Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Images
[.,.] => [1] => [1] => [.,.]
[.,[.,.]] => [2,1] => [2,1] => [[.,.],.]
[[.,.],.] => [1,2] => [1,2] => [.,[.,.]]
[.,[.,[.,.]]] => [3,2,1] => [2,3,1] => [[.,.],[.,.]]
[.,[[.,.],.]] => [2,3,1] => [3,2,1] => [[[.,.],.],.]
[[.,.],[.,.]] => [3,1,2] => [3,1,2] => [[.,[.,.]],.]
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [2,3,4,1] => [[.,.],[.,[.,.]]]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [2,4,3,1] => [[.,.],[[.,.],.]]
[.,[[.,.],[.,.]]] => [4,2,3,1] => [3,4,2,1] => [[[.,.],.],[.,.]]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,2,3,1] => [[[.,.],[.,.]],.]
[[.,.],[.,[.,.]]] => [4,3,1,2] => [3,1,4,2] => [[.,[.,.]],[.,.]]
[[.,.],[[.,.],.]] => [3,4,1,2] => [4,1,3,2] => [[.,[[.,.],.]],.]
[[.,[.,.]],[.,.]] => [4,2,1,3] => [2,4,1,3] => [[.,.],[[.,.],.]]
[[[.,.],.],[.,.]] => [4,1,2,3] => [4,1,2,3] => [[.,[.,[.,.]]],.]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [2,3,1,4] => [[.,.],[.,[.,.]]]
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[[.,.],[.,.]],.] => [3,1,2,4] => [3,1,2,4] => [[.,[.,.]],[.,.]]
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [2,3,4,5,1] => [[.,.],[.,[.,[.,.]]]]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [2,3,5,4,1] => [[.,.],[.,[[.,.],.]]]
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [2,4,5,3,1] => [[.,.],[[.,.],[.,.]]]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [2,5,4,3,1] => [[.,.],[[[.,.],.],.]]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [2,5,3,4,1] => [[.,.],[[.,[.,.]],.]]
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [3,4,2,5,1] => [[[.,.],.],[.,[.,.]]]
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [3,5,2,4,1] => [[[.,.],.],[[.,.],.]]
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [4,3,5,2,1] => [[[[.,.],.],.],[.,.]]
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [4,5,2,3,1] => [[[.,.],[.,.]],[.,.]]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [5,3,4,2,1] => [[[[.,.],.],[.,.]],.]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [5,4,3,2,1] => [[[[[.,.],.],.],.],.]
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [5,4,2,3,1] => [[[[.,.],[.,.]],.],.]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [5,3,2,4,1] => [[[[.,.],.],[.,.]],.]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [5,2,3,4,1] => [[[.,.],[.,[.,.]]],.]
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [3,1,4,5,2] => [[.,[.,.]],[.,[.,.]]]
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [3,1,5,4,2] => [[.,[.,.]],[[.,.],.]]
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [4,1,5,3,2] => [[.,[[.,.],.]],[.,.]]
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [5,1,4,3,2] => [[.,[[[.,.],.],.]],.]
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [5,1,3,4,2] => [[.,[[.,.],[.,.]]],.]
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [2,4,1,5,3] => [[.,.],[[.,.],[.,.]]]
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [2,5,1,4,3] => [[.,.],[[[.,.],.],.]]
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [4,1,2,5,3] => [[.,[.,[.,.]]],[.,.]]
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [5,1,2,4,3] => [[.,[.,[[.,.],.]]],.]
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [2,3,5,1,4] => [[.,.],[.,[[.,.],.]]]
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [3,5,2,1,4] => [[[.,.],.],[[.,.],.]]
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [3,1,5,2,4] => [[.,[.,.]],[[.,.],.]]
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [2,5,1,3,4] => [[.,.],[[.,[.,.]],.]]
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [5,1,2,3,4] => [[.,[.,[.,[.,.]]]],.]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [2,3,4,1,5] => [[.,.],[.,[.,[.,.]]]]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [2,4,3,1,5] => [[.,.],[[.,.],[.,.]]]
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [3,4,2,1,5] => [[[.,.],.],[.,[.,.]]]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,2,3,1,5] => [[[.,.],[.,.]],[.,.]]
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [3,1,4,2,5] => [[.,[.,.]],[.,[.,.]]]
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [4,1,3,2,5] => [[.,[[.,.],.]],[.,.]]
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [2,4,1,3,5] => [[.,.],[[.,.],[.,.]]]
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [4,1,2,3,5] => [[.,[.,[.,.]]],[.,.]]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [2,3,1,4,5] => [[.,.],[.,[.,[.,.]]]]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [3,1,2,4,5] => [[.,[.,.]],[.,[.,.]]]
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [2,3,4,5,6,1] => [[.,.],[.,[.,[.,[.,.]]]]]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [2,3,4,6,5,1] => [[.,.],[.,[.,[[.,.],.]]]]
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [2,3,5,6,4,1] => [[.,.],[.,[[.,.],[.,.]]]]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [2,3,6,5,4,1] => [[.,.],[.,[[[.,.],.],.]]]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [2,3,6,4,5,1] => [[.,.],[.,[[.,[.,.]],.]]]
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [2,4,5,3,6,1] => [[.,.],[[.,.],[.,[.,.]]]]
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [2,4,6,3,5,1] => [[.,.],[[.,.],[[.,.],.]]]
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [2,5,4,6,3,1] => [[.,.],[[[.,.],.],[.,.]]]
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [2,5,6,3,4,1] => [[.,.],[[.,[.,.]],[.,.]]]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [2,6,4,5,3,1] => [[.,.],[[[.,.],[.,.]],.]]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [2,6,5,4,3,1] => [[.,.],[[[[.,.],.],.],.]]
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [2,6,5,3,4,1] => [[.,.],[[[.,[.,.]],.],.]]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [2,6,4,3,5,1] => [[.,.],[[[.,.],[.,.]],.]]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [2,6,3,4,5,1] => [[.,.],[[.,[.,[.,.]]],.]]
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [3,4,2,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]]
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [3,4,2,6,5,1] => [[[.,.],.],[.,[[.,.],.]]]
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [3,5,2,6,4,1] => [[[.,.],.],[[.,.],[.,.]]]
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [3,6,2,5,4,1] => [[[.,.],.],[[[.,.],.],.]]
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [3,6,2,4,5,1] => [[[.,.],.],[[.,[.,.]],.]]
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [4,3,5,2,6,1] => [[[[.,.],.],.],[.,[.,.]]]
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [4,3,6,2,5,1] => [[[[.,.],.],.],[[.,.],.]]
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [4,5,2,3,6,1] => [[[.,.],[.,.]],[.,[.,.]]]
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [4,6,2,3,5,1] => [[[.,.],[.,.]],[[.,.],.]]
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [5,3,4,6,2,1] => [[[[.,.],.],[.,.]],[.,.]]
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [5,4,6,3,2,1] => [[[[[.,.],.],.],.],[.,.]]
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [5,4,2,6,3,1] => [[[[.,.],[.,.]],.],[.,.]]
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [5,3,6,2,4,1] => [[[[.,.],.],[.,.]],[.,.]]
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [5,6,2,3,4,1] => [[[.,.],[.,[.,.]]],[.,.]]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [6,3,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],.]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [6,3,5,4,2,1] => [[[[.,.],.],[[.,.],.]],.]
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [6,4,5,3,2,1] => [[[[[.,.],.],.],[.,.]],.]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.]
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [6,4,2,5,3,1] => [[[[.,.],[.,.]],[.,.]],.]
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [6,5,2,4,3,1] => [[[[.,.],[[.,.],.]],.],.]
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [6,3,5,2,4,1] => [[[[.,.],.],[[.,.],.]],.]
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [6,5,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],.]
>>> Load all 1657 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [6,3,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],.]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.]
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [6,4,2,3,5,1] => [[[[.,.],[.,.]],[.,.]],.]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [6,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],.]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [6,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],.]
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [3,1,4,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]]
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [3,1,4,6,5,2] => [[.,[.,.]],[.,[[.,.],.]]]
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [3,1,5,6,4,2] => [[.,[.,.]],[[.,.],[.,.]]]
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [3,1,6,5,4,2] => [[.,[.,.]],[[[.,.],.],.]]
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [3,1,6,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]]
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [4,1,5,3,6,2] => [[.,[[.,.],.]],[.,[.,.]]]
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [4,1,6,3,5,2] => [[.,[[.,.],.]],[[.,.],.]]
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,1,4,6,3,2] => [[.,[[[.,.],.],.]],[.,.]]
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [5,1,6,3,4,2] => [[.,[[.,.],[.,.]]],[.,.]]
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [6,1,4,5,3,2] => [[.,[[[.,.],.],[.,.]]],.]
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [6,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],.]
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [6,1,5,3,4,2] => [[.,[[[.,.],[.,.]],.]],.]
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [6,1,4,3,5,2] => [[.,[[[.,.],.],[.,.]]],.]
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [6,1,3,4,5,2] => [[.,[[.,.],[.,[.,.]]]],.]
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [2,4,1,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]]
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [2,4,1,6,5,3] => [[.,.],[[.,.],[[.,.],.]]]
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [2,5,1,6,4,3] => [[.,.],[[[.,.],.],[.,.]]]
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [2,6,1,5,4,3] => [[.,.],[[[[.,.],.],.],.]]
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [2,6,1,4,5,3] => [[.,.],[[[.,.],[.,.]],.]]
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [4,1,2,5,6,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [4,1,2,6,5,3] => [[.,[.,[.,.]]],[[.,.],.]]
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [5,1,2,6,4,3] => [[.,[.,[[.,.],.]]],[.,.]]
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [6,1,2,5,4,3] => [[.,[.,[[[.,.],.],.]]],.]
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => [[.,[.,[[.,.],[.,.]]]],.]
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [2,3,5,1,6,4] => [[.,.],[.,[[.,.],[.,.]]]]
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [2,3,6,1,5,4] => [[.,.],[.,[[[.,.],.],.]]]
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [3,5,2,1,6,4] => [[[.,.],.],[[.,.],[.,.]]]
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [3,6,2,1,5,4] => [[[.,.],.],[[[.,.],.],.]]
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [3,1,5,2,6,4] => [[.,[.,.]],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [3,1,6,2,5,4] => [[.,[.,.]],[[[.,.],.],.]]
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [2,5,1,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]]
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [2,6,1,3,5,4] => [[.,.],[[.,[[.,.],.]],.]]
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [5,1,2,3,6,4] => [[.,[.,[.,[.,.]]]],[.,.]]
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => [[.,[.,[.,[[.,.],.]]]],.]
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [2,3,4,6,1,5] => [[.,.],[.,[.,[[.,.],.]]]]
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [2,4,6,3,1,5] => [[.,.],[[.,.],[[.,.],.]]]
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [3,4,2,6,1,5] => [[[.,.],.],[.,[[.,.],.]]]
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [4,3,6,2,1,5] => [[[[.,.],.],.],[[.,.],.]]
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [4,6,2,3,1,5] => [[[.,.],[.,.]],[[.,.],.]]
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [3,1,4,6,2,5] => [[.,[.,.]],[.,[[.,.],.]]]
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,1,6,3,2,5] => [[.,[[.,.],.]],[[.,.],.]]
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [2,4,1,6,3,5] => [[.,.],[[.,.],[[.,.],.]]]
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [4,1,2,6,3,5] => [[.,[.,[.,.]]],[[.,.],.]]
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [2,3,6,1,4,5] => [[.,.],[.,[[.,[.,.]],.]]]
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [3,6,2,1,4,5] => [[[.,.],.],[[.,[.,.]],.]]
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,1,6,2,4,5] => [[.,[.,.]],[[.,[.,.]],.]]
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]]
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],.]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [2,3,4,5,1,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [2,3,5,4,1,6] => [[.,.],[.,[[.,.],[.,.]]]]
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [2,4,5,3,1,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [2,5,4,3,1,6] => [[.,.],[[[.,.],.],[.,.]]]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [2,5,3,4,1,6] => [[.,.],[[.,[.,.]],[.,.]]]
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [3,4,2,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]]
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [3,5,2,4,1,6] => [[[.,.],.],[[.,.],[.,.]]]
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [4,3,5,2,1,6] => [[[[.,.],.],.],[.,[.,.]]]
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [4,5,2,3,1,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [5,3,4,2,1,6] => [[[[.,.],.],[.,.]],[.,.]]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]]
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [5,4,2,3,1,6] => [[[[.,.],[.,.]],.],[.,.]]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [5,3,2,4,1,6] => [[[[.,.],.],[.,.]],[.,.]]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[.,.]]
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [3,1,4,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [3,1,5,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]]
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [4,1,5,3,2,6] => [[.,[[.,.],.]],[.,[.,.]]]
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [5,1,4,3,2,6] => [[.,[[[.,.],.],.]],[.,.]]
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [5,1,3,4,2,6] => [[.,[[.,.],[.,.]]],[.,.]]
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [2,4,1,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [2,5,1,4,3,6] => [[.,.],[[[.,.],.],[.,.]]]
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [4,1,2,5,3,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => [[.,[.,[[.,.],.]]],[.,.]]
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [2,3,5,1,4,6] => [[.,.],[.,[[.,.],[.,.]]]]
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [3,5,2,1,4,6] => [[[.,.],.],[[.,.],[.,.]]]
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [3,1,5,2,4,6] => [[.,[.,.]],[[.,.],[.,.]]]
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => [[.,.],[[.,[.,.]],[.,.]]]
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [2,3,4,1,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [2,4,3,1,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [3,4,2,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [4,2,3,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [3,1,4,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => [[.,[[.,.],.]],[.,[.,.]]]
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]]
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [2,3,4,5,6,7,1] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [2,3,4,5,7,6,1] => [[.,.],[.,[.,[.,[[.,.],.]]]]]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [2,3,4,6,7,5,1] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [2,3,4,7,6,5,1] => [[.,.],[.,[.,[[[.,.],.],.]]]]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [2,3,4,7,5,6,1] => [[.,.],[.,[.,[[.,[.,.]],.]]]]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [2,3,5,6,4,7,1] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [2,3,5,7,4,6,1] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [2,3,6,5,7,4,1] => [[.,.],[.,[[[.,.],.],[.,.]]]]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [2,3,6,7,4,5,1] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [2,3,7,5,6,4,1] => [[.,.],[.,[[[.,.],[.,.]],.]]]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [2,3,7,6,5,4,1] => [[.,.],[.,[[[[.,.],.],.],.]]]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [2,3,7,6,4,5,1] => [[.,.],[.,[[[.,[.,.]],.],.]]]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [2,3,7,5,4,6,1] => [[.,.],[.,[[[.,.],[.,.]],.]]]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [2,3,7,4,5,6,1] => [[.,.],[.,[[.,[.,[.,.]]],.]]]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [2,4,5,3,6,7,1] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [2,4,5,3,7,6,1] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [2,4,6,3,7,5,1] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [2,4,7,3,6,5,1] => [[.,.],[[.,.],[[[.,.],.],.]]]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [2,4,7,3,5,6,1] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [2,5,4,6,3,7,1] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [2,5,4,7,3,6,1] => [[.,.],[[[.,.],.],[[.,.],.]]]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [2,5,6,3,4,7,1] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [2,5,7,3,4,6,1] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [2,6,4,5,7,3,1] => [[.,.],[[[.,.],[.,.]],[.,.]]]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [2,6,5,7,4,3,1] => [[.,.],[[[[.,.],.],.],[.,.]]]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [2,6,5,3,7,4,1] => [[.,.],[[[.,[.,.]],.],[.,.]]]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [2,6,4,7,3,5,1] => [[.,.],[[[.,.],[.,.]],[.,.]]]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [2,6,7,3,4,5,1] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [2,7,4,5,6,3,1] => [[.,.],[[[.,.],[.,[.,.]]],.]]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [2,7,4,6,5,3,1] => [[.,.],[[[.,.],[[.,.],.]],.]]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [2,7,5,6,4,3,1] => [[.,.],[[[[.,.],.],[.,.]],.]]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [2,7,6,5,4,3,1] => [[.,.],[[[[[.,.],.],.],.],.]]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [2,7,6,4,5,3,1] => [[.,.],[[[[.,.],[.,.]],.],.]]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [2,7,5,3,6,4,1] => [[.,.],[[[.,[.,.]],[.,.]],.]]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [2,7,6,3,5,4,1] => [[.,.],[[[.,[[.,.],.]],.],.]]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [2,7,4,6,3,5,1] => [[.,.],[[[.,.],[[.,.],.]],.]]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [2,7,6,3,4,5,1] => [[.,.],[[[.,[.,[.,.]]],.],.]]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [2,7,4,5,3,6,1] => [[.,.],[[[.,.],[.,[.,.]]],.]]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [2,7,5,4,3,6,1] => [[.,.],[[[[.,.],.],[.,.]],.]]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [2,7,5,3,4,6,1] => [[.,.],[[[.,[.,.]],[.,.]],.]]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [2,7,4,3,5,6,1] => [[.,.],[[[.,.],[.,[.,.]]],.]]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [2,7,3,4,5,6,1] => [[.,.],[[.,[.,[.,[.,.]]]],.]]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [3,4,2,5,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [3,4,2,5,7,6,1] => [[[.,.],.],[.,[.,[[.,.],.]]]]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [3,4,2,6,7,5,1] => [[[.,.],.],[.,[[.,.],[.,.]]]]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [3,4,2,7,6,5,1] => [[[.,.],.],[.,[[[.,.],.],.]]]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [3,4,2,7,5,6,1] => [[[.,.],.],[.,[[.,[.,.]],.]]]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [3,5,2,6,4,7,1] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [3,5,2,7,4,6,1] => [[[.,.],.],[[.,.],[[.,.],.]]]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [3,6,2,5,7,4,1] => [[[.,.],.],[[[.,.],.],[.,.]]]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [3,6,2,7,4,5,1] => [[[.,.],.],[[.,[.,.]],[.,.]]]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [3,7,2,5,6,4,1] => [[[.,.],.],[[[.,.],[.,.]],.]]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [3,7,2,6,5,4,1] => [[[.,.],.],[[[[.,.],.],.],.]]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [3,7,2,6,4,5,1] => [[[.,.],.],[[[.,[.,.]],.],.]]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [3,7,2,5,4,6,1] => [[[.,.],.],[[[.,.],[.,.]],.]]
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [3,7,2,4,5,6,1] => [[[.,.],.],[[.,[.,[.,.]]],.]]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [4,3,5,2,6,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [4,3,5,2,7,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [4,3,6,2,7,5,1] => [[[[.,.],.],.],[[.,.],[.,.]]]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [4,3,7,2,6,5,1] => [[[[.,.],.],.],[[[.,.],.],.]]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [4,3,7,2,5,6,1] => [[[[.,.],.],.],[[.,[.,.]],.]]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [4,5,2,3,6,7,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [4,5,2,3,7,6,1] => [[[.,.],[.,.]],[.,[[.,.],.]]]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [4,6,2,3,7,5,1] => [[[.,.],[.,.]],[[.,.],[.,.]]]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [4,7,2,3,6,5,1] => [[[.,.],[.,.]],[[[.,.],.],.]]
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [4,7,2,3,5,6,1] => [[[.,.],[.,.]],[[.,[.,.]],.]]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [5,3,4,6,2,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [5,3,4,7,2,6,1] => [[[[.,.],.],[.,.]],[[.,.],.]]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [5,4,6,3,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [5,4,7,3,2,6,1] => [[[[[.,.],.],.],.],[[.,.],.]]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [5,4,2,6,3,7,1] => [[[[.,.],[.,.]],.],[.,[.,.]]]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [5,4,2,7,3,6,1] => [[[[.,.],[.,.]],.],[[.,.],.]]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [5,3,6,2,4,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [5,3,7,2,4,6,1] => [[[[.,.],.],[.,.]],[[.,.],.]]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [5,6,2,3,4,7,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]]
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [5,7,2,3,4,6,1] => [[[.,.],[.,[.,.]]],[[.,.],.]]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [6,3,4,5,7,2,1] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [6,3,5,7,4,2,1] => [[[[.,.],.],[[.,.],.]],[.,.]]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [6,4,5,3,7,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [6,5,4,7,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [6,5,7,3,4,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [6,4,2,5,7,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [6,5,2,7,4,3,1] => [[[[.,.],[[.,.],.]],.],[.,.]]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [6,3,5,2,7,4,1] => [[[[.,.],.],[[.,.],.]],[.,.]]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [6,5,2,3,7,4,1] => [[[[.,.],[.,[.,.]]],.],[.,.]]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [6,3,4,7,2,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [6,4,7,3,2,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [6,4,2,7,3,5,1] => [[[[.,.],[.,.]],[.,.]],[.,.]]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [6,3,7,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [6,7,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],[.,.]]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [7,3,4,5,6,2,1] => [[[[.,.],.],[.,[.,[.,.]]]],.]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [7,3,4,6,5,2,1] => [[[[.,.],.],[.,[[.,.],.]]],.]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [7,3,5,6,4,2,1] => [[[[.,.],.],[[.,.],[.,.]]],.]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [7,3,6,5,4,2,1] => [[[[.,.],.],[[[.,.],.],.]],.]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [7,3,6,4,5,2,1] => [[[[.,.],.],[[.,[.,.]],.]],.]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [7,4,5,3,6,2,1] => [[[[[.,.],.],.],[.,[.,.]]],.]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [7,4,6,3,5,2,1] => [[[[[.,.],.],.],[[.,.],.]],.]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [7,5,4,6,3,2,1] => [[[[[[.,.],.],.],.],[.,.]],.]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [7,5,6,3,4,2,1] => [[[[[.,.],.],[.,.]],[.,.]],.]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [7,6,4,5,3,2,1] => [[[[[[.,.],.],.],[.,.]],.],.]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [7,6,5,3,4,2,1] => [[[[[[.,.],.],[.,.]],.],.],.]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [7,6,4,3,5,2,1] => [[[[[[.,.],.],.],[.,.]],.],.]
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [7,6,3,4,5,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [7,4,2,5,6,3,1] => [[[[.,.],[.,.]],[.,[.,.]]],.]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [7,4,2,6,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [7,5,2,6,4,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [7,6,2,5,4,3,1] => [[[[.,.],[[[.,.],.],.]],.],.]
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [7,6,2,4,5,3,1] => [[[[.,.],[[.,.],[.,.]]],.],.]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [7,3,5,2,6,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [7,3,6,2,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [7,5,2,3,6,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.]
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [7,6,2,3,5,4,1] => [[[[.,.],[.,[[.,.],.]]],.],.]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [7,3,4,6,2,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [7,4,6,3,2,5,1] => [[[[[.,.],.],.],[[.,.],.]],.]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [7,4,2,6,3,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [7,3,6,2,4,5,1] => [[[[.,.],.],[[.,[.,.]],.]],.]
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [7,6,2,3,4,5,1] => [[[[.,.],[.,[.,[.,.]]]],.],.]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [7,3,4,5,2,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [7,3,5,4,2,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [7,4,5,3,2,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [7,5,4,3,2,6,1] => [[[[[[.,.],.],.],.],[.,.]],.]
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [7,5,3,4,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [7,4,2,5,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.]
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [7,5,2,4,3,6,1] => [[[[.,.],[[.,.],.]],[.,.]],.]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [7,3,5,2,4,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.]
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [7,5,2,3,4,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [7,3,4,2,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [7,4,3,2,5,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.]
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [7,4,2,3,5,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.]
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [7,3,2,4,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.]
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [7,2,3,4,5,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [3,1,4,5,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [3,1,4,5,7,6,2] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [3,1,4,6,7,5,2] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [3,1,4,7,6,5,2] => [[.,[.,.]],[.,[[[.,.],.],.]]]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [3,1,4,7,5,6,2] => [[.,[.,.]],[.,[[.,[.,.]],.]]]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [3,1,5,6,4,7,2] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [3,1,5,7,4,6,2] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [3,1,6,5,7,4,2] => [[.,[.,.]],[[[.,.],.],[.,.]]]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [3,1,6,7,4,5,2] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [3,1,7,5,6,4,2] => [[.,[.,.]],[[[.,.],[.,.]],.]]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [3,1,7,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [3,1,7,6,4,5,2] => [[.,[.,.]],[[[.,[.,.]],.],.]]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [3,1,7,5,4,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]]
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [3,1,7,4,5,6,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [4,1,5,3,6,7,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [4,1,5,3,7,6,2] => [[.,[[.,.],.]],[.,[[.,.],.]]]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [4,1,6,3,7,5,2] => [[.,[[.,.],.]],[[.,.],[.,.]]]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [4,1,7,3,6,5,2] => [[.,[[.,.],.]],[[[.,.],.],.]]
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [4,1,7,3,5,6,2] => [[.,[[.,.],.]],[[.,[.,.]],.]]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [5,1,4,6,3,7,2] => [[.,[[[.,.],.],.]],[.,[.,.]]]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [5,1,4,7,3,6,2] => [[.,[[[.,.],.],.]],[[.,.],.]]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [5,1,6,3,4,7,2] => [[.,[[.,.],[.,.]]],[.,[.,.]]]
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [5,1,7,3,4,6,2] => [[.,[[.,.],[.,.]]],[[.,.],.]]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [6,1,4,5,7,3,2] => [[.,[[[.,.],.],[.,.]]],[.,.]]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [6,1,5,7,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,.]]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [6,1,5,3,7,4,2] => [[.,[[[.,.],[.,.]],.]],[.,.]]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [6,1,4,7,3,5,2] => [[.,[[[.,.],.],[.,.]]],[.,.]]
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [6,1,7,3,4,5,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [7,1,4,5,6,3,2] => [[.,[[[.,.],.],[.,[.,.]]]],.]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [7,1,4,6,5,3,2] => [[.,[[[.,.],.],[[.,.],.]]],.]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [7,1,5,6,4,3,2] => [[.,[[[[.,.],.],.],[.,.]]],.]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [7,1,6,5,4,3,2] => [[.,[[[[[.,.],.],.],.],.]],.]
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [7,1,6,4,5,3,2] => [[.,[[[[.,.],.],[.,.]],.]],.]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [7,1,5,3,6,4,2] => [[.,[[[.,.],[.,.]],[.,.]]],.]
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [7,1,6,3,5,4,2] => [[.,[[[.,.],[[.,.],.]],.]],.]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [7,1,4,6,3,5,2] => [[.,[[[.,.],.],[[.,.],.]]],.]
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [7,1,6,3,4,5,2] => [[.,[[[.,.],[.,[.,.]]],.]],.]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [7,1,4,5,3,6,2] => [[.,[[[.,.],.],[.,[.,.]]]],.]
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [7,1,5,4,3,6,2] => [[.,[[[[.,.],.],.],[.,.]]],.]
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [7,1,5,3,4,6,2] => [[.,[[[.,.],[.,.]],[.,.]]],.]
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [7,1,4,3,5,6,2] => [[.,[[[.,.],.],[.,[.,.]]]],.]
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [7,1,3,4,5,6,2] => [[.,[[.,.],[.,[.,[.,.]]]]],.]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [2,4,1,5,6,7,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [2,4,1,5,7,6,3] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [2,4,1,6,7,5,3] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [2,4,1,7,6,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [2,4,1,7,5,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [2,5,1,6,4,7,3] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [2,5,1,7,4,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [2,6,1,5,7,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [2,6,1,7,4,5,3] => [[.,.],[[[.,.],[.,.]],[.,.]]]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [2,7,1,5,6,4,3] => [[.,.],[[[[.,.],.],[.,.]],.]]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [2,7,1,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [2,7,1,6,4,5,3] => [[.,.],[[[[.,.],[.,.]],.],.]]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [2,7,1,5,4,6,3] => [[.,.],[[[[.,.],.],[.,.]],.]]
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [2,7,1,4,5,6,3] => [[.,.],[[[.,.],[.,[.,.]]],.]]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [4,1,2,5,6,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [4,1,2,5,7,6,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [4,1,2,6,7,5,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [4,1,2,7,6,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]]
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [4,1,2,7,5,6,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [5,1,2,6,4,7,3] => [[.,[.,[[.,.],.]]],[.,[.,.]]]
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [5,1,2,7,4,6,3] => [[.,[.,[[.,.],.]]],[[.,.],.]]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [6,1,2,5,7,4,3] => [[.,[.,[[[.,.],.],.]]],[.,.]]
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [6,1,2,7,4,5,3] => [[.,[.,[[.,.],[.,.]]]],[.,.]]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [7,1,2,5,6,4,3] => [[.,[.,[[[.,.],.],[.,.]]]],.]
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [7,1,2,6,5,4,3] => [[.,[.,[[[[.,.],.],.],.]]],.]
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [7,1,2,6,4,5,3] => [[.,[.,[[[.,.],[.,.]],.]]],.]
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [7,1,2,5,4,6,3] => [[.,[.,[[[.,.],.],[.,.]]]],.]
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [7,1,2,4,5,6,3] => [[.,[.,[[.,.],[.,[.,.]]]]],.]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [2,3,5,1,6,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [2,3,5,1,7,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [2,3,6,1,7,5,4] => [[.,.],[.,[[[.,.],.],[.,.]]]]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [2,3,7,1,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [2,3,7,1,5,6,4] => [[.,.],[.,[[[.,.],[.,.]],.]]]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [3,5,2,1,6,7,4] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [3,5,2,1,7,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [3,6,2,1,7,5,4] => [[[.,.],.],[[[.,.],.],[.,.]]]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [3,7,2,1,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]]
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [3,7,2,1,5,6,4] => [[[.,.],.],[[[.,.],[.,.]],.]]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [3,1,5,2,6,7,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [3,1,5,2,7,6,4] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [3,1,6,2,7,5,4] => [[.,[.,.]],[[[.,.],.],[.,.]]]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [3,1,7,2,6,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]]
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [3,1,7,2,5,6,4] => [[.,[.,.]],[[[.,.],[.,.]],.]]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [2,5,1,3,6,7,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [2,5,1,3,7,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [2,6,1,3,7,5,4] => [[.,.],[[.,[[.,.],.]],[.,.]]]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [2,7,1,3,6,5,4] => [[.,.],[[.,[[[.,.],.],.]],.]]
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [2,7,1,3,5,6,4] => [[.,.],[[.,[[.,.],[.,.]]],.]]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [5,1,2,3,6,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [5,1,2,3,7,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [6,1,2,3,7,5,4] => [[.,[.,[.,[[.,.],.]]]],[.,.]]
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [7,1,2,3,6,5,4] => [[.,[.,[.,[[[.,.],.],.]]]],.]
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [7,1,2,3,5,6,4] => [[.,[.,[.,[[.,.],[.,.]]]]],.]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [2,3,4,6,1,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [2,3,4,7,1,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [2,4,6,3,1,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [2,4,7,3,1,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [3,4,2,6,1,7,5] => [[[.,.],.],[.,[[.,.],[.,.]]]]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [3,4,2,7,1,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [4,3,6,2,1,7,5] => [[[[.,.],.],.],[[.,.],[.,.]]]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [4,3,7,2,1,6,5] => [[[[.,.],.],.],[[[.,.],.],.]]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [4,6,2,3,1,7,5] => [[[.,.],[.,.]],[[.,.],[.,.]]]
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [4,7,2,3,1,6,5] => [[[.,.],[.,.]],[[[.,.],.],.]]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [3,1,4,6,2,7,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [3,1,4,7,2,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [4,1,6,3,2,7,5] => [[.,[[.,.],.]],[[.,.],[.,.]]]
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [4,1,7,3,2,6,5] => [[.,[[.,.],.]],[[[.,.],.],.]]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [2,4,1,6,3,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [2,4,1,7,3,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [4,1,2,6,3,7,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [4,1,2,7,3,6,5] => [[.,[.,[.,.]]],[[[.,.],.],.]]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [2,3,6,1,4,7,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [2,3,7,1,4,6,5] => [[.,.],[.,[[.,[[.,.],.]],.]]]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [3,6,2,1,4,7,5] => [[[.,.],.],[[.,[.,.]],[.,.]]]
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [3,7,2,1,4,6,5] => [[[.,.],.],[[.,[[.,.],.]],.]]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [3,1,6,2,4,7,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [3,1,7,2,4,6,5] => [[.,[.,.]],[[.,[[.,.],.]],.]]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [2,6,1,3,4,7,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [2,7,1,3,4,6,5] => [[.,.],[[.,[.,[[.,.],.]]],.]]
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [6,1,2,3,4,7,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [7,1,2,3,4,6,5] => [[.,[.,[.,[.,[[.,.],.]]]]],.]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [2,3,4,5,7,1,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [2,3,5,7,4,1,6] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [2,4,5,3,7,1,6] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [2,5,4,7,3,1,6] => [[.,.],[[[.,.],.],[[.,.],.]]]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [2,5,7,3,4,1,6] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [3,4,2,5,7,1,6] => [[[.,.],.],[.,[.,[[.,.],.]]]]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [3,5,2,7,4,1,6] => [[[.,.],.],[[.,.],[[.,.],.]]]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [4,3,5,2,7,1,6] => [[[[.,.],.],.],[.,[[.,.],.]]]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [4,5,2,3,7,1,6] => [[[.,.],[.,.]],[.,[[.,.],.]]]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [5,3,4,7,2,1,6] => [[[[.,.],.],[.,.]],[[.,.],.]]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [5,4,7,3,2,1,6] => [[[[[.,.],.],.],.],[[.,.],.]]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [5,4,2,7,3,1,6] => [[[[.,.],[.,.]],.],[[.,.],.]]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [5,3,7,2,4,1,6] => [[[[.,.],.],[.,.]],[[.,.],.]]
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [5,7,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[[.,.],.]]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [3,1,4,5,7,2,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [3,1,5,7,4,2,6] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [4,1,5,3,7,2,6] => [[.,[[.,.],.]],[.,[[.,.],.]]]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [5,1,4,7,3,2,6] => [[.,[[[.,.],.],.]],[[.,.],.]]
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [5,1,7,3,4,2,6] => [[.,[[.,.],[.,.]]],[[.,.],.]]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [2,4,1,5,7,3,6] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [2,5,1,7,4,3,6] => [[.,.],[[[.,.],.],[[.,.],.]]]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [4,1,2,5,7,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [5,1,2,7,4,3,6] => [[.,[.,[[.,.],.]]],[[.,.],.]]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [2,3,5,1,7,4,6] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [3,5,2,1,7,4,6] => [[[.,.],.],[[.,.],[[.,.],.]]]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [3,1,5,2,7,4,6] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [2,5,1,3,7,4,6] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [5,1,2,3,7,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [2,3,4,7,1,5,6] => [[.,.],[.,[.,[[.,[.,.]],.]]]]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [2,4,7,3,1,5,6] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [3,4,2,7,1,5,6] => [[[.,.],.],[.,[[.,[.,.]],.]]]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [4,3,7,2,1,5,6] => [[[[.,.],.],.],[[.,[.,.]],.]]
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [4,7,2,3,1,5,6] => [[[.,.],[.,.]],[[.,[.,.]],.]]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [3,1,4,7,2,5,6] => [[.,[.,.]],[.,[[.,[.,.]],.]]]
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [4,1,7,3,2,5,6] => [[.,[[.,.],.]],[[.,[.,.]],.]]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [2,4,1,7,3,5,6] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [4,1,2,7,3,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],.]]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [2,3,7,1,4,5,6] => [[.,.],[.,[[.,[.,[.,.]]],.]]]
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [3,7,2,1,4,5,6] => [[[.,.],.],[[.,[.,[.,.]]],.]]
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,1,7,2,4,5,6] => [[.,[.,.]],[[.,[.,[.,.]]],.]]
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [2,7,1,3,4,5,6] => [[.,.],[[.,[.,[.,[.,.]]]],.]]
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [2,3,4,5,6,1,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [2,3,4,6,5,1,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [2,3,5,6,4,1,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [2,3,6,5,4,1,7] => [[.,.],[.,[[[.,.],.],[.,.]]]]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [2,3,6,4,5,1,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [2,4,5,3,6,1,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [2,4,6,3,5,1,7] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [2,5,4,6,3,1,7] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [2,5,6,3,4,1,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [2,6,4,5,3,1,7] => [[.,.],[[[.,.],[.,.]],[.,.]]]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [2,6,5,4,3,1,7] => [[.,.],[[[[.,.],.],.],[.,.]]]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [2,6,5,3,4,1,7] => [[.,.],[[[.,[.,.]],.],[.,.]]]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [2,6,4,3,5,1,7] => [[.,.],[[[.,.],[.,.]],[.,.]]]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [2,6,3,4,5,1,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [3,4,2,5,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [3,4,2,6,5,1,7] => [[[.,.],.],[.,[[.,.],[.,.]]]]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [3,5,2,6,4,1,7] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [3,6,2,5,4,1,7] => [[[.,.],.],[[[.,.],.],[.,.]]]
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [3,6,2,4,5,1,7] => [[[.,.],.],[[.,[.,.]],[.,.]]]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [4,3,5,2,6,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [4,3,6,2,5,1,7] => [[[[.,.],.],.],[[.,.],[.,.]]]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [4,5,2,3,6,1,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]]
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [4,6,2,3,5,1,7] => [[[.,.],[.,.]],[[.,.],[.,.]]]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [5,3,4,6,2,1,7] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [5,4,6,3,2,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [5,4,2,6,3,1,7] => [[[[.,.],[.,.]],.],[.,[.,.]]]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [5,3,6,2,4,1,7] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [5,6,2,3,4,1,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [6,3,4,5,2,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [6,3,5,4,2,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [6,4,5,3,2,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]]
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [6,5,3,4,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [6,4,2,5,3,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]]
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [6,5,2,4,3,1,7] => [[[[.,.],[[.,.],.]],.],[.,.]]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [6,3,5,2,4,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]]
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [6,5,2,3,4,1,7] => [[[[.,.],[.,[.,.]]],.],[.,.]]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [6,3,4,2,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [6,4,3,2,5,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]]
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [6,4,2,3,5,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]]
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [6,3,2,4,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [6,2,3,4,5,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [3,1,4,5,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [3,1,4,6,5,2,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [3,1,5,6,4,2,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [3,1,6,5,4,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]]
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [3,1,6,4,5,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [4,1,5,3,6,2,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]]
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [4,1,6,3,5,2,7] => [[.,[[.,.],.]],[[.,.],[.,.]]]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [5,1,4,6,3,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]]
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [5,1,6,3,4,2,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [6,1,4,5,3,2,7] => [[.,[[[.,.],.],[.,.]]],[.,.]]
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [6,1,5,4,3,2,7] => [[.,[[[[.,.],.],.],.]],[.,.]]
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [6,1,5,3,4,2,7] => [[.,[[[.,.],[.,.]],.]],[.,.]]
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [6,1,4,3,5,2,7] => [[.,[[[.,.],.],[.,.]]],[.,.]]
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [6,1,3,4,5,2,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [2,4,1,5,6,3,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [2,4,1,6,5,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [2,5,1,6,4,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [2,6,1,5,4,3,7] => [[.,.],[[[[.,.],.],.],[.,.]]]
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [2,6,1,4,5,3,7] => [[.,.],[[[.,.],[.,.]],[.,.]]]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [4,1,2,5,6,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [4,1,2,6,5,3,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [5,1,2,6,4,3,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]]
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [6,1,2,5,4,3,7] => [[.,[.,[[[.,.],.],.]]],[.,.]]
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [6,1,2,4,5,3,7] => [[.,[.,[[.,.],[.,.]]]],[.,.]]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [2,3,5,1,6,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [2,3,6,1,5,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [3,5,2,1,6,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [3,6,2,1,5,4,7] => [[[.,.],.],[[[.,.],.],[.,.]]]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [3,1,5,2,6,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [3,1,6,2,5,4,7] => [[.,[.,.]],[[[.,.],.],[.,.]]]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [2,5,1,3,6,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [2,6,1,3,5,4,7] => [[.,.],[[.,[[.,.],.]],[.,.]]]
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [5,1,2,3,6,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [6,1,2,3,5,4,7] => [[.,[.,[.,[[.,.],.]]]],[.,.]]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [2,3,4,6,1,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [2,4,6,3,1,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [3,4,2,6,1,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [4,3,6,2,1,5,7] => [[[[.,.],.],.],[[.,.],[.,.]]]
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [4,6,2,3,1,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [3,1,4,6,2,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [4,1,6,3,2,5,7] => [[.,[[.,.],.]],[[.,.],[.,.]]]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [2,4,1,6,3,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [4,1,2,6,3,5,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [2,3,6,1,4,5,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [3,6,2,1,4,5,7] => [[[.,.],.],[[.,[.,.]],[.,.]]]
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [3,1,6,2,4,5,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [2,6,1,3,4,5,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [2,3,4,5,1,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [2,3,5,4,1,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [2,4,5,3,1,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [2,5,4,3,1,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [2,5,3,4,1,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [3,4,2,5,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]]
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [3,5,2,4,1,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [4,3,5,2,1,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]]
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [4,5,2,3,1,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [5,3,4,2,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,4,3,2,1,6,7] => [[[[[.,.],.],.],.],[.,[.,.]]]
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [5,4,2,3,1,6,7] => [[[[.,.],[.,.]],.],[.,[.,.]]]
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [5,3,2,4,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [5,2,3,4,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [3,1,4,5,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [3,1,5,4,2,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [4,1,5,3,2,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]]
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [5,1,4,3,2,6,7] => [[.,[[[.,.],.],.]],[.,[.,.]]]
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [5,1,3,4,2,6,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [2,4,1,5,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [2,5,1,4,3,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [4,1,2,5,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [5,1,2,4,3,6,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [2,3,5,1,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [3,5,2,1,4,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [3,1,5,2,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [2,5,1,3,4,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [2,3,4,1,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [2,4,3,1,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [3,4,2,1,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]]
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [4,3,2,1,5,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]]
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [4,2,3,1,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]]
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [3,1,4,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]]
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [2,4,1,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]]
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [2,3,4,5,6,8,7,1] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [2,3,4,5,7,8,6,1] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [2,3,4,5,8,7,6,1] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [2,3,4,5,8,6,7,1] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [2,3,4,6,7,5,8,1] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [2,3,4,6,8,5,7,1] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [2,3,4,7,6,8,5,1] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [2,3,4,7,8,5,6,1] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [2,3,4,8,6,7,5,1] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [2,3,4,8,7,6,5,1] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [2,3,4,8,7,5,6,1] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [2,3,4,8,6,5,7,1] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [2,3,4,8,5,6,7,1] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [2,3,5,6,4,7,8,1] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [2,3,5,6,4,8,7,1] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [2,3,5,7,4,8,6,1] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [6,7,8,4,5,3,2,1] => [2,3,5,8,4,6,7,1] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [7,8,5,4,6,3,2,1] => [2,3,6,5,8,4,7,1] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [2,3,6,7,4,5,8,1] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [7,8,4,5,6,3,2,1] => [2,3,6,8,4,5,7,1] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [2,3,7,5,6,8,4,1] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [8,5,4,6,7,3,2,1] => [2,3,7,5,8,4,6,1] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [2,3,8,5,6,7,4,1] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [2,3,8,5,7,6,4,1] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [2,3,8,6,7,5,4,1] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [2,3,8,7,6,5,4,1] => [[.,.],[.,[[[[[.,.],.],.],.],.]]]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [2,3,8,7,4,5,6,1] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [2,3,8,5,6,4,7,1] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [2,3,8,6,5,4,7,1] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [2,3,8,6,4,5,7,1] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [2,3,8,5,4,6,7,1] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [2,3,8,4,5,6,7,1] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [2,4,5,3,6,7,8,1] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [2,4,5,3,6,8,7,1] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [2,4,5,3,7,8,6,1] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [2,4,5,3,8,7,6,1] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [6,7,8,5,3,4,2,1] => [2,4,5,3,8,6,7,1] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [2,4,6,3,7,5,8,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [2,4,6,3,8,5,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [8,5,6,7,3,4,2,1] => [2,4,7,3,8,5,6,1] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [6,7,5,8,3,4,2,1] => [2,4,8,3,7,6,5,1] => [[.,.],[[.,.],[[[[.,.],.],.],.]]]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [7,5,6,8,3,4,2,1] => [2,4,8,3,7,5,6,1] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [2,4,8,3,6,5,7,1] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [2,4,8,3,5,6,7,1] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [7,6,8,4,3,5,2,1] => [2,5,4,8,3,7,6,1] => [[.,.],[[[.,.],.],[[[.,.],.],.]]]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [2,5,4,8,3,6,7,1] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [2,5,6,3,4,7,8,1] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [7,8,6,3,4,5,2,1] => [2,5,6,3,4,8,7,1] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [8,6,7,3,4,5,2,1] => [2,5,7,3,4,8,6,1] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [2,5,8,3,4,6,7,1] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [2,6,4,5,7,3,8,1] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [2,6,4,5,8,3,7,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [8,7,4,5,3,6,2,1] => [2,6,5,7,4,3,8,1] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [8,7,5,3,4,6,2,1] => [2,6,5,3,7,4,8,1] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [7,8,5,3,4,6,2,1] => [2,6,5,3,8,4,7,1] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [2,6,4,7,3,5,8,1] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [7,8,4,3,5,6,2,1] => [2,6,4,8,3,5,7,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [2,7,4,5,6,8,3,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [8,5,6,4,3,7,2,1] => [2,7,4,6,8,5,3,1] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [8,5,6,3,4,7,2,1] => [2,7,6,3,8,5,4,1] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [2,7,4,6,3,8,5,1] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [2,7,4,5,8,3,6,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [8,4,3,5,6,7,2,1] => [2,7,4,8,3,5,6,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [2,7,8,3,4,5,6,1] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [2,8,4,5,6,7,3,1] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [2,8,4,7,6,5,3,1] => [[.,.],[[[.,.],[[[.,.],.],.]],.]]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [2,8,7,5,6,4,3,1] => [[.,.],[[[[[.,.],.],[.,.]],.],.]]
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [5,6,4,7,3,8,2,1] => [2,8,7,6,5,4,3,1] => [[.,.],[[[[[[.,.],.],.],.],.],.]]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [2,8,7,6,4,5,3,1] => [[.,.],[[[[[.,.],[.,.]],.],.],.]]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [2,8,7,5,4,6,3,1] => [[.,.],[[[[[.,.],.],[.,.]],.],.]]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [2,8,7,4,5,6,3,1] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [7,5,4,3,6,8,2,1] => [2,8,4,5,7,3,6,1] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]]
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [7,4,3,5,6,8,2,1] => [2,8,4,7,3,5,6,1] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [2,8,7,3,4,5,6,1] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [2,8,4,5,6,3,7,1] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [5,6,4,3,7,8,2,1] => [2,8,4,6,5,3,7,1] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [6,5,3,4,7,8,2,1] => [2,8,5,3,6,4,7,1] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [2,8,6,3,4,5,7,1] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [2,8,4,5,3,6,7,1] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [4,5,3,6,7,8,2,1] => [2,8,5,4,3,6,7,1] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [5,3,4,6,7,8,2,1] => [2,8,5,3,4,6,7,1] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [2,8,4,3,5,6,7,1] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [2,8,3,4,5,6,7,1] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [3,4,2,5,6,7,8,1] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [3,4,2,5,6,8,7,1] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [3,4,2,5,7,8,6,1] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [3,4,2,5,8,7,6,1] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [3,4,2,6,7,5,8,1] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,2,3,1] => [3,4,2,6,8,5,7,1] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,2,3,1] => [3,4,2,8,6,7,5,1] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [3,4,2,8,7,6,5,1] => [[[.,.],.],[.,[[[[.,.],.],.],.]]]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [3,4,2,8,5,6,7,1] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [3,5,2,6,4,7,8,1] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,2,3,1] => [3,5,2,6,4,8,7,1] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [3,5,2,7,4,8,6,1] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,2,3,1] => [3,5,2,8,4,7,6,1] => [[[.,.],.],[[.,.],[[[.,.],.],.]]]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,2,3,1] => [3,5,2,8,4,6,7,1] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [3,6,2,5,7,4,8,1] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [3,6,2,8,4,5,7,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [3,7,2,6,8,5,4,1] => [[[.,.],.],[[[[.,.],.],.],[.,.]]]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [8,4,5,6,7,2,3,1] => [3,7,2,8,4,5,6,1] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [3,8,2,6,7,5,4,1] => [[[.,.],.],[[[[.,.],.],[.,.]],.]]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [3,8,2,7,6,5,4,1] => [[[.,.],.],[[[[[.,.],.],.],.],.]]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,2,3,1] => [3,8,2,5,7,4,6,1] => [[[.,.],.],[[[.,.],[[.,.],.]],.]]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,2,3,1] => [3,8,2,5,4,6,7,1] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]]
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [3,8,2,4,5,6,7,1] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [4,3,5,2,6,7,8,1] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [4,3,5,2,8,7,6,1] => [[[[.,.],.],.],[.,[[[.,.],.],.]]]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [4,3,5,2,8,6,7,1] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [4,3,6,2,7,5,8,1] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,2,4,1] => [4,3,6,2,8,5,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [4,3,7,2,6,8,5,1] => [[[[.,.],.],.],[[[.,.],.],[.,.]]]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,2,4,1] => [4,3,7,2,8,5,6,1] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [4,3,8,2,6,7,5,1] => [[[[.,.],.],.],[[[.,.],[.,.]],.]]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [4,3,8,2,7,6,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,2,4,1] => [4,3,8,2,7,5,6,1] => [[[[.,.],.],.],[[[.,[.,.]],.],.]]
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,2,4,1] => [4,3,8,2,6,5,7,1] => [[[[.,.],.],.],[[[.,.],[.,.]],.]]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [4,3,8,2,5,6,7,1] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [4,5,2,3,6,7,8,1] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [4,5,2,3,8,6,7,1] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,2,3,4,1] => [4,6,2,3,7,5,8,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [4,7,2,3,8,5,6,1] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [6,5,7,8,2,3,4,1] => [4,8,2,3,6,5,7,1] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [4,8,2,3,5,6,7,1] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [7,8,6,4,3,2,5,1] => [5,3,4,6,2,8,7,1] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [5,3,4,8,2,7,6,1] => [[[[.,.],.],[.,.]],[[[.,.],.],.]]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [6,7,8,4,3,2,5,1] => [5,3,4,8,2,6,7,1] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [5,4,6,3,2,7,8,1] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [7,8,6,3,4,2,5,1] => [5,4,6,3,2,8,7,1] => [[[[[.,.],.],.],.],[.,[[.,.],.]]]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [5,4,7,3,2,8,6,1] => [[[[[.,.],.],.],.],[[.,.],[.,.]]]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [5,4,8,3,2,7,6,1] => [[[[[.,.],.],.],.],[[[.,.],.],.]]
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [5,4,8,3,2,6,7,1] => [[[[[.,.],.],.],.],[[.,[.,.]],.]]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,2,3,5,1] => [5,4,2,6,3,7,8,1] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,2,3,5,1] => [5,4,2,6,3,8,7,1] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [5,4,2,8,3,6,7,1] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [5,3,6,2,4,7,8,1] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [5,3,6,2,4,8,7,1] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [8,6,7,3,2,4,5,1] => [5,3,7,2,4,8,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [5,3,8,2,4,6,7,1] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [5,7,2,3,4,8,6,1] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [7,6,8,2,3,4,5,1] => [5,8,2,3,4,7,6,1] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [5,8,2,3,4,6,7,1] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [6,3,4,5,7,2,8,1] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [6,3,4,5,8,2,7,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [6,4,5,3,7,2,8,1] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [6,4,5,3,8,2,7,1] => [[[[[.,.],.],.],[.,.]],[[.,.],.]]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [6,5,4,7,3,2,8,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [7,8,4,3,5,2,6,1] => [6,5,4,8,3,2,7,1] => [[[[[[.,.],.],.],.],.],[[.,.],.]]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [7,8,3,4,5,2,6,1] => [6,5,8,3,4,2,7,1] => [[[[[.,.],.],[.,.]],.],[[.,.],.]]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [7,8,5,2,3,4,6,1] => [6,5,2,3,8,4,7,1] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [7,8,4,3,2,5,6,1] => [6,3,4,8,2,5,7,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [8,7,3,4,2,5,6,1] => [6,4,7,3,2,5,8,1] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [6,3,8,2,4,5,7,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [6,7,2,3,4,5,8,1] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [7,3,4,5,6,8,2,1] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [7,4,6,3,8,5,2,1] => [[[[[.,.],.],.],[[.,.],.]],[.,.]]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [7,5,4,6,3,8,2,1] => [[[[[[.,.],.],.],.],[.,.]],[.,.]]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [7,6,4,5,8,3,2,1] => [[[[[[.,.],.],.],[.,.]],.],[.,.]]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [7,6,5,8,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [7,6,8,3,4,5,2,1] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [8,5,6,4,2,3,7,1] => [7,4,2,6,8,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,2,3,7,1] => [7,6,2,5,8,4,3,1] => [[[[.,.],[[[.,.],.],.]],.],[.,.]]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [7,6,2,3,4,8,5,1] => [[[[.,.],[.,[.,[.,.]]]],.],[.,.]]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [7,3,4,5,8,2,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [7,4,5,3,8,2,6,1] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [8,4,3,5,2,6,7,1] => [7,5,4,8,3,2,6,1] => [[[[[[.,.],.],.],.],[.,.]],[.,.]]
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [7,5,8,3,4,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [8,5,4,2,3,6,7,1] => [7,4,2,5,8,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [8,5,2,3,4,6,7,1] => [7,5,2,3,8,4,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [7,4,8,3,2,5,6,1] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [7,3,8,2,4,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [7,8,2,3,4,5,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [8,3,4,5,6,7,2,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [8,3,4,5,7,6,2,1] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [8,3,4,7,6,5,2,1] => [[[[.,.],.],[.,[[[.,.],.],.]]],.]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [8,3,5,6,4,7,2,1] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [7,5,4,6,3,2,8,1] => [8,3,6,5,7,4,2,1] => [[[[.,.],.],[[[.,.],.],[.,.]]],.]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [8,3,7,5,6,4,2,1] => [[[[.,.],.],[[[.,.],[.,.]],.]],.]
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [5,6,4,7,3,2,8,1] => [8,3,7,6,5,4,2,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.]
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [5,4,6,7,3,2,8,1] => [8,3,7,5,4,6,2,1] => [[[[.,.],.],[[[.,.],[.,.]],.]],.]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [8,3,7,4,5,6,2,1] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [8,4,6,3,7,5,2,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [8,4,7,3,6,5,2,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [5,6,7,3,4,2,8,1] => [8,4,7,3,5,6,2,1] => [[[[[.,.],.],.],[[.,[.,.]],.]],.]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [7,6,4,3,5,2,8,1] => [8,5,4,6,3,7,2,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.]
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [6,7,4,3,5,2,8,1] => [8,5,4,7,3,6,2,1] => [[[[[[.,.],.],.],.],[[.,.],.]],.]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [8,6,4,5,7,3,2,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [8,6,5,7,4,3,2,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [7,5,3,4,6,2,8,1] => [8,6,5,3,7,4,2,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [7,3,4,5,6,2,8,1] => [8,6,7,3,4,5,2,1] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [8,7,4,5,6,3,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.]
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [5,6,4,3,7,2,8,1] => [8,7,4,6,5,3,2,1] => [[[[[[.,.],.],.],[[.,.],.]],.],.]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [8,7,5,6,4,3,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [8,7,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],.]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [8,7,6,4,5,3,2,1] => [[[[[[[.,.],.],.],[.,.]],.],.],.]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [8,7,5,3,6,4,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [8,7,6,3,5,4,2,1] => [[[[[[.,.],.],[[.,.],.]],.],.],.]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [8,7,4,6,3,5,2,1] => [[[[[[.,.],.],.],[[.,.],.]],.],.]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [6,3,4,5,7,2,8,1] => [8,7,6,3,4,5,2,1] => [[[[[[.,.],.],[.,[.,.]]],.],.],.]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [8,7,4,5,3,6,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [8,7,5,4,3,6,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [5,3,4,6,7,2,8,1] => [8,7,5,3,4,6,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [8,7,4,3,5,6,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.]
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [8,7,3,4,5,6,2,1] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [8,4,2,5,6,7,3,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [8,4,2,5,7,6,3,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,2,3,8,1] => [8,4,2,6,7,5,3,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [8,5,2,7,4,6,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,2,3,8,1] => [8,6,2,5,7,4,3,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [7,4,5,6,2,3,8,1] => [8,6,2,7,4,5,3,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,2,3,8,1] => [8,7,2,5,6,4,3,1] => [[[[.,.],[[[.,.],.],[.,.]]],.],.]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [8,7,2,6,4,5,3,1] => [[[[.,.],[[[.,.],[.,.]],.]],.],.]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [8,7,2,4,5,6,3,1] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [7,5,6,3,2,4,8,1] => [8,3,6,2,7,5,4,1] => [[[[.,.],.],[[[.,.],.],[.,.]]],.]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [6,5,7,3,2,4,8,1] => [8,3,7,2,6,5,4,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [8,5,2,3,6,7,4,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [7,5,6,2,3,4,8,1] => [8,6,2,3,7,5,4,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [8,3,4,7,2,6,5,1] => [[[[.,.],.],[.,[[[.,.],.],.]]],.]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [7,6,4,2,3,5,8,1] => [8,4,2,6,3,7,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [8,3,6,2,4,7,5,1] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [7,4,5,3,2,6,8,1] => [8,3,5,7,4,2,6,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.]
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [7,5,3,4,2,6,8,1] => [8,4,5,3,7,2,6,1] => [[[[[.,.],.],.],[.,[[.,.],.]]],.]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [7,3,4,5,2,6,8,1] => [8,5,7,3,4,2,6,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [8,4,2,5,7,3,6,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [8,3,5,2,7,4,6,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [7,5,2,3,4,6,8,1] => [8,5,2,3,7,4,6,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [7,4,3,2,5,6,8,1] => [8,3,4,7,2,5,6,1] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [7,3,4,2,5,6,8,1] => [8,4,7,3,2,5,6,1] => [[[[[.,.],.],.],[[.,[.,.]],.]],.]
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [7,4,2,3,5,6,8,1] => [8,4,2,7,3,5,6,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [8,3,7,2,4,5,6,1] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [8,7,2,3,4,5,6,1] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [8,3,4,5,6,2,7,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [8,3,6,5,4,2,7,1] => [[[[.,.],.],[[[.,.],.],[.,.]]],.]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [8,3,6,4,5,2,7,1] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [6,5,3,4,2,7,8,1] => [8,4,5,3,6,2,7,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [5,6,3,4,2,7,8,1] => [8,4,6,3,5,2,7,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.]
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [6,4,3,5,2,7,8,1] => [8,5,4,6,3,2,7,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [8,5,6,3,4,2,7,1] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [8,6,4,5,3,2,7,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.]
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [4,5,3,6,2,7,8,1] => [8,6,5,4,3,2,7,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [5,3,4,6,2,7,8,1] => [8,6,5,3,4,2,7,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [8,6,4,3,5,2,7,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.]
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [8,6,3,4,5,2,7,1] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [6,5,4,2,3,7,8,1] => [8,4,2,5,6,3,7,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [5,6,4,2,3,7,8,1] => [8,4,2,6,5,3,7,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [5,4,6,2,3,7,8,1] => [8,6,2,5,4,3,7,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.]
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [4,5,6,2,3,7,8,1] => [8,6,2,4,5,3,7,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [6,3,2,4,5,7,8,1] => [8,3,6,2,4,5,7,1] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [8,6,2,3,4,5,7,1] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [8,3,4,5,2,6,7,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [8,3,5,4,2,6,7,1] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [8,4,5,3,2,6,7,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [8,5,4,3,2,6,7,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.]
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [8,5,3,4,2,6,7,1] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [5,4,2,3,6,7,8,1] => [8,4,2,5,3,6,7,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [8,3,4,2,5,6,7,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [8,4,3,2,5,6,7,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [8,4,2,3,5,6,7,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [8,3,2,4,5,6,7,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [3,1,4,5,6,8,7,2] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [3,1,4,5,7,8,6,2] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [3,1,4,5,8,6,7,2] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [3,1,4,6,7,5,8,2] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [3,1,4,6,8,5,7,2] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [3,1,4,7,6,8,5,2] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,3,1,2] => [3,1,4,8,7,6,5,2] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [3,1,4,8,6,5,7,2] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [3,1,4,8,5,6,7,2] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [3,1,5,6,4,7,8,2] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [3,1,5,6,4,8,7,2] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [3,1,5,7,4,8,6,2] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [3,1,6,5,7,4,8,2] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,3,1,2] => [3,1,6,8,4,5,7,2] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,3,1,2] => [3,1,7,6,4,8,5,2] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,3,1,2] => [3,1,8,6,7,5,4,2] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,3,1,2] => [3,1,8,7,6,5,4,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,3,1,2] => [3,1,8,6,4,7,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,3,1,2] => [3,1,8,5,7,4,6,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,3,1,2] => [3,1,8,5,4,6,7,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [3,1,8,4,5,6,7,2] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [4,1,5,3,6,7,8,2] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [4,1,5,3,6,8,7,2] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,4,1,2] => [4,1,5,3,8,7,6,2] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [4,1,5,3,8,6,7,2] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [4,1,6,3,7,5,8,2] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [4,1,6,3,8,5,7,2] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,4,1,2] => [4,1,7,3,6,8,5,2] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [4,1,7,3,8,5,6,2] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [4,1,8,3,6,7,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [4,1,8,3,7,5,6,2] => [[.,[[.,.],.]],[[[.,[.,.]],.],.]]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [4,1,8,3,6,5,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [4,1,8,3,5,6,7,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,3,5,1,2] => [5,1,4,8,3,7,6,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [5,1,6,3,4,7,8,2] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [5,1,7,3,4,8,6,2] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [6,7,8,3,4,5,1,2] => [5,1,8,3,4,6,7,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [6,1,4,5,8,3,7,2] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [6,1,5,3,8,4,7,2] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [6,1,4,8,3,5,7,2] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [6,1,8,3,4,5,7,2] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,3,7,1,2] => [7,1,4,5,6,8,3,2] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,3,7,1,2] => [7,1,6,5,8,4,3,2] => [[.,[[[[[.,.],.],.],.],.]],[.,.]]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [8,6,4,3,5,7,1,2] => [7,1,4,6,3,8,5,2] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [8,5,3,4,6,7,1,2] => [7,1,5,3,8,4,6,2] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [7,1,4,8,3,5,6,2] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [7,1,8,3,4,5,6,2] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [8,1,4,5,6,7,3,2] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,3,8,1,2] => [8,1,4,5,7,6,3,2] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [8,1,4,7,6,5,3,2] => [[.,[[[.,.],.],[[[.,.],.],.]]],.]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,3,8,1,2] => [8,1,5,6,4,7,3,2] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [8,1,5,7,4,6,3,2] => [[.,[[[[.,.],.],.],[[.,.],.]]],.]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [7,4,5,6,3,8,1,2] => [8,1,6,7,4,5,3,2] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [8,1,7,5,6,4,3,2] => [[.,[[[[[.,.],.],.],[.,.]],.]],.]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [8,1,7,6,5,4,3,2] => [[.,[[[[[[.,.],.],.],.],.],.]],.]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [6,4,5,7,3,8,1,2] => [8,1,7,6,4,5,3,2] => [[.,[[[[[.,.],.],[.,.]],.],.]],.]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [7,5,6,3,4,8,1,2] => [8,1,6,3,7,5,4,2] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [6,5,7,3,4,8,1,2] => [8,1,7,3,6,5,4,2] => [[.,[[[.,.],[[[.,.],.],.]],.]],.]
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [5,6,7,3,4,8,1,2] => [8,1,7,3,5,6,4,2] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.]
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [7,6,4,3,5,8,1,2] => [8,1,4,6,3,7,5,2] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [6,7,4,3,5,8,1,2] => [8,1,4,7,3,6,5,2] => [[.,[[[.,.],.],[[[.,.],.],.]]],.]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [7,5,4,3,6,8,1,2] => [8,1,4,5,7,3,6,2] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [7,5,3,4,6,8,1,2] => [8,1,5,3,7,4,6,2] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [8,1,7,3,4,5,6,2] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [8,1,4,5,6,3,7,2] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [5,6,4,3,7,8,1,2] => [8,1,4,6,5,3,7,2] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [6,5,3,4,7,8,1,2] => [8,1,5,3,6,4,7,2] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [8,1,6,3,5,4,7,2] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [8,1,4,6,3,5,7,2] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [8,1,6,3,4,5,7,2] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [8,1,4,5,3,6,7,2] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [8,1,5,4,3,6,7,2] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [8,1,4,3,5,6,7,2] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [8,1,3,4,5,6,7,2] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,3] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [2,4,1,5,8,7,6,3] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [8,7,5,6,4,2,1,3] => [2,4,1,6,7,5,8,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [2,4,1,6,8,5,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,2,1,3] => [2,4,1,7,6,8,5,3] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [2,4,1,8,6,7,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,2,1,3] => [2,4,1,8,7,6,5,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [2,4,1,8,5,6,7,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [7,6,8,4,5,2,1,3] => [2,5,1,8,4,7,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,2,1,3] => [2,5,1,8,4,6,7,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,2,1,3] => [2,6,1,5,7,4,8,3] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,2,1,3] => [2,6,1,5,8,4,7,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,2,1,3] => [2,6,1,8,4,5,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,2,1,3] => [2,7,1,5,6,8,4,3] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [2,8,1,7,6,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,2,1,3] => [2,8,1,7,5,6,4,3] => [[.,.],[[[[[.,.],.],[.,.]],.],.]]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,2,1,3] => [2,8,1,7,4,6,5,3] => [[.,.],[[[[.,.],[[.,.],.]],.],.]]
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,2,1,3] => [2,8,1,5,6,4,7,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,2,1,3] => [2,8,1,5,4,6,7,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [2,8,1,4,5,6,7,3] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [4,1,2,5,6,8,7,3] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [4,1,2,5,8,6,7,3] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,1,2,3] => [4,1,2,6,8,5,7,3] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [4,1,2,7,8,5,6,3] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,1,2,3] => [4,1,2,8,7,6,5,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,1,2,3] => [4,1,2,8,7,5,6,3] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [4,1,2,8,5,6,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [7,8,6,4,5,1,2,3] => [5,1,2,6,4,8,7,3] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,1,2,3] => [6,1,2,5,8,4,7,3] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [6,1,2,7,4,5,8,3] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [6,1,2,8,4,5,7,3] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [8,5,6,4,7,1,2,3] => [7,1,2,6,8,5,4,3] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,1,2,3] => [7,1,2,5,8,4,6,3] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]]
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [7,1,2,8,4,5,6,3] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [8,1,2,5,6,7,4,3] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,1,2,3] => [8,1,2,6,7,5,4,3] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,1,2,3] => [8,1,2,7,6,5,4,3] => [[.,[.,[[[[[.,.],.],.],.],.]]],.]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,1,2,3] => [8,1,2,6,4,7,5,3] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [8,1,2,7,4,6,5,3] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [8,1,2,5,7,4,6,3] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.]
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,1,2,3] => [8,1,2,7,4,5,6,3] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [6,4,5,7,8,1,2,3] => [8,1,2,6,4,5,7,3] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [8,1,2,4,5,6,7,3] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,4] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [2,3,6,1,7,5,8,4] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [2,3,6,1,8,5,7,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [2,3,7,1,6,8,5,4] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [2,3,7,1,8,5,6,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [2,3,8,1,6,7,5,4] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [2,3,8,1,7,6,5,4] => [[.,.],[.,[[[[[.,.],.],.],.],.]]]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [2,3,8,1,6,5,7,4] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [2,3,8,1,5,6,7,4] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [3,5,2,1,6,7,8,4] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,3,1,4] => [3,5,2,1,6,8,7,4] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [3,5,2,1,7,8,6,4] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,3,1,4] => [3,5,2,1,8,7,6,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,3,1,4] => [3,6,2,1,7,5,8,4] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [3,8,2,1,6,7,5,4] => [[[.,.],.],[[[[.,.],.],[.,.]],.]]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [3,8,2,1,7,6,5,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [3,8,2,1,7,5,6,4] => [[[.,.],.],[[[[.,.],[.,.]],.],.]]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [3,8,2,1,5,6,7,4] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [3,1,5,2,6,7,8,4] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,1,2,4] => [3,1,5,2,8,7,6,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,1,2,4] => [3,1,5,2,8,6,7,4] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [3,1,6,2,7,5,8,4] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [3,1,6,2,8,5,7,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,1,2,4] => [3,1,7,2,8,5,6,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,1,2,4] => [3,1,8,2,6,7,5,4] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [3,1,8,2,7,6,5,4] => [[.,[.,.]],[[[[[.,.],.],.],.],.]]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [3,1,8,2,7,5,6,4] => [[.,[.,.]],[[[[.,.],[.,.]],.],.]]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [3,1,8,2,6,5,7,4] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [3,1,8,2,5,6,7,4] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [2,5,1,3,6,7,8,4] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [2,5,1,3,6,8,7,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,1,3,4] => [2,5,1,3,7,8,6,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [2,5,1,3,8,6,7,4] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [2,6,1,3,8,5,7,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,1,3,4] => [2,7,1,3,6,8,5,4] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,1,3,4] => [2,8,1,3,6,7,5,4] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [2,8,1,3,7,6,5,4] => [[.,.],[[.,[[[[.,.],.],.],.]],.]]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [7,5,6,8,2,1,3,4] => [2,8,1,3,7,5,6,4] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [2,8,1,3,6,5,7,4] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [2,8,1,3,5,6,7,4] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [5,1,2,3,6,8,7,4] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [5,1,2,3,7,8,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [5,1,2,3,8,7,6,4] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [5,1,2,3,8,6,7,4] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [6,1,2,3,7,5,8,4] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [6,1,2,3,8,5,7,4] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [7,1,2,3,6,8,5,4] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [7,1,2,3,8,5,6,4] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [8,1,2,3,6,7,5,4] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [8,1,2,3,7,6,5,4] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [8,1,2,3,7,5,6,4] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [8,1,2,3,6,5,7,4] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [8,1,2,3,5,6,7,4] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,5] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [2,3,4,6,1,8,7,5] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [2,3,4,8,1,7,6,5] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [2,3,4,8,1,6,7,5] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,2,3,1,5] => [3,4,2,8,1,7,6,5] => [[[.,.],.],[.,[[[[.,.],.],.],.]]]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [3,4,2,8,1,6,7,5] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [8,6,7,3,2,4,1,5] => [4,3,7,2,1,8,6,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [6,7,8,3,2,4,1,5] => [4,3,8,2,1,6,7,5] => [[[[.,.],.],.],[[[.,.],[.,.]],.]]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [3,1,4,6,2,7,8,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [7,8,6,4,3,1,2,5] => [3,1,4,6,2,8,7,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [3,1,4,8,2,6,7,5] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [4,1,6,3,2,7,8,5] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [4,1,7,3,2,8,6,5] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [7,6,8,3,4,1,2,5] => [4,1,8,3,2,7,6,5] => [[.,[[.,.],.]],[[[[.,.],.],.],.]]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [4,1,8,3,2,6,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [2,4,1,6,3,7,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [2,4,1,7,3,8,6,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [4,1,2,6,3,7,8,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [4,1,2,6,3,8,7,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,1,2,3,5] => [4,1,2,7,3,8,6,5] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [4,1,2,8,3,6,7,5] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [2,3,6,1,4,7,8,5] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [7,8,6,3,2,1,4,5] => [2,3,6,1,4,8,7,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [8,6,7,3,2,1,4,5] => [2,3,7,1,4,8,6,5] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [2,3,8,1,4,6,7,5] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [3,6,2,1,4,7,8,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [7,8,6,2,3,1,4,5] => [3,6,2,1,4,8,7,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [8,6,7,2,3,1,4,5] => [3,7,2,1,4,8,6,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [3,8,2,1,4,6,7,5] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [3,1,6,2,4,7,8,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [7,8,6,3,1,2,4,5] => [3,1,6,2,4,8,7,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [7,6,8,3,1,2,4,5] => [3,1,8,2,4,7,6,5] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [2,6,1,3,4,7,8,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [2,7,1,3,4,8,6,5] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [2,8,1,3,4,6,7,5] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [6,1,2,3,4,8,7,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [7,1,2,3,4,8,6,5] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [8,1,2,3,4,7,6,5] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [8,1,2,3,4,6,7,5] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [2,3,4,5,8,1,7,6] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [2,4,5,3,7,1,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [8,7,4,3,5,2,1,6] => [2,5,4,7,3,1,8,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [7,8,4,3,5,2,1,6] => [2,5,4,8,3,1,7,6] => [[.,.],[[[.,.],.],[[[.,.],.],.]]]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [3,5,2,7,4,1,8,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [4,3,5,2,7,1,8,6] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [7,8,5,3,2,4,1,6] => [4,3,5,2,8,1,7,6] => [[[[.,.],.],.],[.,[[[.,.],.],.]]]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [7,8,5,2,3,4,1,6] => [4,5,2,3,8,1,7,6] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [5,4,8,3,2,1,7,6] => [[[[[.,.],.],.],.],[[[.,.],.],.]]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [8,7,4,2,3,5,1,6] => [5,4,2,7,3,1,8,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [7,8,4,2,3,5,1,6] => [5,4,2,8,3,1,7,6] => [[[[.,.],[.,.]],.],[[[.,.],.],.]]
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [7,8,3,2,4,5,1,6] => [5,3,8,2,4,1,7,6] => [[[[.,.],.],[.,.]],[[[.,.],.],.]]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [3,1,4,5,7,2,8,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [8,7,5,3,4,1,2,6] => [4,1,5,3,7,2,8,6] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [7,8,5,3,4,1,2,6] => [4,1,5,3,8,2,7,6] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [8,7,4,3,5,1,2,6] => [5,1,4,7,3,2,8,6] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [7,8,4,3,5,1,2,6] => [5,1,4,8,3,2,7,6] => [[.,[[[.,.],.],.]],[[[.,.],.],.]]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [5,1,7,3,4,2,8,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [7,8,3,4,5,1,2,6] => [5,1,8,3,4,2,7,6] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,2,1,3,6] => [2,4,1,5,7,3,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [2,4,1,5,8,3,7,6] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [7,8,4,5,2,1,3,6] => [2,5,1,8,4,3,7,6] => [[.,.],[[[.,.],.],[[[.,.],.],.]]]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,1,2,3,6] => [4,1,2,5,7,3,8,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [4,1,2,5,8,3,7,6] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [5,1,2,8,4,3,7,6] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [2,3,5,1,7,4,8,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [7,8,5,3,2,1,4,6] => [2,3,5,1,8,4,7,6] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [8,7,5,2,3,1,4,6] => [3,5,2,1,7,4,8,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [3,1,5,2,7,4,8,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [7,8,5,3,1,2,4,6] => [3,1,5,2,8,4,7,6] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [2,5,1,3,7,4,8,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [2,5,1,3,8,4,7,6] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [5,1,2,3,7,4,8,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [5,1,2,3,8,4,7,6] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [2,3,4,7,1,5,8,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [2,3,4,8,1,5,7,6] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [8,7,3,4,2,1,5,6] => [2,4,7,3,1,5,8,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [7,8,3,4,2,1,5,6] => [2,4,8,3,1,5,7,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [8,7,3,2,4,1,5,6] => [4,3,7,2,1,5,8,6] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [4,3,8,2,1,5,7,6] => [[[[.,.],.],.],[[.,[[.,.],.]],.]]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [4,8,2,3,1,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [8,7,4,3,1,2,5,6] => [3,1,4,7,2,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [7,8,4,3,1,2,5,6] => [3,1,4,8,2,5,7,6] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [8,7,3,4,1,2,5,6] => [4,1,7,3,2,5,8,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [2,4,1,7,3,5,8,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [2,4,1,8,3,5,7,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [4,1,2,7,3,5,8,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [2,3,7,1,4,5,8,6] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [2,3,8,1,4,5,7,6] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [8,7,2,3,1,4,5,6] => [3,7,2,1,4,5,8,6] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [3,8,2,1,4,5,7,6] => [[[.,.],.],[[.,[.,[[.,.],.]]],.]]
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [7,8,3,1,2,4,5,6] => [3,1,8,2,4,5,7,6] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [2,7,1,3,4,5,8,6] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [2,8,1,3,4,5,7,6] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [8,1,2,3,4,5,7,6] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [2,3,4,6,8,5,1,7] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [8,5,4,6,3,2,1,7] => [2,3,6,5,8,4,1,7] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [2,3,6,8,4,5,1,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [2,4,5,3,6,8,1,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [8,5,6,3,4,2,1,7] => [2,4,6,3,8,5,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [8,5,4,3,6,2,1,7] => [2,6,4,5,8,3,1,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [3,4,2,5,6,8,1,7] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,2,3,1,7] => [3,5,2,6,4,8,1,7] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [8,4,5,6,2,3,1,7] => [3,6,2,8,4,5,1,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [4,3,5,2,6,8,1,7] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [8,6,4,3,2,5,1,7] => [5,3,4,6,2,8,1,7] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [5,3,6,2,4,8,1,7] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [6,3,4,5,8,2,1,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [8,4,5,3,2,6,1,7] => [6,3,5,8,4,2,1,7] => [[[[.,.],.],[[.,.],.]],[[.,.],.]]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [8,5,3,4,2,6,1,7] => [6,4,5,3,8,2,1,7] => [[[[[.,.],.],.],[.,.]],[[.,.],.]]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [6,5,4,8,3,2,1,7] => [[[[[[.,.],.],.],.],.],[[.,.],.]]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [8,3,4,5,2,6,1,7] => [6,5,8,3,4,2,1,7] => [[[[[.,.],.],[.,.]],.],[[.,.],.]]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [6,5,2,8,4,3,1,7] => [[[[.,.],[[.,.],.]],.],[[.,.],.]]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [8,4,2,3,5,6,1,7] => [6,4,2,8,3,5,1,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [6,3,8,2,4,5,1,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [3,1,4,5,6,8,2,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [4,1,5,3,6,8,2,7] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [4,1,6,3,8,5,2,7] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [8,6,3,4,5,1,2,7] => [5,1,6,3,4,8,2,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [8,5,4,3,6,1,2,7] => [6,1,4,5,8,3,2,7] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [6,1,8,3,4,5,2,7] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [2,4,1,5,6,8,3,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,2,1,3,7] => [2,4,1,6,8,5,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,2,1,3,7] => [2,5,1,6,4,8,3,7] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [8,4,5,6,2,1,3,7] => [2,6,1,8,4,5,3,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [4,1,2,5,6,8,3,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [4,1,2,6,8,5,3,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [5,1,2,6,4,8,3,7] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [2,3,5,1,6,8,4,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [8,5,6,3,2,1,4,7] => [2,3,6,1,8,5,4,7] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [3,5,2,1,6,8,4,7] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [3,6,2,1,8,5,4,7] => [[[.,.],.],[[[.,.],.],[[.,.],.]]]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [8,6,5,3,1,2,4,7] => [3,1,5,2,6,8,4,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [2,5,1,3,6,8,4,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [2,6,1,3,8,5,4,7] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [5,1,2,3,6,8,4,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [6,1,2,3,8,5,4,7] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [2,3,4,6,1,8,5,7] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [2,4,6,3,1,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,2,1,8,5,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [8,6,4,3,1,2,5,7] => [3,1,4,6,2,8,5,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [2,4,1,6,3,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [4,1,2,6,3,8,5,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [8,6,3,2,1,4,5,7] => [2,3,6,1,4,8,5,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [8,6,2,3,1,4,5,7] => [3,6,2,1,4,8,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [6,1,2,3,4,8,5,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [2,3,4,5,8,1,6,7] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [8,4,3,5,2,1,6,7] => [2,5,4,8,3,1,6,7] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [2,5,8,3,4,1,6,7] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [8,5,3,2,4,1,6,7] => [4,3,5,2,8,1,6,7] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [4,5,2,3,8,1,6,7] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [8,4,2,3,5,1,6,7] => [5,4,2,8,3,1,6,7] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [8,3,2,4,5,1,6,7] => [5,3,8,2,4,1,6,7] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [5,8,2,3,4,1,6,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [8,5,4,3,1,2,6,7] => [3,1,4,5,8,2,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [8,5,3,4,1,2,6,7] => [4,1,5,3,8,2,6,7] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [8,4,3,5,1,2,6,7] => [5,1,4,8,3,2,6,7] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [8,5,4,2,1,3,6,7] => [2,4,1,5,8,3,6,7] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [4,1,2,5,8,3,6,7] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [8,5,3,2,1,4,6,7] => [2,3,5,1,8,4,6,7] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [3,1,5,2,8,4,6,7] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [2,5,1,3,8,4,6,7] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [5,1,2,3,8,4,6,7] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [2,3,4,8,1,5,6,7] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [2,4,8,3,1,5,6,7] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [3,4,2,8,1,5,6,7] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [8,3,2,4,1,5,6,7] => [4,3,8,2,1,5,6,7] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [4,8,2,3,1,5,6,7] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [8,4,3,1,2,5,6,7] => [3,1,4,8,2,5,6,7] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [4,1,8,3,2,5,6,7] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [2,4,1,8,3,5,6,7] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [4,1,2,8,3,5,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [2,3,8,1,4,5,6,7] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [3,8,2,1,4,5,6,7] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,1,8,2,4,5,6,7] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [2,8,1,3,4,5,6,7] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,1,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [2,3,4,5,7,6,1,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [2,3,4,6,7,5,1,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [2,3,4,7,6,5,1,8] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [2,3,4,7,5,6,1,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [2,3,5,6,4,7,1,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [7,5,4,6,3,2,1,8] => [2,3,6,5,7,4,1,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [2,3,7,5,6,4,1,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [2,3,7,6,5,4,1,8] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [2,3,7,5,4,6,1,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [2,4,6,3,7,5,1,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [2,4,7,3,5,6,1,8] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [2,5,4,6,3,7,1,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [6,7,4,3,5,2,1,8] => [2,5,4,7,3,6,1,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [2,5,6,3,4,7,1,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [2,6,4,5,7,3,1,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [7,4,3,5,6,2,1,8] => [2,6,4,7,3,5,1,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [7,3,4,5,6,2,1,8] => [2,6,7,3,4,5,1,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [2,7,4,5,6,3,1,8] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [2,7,4,6,5,3,1,8] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [2,7,6,5,4,3,1,8] => [[.,.],[[[[[.,.],.],.],.],[.,.]]]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [6,5,3,4,7,2,1,8] => [2,7,5,3,6,4,1,8] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [5,6,3,4,7,2,1,8] => [2,7,6,3,5,4,1,8] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [6,3,4,5,7,2,1,8] => [2,7,6,3,4,5,1,8] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [2,7,3,4,5,6,1,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [3,4,2,5,6,7,1,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [3,4,2,5,7,6,1,8] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [3,4,2,6,7,5,1,8] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [3,4,2,7,5,6,1,8] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [3,5,2,6,4,7,1,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [3,5,2,7,4,6,1,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [6,5,4,7,2,3,1,8] => [3,7,2,5,6,4,1,8] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [3,7,2,6,5,4,1,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [5,4,6,7,2,3,1,8] => [3,7,2,5,4,6,1,8] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [7,5,6,3,2,4,1,8] => [4,3,6,2,7,5,1,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [4,3,7,2,6,5,1,8] => [[[[.,.],.],.],[[[.,.],.],[.,.]]]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [4,3,7,2,5,6,1,8] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [4,5,2,3,6,7,1,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [4,5,2,3,7,6,1,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [4,6,2,3,7,5,1,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [4,7,2,3,6,5,1,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [4,7,2,3,5,6,1,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [7,6,4,3,2,5,1,8] => [5,3,4,6,2,7,1,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [6,7,4,3,2,5,1,8] => [5,3,4,7,2,6,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [5,4,2,6,3,7,1,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [6,7,4,2,3,5,1,8] => [5,4,2,7,3,6,1,8] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [5,3,6,2,4,7,1,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [6,7,3,2,4,5,1,8] => [5,3,7,2,4,6,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [7,4,3,5,2,6,1,8] => [6,5,4,7,3,2,1,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [7,3,4,5,2,6,1,8] => [6,5,7,3,4,2,1,8] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [7,5,4,2,3,6,1,8] => [6,4,2,5,7,3,1,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [6,3,5,2,7,4,1,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [7,5,2,3,4,6,1,8] => [6,5,2,3,7,4,1,8] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [7,4,2,3,5,6,1,8] => [6,4,2,7,3,5,1,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [6,7,2,3,4,5,1,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [7,3,4,5,6,2,1,8] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [7,3,6,5,4,2,1,8] => [[[[.,.],.],[[[.,.],.],.]],[.,.]]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [7,4,6,3,5,2,1,8] => [[[[[.,.],.],.],[[.,.],.]],[.,.]]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [6,4,3,5,2,7,1,8] => [7,5,4,6,3,2,1,8] => [[[[[[.,.],.],.],.],[.,.]],[.,.]]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [7,5,6,3,4,2,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [7,6,4,5,3,2,1,8] => [[[[[[.,.],.],.],[.,.]],.],[.,.]]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [7,6,5,4,3,2,1,8] => [[[[[[[.,.],.],.],.],.],.],[.,.]]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [7,6,5,3,4,2,1,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [7,6,4,3,5,2,1,8] => [[[[[[.,.],.],.],[.,.]],.],[.,.]]
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [7,6,3,4,5,2,1,8] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [6,5,4,2,3,7,1,8] => [7,4,2,5,6,3,1,8] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [6,4,5,2,3,7,1,8] => [7,5,2,6,4,3,1,8] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [5,4,6,2,3,7,1,8] => [7,6,2,5,4,3,1,8] => [[[[.,.],[[[.,.],.],.]],.],[.,.]]
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [4,5,6,2,3,7,1,8] => [7,6,2,4,5,3,1,8] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [7,3,5,2,6,4,1,8] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [5,6,3,2,4,7,1,8] => [7,3,6,2,5,4,1,8] => [[[[.,.],.],[[[.,.],.],.]],[.,.]]
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [5,6,2,3,4,7,1,8] => [7,6,2,3,5,4,1,8] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [7,4,2,6,3,5,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [6,2,3,4,5,7,1,8] => [7,6,2,3,4,5,1,8] => [[[[.,.],[.,[.,[.,.]]]],.],[.,.]]
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [4,5,3,2,6,7,1,8] => [7,3,5,4,2,6,1,8] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [5,3,4,2,6,7,1,8] => [7,4,5,3,2,6,1,8] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [4,3,5,2,6,7,1,8] => [7,5,4,3,2,6,1,8] => [[[[[[.,.],.],.],.],[.,.]],[.,.]]
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [7,5,3,4,2,6,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [5,4,2,3,6,7,1,8] => [7,4,2,5,3,6,1,8] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [5,3,2,4,6,7,1,8] => [7,3,5,2,4,6,1,8] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [4,2,3,5,6,7,1,8] => [7,4,2,3,5,6,1,8] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [7,2,3,4,5,6,1,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [3,1,4,5,6,7,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [3,1,4,5,7,6,2,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [5,6,7,4,3,1,2,8] => [3,1,4,7,5,6,2,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [3,1,7,4,5,6,2,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [7,5,6,3,4,1,2,8] => [4,1,6,3,7,5,2,8] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [6,5,7,3,4,1,2,8] => [4,1,7,3,6,5,2,8] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [6,7,4,3,5,1,2,8] => [5,1,4,7,3,6,2,8] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [7,4,5,3,6,1,2,8] => [6,1,5,7,4,3,2,8] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [5,6,4,3,7,1,2,8] => [7,1,4,6,5,3,2,8] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [6,4,5,3,7,1,2,8] => [7,1,5,6,4,3,2,8] => [[.,[[[[.,.],.],.],[.,.]]],[.,.]]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [5,4,6,3,7,1,2,8] => [7,1,6,5,4,3,2,8] => [[.,[[[[[.,.],.],.],.],.]],[.,.]]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [6,5,3,4,7,1,2,8] => [7,1,5,3,6,4,2,8] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [7,1,6,3,5,4,2,8] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [7,1,3,4,5,6,2,8] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [2,4,1,5,6,7,3,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [5,6,7,4,2,1,3,8] => [2,4,1,7,5,6,3,8] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,2,1,3,8] => [2,5,1,6,4,7,3,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [2,6,1,5,7,4,3,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [6,5,4,7,2,1,3,8] => [2,7,1,5,6,4,3,8] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [4,1,2,5,6,7,3,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [6,7,5,4,1,2,3,8] => [4,1,2,5,7,6,3,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [7,5,6,4,1,2,3,8] => [4,1,2,6,7,5,3,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [4,1,2,7,5,6,3,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [7,1,2,6,5,4,3,8] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]]
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [6,4,5,7,1,2,3,8] => [7,1,2,6,4,5,3,8] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [7,1,2,5,4,6,3,8] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [7,1,2,4,5,6,3,8] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [6,7,5,3,2,1,4,8] => [2,3,5,1,7,6,4,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [7,5,6,3,2,1,4,8] => [2,3,6,1,7,5,4,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [5,6,7,3,2,1,4,8] => [2,3,7,1,5,6,4,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [7,5,6,2,3,1,4,8] => [3,6,2,1,7,5,4,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [3,7,2,1,5,6,4,8] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [3,1,7,2,5,6,4,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [6,7,5,2,1,3,4,8] => [2,5,1,3,7,6,4,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [7,5,6,2,1,3,4,8] => [2,6,1,3,7,5,4,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [2,7,1,3,5,6,4,8] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [5,1,2,3,6,7,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [5,1,2,3,7,6,4,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [6,1,2,3,7,5,4,8] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [7,1,2,3,6,5,4,8] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [7,1,2,3,5,6,4,8] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [7,6,4,3,2,1,5,8] => [2,3,4,6,1,7,5,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [6,7,4,3,2,1,5,8] => [2,3,4,7,1,6,5,8] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [7,6,4,2,3,1,5,8] => [3,4,2,6,1,7,5,8] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [6,7,3,2,4,1,5,8] => [4,3,7,2,1,6,5,8] => [[[[.,.],.],.],[[[.,.],.],[.,.]]]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [7,6,2,3,4,1,5,8] => [4,6,2,3,1,7,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [7,6,3,4,1,2,5,8] => [4,1,6,3,2,7,5,8] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [6,7,3,4,1,2,5,8] => [4,1,7,3,2,6,5,8] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [2,4,1,6,3,7,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [7,6,4,1,2,3,5,8] => [4,1,2,6,3,7,5,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [2,3,6,1,4,7,5,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [7,6,2,3,1,4,5,8] => [3,6,2,1,4,7,5,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [7,6,3,1,2,4,5,8] => [3,1,6,2,4,7,5,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [6,1,2,3,4,7,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [7,1,2,3,4,6,5,8] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [2,3,4,5,7,1,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [7,3,4,5,2,1,6,8] => [2,5,7,3,4,1,6,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [7,4,5,2,3,1,6,8] => [3,5,2,7,4,1,6,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [4,3,5,2,7,1,6,8] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [7,5,2,3,4,1,6,8] => [4,5,2,3,7,1,6,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [7,4,3,2,5,1,6,8] => [5,3,4,7,2,1,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [7,4,2,3,5,1,6,8] => [5,4,2,7,3,1,6,8] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [7,3,2,4,5,1,6,8] => [5,3,7,2,4,1,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [5,7,2,3,4,1,6,8] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [7,4,5,2,1,3,6,8] => [2,5,1,7,4,3,6,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [7,5,4,1,2,3,6,8] => [4,1,2,5,7,3,6,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [7,5,2,3,1,4,6,8] => [3,5,2,1,7,4,6,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [3,1,5,2,7,4,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [2,3,4,7,1,5,6,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [7,4,2,3,1,5,6,8] => [3,4,2,7,1,5,6,8] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [7,3,2,4,1,5,6,8] => [4,3,7,2,1,5,6,8] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [7,3,4,1,2,5,6,8] => [4,1,7,3,2,5,6,8] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [4,1,2,7,3,5,6,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [2,3,7,1,4,5,6,8] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [3,1,7,2,4,5,6,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [2,7,1,3,4,5,6,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,6,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [2,3,4,5,6,1,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [2,3,4,6,5,1,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [6,4,5,3,2,1,7,8] => [2,3,5,6,4,1,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [2,3,6,5,4,1,7,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [2,3,6,4,5,1,7,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [2,6,4,5,3,1,7,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [5,3,4,6,2,1,7,8] => [2,6,5,3,4,1,7,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [2,6,3,4,5,1,7,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [6,5,4,2,3,1,7,8] => [3,4,2,5,6,1,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [5,4,6,2,3,1,7,8] => [3,6,2,5,4,1,7,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [6,5,3,2,4,1,7,8] => [4,3,5,2,6,1,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [5,6,3,2,4,1,7,8] => [4,3,6,2,5,1,7,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [6,3,4,2,5,1,7,8] => [5,4,6,3,2,1,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [6,4,2,3,5,1,7,8] => [5,4,2,6,3,1,7,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [6,3,2,4,5,1,7,8] => [5,3,6,2,4,1,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [6,2,3,4,5,1,7,8] => [5,6,2,3,4,1,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [6,3,4,5,2,1,7,8] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [6,5,4,3,2,1,7,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]]
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [6,5,3,4,2,1,7,8] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [5,4,2,3,6,1,7,8] => [6,4,2,5,3,1,7,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [5,3,2,4,6,1,7,8] => [6,3,5,2,4,1,7,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [6,5,2,3,4,1,7,8] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [6,4,3,2,5,1,7,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [6,2,3,4,5,1,7,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [3,1,4,6,5,2,7,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [6,4,5,3,1,2,7,8] => [3,1,5,6,4,2,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [3,1,6,5,4,2,7,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [4,1,6,3,5,2,7,8] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [6,3,4,5,1,2,7,8] => [5,1,6,3,4,2,7,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [6,1,4,5,3,2,7,8] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [6,1,3,4,5,2,7,8] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [6,5,4,2,1,3,7,8] => [2,4,1,5,6,3,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [2,4,1,6,5,3,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [6,4,5,2,1,3,7,8] => [2,5,1,6,4,3,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [5,4,6,2,1,3,7,8] => [2,6,1,5,4,3,7,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [4,5,6,2,1,3,7,8] => [2,6,1,4,5,3,7,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [4,1,2,5,6,3,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [5,6,4,1,2,3,7,8] => [4,1,2,6,5,3,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [2,3,6,1,5,4,7,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [6,5,2,3,1,4,7,8] => [3,5,2,1,6,4,7,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [5,6,2,3,1,4,7,8] => [3,6,2,1,5,4,7,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [5,6,3,1,2,4,7,8] => [3,1,6,2,5,4,7,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [6,5,2,1,3,4,7,8] => [2,5,1,3,6,4,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [5,6,2,1,3,4,7,8] => [2,6,1,3,5,4,7,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [6,5,1,2,3,4,7,8] => [5,1,2,3,6,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [5,6,1,2,3,4,7,8] => [6,1,2,3,5,4,7,8] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [2,3,4,6,1,5,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [6,2,3,4,1,5,7,8] => [4,6,2,3,1,5,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[[[[[.,.],[[.,.],.]],[.,.]],.],.] => [6,3,4,1,2,5,7,8] => [4,1,6,3,2,5,7,8] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [2,4,1,6,3,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [2,3,6,1,4,5,7,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [3,1,6,2,4,5,7,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [6,2,1,3,4,5,7,8] => [2,6,1,3,4,5,7,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [6,1,2,3,4,5,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [2,3,4,5,1,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [2,3,5,4,1,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [2,4,5,3,1,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [2,5,4,3,1,6,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [2,5,3,4,1,6,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [3,4,2,5,1,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [3,5,2,4,1,6,7,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [4,3,5,2,1,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [4,5,2,3,1,6,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [5,3,4,2,1,6,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [5,4,3,2,1,6,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [5,4,2,3,1,6,7,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [5,3,2,4,1,6,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [5,2,3,4,1,6,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [3,1,4,5,2,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [4,3,5,1,2,6,7,8] => [5,1,4,3,2,6,7,8] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [5,1,3,4,2,6,7,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [2,4,1,5,3,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [4,5,2,1,3,6,7,8] => [2,5,1,4,3,6,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [4,1,2,5,3,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [5,1,2,4,3,6,7,8] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [2,3,5,1,4,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [3,5,2,1,4,6,7,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [2,5,1,3,4,6,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [5,1,2,3,4,6,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [2,4,3,1,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [3,4,2,1,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [3,1,4,2,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [4,1,3,2,5,6,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [2,4,1,3,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [4,1,2,3,5,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [2,3,4,5,6,7,9,8,1] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [2,3,4,5,6,9,7,8,1] => [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [2,3,4,5,9,6,7,8,1] => [[.,.],[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [2,3,4,9,5,6,7,8,1] => [[.,.],[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [2,3,9,4,5,6,7,8,1] => [[.,.],[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [2,9,3,4,5,6,7,8,1] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [9,2,3,4,5,6,7,8,1] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,10,9,1] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [9,7,8,6,5,4,3,2,1] => [2,3,4,5,6,8,9,7,1] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [2,3,4,5,6,7,10,8,9,1] => [[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [8,9,6,7,5,4,3,2,1] => [2,3,4,5,7,9,6,8,1] => [[.,.],[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [2,3,4,5,6,10,7,8,9,1] => [[.,.],[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]
[.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [7,8,9,5,6,4,3,2,1] => [2,3,4,6,9,5,7,8,1] => [[.,.],[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [2,3,4,5,10,6,7,8,9,1] => [[.,.],[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]
[.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [6,7,8,9,4,5,3,2,1] => [2,3,5,9,4,6,7,8,1] => [[.,.],[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [2,3,4,10,5,6,7,8,9,1] => [[.,.],[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [5,6,7,8,9,3,4,2,1] => [2,4,9,3,5,6,7,8,1] => [[.,.],[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [2,3,10,4,5,6,7,8,9,1] => [[.,.],[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [4,5,6,7,8,9,2,3,1] => [3,9,2,4,5,6,7,8,1] => [[[.,.],.],[[.,[.,[.,[.,[.,.]]]]],.]]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [2,10,3,4,5,6,7,8,9,1] => [[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,1,2] => [9,1,3,4,5,6,7,8,2] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [10,2,3,4,5,6,7,8,9,1] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [2,3,4,5,6,9,8,7,1] => [[.,.],[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [2,3,4,5,9,7,8,6,1] => [[.,.],[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [2,3,4,9,6,7,8,5,1] => [[.,.],[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [2,3,9,5,6,7,8,4,1] => [[.,.],[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [2,9,4,5,6,7,8,3,1] => [[.,.],[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [9,3,4,5,6,7,8,2,1] => [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,1,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [2,3,4,5,6,7,10,9,8,1] => [[.,.],[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [2,3,4,5,6,10,8,9,7,1] => [[.,.],[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [2,3,4,5,10,7,8,9,6,1] => [[.,.],[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [2,3,4,10,6,7,8,9,5,1] => [[.,.],[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [2,3,10,5,6,7,8,9,4,1] => [[.,.],[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [2,10,4,5,6,7,8,9,3,1] => [[.,.],[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [3,1,4,5,6,7,8,2,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [10,3,4,5,6,7,8,9,2,1] => [[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,1,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [6,7,5,8,4,9,3,10,1,2] => [10,1,9,8,7,6,5,4,3,2] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [9,8,7,6,5,4,3,2,1,10] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.] => [6,7,5,8,4,9,3,10,2,11,1,12] => [11,10,9,8,7,6,5,4,3,2,1,12] => [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],[.,.]]
[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [7,5,6,4,8,3,9,2,10,1] => [10,9,8,6,7,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [10,8,6,4,2,1,3,5,7,9] => [2,4,1,6,3,8,5,10,7,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,9] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [2,9,1,3,4,5,6,7,8] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [9,3,2,4,5,6,7,8,1] => [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [11,1,2,3,4,5,6,7,8,9,10] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [2,10,1,3,4,5,6,7,8,9] => [[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [3,1,9,2,4,5,6,7,8] => [[.,[.,.]],[[.,[.,[.,[.,[.,.]]]]],.]]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [9,4,3,2,5,6,7,8,1] => [[[[[.,.],.],.],[.,[.,[.,[.,.]]]]],.]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [10,3,2,4,5,6,7,8,9,1] => [[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [11,2,3,4,5,6,7,8,9,10,1] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [9,1,2,3,4,5,6,8,7] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [7,8,9,1,2,3,4,5,6] => [9,1,2,3,4,5,7,8,6] => [[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [10,1,2,3,4,5,6,7,9,8] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [8,7,9,1,2,3,4,5,6] => [9,1,2,3,4,5,8,7,6] => [[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,1,2,3,4,5] => [10,1,2,3,4,6,7,8,9,5] => [[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]],.]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,10,1,2] => [10,1,3,4,5,6,7,8,9,2] => [[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [2,3,4,5,6,8,7,1,9] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,10,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,1,11] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,9,8,1,10] => [[.,.],[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [11,10,9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,10,11,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]
[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [7,6,8,4,3,5,9,2,10,1] => [10,9,4,8,3,7,6,5,2,1] => [[[[[[.,.],.],.],[[[[.,.],.],.],.]],.],.]
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [7,6,8,5,9,4,10,2,1,3] => [2,10,1,9,8,7,6,5,4,3] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [10,5,4,6,3,7,2,8,1,9] => [8,7,6,5,10,4,3,2,1,9] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [12,11,10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.],.]
[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.] => [6,4,5,7,3,8,2,9,1,10] => [9,8,7,6,4,5,3,2,1,10] => [[[[[[[[.,.],.],.],[.,.]],.],.],.],[.,.]]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,9,3] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,9,4] => [[.,.],[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [9,8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,9,5] => [[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [9,8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,9,6] => [[.,.],[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [9,8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,9,7] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,8] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,9,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,9,10,3] => [[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,9,10,4] => [[.,.],[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,9,10,5] => [[.,.],[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [10,9,8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,9,10,6] => [[.,.],[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [10,9,8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,9,10,7] => [[.,.],[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [10,9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,10,8] => [[.,.],[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,10,1,9] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,1,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [2,3,4,5,6,1,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [2,3,4,5,6,7,8,1,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [2,3,4,5,6,7,1,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [4,3,1,2,5,6,7,8,9] => [3,1,4,2,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [9,8,7,5,6,4,3,2,1] => [2,3,4,6,7,5,8,9,1] => [[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,4,5,3,2,1] => [2,3,5,6,4,7,8,9,1] => [[.,.],[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,2,3,1] => [3,4,2,5,6,7,8,9,1] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [10,8,9,6,7,4,5,2,3,1] => [3,5,2,7,4,9,6,10,8,1] => [[[.,.],.],[[.,.],[[.,.],[[.,.],[.,.]]]]]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]] => [12,10,11,8,9,6,7,4,5,2,3,1] => [3,5,2,7,4,9,6,11,8,12,10,1] => [[[.,.],.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [9,2,3,4,5,6,7,8,1] => [8,9,2,3,4,5,6,7,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [8,2,1,3,4,5,6,7,9] => [2,8,1,3,4,5,6,7,9] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [8,2,3,4,5,6,7,9,1] => [9,8,2,3,4,5,6,7,1] => [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [4,2,1,3,5,6,7,8,9] => [2,4,1,3,5,6,7,8,9] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [5,3,2,1,4,6,7,8,9] => [2,3,5,1,4,6,7,8,9] => [[.,.],[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.] => [6,4,3,2,1,5,7,8,9] => [2,3,4,6,1,5,7,8,9] => [[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.] => [7,5,4,3,2,1,6,8,9] => [2,3,4,5,7,1,6,8,9] => [[.,.],[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [8,6,5,4,3,2,1,7,9] => [2,3,4,5,6,8,1,7,9] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [8,2,3,4,5,6,7,1,9] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [2,3,4,5,1,6,7,8,9] => [5,2,3,4,1,6,7,8,9] => [[[.,.],[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,2,3,4,5,6,1,8,9] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [4,2,3,1,5,6,7,8,9] => [3,4,2,1,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [9,2,3,4,5,6,7,8,1,10] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [5,1,2,3,4,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [6,1,2,3,4,5,7,8,9] => [6,1,2,3,4,5,7,8,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [7,1,2,3,4,5,6,8,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [8,1,2,3,4,5,6,7,9] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [5,1,2,3,4,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [7,1,2,3,4,5,6,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [8,1,2,3,4,5,6,7,9,10] => [8,1,2,3,4,5,6,7,9,10] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [9,1,2,3,4,5,6,7,8,10] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [9,7,6,5,4,3,2,8,1] => [8,3,4,5,6,7,9,2,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],[.,.]]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [9,7,6,5,4,3,1,2,8] => [3,1,4,5,6,7,9,2,8] => [[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,9,10,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,10,8] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] => [10,9,8,7,6,5,4,3,2,11,1] => [11,3,4,5,6,7,8,9,10,2,1] => [[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,9,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [9,7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,9,6,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,10,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [9,8,6,1,2,3,4,5,7] => [6,1,2,3,4,8,5,9,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],[.,.]]]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,10,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,10,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,9,10,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.] => [3,2,4,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,11,10,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [9,3,4,5,6,8,7,2,1] => [[[[.,.],.],[.,[.,[.,[[.,.],.]]]]],.]
[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]] => [8,9,7,6,5,4,3,2,10,1] => [10,3,4,5,6,7,9,8,2,1] => [[[[.,.],.],[.,[.,[.,[.,[[.,.],.]]]]]],.]
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [2,4,3,1,5,6,7,8,9] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[.,[.,[.,[[[[[.,[.,.]],.],.],.],.]]]] => [5,4,6,7,8,9,3,2,1] => [2,3,9,5,4,6,7,8,1] => [[.,.],[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[.,[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]] => [6,5,7,8,9,4,3,2,1] => [2,3,4,9,6,5,7,8,1] => [[.,.],[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [4,5,3,2,1,6,7,8,9] => [2,3,5,4,1,6,7,8,9] => [[.,.],[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[[[[[.,[.,[.,[.,.]]]],.],.],.],[.,.]] => [9,4,3,2,1,5,6,7,8] => [2,3,4,9,1,5,6,7,8] => [[.,.],[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.] => [8,7,1,2,3,4,5,6,9] => [7,1,2,3,4,5,8,6,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.] => [3,4,5,6,7,8,2,1,9] => [2,8,3,4,5,6,7,1,9] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [10,8,7,6,5,4,3,1,2,9] => [3,1,4,5,6,7,8,10,2,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [6,7,5,4,3,2,1,8,9] => [2,3,4,5,7,6,1,8,9] => [[.,.],[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]] => [7,6,8,9,5,4,3,2,1] => [2,3,4,5,9,7,6,8,1] => [[.,.],[.,[.,[.,[[[.,.],[.,.]],.]]]]]
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
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
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 $\chi(\pi)$.
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
searching the database
Sorry, this map was not found in the database.