Identifier
Mp00014: Binary trees to 132-avoiding permutationPermutations
Mp00086: Permutations first fundamental transformationPermutations
Mp00061: Permutations to increasing tree Binary trees
Images
[.,.] => [1] => [1] => [.,.]
[.,[.,.]] => [2,1] => [2,1] => [[.,.],.]
[[.,.],.] => [1,2] => [1,2] => [.,[.,.]]
[.,[.,[.,.]]] => [3,2,1] => [3,1,2] => [[.,.],[.,.]]
[.,[[.,.],.]] => [2,3,1] => [3,2,1] => [[[.,.],.],.]
[[.,.],[.,.]] => [3,1,2] => [2,3,1] => [[.,[.,.]],.]
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,1,2,3] => [[.,.],[.,[.,.]]]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [4,1,3,2] => [[.,.],[[.,.],.]]
[.,[[.,.],[.,.]]] => [4,2,3,1] => [4,3,1,2] => [[[.,.],.],[.,.]]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,2,3,1] => [[[.,.],[.,.]],.]
[[.,.],[.,[.,.]]] => [4,3,1,2] => [2,4,1,3] => [[.,[.,.]],[.,.]]
[[.,.],[[.,.],.]] => [3,4,1,2] => [2,4,3,1] => [[.,[[.,.],.]],.]
[[.,[.,.]],[.,.]] => [4,2,1,3] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[[.,.],.],[.,.]] => [4,1,2,3] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,1,2,4] => [[.,.],[.,[.,.]]]
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[[.,.],[.,.]],.] => [3,1,2,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [5,1,2,4,3] => [[.,.],[.,[[.,.],.]]]
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [5,1,4,2,3] => [[.,.],[[.,.],[.,.]]]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [5,1,4,3,2] => [[.,.],[[[.,.],.],.]]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [5,1,3,4,2] => [[.,.],[[.,[.,.]],.]]
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]]
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [5,3,1,4,2] => [[[.,.],.],[[.,.],.]]
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [5,4,2,1,3] => [[[[.,.],.],.],[.,.]]
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [5,4,2,3,1] => [[[[.,.],.],[.,.]],.]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [5,4,3,2,1] => [[[[[.,.],.],.],.],.]
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [5,3,4,2,1] => [[[[.,.],[.,.]],.],.]
[.,[[[.,[.,.]],.],.]] => [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] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]]
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [2,5,1,4,3] => [[.,[.,.]],[[.,.],.]]
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [2,5,4,1,3] => [[.,[[.,.],.]],[.,.]]
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.]
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [2,5,3,4,1] => [[.,[[.,.],[.,.]]],.]
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [3,1,5,2,4] => [[.,.],[[.,.],[.,.]]]
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [3,1,5,4,2] => [[.,.],[[[.,.],.],.]]
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [2,3,5,1,4] => [[.,[.,[.,.]]],[.,.]]
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [2,3,5,4,1] => [[.,[.,[[.,.],.]]],.]
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [4,1,2,5,3] => [[.,.],[.,[[.,.],.]]]
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [4,3,1,5,2] => [[[.,.],.],[[.,.],.]]
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [2,4,1,5,3] => [[.,[.,.]],[[.,.],.]]
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [4,1,3,2,5] => [[.,.],[[.,.],[.,.]]]
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]]
[[.,[[.,[.,.]],.]],.] => [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] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]]
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [2,4,3,1,5] => [[.,[[.,.],.]],[.,.]]
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[[[.,[.,.]],.],.],.] => [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] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [6,1,2,3,5,4] => [[.,.],[.,[.,[[.,.],.]]]]
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [6,1,2,5,3,4] => [[.,.],[.,[[.,.],[.,.]]]]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [6,1,2,5,4,3] => [[.,.],[.,[[[.,.],.],.]]]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [6,1,2,4,5,3] => [[.,.],[.,[[.,[.,.]],.]]]
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [6,1,4,2,3,5] => [[.,.],[[.,.],[.,[.,.]]]]
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [6,1,4,2,5,3] => [[.,.],[[.,.],[[.,.],.]]]
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [6,1,5,3,2,4] => [[.,.],[[[.,.],.],[.,.]]]
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [6,1,4,5,2,3] => [[.,.],[[.,[.,.]],[.,.]]]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [6,1,5,3,4,2] => [[.,.],[[[.,.],[.,.]],.]]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]]
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [6,1,4,5,3,2] => [[.,.],[[[.,[.,.]],.],.]]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [6,1,4,3,5,2] => [[.,.],[[[.,.],[.,.]],.]]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [6,1,3,4,5,2] => [[.,.],[[.,[.,[.,.]]],.]]
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]]
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [6,3,1,2,5,4] => [[[.,.],.],[.,[[.,.],.]]]
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [6,3,1,5,2,4] => [[[.,.],.],[[.,.],[.,.]]]
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [6,3,1,5,4,2] => [[[.,.],.],[[[.,.],.],.]]
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [6,3,1,4,5,2] => [[[.,.],.],[[.,[.,.]],.]]
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [6,4,2,1,3,5] => [[[[.,.],.],.],[.,[.,.]]]
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [6,4,2,1,5,3] => [[[[.,.],.],.],[[.,.],.]]
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]]
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [6,3,4,1,5,2] => [[[.,.],[.,.]],[[.,.],.]]
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [6,5,2,3,1,4] => [[[[.,.],.],[.,.]],[.,.]]
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [6,5,4,2,1,3] => [[[[[.,.],.],.],.],[.,.]]
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [6,3,5,2,1,4] => [[[[.,.],[.,.]],.],[.,.]]
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [6,4,2,5,1,3] => [[[[.,.],.],[.,.]],[.,.]]
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [6,3,4,5,1,2] => [[[.,.],[.,[.,.]]],[.,.]]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [6,5,2,3,4,1] => [[[[.,.],.],[.,[.,.]]],.]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [6,5,2,4,3,1] => [[[[.,.],.],[[.,.],.]],.]
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [6,5,4,2,3,1] => [[[[[.,.],.],.],[.,.]],.]
[.,[[.,[[.,[.,.]],.]],.]] => [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] => [6,3,5,2,4,1] => [[[[.,.],[.,.]],[.,.]],.]
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [6,3,5,4,2,1] => [[[[.,.],[[.,.],.]],.],.]
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [6,4,2,5,3,1] => [[[[.,.],.],[[.,.],.]],.]
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [6,3,4,5,2,1] => [[[[.,.],[.,[.,.]]],.],.]
>>> Load all 1696 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [6,4,2,3,5,1] => [[[[.,.],.],[.,[.,.]]],.]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.]
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [6,3,4,2,5,1] => [[[[.,.],[.,.]],[.,.]],.]
[.,[[[[.,[.,.]],.],.],.]] => [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] => [2,6,1,3,4,5] => [[.,[.,.]],[.,[.,[.,.]]]]
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [2,6,1,3,5,4] => [[.,[.,.]],[.,[[.,.],.]]]
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [2,6,1,5,3,4] => [[.,[.,.]],[[.,.],[.,.]]]
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]]
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [2,6,1,4,5,3] => [[.,[.,.]],[[.,[.,.]],.]]
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [2,6,4,1,3,5] => [[.,[[.,.],.]],[.,[.,.]]]
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [2,6,4,1,5,3] => [[.,[[.,.],.]],[[.,.],.]]
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [2,6,5,3,1,4] => [[.,[[[.,.],.],.]],[.,.]]
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,6,4,5,1,3] => [[.,[[.,.],[.,.]]],[.,.]]
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [2,6,5,3,4,1] => [[.,[[[.,.],.],[.,.]]],.]
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.]
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,6,4,5,3,1] => [[.,[[[.,.],[.,.]],.]],.]
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [2,6,4,3,5,1] => [[.,[[[.,.],.],[.,.]]],.]
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [2,6,3,4,5,1] => [[.,[[.,.],[.,[.,.]]]],.]
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [3,1,6,2,4,5] => [[.,.],[[.,.],[.,[.,.]]]]
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [3,1,6,2,5,4] => [[.,.],[[.,.],[[.,.],.]]]
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [3,1,6,5,2,4] => [[.,.],[[[.,.],.],[.,.]]]
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]]
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [3,1,6,4,5,2] => [[.,.],[[[.,.],[.,.]],.]]
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [2,3,6,1,4,5] => [[.,[.,[.,.]]],[.,[.,.]]]
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [2,3,6,1,5,4] => [[.,[.,[.,.]]],[[.,.],.]]
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [2,3,6,5,1,4] => [[.,[.,[[.,.],.]]],[.,.]]
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [2,3,6,5,4,1] => [[.,[.,[[[.,.],.],.]]],.]
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [2,3,6,4,5,1] => [[.,[.,[[.,.],[.,.]]]],.]
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [4,1,2,6,3,5] => [[.,.],[.,[[.,.],[.,.]]]]
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [4,1,2,6,5,3] => [[.,.],[.,[[[.,.],.],.]]]
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [4,3,1,6,2,5] => [[[.,.],.],[[.,.],[.,.]]]
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [4,3,1,6,5,2] => [[[.,.],.],[[[.,.],.],.]]
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [2,4,1,6,3,5] => [[.,[.,.]],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [2,4,1,6,5,3] => [[.,[.,.]],[[[.,.],.],.]]
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [3,1,4,6,2,5] => [[.,.],[[.,[.,.]],[.,.]]]
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [3,1,4,6,5,2] => [[.,.],[[.,[[.,.],.]],.]]
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [2,3,4,6,1,5] => [[.,[.,[.,[.,.]]]],[.,.]]
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [2,3,4,6,5,1] => [[.,[.,[.,[[.,.],.]]]],.]
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [5,1,2,3,6,4] => [[.,.],[.,[.,[[.,.],.]]]]
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [5,1,4,2,6,3] => [[.,.],[[.,.],[[.,.],.]]]
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [5,3,1,2,6,4] => [[[.,.],.],[.,[[.,.],.]]]
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [5,4,2,1,6,3] => [[[[.,.],.],.],[[.,.],.]]
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [5,3,4,1,6,2] => [[[.,.],[.,.]],[[.,.],.]]
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [2,5,1,3,6,4] => [[.,[.,.]],[.,[[.,.],.]]]
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [2,5,4,1,6,3] => [[.,[[.,.],.]],[[.,.],.]]
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [3,1,5,2,6,4] => [[.,.],[[.,.],[[.,.],.]]]
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [2,3,5,1,6,4] => [[.,[.,[.,.]]],[[.,.],.]]
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [4,1,2,5,6,3] => [[.,.],[.,[[.,[.,.]],.]]]
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [4,3,1,5,6,2] => [[[.,.],.],[[.,[.,.]],.]]
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [2,4,1,5,6,3] => [[.,[.,.]],[[.,[.,.]],.]]
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [3,1,4,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]]
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [5,1,2,4,3,6] => [[.,.],[.,[[.,.],[.,.]]]]
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [5,1,4,2,3,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [5,1,4,3,2,6] => [[.,.],[[[.,.],.],[.,.]]]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [5,1,3,4,2,6] => [[.,.],[[.,[.,.]],[.,.]]]
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [5,3,1,2,4,6] => [[[.,.],.],[.,[.,[.,.]]]]
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [5,3,1,4,2,6] => [[[.,.],.],[[.,.],[.,.]]]
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [5,4,2,1,3,6] => [[[[.,.],.],.],[.,[.,.]]]
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [5,3,4,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [5,4,2,3,1,6] => [[[[.,.],.],[.,.]],[.,.]]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]]
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [5,3,4,2,1,6] => [[[[.,.],[.,.]],.],[.,.]]
[[.,[[[.,[.,.]],.],.]],.] => [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] => [2,5,1,3,4,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [2,5,1,4,3,6] => [[.,[.,.]],[[.,.],[.,.]]]
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [2,5,4,1,3,6] => [[.,[[.,.],.]],[.,[.,.]]]
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [2,5,4,3,1,6] => [[.,[[[.,.],.],.]],[.,.]]
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [2,5,3,4,1,6] => [[.,[[.,.],[.,.]]],[.,.]]
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [3,1,5,2,4,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [3,1,5,4,2,6] => [[.,.],[[[.,.],.],[.,.]]]
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [2,3,5,1,4,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [2,3,5,4,1,6] => [[.,[.,[[.,.],.]]],[.,.]]
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [4,1,2,5,3,6] => [[.,.],[.,[[.,.],[.,.]]]]
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [4,3,1,5,2,6] => [[[.,.],.],[[.,.],[.,.]]]
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [2,4,1,5,3,6] => [[.,[.,.]],[[.,.],[.,.]]]
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [3,1,4,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]]
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [4,1,3,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [4,3,1,2,5,6] => [[[.,.],.],[.,[.,[.,.]]]]
[[[.,[[.,[.,.]],.]],.],.] => [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] => [2,4,1,3,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [2,4,3,1,5,6] => [[.,[[.,.],.]],[.,[.,.]]]
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [3,1,4,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]]
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[[[[.,[.,.]],.],.],.],.] => [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] => [7,1,2,3,4,5,6] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [7,1,2,3,4,6,5] => [[.,.],[.,[.,[.,[[.,.],.]]]]]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [7,1,2,3,6,4,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [7,1,2,3,6,5,4] => [[.,.],[.,[.,[[[.,.],.],.]]]]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [7,1,2,3,5,6,4] => [[.,.],[.,[.,[[.,[.,.]],.]]]]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [7,1,2,5,3,4,6] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [7,1,2,5,3,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [7,1,2,6,4,3,5] => [[.,.],[.,[[[.,.],.],[.,.]]]]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [7,1,2,5,6,3,4] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [7,1,2,6,4,5,3] => [[.,.],[.,[[[.,.],[.,.]],.]]]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [7,1,2,6,5,4,3] => [[.,.],[.,[[[[.,.],.],.],.]]]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [7,1,2,5,6,4,3] => [[.,.],[.,[[[.,[.,.]],.],.]]]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [7,1,2,5,4,6,3] => [[.,.],[.,[[[.,.],[.,.]],.]]]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [7,1,2,4,5,6,3] => [[.,.],[.,[[.,[.,[.,.]]],.]]]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [7,1,4,2,3,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [7,1,4,2,3,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [7,1,4,2,6,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [7,1,4,2,6,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [7,1,4,2,5,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [7,1,5,3,2,4,6] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [7,1,5,3,2,6,4] => [[.,.],[[[.,.],.],[[.,.],.]]]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [7,1,4,5,2,3,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [7,1,4,5,2,6,3] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [7,1,6,3,4,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [7,1,6,5,3,2,4] => [[.,.],[[[[.,.],.],.],[.,.]]]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [7,1,4,6,3,2,5] => [[.,.],[[[.,[.,.]],.],[.,.]]]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [7,1,5,3,6,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [7,1,4,5,6,2,3] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [7,1,6,3,4,5,2] => [[.,.],[[[.,.],[.,[.,.]]],.]]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [7,1,6,3,5,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [7,1,6,5,3,4,2] => [[.,.],[[[[.,.],.],[.,.]],.]]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [7,1,6,4,5,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [7,1,4,6,3,5,2] => [[.,.],[[[.,[.,.]],[.,.]],.]]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [7,1,4,6,5,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [7,1,5,3,6,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [7,1,4,5,6,3,2] => [[.,.],[[[.,[.,[.,.]]],.],.]]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [7,1,5,3,4,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [7,1,5,4,3,6,2] => [[.,.],[[[[.,.],.],[.,.]],.]]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [7,1,4,5,3,6,2] => [[.,.],[[[.,[.,.]],[.,.]],.]]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [7,1,4,3,5,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [7,1,3,4,5,6,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [7,3,1,2,4,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [7,3,1,2,4,6,5] => [[[.,.],.],[.,[.,[[.,.],.]]]]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [7,3,1,2,6,4,5] => [[[.,.],.],[.,[[.,.],[.,.]]]]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [7,3,1,2,6,5,4] => [[[.,.],.],[.,[[[.,.],.],.]]]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [7,3,1,2,5,6,4] => [[[.,.],.],[.,[[.,[.,.]],.]]]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [7,3,1,5,2,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [7,3,1,5,2,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [7,3,1,6,4,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [7,3,1,5,6,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [7,3,1,6,4,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [7,3,1,5,6,4,2] => [[[.,.],.],[[[.,[.,.]],.],.]]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [7,3,1,5,4,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]]
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [7,3,1,4,5,6,2] => [[[.,.],.],[[.,[.,[.,.]]],.]]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [7,4,2,1,3,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [7,4,2,1,3,6,5] => [[[[.,.],.],.],[.,[[.,.],.]]]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [7,4,2,1,6,3,5] => [[[[.,.],.],.],[[.,.],[.,.]]]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [7,4,2,1,6,5,3] => [[[[.,.],.],.],[[[.,.],.],.]]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [7,4,2,1,5,6,3] => [[[[.,.],.],.],[[.,[.,.]],.]]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [7,3,4,1,2,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [7,3,4,1,2,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [7,3,4,1,6,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [7,3,4,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]]
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [7,3,4,1,5,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [7,5,2,3,1,4,6] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [7,5,2,3,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [7,5,4,2,1,3,6] => [[[[[.,.],.],.],.],[.,[.,.]]]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [7,5,4,2,1,6,3] => [[[[[.,.],.],.],.],[[.,.],.]]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [7,3,5,2,1,4,6] => [[[[.,.],[.,.]],.],[.,[.,.]]]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [7,3,5,2,1,6,4] => [[[[.,.],[.,.]],.],[[.,.],.]]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [7,4,2,5,1,3,6] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [7,4,2,5,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [7,3,4,5,1,2,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]]
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [7,3,4,5,1,6,2] => [[[.,.],[.,[.,.]]],[[.,.],.]]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [7,6,2,3,4,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [7,6,2,5,3,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [7,6,4,2,3,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [7,6,5,3,2,1,4] => [[[[[[.,.],.],.],.],.],[.,.]]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [7,6,4,5,2,1,3] => [[[[[.,.],.],[.,.]],.],[.,.]]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [7,3,6,2,4,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [7,3,6,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [7,4,2,6,3,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [7,3,4,6,2,1,5] => [[[[.,.],[.,[.,.]]],.],[.,.]]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [7,5,2,3,6,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [7,5,4,2,6,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [7,3,5,2,6,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [7,4,2,5,6,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [7,3,4,5,6,1,2] => [[[.,.],[.,[.,[.,.]]]],[.,.]]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [7,6,2,3,4,5,1] => [[[[.,.],.],[.,[.,[.,.]]]],.]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [7,6,2,3,5,4,1] => [[[[.,.],.],[.,[[.,.],.]]],.]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [7,6,2,5,3,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [7,6,2,5,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [7,6,2,4,5,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [7,6,4,2,3,5,1] => [[[[[.,.],.],.],[.,[.,.]]],.]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [7,6,4,2,5,3,1] => [[[[[.,.],.],.],[[.,.],.]],.]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [7,6,5,3,2,4,1] => [[[[[[.,.],.],.],.],[.,.]],.]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [7,6,4,5,2,3,1] => [[[[[.,.],.],[.,.]],[.,.]],.]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [7,6,5,3,4,2,1] => [[[[[[.,.],.],.],[.,.]],.],.]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [7,6,4,5,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [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] => [7,3,6,2,4,5,1] => [[[[.,.],[.,.]],[.,[.,.]]],.]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [7,3,6,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [7,3,6,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [7,3,6,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.]
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [7,3,6,4,5,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [7,4,2,6,3,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [7,4,2,6,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [7,3,4,6,2,5,1] => [[[[.,.],[.,[.,.]]],[.,.]],.]
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [7,3,4,6,5,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [7,5,2,3,6,4,1] => [[[[.,.],.],[.,[[.,.],.]]],.]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [7,5,4,2,6,3,1] => [[[[[.,.],.],.],[[.,.],.]],.]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [7,3,5,2,6,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [7,4,2,5,6,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.]
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [7,3,4,5,6,2,1] => [[[[.,.],[.,[.,[.,.]]]],.],.]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [7,5,2,3,4,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [7,5,2,4,3,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [7,5,4,2,3,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [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] => [7,3,5,2,4,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.]
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [7,3,5,4,2,6,1] => [[[[.,.],[[.,.],.]],[.,.]],.]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [7,4,2,5,3,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.]
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [7,3,4,5,2,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [7,4,2,3,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [7,4,3,2,5,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.]
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [7,3,4,2,5,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.]
[.,[[[[[.,[.,.]],.],.],.],.]] => [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] => [2,7,1,3,4,5,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [2,7,1,3,4,6,5] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [2,7,1,3,6,4,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [2,7,1,3,6,5,4] => [[.,[.,.]],[.,[[[.,.],.],.]]]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [2,7,1,3,5,6,4] => [[.,[.,.]],[.,[[.,[.,.]],.]]]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [2,7,1,5,3,4,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [2,7,1,5,3,6,4] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [2,7,1,6,4,3,5] => [[.,[.,.]],[[[.,.],.],[.,.]]]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [2,7,1,5,6,3,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [2,7,1,6,4,5,3] => [[.,[.,.]],[[[.,.],[.,.]],.]]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [2,7,1,5,6,4,3] => [[.,[.,.]],[[[.,[.,.]],.],.]]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [2,7,1,5,4,6,3] => [[.,[.,.]],[[[.,.],[.,.]],.]]
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [2,7,1,4,5,6,3] => [[.,[.,.]],[[.,[.,[.,.]]],.]]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [2,7,4,1,3,5,6] => [[.,[[.,.],.]],[.,[.,[.,.]]]]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [2,7,4,1,3,6,5] => [[.,[[.,.],.]],[.,[[.,.],.]]]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [2,7,4,1,6,3,5] => [[.,[[.,.],.]],[[.,.],[.,.]]]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [2,7,4,1,6,5,3] => [[.,[[.,.],.]],[[[.,.],.],.]]
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [2,7,4,1,5,6,3] => [[.,[[.,.],.]],[[.,[.,.]],.]]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [2,7,5,3,1,4,6] => [[.,[[[.,.],.],.]],[.,[.,.]]]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [2,7,5,3,1,6,4] => [[.,[[[.,.],.],.]],[[.,.],.]]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [2,7,4,5,1,3,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]]
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [2,7,4,5,1,6,3] => [[.,[[.,.],[.,.]]],[[.,.],.]]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [2,7,6,3,4,1,5] => [[.,[[[.,.],.],[.,.]]],[.,.]]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [2,7,6,5,3,1,4] => [[.,[[[[.,.],.],.],.]],[.,.]]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [2,7,4,6,3,1,5] => [[.,[[[.,.],[.,.]],.]],[.,.]]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [2,7,5,3,6,1,4] => [[.,[[[.,.],.],[.,.]]],[.,.]]
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [2,7,4,5,6,1,3] => [[.,[[.,.],[.,[.,.]]]],[.,.]]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [2,7,6,3,4,5,1] => [[.,[[[.,.],.],[.,[.,.]]]],.]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [2,7,6,3,5,4,1] => [[.,[[[.,.],.],[[.,.],.]]],.]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [2,7,6,5,3,4,1] => [[.,[[[[.,.],.],.],[.,.]]],.]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.]
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [2,7,6,4,5,3,1] => [[.,[[[[.,.],.],[.,.]],.]],.]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [2,7,4,6,3,5,1] => [[.,[[[.,.],[.,.]],[.,.]]],.]
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [2,7,4,6,5,3,1] => [[.,[[[.,.],[[.,.],.]],.]],.]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [2,7,5,3,6,4,1] => [[.,[[[.,.],.],[[.,.],.]]],.]
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [2,7,4,5,6,3,1] => [[.,[[[.,.],[.,[.,.]]],.]],.]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [2,7,5,3,4,6,1] => [[.,[[[.,.],.],[.,[.,.]]]],.]
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [2,7,5,4,3,6,1] => [[.,[[[[.,.],.],.],[.,.]]],.]
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [2,7,4,5,3,6,1] => [[.,[[[.,.],[.,.]],[.,.]]],.]
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [2,7,4,3,5,6,1] => [[.,[[[.,.],.],[.,[.,.]]]],.]
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [2,7,3,4,5,6,1] => [[.,[[.,.],[.,[.,[.,.]]]]],.]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [3,1,7,2,4,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [3,1,7,2,4,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [3,1,7,2,6,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [3,1,7,2,6,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [3,1,7,2,5,6,4] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [3,1,7,5,2,4,6] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [3,1,7,5,2,6,4] => [[.,.],[[[.,.],.],[[.,.],.]]]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [3,1,7,6,4,2,5] => [[.,.],[[[[.,.],.],.],[.,.]]]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [3,1,7,5,6,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [3,1,7,6,4,5,2] => [[.,.],[[[[.,.],.],[.,.]],.]]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [3,1,7,5,6,4,2] => [[.,.],[[[[.,.],[.,.]],.],.]]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [3,1,7,5,4,6,2] => [[.,.],[[[[.,.],.],[.,.]],.]]
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [3,1,7,4,5,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [2,3,7,1,4,5,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [2,3,7,1,4,6,5] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [2,3,7,1,6,4,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [2,3,7,1,6,5,4] => [[.,[.,[.,.]]],[[[.,.],.],.]]
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [2,3,7,1,5,6,4] => [[.,[.,[.,.]]],[[.,[.,.]],.]]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [2,3,7,5,1,4,6] => [[.,[.,[[.,.],.]]],[.,[.,.]]]
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [2,3,7,5,1,6,4] => [[.,[.,[[.,.],.]]],[[.,.],.]]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [2,3,7,6,4,1,5] => [[.,[.,[[[.,.],.],.]]],[.,.]]
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [2,3,7,5,6,1,4] => [[.,[.,[[.,.],[.,.]]]],[.,.]]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [2,3,7,6,4,5,1] => [[.,[.,[[[.,.],.],[.,.]]]],.]
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [2,3,7,6,5,4,1] => [[.,[.,[[[[.,.],.],.],.]]],.]
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [2,3,7,5,6,4,1] => [[.,[.,[[[.,.],[.,.]],.]]],.]
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [2,3,7,5,4,6,1] => [[.,[.,[[[.,.],.],[.,.]]]],.]
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [2,3,7,4,5,6,1] => [[.,[.,[[.,.],[.,[.,.]]]]],.]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [4,1,2,7,3,5,6] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [4,1,2,7,3,6,5] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [4,1,2,7,6,3,5] => [[.,.],[.,[[[.,.],.],[.,.]]]]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [4,1,2,7,6,5,3] => [[.,.],[.,[[[[.,.],.],.],.]]]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [4,1,2,7,5,6,3] => [[.,.],[.,[[[.,.],[.,.]],.]]]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [4,3,1,7,2,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [4,3,1,7,2,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [4,3,1,7,6,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]]
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [4,3,1,7,5,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [2,4,1,7,3,5,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [2,4,1,7,3,6,5] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [2,4,1,7,6,3,5] => [[.,[.,.]],[[[.,.],.],[.,.]]]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [2,4,1,7,6,5,3] => [[.,[.,.]],[[[[.,.],.],.],.]]
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [2,4,1,7,5,6,3] => [[.,[.,.]],[[[.,.],[.,.]],.]]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [3,1,4,7,2,5,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [3,1,4,7,2,6,5] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [3,1,4,7,6,2,5] => [[.,.],[[.,[[.,.],.]],[.,.]]]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [3,1,4,7,6,5,2] => [[.,.],[[.,[[[.,.],.],.]],.]]
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [3,1,4,7,5,6,2] => [[.,.],[[.,[[.,.],[.,.]]],.]]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [2,3,4,7,1,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [2,3,4,7,1,6,5] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [2,3,4,7,6,1,5] => [[.,[.,[.,[[.,.],.]]]],[.,.]]
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [2,3,4,7,6,5,1] => [[.,[.,[.,[[[.,.],.],.]]]],.]
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [2,3,4,7,5,6,1] => [[.,[.,[.,[[.,.],[.,.]]]]],.]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [5,1,2,3,7,4,6] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [5,1,2,3,7,6,4] => [[.,.],[.,[.,[[[.,.],.],.]]]]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [5,1,4,2,7,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [5,1,4,2,7,6,3] => [[.,.],[[.,.],[[[.,.],.],.]]]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [5,3,1,2,7,4,6] => [[[.,.],.],[.,[[.,.],[.,.]]]]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [5,3,1,2,7,6,4] => [[[.,.],.],[.,[[[.,.],.],.]]]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [5,4,2,1,7,3,6] => [[[[.,.],.],.],[[.,.],[.,.]]]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [5,4,2,1,7,6,3] => [[[[.,.],.],.],[[[.,.],.],.]]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [5,3,4,1,7,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]]
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [5,3,4,1,7,6,2] => [[[.,.],[.,.]],[[[.,.],.],.]]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [2,5,1,3,7,4,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [2,5,1,3,7,6,4] => [[.,[.,.]],[.,[[[.,.],.],.]]]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [2,5,4,1,7,3,6] => [[.,[[.,.],.]],[[.,.],[.,.]]]
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [2,5,4,1,7,6,3] => [[.,[[.,.],.]],[[[.,.],.],.]]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [3,1,5,2,7,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [3,1,5,2,7,6,4] => [[.,.],[[.,.],[[[.,.],.],.]]]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [2,3,5,1,7,4,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [2,3,5,1,7,6,4] => [[.,[.,[.,.]]],[[[.,.],.],.]]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [4,1,2,5,7,3,6] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [4,1,2,5,7,6,3] => [[.,.],[.,[[.,[[.,.],.]],.]]]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [4,3,1,5,7,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]]
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [4,3,1,5,7,6,2] => [[[.,.],.],[[.,[[.,.],.]],.]]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [2,4,1,5,7,3,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [2,4,1,5,7,6,3] => [[.,[.,.]],[[.,[[.,.],.]],.]]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [3,1,4,5,7,2,6] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [3,1,4,5,7,6,2] => [[.,.],[[.,[.,[[.,.],.]]],.]]
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [2,3,4,5,7,1,6] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [2,3,4,5,7,6,1] => [[.,[.,[.,[.,[[.,.],.]]]]],.]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [6,1,2,3,4,7,5] => [[.,.],[.,[.,[.,[[.,.],.]]]]]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [6,1,2,5,3,7,4] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [6,1,4,2,3,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [6,1,5,3,2,7,4] => [[.,.],[[[.,.],.],[[.,.],.]]]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [6,1,4,5,2,7,3] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [6,3,1,2,4,7,5] => [[[.,.],.],[.,[.,[[.,.],.]]]]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [6,3,1,5,2,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [6,4,2,1,3,7,5] => [[[[.,.],.],.],[.,[[.,.],.]]]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [6,3,4,1,2,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [6,5,2,3,1,7,4] => [[[[.,.],.],[.,.]],[[.,.],.]]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [6,5,4,2,1,7,3] => [[[[[.,.],.],.],.],[[.,.],.]]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [6,3,5,2,1,7,4] => [[[[.,.],[.,.]],.],[[.,.],.]]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [6,4,2,5,1,7,3] => [[[[.,.],.],[.,.]],[[.,.],.]]
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [6,3,4,5,1,7,2] => [[[.,.],[.,[.,.]]],[[.,.],.]]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [2,6,1,3,4,7,5] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [2,6,1,5,3,7,4] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [2,6,4,1,3,7,5] => [[.,[[.,.],.]],[.,[[.,.],.]]]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [2,6,5,3,1,7,4] => [[.,[[[.,.],.],.]],[[.,.],.]]
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [2,6,4,5,1,7,3] => [[.,[[.,.],[.,.]]],[[.,.],.]]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [3,1,6,2,4,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [3,1,6,5,2,7,4] => [[.,.],[[[.,.],.],[[.,.],.]]]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [2,3,6,1,4,7,5] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [2,3,6,5,1,7,4] => [[.,[.,[[.,.],.]]],[[.,.],.]]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [4,1,2,6,3,7,5] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [4,3,1,6,2,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [2,4,1,6,3,7,5] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [3,1,4,6,2,7,5] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [2,3,4,6,1,7,5] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [5,1,2,3,6,7,4] => [[.,.],[.,[.,[[.,[.,.]],.]]]]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [5,1,4,2,6,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [5,3,1,2,6,7,4] => [[[.,.],.],[.,[[.,[.,.]],.]]]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [5,4,2,1,6,7,3] => [[[[.,.],.],.],[[.,[.,.]],.]]
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [5,3,4,1,6,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [2,5,1,3,6,7,4] => [[.,[.,.]],[.,[[.,[.,.]],.]]]
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [2,5,4,1,6,7,3] => [[.,[[.,.],.]],[[.,[.,.]],.]]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [3,1,5,2,6,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [2,3,5,1,6,7,4] => [[.,[.,[.,.]]],[[.,[.,.]],.]]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [4,1,2,5,6,7,3] => [[.,.],[.,[[.,[.,[.,.]]],.]]]
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [4,3,1,5,6,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]]
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [2,4,1,5,6,7,3] => [[.,[.,.]],[[.,[.,[.,.]]],.]]
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [3,1,4,5,6,7,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]]
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => [[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,1,2,3,4,5,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [6,1,2,3,5,4,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [6,1,2,5,3,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [6,1,2,5,4,3,7] => [[.,.],[.,[[[.,.],.],[.,.]]]]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [6,1,2,4,5,3,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [6,1,4,2,3,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [6,1,4,2,5,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [6,1,5,3,2,4,7] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [6,1,4,5,2,3,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [6,1,5,3,4,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [6,1,5,4,3,2,7] => [[.,.],[[[[.,.],.],.],[.,.]]]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [6,1,4,5,3,2,7] => [[.,.],[[[.,[.,.]],.],[.,.]]]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [6,1,4,3,5,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [6,1,3,4,5,2,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [6,3,1,2,4,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [6,3,1,2,5,4,7] => [[[.,.],.],[.,[[.,.],[.,.]]]]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [6,3,1,5,2,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [6,3,1,5,4,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]]
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [6,3,1,4,5,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [6,4,2,1,3,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [6,4,2,1,5,3,7] => [[[[.,.],.],.],[[.,.],[.,.]]]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [6,3,4,1,2,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]]
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [6,3,4,1,5,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [6,5,2,3,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [6,5,4,2,1,3,7] => [[[[[.,.],.],.],.],[.,[.,.]]]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [6,3,5,2,1,4,7] => [[[[.,.],[.,.]],.],[.,[.,.]]]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [6,4,2,5,1,3,7] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [6,3,4,5,1,2,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [6,5,2,3,4,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [6,5,2,4,3,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [6,5,4,2,3,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [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] => [6,3,5,2,4,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]]
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [6,3,5,4,2,1,7] => [[[[.,.],[[.,.],.]],.],[.,.]]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [6,4,2,5,3,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]]
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [6,3,4,5,2,1,7] => [[[[.,.],[.,[.,.]]],.],[.,.]]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [6,4,2,3,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [6,4,3,2,5,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]]
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [6,3,4,2,5,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]]
[[.,[[[[.,[.,.]],.],.],.]],.] => [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] => [2,6,1,3,4,5,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [2,6,1,3,5,4,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [2,6,1,5,3,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [2,6,1,5,4,3,7] => [[.,[.,.]],[[[.,.],.],[.,.]]]
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [2,6,1,4,5,3,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [2,6,4,1,3,5,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]]
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [2,6,4,1,5,3,7] => [[.,[[.,.],.]],[[.,.],[.,.]]]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [2,6,5,3,1,4,7] => [[.,[[[.,.],.],.]],[.,[.,.]]]
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [2,6,4,5,1,3,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [2,6,5,3,4,1,7] => [[.,[[[.,.],.],[.,.]]],[.,.]]
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [2,6,5,4,3,1,7] => [[.,[[[[.,.],.],.],.]],[.,.]]
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [2,6,4,5,3,1,7] => [[.,[[[.,.],[.,.]],.]],[.,.]]
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [2,6,4,3,5,1,7] => [[.,[[[.,.],.],[.,.]]],[.,.]]
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [2,6,3,4,5,1,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [3,1,6,2,4,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [3,1,6,2,5,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [3,1,6,5,2,4,7] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [3,1,6,5,4,2,7] => [[.,.],[[[[.,.],.],.],[.,.]]]
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [3,1,6,4,5,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [2,3,6,1,4,5,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [2,3,6,1,5,4,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [2,3,6,5,1,4,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]]
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [2,3,6,5,4,1,7] => [[.,[.,[[[.,.],.],.]]],[.,.]]
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [2,3,6,4,5,1,7] => [[.,[.,[[.,.],[.,.]]]],[.,.]]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [4,1,2,6,3,5,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [4,1,2,6,5,3,7] => [[.,.],[.,[[[.,.],.],[.,.]]]]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [4,3,1,6,2,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [4,3,1,6,5,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [2,4,1,6,3,5,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [2,4,1,6,5,3,7] => [[.,[.,.]],[[[.,.],.],[.,.]]]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [3,1,4,6,2,5,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [3,1,4,6,5,2,7] => [[.,.],[[.,[[.,.],.]],[.,.]]]
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [2,3,4,6,1,5,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [2,3,4,6,5,1,7] => [[.,[.,[.,[[.,.],.]]]],[.,.]]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [5,1,2,3,6,4,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [5,1,4,2,6,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [5,3,1,2,6,4,7] => [[[.,.],.],[.,[[.,.],[.,.]]]]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [5,4,2,1,6,3,7] => [[[[.,.],.],.],[[.,.],[.,.]]]
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [5,3,4,1,6,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [2,5,1,3,6,4,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [2,5,4,1,6,3,7] => [[.,[[.,.],.]],[[.,.],[.,.]]]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [3,1,5,2,6,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [2,3,5,1,6,4,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [4,1,2,5,6,3,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [4,3,1,5,6,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]]
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [2,4,1,5,6,3,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [3,1,4,5,6,2,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,1,2,3,4,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [5,1,2,4,3,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [5,1,4,2,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [5,1,4,3,2,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [5,1,3,4,2,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [5,3,1,2,4,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]]
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [5,3,1,4,2,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [5,4,2,1,3,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]]
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [5,3,4,1,2,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [5,4,2,3,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,4,3,2,1,6,7] => [[[[[.,.],.],.],.],[.,[.,.]]]
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [5,3,4,2,1,6,7] => [[[[.,.],[.,.]],.],[.,[.,.]]]
[[[.,[[[.,[.,.]],.],.]],.],.] => [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] => [2,5,1,3,4,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [2,5,1,4,3,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [2,5,4,1,3,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]]
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [2,5,4,3,1,6,7] => [[.,[[[.,.],.],.]],[.,[.,.]]]
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [2,5,3,4,1,6,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [3,1,5,2,4,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [3,1,5,4,2,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [2,3,5,1,4,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [2,3,5,4,1,6,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [4,1,2,5,3,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [4,3,1,5,2,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [2,4,1,5,3,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [3,1,4,5,2,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,1,2,3,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [4,1,3,2,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [4,3,1,2,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]]
[[[[.,[[.,[.,.]],.]],.],.],.] => [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] => [2,4,1,3,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [2,4,3,1,5,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]]
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [3,1,4,2,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,1,2,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]]
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[[[[[.,[.,.]],.],.],.],.],.] => [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] => [8,1,2,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [8,1,2,3,4,5,7,6] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [8,1,2,3,4,7,5,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [8,1,2,3,4,7,6,5] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [8,1,2,3,4,6,7,5] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [8,1,2,3,6,4,5,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [8,1,2,3,6,4,7,5] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [8,1,2,3,7,5,4,6] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [8,1,2,3,6,7,4,5] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [8,1,2,3,7,5,6,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [8,1,2,3,7,6,5,4] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [8,1,2,3,6,7,5,4] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [8,1,2,3,6,5,7,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [8,1,2,3,5,6,7,4] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [8,1,2,5,3,4,6,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [8,1,2,5,3,4,7,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [8,1,2,5,3,7,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [7,6,8,4,5,3,2,1] => [8,1,2,5,3,7,6,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [6,7,8,4,5,3,2,1] => [8,1,2,5,3,6,7,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [7,8,5,4,6,3,2,1] => [8,1,2,6,4,3,7,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [8,1,2,5,6,3,4,7] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [7,8,4,5,6,3,2,1] => [8,1,2,5,6,3,7,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [8,1,2,7,4,5,3,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [8,1,2,5,6,7,3,4] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [8,1,2,7,4,5,6,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [8,1,2,7,4,6,5,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [8,1,2,7,6,4,5,3] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [8,1,2,7,6,5,4,3] => [[.,.],[.,[[[[[.,.],.],.],.],.]]]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [7,6,4,5,8,3,2,1] => [8,1,2,5,7,4,6,3] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [7,5,4,6,8,3,2,1] => [8,1,2,6,4,7,5,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [8,1,2,5,6,7,4,3] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [8,1,2,6,4,5,7,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [8,1,2,4,5,6,7,3] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [8,1,4,2,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [8,1,4,2,3,5,7,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [8,1,4,2,3,7,5,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [8,1,4,2,3,7,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [6,7,8,5,3,4,2,1] => [8,1,4,2,3,6,7,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [8,1,4,2,6,3,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [8,1,4,2,6,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [8,6,5,7,3,4,2,1] => [8,1,4,2,7,5,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [8,5,6,7,3,4,2,1] => [8,1,4,2,6,7,3,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [7,6,5,8,3,4,2,1] => [8,1,4,2,7,5,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [7,5,6,8,3,4,2,1] => [8,1,4,2,6,7,5,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [8,1,4,2,6,5,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [8,1,4,2,5,6,7,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [8,7,6,4,3,5,2,1] => [8,1,5,3,2,4,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [7,8,6,4,3,5,2,1] => [8,1,5,3,2,4,7,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [8,1,5,3,2,7,4,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [8,1,5,3,2,6,7,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [8,1,4,5,2,3,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [7,8,6,3,4,5,2,1] => [8,1,4,5,2,3,7,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [8,6,7,3,4,5,2,1] => [8,1,4,5,2,7,3,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [8,1,4,5,2,6,7,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [8,1,6,3,4,2,5,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [8,1,6,3,4,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [8,1,5,3,6,2,4,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [7,8,4,3,5,6,2,1] => [8,1,5,3,6,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [8,1,4,5,6,2,3,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [7,8,3,4,5,6,2,1] => [8,1,4,5,6,2,7,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [8,1,7,3,4,5,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [8,5,6,4,3,7,2,1] => [8,1,7,3,6,4,2,5] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [8,5,4,6,3,7,2,1] => [8,1,7,6,4,3,2,5] => [[.,.],[[[[[.,.],.],.],.],[.,.]]]
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [8,5,6,3,4,7,2,1] => [8,1,4,7,6,3,2,5] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [8,1,5,3,7,4,2,6] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [8,6,3,4,5,7,2,1] => [8,1,4,5,7,3,2,6] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [8,1,6,3,4,7,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [8,5,3,4,6,7,2,1] => [8,1,4,6,3,7,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [8,1,4,5,6,7,2,3] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [8,1,7,3,4,5,6,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [7,5,6,4,3,8,2,1] => [8,1,7,3,6,4,5,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [8,1,7,3,6,5,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [8,1,7,3,5,6,4,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [6,7,4,5,3,8,2,1] => [8,1,7,5,3,6,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [8,1,7,6,4,3,5,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [8,1,7,6,4,5,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]]
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [5,6,4,7,3,8,2,1] => [8,1,7,6,5,4,3,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [8,1,7,5,6,4,3,2] => [[.,.],[[[[[.,.],[.,.]],.],.],.]]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [7,6,5,3,4,8,2,1] => [8,1,4,7,3,5,6,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]]
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [6,7,5,3,4,8,2,1] => [8,1,4,7,3,6,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [6,5,7,3,4,8,2,1] => [8,1,4,7,6,5,3,2] => [[.,.],[[[.,[[[.,.],.],.]],.],.]]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [7,6,4,3,5,8,2,1] => [8,1,5,3,7,4,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [7,6,3,4,5,8,2,1] => [8,1,4,5,7,3,6,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [7,5,3,4,6,8,2,1] => [8,1,4,6,3,7,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [8,1,4,5,6,7,3,2] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [8,1,6,3,4,5,7,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [5,6,4,3,7,8,2,1] => [8,1,6,3,5,4,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [6,5,3,4,7,8,2,1] => [8,1,4,6,3,5,7,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [6,4,3,5,7,8,2,1] => [8,1,5,3,6,4,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [8,1,4,5,6,3,7,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [4,5,3,6,7,8,2,1] => [8,1,5,4,3,6,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [5,3,4,6,7,8,2,1] => [8,1,4,5,3,6,7,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [8,1,4,3,5,6,7,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [8,1,3,4,5,6,7,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [8,3,1,2,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [8,3,1,2,4,5,7,6] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [8,3,1,2,4,7,5,6] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [8,3,1,2,4,7,6,5] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [8,3,1,2,6,4,5,7] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,2,3,1] => [8,3,1,2,6,4,7,5] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,2,3,1] => [8,3,1,2,6,7,4,5] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [8,3,1,2,7,6,5,4] => [[[.,.],.],[.,[[[[.,.],.],.],.]]]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [8,3,1,2,5,6,7,4] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [8,3,1,5,2,4,6,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [8,3,1,5,2,7,4,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,2,3,1] => [8,3,1,5,2,7,6,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,2,3,1] => [8,3,1,5,2,6,7,4] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [8,3,1,6,4,2,5,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [8,3,1,5,6,2,7,4] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [8,6,5,4,7,2,3,1] => [8,3,1,7,4,5,2,6] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [8,3,1,7,6,4,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [8,3,1,7,6,4,5,2] => [[[.,.],.],[[[[.,.],.],[.,.]],.]]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [8,3,1,7,6,5,4,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]]
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [5,6,7,4,8,2,3,1] => [8,3,1,7,5,6,4,2] => [[[.,.],.],[[[[.,.],[.,.]],.],.]]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,2,3,1] => [8,3,1,5,4,6,7,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]]
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [8,3,1,4,5,6,7,2] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [8,4,2,1,3,5,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,2,4,1] => [8,4,2,1,3,5,7,6] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,2,4,1] => [8,4,2,1,3,7,5,6] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [8,4,2,1,3,7,6,5] => [[[[.,.],.],.],[.,[[[.,.],.],.]]]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [8,4,2,1,3,6,7,5] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [8,4,2,1,6,3,5,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [8,4,2,1,7,5,3,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [8,4,2,1,7,5,6,3] => [[[[.,.],.],.],[[[.,.],[.,.]],.]]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [8,4,2,1,7,6,5,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,2,4,1] => [8,4,2,1,6,7,5,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [8,4,2,1,5,6,7,3] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [8,3,4,1,2,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,2,3,4,1] => [8,3,4,1,2,7,5,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [8,3,4,1,2,6,7,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,2,3,4,1] => [8,3,4,1,6,2,5,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [8,3,4,1,6,7,2,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,2,3,4,1] => [8,3,4,1,7,5,6,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [8,3,4,1,5,6,7,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [8,5,2,3,1,7,6,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [6,7,8,4,3,2,5,1] => [8,5,2,3,1,6,7,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [8,5,4,2,1,3,6,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [7,8,6,3,4,2,5,1] => [8,5,4,2,1,3,7,6] => [[[[[.,.],.],.],.],[.,[[.,.],.]]]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [8,5,4,2,1,7,3,6] => [[[[[.,.],.],.],.],[[.,.],[.,.]]]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [8,5,4,2,1,7,6,3] => [[[[[.,.],.],.],.],[[[.,.],.],.]]
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [8,5,4,2,1,6,7,3] => [[[[[.,.],.],.],.],[[.,[.,.]],.]]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,2,3,5,1] => [8,3,5,2,1,4,6,7] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,2,3,5,1] => [8,3,5,2,1,4,7,6] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,2,3,5,1] => [8,3,5,2,1,7,4,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [8,3,5,2,1,6,7,4] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [8,4,2,5,1,3,6,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [8,4,2,5,1,3,7,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [8,4,2,5,1,6,7,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [8,7,6,2,3,4,5,1] => [8,3,4,5,1,2,6,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [8,3,4,5,1,7,2,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [8,3,4,5,1,6,7,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [8,6,2,3,4,1,5,7] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [8,6,2,3,4,1,7,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [8,6,4,2,3,1,5,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [8,6,4,2,3,1,7,5] => [[[[[.,.],.],.],[.,.]],[[.,.],.]]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [8,6,5,3,2,1,4,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [7,8,4,3,5,2,6,1] => [8,6,5,3,2,1,7,4] => [[[[[[.,.],.],.],.],.],[[.,.],.]]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [8,7,5,4,2,3,6,1] => [8,3,6,2,4,1,5,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,2,3,6,1] => [8,3,6,2,4,1,7,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [7,8,4,5,2,3,6,1] => [8,3,6,5,2,1,7,4] => [[[[.,.],[[.,.],.]],.],[[.,.],.]]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [8,7,4,3,2,5,6,1] => [8,5,2,3,6,1,4,7] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [7,8,4,3,2,5,6,1] => [8,5,2,3,6,1,7,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [8,7,3,4,2,5,6,1] => [8,5,4,2,6,1,3,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [7,8,3,4,2,5,6,1] => [8,5,4,2,6,1,7,3] => [[[[[.,.],.],.],[.,.]],[[.,.],.]]
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [7,8,4,2,3,5,6,1] => [8,3,5,2,6,1,7,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [8,4,2,5,6,1,7,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [8,3,4,5,6,1,2,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [8,3,4,5,6,1,7,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [8,7,2,3,4,5,1,6] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [8,7,4,2,6,3,1,5] => [[[[[.,.],.],.],[[.,.],.]],[.,.]]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [8,7,5,3,2,4,1,6] => [[[[[[.,.],.],.],.],[.,.]],[.,.]]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [8,6,3,4,5,2,7,1] => [8,7,4,5,2,3,1,6] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [8,7,6,3,4,2,1,5] => [[[[[[.,.],.],.],[.,.]],.],[.,.]]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [8,7,6,5,3,2,1,4] => [[[[[[[.,.],.],.],.],.],.],[.,.]]
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [8,5,3,4,6,2,7,1] => [8,7,4,6,3,2,1,5] => [[[[[[.,.],.],[.,.]],.],.],[.,.]]
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [8,5,6,4,2,3,7,1] => [8,3,7,2,6,4,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,2,3,7,1] => [8,3,7,6,4,2,1,5] => [[[[.,.],[[[.,.],.],.]],.],[.,.]]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [8,6,4,3,2,5,7,1] => [8,5,2,3,7,4,1,6] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [8,3,5,2,7,4,1,6] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [8,3,4,5,7,2,1,6] => [[[[.,.],[.,[.,[.,.]]]],.],[.,.]]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [8,6,2,3,4,7,1,5] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [8,6,4,2,3,7,1,5] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [8,6,4,5,2,7,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [8,4,5,2,3,6,7,1] => [8,3,6,5,2,7,1,4] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [8,5,4,2,6,7,1,3] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [8,4,2,5,6,7,1,3] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [8,3,4,5,6,7,1,2] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [8,7,2,3,4,5,6,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [8,7,2,3,6,5,4,1] => [[[[.,.],.],[.,[[[.,.],.],.]]],.]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [8,7,2,6,4,5,3,1] => [[[[.,.],.],[[[.,.],[.,.]],.]],.]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [6,4,5,7,3,2,8,1] => [8,7,2,5,6,4,3,1] => [[[[.,.],.],[[[.,[.,.]],.],.]],.]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [8,7,2,4,5,6,3,1] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [8,7,4,2,6,3,5,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [8,7,4,2,6,5,3,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [7,6,4,3,5,2,8,1] => [8,7,5,3,2,4,6,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.]
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [6,7,4,3,5,2,8,1] => [8,7,5,3,2,6,4,1] => [[[[[[.,.],.],.],.],[[.,.],.]],.]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [8,7,6,3,4,2,5,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [8,7,6,5,3,2,4,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [7,5,3,4,6,2,8,1] => [8,7,4,6,3,2,5,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [7,3,4,5,6,2,8,1] => [8,7,4,5,6,2,3,1] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [8,7,6,3,4,5,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.]
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [5,6,4,3,7,2,8,1] => [8,7,6,3,5,4,2,1] => [[[[[[.,.],.],.],[[.,.],.]],.],.]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [8,7,6,5,3,4,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [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] => [8,7,4,6,3,5,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [8,7,4,6,5,3,2,1] => [[[[[[.,.],.],[[.,.],.]],.],.],.]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [8,7,5,3,6,4,2,1] => [[[[[[.,.],.],.],[[.,.],.]],.],.]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [6,3,4,5,7,2,8,1] => [8,7,4,5,6,3,2,1] => [[[[[[.,.],.],[.,[.,.]]],.],.],.]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [8,7,5,3,4,6,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [8,7,5,4,3,6,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [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] => [8,3,7,2,4,5,6,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,2,3,8,1] => [8,3,7,2,6,4,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,2,3,8,1] => [8,3,7,2,6,5,4,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.]
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,2,3,8,1] => [8,3,7,5,2,4,6,1] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [8,3,7,5,2,6,4,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [5,6,4,7,2,3,8,1] => [8,3,7,6,5,4,2,1] => [[[[.,.],[[[[.,.],.],.],.]],.],.]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [8,3,7,5,6,4,2,1] => [[[[.,.],[[[.,.],[.,.]],.]],.],.]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [8,3,7,5,4,6,2,1] => [[[[.,.],[[[.,.],.],[.,.]]],.],.]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [8,3,7,4,5,6,2,1] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [7,6,5,3,2,4,8,1] => [8,4,2,7,3,5,6,1] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [8,3,4,7,2,5,6,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [7,5,6,2,3,4,8,1] => [8,3,4,7,6,2,5,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [7,6,4,3,2,5,8,1] => [8,5,2,3,7,4,6,1] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [7,6,3,4,2,5,8,1] => [8,5,4,2,7,3,6,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [7,6,4,2,3,5,8,1] => [8,3,5,2,7,4,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [8,4,2,5,7,3,6,1] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [8,4,2,5,7,6,3,1] => [[[[.,.],.],[[.,[[.,.],.]],.]],.]
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [8,3,4,5,7,6,2,1] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [8,3,6,2,4,7,5,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [8,4,2,6,3,7,5,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [7,4,3,2,5,6,8,1] => [8,5,2,3,6,7,4,1] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [8,4,2,5,6,7,3,1] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [8,3,4,5,6,7,2,1] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [8,6,2,3,4,5,7,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [6,4,5,3,2,7,8,1] => [8,6,2,5,3,4,7,1] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [8,6,2,5,4,3,7,1] => [[[[.,.],.],[[[.,.],.],[.,.]]],.]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [8,6,2,4,5,3,7,1] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [6,5,3,4,2,7,8,1] => [8,6,4,2,3,5,7,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [6,4,3,5,2,7,8,1] => [8,6,5,3,2,4,7,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.]
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [4,5,3,6,2,7,8,1] => [8,6,5,4,3,2,7,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [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] => [8,3,6,2,4,5,7,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [4,5,6,2,3,7,8,1] => [8,3,6,4,5,2,7,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [6,3,2,4,5,7,8,1] => [8,4,2,5,6,3,7,1] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [8,5,4,2,3,6,7,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [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] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [4,5,2,3,6,7,8,1] => [8,3,5,4,2,6,7,1] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [5,3,2,4,6,7,8,1] => [8,4,2,5,3,6,7,1] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [8,3,4,5,2,6,7,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [8,4,2,3,5,6,7,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [8,4,3,2,5,6,7,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [8,3,4,2,5,6,7,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [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] => [2,8,1,3,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [2,8,1,3,4,5,7,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [2,8,1,3,4,7,5,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [2,8,1,3,4,6,7,5] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [2,8,1,3,6,4,5,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [2,8,1,3,6,4,7,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [2,8,1,3,7,5,4,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,3,1,2] => [2,8,1,3,6,7,4,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,3,1,2] => [2,8,1,3,7,5,6,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,3,1,2] => [2,8,1,3,7,6,5,4] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,3,1,2] => [2,8,1,3,6,7,5,4] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [2,8,1,3,6,5,7,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [2,8,1,3,5,6,7,4] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [2,8,1,5,3,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [2,8,1,5,3,4,7,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [2,8,1,5,3,7,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,3,1,2] => [2,8,1,5,3,7,6,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,3,1,2] => [2,8,1,5,6,3,4,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,3,1,2] => [2,8,1,5,6,3,7,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,3,1,2] => [2,8,1,7,6,5,4,3] => [[.,[.,.]],[[[[[.,.],.],.],.],.]]
[[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [6,4,5,7,8,3,1,2] => [2,8,1,5,6,4,7,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,3,1,2] => [2,8,1,5,4,6,7,3] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [2,8,1,4,5,6,7,3] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [2,8,4,1,3,5,6,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [2,8,4,1,3,5,7,6] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,4,1,2] => [2,8,4,1,3,7,5,6] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,4,1,2] => [2,8,4,1,3,7,6,5] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [2,8,4,1,3,6,7,5] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [2,8,4,1,6,3,5,7] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [2,8,4,1,6,3,7,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,4,1,2] => [2,8,4,1,7,5,3,6] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [2,8,4,1,6,7,3,5] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [2,8,4,1,6,7,5,3] => [[.,[[.,.],.]],[[[.,[.,.]],.],.]]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [2,8,4,1,6,5,7,3] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [2,8,4,1,5,6,7,3] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,3,5,1,2] => [2,8,5,3,1,4,6,7] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,3,5,1,2] => [2,8,5,3,1,4,7,6] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,3,5,1,2] => [2,8,5,3,1,7,4,6] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,3,5,1,2] => [2,8,5,3,1,7,6,4] => [[.,[[[.,.],.],.]],[[[.,.],.],.]]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [2,8,4,5,1,3,6,7] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [2,8,4,5,1,7,3,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [7,6,8,3,4,5,1,2] => [2,8,4,5,1,7,6,3] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [6,7,8,3,4,5,1,2] => [2,8,4,5,1,6,7,3] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [2,8,6,3,4,1,7,5] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [8,7,4,5,3,6,1,2] => [2,8,6,5,3,1,4,7] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [8,7,5,3,4,6,1,2] => [2,8,4,6,3,1,5,7] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [2,8,5,3,6,1,7,4] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [8,7,3,4,5,6,1,2] => [2,8,4,5,6,1,3,7] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [2,8,4,5,6,1,7,3] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,3,7,1,2] => [2,8,7,6,4,3,1,5] => [[.,[[[[[.,.],.],.],.],.]],[.,.]]
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [8,5,6,3,4,7,1,2] => [2,8,4,7,6,3,1,5] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [8,5,4,3,6,7,1,2] => [2,8,6,3,4,7,1,5] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [8,5,3,4,6,7,1,2] => [2,8,4,6,3,7,1,5] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [2,8,5,3,6,7,1,4] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [2,8,4,5,6,7,1,3] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [2,8,7,3,4,5,6,1] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,3,8,1,2] => [2,8,7,3,4,6,5,1] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [2,8,7,5,3,6,4,1] => [[.,[[[[.,.],.],.],[[.,.],.]]],.]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [7,4,5,6,3,8,1,2] => [2,8,7,5,6,3,4,1] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [2,8,7,6,4,5,3,1] => [[.,[[[[[.,.],.],.],[.,.]],.]],.]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [2,8,7,6,5,4,3,1] => [[.,[[[[[[.,.],.],.],.],.],.]],.]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [6,4,5,7,3,8,1,2] => [2,8,7,5,6,4,3,1] => [[.,[[[[[.,.],.],[.,.]],.],.]],.]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [5,4,6,7,3,8,1,2] => [2,8,7,5,4,6,3,1] => [[.,[[[[[.,.],.],.],[.,.]],.]],.]
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [4,5,6,7,3,8,1,2] => [2,8,7,4,5,6,3,1] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.]
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [7,6,5,3,4,8,1,2] => [2,8,4,7,3,5,6,1] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [6,7,5,3,4,8,1,2] => [2,8,4,7,3,6,5,1] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [7,5,6,3,4,8,1,2] => [2,8,4,7,6,3,5,1] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [6,5,7,3,4,8,1,2] => [2,8,4,7,6,5,3,1] => [[.,[[[.,.],[[[.,.],.],.]],.]],.]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [7,6,3,4,5,8,1,2] => [2,8,4,5,7,3,6,1] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [2,8,4,5,6,7,3,1] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [2,8,6,3,4,5,7,1] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [5,6,4,3,7,8,1,2] => [2,8,6,3,5,4,7,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [2,8,4,6,5,3,7,1] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [2,8,5,3,6,4,7,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [2,8,4,5,6,3,7,1] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [2,8,5,3,4,6,7,1] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [2,8,5,4,3,6,7,1] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [5,3,4,6,7,8,1,2] => [2,8,4,5,3,6,7,1] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [2,8,4,3,5,6,7,1] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [2,8,3,4,5,6,7,1] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [3,1,8,2,4,5,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [3,1,8,2,4,5,7,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [8,6,7,5,4,2,1,3] => [3,1,8,2,4,7,5,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [3,1,8,2,4,7,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [8,7,5,6,4,2,1,3] => [3,1,8,2,6,4,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [3,1,8,2,6,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,2,1,3] => [3,1,8,2,7,5,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,2,1,3] => [3,1,8,2,6,7,4,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [3,1,8,2,7,5,6,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,2,1,3] => [3,1,8,2,7,6,5,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,2,1,3] => [3,1,8,2,6,7,5,4] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,2,1,3] => [3,1,8,2,6,5,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [3,1,8,2,5,6,7,4] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,2,1,3] => [3,1,8,5,2,4,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,2,1,3] => [3,1,8,5,2,7,4,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [7,6,8,4,5,2,1,3] => [3,1,8,5,2,7,6,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,2,1,3] => [3,1,8,6,4,2,7,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,2,1,3] => [3,1,8,5,6,2,4,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,2,1,3] => [3,1,8,5,6,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,2,1,3] => [3,1,8,5,7,4,2,6] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,2,1,3] => [3,1,8,6,4,7,2,5] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,2,1,3] => [3,1,8,5,6,7,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,2,1,3] => [3,1,8,7,6,4,5,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [3,1,8,7,6,5,4,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,2,1,3] => [3,1,8,7,5,6,4,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,2,1,3] => [3,1,8,5,7,4,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,2,1,3] => [3,1,8,6,4,7,5,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,2,1,3] => [3,1,8,5,4,6,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [3,1,8,4,5,6,7,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [2,3,8,1,4,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [2,3,8,1,4,5,7,6] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [2,3,8,1,4,6,7,5] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,1,2,3] => [2,3,8,1,6,4,7,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [2,3,8,1,6,7,4,5] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,1,2,3] => [2,3,8,1,7,6,5,4] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,1,2,3] => [2,3,8,1,6,7,5,4] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [2,3,8,1,5,6,7,4] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => [2,3,8,5,1,4,6,7] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [7,8,6,4,5,1,2,3] => [2,3,8,5,1,4,7,6] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [2,3,8,5,1,7,4,6] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,1,2,3] => [2,3,8,5,1,6,7,4] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,1,2,3] => [2,3,8,6,4,1,5,7] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,1,2,3] => [2,3,8,6,4,1,7,5] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [2,3,8,5,6,1,4,7] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [2,3,8,5,6,1,7,4] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,1,2,3] => [2,3,8,7,4,5,1,6] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]]
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [2,3,8,5,6,7,1,4] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [2,3,8,7,4,5,6,1] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,1,2,3] => [2,3,8,7,6,5,4,1] => [[.,[.,[[[[[.,.],.],.],.],.]]],.]
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [2,3,8,5,7,6,4,1] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,1,2,3] => [2,3,8,5,6,7,4,1] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [2,3,8,6,4,5,7,1] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,1,2,3] => [2,3,8,6,5,4,7,1] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.]
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [6,4,5,7,8,1,2,3] => [2,3,8,5,6,4,7,1] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,3,8,5,4,6,7,1] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [2,3,8,4,5,6,7,1] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [4,1,2,8,3,5,6,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [4,1,2,8,3,7,5,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,2,1,4] => [4,1,2,8,3,6,7,5] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [4,1,2,8,6,3,5,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [4,1,2,8,6,3,7,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [4,1,2,8,7,5,3,6] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [4,1,2,8,6,7,3,5] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [4,1,2,8,7,5,6,3] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [4,1,2,8,7,6,5,3] => [[.,.],[.,[[[[[.,.],.],.],.],.]]]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [4,1,2,8,5,6,7,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [4,3,1,8,2,5,6,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [4,3,1,8,2,7,5,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [6,7,8,5,2,3,1,4] => [4,3,1,8,2,6,7,5] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,3,1,4] => [4,3,1,8,6,2,5,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [4,3,1,8,6,2,7,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,3,1,4] => [4,3,1,8,7,5,2,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [8,5,6,7,2,3,1,4] => [4,3,1,8,6,7,2,5] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [4,3,1,8,7,5,6,2] => [[[.,.],.],[[[[.,.],.],[.,.]],.]]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [4,3,1,8,7,6,5,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [4,3,1,8,6,7,5,2] => [[[.,.],.],[[[[.,.],[.,.]],.],.]]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [6,5,7,8,2,3,1,4] => [4,3,1,8,6,5,7,2] => [[[.,.],.],[[[[.,.],.],[.,.]],.]]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [4,3,1,8,5,6,7,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [2,4,1,8,3,5,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,1,2,4] => [2,4,1,8,3,5,7,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,1,2,4] => [2,4,1,8,3,7,5,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [2,4,1,8,6,3,5,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [2,4,1,8,6,3,7,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,1,2,4] => [2,4,1,8,6,7,3,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [2,4,1,8,7,6,5,3] => [[.,[.,.]],[[[[[.,.],.],.],.],.]]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [2,4,1,8,6,7,5,3] => [[.,[.,.]],[[[[.,.],[.,.]],.],.]]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [2,4,1,8,5,6,7,3] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [3,1,4,8,2,5,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [3,1,4,8,2,5,7,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,1,3,4] => [3,1,4,8,2,7,5,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [3,1,4,8,2,6,7,5] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,1,3,4] => [3,1,4,8,6,2,5,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [3,1,4,8,6,2,7,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,1,3,4] => [3,1,4,8,7,5,2,6] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [8,5,6,7,2,1,3,4] => [3,1,4,8,6,7,2,5] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [3,1,4,8,7,6,5,2] => [[.,.],[[.,[[[[.,.],.],.],.]],.]]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [3,1,4,8,6,5,7,2] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [3,1,4,8,5,6,7,2] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [2,3,4,8,1,5,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [2,3,4,8,1,5,7,6] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [2,3,4,8,1,7,5,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [2,3,4,8,1,7,6,5] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [2,3,4,8,1,6,7,5] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [2,3,4,8,6,1,5,7] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [2,3,4,8,6,1,7,5] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [2,3,4,8,7,5,1,6] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [2,3,4,8,6,7,1,5] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [2,3,4,8,7,5,6,1] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [2,3,4,8,7,6,5,1] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [2,3,4,8,6,7,5,1] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [2,3,4,8,6,5,7,1] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [2,3,4,8,5,6,7,1] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [5,1,2,3,8,4,6,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [5,1,2,3,8,4,7,6] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [8,6,7,4,3,2,1,5] => [5,1,2,3,8,7,4,6] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [5,1,2,3,8,7,6,4] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [5,1,2,3,8,6,7,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [5,1,4,2,8,3,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [7,8,6,3,4,2,1,5] => [5,1,4,2,8,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [6,7,8,3,4,2,1,5] => [5,1,4,2,8,6,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [5,3,1,2,8,4,6,7] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [7,8,6,4,2,3,1,5] => [5,3,1,2,8,4,7,6] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [8,6,7,4,2,3,1,5] => [5,3,1,2,8,7,4,6] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [5,3,1,2,8,6,7,4] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [5,4,2,1,8,3,6,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [8,6,7,3,2,4,1,5] => [5,4,2,1,8,7,3,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [7,6,8,3,2,4,1,5] => [5,4,2,1,8,7,6,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [5,3,4,1,8,2,6,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [7,8,6,2,3,4,1,5] => [5,3,4,1,8,2,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [2,5,1,3,8,4,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [7,8,6,4,3,1,2,5] => [2,5,1,3,8,4,7,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [8,6,7,4,3,1,2,5] => [2,5,1,3,8,7,4,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [2,5,1,3,8,6,7,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [2,5,4,1,8,3,6,7] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [7,8,6,3,4,1,2,5] => [2,5,4,1,8,3,7,6] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [2,5,4,1,8,7,3,6] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [7,6,8,3,4,1,2,5] => [2,5,4,1,8,7,6,3] => [[.,[[.,.],.]],[[[[.,.],.],.],.]]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [2,5,4,1,8,6,7,3] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [3,1,5,2,8,4,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,2,1,3,5] => [3,1,5,2,8,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [3,1,5,2,8,7,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,2,1,3,5] => [3,1,5,2,8,7,6,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [6,7,8,4,2,1,3,5] => [3,1,5,2,8,6,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [2,3,5,1,8,4,6,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [2,3,5,1,8,4,7,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,1,2,3,5] => [2,3,5,1,8,7,4,6] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [4,1,2,5,8,3,6,7] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [7,8,6,3,2,1,4,5] => [4,1,2,5,8,3,7,6] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [8,6,7,3,2,1,4,5] => [4,1,2,5,8,7,3,6] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [4,1,2,5,8,6,7,3] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [4,3,1,5,8,2,6,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [7,8,6,2,3,1,4,5] => [4,3,1,5,8,2,7,6] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [7,6,8,2,3,1,4,5] => [4,3,1,5,8,7,6,2] => [[[.,.],.],[[.,[[[.,.],.],.]],.]]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [4,3,1,5,8,6,7,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [2,4,1,5,8,3,6,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [7,8,6,3,1,2,4,5] => [2,4,1,5,8,3,7,6] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [8,6,7,3,1,2,4,5] => [2,4,1,5,8,7,3,6] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [7,6,8,3,1,2,4,5] => [2,4,1,5,8,7,6,3] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [3,1,4,5,8,2,6,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [3,1,4,5,8,7,2,6] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [3,1,4,5,8,6,7,2] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [2,3,4,5,8,1,6,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [2,3,4,5,8,1,7,6] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [2,3,4,5,8,7,1,6] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [2,3,4,5,8,7,6,1] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [2,3,4,5,8,6,7,1] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [6,1,2,3,4,8,5,7] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [6,1,2,3,4,8,7,5] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [8,7,4,5,3,2,1,6] => [6,1,2,5,3,8,4,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [6,1,4,2,3,8,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [8,7,4,3,5,2,1,6] => [6,1,5,3,2,8,4,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [8,7,3,4,5,2,1,6] => [6,1,4,5,2,8,3,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [7,8,3,4,5,2,1,6] => [6,1,4,5,2,8,7,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,2,3,1,6] => [6,3,1,2,4,8,5,7] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [6,3,1,5,2,8,4,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [6,4,2,1,3,8,5,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [7,8,5,3,2,4,1,6] => [6,4,2,1,3,8,7,5] => [[[[.,.],.],.],[.,[[[.,.],.],.]]]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [8,7,5,2,3,4,1,6] => [6,3,4,1,2,8,5,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [7,8,5,2,3,4,1,6] => [6,3,4,1,2,8,7,5] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [7,8,4,3,2,5,1,6] => [6,5,2,3,1,8,7,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [7,8,4,2,3,5,1,6] => [6,3,5,2,1,8,7,4] => [[[[.,.],[.,.]],.],[[[.,.],.],.]]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [8,7,3,2,4,5,1,6] => [6,4,2,5,1,8,3,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [8,7,2,3,4,5,1,6] => [6,3,4,5,1,8,2,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [2,6,1,3,4,8,5,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [8,7,5,3,4,1,2,6] => [2,6,4,1,3,8,5,7] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [7,8,5,3,4,1,2,6] => [2,6,4,1,3,8,7,5] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [7,8,4,3,5,1,2,6] => [2,6,5,3,1,8,7,4] => [[.,[[[.,.],.],.]],[[[.,.],.],.]]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [7,8,3,4,5,1,2,6] => [2,6,4,5,1,8,7,3] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,2,1,3,6] => [3,1,6,2,4,8,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [3,1,6,2,4,8,7,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [7,8,4,5,2,1,3,6] => [3,1,6,5,2,8,7,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,1,2,3,6] => [2,3,6,1,4,8,5,7] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [2,3,6,1,4,8,7,5] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [8,7,4,5,1,2,3,6] => [2,3,6,5,1,8,4,7] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [2,3,6,5,1,8,7,4] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [4,1,2,6,3,8,5,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [7,8,5,3,2,1,4,6] => [4,1,2,6,3,8,7,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [8,7,5,2,3,1,4,6] => [4,3,1,6,2,8,5,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [2,4,1,6,3,8,5,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [3,1,4,6,2,8,5,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [3,1,4,6,2,8,7,5] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [2,3,4,6,1,8,5,7] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [2,3,4,6,1,8,7,5] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [5,1,2,3,6,8,4,7] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [5,1,2,3,6,8,7,4] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [8,7,3,4,2,1,5,6] => [5,1,4,2,6,8,3,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [7,8,3,4,2,1,5,6] => [5,1,4,2,6,8,7,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [8,7,3,2,4,1,5,6] => [5,4,2,1,6,8,3,7] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [5,4,2,1,6,8,7,3] => [[[[.,.],.],.],[[.,[[.,.],.]],.]]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [8,7,2,3,4,1,5,6] => [5,3,4,1,6,8,2,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [8,7,4,3,1,2,5,6] => [2,5,1,3,6,8,4,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [7,8,4,3,1,2,5,6] => [2,5,1,3,6,8,7,4] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [8,7,3,4,1,2,5,6] => [2,5,4,1,6,8,3,7] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [3,1,5,2,6,8,4,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [2,3,5,1,6,8,4,7] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [4,1,2,5,6,8,3,7] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [4,1,2,5,6,8,7,3] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [4,3,1,5,6,8,7,2] => [[[.,.],.],[[.,[.,[[.,.],.]]],.]]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [3,1,4,5,6,8,2,7] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [3,1,4,5,6,8,7,2] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [2,3,4,5,6,8,1,7] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [2,3,4,5,6,8,7,1] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,8,6] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [7,1,2,3,6,4,8,5] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [8,6,4,5,3,2,1,7] => [7,1,2,5,3,4,8,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [8,5,4,6,3,2,1,7] => [7,1,2,6,4,3,8,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [7,1,2,5,6,3,8,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [7,1,4,2,3,5,8,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [8,5,6,3,4,2,1,7] => [7,1,4,2,6,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [8,6,4,3,5,2,1,7] => [7,1,5,3,2,4,8,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [8,5,4,3,6,2,1,7] => [7,1,6,3,4,2,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [7,1,5,3,6,2,8,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [8,3,4,5,6,2,1,7] => [7,1,4,5,6,2,8,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [7,3,1,2,4,5,8,6] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [8,5,6,4,2,3,1,7] => [7,3,1,2,6,4,8,5] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,2,3,1,7] => [7,3,1,5,2,4,8,6] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [8,4,5,6,2,3,1,7] => [7,3,1,5,6,2,8,4] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [8,6,5,2,3,4,1,7] => [7,3,4,1,2,5,8,6] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [8,5,6,2,3,4,1,7] => [7,3,4,1,6,2,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [8,6,4,3,2,5,1,7] => [7,5,2,3,1,4,8,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [7,4,2,5,1,3,8,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [7,6,2,3,4,1,8,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [8,4,5,3,2,6,1,7] => [7,6,2,5,3,1,8,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [7,6,5,3,2,1,8,4] => [[[[[[.,.],.],.],.],.],[[.,.],.]]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [8,3,4,5,2,6,1,7] => [7,6,4,5,2,1,8,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [7,3,6,5,2,1,8,4] => [[[[.,.],[[.,.],.]],.],[[.,.],.]]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [8,3,4,2,5,6,1,7] => [7,5,4,2,6,1,8,3] => [[[[[.,.],.],.],[.,.]],[[.,.],.]]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [8,4,2,3,5,6,1,7] => [7,3,5,2,6,1,8,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [7,3,4,5,6,1,8,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [2,7,1,3,4,5,8,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,3,1,2,7] => [2,7,1,5,3,4,8,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [2,7,4,1,3,5,8,6] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [2,7,4,1,6,3,8,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [8,6,4,3,5,1,2,7] => [2,7,5,3,1,4,8,6] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [8,6,3,4,5,1,2,7] => [2,7,4,5,1,3,8,6] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [8,5,4,3,6,1,2,7] => [2,7,6,3,4,1,8,5] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [8,5,3,4,6,1,2,7] => [2,7,4,6,3,1,8,5] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]]
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [2,7,4,5,6,1,8,3] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [3,1,7,2,4,5,8,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,2,1,3,7] => [3,1,7,2,6,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,2,1,3,7] => [3,1,7,5,2,4,8,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [8,5,4,6,2,1,3,7] => [3,1,7,6,4,2,8,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [2,3,7,1,4,5,8,6] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [2,3,7,1,6,4,8,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [2,3,7,5,1,4,8,6] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [2,3,7,5,6,1,8,4] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [4,1,2,7,3,5,8,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [8,5,6,3,2,1,4,7] => [4,1,2,7,6,3,8,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [4,3,1,7,2,5,8,6] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [4,3,1,7,6,2,8,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [8,6,5,3,1,2,4,7] => [2,4,1,7,3,5,8,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [8,5,6,3,1,2,4,7] => [2,4,1,7,6,3,8,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [3,1,4,7,2,5,8,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [3,1,4,7,6,2,8,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [2,3,4,7,1,5,8,6] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [2,3,4,7,6,1,8,5] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [5,1,2,3,7,4,8,6] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [5,1,4,2,7,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [8,6,4,2,3,1,5,7] => [5,3,1,2,7,4,8,6] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [8,6,2,3,4,1,5,7] => [5,3,4,1,7,2,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [8,6,4,3,1,2,5,7] => [2,5,1,3,7,4,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [2,5,4,1,7,3,8,6] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [3,1,5,2,7,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [2,3,5,1,7,4,8,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [8,6,3,2,1,4,5,7] => [4,1,2,5,7,3,8,6] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [8,6,2,3,1,4,5,7] => [4,3,1,5,7,2,8,6] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [2,3,4,5,7,1,8,6] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [6,1,2,3,4,7,8,5] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [8,4,5,3,2,1,6,7] => [6,1,2,5,3,7,8,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [6,1,4,5,2,7,8,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [8,5,4,2,3,1,6,7] => [6,3,1,2,4,7,8,5] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [8,4,5,2,3,1,6,7] => [6,3,1,5,2,7,8,4] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [8,5,3,2,4,1,6,7] => [6,4,2,1,3,7,8,5] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [6,3,4,1,2,7,8,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]]
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [6,3,4,5,1,7,8,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [8,5,4,3,1,2,6,7] => [2,6,1,3,4,7,8,5] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [8,5,3,4,1,2,6,7] => [2,6,4,1,3,7,8,5] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [8,3,4,5,1,2,6,7] => [2,6,4,5,1,7,8,3] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [8,5,4,2,1,3,6,7] => [3,1,6,2,4,7,8,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [8,4,5,2,1,3,6,7] => [3,1,6,5,2,7,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [2,3,6,1,4,7,8,5] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [8,4,5,1,2,3,6,7] => [2,3,6,5,1,7,8,4] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [8,5,3,2,1,4,6,7] => [4,1,2,6,3,7,8,5] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [2,4,1,6,3,7,8,5] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [3,1,4,6,2,7,8,5] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [2,3,4,6,1,7,8,5] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [5,1,2,3,6,7,8,4] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [5,1,4,2,6,7,8,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [5,3,1,2,6,7,8,4] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [8,3,2,4,1,5,6,7] => [5,4,2,1,6,7,8,3] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [5,3,4,1,6,7,8,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [8,4,3,1,2,5,6,7] => [2,5,1,3,6,7,8,4] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [2,5,4,1,6,7,8,3] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [3,1,5,2,6,7,8,4] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [2,3,5,1,6,7,8,4] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [4,1,2,5,6,7,8,3] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [4,3,1,5,6,7,8,2] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [2,4,1,5,6,7,8,3] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [3,1,4,5,6,7,8,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,8,1] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,1,2,3,4,5,6,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [7,1,2,3,4,6,5,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [7,1,2,3,6,4,5,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [7,1,2,3,6,5,4,8] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [7,1,2,3,5,6,4,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [7,1,2,5,3,4,6,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [7,5,4,6,3,2,1,8] => [7,1,2,6,4,3,5,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [7,1,2,6,4,5,3,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [7,1,2,6,5,4,3,8] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [7,1,2,5,4,6,3,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [7,1,2,4,5,6,3,8] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [7,1,4,2,3,5,6,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [7,1,4,2,6,3,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [6,5,7,3,4,2,1,8] => [7,1,4,2,6,5,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [7,1,4,2,5,6,3,8] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [7,1,5,3,2,4,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [7,1,4,5,2,3,6,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [7,1,6,3,4,2,5,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [7,4,5,3,6,2,1,8] => [7,1,6,5,3,2,4,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [7,1,6,3,5,4,2,8] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [7,1,6,5,4,3,2,8] => [[.,.],[[[[[.,.],.],.],.],[.,.]]]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [5,6,3,4,7,2,1,8] => [7,1,4,6,5,3,2,8] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [6,4,3,5,7,2,1,8] => [7,1,5,3,6,4,2,8] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [7,1,3,4,5,6,2,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [7,3,1,2,4,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [7,3,1,2,4,6,5,8] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [7,3,1,2,6,4,5,8] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [7,3,1,2,5,6,4,8] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [7,3,1,5,2,4,6,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [7,3,1,5,2,6,4,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [7,4,5,6,2,3,1,8] => [7,3,1,5,6,2,4,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [7,3,1,6,5,4,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]]
[[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [6,4,5,7,2,3,1,8] => [7,3,1,5,6,4,2,8] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [4,5,6,7,2,3,1,8] => [7,3,1,4,5,6,2,8] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [7,4,2,1,6,5,3,8] => [[[[.,.],.],.],[[[.,.],.],[.,.]]]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [7,4,2,1,5,6,3,8] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [7,3,4,1,2,5,6,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [7,3,4,1,2,6,5,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [7,3,4,1,6,2,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [7,3,4,1,6,5,2,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [7,3,4,1,5,6,2,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [7,6,4,3,2,5,1,8] => [7,5,2,3,1,4,6,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [6,7,3,4,2,5,1,8] => [7,5,4,2,1,6,3,8] => [[[[[.,.],.],.],.],[[.,.],[.,.]]]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [7,3,5,2,1,4,6,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [6,7,4,2,3,5,1,8] => [7,3,5,2,1,6,4,8] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [7,4,2,5,1,3,6,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [6,7,3,2,4,5,1,8] => [7,4,2,5,1,6,3,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [7,6,2,3,4,1,5,8] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [7,4,5,3,2,6,1,8] => [7,6,2,5,3,1,4,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [7,5,3,4,2,6,1,8] => [7,6,4,2,3,1,5,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [7,4,3,5,2,6,1,8] => [7,6,5,3,2,1,4,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [7,3,4,5,2,6,1,8] => [7,6,4,5,2,1,3,8] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [7,4,5,2,3,6,1,8] => [7,3,6,5,2,1,4,8] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [7,5,2,3,4,6,1,8] => [7,3,4,6,2,1,5,8] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [7,6,2,3,4,5,1,8] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [7,6,2,3,5,4,1,8] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [7,6,2,5,4,3,1,8] => [[[[.,.],.],[[[.,.],.],.]],[.,.]]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [7,6,4,2,5,3,1,8] => [[[[[.,.],.],.],[[.,.],.]],[.,.]]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [6,4,3,5,2,7,1,8] => [7,6,5,3,2,4,1,8] => [[[[[[.,.],.],.],.],[.,.]],[.,.]]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [7,6,4,5,2,3,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [7,6,5,3,4,2,1,8] => [[[[[[.,.],.],.],[.,.]],.],[.,.]]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [7,6,5,4,3,2,1,8] => [[[[[[[.,.],.],.],.],.],.],[.,.]]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [7,6,4,5,3,2,1,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [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] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [4,5,6,2,3,7,1,8] => [7,3,6,4,5,2,1,8] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [7,4,2,6,3,5,1,8] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [7,3,5,2,6,4,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [6,3,2,4,5,7,1,8] => [7,4,2,5,6,3,1,8] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [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] => [7,3,5,2,4,6,1,8] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [4,5,2,3,6,7,1,8] => [7,3,5,4,2,6,1,8] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [5,3,2,4,6,7,1,8] => [7,4,2,5,3,6,1,8] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [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] => [2,7,1,3,4,5,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [2,7,1,3,6,4,5,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [6,5,7,4,3,1,2,8] => [2,7,1,3,6,5,4,8] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [5,6,7,4,3,1,2,8] => [2,7,1,3,5,6,4,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,3,1,2,8] => [2,7,1,5,3,4,6,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [6,7,5,3,4,1,2,8] => [2,7,4,1,3,6,5,8] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [6,5,7,3,4,1,2,8] => [2,7,4,1,6,5,3,8] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [5,6,4,3,7,1,2,8] => [2,7,6,3,5,4,1,8] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [5,4,6,3,7,1,2,8] => [2,7,6,5,4,3,1,8] => [[.,[[[[[.,.],.],.],.],.]],[.,.]]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [2,7,4,6,5,3,1,8] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [6,4,3,5,7,1,2,8] => [2,7,5,3,6,4,1,8] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [6,3,4,5,7,1,2,8] => [2,7,4,5,6,3,1,8] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [2,7,3,4,5,6,1,8] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [3,1,7,2,4,5,6,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [5,6,7,4,2,1,3,8] => [3,1,7,2,5,6,4,8] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,2,1,3,8] => [3,1,7,5,2,4,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [7,4,5,6,2,1,3,8] => [3,1,7,5,6,2,4,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [6,5,4,7,2,1,3,8] => [3,1,7,6,4,5,2,8] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [5,6,4,7,2,1,3,8] => [3,1,7,6,5,4,2,8] => [[.,.],[[[[[.,.],.],.],.],[.,.]]]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [2,3,7,1,4,5,6,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,1,2,3,8] => [2,3,7,1,6,5,4,8] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [2,3,7,1,5,6,4,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [2,3,7,6,5,4,1,8] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]]
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [6,4,5,7,1,2,3,8] => [2,3,7,5,6,4,1,8] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [2,3,7,5,4,6,1,8] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [4,1,2,7,3,5,6,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [5,6,7,3,2,1,4,8] => [4,1,2,7,5,6,3,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [7,5,6,2,3,1,4,8] => [4,3,1,7,6,2,5,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [2,4,1,7,5,6,3,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [7,5,6,2,1,3,4,8] => [3,1,4,7,6,2,5,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [3,1,4,7,5,6,2,8] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [2,3,4,7,1,5,6,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [2,3,4,7,1,6,5,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [2,3,4,7,6,1,5,8] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [2,3,4,7,6,5,1,8] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [2,3,4,7,5,6,1,8] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [6,7,4,3,2,1,5,8] => [5,1,2,3,7,6,4,8] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [7,6,3,4,2,1,5,8] => [5,1,4,2,7,3,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [7,6,4,2,3,1,5,8] => [5,3,1,2,7,4,6,8] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [7,6,3,2,4,1,5,8] => [5,4,2,1,7,3,6,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [6,7,3,2,4,1,5,8] => [5,4,2,1,7,6,3,8] => [[[[.,.],.],.],[[[.,.],.],[.,.]]]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [6,7,4,3,1,2,5,8] => [2,5,1,3,7,6,4,8] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [3,1,5,2,7,4,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [4,1,2,5,7,3,6,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [6,7,3,2,1,4,5,8] => [4,1,2,5,7,6,3,8] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [7,6,2,3,1,4,5,8] => [4,3,1,5,7,2,6,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [2,3,4,5,7,1,6,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [2,3,4,5,7,6,1,8] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [6,1,2,3,4,7,5,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [7,3,4,5,2,1,6,8] => [6,1,4,5,2,7,3,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [7,5,4,2,3,1,6,8] => [6,3,1,2,4,7,5,8] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [7,5,2,3,4,1,6,8] => [6,3,4,1,2,7,5,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [7,4,2,3,5,1,6,8] => [6,3,5,2,1,7,4,8] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [7,3,2,4,5,1,6,8] => [6,4,2,5,1,7,3,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [7,5,4,3,1,2,6,8] => [2,6,1,3,4,7,5,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [7,4,5,3,1,2,6,8] => [2,6,1,5,3,7,4,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [7,5,3,4,1,2,6,8] => [2,6,4,1,3,7,5,8] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [7,4,5,1,2,3,6,8] => [2,3,6,5,1,7,4,8] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [7,5,3,2,1,4,6,8] => [4,1,2,6,3,7,5,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [2,4,1,6,3,7,5,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [2,3,4,6,1,7,5,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [5,1,2,3,6,7,4,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [7,3,2,4,1,5,6,8] => [5,4,2,1,6,7,3,8] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [7,3,4,1,2,5,6,8] => [2,5,4,1,6,7,3,8] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [4,1,2,5,6,7,3,8] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [2,4,1,5,6,7,3,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [3,1,4,5,6,7,2,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [2,3,4,5,6,7,1,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,1,2,3,4,5,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [6,1,2,3,5,4,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [6,4,5,3,2,1,7,8] => [6,1,2,5,3,4,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [6,1,4,2,3,5,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [5,3,4,6,2,1,7,8] => [6,1,4,5,3,2,7,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [6,1,3,4,5,2,7,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [6,5,4,2,3,1,7,8] => [6,3,1,2,4,5,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [5,4,6,2,3,1,7,8] => [6,3,1,5,4,2,7,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [6,5,3,2,4,1,7,8] => [6,4,2,1,3,5,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [5,6,3,2,4,1,7,8] => [6,4,2,1,5,3,7,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [5,6,2,3,4,1,7,8] => [6,3,4,1,5,2,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [6,3,4,2,5,1,7,8] => [6,5,4,2,1,3,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [6,4,2,3,5,1,7,8] => [6,3,5,2,1,4,7,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [6,5,2,3,4,1,7,8] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [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] => [6,3,5,2,4,1,7,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [5,3,2,4,6,1,7,8] => [6,4,2,5,3,1,7,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [6,3,4,5,2,1,7,8] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [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] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [2,6,1,3,4,5,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [2,6,1,3,5,4,7,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [6,4,5,3,1,2,7,8] => [2,6,1,5,3,4,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [2,6,1,5,4,3,7,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [4,5,6,3,1,2,7,8] => [2,6,1,4,5,3,7,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [6,5,3,4,1,2,7,8] => [2,6,4,1,3,5,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [2,6,4,1,5,3,7,8] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [6,3,4,5,1,2,7,8] => [2,6,4,5,1,3,7,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [2,6,5,3,4,1,7,8] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [5,3,4,6,1,2,7,8] => [2,6,4,5,3,1,7,8] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [2,6,3,4,5,1,7,8] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [3,1,6,2,5,4,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [5,4,6,2,1,3,7,8] => [3,1,6,5,4,2,7,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [2,3,6,1,4,5,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [5,6,4,1,2,3,7,8] => [2,3,6,1,5,4,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[[[[.,.],.],[[.,[.,.]],.]],.],.] => [5,4,6,1,2,3,7,8] => [2,3,6,5,4,1,7,8] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [2,3,6,4,5,1,7,8] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [4,1,2,6,5,3,7,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [6,5,3,1,2,4,7,8] => [2,4,1,6,3,5,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [5,6,3,1,2,4,7,8] => [2,4,1,6,5,3,7,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [5,6,2,1,3,4,7,8] => [3,1,4,6,5,2,7,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [6,5,1,2,3,4,7,8] => [2,3,4,6,1,5,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [5,6,1,2,3,4,7,8] => [2,3,4,6,5,1,7,8] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [5,1,2,3,6,4,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [6,3,2,4,1,5,7,8] => [5,4,2,1,6,3,7,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [6,2,3,4,1,5,7,8] => [5,3,4,1,6,2,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [2,5,1,3,6,4,7,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[[[[[.,.],[[.,.],.]],[.,.]],.],.] => [6,3,4,1,2,5,7,8] => [2,5,4,1,6,3,7,8] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [4,1,2,5,6,3,7,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [2,4,1,5,6,3,7,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [2,3,4,5,6,1,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,1,2,3,4,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [5,1,2,4,3,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [5,1,4,2,3,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [5,1,4,3,2,6,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [5,1,3,4,2,6,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [5,3,1,2,4,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [5,3,1,4,2,6,7,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [5,4,2,1,3,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [5,4,2,3,1,6,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [5,4,3,2,1,6,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [5,3,4,2,1,6,7,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [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] => [2,5,1,3,4,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [4,5,3,1,2,6,7,8] => [2,5,1,4,3,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [5,3,4,1,2,6,7,8] => [2,5,4,1,3,6,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [4,3,5,1,2,6,7,8] => [2,5,4,3,1,6,7,8] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [2,5,3,4,1,6,7,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [2,3,5,1,4,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [2,3,5,4,1,6,7,8] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [4,1,2,5,3,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [2,4,1,5,3,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [3,1,4,5,2,6,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [2,3,4,5,1,6,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,1,2,3,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [4,1,3,2,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [4,3,1,2,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [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] => [2,4,1,3,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [2,4,3,1,5,6,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [3,1,4,2,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [2,3,4,1,5,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [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] => [9,1,2,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [9,1,2,3,4,5,6,8,7] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [9,1,2,3,4,5,7,8,6] => [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [9,1,3,4,5,6,7,8,2] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [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] => [10,1,2,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [10,1,2,3,4,5,6,7,9,8] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [9,7,8,6,5,4,3,2,1] => [9,1,2,3,4,5,8,6,7] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [10,1,2,3,4,6,7,8,9,5] => [[.,.],[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [10,1,3,4,5,6,7,8,9,2] => [[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,1,2] => [2,9,3,4,5,6,7,8,1] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [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] => [9,1,2,3,4,5,8,7,6] => [[.,.],[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [9,1,2,3,4,8,6,7,5] => [[.,.],[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [9,1,2,3,8,5,6,7,4] => [[.,.],[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [9,1,2,8,4,5,6,7,3] => [[.,.],[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [9,1,8,3,4,5,6,7,2] => [[.,.],[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [9,8,2,3,4,5,6,7,1] => [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [8,1,2,3,4,5,6,7,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [10,1,2,3,4,5,6,9,8,7] => [[.,.],[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [8,6,7,9,5,4,3,2,1] => [9,1,2,3,4,7,8,6,5] => [[.,.],[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [10,1,2,3,4,5,9,7,8,6] => [[.,.],[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [8,7,5,6,9,4,3,2,1] => [9,1,2,3,6,8,5,7,4] => [[.,.],[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [10,1,2,3,4,9,6,7,8,5] => [[.,.],[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [8,7,6,4,5,9,3,2,1] => [9,1,2,5,8,4,6,7,3] => [[.,.],[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [10,1,2,3,9,5,6,7,8,4] => [[.,.],[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [8,7,6,5,3,4,9,2,1] => [9,1,4,8,3,5,6,7,2] => [[.,.],[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [10,1,2,9,4,5,6,7,8,3] => [[.,.],[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [8,7,6,5,4,2,3,9,1] => [9,3,8,2,4,5,6,7,1] => [[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]],.]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [10,1,9,3,4,5,6,7,8,2] => [[.,.],[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [2,8,1,3,4,5,6,7,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [10,9,2,3,4,5,6,7,8,1] => [[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [9,1,2,3,4,5,6,7,8,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => [2,10,4,1,6,3,8,5,9,7] => [[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [6,7,5,8,4,9,3,10,1,2] => [2,10,9,8,7,6,5,4,3,1] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]] => [8,9,7,10,3,4,2,5,1,6] => [6,5,4,2,1,10,9,8,7,3] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [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] => [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],[.,.]]
[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.] => [7,5,4,6,3,8,2,9,1,10] => [9,8,7,6,4,3,5,2,1,10] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],[.,.]]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [10,8,6,4,2,1,3,5,7,9] => [3,1,5,2,7,4,9,6,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [12,10,8,6,4,2,1,3,5,7,9,11] => [3,1,5,2,7,4,9,6,11,8,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,9,1] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,10,1] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [3,1,4,5,6,7,8,9,2] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [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] => [2,3,4,5,6,7,8,9,10,11,1] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [3,1,4,5,6,7,8,9,10,2] => [[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [2,4,1,5,6,7,8,9,3] => [[.,[.,.]],[[.,[.,[.,[.,[.,.]]]]],.]]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [9,2,3,1,4,5,6,7,8] => [4,3,1,5,6,7,8,9,2] => [[[.,.],.],[[.,[.,[.,[.,[.,.]]]]],.]]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [4,2,3,5,6,7,8,9,1] => [9,3,4,2,5,6,7,8,1] => [[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]],.]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [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] => [2,3,4,5,6,7,9,8,1] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [7,8,9,1,2,3,4,5,6] => [2,3,4,5,6,9,7,8,1] => [[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [6,7,8,9,1,2,3,4,5] => [2,3,4,5,9,6,7,8,1] => [[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]],.]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [5,6,7,8,9,1,2,3,4] => [2,3,4,9,5,6,7,8,1] => [[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [4,5,6,7,8,9,1,2,3] => [2,3,9,4,5,6,7,8,1] => [[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]],.]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,9,1,8] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,10,9,1] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [8,7,9,1,2,3,4,5,6] => [2,3,4,5,6,9,8,7,1] => [[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [8,9,10,1,2,3,4,5,6,7] => [2,3,4,5,6,7,10,8,9,1] => [[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]],.]
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [7,6,8,9,1,2,3,4,5] => [2,3,4,5,9,7,6,8,1] => [[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]],.]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [7,8,9,10,1,2,3,4,5,6] => [2,3,4,5,6,10,7,8,9,1] => [[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]],.]
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [6,5,7,8,9,1,2,3,4] => [2,3,4,9,6,5,7,8,1] => [[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]],.]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,1,2,3,4,5] => [2,3,4,5,10,6,7,8,9,1] => [[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]],.]
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [5,4,6,7,8,9,1,2,3] => [2,3,9,5,4,6,7,8,1] => [[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]],.]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [5,6,7,8,9,10,1,2,3,4] => [2,3,4,10,5,6,7,8,9,1] => [[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]],.]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [4,3,5,6,7,8,9,1,2] => [2,9,4,3,5,6,7,8,1] => [[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]],.]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [4,5,6,7,8,9,10,1,2,3] => [2,3,10,4,5,6,7,8,9,1] => [[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]],.]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,10,1,2] => [2,10,3,4,5,6,7,8,9,1] => [[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [2,9,1,3,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [8,1,2,3,4,5,7,6,9] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [2,10,1,3,4,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [10,1,2,3,4,5,6,7,8,9,11] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [9,1,2,3,4,5,6,8,7,10] => [[.,.],[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [8,1,2,3,4,7,6,5,9] => [[.,.],[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [9,7,8,6,5,4,3,1,2] => [2,9,1,3,4,5,8,6,7] => [[.,[.,.]],[.,[.,[.,[[.,.],[.,.]]]]]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [11,10,9,8,7,6,5,4,3,1,2] => [2,11,1,3,4,5,6,7,8,9,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [7,6,8,5,9,4,10,2,1,3] => [3,1,10,9,8,7,6,5,4,2] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [10,5,4,6,3,7,2,8,1,9] => [9,8,7,6,4,3,2,1,10,5] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [12,11,10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.],.]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => [10,9,11,8,12,4,3,5,2,6,1,7] => [7,6,5,3,2,1,12,11,10,9,8,4] => [[[[[[.,.],.],.],.],.],[[[[[[.,.],.],.],.],.],.]]
[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.] => [6,4,5,7,3,8,2,9,1,10] => [9,8,7,5,6,4,3,2,1,10] => [[[[[[[[.,.],.],.],[.,.]],.],.],.],[.,.]]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,2,1,3] => [3,1,9,2,4,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [9,8,7,5,4,3,2,1,6] => [6,1,2,3,4,9,5,7,8] => [[.,.],[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [9,8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,9,6,8] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,9,7] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => [2,3,9,1,4,5,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,2,3,1,4] => [4,3,1,9,2,5,6,7,8] => [[[.,.],.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,3,2,1,4] => [4,1,2,10,3,5,6,7,8,9] => [[.,.],[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,4,3,2,1,5] => [5,1,2,3,10,4,6,7,8,9] => [[.,.],[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [9,6,7,5,4,3,2,1,8] => [8,1,2,3,4,7,5,9,6] => [[.,.],[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,7,10,8] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [7,1,2,3,4,5,6,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [6,1,2,3,4,5,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [8,1,2,3,4,5,6,7,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [4,3,1,2,5,6,7,8,9] => [2,4,1,3,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,4,5,3,2,1] => [9,1,2,5,3,4,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,2,3,1] => [9,3,1,2,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,2,3,1] => [10,3,1,2,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [9,2,3,4,5,6,7,8,1] => [9,3,4,5,6,7,8,1,2] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [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] => [3,1,4,5,6,7,8,2,9] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [8,2,3,4,5,6,7,9,1] => [9,3,4,5,6,7,8,2,1] => [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [10,2,3,4,5,6,7,8,9,1] => [10,3,4,5,6,7,8,9,1,2] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [4,2,1,3,5,6,7,8,9] => [3,1,4,2,5,6,7,8,9] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [5,3,2,1,4,6,7,8,9] => [4,1,2,5,3,6,7,8,9] => [[.,.],[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.] => [6,4,3,2,1,5,7,8,9] => [5,1,2,3,6,4,7,8,9] => [[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.] => [7,5,4,3,2,1,6,8,9] => [6,1,2,3,4,7,5,8,9] => [[.,.],[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [8,6,5,4,3,2,1,7,9] => [7,1,2,3,4,5,8,6,9] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [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] => [4,3,1,2,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [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] => [2,3,4,1,5,6,7,8,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [5,1,2,3,4,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [6,1,2,3,4,5,7,8,9] => [2,3,4,5,6,1,7,8,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [2,3,4,5,6,7,1,8,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [2,3,4,5,6,7,8,1,9] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [5,1,2,3,4,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [7,1,2,3,4,5,6,8,9,10] => [2,3,4,5,6,7,1,8,9,10] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [8,1,2,3,4,5,6,7,9,10] => [2,3,4,5,6,7,8,1,9,10] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [2,3,4,5,6,7,8,9,1,10] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [9,3,4,5,6,7,8,1,2] => [2,9,4,5,6,7,8,1,3] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],[.,.]]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [9,7,6,5,4,3,2,8,1] => [9,8,2,3,4,5,6,1,7] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],[.,.]]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [9,7,6,5,4,3,1,2,8] => [2,8,1,3,4,5,6,9,7] => [[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [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] => [2,3,10,1,4,5,6,7,8,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[.,[[[[[[.,.],.],.],.],[[.,.],.]],.]] => [7,8,2,3,4,5,6,9,1] => [9,3,4,5,6,8,7,2,1] => [[[[.,.],[.,[.,[.,[[.,.],.]]]]],.],.]
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [4,5,1,2,3,6,7,8,9] => [2,3,5,4,1,6,7,8,9] => [[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]]
[[[[.,[[[[.,.],.],.],.]],.],.],[.,.]] => [9,2,3,4,5,1,6,7,8] => [6,3,4,5,1,7,8,9,2] => [[[.,.],[.,[.,.]]],[[.,[.,[.,.]]],.]]
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [5,3,1,2,4,6,7,8,9] => [2,4,1,5,3,6,7,8,9] => [[.,[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [10,8,7,6,5,4,3,2,9,1] => [10,9,2,3,4,5,6,7,1,8] => [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [3,4,5,6,7,8,1,2,9] => [2,8,3,4,5,6,7,1,9] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],[.,.]]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,10,1,9] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] => [10,9,8,7,6,5,4,3,2,11,1] => [11,10,2,3,4,5,6,7,8,9,1] => [[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => [2,3,4,5,6,9,1,7,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => [2,3,4,5,9,1,6,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => [2,3,4,9,1,5,6,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [9,7,1,2,3,4,5,6,8] => [2,3,4,5,6,8,1,9,7] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,10,1,8,9] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => [2,3,4,5,6,10,1,7,8,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => [2,3,4,5,10,1,6,7,8,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => [2,3,4,10,1,5,6,7,8,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.] => [3,2,4,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[[[[[.,[.,[.,[.,.]]]],.],.],.],[.,.]] => [9,4,3,2,1,5,6,7,8] => [5,1,2,3,6,7,8,9,4] => [[.,.],[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.] => [8,7,1,2,3,4,5,6,9] => [2,3,4,5,6,8,1,7,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,2,3,1,9] => [8,3,1,2,4,5,6,7,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [9,2,3,4,5,6,7,1,8] => [8,3,4,5,6,7,1,9,2] => [[[.,.],[.,[.,[.,[.,.]]]]],[[.,.],.]]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [3,4,1,2,5,6,7,8,9] => [2,4,3,1,5,6,7,8,9] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]] => [10,11,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,11,10,1] => [[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]],.]
[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]] => [9,8,2,3,4,5,6,7,1] => [9,3,4,5,6,7,1,2,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[.,[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]] => [10,9,2,3,4,5,6,7,8,1] => [10,3,4,5,6,7,8,1,2,9] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] => [10,3,1,2,4,5,6,7,8,9] => [2,4,1,5,6,7,8,9,10,3] => [[.,[.,.]],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]] => [9,2,3,4,5,6,1,7,8] => [7,3,4,5,6,1,8,9,2] => [[[.,.],[.,[.,[.,.]]]],[[.,[.,.]],.]]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [10,8,7,6,5,4,3,1,2,9] => [2,9,1,3,4,5,6,7,10,8] => [[.,[.,.]],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[[.,[[[[[.,.],.],.],.],.]],[.,[.,.]]] => [9,8,2,3,4,5,6,1,7] => [7,3,4,5,6,1,9,2,8] => [[[.,.],[.,[.,[.,.]]]],[[.,.],[.,.]]]
[.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]] => [9,3,4,5,6,7,8,2,1] => [9,1,4,5,6,7,8,2,3] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
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.
Map
first fundamental transformation
Description
Return the permutation whose cycles are the subsequences between successive left to right maxima.
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.