => [4,3,2,7,6,5,1,8]

[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [3,2,5,6,7,4,1,8] => [4,3,2,7,5,6,1,8]

[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,3,5,6,7,4,1,8] => [4,2,3,7,5,6,1,8]

[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => [4,3,2,7,6,5,1,8] => [5,3,4,2,6,7,1,8]

[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,4,2,7,6,5,1,8] => [5,4,3,2,6,7,1,8]

[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [2,4,3,7,6,5,1,8] => [5,2,4,3,6,7,1,8]

[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [2,1,3,6,5,4,8,7] => [3,2,4,7,6,5,1,8] => [5,3,2,4,6,7,1,8]

[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [3,2,4,6,7,5,1,8] => [5,3,2,4,7,6,1,8]

[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [2,3,4,7,6,5,1,8] => [5,2,3,4,6,7,1,8]

[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,3,4,6,7,5,1,8] => [5,2,3,4,7,6,1,8]

[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [5,4,3,2,7,6,1,8] => [6,3,4,5,2,7,1,8]

[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [4,5,3,2,7,6,1,8] => [6,3,5,4,2,7,1,8]

[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,5,4,2,7,6,1,8] => [6,4,3,5,2,7,1,8]

[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [4,3,5,2,7,6,1,8] => [6,5,4,3,2,7,1,8]

[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [3,4,5,2,7,6,1,8] => [6,5,3,4,2,7,1,8]

[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [3,2,5,4,7,6,1,8] => [6,3,2,5,4,7,1,8]

[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,3,5,4,7,6,1,8] => [6,2,3,5,4,7,1,8]

[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [3,4,2,5,7,6,1,8] => [6,4,3,2,5,7,1,8]

[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,4,3,5,7,6,1,8] => [6,2,4,3,5,7,1,8]

[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [3,2,4,5,7,6,1,8] => [6,3,2,4,5,7,1,8]

[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,3,4,5,7,6,1,8] => [6,2,3,4,5,7,1,8]

[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [6,5,4,3,2,7,1,8] => [7,3,4,5,6,2,1,8]

[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [5,6,4,3,2,7,1,8] => [7,3,4,6,5,2,1,8]

[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [5,4,6,3,2,7,1,8] => [7,3,6,5,4,2,1,8]

[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [3,6,5,4,2,7,1,8] => [7,4,3,5,6,2,1,8]

[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [3,5,6,4,2,7,1,8] => [7,4,3,6,5,2,1,8]

[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [4,3,6,5,2,7,1,8] => [7,5,4,3,6,2,1,8]

[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [3,4,6,5,2,7,1,8] => [7,5,3,4,6,2,1,8]

[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [3,5,4,6,2,7,1,8] => [7,6,3,5,4,2,1,8]

[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [3,4,5,6,2,7,1,8] => [7,6,3,4,5,2,1,8]

[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [2,4,6,5,3,7,1,8] => [7,2,5,4,6,3,1,8]

[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,4,5,6,3,7,1,8] => [7,2,6,4,5,3,1,8]

[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => [3,2,6,5,4,7,1,8] => [7,3,2,5,6,4,1,8]

[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [3,2,4,6,5,7,1,8] => [7,3,2,4,6,5,1,8]

[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,3,4,6,5,7,1,8] => [7,2,3,4,6,5,1,8]

[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [5,4,3,2,6,7,1,8] => [7,3,4,5,2,6,1,8]

[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [3,4,2,1,5,6,8,7] => [4,5,3,2,6,7,1,8] => [7,3,5,4,2,6,1,8]

[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [4,3,5,2,6,7,1,8] => [7,5,4,3,2,6,1,8]

[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [3,4,5,2,6,7,1,8] => [7,5,3,4,2,6,1,8]

[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [2,5,4,3,6,7,1,8] => [7,2,4,5,3,6,1,8]

[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,4,5,3,6,7,1,8] => [7,2,5,4,3,6,1,8]

[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [3,2,5,4,6,7,1,8] => [7,3,2,5,4,6,1,8]

[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,3,5,4,6,7,1,8] => [7,2,3,5,4,6,1,8]

[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [4,3,2,5,6,7,1,8] => [7,3,4,2,5,6,1,8]

[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [3,4,2,5,6,7,1,8] => [7,4,3,2,5,6,1,8]

[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,4,3,5,6,7,1,8] => [7,2,4,3,5,6,1,8]

[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [3,2,4,5,6,7,1,8] => [7,3,2,4,5,6,1,8]

[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,7,1,8] => [7,2,3,4,5,6,1,8]

[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1]

[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [7,8,6,5,4,3,2,1] => [2,3,4,5,6,8,7,1]

[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [6,8,7,5,4,3,2,1] => [2,3,4,5,7,6,8,1]

[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [7,6,8,5,4,3,2,1] => [2,3,4,5,8,7,6,1]

[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [6,7,8,5,4,3,2,1] => [2,3,4,5,8,6,7,1]

[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [5,8,7,6,4,3,2,1] => [2,3,4,6,5,7,8,1]

[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => [5,7,8,6,4,3,2,1] => [2,3,4,6,5,8,7,1]

[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [6,5,8,7,4,3,2,1] => [2,3,4,7,6,5,8,1]

[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [5,6,8,7,4,3,2,1] => [2,3,4,7,5,6,8,1]

[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [7,6,5,8,4,3,2,1] => [2,3,4,8,6,7,5,1]

[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [6,7,5,8,4,3,2,1] => [2,3,4,8,7,6,5,1]

[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [5,7,6,8,4,3,2,1] => [2,3,4,8,5,7,6,1]

[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [6,5,7,8,4,3,2,1] => [2,3,4,8,6,5,7,1]

[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [5,6,7,8,4,3,2,1] => [2,3,4,8,5,6,7,1]

[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [4,6,8,7,5,3,2,1] => [2,3,5,4,7,6,8,1]

[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [3,5,6,7,4,2,1,8] => [4,6,7,8,5,3,2,1] => [2,3,5,4,8,6,7,1]

[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [5,4,8,7,6,3,2,1] => [2,3,6,5,4,7,8,1]

[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [4,5,8,7,6,3,2,1] => [2,3,6,4,5,7,8,1]

[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [6,5,4,8,7,3,2,1] => [2,3,7,5,6,4,8,1]

[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [4,5,3,7,6,2,1,8] => [5,6,4,8,7,3,2,1] => [2,3,7,6,5,4,8,1]

[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [4,6,5,8,7,3,2,1] => [2,3,7,4,6,5,8,1]

[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [4,3,5,7,6,2,1,8] => [5,4,6,8,7,3,2,1] => [2,3,7,5,4,6,8,1]

[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [7,6,5,4,8,3,2,1] => [2,3,8,5,6,7,4,1]

[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [6,7,5,4,8,3,2,1] => [2,3,8,5,7,6,4,1]

[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [6,5,7,4,8,3,2,1] => [2,3,8,7,6,5,4,1]

[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => [4,7,6,5,8,3,2,1] => [2,3,8,4,6,7,5,1]

[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8] => [4,6,7,5,8,3,2,1] => [2,3,8,4,7,6,5,1]

[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => [5,4,7,6,8,3,2,1] => [2,3,8,5,4,7,6,1]

[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [6,5,4,7,8,3,2,1] => [2,3,8,5,6,4,7,1]

[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [4,5,6,7,8,3,2,1] => [2,3,8,4,5,6,7,1]

[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [3,8,7,6,5,4,2,1] => [2,4,3,5,6,7,8,1]

[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [3,7,8,6,5,4,2,1] => [2,4,3,5,6,8,7,1]

[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [3,6,8,7,5,4,2,1] => [2,4,3,5,7,6,8,1]

[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [2,5,6,7,4,3,1,8] => [3,6,7,8,5,4,2,1] => [2,4,3,5,8,6,7,1]

[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [3,5,7,8,6,4,2,1] => [2,4,3,6,5,8,7,1]

[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [3,6,5,8,7,4,2,1] => [2,4,3,7,6,5,8,1]

[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [3,6,7,5,8,4,2,1] => [2,4,3,8,7,6,5,1]

[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [3,6,5,7,8,4,2,1] => [2,4,3,8,6,5,7,1]

[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [3,5,6,7,8,4,2,1] => [2,4,3,8,5,6,7,1]

[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [4,3,8,7,6,5,2,1] => [2,5,4,3,6,7,8,1]

[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [4,3,7,8,6,5,2,1] => [2,5,4,3,6,8,7,1]

[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,3,6,8,7,5,2,1] => [2,5,4,3,7,6,8,1]

[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [4,3,7,6,8,5,2,1] => [2,5,4,3,8,7,6,1]

[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [4,3,6,7,8,5,2,1] => [2,5,4,3,8,6,7,1]

[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [3,4,8,7,6,5,2,1] => [2,5,3,4,6,7,8,1]

[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [3,4,7,8,6,5,2,1] => [2,5,3,4,6,8,7,1]

[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [3,4,6,8,7,5,2,1] => [2,5,3,4,7,6,8,1]

[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [3,4,7,6,8,5,2,1] => [2,5,3,4,8,7,6,1]

[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [3,4,6,7,8,5,2,1] => [2,5,3,4,8,6,7,1]

[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [5,4,3,7,8,6,2,1] => [2,6,4,5,3,8,7,1]

[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [4,5,3,8,7,6,2,1] => [2,6,5,4,3,7,8,1]

[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [4,5,3,7,8,6,2,1] => [2,6,5,4,3,8,7,1]

[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [4,3,5,7,8,6,2,1] => [2,6,4,3,5,8,7,1]

[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [3,4,5,8,7,6,2,1] => [2,6,3,4,5,7,8,1]

[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [3,4,5,7,8,6,2,1] => [2,6,3,4,5,8,7,1]

[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [6,5,4,3,8,7,2,1] => [2,7,4,5,6,3,8,1]

[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [5,6,4,3,8,7,2,1] => [2,7,4,6,5,3,8,1]

[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [4,6,5,3,8,7,2,1] => [2,7,5,4,6,3,8,1]

[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [5,4,6,3,8,7,2,1] => [2,7,6,5,4,3,8,1]

[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => [4,5,6,3,8,7,2,1] => [2,7,6,4,5,3,8,1]

[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [4,3,6,5,8,7,2,1] => [2,7,4,3,6,5,8,1]

[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [5,4,3,6,8,7,2,1] => [2,7,4,5,3,6,8,1]

[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [4,5,3,6,8,7,2,1] => [2,7,5,4,3,6,8,1]

[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [3,4,5,6,8,7,2,1] => [2,7,3,4,5,6,8,1]

[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [7,6,5,4,3,8,2,1] => [2,8,4,5,6,7,3,1]

[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [6,7,5,4,3,8,2,1] => [2,8,4,5,7,6,3,1]

[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [6,5,7,4,3,8,2,1] => [2,8,4,7,6,5,3,1]

[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [3,6,5,4,2,7,1,8] => [4,7,6,5,3,8,2,1] => [2,8,5,4,6,7,3,1]

[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [4,6,7,5,3,8,2,1] => [2,8,5,4,7,6,3,1]

[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [3,4,6,5,2,7,1,8] => [4,5,7,6,3,8,2,1] => [2,8,6,4,5,7,3,1]

[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [6,5,4,7,3,8,2,1] => [2,8,7,5,6,4,3,1]

[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [5,6,4,7,3,8,2,1] => [2,8,7,6,5,4,3,1]

[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [4,6,5,7,3,8,2,1] => [2,8,7,4,6,5,3,1]

[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [5,4,6,7,3,8,2,1] => [2,8,7,5,4,6,3,1]

[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [4,5,6,7,3,8,2,1] => [2,8,7,4,5,6,3,1]

[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [3,6,5,7,4,8,2,1] => [2,8,3,7,6,5,4,1]

[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [2,4,5,6,3,7,1,8] => [3,5,6,7,4,8,2,1] => [2,8,3,7,5,6,4,1]

[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [4,3,7,6,5,8,2,1] => [2,8,4,3,6,7,5,1]

[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [3,4,6,7,5,8,2,1] => [2,8,3,4,7,6,5,1]

[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => [5,4,3,7,6,8,2,1] => [2,8,4,5,3,7,6,1]

[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [4,5,3,7,6,8,2,1] => [2,8,5,4,3,7,6,1]

[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [3,5,4,7,6,8,2,1] => [2,8,3,5,4,7,6,1]

[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [3,4,5,7,6,8,2,1] => [2,8,3,4,5,7,6,1]

[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [6,5,4,3,7,8,2,1] => [2,8,4,5,6,3,7,1]

[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8] => [4,6,5,3,7,8,2,1] => [2,8,5,4,6,3,7,1]

[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [4,5,6,3,7,8,2,1] => [2,8,6,4,5,3,7,1]

[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => [3,6,5,4,7,8,2,1] => [2,8,3,5,6,4,7,1]

[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [2,4,5,3,6,7,1,8] => [3,5,6,4,7,8,2,1] => [2,8,3,6,5,4,7,1]

[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [3,4,6,5,7,8,2,1] => [2,8,3,4,6,5,7,1]

[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [5,4,3,6,7,8,2,1] => [2,8,4,5,3,6,7,1]

[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [4,5,3,6,7,8,2,1] => [2,8,5,4,3,6,7,1]

[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [2,4,3,5,6,7,1,8] => [3,5,4,6,7,8,2,1] => [2,8,3,5,4,6,7,1]

[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [4,3,5,6,7,8,2,1] => [2,8,4,3,5,6,7,1]

[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [3,4,5,6,7,8,2,1] => [2,8,3,4,5,6,7,1]

[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [2,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,1]

[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [2,7,8,6,5,4,3,1] => [3,2,4,5,6,8,7,1]

[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [2,7,6,8,5,4,3,1] => [3,2,4,5,8,7,6,1]

[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => [2,6,7,8,5,4,3,1] => [3,2,4,5,8,6,7,1]

[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [2,5,8,7,6,4,3,1] => [3,2,4,6,5,7,8,1]

[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [2,5,7,8,6,4,3,1] => [3,2,4,6,5,8,7,1]

[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [2,6,5,8,7,4,3,1] => [3,2,4,7,6,5,8,1]

[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8] => [2,6,7,5,8,4,3,1] => [3,2,4,8,7,6,5,1]

[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [2,5,7,6,8,4,3,1] => [3,2,4,8,5,7,6,1]

[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [2,6,5,7,8,4,3,1] => [3,2,4,8,6,5,7,1]

[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8] => [2,5,6,7,8,4,3,1] => [3,2,4,8,5,6,7,1]

[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [2,4,8,7,6,5,3,1] => [3,2,5,4,6,7,8,1]

[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [2,4,7,8,6,5,3,1] => [3,2,5,4,6,8,7,1]

[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [2,4,6,8,7,5,3,1] => [3,2,5,4,7,6,8,1]

[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [2,4,6,7,8,5,3,1] => [3,2,5,4,8,6,7,1]

[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [2,4,5,7,8,6,3,1] => [3,2,6,4,5,8,7,1]

[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [2,4,6,5,8,7,3,1] => [3,2,7,4,6,5,8,1]

[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [2,4,5,6,8,7,3,1] => [3,2,7,4,5,6,8,1]

[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [2,6,5,7,4,8,3,1] => [3,2,8,7,6,5,4,1]

[[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,4,5,6,3,7,2,8] => [2,5,6,7,4,8,3,1] => [3,2,8,7,5,6,4,1]

[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [2,4,7,6,5,8,3,1] => [3,2,8,4,6,7,5,1]

[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [2,4,6,7,5,8,3,1] => [3,2,8,4,7,6,5,1]

[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [2,5,4,7,6,8,3,1] => [3,2,8,5,4,7,6,1]

[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8] => [2,6,5,4,7,8,3,1] => [3,2,8,5,6,4,7,1]

[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [2,5,6,4,7,8,3,1] => [3,2,8,6,5,4,7,1]

[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,3,5,4,6,7,2,8] => [2,4,6,5,7,8,3,1] => [3,2,8,4,6,5,7,1]

[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [1,4,3,5,6,7,2,8] => [2,5,4,6,7,8,3,1] => [3,2,8,5,4,6,7,1]

[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [2,4,5,6,7,8,3,1] => [3,2,8,4,5,6,7,1]

[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [3,2,8,7,6,5,4,1] => [4,3,2,5,6,7,8,1]

[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [3,2,7,8,6,5,4,1] => [4,3,2,5,6,8,7,1]

[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,5,7,8,6,4,1] => [4,3,2,6,5,8,7,1]

[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [2,1,5,4,6,7,3,8] => [3,2,6,5,7,8,4,1] => [4,3,2,8,6,5,7,1]

[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [3,2,5,6,7,8,4,1] => [4,3,2,8,5,6,7,1]

[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [2,3,8,7,6,5,4,1] => [4,2,3,5,6,7,8,1]

[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [2,3,7,8,6,5,4,1] => [4,2,3,5,6,8,7,1]

[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [2,3,6,8,7,5,4,1] => [4,2,3,5,7,6,8,1]

[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [2,3,6,7,8,5,4,1] => [4,2,3,5,8,6,7,1]

[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [2,3,5,7,8,6,4,1] => [4,2,3,6,5,8,7,1]

[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [2,3,6,7,5,8,4,1] => [4,2,3,8,7,6,5,1]

[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,2,4,6,5,7,3,8] => [2,3,5,7,6,8,4,1] => [4,2,3,8,5,7,6,1]

[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [2,3,6,5,7,8,4,1] => [4,2,3,8,6,5,7,1]

[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [2,3,5,6,7,8,4,1] => [4,2,3,8,5,6,7,1]

[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,2,8,7,6,5,1] => [5,3,4,2,6,7,8,1]

[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [4,3,2,7,8,6,5,1] => [5,3,4,2,6,8,7,1]

[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [4,3,2,6,8,7,5,1] => [5,3,4,2,7,6,8,1]

[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [4,3,2,6,7,8,5,1] => [5,3,4,2,8,6,7,1]

[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,4,2,7,8,6,5,1] => [5,4,3,2,6,8,7,1]

[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,4,2,7,6,8,5,1] => [5,4,3,2,8,7,6,1]

[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [3,4,2,6,7,8,5,1] => [5,4,3,2,8,6,7,1]

[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [2,4,3,8,7,6,5,1] => [5,2,4,3,6,7,8,1]

[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [2,4,3,7,8,6,5,1] => [5,2,4,3,6,8,7,1]

[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [2,4,3,6,8,7,5,1] => [5,2,4,3,7,6,8,1]

[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [2,4,3,7,6,8,5,1] => [5,2,4,3,8,7,6,1]

[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,4,3,6,7,8,5,1] => [5,2,4,3,8,6,7,1]

[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [3,2,4,7,8,6,5,1] => [5,3,2,4,6,8,7,1]

[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [2,3,4,8,7,6,5,1] => [5,2,3,4,6,7,8,1]

[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [2,3,4,7,8,6,5,1] => [5,2,3,4,6,8,7,1]

[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [2,3,4,6,8,7,5,1] => [5,2,3,4,7,6,8,1]

[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [2,3,4,7,6,8,5,1] => [5,2,3,4,8,7,6,1]

[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,3,4,6,7,8,5,1] => [5,2,3,4,8,6,7,1]

[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [5,4,3,2,8,7,6,1] => [6,3,4,5,2,7,8,1]

[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [5,4,3,2,7,8,6,1] => [6,3,4,5,2,8,7,1]

[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [4,3,5,2,8,7,6,1] => [6,5,4,3,2,7,8,1]

[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [3,4,5,2,8,7,6,1] => [6,5,3,4,2,7,8,1]

[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [3,4,5,2,7,8,6,1] => [6,5,3,4,2,8,7,1]

[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [2,5,4,3,8,7,6,1] => [6,2,4,5,3,7,8,1]

[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [2,5,4,3,7,8,6,1] => [6,2,4,5,3,8,7,1]

[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,4,5,3,7,8,6,1] => [6,2,5,4,3,8,7,1]

[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [2,1,4,3,6,7,5,8] => [3,2,5,4,7,8,6,1] => [6,3,2,5,4,8,7,1]

[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,3,5,4,7,8,6,1] => [6,2,3,5,4,8,7,1]

[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [4,3,2,5,8,7,6,1] => [6,3,4,2,5,7,8,1]

[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [3,4,2,5,7,8,6,1] => [6,4,3,2,5,8,7,1]

[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [2,4,3,5,8,7,6,1] => [6,2,4,3,5,7,8,1]

[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,3,2,4,6,7,5,8] => [2,4,3,5,7,8,6,1] => [6,2,4,3,5,8,7,1]

[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [2,1,3,4,6,7,5,8] => [3,2,4,5,7,8,6,1] => [6,3,2,4,5,8,7,1]

[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [2,3,4,5,8,7,6,1] => [6,2,3,4,5,7,8,1]

[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [2,3,4,5,7,8,6,1] => [6,2,3,4,5,8,7,1]

[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [6,5,4,3,2,8,7,1] => [7,3,4,5,6,2,8,1]

[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [5,6,4,3,2,8,7,1] => [7,3,4,6,5,2,8,1]

[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [4,6,5,3,2,8,7,1] => [7,3,5,4,6,2,8,1]

[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [4,5,6,3,2,8,7,1] => [7,3,6,4,5,2,8,1]

[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [3,6,5,4,2,8,7,1] => [7,4,3,5,6,2,8,1]

[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,5,6,4,2,8,7,1] => [7,4,3,6,5,2,8,1]

[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [4,3,6,5,2,8,7,1] => [7,5,4,3,6,2,8,1]

[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [4,5,3,6,2,8,7,1] => [7,6,5,4,3,2,8,1]

[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [3,5,4,6,2,8,7,1] => [7,6,3,5,4,2,8,1]

[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [3,4,5,6,2,8,7,1] => [7,6,3,4,5,2,8,1]

[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [2,6,5,4,3,8,7,1] => [7,2,4,5,6,3,8,1]

[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [2,4,6,5,3,8,7,1] => [7,2,5,4,6,3,8,1]

[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,4,5,6,3,8,7,1] => [7,2,6,4,5,3,8,1]

[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,6,5,4,8,7,1] => [7,3,2,5,6,4,8,1]

[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,3,5,6,4,8,7,1] => [7,2,3,6,5,4,8,1]

[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [4,3,2,6,5,8,7,1] => [7,3,4,2,6,5,8,1]

[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [3,4,2,6,5,8,7,1] => [7,4,3,2,6,5,8,1]

[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,4,3,6,5,8,7,1] => [7,2,4,3,6,5,8,1]

[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,3,4,6,5,8,7,1] => [7,2,3,4,6,5,8,1]

[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [5,4,3,2,6,8,7,1] => [7,3,4,5,2,6,8,1]

[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [4,3,5,2,6,8,7,1] => [7,5,4,3,2,6,8,1]

[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [3,4,5,2,6,8,7,1] => [7,5,3,4,2,6,8,1]

[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [2,5,4,3,6,8,7,1] => [7,2,4,5,3,6,8,1]

[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [2,4,5,3,6,8,7,1] => [7,2,5,4,3,6,8,1]

[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8] => [4,3,2,5,6,8,7,1] => [7,3,4,2,5,6,8,1]

[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [3,4,2,5,6,8,7,1] => [7,4,3,2,5,6,8,1]

[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [2,4,3,5,6,8,7,1] => [7,2,4,3,5,6,8,1]

[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [3,2,4,5,6,8,7,1] => [7,3,2,4,5,6,8,1]

[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [2,3,4,5,6,8,7,1] => [7,2,3,4,5,6,8,1]

[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [7,6,5,4,3,2,8,1] => [8,3,4,5,6,7,2,1]

[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [6,7,5,4,3,2,8,1] => [8,3,4,5,7,6,2,1]

[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [6,5,7,4,3,2,8,1] => [8,3,4,7,6,5,2,1]

[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [5,6,7,4,3,2,8,1] => [8,3,4,7,5,6,2,1]

[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [4,7,6,5,3,2,8,1] => [8,3,5,4,6,7,2,1]

[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [4,3,6,5,2,1,7,8] => [5,4,7,6,3,2,8,1] => [8,3,6,5,4,7,2,1]

[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [6,5,4,7,3,2,8,1] => [8,3,7,5,6,4,2,1]

[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [4,5,6,7,3,2,8,1] => [8,3,7,4,5,6,2,1]

[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [3,5,7,6,4,2,8,1] => [8,4,3,6,5,7,2,1]

[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8] => [3,5,6,7,4,2,8,1] => [8,4,3,7,5,6,2,1]

[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [2,3,6,5,4,1,7,8] => [3,4,7,6,5,2,8,1] => [8,5,3,4,6,7,2,1]

[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [3,4,6,7,5,2,8,1] => [8,5,3,4,7,6,2,1]

[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [5,4,3,7,6,2,8,1] => [8,6,4,5,3,7,2,1]

[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [3,5,4,7,6,2,8,1] => [8,6,3,5,4,7,2,1]

[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [3,4,5,7,6,2,8,1] => [8,6,3,4,5,7,2,1]

[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [6,5,4,3,7,2,8,1] => [8,7,4,5,6,3,2,1]

[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [5,6,4,3,7,2,8,1] => [8,7,4,6,5,3,2,1]

[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8] => [4,6,5,3,7,2,8,1] => [8,7,5,4,6,3,2,1]

[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [5,4,6,3,7,2,8,1] => [8,7,6,5,4,3,2,1]

[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [4,5,6,3,7,2,8,1] => [8,7,6,4,5,3,2,1]

[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [3,4,6,5,7,2,8,1] => [8,7,3,4,6,5,2,1]

[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [5,4,3,6,7,2,8,1] => [8,7,4,5,3,6,2,1]

[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [4,5,3,6,7,2,8,1] => [8,7,5,4,3,6,2,1]

[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [4,3,5,6,7,2,8,1] => [8,7,4,3,5,6,2,1]

[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [3,4,5,6,7,2,8,1] => [8,7,3,4,5,6,2,1]

[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [2,7,6,5,4,3,8,1] => [8,2,4,5,6,7,3,1]

[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => [2,5,7,6,4,3,8,1] => [8,2,4,6,5,7,3,1]

[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [2,6,5,7,4,3,8,1] => [8,2,4,7,6,5,3,1]

[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,4,5,6,3,2,7,8] => [2,5,6,7,4,3,8,1] => [8,2,4,7,5,6,3,1]

[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [2,4,6,7,5,3,8,1] => [8,2,5,4,7,6,3,1]

[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [2,5,4,7,6,3,8,1] => [8,2,6,5,4,7,3,1]

[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [2,5,6,4,7,3,8,1] => [8,2,7,6,5,4,3,1]

[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,3,5,4,6,2,7,8] => [2,4,6,5,7,3,8,1] => [8,2,7,4,6,5,3,1]

[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => [2,5,4,6,7,3,8,1] => [8,2,7,5,4,6,3,1]

[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [2,4,5,6,7,3,8,1] => [8,2,7,4,5,6,3,1]

[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [3,2,6,7,5,4,8,1] => [8,3,2,5,7,6,4,1]

[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,5,7,6,4,8,1] => [8,3,2,6,5,7,4,1]

[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [2,3,7,6,5,4,8,1] => [8,2,3,5,6,7,4,1]

[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [2,3,6,7,5,4,8,1] => [8,2,3,5,7,6,4,1]

[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [2,3,5,7,6,4,8,1] => [8,2,3,6,5,7,4,1]

[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [2,3,5,6,7,4,8,1] => [8,2,3,7,5,6,4,1]

[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [4,3,2,7,6,5,8,1] => [8,3,4,2,6,7,5,1]

[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [4,3,2,6,7,5,8,1] => [8,3,4,2,7,6,5,1]

[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [3,4,2,7,6,5,8,1] => [8,4,3,2,6,7,5,1]

[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [3,4,2,6,7,5,8,1] => [8,4,3,2,7,6,5,1]

[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [2,4,3,7,6,5,8,1] => [8,2,4,3,6,7,5,1]

[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,4,3,6,7,5,8,1] => [8,2,4,3,7,6,5,1]

[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [2,3,4,7,6,5,8,1] => [8,2,3,4,6,7,5,1]

[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [2,3,4,6,7,5,8,1] => [8,2,3,4,7,6,5,1]

[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [5,4,3,2,7,6,8,1] => [8,3,4,5,2,7,6,1]

[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8] => [3,5,4,2,7,6,8,1] => [8,4,3,5,2,7,6,1]

[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [4,3,5,2,7,6,8,1] => [8,5,4,3,2,7,6,1]

[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [3,4,5,2,7,6,8,1] => [8,5,3,4,2,7,6,1]

[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [3,2,5,4,7,6,8,1] => [8,3,2,5,4,7,6,1]

[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [2,3,5,4,7,6,8,1] => [8,2,3,5,4,7,6,1]

[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [2,4,3,5,7,6,8,1] => [8,2,4,3,5,7,6,1]

[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [3,2,4,5,7,6,8,1] => [8,3,2,4,5,7,6,1]

[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [2,3,4,5,7,6,8,1] => [8,2,3,4,5,7,6,1]

[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [6,5,4,3,2,7,8,1] => [8,3,4,5,6,2,7,1]

[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [4,6,5,3,2,7,8,1] => [8,3,5,4,6,2,7,1]

[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [5,4,6,3,2,7,8,1] => [8,3,6,5,4,2,7,1]

[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [4,5,6,3,2,7,8,1] => [8,3,6,4,5,2,7,1]

[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [3,6,5,4,2,7,8,1] => [8,4,3,5,6,2,7,1]

[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [3,5,6,4,2,7,8,1] => [8,4,3,6,5,2,7,1]

[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [4,3,6,5,2,7,8,1] => [8,5,4,3,6,2,7,1]

[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [3,4,6,5,2,7,8,1] => [8,5,3,4,6,2,7,1]

[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [5,4,3,6,2,7,8,1] => [8,6,4,5,3,2,7,1]

[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [4,5,3,6,2,7,8,1] => [8,6,5,4,3,2,7,1]

[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [3,5,4,6,2,7,8,1] => [8,6,3,5,4,2,7,1]

[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [4,3,5,6,2,7,8,1] => [8,6,4,3,5,2,7,1]

[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [3,4,5,6,2,7,8,1] => [8,6,3,4,5,2,7,1]

[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [2,6,5,4,3,7,8,1] => [8,2,4,5,6,3,7,1]

[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [2,5,6,4,3,7,8,1] => [8,2,4,6,5,3,7,1]

[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [2,4,6,5,3,7,8,1] => [8,2,5,4,6,3,7,1]

[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,4,3,5,2,6,7,8] => [2,5,4,6,3,7,8,1] => [8,2,6,5,4,3,7,1]

[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [2,4,5,6,3,7,8,1] => [8,2,6,4,5,3,7,1]

[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [3,2,5,6,4,7,8,1] => [8,3,2,6,5,4,7,1]

[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [2,3,6,5,4,7,8,1] => [8,2,3,5,6,4,7,1]

[[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,2,4,5,3,6,7,8] => [2,3,5,6,4,7,8,1] => [8,2,3,6,5,4,7,1]

[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [4,3,2,6,5,7,8,1] => [8,3,4,2,6,5,7,1]

[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [3,4,2,6,5,7,8,1] => [8,4,3,2,6,5,7,1]

[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [2,4,3,6,5,7,8,1] => [8,2,4,3,6,5,7,1]

[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [2,3,4,6,5,7,8,1] => [8,2,3,4,6,5,7,1]

[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [5,4,3,2,6,7,8,1] => [8,3,4,5,2,6,7,1]

[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [4,5,3,2,6,7,8,1] => [8,3,5,4,2,6,7,1]

[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [3,5,4,2,6,7,8,1] => [8,4,3,5,2,6,7,1]

[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [4,3,5,2,6,7,8,1] => [8,5,4,3,2,6,7,1]

[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [3,4,5,2,6,7,8,1] => [8,5,3,4,2,6,7,1]

[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [2,5,4,3,6,7,8,1] => [8,2,4,5,3,6,7,1]

[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [2,4,5,3,6,7,8,1] => [8,2,5,4,3,6,7,1]

[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [3,2,5,4,6,7,8,1] => [8,3,2,5,4,6,7,1]

[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [2,3,5,4,6,7,8,1] => [8,2,3,5,4,6,7,1]

[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [4,3,2,5,6,7,8,1] => [8,3,4,2,5,6,7,1]

[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,4,2,5,6,7,8,1] => [8,4,3,2,5,6,7,1]

[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [2,4,3,5,6,7,8,1] => [8,2,4,3,5,6,7,1]

[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => [8,3,2,4,5,6,7,1]

[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1]

[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9]

[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8]

[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [8,9,1,2,3,4,5,6,7] => [9,1,2,3,4,5,6,8,7]

[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [7,8,9,1,2,3,4,5,6] => [9,1,2,3,4,5,7,8,6]

[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [6,7,8,9,1,2,3,4,5] => [9,1,2,3,4,6,7,8,5]

[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [5,6,7,8,9,1,2,3,4] => [9,1,2,3,5,6,7,8,4]

[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [4,5,6,7,8,9,1,2,3] => [9,1,2,4,5,6,7,8,3]

[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [3,4,5,6,7,8,9,1,2] => [9,1,3,4,5,6,7,8,2]

[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,1] => [9,2,3,4,5,6,7,8,1]

[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10]

[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [10,1,2,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,9]

[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [8,1,2,3,4,5,6,7,9] => [8,1,2,3,4,5,6,7,9]

[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [9,10,1,2,3,4,5,6,7,8] => [10,1,2,3,4,5,6,7,9,8]

[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [8,9,10,1,2,3,4,5,6,7] => [10,1,2,3,4,5,6,8,9,7]

[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [7,8,9,10,1,2,3,4,5,6] => [10,1,2,3,4,5,7,8,9,6]

[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [6,7,8,9,10,1,2,3,4,5] => [10,1,2,3,4,6,7,8,9,5]

[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [3,5,6,7,8,9,4,2,1] => [4,6,7,8,9,1,2,3,5] => [9,1,2,4,3,6,7,8,5]

[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [5,6,7,8,9,10,1,2,3,4] => [10,1,2,3,5,6,7,8,9,4]

[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [2,4,5,6,7,8,9,3,1] => [3,5,6,7,8,9,1,2,4] => [9,1,3,2,5,6,7,8,4]

[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [4,5,6,7,8,9,10,1,2,3] => [10,1,2,4,5,6,7,8,9,3]

[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [2,4,5,6,7,8,9,1,3] => [9,2,1,4,5,6,7,8,3]

[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [3,4,5,6,7,8,9,10,1,2] => [10,1,3,4,5,6,7,8,9,2]

[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [2,3,4,5,6,7,8,9,10,1] => [10,2,3,4,5,6,7,8,9,1]

[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,7]

[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,6]

[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,5]

[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [9,8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,9,4]

[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [9,8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,9,3]

[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,2]

[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1]

[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [10,9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,10,8]

[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [10,9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,10,7]

[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [10,9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,10,6]

[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [10,9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,10,5]

[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [10,9,8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,9,10,4]

[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [2,8,7,6,5,4,3,9,1] => [3,9,8,7,6,5,4,1,2] => [4,1,3,5,6,7,8,9,2]

[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [10,9,8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,9,10,3]

[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [2,9,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,9,1]

[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [10,9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,10,2]

[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,1]

[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [2,4,6,8,10,1,3,5,7,9] => [10,2,1,4,3,6,5,8,7,9]

[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [2,1,4,6,5,3,8,7,10,9] => [3,2,5,7,6,4,9,8,1,10] => [8,3,2,6,5,7,4,9,1,10]

[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,9,8,1,10] => [4,3,6,5,8,7,10,9,2,1] => [2,9,4,3,6,5,8,7,10,1]

[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [3,2,5,4,7,6,9,8,1,10] => [8,3,2,5,4,7,6,9,1,10]

[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,10,9,7,12,11] => [3,2,5,7,6,4,9,11,10,8,1,12] => [8,3,2,6,5,7,4,10,9,11,1,12]

[[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,1,4,6,5,3,8,7,10,9,12,11] => [3,2,5,7,6,4,9,8,11,10,1,12] => [10,3,2,6,5,7,4,9,8,11,1,12]

[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,9,8,11,10,1,12] => [4,3,6,5,8,7,10,9,12,11,2,1] => [2,11,4,3,6,5,8,7,10,9,12,1]

[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [3,2,5,4,7,6,9,8,11,10,1,12] => [10,3,2,5,4,7,6,9,8,11,1,12]

[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,3,4,5,6,7,8,1,9] => [8,2,3,4,5,6,7,1,9]

[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,3,4,5,6,7,8,9,1,10] => [9,2,3,4,5,6,7,8,1,10]

[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [3,2,4,5,6,7,8,1,9] => [8,3,2,4,5,6,7,1,9]

[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [4,3,5,6,7,8,9,1,2] => [9,1,4,3,5,6,7,8,2]

[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [2,3,4,5,6,7,8,9,10,1,11] => [10,2,3,4,5,6,7,8,9,1,11]

[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [3,2,4,5,6,7,8,9,1,10] => [9,3,2,4,5,6,7,8,1,10]

[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [2,3,1,4,5,6,7,9,8] => [3,4,2,5,6,7,8,1,9] => [8,4,3,2,5,6,7,1,9]

[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [4,5,3,6,7,8,9,1,2] => [9,1,5,4,3,6,7,8,2]

[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [4,3,5,6,7,8,9,10,1,2] => [10,1,4,3,5,6,7,8,9,2]

[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [3,4,5,6,7,8,9,10,11,1,2] => [11,1,3,4,5,6,7,8,9,10,2]

[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [2,3,4,5,6,7,9,1,8] => [9,2,3,4,5,6,7,1,8]

[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [2,3,4,5,6,8,9,1,7] => [9,2,3,4,5,6,1,8,7]

[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [2,3,4,5,7,8,9,1,6] => [9,2,3,4,5,1,7,8,6]

[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [2,3,4,6,7,8,9,1,5] => [9,2,3,4,1,6,7,8,5]

[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [2,3,5,6,7,8,9,1,4] => [9,2,3,1,5,6,7,8,4]

[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [2,3,4,5,6,7,1,8,9] => [7,2,3,4,5,6,1,8,9]

[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [2,3,4,5,6,7,8,10,1,9] => [10,2,3,4,5,6,7,8,1,9]

[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => [2,3,4,5,6,9,8,1,7] => [8,2,3,4,5,6,1,9,7]

[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [2,3,4,5,6,7,9,10,1,8] => [10,2,3,4,5,6,7,1,9,8]

[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,4,7,6,8,9,5] => [2,3,4,5,8,7,9,1,6] => [9,2,3,4,5,1,8,7,6]

[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [2,3,4,5,6,8,9,10,1,7] => [10,2,3,4,5,6,1,8,9,7]

[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,2,3,6,5,7,8,9,4] => [2,3,4,7,6,8,9,1,5] => [9,2,3,4,1,7,6,8,5]

[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,3,4,5,7,8,9,10,1,6] => [10,2,3,4,5,1,7,8,9,6]

[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [1,2,5,4,6,7,8,9,3] => [2,3,6,5,7,8,9,1,4] => [9,2,3,1,6,5,7,8,4]

[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [2,3,4,6,7,8,9,10,1,5] => [10,2,3,4,1,6,7,8,9,5]

[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [2,5,4,6,7,8,9,1,3] => [9,2,1,5,4,6,7,8,3]

[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [2,3,5,6,7,8,9,10,1,4] => [10,2,3,1,5,6,7,8,9,4]

[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [2,4,5,6,7,8,9,10,1,3] => [10,2,1,4,5,6,7,8,9,3]

[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9]

[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [8,9,7,6,5,4,3,2,1] => [2,3,4,5,6,7,9,8,1]

[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,8,9,7,6,5,4,3,2] => [2,9,1,3,4,5,6,7,8] => [9,2,1,3,4,5,6,7,8]

[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10]

[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [11,10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,11,1]

[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [9,10,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,10,9,1]

[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [8,7,9,6,5,4,3,2,1] => [2,3,4,5,6,9,8,7,1]

[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,8,7,9,6,5,4,3,2] => [2,9,8,1,3,4,5,6,7] => [8,2,1,3,4,5,6,9,7]

[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,9,10,8,7,6,5,4,3,2] => [2,10,1,3,4,5,6,7,8,9] => [10,2,1,3,4,5,6,7,8,9]

[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11]

[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [5,4,6,3,7,2,9,8,10,1] => [6,5,7,4,8,3,10,9,1,2] => [9,1,8,7,6,5,4,3,10,2]

[.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]] => [6,5,7,4,8,3,9,2,11,10,12,1] => [7,6,8,5,9,4,10,3,12,11,1,2] => [11,1,10,9,8,7,6,5,4,3,12,2]

[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9]

[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [4,3,2,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9]

[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [5,4,3,2,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9]

[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [6,5,4,3,2,1,7,8,9] => [2,3,4,5,6,1,7,8,9]

[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,1,8,9]

[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,1,9]

[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9]

[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10]

[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [3,4,2,1,5,6,7,8,9] => [2,4,3,1,5,6,7,8,9]

[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [4,3,2,1,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10]

[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [3,4,2,1,9,8,7,6,5] => [4,5,3,2,1,6,7,8,9] => [2,3,5,4,1,6,7,8,9]

[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [5,4,3,2,1,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10]

[[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]] => [4,5,3,2,1,9,8,7,6] => [5,6,4,3,2,1,7,8,9] => [2,3,4,6,5,1,7,8,9]

[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [6,5,4,3,2,1,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10]

[[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]] => [5,6,4,3,2,1,9,8,7] => [6,7,5,4,3,2,1,8,9] => [2,3,4,5,7,6,1,8,9]

[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [7,6,5,4,3,2,1,8,9,10] => [2,3,4,5,6,7,1,8,9,10]

[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [6,7,5,4,3,2,1,9,8] => [7,8,6,5,4,3,2,1,9] => [2,3,4,5,6,8,7,1,9]

[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [8,7,6,5,4,3,2,1,9,10] => [2,3,4,5,6,7,8,1,9,10]

[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,1,10]

[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [8,7,6,5,4,3,2,9,1] => [9,3,4,5,6,7,8,2,1]

[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [7,6,5,4,3,2,8,9,1] => [9,3,4,5,6,7,2,8,1]

[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [6,5,4,3,2,7,8,9,1] => [9,3,4,5,6,2,7,8,1]

[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [5,4,3,2,6,7,8,9,1] => [9,3,4,5,2,6,7,8,1]

[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [4,3,2,5,6,7,8,9,1] => [9,3,4,2,5,6,7,8,1]

[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [3,2,4,5,6,7,8,9,1] => [9,3,2,4,5,6,7,8,1]

[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [9,8,7,6,5,4,3,2,10,1] => [10,3,4,5,6,7,8,9,2,1]

[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [8,7,6,5,4,3,2,9,10,1] => [10,3,4,5,6,7,8,2,9,1]

[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [7,6,5,4,3,2,8,9,10,1] => [10,3,4,5,6,7,2,8,9,1]

[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [6,5,4,3,2,7,8,9,10,1] => [10,3,4,5,6,2,7,8,9,1]

[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [5,4,3,2,6,7,8,9,10,1] => [10,3,4,5,2,6,7,8,9,1]

[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [4,3,2,5,6,7,8,9,10,1] => [10,3,4,2,5,6,7,8,9,1]

[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [2,4,3,5,6,7,8,9,1] => [9,2,4,3,5,6,7,8,1]

[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [3,2,4,5,6,7,8,9,10,1] => [10,3,2,4,5,6,7,8,9,1]

[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [4,9,8,7,6,5,3,2,1] => [5,1,2,3,4,6,7,8,9] => [5,1,2,3,4,6,7,8,9]

[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [3,9,8,7,6,5,4,2,1] => [4,1,2,3,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9]

[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [3,1,2,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9]

[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [6,10,9,8,7,5,4,3,2,1] => [7,1,2,3,4,5,6,8,9,10] => [7,1,2,3,4,5,6,8,9,10]

[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [3,4,5,6,7,8,1,2,9] => [8,1,3,4,5,6,7,2,9]

[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [3,2,4,5,6,7,8,9,10,11,1] => [11,3,2,4,5,6,7,8,9,10,1]

[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [2,1,3,4,5,6,8,9,7] => [3,2,4,5,6,7,9,1,8] => [9,3,2,4,5,6,7,1,8]

[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [2,3,4,5,6,8,9,7,1] => [3,4,5,6,7,9,1,2,8] => [9,1,3,4,5,6,7,2,8]

[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [3,4,5,6,7,8,9,1,2,10] => [9,1,3,4,5,6,7,8,2,10]

[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [6,5,4,3,2,1,8,7,9] => [7,6,5,4,3,2,9,8,1] => [8,3,4,5,6,7,2,9,1]

[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [4,5,6,7,8,9,3,1,2] => [3,1,9,4,5,6,7,8,2]

[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [3,4,5,6,7,8,9,2,1] => [2,9,3,4,5,6,7,8,1]

[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [3,4,2,5,6,7,8,9,1] => [9,4,3,2,5,6,7,8,1]

[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [3,4,5,6,7,8,2,9,1] => [9,8,3,4,5,6,7,2,1]

[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10] => [3,4,2,5,6,7,8,9,10,1] => [10,4,3,2,5,6,7,8,9,1]

[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [3,4,5,6,7,8,9,10,2,1] => [2,10,3,4,5,6,7,8,9,1]

[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [2,3,4,6,5,7,8,9,1] => [9,2,3,4,6,5,7,8,1]

[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [2,3,4,5,7,6,8,9,1] => [9,2,3,4,5,7,6,8,1]

[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [2,3,4,5,6,8,7,9,1] => [9,2,3,4,5,6,8,7,1]

[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [2,3,4,5,6,7,9,8,1] => [8,2,3,4,5,6,7,9,1]

[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [2,3,4,6,5,7,8,9,10,1] => [10,2,3,4,6,5,7,8,9,1]

[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [2,3,4,5,7,6,8,9,10,1] => [10,2,3,4,5,7,6,8,9,1]

[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [2,3,4,5,6,7,8,10,9,1] => [9,2,3,4,5,6,7,8,10,1]

[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [2,4,5,6,7,8,1,3,9] => [8,2,1,4,5,6,7,3,9]

[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [7,6,5,4,3,2,9,8,1] => [8,7,6,5,4,3,1,2,9] => [3,1,4,5,6,7,8,2,9]

[.,[[[[[.,[.,[.,[.,.]]]],.],.],.],.]] => [5,4,3,2,6,7,8,9,1] => [6,5,4,3,7,8,9,1,2] => [9,1,4,5,6,3,7,8,2]

[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [6,5,4,3,2,7,8,9,1] => [7,6,5,4,3,8,9,1,2] => [9,1,4,5,6,7,3,8,2]

[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => [7,6,5,4,3,2,8,9,1] => [8,7,6,5,4,3,9,1,2] => [9,1,4,5,6,7,8,3,2]

[.,[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]] => [5,4,3,2,6,7,8,9,10,1] => [6,5,4,3,7,8,9,10,1,2] => [10,1,4,5,6,3,7,8,9,2]

[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [2,8,7,6,5,4,3,1,9] => [3,2,4,5,6,7,8,1,9]

[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [7,6,5,4,3,2,9,1,8] => [9,3,4,5,6,7,2,1,8]

[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [2,3,4,5,6,7,8,9,10,11,1] => [11,2,3,4,5,6,7,8,9,10,1]

[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [2,3,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10]

[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,3,2,9,8,7,6,5,4] => [2,4,3,1,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9]

[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9] => [3,2,9,8,7,6,5,4,1] => [4,3,2,5,6,7,8,9,1]

[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [2,10,9,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,9,10,1]

[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [1,2,4,5,3,6,7,8,9] => [2,3,5,6,4,7,8,9,1] => [9,2,3,6,5,4,7,8,1]

[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [8,7,6,5,4,3,2,10,9,1] => [9,8,7,6,5,4,3,1,2,10] => [3,1,4,5,6,7,8,9,2,10]

[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [3,2,5,6,7,8,9,1,4] => [9,3,2,1,5,6,7,8,4]

[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [2,4,5,6,7,8,9,3,1] => [3,2,9,4,5,6,7,8,1]

[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] => [2,1,8,9,7,6,5,4,3] => [3,2,9,1,4,5,6,7,8] => [9,3,2,1,4,5,6,7,8]

[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [2,3,4,5,6,7,8,1,9,10] => [8,2,3,4,5,6,7,1,9,10]

[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [6,7,8,5,4,3,2,1,9] => [7,8,9,6,5,4,3,2,1] => [2,3,4,5,6,9,7,8,1]

[[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]],.] => [6,5,7,8,4,3,2,1,9] => [7,6,8,9,5,4,3,2,1] => [2,3,4,5,9,7,6,8,1]

[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [7,8,9,6,5,4,3,2,1,10] => [8,9,10,7,6,5,4,3,2,1] => [2,3,4,5,6,7,10,8,9,1]

[[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]],.] => [7,6,8,9,5,4,3,2,1,10] => [8,7,9,10,6,5,4,3,2,1] => [2,3,4,5,6,10,8,7,9,1]

[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [2,3,4,5,6,1,7,8,9] => [6,2,3,4,5,1,7,8,9]

[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [2,3,4,5,1,6,7,8,9] => [5,2,3,4,1,6,7,8,9]

[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [2,3,4,1,5,6,7,8,9] => [4,2,3,1,5,6,7,8,9]

[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [2,3,4,5,6,8,7,1,9] => [7,2,3,4,5,6,8,1,9]

[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [2,3,4,5,6,7,1,8,9,10] => [7,2,3,4,5,6,1,8,9,10]

[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,4,6,5,9,8,7] => [2,3,4,5,7,6,1,8,9] => [6,2,3,4,5,7,1,8,9]

[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [2,3,4,5,6,1,7,8,9,10] => [6,2,3,4,5,1,7,8,9,10]

[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,3,5,4,9,8,7,6] => [2,3,4,6,5,1,7,8,9] => [5,2,3,4,6,1,7,8,9]

[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [2,3,4,5,1,6,7,8,9,10] => [5,2,3,4,1,6,7,8,9,10]

[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,2,4,3,9,8,7,6,5] => [2,3,5,4,1,6,7,8,9] => [4,2,3,5,1,6,7,8,9]

[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4] => [2,3,4,1,5,6,7,8,9,10] => [4,2,3,1,5,6,7,8,9,10]

[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9] => [2,3,4,5,6,7,9,8,1,10] => [8,2,3,4,5,6,7,9,1,10]

[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] => [10,9,11,8,7,6,5,4,3,2,1] => [11,10,1,2,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,11,9]

[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] => [2,8,9,7,6,5,4,3,1] => [3,9,1,2,4,5,6,7,8] => [9,1,3,2,4,5,6,7,8]

[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [11,1,2,3,4,5,6,7,8,9,10] => [11,1,2,3,4,5,6,7,8,9,10]

[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [8,9,7,6,5,4,3,1,2] => [3,1,4,5,6,7,9,8,2]

[[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10,11] => [3,4,2,5,6,7,8,9,10,11,1] => [11,4,3,2,5,6,7,8,9,10,1]

[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [8,7,6,5,4,3,9,2,1] => [2,9,4,5,6,7,8,3,1]

[[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]],.] => [6,5,8,7,4,3,2,1,9] => [7,6,9,8,5,4,3,2,1] => [2,3,4,5,8,7,6,9,1]

[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.] => [7,6,5,8,4,3,2,1,9] => [8,7,6,9,5,4,3,2,1] => [2,3,4,5,9,7,8,6,1]

[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [4,3,5,6,7,8,9,2,1] => [2,9,4,3,5,6,7,8,1]

[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [7,6,5,4,3,2,1,9,8,10] => [8,7,6,5,4,3,2,10,9,1] => [9,3,4,5,6,7,8,2,10,1]

[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [3,4,1,2,5,6,7,8,9] => [4,1,3,2,5,6,7,8,9]

[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [2,8,7,6,5,4,3,1,9] => [3,9,8,7,6,5,4,2,1] => [2,4,3,5,6,7,8,9,1]

[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [3,4,5,6,7,8,2,1,9] => [2,8,3,4,5,6,7,1,9]

[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.] => [8,7,6,5,4,3,2,9,1,10] => [9,8,7,6,5,4,3,10,2,1] => [2,10,4,5,6,7,8,9,3,1]

[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,8,10,9,11] => [2,3,4,5,6,7,8,9,11,10,1] => [10,2,3,4,5,6,7,8,9,11,1]

[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [6,7,5,4,3,2,1,8,9] => [7,8,6,5,4,3,2,9,1] => [9,3,4,5,6,8,7,2,1]

[[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]] => [5,4,3,2,1,8,9,7,6] => [6,5,4,3,2,9,1,7,8] => [9,3,4,5,6,2,1,7,8]

[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [8,7,6,5,4,3,2,10,1,9] => [10,3,4,5,6,7,8,2,1,9]

Map

to 312-avoiding permutation

Description

Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.

Map

Lehmer code rotation

Description

Sends a permutation $\pi$ to the unique permutation $\tau$ (of the same length) such that every entry in the Lehmer code of $\tau$ is cyclically one larger than the Lehmer code of $\pi$.

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.
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 maxima 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 weak deficiency positions of $\chi(\pi)$, and
the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.