- FindStat

Identifier

Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00073: Permutations —major-index to inversion-number bijection⟶ Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees

Images

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 1554 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [8,6,3,5,2,4,1,7] => [1,3,6,4,7,5,8,2] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]]

[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => [8,6,4,3,2,5,1,7] => [1,3,5,6,7,4,8,2] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]

[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [8,6,3,4,2,5,1,7] => [1,3,6,5,7,4,8,2] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]]

[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [8,6,4,3,2,1,5,7] => [1,3,5,6,7,8,4,2] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]

[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [8,6,4,2,1,3,5,7] => [1,3,5,7,8,6,4,2] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]

[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [8,6,4,1,2,3,5,7] => [1,3,5,8,7,6,4,2] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]]

[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [8,6,3,4,2,1,5,7] => [1,3,6,5,7,8,4,2] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]]

[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [8,6,2,4,1,3,5,7] => [1,3,7,5,8,6,4,2] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]]

[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [8,6,3,2,4,1,5,7] => [1,3,6,7,5,8,4,2] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]]

[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [8,6,3,2,1,4,5,7] => [1,3,6,7,8,5,4,2] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]]

[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [8,6,3,1,2,4,5,7] => [1,3,6,8,7,5,4,2] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]]

[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [8,6,2,1,3,4,5,7] => [1,3,7,8,6,5,4,2] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]]

[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [8,6,1,2,3,4,5,7] => [1,3,8,7,6,5,4,2] => [.,[[.,[[[[[.,.],.],.],.],.]],.]]

[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [8,5,6,4,3,2,1,7] => [1,4,3,5,6,7,8,2] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]

[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [8,4,6,5,2,1,3,7] => [1,5,3,4,7,8,6,2] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]]

[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [8,3,6,5,1,2,4,7] => [1,6,3,4,8,7,5,2] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]]

[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [8,3,6,2,5,1,4,7] => [1,6,3,7,4,8,5,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]]

[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [8,3,6,2,4,1,5,7] => [1,6,3,7,5,8,4,2] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]]

[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [8,3,6,2,1,4,5,7] => [1,6,3,7,8,5,4,2] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]]

[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [8,4,3,6,5,1,2,7] => [1,5,6,3,4,8,7,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]]

[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [8,4,3,6,2,1,5,7] => [1,5,6,3,7,8,4,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]]

[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [8,3,2,6,1,4,5,7] => [1,6,7,3,8,5,4,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]]

[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [8,4,5,6,3,2,1,7] => [1,5,4,3,6,7,8,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]]

[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [8,4,2,3,6,1,5,7] => [1,5,7,6,3,8,4,2] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]]

[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [8,4,5,3,6,2,1,7] => [1,5,4,6,3,7,8,2] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]]

[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [8,3,4,2,6,1,5,7] => [1,6,5,7,3,8,4,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]]

[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [8,2,3,4,6,1,5,7] => [1,7,6,5,3,8,4,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]]

[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [8,5,4,3,2,6,1,7] => [1,4,5,6,7,3,8,2] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]

[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [8,5,3,4,2,6,1,7] => [1,4,6,5,7,3,8,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]]

[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [8,5,3,2,4,6,1,7] => [1,4,6,7,5,3,8,2] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]]

[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [2,5,4,3,7,6,8,1] => [8,4,5,3,2,6,1,7] => [1,5,4,6,7,3,8,2] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]]

[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [8,4,3,5,2,6,1,7] => [1,5,6,4,7,3,8,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]]

[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [8,3,4,2,5,6,1,7] => [1,6,5,7,4,3,8,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]]

[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [8,3,2,4,5,6,1,7] => [1,6,7,5,4,3,8,2] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]]

[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [8,2,3,4,5,6,1,7] => [1,7,6,5,4,3,8,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]]

[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [8,5,4,3,2,1,6,7] => [1,4,5,6,7,8,3,2] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]

[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [8,5,4,1,2,3,6,7] => [1,4,5,8,7,6,3,2] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]]

[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => [8,5,2,4,1,3,6,7] => [1,4,7,5,8,6,3,2] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]]

[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [8,5,2,3,4,1,6,7] => [1,4,7,6,5,8,3,2] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]]

[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [8,5,3,2,1,4,6,7] => [1,4,6,7,8,5,3,2] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]]

[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [8,5,2,1,3,4,6,7] => [1,4,7,8,6,5,3,2] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]]

[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [8,5,1,2,3,4,6,7] => [1,4,8,7,6,5,3,2] => [.,[[[.,[[[[.,.],.],.],.]],.],.]]

[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [8,4,5,3,2,1,6,7] => [1,5,4,6,7,8,3,2] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]]

[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => [8,3,5,4,1,2,6,7] => [1,6,4,5,8,7,3,2] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]]

[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [8,3,5,2,1,4,6,7] => [1,6,4,7,8,5,3,2] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]]

[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => [8,2,5,1,3,4,6,7] => [1,7,4,8,6,5,3,2] => [.,[[[[.,.],[[[.,.],.],.]],.],.]]

[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [8,3,2,5,1,4,6,7] => [1,6,7,4,8,5,3,2] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]]

[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [8,3,4,5,2,1,6,7] => [1,6,5,4,7,8,3,2] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]]

[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [8,2,3,5,1,4,6,7] => [1,7,6,4,8,5,3,2] => [.,[[[[[.,.],.],[[.,.],.]],.],.]]

[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [8,2,3,4,5,1,6,7] => [1,7,6,5,4,8,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]]

[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [8,4,3,2,1,5,6,7] => [1,5,6,7,8,4,3,2] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]

[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => [8,4,2,3,1,5,6,7] => [1,5,7,6,8,4,3,2] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]]

[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [8,4,1,2,3,5,6,7] => [1,5,8,7,6,4,3,2] => [.,[[[[.,[[[.,.],.],.]],.],.],.]]

[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [8,2,4,1,3,5,6,7] => [1,7,5,8,6,4,3,2] => [.,[[[[[.,.],[[.,.],.]],.],.],.]]

[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [8,3,2,4,1,5,6,7] => [1,6,7,5,8,4,3,2] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]]

[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [8,2,3,4,1,5,6,7] => [1,7,6,5,8,4,3,2] => [.,[[[[[[.,.],.],[.,.]],.],.],.]]

[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [8,3,2,1,4,5,6,7] => [1,6,7,8,5,4,3,2] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]]

[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [8,3,1,2,4,5,6,7] => [1,6,8,7,5,4,3,2] => [.,[[[[[.,[[.,.],.]],.],.],.],.]]

[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [8,2,3,1,4,5,6,7] => [1,7,6,8,5,4,3,2] => [.,[[[[[[.,.],[.,.]],.],.],.],.]]

[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [8,2,1,3,4,5,6,7] => [1,7,8,6,5,4,3,2] => [.,[[[[[[.,[.,.]],.],.],.],.],.]]

[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [8,1,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [.,[[[[[[[.,.],.],.],.],.],.],.]]

[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [7,8,6,5,4,3,2,1] => [2,1,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]

[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [6,8,7,5,4,3,1,2] => [3,1,2,4,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]

[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,8,7,5,4,2,3,1] => [3,1,2,4,5,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]

[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [6,8,7,5,4,2,1,3] => [3,1,2,4,5,7,8,6] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]

[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [5,8,7,6,4,1,2,3] => [4,1,2,3,5,8,7,6] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]

[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [6,8,7,5,3,2,4,1] => [3,1,2,4,6,7,5,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]

[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [6,8,7,5,3,2,1,4] => [3,1,2,4,6,7,8,5] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]

[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [5,8,7,6,3,1,2,4] => [4,1,2,3,6,8,7,5] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]]

[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,8,7,6,2,3,1,4] => [4,1,2,3,7,6,8,5] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]

[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [5,8,7,6,2,1,3,4] => [4,1,2,3,7,8,6,5] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]]

[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [4,8,7,6,1,2,3,5] => [5,1,2,3,8,7,6,4] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]]

[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,8,7,3,6,4,1,2] => [4,1,2,6,3,5,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]

[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,8,7,3,6,2,4,1] => [4,1,2,6,3,7,5,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]

[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,8,7,2,6,1,3,5] => [5,1,2,7,3,8,6,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]]

[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [5,8,7,3,2,6,1,4] => [4,1,2,6,7,3,8,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]

[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,8,7,3,4,6,2,1] => [4,1,2,6,5,3,7,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]

[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,6,5,4,8,7,3,2] => [6,8,7,4,3,2,5,1] => [3,1,2,5,6,7,4,8] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]

[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [5,8,7,3,2,4,6,1] => [4,1,2,6,7,5,3,8] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]]

[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [6,8,7,4,3,2,1,5] => [3,1,2,5,6,7,8,4] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]

[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,8,7,3,4,2,1,6] => [4,1,2,6,5,7,8,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]

[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [5,8,7,3,2,1,4,6] => [4,1,2,6,7,8,5,3] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]]

[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => [4,8,7,2,1,3,5,6] => [5,1,2,7,8,6,4,3] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]]

[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,8,5,7,4,3,2,1] => [3,1,4,2,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]

[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,8,4,7,6,2,3,1] => [4,1,5,2,3,7,6,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]

[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,8,4,7,3,6,2,1] => [4,1,5,2,6,3,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]

[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,8,3,7,2,6,1,5] => [5,1,6,2,7,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]

[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,8,3,7,2,5,6,1] => [5,1,6,2,7,4,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]]

[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,8,3,7,5,1,2,6] => [5,1,6,2,4,8,7,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]]

[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,8,3,7,2,5,1,6] => [5,1,6,2,7,4,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]]

[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,8,3,7,2,1,5,6] => [5,1,6,2,7,8,4,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]]

[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,8,2,7,1,4,5,6] => [6,1,7,2,8,5,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]]

[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [6,8,5,4,7,3,2,1] => [3,1,4,5,2,6,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]

[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [5,8,4,3,7,6,1,2] => [4,1,5,6,2,3,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]

[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [4,8,3,2,7,1,5,6] => [5,1,6,7,2,8,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]]

[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,8,2,4,7,1,5,6] => [6,1,7,5,2,8,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]]

[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [4,8,3,5,2,7,1,6] => [5,1,6,4,7,2,8,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]]

[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [5,8,4,3,6,7,2,1] => [4,1,5,6,3,2,7,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]

[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [4,8,3,2,5,7,1,6] => [5,1,6,7,4,2,8,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]]

[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,8,3,5,6,7,2,1] => [5,1,6,4,3,2,7,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]]

[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,8,2,4,5,7,1,6] => [6,1,7,5,4,2,8,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]]

[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [6,8,5,4,3,2,7,1] => [3,1,4,5,6,7,2,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]

[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [6,8,5,4,3,2,1,7] => [3,1,4,5,6,7,8,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]

[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [5,8,6,4,3,1,2,7] => [4,1,3,5,6,8,7,2] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]]

[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [5,8,6,4,2,1,3,7] => [4,1,3,5,7,8,6,2] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]]

[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [4,8,6,2,1,3,5,7] => [5,1,3,7,8,6,4,2] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]]

[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [3,8,6,1,2,4,5,7] => [6,1,3,8,7,5,4,2] => [[.,.],[[.,[[[[.,.],.],.],.]],.]]

[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,8,3,6,2,5,1,7] => [5,1,6,3,7,4,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]]

[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,8,3,6,2,1,5,7] => [5,1,6,3,7,8,4,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]]

[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,8,2,6,1,4,5,7] => [6,1,7,3,8,5,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]]

[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [4,8,3,2,6,1,5,7] => [5,1,6,7,3,8,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]]

[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,8,2,4,6,1,5,7] => [6,1,7,5,3,8,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]]

[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [4,8,3,5,2,6,1,7] => [5,1,6,4,7,3,8,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]]

[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [5,8,4,3,2,1,6,7] => [4,1,5,6,7,8,3,2] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]]

[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,8,2,5,1,4,6,7] => [6,1,7,4,8,5,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]]

[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [4,8,3,2,5,1,6,7] => [5,1,6,7,4,8,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]]

[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [4,8,3,2,1,5,6,7] => [5,1,6,7,8,4,3,2] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]]

[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [3,8,2,4,1,5,6,7] => [6,1,7,5,8,4,3,2] => [[.,.],[[[[[.,.],[.,.]],.],.],.]]

[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [3,8,2,1,4,5,6,7] => [6,1,7,8,5,4,3,2] => [[.,.],[[[[[.,[.,.]],.],.],.],.]]

[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [2,8,1,3,4,5,6,7] => [7,1,8,6,5,4,3,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]]

[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [7,6,8,5,4,3,2,1] => [2,3,1,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]

[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [6,5,8,7,4,3,1,2] => [3,4,1,2,5,6,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]

[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [6,5,8,7,4,2,3,1] => [3,4,1,2,5,7,6,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]

[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [6,5,8,7,4,2,1,3] => [3,4,1,2,5,7,8,6] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]

[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [5,4,8,7,6,1,2,3] => [4,5,1,2,3,8,7,6] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]

[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [6,5,8,7,3,4,2,1] => [3,4,1,2,6,5,7,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]

[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [5,4,8,7,2,6,1,3] => [4,5,1,2,7,3,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]

[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [6,5,8,7,3,2,4,1] => [3,4,1,2,6,7,5,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]

[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [5,4,8,7,2,3,6,1] => [4,5,1,2,7,6,3,8] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]

[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [6,5,8,7,3,2,1,4] => [3,4,1,2,6,7,8,5] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]

[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [5,4,8,7,3,1,2,6] => [4,5,1,2,6,8,7,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]

[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [5,4,8,7,2,3,1,6] => [4,5,1,2,7,6,8,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]

[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [5,4,8,7,2,1,3,6] => [4,5,1,2,7,8,6,3] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]]

[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [4,3,8,7,1,2,5,6] => [5,6,1,2,8,7,4,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]]

[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [6,5,8,4,7,3,2,1] => [3,4,1,5,2,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]

[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [5,4,8,3,7,6,1,2] => [4,5,1,6,2,3,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]

[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [5,4,8,3,7,2,6,1] => [4,5,1,6,2,7,3,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]

[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [2,1,4,7,6,8,5,3] => [5,4,8,3,7,2,1,6] => [4,5,1,6,2,7,8,3] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]

[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [4,3,8,2,7,1,5,6] => [5,6,1,7,2,8,4,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]]

[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [6,5,8,4,3,7,2,1] => [3,4,1,5,6,2,7,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]

[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [5,4,8,3,2,7,1,6] => [4,5,1,6,7,2,8,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]

[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [5,4,8,3,6,7,2,1] => [4,5,1,6,3,2,7,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]

[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [4,3,8,2,5,7,1,6] => [5,6,1,7,4,2,8,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]]

[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [6,5,8,4,3,2,7,1] => [3,4,1,5,6,7,2,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]

[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [5,4,8,6,2,3,7,1] => [4,5,1,3,7,6,2,8] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]]

[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [5,4,8,3,6,2,7,1] => [4,5,1,6,3,7,2,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]

[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [5,4,8,3,2,6,7,1] => [4,5,1,6,7,3,2,8] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]]

[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [4,3,8,2,5,6,7,1] => [5,6,1,7,4,3,2,8] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]]

[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [6,5,8,4,3,2,1,7] => [3,4,1,5,6,7,8,2] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]

[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [5,4,8,6,2,3,1,7] => [4,5,1,3,7,6,8,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]]

[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [4,3,8,2,6,1,5,7] => [5,6,1,7,3,8,4,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]]

[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [5,4,8,3,2,6,1,7] => [4,5,1,6,7,3,8,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]]

[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [4,3,8,5,1,2,6,7] => [5,6,1,4,8,7,3,2] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]]

[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [4,3,8,2,1,5,6,7] => [5,6,1,7,8,4,3,2] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]]

[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [3,2,8,1,4,5,6,7] => [6,7,1,8,5,4,3,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]]

[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,7,8,5,4,3,2,1] => [3,2,1,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]

[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,5,8,7,6,1,2,3] => [5,4,1,2,3,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]]

[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,2,5,8,7,6,4,3] => [5,6,8,7,3,4,2,1] => [4,3,1,2,6,5,7,8] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]]

[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,5,8,7,2,3,6,1] => [5,4,1,2,7,6,3,8] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]]

[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,6,8,7,3,2,1,4] => [4,3,1,2,6,7,8,5] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]]

[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,4,8,7,1,2,5,6] => [6,5,1,2,8,7,4,3] => [[[.,.],.],[.,[[[[.,.],.],.],.]]]

[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => [4,5,8,3,7,6,1,2] => [5,4,1,6,2,3,8,7] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]]

[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,5,8,3,7,2,6,1] => [5,4,1,6,2,7,3,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]

[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,2,4,7,6,8,5,3] => [4,5,8,3,7,2,1,6] => [5,4,1,6,2,7,8,3] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]]

[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,4,8,2,7,1,5,6] => [6,5,1,7,2,8,4,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]]

[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,2,5,4,7,8,6,3] => [4,5,8,3,2,7,1,6] => [5,4,1,6,7,2,8,3] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]]

[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,5,8,3,6,7,2,1] => [5,4,1,6,3,2,7,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]]

[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,4,8,2,5,7,1,6] => [6,5,1,7,4,2,8,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]]

[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [4,5,8,3,2,6,7,1] => [5,4,1,6,7,3,2,8] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]]

[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,4,8,2,5,6,7,1] => [6,5,1,7,4,3,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]]

[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,6,8,4,3,2,1,7] => [4,3,1,5,6,7,8,2] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]]

[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,4,8,6,1,2,5,7] => [6,5,1,3,8,7,4,2] => [[[.,.],.],[[.,[[[.,.],.],.]],.]]

[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,5,8,3,6,2,1,7] => [5,4,1,6,3,7,8,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]]

[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,5,8,3,2,1,6,7] => [5,4,1,6,7,8,3,2] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]]

[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [1,2,4,6,5,7,8,3] => [3,4,8,2,5,1,6,7] => [6,5,1,7,4,8,3,2] => [[[.,.],.],[[[[.,.],[.,.]],.],.]]

[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,3,8,1,4,5,6,7] => [7,6,1,8,5,4,3,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]]

[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [7,6,5,8,4,3,2,1] => [2,3,4,1,5,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]

[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [6,5,4,8,7,3,1,2] => [3,4,5,1,2,6,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]

[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [6,5,4,8,7,2,1,3] => [3,4,5,1,2,7,8,6] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]

[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [5,4,3,8,7,1,2,6] => [4,5,6,1,2,8,7,3] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]

[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [6,5,4,8,3,7,2,1] => [3,4,5,1,6,2,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]

[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [5,4,3,8,2,7,1,6] => [4,5,6,1,7,2,8,3] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]

[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [6,5,4,8,3,2,7,1] => [3,4,5,1,6,7,2,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]

[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [5,4,3,8,2,6,7,1] => [4,5,6,1,7,3,2,8] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]

[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [6,5,4,8,3,2,1,7] => [3,4,5,1,6,7,8,2] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]

[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [5,4,3,8,2,6,1,7] => [4,5,6,1,7,3,8,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]

[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [5,4,3,8,2,1,6,7] => [4,5,6,1,7,8,3,2] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]

[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [4,3,2,8,1,5,6,7] => [5,6,7,1,8,4,3,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]]

[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [7,5,6,8,4,3,2,1] => [2,4,3,1,5,6,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]

[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [6,4,5,8,3,2,1,7] => [3,5,4,1,6,7,8,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]]

[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [5,3,4,8,2,6,1,7] => [4,6,5,1,7,3,8,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]]

[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [4,2,3,8,1,5,6,7] => [5,7,6,1,8,4,3,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]]

[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [6,7,5,8,4,3,2,1] => [3,2,4,1,5,6,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]

[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [5,6,4,8,7,2,3,1] => [4,3,5,1,2,7,6,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]

[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [5,6,4,8,3,7,2,1] => [4,3,5,1,6,2,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]

[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [4,5,3,8,2,7,1,6] => [5,4,6,1,7,2,8,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]]

[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [5,6,4,8,3,2,1,7] => [4,3,5,1,6,7,8,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]]

[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [4,5,3,8,6,1,2,7] => [5,4,6,1,3,8,7,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]]

[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [4,5,3,8,2,6,1,7] => [5,4,6,1,7,3,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]]

[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [4,5,3,8,2,1,6,7] => [5,4,6,1,7,8,3,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]]

[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [3,4,2,8,1,5,6,7] => [6,5,7,1,8,4,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]]

[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [6,5,7,8,4,3,2,1] => [3,4,2,1,5,6,7,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]

[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [5,4,6,8,7,3,1,2] => [4,5,3,1,2,6,8,7] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]]

[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [2,1,3,5,7,6,8,4] => [4,3,5,8,2,6,1,7] => [5,6,4,1,7,3,8,2] => [[[.,[.,.]],.],[[[.,.],[.,.]],.]]

[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [3,2,4,8,1,5,6,7] => [6,7,5,1,8,4,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]]

[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,6,7,8,4,3,2,1] => [4,3,2,1,5,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]

[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,5,6,8,7,2,3,1] => [5,4,3,1,2,7,6,8] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]]

[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,5,6,8,3,7,2,1] => [5,4,3,1,6,2,7,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]]

[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,4,5,8,2,7,1,6] => [6,5,4,1,7,2,8,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]]

[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [4,5,6,8,3,2,7,1] => [5,4,3,1,6,7,2,8] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]]

[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,5,6,8,3,2,1,7] => [5,4,3,1,6,7,8,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]]

[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,3,4,8,1,5,6,7] => [7,6,5,1,8,4,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]]

[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [7,6,5,4,8,3,2,1] => [2,3,4,5,1,6,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]

[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [6,5,4,3,8,7,1,2] => [3,4,5,6,1,2,8,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]

[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [6,5,4,3,8,2,7,1] => [3,4,5,6,1,7,2,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]

[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [6,5,4,3,8,2,1,7] => [3,4,5,6,1,7,8,2] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]

[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [5,4,3,2,8,1,6,7] => [4,5,6,7,1,8,3,2] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]

[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [7,6,4,5,8,3,2,1] => [2,3,5,4,1,6,7,8] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]

[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [6,5,3,4,8,7,1,2] => [3,4,6,5,1,2,8,7] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]

[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [6,5,3,4,8,2,1,7] => [3,4,6,5,1,7,8,2] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]]

[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [5,4,2,3,8,1,6,7] => [4,5,7,6,1,8,3,2] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]]

[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [7,5,6,4,8,3,2,1] => [2,4,3,5,1,6,7,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]

[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [6,4,5,3,8,7,1,2] => [3,5,4,6,1,2,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]]

[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [6,4,5,3,8,2,7,1] => [3,5,4,6,1,7,2,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]

[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [6,4,5,3,8,2,1,7] => [3,5,4,6,1,7,8,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]

[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [7,5,4,6,8,3,2,1] => [2,4,5,3,1,6,7,8] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]

[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [6,4,3,5,8,7,1,2] => [3,5,6,4,1,2,8,7] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]]

[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [6,4,3,5,8,2,7,1] => [3,5,6,4,1,7,2,8] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]]

[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [6,4,3,5,8,2,1,7] => [3,5,6,4,1,7,8,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]]

[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [5,3,2,4,8,1,6,7] => [4,6,7,5,1,8,3,2] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]]

[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [7,4,5,6,8,3,2,1] => [2,5,4,3,1,6,7,8] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]

[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [6,3,4,5,8,7,1,2] => [3,6,5,4,1,2,8,7] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]]

[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [6,3,4,5,8,2,7,1] => [3,6,5,4,1,7,2,8] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]]

[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [5,2,3,4,8,1,6,7] => [4,7,6,5,1,8,3,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]]

[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [6,7,5,4,8,3,2,1] => [3,2,4,5,1,6,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]

[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [5,6,4,3,8,2,1,7] => [4,3,5,6,1,7,8,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]]

[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [4,5,3,2,8,1,6,7] => [5,4,6,7,1,8,3,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]]

[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [5,7,4,6,8,3,2,1] => [4,2,5,3,1,6,7,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]

[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [4,6,3,5,8,7,1,2] => [5,3,6,4,1,2,8,7] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]]

[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [4,6,3,5,8,2,7,1] => [5,3,6,4,1,7,2,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]]

[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [6,5,7,4,8,3,2,1] => [3,4,2,5,1,6,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]

[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [5,4,6,3,8,7,1,2] => [4,5,3,6,1,2,8,7] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]

[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [5,4,6,3,8,2,7,1] => [4,5,3,6,1,7,2,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]

[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [4,3,5,2,8,1,6,7] => [5,6,4,7,1,8,3,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]]

[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [5,6,7,4,8,3,2,1] => [4,3,2,5,1,6,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]

[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [4,5,6,3,8,7,1,2] => [5,4,3,6,1,2,8,7] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]]

[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [4,5,6,3,8,2,1,7] => [5,4,3,6,1,7,8,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]]

[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [6,5,4,7,8,3,2,1] => [3,4,5,2,1,6,7,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]

[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [5,4,3,6,8,7,1,2] => [4,5,6,3,1,2,8,7] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]]

[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [5,4,3,6,8,2,1,7] => [4,5,6,3,1,7,8,2] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]]

[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [6,4,5,7,8,3,2,1] => [3,5,4,2,1,6,7,8] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]

[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [5,3,4,6,8,7,1,2] => [4,6,5,3,1,2,8,7] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]]

[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [5,3,4,6,8,2,1,7] => [4,6,5,3,1,7,8,2] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]]

[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [4,2,3,5,8,1,6,7] => [5,7,6,4,1,8,3,2] => [[[.,[[.,.],.]],.],[[[.,.],.],.]]

[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [5,6,4,7,8,3,2,1] => [4,3,5,2,1,6,7,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]

[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [4,5,3,6,8,2,1,7] => [5,4,6,3,1,7,8,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]]

[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [5,4,6,7,8,3,2,1] => [4,5,3,2,1,6,7,8] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]

[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [4,3,5,6,8,7,1,2] => [5,6,4,3,1,2,8,7] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]]

[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,5,6,7,8,3,2,1] => [5,4,3,2,1,6,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]]

[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,4,5,6,8,7,1,2] => [6,5,4,3,1,2,8,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]]

[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,4,5,6,8,2,1,7] => [6,5,4,3,1,7,8,2] => [[[[[.,.],.],.],.],[[.,[.,.]],.]]

[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,3,4,5,8,1,6,7] => [7,6,5,4,1,8,3,2] => [[[[[.,.],.],.],.],[[[.,.],.],.]]

[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [7,6,5,4,3,8,2,1] => [2,3,4,5,6,1,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]

[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [6,5,4,3,2,8,1,7] => [3,4,5,6,7,1,8,2] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]

[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [7,6,5,3,4,8,2,1] => [2,3,4,6,5,1,7,8] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]

[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [6,5,3,4,2,8,1,7] => [3,4,6,5,7,1,8,2] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]]

[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [7,6,4,3,5,8,2,1] => [2,3,5,6,4,1,7,8] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]

[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [7,6,3,4,5,8,2,1] => [2,3,6,5,4,1,7,8] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]

[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [6,4,5,3,2,8,1,7] => [3,5,4,6,7,1,8,2] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]]

[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [6,3,5,2,4,8,1,7] => [3,6,4,7,5,1,8,2] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]]

[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [6,4,3,5,2,8,1,7] => [3,5,6,4,7,1,8,2] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]]

[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [7,5,4,3,6,8,2,1] => [2,4,5,6,3,1,7,8] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]

[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [6,4,3,2,5,8,1,7] => [3,5,6,7,4,1,8,2] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]]

[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [7,5,3,4,6,8,2,1] => [2,4,6,5,3,1,7,8] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]]

[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [6,4,2,3,5,8,1,7] => [3,5,7,6,4,1,8,2] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]]

[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [6,2,3,4,5,8,1,7] => [3,7,6,5,4,1,8,2] => [[.,[[[[.,.],.],.],.]],[[.,.],.]]

[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [6,7,5,4,3,8,2,1] => [3,2,4,5,6,1,7,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]

[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [5,6,4,3,2,8,1,7] => [4,3,5,6,7,1,8,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]]

[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [4,6,3,5,2,8,1,7] => [5,3,6,4,7,1,8,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]]

[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [4,6,3,2,5,8,1,7] => [5,3,6,7,4,1,8,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]]

[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [4,7,3,5,6,8,2,1] => [5,2,6,4,3,1,7,8] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]]

[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6] => [6,5,7,4,3,8,2,1] => [3,4,2,5,6,1,7,8] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]

[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [5,4,7,3,6,8,2,1] => [4,5,2,6,3,1,7,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]]

[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [5,6,7,4,3,8,2,1] => [4,3,2,5,6,1,7,8] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]]

[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [4,5,6,3,2,8,1,7] => [5,4,3,6,7,1,8,2] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]]

[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [4,5,7,3,6,8,2,1] => [5,4,2,6,3,1,7,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]]

[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [3,4,6,2,5,8,1,7] => [6,5,3,7,4,1,8,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]]

[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [5,6,4,7,3,8,2,1] => [4,3,5,2,6,1,7,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]]

[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [4,5,3,6,2,8,1,7] => [5,4,6,3,7,1,8,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]]

[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [5,4,6,7,3,8,2,1] => [4,5,3,2,6,1,7,8] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]]

[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [4,3,5,6,2,8,1,7] => [5,6,4,3,7,1,8,2] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]]

[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [4,5,6,7,3,8,2,1] => [5,4,3,2,6,1,7,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]]

[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [3,4,5,6,2,8,1,7] => [6,5,4,3,7,1,8,2] => [[[[[.,.],.],.],[.,.]],[[.,.],.]]

[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [6,5,4,3,7,8,2,1] => [3,4,5,6,2,1,7,8] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]

[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [5,4,3,2,6,8,1,7] => [4,5,6,7,3,1,8,2] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]

[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [5,3,2,4,6,8,1,7] => [4,6,7,5,3,1,8,2] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]]

[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [6,3,4,5,7,8,2,1] => [3,6,5,4,2,1,7,8] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]]

[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [4,5,3,2,6,8,1,7] => [5,4,6,7,3,1,8,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]]

[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [4,6,3,5,7,8,2,1] => [5,3,6,4,2,1,7,8] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]]

[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [5,4,3,6,7,8,2,1] => [4,5,6,3,2,1,7,8] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]]

[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [4,3,2,5,6,8,1,7] => [5,6,7,4,3,1,8,2] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]]

[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [4,2,3,5,6,8,1,7] => [5,7,6,4,3,1,8,2] => [[[[.,[[.,.],.]],.],.],[[.,.],.]]

[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [4,5,3,6,7,8,2,1] => [5,4,6,3,2,1,7,8] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]]

[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [3,4,2,5,6,8,1,7] => [6,5,7,4,3,1,8,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]]

[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [4,3,5,6,7,8,2,1] => [5,6,4,3,2,1,7,8] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]]

[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,4,5,6,7,8,2,1] => [6,5,4,3,2,1,7,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]]

[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,3,4,5,6,8,1,7] => [7,6,5,4,3,1,8,2] => [[[[[[.,.],.],.],.],.],[[.,.],.]]

[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [7,6,5,4,3,2,8,1] => [2,3,4,5,6,7,1,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]

[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [7,6,5,4,2,3,8,1] => [2,3,4,5,7,6,1,8] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]

[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [7,6,5,3,4,2,8,1] => [2,3,4,6,5,7,1,8] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]

[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [7,6,5,3,2,4,8,1] => [2,3,4,6,7,5,1,8] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]

[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [7,6,5,2,3,4,8,1] => [2,3,4,7,6,5,1,8] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]

[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [7,6,4,5,3,2,8,1] => [2,3,5,4,6,7,1,8] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]

[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [7,6,3,5,2,4,8,1] => [2,3,6,4,7,5,1,8] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]]

[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [7,6,4,3,5,2,8,1] => [2,3,5,6,4,7,1,8] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]

[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [7,6,4,3,2,5,8,1] => [2,3,5,6,7,4,1,8] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]

[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [7,6,4,2,3,5,8,1] => [2,3,5,7,6,4,1,8] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]]

[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [7,6,3,2,4,5,8,1] => [2,3,6,7,5,4,1,8] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]]

[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7] => [7,6,2,3,4,5,8,1] => [2,3,7,6,5,4,1,8] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]]

[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [7,5,6,4,3,2,8,1] => [2,4,3,5,6,7,1,8] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]

[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [7,4,6,3,5,2,8,1] => [2,5,3,6,4,7,1,8] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]]

[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [7,3,4,6,2,5,8,1] => [2,6,5,3,7,4,1,8] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]]

[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [7,5,4,3,6,2,8,1] => [2,4,5,6,3,7,1,8] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]

[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [7,4,5,3,6,2,8,1] => [2,5,4,6,3,7,1,8] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]

[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [7,5,4,3,2,6,8,1] => [2,4,5,6,7,3,1,8] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]

[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [7,5,3,2,4,6,8,1] => [2,4,6,7,5,3,1,8] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]]

[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [7,4,5,3,2,6,8,1] => [2,5,4,6,7,3,1,8] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]]

[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [7,3,5,2,4,6,8,1] => [2,6,4,7,5,3,1,8] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]]

[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [7,4,3,5,2,6,8,1] => [2,5,6,4,7,3,1,8] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]]

[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [7,4,3,2,5,6,8,1] => [2,5,6,7,4,3,1,8] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]]

[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [7,4,2,3,5,6,8,1] => [2,5,7,6,4,3,1,8] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]]

[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [7,2,3,4,5,6,8,1] => [2,7,6,5,4,3,1,8] => [[.,[[[[[.,.],.],.],.],.]],[.,.]]

[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [6,7,5,4,3,2,8,1] => [3,2,4,5,6,7,1,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]

[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [5,7,6,3,2,4,8,1] => [4,2,3,6,7,5,1,8] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]]

[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [3,7,2,4,5,6,8,1] => [6,2,7,5,4,3,1,8] => [[[.,.],[[[[.,.],.],.],.]],[.,.]]

[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [6,5,7,4,3,2,8,1] => [3,4,2,5,6,7,1,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]

[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [5,4,7,6,2,3,8,1] => [4,5,2,3,7,6,1,8] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]

[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [5,4,7,3,6,2,8,1] => [4,5,2,6,3,7,1,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]

[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [5,4,7,3,2,6,8,1] => [4,5,2,6,7,3,1,8] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]]

[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [4,3,7,2,5,6,8,1] => [5,6,2,7,4,3,1,8] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]]

[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [4,5,3,7,2,6,8,1] => [5,4,6,2,7,3,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]]

[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [4,3,5,7,2,6,8,1] => [5,6,4,2,7,3,1,8] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]]

[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [4,5,6,7,3,2,8,1] => [5,4,3,2,6,7,1,8] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]]

[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [3,4,5,7,2,6,8,1] => [6,5,4,2,7,3,1,8] => [[[[[.,.],.],.],[[.,.],.]],[.,.]]

[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [6,5,4,3,7,2,8,1] => [3,4,5,6,2,7,1,8] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]

[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [6,5,3,4,7,2,8,1] => [3,4,6,5,2,7,1,8] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]

[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [6,4,5,3,7,2,8,1] => [3,5,4,6,2,7,1,8] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]

[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [6,4,3,5,7,2,8,1] => [3,5,6,4,2,7,1,8] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]]

[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [4,6,3,5,7,2,8,1] => [5,3,6,4,2,7,1,8] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]]

[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [5,4,6,3,7,2,8,1] => [4,5,3,6,2,7,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]

[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [4,5,6,3,7,2,8,1] => [5,4,3,6,2,7,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]]

[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [4,3,5,6,7,2,8,1] => [5,6,4,3,2,7,1,8] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]]

[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [3,4,5,6,7,2,8,1] => [6,5,4,3,2,7,1,8] => [[[[[[.,.],.],.],.],[.,.]],[.,.]]

[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [6,5,4,3,2,7,8,1] => [3,4,5,6,7,2,1,8] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]

[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [6,5,2,3,4,7,8,1] => [3,4,7,6,5,2,1,8] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]]

[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [6,3,5,2,4,7,8,1] => [3,6,4,7,5,2,1,8] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]]

[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [6,4,3,5,2,7,8,1] => [3,5,6,4,7,2,1,8] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]]

[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [6,3,4,5,2,7,8,1] => [3,6,5,4,7,2,1,8] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]]

[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [4,6,5,2,3,7,8,1] => [5,3,4,7,6,2,1,8] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]]

[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [4,6,3,5,2,7,8,1] => [5,3,6,4,7,2,1,8] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]]

[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [4,3,6,2,5,7,8,1] => [5,6,3,7,4,2,1,8] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]]

[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [4,5,6,3,2,7,8,1] => [5,4,3,6,7,2,1,8] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]]

[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [4,3,5,6,2,7,8,1] => [5,6,4,3,7,2,1,8] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]]

[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [3,4,5,6,2,7,8,1] => [6,5,4,3,7,2,1,8] => [[[[[[.,.],.],.],[.,.]],.],[.,.]]

[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [5,4,3,2,6,7,8,1] => [4,5,6,7,3,2,1,8] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]

[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [3,4,2,1,5,6,8,7] => [5,4,2,3,6,7,8,1] => [4,5,7,6,3,2,1,8] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]]

[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [5,2,3,4,6,7,8,1] => [4,7,6,5,3,2,1,8] => [[[[.,[[[.,.],.],.]],.],.],[.,.]]

[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [4,5,3,2,6,7,8,1] => [5,4,6,7,3,2,1,8] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]]

[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [3,5,2,4,6,7,8,1] => [6,4,7,5,3,2,1,8] => [[[[[.,.],[[.,.],.]],.],.],[.,.]]

[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [4,3,5,2,6,7,8,1] => [5,6,4,7,3,2,1,8] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]]

[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [3,4,5,2,6,7,8,1] => [6,5,4,7,3,2,1,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]]

[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [4,3,2,5,6,7,8,1] => [5,6,7,4,3,2,1,8] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]]

[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [4,2,3,5,6,7,8,1] => [5,7,6,4,3,2,1,8] => [[[[[.,[[.,.],.]],.],.],.],[.,.]]

[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [3,4,2,5,6,7,8,1] => [6,5,7,4,3,2,1,8] => [[[[[[.,.],[.,.]],.],.],.],[.,.]]

[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [3,2,4,5,6,7,8,1] => [6,7,5,4,3,2,1,8] => [[[[[[.,[.,.]],.],.],.],.],[.,.]]

[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,7,8,1] => [7,6,5,4,3,2,1,8] => [[[[[[[.,.],.],.],.],.],.],[.,.]]

[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,8,1] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]

[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [7,6,5,4,3,1,2,8] => [2,3,4,5,6,8,7,1] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]

[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [7,6,5,4,2,3,1,8] => [2,3,4,5,7,6,8,1] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]

[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [7,6,5,4,2,1,3,8] => [2,3,4,5,7,8,6,1] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]

[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [7,6,5,4,1,2,3,8] => [2,3,4,5,8,7,6,1] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]

[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [7,6,5,3,4,2,1,8] => [2,3,4,6,5,7,8,1] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]

[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => [7,6,5,2,4,1,3,8] => [2,3,4,7,5,8,6,1] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.]

[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [7,6,5,3,2,4,1,8] => [2,3,4,6,7,5,8,1] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]

[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [7,6,5,2,3,4,1,8] => [2,3,4,7,6,5,8,1] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]

[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [7,6,5,3,2,1,4,8] => [2,3,4,6,7,8,5,1] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]

[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [7,6,5,3,1,2,4,8] => [2,3,4,6,8,7,5,1] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.]

[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [7,6,5,2,3,1,4,8] => [2,3,4,7,6,8,5,1] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.]

[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [7,6,5,1,2,3,4,8] => [2,3,4,8,7,6,5,1] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.]

[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [7,6,3,5,2,4,1,8] => [2,3,6,4,7,5,8,1] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]

[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [7,6,4,3,5,2,1,8] => [2,3,5,6,4,7,8,1] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]

[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [7,6,3,4,5,2,1,8] => [2,3,6,5,4,7,8,1] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]

[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [7,6,4,3,2,5,1,8] => [2,3,5,6,7,4,8,1] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]

[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [4,5,3,7,6,2,1,8] => [7,6,4,2,3,5,1,8] => [2,3,5,7,6,4,8,1] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.]

[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [7,6,4,3,2,1,5,8] => [2,3,5,6,7,8,4,1] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]

[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [7,6,4,3,1,2,5,8] => [2,3,5,6,8,7,4,1] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.]

[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [7,6,4,2,1,3,5,8] => [2,3,5,7,8,6,4,1] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.]

[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [7,6,3,2,1,4,5,8] => [2,3,6,7,8,5,4,1] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.]

[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [7,6,1,2,3,4,5,8] => [2,3,8,7,6,5,4,1] => [[.,[.,[[[[[.,.],.],.],.],.]]],.]

[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [7,5,6,4,3,2,1,8] => [2,4,3,5,6,7,8,1] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]

[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [7,4,6,5,3,1,2,8] => [2,5,3,4,6,8,7,1] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.]

[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [7,4,6,5,2,3,1,8] => [2,5,3,4,7,6,8,1] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.]

[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [7,3,6,4,1,2,5,8] => [2,6,3,5,8,7,4,1] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.]

[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [7,3,6,2,1,4,5,8] => [2,6,3,7,8,5,4,1] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.]

[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [7,5,4,6,3,2,1,8] => [2,4,5,3,6,7,8,1] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]

[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [7,4,3,6,5,1,2,8] => [2,5,6,3,4,8,7,1] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.]

[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [7,4,3,6,2,5,1,8] => [2,5,6,3,7,4,8,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.]

[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [7,4,3,6,2,1,5,8] => [2,5,6,3,7,8,4,1] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.]

[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [7,3,2,6,1,4,5,8] => [2,6,7,3,8,5,4,1] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.]

[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [7,3,4,6,2,5,1,8] => [2,6,5,3,7,4,8,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.]

[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [7,3,4,6,2,1,5,8] => [2,6,5,3,7,8,4,1] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.]

[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [7,2,3,6,1,4,5,8] => [2,7,6,3,8,5,4,1] => [[.,[[[.,.],.],[[[.,.],.],.]]],.]

[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [7,5,3,4,6,2,1,8] => [2,4,6,5,3,7,8,1] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.]

[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [7,4,2,3,6,1,5,8] => [2,5,7,6,3,8,4,1] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.]

[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [7,3,2,4,6,1,5,8] => [2,6,7,5,3,8,4,1] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.]

[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [7,3,4,5,6,2,1,8] => [2,6,5,4,3,7,8,1] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.]

[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [7,5,4,3,2,6,1,8] => [2,4,5,6,7,3,8,1] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]

[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [7,5,3,4,2,6,1,8] => [2,4,6,5,7,3,8,1] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.]

[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [7,5,3,2,4,6,1,8] => [2,4,6,7,5,3,8,1] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.]

[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [7,4,3,2,5,6,1,8] => [2,5,6,7,4,3,8,1] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.]

[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [7,2,3,4,5,6,1,8] => [2,7,6,5,4,3,8,1] => [[.,[[[[[.,.],.],.],.],[.,.]]],.]

[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [7,5,4,3,2,1,6,8] => [2,4,5,6,7,8,3,1] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]

[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [7,5,4,2,1,3,6,8] => [2,4,5,7,8,6,3,1] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.]

[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [3,6,5,4,2,7,1,8] => [7,5,3,4,2,1,6,8] => [2,4,6,5,7,8,3,1] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.]

[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [7,5,2,4,1,3,6,8] => [2,4,7,5,8,6,3,1] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.]

[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [7,5,3,2,1,4,6,8] => [2,4,6,7,8,5,3,1] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.]

[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [7,5,3,1,2,4,6,8] => [2,4,6,8,7,5,3,1] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.]

[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [7,5,2,1,3,4,6,8] => [2,4,7,8,6,5,3,1] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.]

[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [7,5,1,2,3,4,6,8] => [2,4,8,7,6,5,3,1] => [[.,[[.,[[[[.,.],.],.],.]],.]],.]

[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [7,3,5,2,1,4,6,8] => [2,6,4,7,8,5,3,1] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.]

[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [2,4,5,6,3,7,1,8] => [7,2,5,1,3,4,6,8] => [2,7,4,8,6,5,3,1] => [[.,[[[.,.],[[[.,.],.],.]],.]],.]

[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [7,4,3,5,2,1,6,8] => [2,5,6,4,7,8,3,1] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.]

[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [7,2,3,5,1,4,6,8] => [2,7,6,4,8,5,3,1] => [[.,[[[[.,.],.],[[.,.],.]],.]],.]

[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => [7,4,3,2,5,1,6,8] => [2,5,6,7,4,8,3,1] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.]

[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [7,2,3,4,5,1,6,8] => [2,7,6,5,4,8,3,1] => [[.,[[[[[.,.],.],.],[.,.]],.]],.]

[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [7,4,3,2,1,5,6,8] => [2,5,6,7,8,4,3,1] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]

[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [7,4,1,2,3,5,6,8] => [2,5,8,7,6,4,3,1] => [[.,[[[.,[[[.,.],.],.]],.],.]],.]

[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [7,3,2,1,4,5,6,8] => [2,6,7,8,5,4,3,1] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.]

[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [7,3,1,2,4,5,6,8] => [2,6,8,7,5,4,3,1] => [[.,[[[[.,[[.,.],.]],.],.],.]],.]

[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [2,4,3,5,6,7,1,8] => [7,2,3,1,4,5,6,8] => [2,7,6,8,5,4,3,1] => [[.,[[[[[.,.],[.,.]],.],.],.]],.]

[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [7,2,1,3,4,5,6,8] => [2,7,8,6,5,4,3,1] => [[.,[[[[[.,[.,.]],.],.],.],.]],.]

[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [7,1,2,3,4,5,6,8] => [2,8,7,6,5,4,3,1] => [[.,[[[[[[.,.],.],.],.],.],.]],.]

[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [6,7,5,4,3,2,1,8] => [3,2,4,5,6,7,8,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]

[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [5,7,6,4,3,1,2,8] => [4,2,3,5,6,8,7,1] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.]

[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [4,7,6,2,5,1,3,8] => [5,2,3,7,4,8,6,1] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.]

[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8] => [3,7,6,1,2,4,5,8] => [6,2,3,8,7,5,4,1] => [[[.,.],[.,[[[[.,.],.],.],.]]],.]

[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [5,7,4,6,3,2,1,8] => [4,2,5,3,6,7,8,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.]

[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,7,3,6,2,5,1,8] => [5,2,6,3,7,4,8,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.]

[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [4,7,3,6,2,1,5,8] => [5,2,6,3,7,8,4,1] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.]

[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,7,2,6,1,4,5,8] => [6,2,7,3,8,5,4,1] => [[[.,.],[[.,.],[[[.,.],.],.]]],.]

[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,7,2,4,6,1,5,8] => [6,2,7,5,3,8,4,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.]

[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [4,7,3,5,2,6,1,8] => [5,2,6,4,7,3,8,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.]

[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [4,7,3,2,5,6,1,8] => [5,2,6,7,4,3,8,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.]

[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [4,7,5,2,1,3,6,8] => [5,2,4,7,8,6,3,1] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.]

[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,7,3,5,2,1,6,8] => [5,2,6,4,7,8,3,1] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.]

[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,7,2,5,1,4,6,8] => [6,2,7,4,8,5,3,1] => [[[.,.],[[[.,.],[[.,.],.]],.]],.]

[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [4,7,3,2,5,1,6,8] => [5,2,6,7,4,8,3,1] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.]

[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,7,2,4,5,1,6,8] => [6,2,7,5,4,8,3,1] => [[[.,.],[[[[.,.],.],[.,.]],.]],.]

[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8] => [4,7,3,2,1,5,6,8] => [5,2,6,7,8,4,3,1] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.]

[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [2,7,1,3,4,5,6,8] => [7,2,8,6,5,4,3,1] => [[[.,.],[[[[[.,.],.],.],.],.]],.]

[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [6,5,7,4,3,2,1,8] => [3,4,2,5,6,7,8,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]

[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [4,3,7,2,6,1,5,8] => [5,6,2,7,3,8,4,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.]

[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,6,7,4,3,2,1,8] => [4,3,2,5,6,7,8,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]

[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [4,5,7,6,2,3,1,8] => [5,4,2,3,7,6,8,1] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.]

[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,2,4,6,5,7,3,8] => [3,4,7,2,5,1,6,8] => [6,5,2,7,4,8,3,1] => [[[[.,.],.],[[[.,.],[.,.]],.]],.]

[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [3,4,7,2,1,5,6,8] => [6,5,2,7,8,4,3,1] => [[[[.,.],.],[[[.,[.,.]],.],.]],.]

[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [6,5,4,7,3,2,1,8] => [3,4,5,2,6,7,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]

[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [5,4,3,7,2,6,1,8] => [4,5,6,2,7,3,8,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.]

[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [3,2,1,6,5,7,4,8] => [5,4,3,7,2,1,6,8] => [4,5,6,2,7,8,3,1] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.]

[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [4,3,2,7,1,5,6,8] => [5,6,7,2,8,4,3,1] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.]

[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [5,3,4,7,6,1,2,8] => [4,6,5,2,3,8,7,1] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.]

[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [5,3,4,7,2,1,6,8] => [4,6,5,2,7,8,3,1] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.]

[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [5,6,4,7,3,2,1,8] => [4,3,5,2,6,7,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.]

[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [4,5,3,7,2,6,1,8] => [5,4,6,2,7,3,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.]

[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [4,5,3,7,2,1,6,8] => [5,4,6,2,7,8,3,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.]

[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [3,4,2,7,1,5,6,8] => [6,5,7,2,8,4,3,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.]

[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,5,6,7,3,2,1,8] => [5,4,3,2,6,7,8,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.]

[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [3,4,5,7,2,1,6,8] => [6,5,4,2,7,8,3,1] => [[[[[.,.],.],.],[[.,[.,.]],.]],.]

[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [6,5,4,3,7,2,1,8] => [3,4,5,6,2,7,8,1] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]

[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [5,4,3,2,7,1,6,8] => [4,5,6,7,2,8,3,1] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.]

[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [6,4,3,5,7,2,1,8] => [3,5,6,4,2,7,8,1] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.]

[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [5,3,2,4,7,1,6,8] => [4,6,7,5,2,8,3,1] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.]

[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [5,2,3,4,7,1,6,8] => [4,7,6,5,2,8,3,1] => [[[.,[[[.,.],.],.]],[[.,.],.]],.]

[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [5,6,4,3,7,2,1,8] => [4,3,5,6,2,7,8,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.]

[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [4,5,3,2,7,1,6,8] => [5,4,6,7,2,8,3,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.]

[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [3,5,2,4,7,1,6,8] => [6,4,7,5,2,8,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.]

[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [2,1,4,3,6,7,5,8] => [4,3,5,2,7,1,6,8] => [5,6,4,7,2,8,3,1] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.]

[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [3,4,5,2,7,1,6,8] => [6,5,4,7,2,8,3,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.]

[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [5,4,3,6,7,2,1,8] => [4,5,6,3,2,7,8,1] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.]

[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,3,2,4,6,7,5,8] => [3,4,2,5,7,1,6,8] => [6,5,7,4,2,8,3,1] => [[[[[.,.],[.,.]],.],[[.,.],.]],.]

[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,4,5,6,7,2,1,8] => [6,5,4,3,2,7,8,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.]

[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [6,5,4,3,2,7,1,8] => [3,4,5,6,7,2,8,1] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]

[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [6,5,4,2,3,7,1,8] => [3,4,5,7,6,2,8,1] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.]

[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [6,5,3,4,2,7,1,8] => [3,4,6,5,7,2,8,1] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.]

[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [6,5,2,3,4,7,1,8] => [3,4,7,6,5,2,8,1] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.]

[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [6,4,5,3,2,7,1,8] => [3,5,4,6,7,2,8,1] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.]

[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [6,3,5,2,4,7,1,8] => [3,6,4,7,5,2,8,1] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.]

[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [6,4,3,5,2,7,1,8] => [3,5,6,4,7,2,8,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.]

[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [6,3,4,5,2,7,1,8] => [3,6,5,4,7,2,8,1] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.]

[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [6,4,2,3,5,7,1,8] => [3,5,7,6,4,2,8,1] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.]

[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [4,6,3,5,2,7,1,8] => [5,3,6,4,7,2,8,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.]

[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [4,6,3,2,5,7,1,8] => [5,3,6,7,4,2,8,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.]

[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [3,6,2,4,5,7,1,8] => [6,3,7,5,4,2,8,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.]

[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [5,4,6,3,2,7,1,8] => [4,5,3,6,7,2,8,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.]

[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [5,4,3,6,2,7,1,8] => [4,5,6,3,7,2,8,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.]

[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [5,3,4,6,2,7,1,8] => [4,6,5,3,7,2,8,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.]

[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [4,5,3,6,2,7,1,8] => [5,4,6,3,7,2,8,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.]

[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [3,4,5,6,2,7,1,8] => [6,5,4,3,7,2,8,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.]

[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [5,4,3,2,6,7,1,8] => [4,5,6,7,3,2,8,1] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.]

[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [5,3,2,4,6,7,1,8] => [4,6,7,5,3,2,8,1] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.]

[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [5,2,3,4,6,7,1,8] => [4,7,6,5,3,2,8,1] => [[[[.,[[[.,.],.],.]],.],[.,.]],.]

[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [3,5,2,4,6,7,1,8] => [6,4,7,5,3,2,8,1] => [[[[[.,.],[[.,.],.]],.],[.,.]],.]

[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [4,2,3,5,6,7,1,8] => [5,7,6,4,3,2,8,1] => [[[[[.,[[.,.],.]],.],.],[.,.]],.]

[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [3,4,2,5,6,7,1,8] => [6,5,7,4,3,2,8,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.]

[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [3,2,4,5,6,7,1,8] => [6,7,5,4,3,2,8,1] => [[[[[[.,[.,.]],.],.],.],[.,.]],.]

[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [2,3,4,5,6,7,1,8] => [7,6,5,4,3,2,8,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.]

[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7,8] => [3,4,5,6,7,8,2,1] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]

[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [6,5,4,3,1,2,7,8] => [3,4,5,6,8,7,2,1] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.]

[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [6,5,4,2,1,3,7,8] => [3,4,5,7,8,6,2,1] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.]

[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [6,5,3,4,2,1,7,8] => [3,4,6,5,7,8,2,1] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.]

[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [4,3,6,5,2,1,7,8] => [6,5,3,2,4,1,7,8] => [3,4,6,7,5,8,2,1] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.]

[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [6,5,3,2,1,4,7,8] => [3,4,6,7,8,5,2,1] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.]

[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [6,3,5,2,4,1,7,8] => [3,6,4,7,5,8,2,1] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.]

[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [6,2,3,5,1,4,7,8] => [3,7,6,4,8,5,2,1] => [[[.,[[[.,.],.],[[.,.],.]]],.],.]

[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [6,4,3,2,5,1,7,8] => [3,5,6,7,4,8,2,1] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.]

[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [6,2,3,4,5,1,7,8] => [3,7,6,5,4,8,2,1] => [[[.,[[[[.,.],.],.],[.,.]]],.],.]

[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [6,4,3,2,1,5,7,8] => [3,5,6,7,8,4,2,1] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.]

[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [6,4,3,1,2,5,7,8] => [3,5,6,8,7,4,2,1] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.]

[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8] => [6,4,2,3,1,5,7,8] => [3,5,7,6,8,4,2,1] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.]

[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [6,4,2,1,3,5,7,8] => [3,5,7,8,6,4,2,1] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.]

[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [6,4,1,2,3,5,7,8] => [3,5,8,7,6,4,2,1] => [[[.,[[.,[[[.,.],.],.]],.]],.],.]

[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [6,2,3,4,1,5,7,8] => [3,7,6,5,8,4,2,1] => [[[.,[[[[.,.],.],[.,.]],.]],.],.]

[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [6,2,1,3,4,5,7,8] => [3,7,8,6,5,4,2,1] => [[[.,[[[[.,[.,.]],.],.],.]],.],.]

[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [6,1,2,3,4,5,7,8] => [3,8,7,6,5,4,2,1] => [[[.,[[[[[.,.],.],.],.],.]],.],.]

[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [5,6,4,3,2,1,7,8] => [4,3,5,6,7,8,2,1] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.]

[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,6,2,5,1,4,7,8] => [6,3,7,4,8,5,2,1] => [[[[.,.],[[.,.],[[.,.],.]]],.],.]

[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [4,6,3,2,5,1,7,8] => [5,3,6,7,4,8,2,1] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.]

[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [4,6,3,2,1,5,7,8] => [5,3,6,7,8,4,2,1] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.]

[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => [3,6,2,1,4,5,7,8] => [6,3,7,8,5,4,2,1] => [[[[.,.],[[[.,[.,.]],.],.]],.],.]

[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [2,6,1,3,4,5,7,8] => [7,3,8,6,5,4,2,1] => [[[[.,.],[[[[.,.],.],.],.]],.],.]

[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [4,3,6,5,1,2,7,8] => [5,6,3,4,8,7,2,1] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.]

[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [4,3,6,2,5,1,7,8] => [5,6,3,7,4,8,2,1] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.]

[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [4,5,6,3,2,1,7,8] => [5,4,3,6,7,8,2,1] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.]

[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [3,4,6,5,1,2,7,8] => [6,5,3,4,8,7,2,1] => [[[[[.,.],.],[.,[[.,.],.]]],.],.]

[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,4,6,2,5,1,7,8] => [6,5,3,7,4,8,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.]

[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [2,3,6,1,4,5,7,8] => [7,6,3,8,5,4,2,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.]

[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [4,3,2,6,1,5,7,8] => [5,6,7,3,8,4,2,1] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.]

[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [3,4,2,6,1,5,7,8] => [6,5,7,3,8,4,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.]

[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [3,4,5,6,2,1,7,8] => [6,5,4,3,7,8,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.]

[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [5,4,3,2,6,1,7,8] => [4,5,6,7,3,8,2,1] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]

[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [3,4,5,2,6,1,7,8] => [6,5,4,7,3,8,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.]

[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [3,2,4,5,6,1,7,8] => [6,7,5,4,3,8,2,1] => [[[[[[.,[.,.]],.],.],[.,.]],.],.]

[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [2,3,4,5,6,1,7,8] => [7,6,5,4,3,8,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.]

[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7,8] => [4,5,6,7,8,3,2,1] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]

[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [5,4,3,1,2,6,7,8] => [4,5,6,8,7,3,2,1] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.]

[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [5,4,2,3,1,6,7,8] => [4,5,7,6,8,3,2,1] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.]

[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [5,4,1,2,3,6,7,8] => [4,5,8,7,6,3,2,1] => [[[[.,[.,[[[.,.],.],.]]],.],.],.]

[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [5,3,4,2,1,6,7,8] => [4,6,5,7,8,3,2,1] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.]

[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [5,3,2,4,1,6,7,8] => [4,6,7,5,8,3,2,1] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.]

[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [5,2,3,4,1,6,7,8] => [4,7,6,5,8,3,2,1] => [[[[.,[[[.,.],.],[.,.]]],.],.],.]

[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [5,3,1,2,4,6,7,8] => [4,6,8,7,5,3,2,1] => [[[[.,[[.,[[.,.],.]],.]],.],.],.]

[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [5,2,3,1,4,6,7,8] => [4,7,6,8,5,3,2,1] => [[[[.,[[[.,.],[.,.]],.]],.],.],.]

[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [5,2,1,3,4,6,7,8] => [4,7,8,6,5,3,2,1] => [[[[.,[[[.,[.,.]],.],.]],.],.],.]

[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [5,1,2,3,4,6,7,8] => [4,8,7,6,5,3,2,1] => [[[[.,[[[[.,.],.],.],.]],.],.],.]

[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [4,5,3,2,1,6,7,8] => [5,4,6,7,8,3,2,1] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.]

[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [3,5,2,4,1,6,7,8] => [6,4,7,5,8,3,2,1] => [[[[[.,.],[[.,.],[.,.]]],.],.],.]

[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,4,3,5,2,6,7,8] => [3,5,2,1,4,6,7,8] => [6,4,7,8,5,3,2,1] => [[[[[.,.],[[.,[.,.]],.]],.],.],.]

[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [2,5,1,3,4,6,7,8] => [7,4,8,6,5,3,2,1] => [[[[[.,.],[[[.,.],.],.]],.],.],.]

[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [4,3,5,2,1,6,7,8] => [5,6,4,7,8,3,2,1] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.]

[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [3,2,5,1,4,6,7,8] => [6,7,4,8,5,3,2,1] => [[[[[.,[.,.]],[[.,.],.]],.],.],.]

[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [3,4,5,2,1,6,7,8] => [6,5,4,7,8,3,2,1] => [[[[[[.,.],.],[.,[.,.]]],.],.],.]

[[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,2,4,5,3,6,7,8] => [2,3,5,1,4,6,7,8] => [7,6,4,8,5,3,2,1] => [[[[[[.,.],.],[[.,.],.]],.],.],.]

[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [4,3,2,5,1,6,7,8] => [5,6,7,4,8,3,2,1] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.]

[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [4,2,3,5,1,6,7,8] => [5,7,6,4,8,3,2,1] => [[[[[.,[[.,.],.]],[.,.]],.],.],.]

[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [3,4,2,5,1,6,7,8] => [6,5,7,4,8,3,2,1] => [[[[[[.,.],[.,.]],[.,.]],.],.],.]

[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => [3,2,4,5,1,6,7,8] => [6,7,5,4,8,3,2,1] => [[[[[[.,[.,.]],.],[.,.]],.],.],.]

[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [2,3,4,5,1,6,7,8] => [7,6,5,4,8,3,2,1] => [[[[[[[.,.],.],.],[.,.]],.],.],.]

[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [5,6,7,8,4,3,2,1] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.]

[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [4,3,1,2,5,6,7,8] => [5,6,8,7,4,3,2,1] => [[[[[.,[.,[[.,.],.]]],.],.],.],.]

[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => [5,7,6,8,4,3,2,1] => [[[[[.,[[.,.],[.,.]]],.],.],.],.]

[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [4,2,1,3,5,6,7,8] => [5,7,8,6,4,3,2,1] => [[[[[.,[[.,[.,.]],.]],.],.],.],.]

[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [4,1,2,3,5,6,7,8] => [5,8,7,6,4,3,2,1] => [[[[[.,[[[.,.],.],.]],.],.],.],.]

[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [3,4,2,1,5,6,7,8] => [6,5,7,8,4,3,2,1] => [[[[[[.,.],[.,[.,.]]],.],.],.],.]

[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [2,4,1,3,5,6,7,8] => [7,5,8,6,4,3,2,1] => [[[[[[.,.],[[.,.],.]],.],.],.],.]

[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [3,2,4,1,5,6,7,8] => [6,7,5,8,4,3,2,1] => [[[[[[.,[.,.]],[.,.]],.],.],.],.]

[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [2,3,4,1,5,6,7,8] => [7,6,5,8,4,3,2,1] => [[[[[[[.,.],.],[.,.]],.],.],.],.]

[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [6,7,8,5,4,3,2,1] => [[[[[[.,[.,[.,.]]],.],.],.],.],.]

[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [6,8,7,5,4,3,2,1] => [[[[[[.,[[.,.],.]],.],.],.],.],.]

[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [7,6,8,5,4,3,2,1] => [[[[[[[.,.],[.,.]],.],.],.],.],.]

[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [7,8,6,5,4,3,2,1] => [[[[[[[.,[.,.]],.],.],.],.],.],.]

[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],.]

[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]

[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,9,8] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]

[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [9,8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,9,8,7] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]

[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [9,8,7,6,5,1,2,3,4] => [1,2,3,4,5,9,8,7,6] => [.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]

[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [9,8,7,6,1,2,3,4,5] => [1,2,3,4,9,8,7,6,5] => [.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]

[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [9,8,7,1,2,3,4,5,6] => [1,2,3,9,8,7,6,5,4] => [.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]

[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [9,8,1,2,3,4,5,6,7] => [1,2,9,8,7,6,5,4,3] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]

[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [9,1,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]]

[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.]

[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]

[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8,10,9] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]

[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [9,8,7,6,5,4,2,3,1] => [1,2,3,4,5,6,8,7,9] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]

[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,7,10,9,8] => [.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]

[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [10,9,8,7,6,5,1,2,3,4] => [1,2,3,4,5,6,10,9,8,7] => [.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]]

[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [10,9,8,7,6,1,2,3,4,5] => [1,2,3,4,5,10,9,8,7,6] => [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]

[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [10,9,8,7,1,2,3,4,5,6] => [1,2,3,4,10,9,8,7,6,5] => [.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]]

[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [10,9,8,1,2,3,4,5,6,7] => [1,2,3,10,9,8,7,6,5,4] => [.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]]

[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [10,9,1,2,3,4,5,6,7,8] => [1,2,10,9,8,7,6,5,4,3] => [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]]

[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [2,9,1,3,4,5,6,7,8] => [8,1,9,7,6,5,4,3,2] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]]

[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [10,1,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]

[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]

[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [9,8,7,6,5,4,2,1,3] => [1,2,3,4,5,6,8,9,7] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]

[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [9,8,7,6,5,3,2,1,4] => [1,2,3,4,5,7,8,9,6] => [.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]

[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [9,8,7,6,4,3,2,1,5] => [1,2,3,4,6,7,8,9,5] => [.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]

[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [9,8,7,5,4,3,2,1,6] => [1,2,3,5,6,7,8,9,4] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]

[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [9,8,6,5,4,3,2,1,7] => [1,2,4,5,6,7,8,9,3] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]

[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [9,7,6,5,4,3,2,1,8] => [1,3,4,5,6,7,8,9,2] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]

[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,9,1] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]

[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,2,1,3] => [1,2,3,4,5,6,7,9,10,8] => [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]

[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [6,8,7,9,5,4,3,2,1] => [9,8,7,6,5,2,3,1,4] => [1,2,3,4,5,8,7,9,6] => [.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]

[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [10,9,8,7,6,5,3,2,1,4] => [1,2,3,4,5,6,8,9,10,7] => [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]

[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [5,8,7,6,9,4,3,2,1] => [9,8,7,6,3,4,2,1,5] => [1,2,3,4,7,6,8,9,5] => [.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]

[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [10,9,8,7,6,4,3,2,1,5] => [1,2,3,4,5,7,8,9,10,6] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]

[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [4,8,7,6,5,9,3,2,1] => [9,8,7,4,5,3,2,1,6] => [1,2,3,6,5,7,8,9,4] => [.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]

[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [10,9,8,7,5,4,3,2,1,6] => [1,2,3,4,6,7,8,9,10,5] => [.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]

[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [3,8,7,6,5,4,9,2,1] => [9,8,5,6,4,3,2,1,7] => [1,2,5,4,6,7,8,9,3] => [.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]

[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [10,9,8,6,5,4,3,2,1,7] => [1,2,3,5,6,7,8,9,10,4] => [.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]

[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [2,8,7,6,5,4,3,9,1] => [9,6,7,5,4,3,2,1,8] => [1,4,3,5,6,7,8,9,2] => [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]

[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [10,9,7,6,5,4,3,2,1,8] => [1,2,4,5,6,7,8,9,10,3] => [.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]

[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [7,8,6,5,4,3,2,1,9] => [3,2,4,5,6,7,8,9,1] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]

[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [10,8,7,6,5,4,3,2,1,9] => [1,3,4,5,6,7,8,9,10,2] => [.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]

[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,10,1] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]

[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,10,4,9,3,8,2,7,1,6] => [6,1,7,2,8,3,9,4,10,5] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]

[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [6,5,7,4,8,3,9,2,10,1] => [5,6,4,7,3,8,2,9,1,10] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]

[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,3,4,5,6,7,8,9,1] => [8,7,6,5,4,3,2,1,9] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]]

[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,3,4,5,6,7,8,9,10,1] => [9,8,7,6,5,4,3,2,1,10] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]

[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [3,2,4,5,6,7,8,9,1] => [7,8,6,5,4,3,2,1,9] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]

[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [2,3,4,5,6,7,8,9,10,11,1] => [10,9,8,7,6,5,4,3,2,1,11] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]

[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [3,2,4,5,6,7,8,9,10,1] => [8,9,7,6,5,4,3,2,1,10] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]

[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [3,4,2,5,6,7,8,9,1] => [7,6,8,5,4,3,2,1,9] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]

[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [11,1,2,3,4,5,6,7,8,9,10] => [1,11,10,9,8,7,6,5,4,3,2] => [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]

[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [2,3,4,5,6,7,9,1,8] => [8,7,6,5,4,3,1,9,2] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]]

[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,4,5,6,7,8,9,2,1] => [7,6,5,4,3,2,1,8,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]

[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [2,3,4,5,6,7,8,10,1,9] => [9,8,7,6,5,4,3,1,10,2] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]

[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [2,10,1,3,4,5,6,7,8,9] => [9,1,10,8,7,6,5,4,3,2] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]

[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [8,9,7,6,5,4,3,2,1] => [2,1,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]

[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [8,7,6,5,4,3,1,2,9] => [2,3,4,5,6,7,9,8,1] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]

[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,8,9,7,6,5,4,3,2] => [7,9,8,6,5,4,3,1,2] => [3,1,2,4,5,6,7,9,8] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]

[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [9,10,8,7,6,5,4,3,2,1] => [2,1,3,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]

[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,11,1] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]

[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,1,2,10] => [2,3,4,5,6,7,8,10,9,1] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]

[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [8,7,6,5,4,2,1,3,9] => [2,3,4,5,6,8,9,7,1] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]

[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [10,11,9,8,7,6,5,4,3,2,1] => [2,1,3,4,5,6,7,8,9,10,11] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]

[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [10,8,6,4,2,1,3,5,7,9] => [1,3,5,7,9,10,8,6,4,2] => [.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]

[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,9,8,10,1] => [10,5,4,6,3,7,2,8,1,9] => [1,6,7,5,8,4,9,3,10,2] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]

[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [8,7,9,6,5,4,3,2,1] => [2,3,1,4,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]

[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [8,7,6,9,5,4,3,2,1] => [2,3,4,1,5,6,7,8,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]

[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [8,7,6,5,9,4,3,2,1] => [2,3,4,5,1,6,7,8,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]

[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [8,7,6,5,4,9,3,2,1] => [2,3,4,5,6,1,7,8,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]

[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [8,7,6,5,4,3,9,2,1] => [2,3,4,5,6,7,1,8,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]

[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [8,7,6,5,4,3,2,9,1] => [2,3,4,5,6,7,8,1,9] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]

[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [7,8,9,6,5,4,3,2,1] => [3,2,1,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]

[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [9,8,10,7,6,5,4,3,2,1] => [2,3,1,4,5,6,7,8,9,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]

[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [8,6,7,9,5,4,3,2,1] => [2,4,3,1,5,6,7,8,9] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]]

[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [9,8,7,10,6,5,4,3,2,1] => [2,3,4,1,5,6,7,8,9,10] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]

[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [3,4,2,1,9,8,7,6,5] => [8,7,5,6,9,4,3,2,1] => [2,3,5,4,1,6,7,8,9] => [[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]]

[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [9,8,7,6,10,5,4,3,2,1] => [2,3,4,5,1,6,7,8,9,10] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]

[[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]] => [4,5,3,2,1,9,8,7,6] => [8,7,6,4,5,9,3,2,1] => [2,3,4,6,5,1,7,8,9] => [[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]]

[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [9,8,7,6,5,10,4,3,2,1] => [2,3,4,5,6,1,7,8,9,10] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]

[[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]] => [5,6,4,3,2,1,9,8,7] => [8,7,6,5,3,4,9,2,1] => [2,3,4,5,7,6,1,8,9] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]]

[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [9,8,7,6,5,4,10,3,2,1] => [2,3,4,5,6,7,1,8,9,10] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]

[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [6,7,5,4,3,2,1,9,8] => [8,7,6,5,4,2,3,9,1] => [2,3,4,5,6,8,7,1,9] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]]

[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [9,8,7,6,5,4,3,10,2,1] => [2,3,4,5,6,7,8,1,9,10] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]

[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [9,8,7,6,5,4,3,2,10,1] => [2,3,4,5,6,7,8,9,1,10] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]

[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8,9] => [3,4,5,6,7,8,9,2,1] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]

[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,7,8,9] => [4,5,6,7,8,9,3,2,1] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]

[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => [5,6,7,8,9,4,3,2,1] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]

[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => [6,7,8,9,5,4,3,2,1] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]

[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [7,8,9,6,5,4,3,2,1] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]

[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [8,9,7,6,5,4,3,2,1] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.]

[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [8,7,6,5,4,3,2,1,9,10] => [3,4,5,6,7,8,9,10,2,1] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]

[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [7,6,5,4,3,2,1,8,9,10] => [4,5,6,7,8,9,10,3,2,1] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]

[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => [5,6,7,8,9,10,4,3,2,1] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]

[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9,10] => [6,7,8,9,10,5,4,3,2,1] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]

[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => [7,8,9,10,6,5,4,3,2,1] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]

[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => [8,9,10,7,6,5,4,3,2,1] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]

[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [8,7,9,6,5,4,3,2,1] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.]

[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [9,10,8,7,6,5,4,3,2,1] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]

[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [4,9,8,7,6,5,3,2,1] => [9,8,7,5,6,4,3,2,1] => [1,2,3,5,4,6,7,8,9] => [.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]

[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [3,9,8,7,6,5,4,2,1] => [9,8,6,7,5,4,3,2,1] => [1,2,4,3,5,6,7,8,9] => [.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]

[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [9,7,8,6,5,4,3,2,1] => [1,3,2,4,5,6,7,8,9] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]

[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [6,10,9,8,7,5,4,3,2,1] => [10,9,8,7,6,4,5,3,2,1] => [1,2,3,4,5,7,6,8,9,10] => [.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]

[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [9,2,3,4,5,6,7,8,1] => [1,8,7,6,5,4,3,2,9] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]

[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [10,11,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]

[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [10,2,3,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,3,2,10] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]

[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [6,5,4,3,2,1,8,7,9] => [7,6,5,4,3,2,8,1,9] => [3,4,5,6,7,8,2,9,1] => [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]

[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [9,7,1,2,3,4,5,6,8] => [1,3,9,8,7,6,5,4,2] => [.,[[.,[[[[[[.,.],.],.],.],.],.]],.]]

[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [8,1,2,3,4,5,6,7,9] => [2,9,8,7,6,5,4,3,1] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.]

[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,1,2,3,4,5,6,8,9] => [3,9,8,7,6,5,4,2,1] => [[[.,[[[[[[.,.],.],.],.],.],.]],.],.]

[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9] => [4,2,3,1,5,6,7,8,9] => [6,8,7,9,5,4,3,2,1] => [[[[[[.,[[.,.],[.,.]]],.],.],.],.],.]

[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [2,3,5,4,1,6,7,8,9] => [5,2,3,4,1,6,7,8,9] => [5,8,7,6,9,4,3,2,1] => [[[[[.,[[[.,.],.],[.,.]]],.],.],.],.]

[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [2,3,4,6,5,1,7,8,9] => [6,2,3,4,5,1,7,8,9] => [4,8,7,6,5,9,3,2,1] => [[[[.,[[[[.,.],.],.],[.,.]]],.],.],.]

[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [2,3,4,5,7,6,1,8,9] => [7,2,3,4,5,6,1,8,9] => [3,8,7,6,5,4,9,2,1] => [[[.,[[[[[.,.],.],.],.],[.,.]]],.],.]

[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [2,3,4,5,6,8,7,1,9] => [8,2,3,4,5,6,7,1,9] => [2,8,7,6,5,4,3,9,1] => [[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]

[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [9,1,2,3,4,5,6,7,8,10] => [2,10,9,8,7,6,5,4,3,1] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]

[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => [8,7,6,9,5,4,3,2,1] => [[[[[[[[.,.],.],[.,.]],.],.],.],.],.]

[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [8,7,6,5,9,4,3,2,1] => [[[[[[[[.,.],.],.],[.,.]],.],.],.],.]

[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [2,3,4,5,6,1,7,8,9] => [8,7,6,5,4,9,3,2,1] => [[[[[[[[.,.],.],.],.],[.,.]],.],.],.]

[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [2,3,4,5,6,7,1,8,9] => [8,7,6,5,4,3,9,2,1] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.]

[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [2,3,4,5,6,7,8,1,9] => [8,7,6,5,4,3,2,9,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.]

[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [9,8,10,7,6,5,4,3,2,1] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]

[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10] => [9,8,7,10,6,5,4,3,2,1] => [[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.]

[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10] => [9,8,7,6,10,5,4,3,2,1] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]

[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10] => [9,8,7,6,5,10,4,3,2,1] => [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]

[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [2,3,4,5,6,7,1,8,9,10] => [9,8,7,6,5,4,10,3,2,1] => [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]

[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [2,3,4,5,6,7,8,1,9,10] => [9,8,7,6,5,4,3,10,2,1] => [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]

[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [2,3,4,5,6,7,8,9,1,10] => [9,8,7,6,5,4,3,2,10,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]

[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [7,6,5,4,3,2,9,8,1] => [9,7,6,5,4,3,2,8,1] => [1,3,4,5,6,7,8,2,9] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]

[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => [7,6,5,4,3,2,8,9,1] => [9,6,5,4,3,2,1,7,8] => [1,4,5,6,7,8,9,3,2] => [.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]]

[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [7,8,6,5,4,3,2,9,1] => [3,2,4,5,6,7,8,1,9] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]

[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [7,6,5,4,3,2,9,1,8] => [3,4,5,6,7,8,1,9,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]

[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [11,10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]

[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [8,9,10,7,6,5,4,3,2,1] => [3,2,1,4,5,6,7,8,9,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]

[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,3,2,9,8,7,6,5,4] => [7,8,6,9,5,4,3,2,1] => [3,2,4,1,5,6,7,8,9] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]

[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9] => [7,6,8,5,4,3,2,1,9] => [3,4,2,5,6,7,8,9,1] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]

[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [8,9,7,6,5,4,3,2,1,10] => [3,2,4,5,6,7,8,9,10,1] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]

[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [2,1,4,5,3,6,7,8,9] => [3,2,5,1,4,6,7,8,9] => [7,8,5,9,6,4,3,2,1] => [[[[[[.,[.,.]],[[.,.],.]],.],.],.],.]

[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [8,7,6,5,4,3,2,10,9,1] => [10,8,7,6,5,4,3,2,9,1] => [1,3,4,5,6,7,8,9,2,10] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]

[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [2,8,1,3,4,5,6,7,9] => [8,2,9,7,6,5,4,3,1] => [[[.,.],[[[[[[.,.],.],.],.],.],.]],.]

[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,4,5,6,7,8,9,10,2,1] => [8,7,6,5,4,3,2,1,9,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]

[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [6,7,8,5,4,3,2,1,9] => [8,7,6,5,4,1,2,3,9] => [2,3,4,5,6,9,8,7,1] => [[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.]

[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [7,8,9,6,5,4,3,2,1,10] => [9,8,7,6,5,4,1,2,3,10] => [2,3,4,5,6,7,10,9,8,1] => [[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.]

[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [4,5,6,7,8,9,3,2,1] => [6,5,4,3,2,1,7,8,9] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]

[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [5,6,7,8,9,4,3,2,1] => [5,4,3,2,1,6,7,8,9] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]

[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [6,7,8,9,5,4,3,2,1] => [4,3,2,1,5,6,7,8,9] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]

[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [3,4,5,6,7,8,2,9,1] => [7,6,5,4,3,2,8,1,9] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]

[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [4,5,6,7,8,9,10,3,2,1] => [7,6,5,4,3,2,1,8,9,10] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]

[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,4,6,5,9,8,7] => [4,5,6,7,8,3,9,2,1] => [6,5,4,3,2,7,1,8,9] => [[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]]

[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [5,6,7,8,9,10,4,3,2,1] => [6,5,4,3,2,1,7,8,9,10] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]

[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,3,5,4,9,8,7,6] => [5,6,7,8,4,9,3,2,1] => [5,4,3,2,6,1,7,8,9] => [[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]]

[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [6,7,8,9,10,5,4,3,2,1] => [5,4,3,2,1,6,7,8,9,10] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]

[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,2,4,3,9,8,7,6,5] => [6,7,8,5,9,4,3,2,1] => [4,3,2,5,1,6,7,8,9] => [[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]]

[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4] => [7,8,9,10,6,5,4,3,2,1] => [4,3,2,1,5,6,7,8,9,10] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]

[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9] => [3,4,5,6,7,8,9,2,10,1] => [8,7,6,5,4,3,2,9,1,10] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]

[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] => [10,9,11,8,7,6,5,4,3,2,1] => [11,10,9,8,7,6,5,4,2,1,3] => [1,2,3,4,5,6,7,8,10,11,9] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]]

[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [11,10,9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8,9,11,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]

[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [9,7,6,5,4,3,1,2,8] => [1,3,4,5,6,7,9,8,2] => [.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]

[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [9,6,7,8,5,4,3,2,1] => [1,4,3,2,5,6,7,8,9] => [.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]]

[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [2,8,7,6,5,4,3,1,9] => [8,6,7,5,4,3,2,1,9] => [2,4,3,5,6,7,8,9,1] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]

[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [8,2,3,4,5,6,7,9,1] => [2,8,7,6,5,4,3,1,9] => [[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]

[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [2,4,1,3,5,6,7,8,9] => [8,6,9,7,5,4,3,2,1] => [[[[[[[.,.],[[.,.],.]],.],.],.],.],.]

[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,8,10,9,11] => [2,3,4,5,6,7,8,9,10,1,11] => [10,9,8,7,6,5,4,3,2,11,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.]

[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [8,7,6,5,4,3,2,10,1,9] => [3,4,5,6,7,8,9,1,10,2] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]

Map

to 312-avoiding permutation

Description

Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.

Map

major-index to inversion-number bijection

Description

Return the permutation whose Lehmer code equals the major code of the preimage.
This map sends the major index to the number of inversions.

Map

complement

Description

Sents a permutation to its complement.
The complement of a permutation

$\sigma$ of length

$n$ is the permutation

$\tau$ with

$\tau(i) = n+1-\sigma(i)$

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.