Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00064: Permutations —reverse⟶ Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
[.,.] => [1] => [1] => [1] => [.,.]
[.,[.,.]] => [2,1] => [1,2] => [2,1] => [[.,.],.]
[[.,.],.] => [1,2] => [2,1] => [1,2] => [.,[.,.]]
[.,[.,[.,.]]] => [3,2,1] => [1,2,3] => [3,2,1] => [[[.,.],.],.]
[.,[[.,.],.]] => [2,3,1] => [1,3,2] => [3,1,2] => [[.,.],[.,.]]
[[.,.],[.,.]] => [3,1,2] => [2,1,3] => [2,3,1] => [[.,[.,.]],.]
[[.,[.,.]],.] => [2,1,3] => [3,1,2] => [1,3,2] => [.,[[.,.],.]]
[[[.,.],.],.] => [1,2,3] => [3,2,1] => [1,2,3] => [.,[.,[.,.]]]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,2,3,4] => [4,3,2,1] => [[[[.,.],.],.],.]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [1,2,4,3] => [4,3,1,2] => [[[.,.],.],[.,.]]
[.,[[.,.],[.,.]]] => [4,2,3,1] => [1,3,2,4] => [4,2,3,1] => [[[.,.],[.,.]],.]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [1,4,2,3] => [4,1,3,2] => [[.,.],[[.,.],.]]
[.,[[[.,.],.],.]] => [2,3,4,1] => [1,4,3,2] => [4,1,2,3] => [[.,.],[.,[.,.]]]
[[.,.],[.,[.,.]]] => [4,3,1,2] => [2,1,3,4] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[.,.],[[.,.],.]] => [3,4,1,2] => [2,1,4,3] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[.,[.,.]],[.,.]] => [4,2,1,3] => [3,1,2,4] => [2,4,3,1] => [[.,[[.,.],.]],.]
[[[.,.],.],[.,.]] => [4,1,2,3] => [3,2,1,4] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [4,1,2,3] => [1,4,3,2] => [.,[[[.,.],.],.]]
[[.,[[.,.],.]],.] => [2,3,1,4] => [4,1,3,2] => [1,4,2,3] => [.,[[.,.],[.,.]]]
[[[.,.],[.,.]],.] => [3,1,2,4] => [4,2,1,3] => [1,3,4,2] => [.,[[.,[.,.]],.]]
[[[.,[.,.]],.],.] => [2,1,3,4] => [4,3,1,2] => [1,2,4,3] => [.,[.,[[.,.],.]]]
[[[[.,.],.],.],.] => [1,2,3,4] => [4,3,2,1] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,2,3,4,5] => [5,4,3,2,1] => [[[[[.,.],.],.],.],.]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [1,2,3,5,4] => [5,4,3,1,2] => [[[[.,.],.],.],[.,.]]
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [1,2,4,3,5] => [5,4,2,3,1] => [[[[.,.],.],[.,.]],.]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [1,2,5,3,4] => [5,4,1,3,2] => [[[.,.],.],[[.,.],.]]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [1,2,5,4,3] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]]
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [1,3,2,4,5] => [5,3,4,2,1] => [[[[.,.],[.,.]],.],.]
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [1,3,2,5,4] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]]
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [1,4,2,3,5] => [5,2,4,3,1] => [[[.,.],[[.,.],.]],.]
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [1,4,3,2,5] => [5,2,3,4,1] => [[[.,.],[.,[.,.]]],.]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [1,5,2,3,4] => [5,1,4,3,2] => [[.,.],[[[.,.],.],.]]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [1,5,2,4,3] => [5,1,4,2,3] => [[.,.],[[.,.],[.,.]]]
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [1,5,3,2,4] => [5,1,3,4,2] => [[.,.],[[.,[.,.]],.]]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [1,5,4,2,3] => [5,1,2,4,3] => [[.,.],[.,[[.,.],.]]]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [1,5,4,3,2] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]]
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [2,1,3,4,5] => [4,5,3,2,1] => [[[[.,[.,.]],.],.],.]
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [2,1,3,5,4] => [4,5,3,1,2] => [[[.,[.,.]],.],[.,.]]
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [2,1,4,3,5] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [2,1,5,3,4] => [4,5,1,3,2] => [[.,[.,.]],[[.,.],.]]
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [2,1,5,4,3] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]]
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [3,1,2,4,5] => [3,5,4,2,1] => [[[.,[[.,.],.]],.],.]
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [3,1,2,5,4] => [3,5,4,1,2] => [[.,[[.,.],.]],[.,.]]
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [3,2,1,4,5] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [3,2,1,5,4] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [4,1,2,3,5] => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.]
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [4,1,3,2,5] => [2,5,3,4,1] => [[.,[[.,.],[.,.]]],.]
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [4,2,1,3,5] => [2,4,5,3,1] => [[.,[[.,[.,.]],.]],.]
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [4,3,1,2,5] => [2,3,5,4,1] => [[.,[.,[[.,.],.]]],.]
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [4,3,2,1,5] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [5,1,2,3,4] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [5,1,2,4,3] => [1,5,4,2,3] => [.,[[[.,.],.],[.,.]]]
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [5,1,3,2,4] => [1,5,3,4,2] => [.,[[[.,.],[.,.]],.]]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [5,1,4,2,3] => [1,5,2,4,3] => [.,[[.,.],[[.,.],.]]]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [5,1,4,3,2] => [1,5,2,3,4] => [.,[[.,.],[.,[.,.]]]]
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [5,2,1,3,4] => [1,4,5,3,2] => [.,[[[.,[.,.]],.],.]]
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [5,2,1,4,3] => [1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]]
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [5,3,1,2,4] => [1,3,5,4,2] => [.,[[.,[[.,.],.]],.]]
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [5,3,2,1,4] => [1,3,4,5,2] => [.,[[.,[.,[.,.]]],.]]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [5,4,1,2,3] => [1,2,5,4,3] => [.,[.,[[[.,.],.],.]]]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [5,4,1,3,2] => [1,2,5,3,4] => [.,[.,[[.,.],[.,.]]]]
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [5,4,2,1,3] => [1,2,4,5,3] => [.,[.,[[.,[.,.]],.]]]
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [5,4,3,1,2] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]]
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [5,4,3,2,1] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [1,2,3,4,6,5] => [6,5,4,3,1,2] => [[[[[.,.],.],.],.],[.,.]]
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [1,2,3,5,4,6] => [6,5,4,2,3,1] => [[[[[.,.],.],.],[.,.]],.]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [1,2,3,6,4,5] => [6,5,4,1,3,2] => [[[[.,.],.],.],[[.,.],.]]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [1,2,3,6,5,4] => [6,5,4,1,2,3] => [[[[.,.],.],.],[.,[.,.]]]
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.]
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [1,2,4,3,6,5] => [6,5,3,4,1,2] => [[[[.,.],.],[.,.]],[.,.]]
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [1,2,5,3,4,6] => [6,5,2,4,3,1] => [[[[.,.],.],[[.,.],.]],.]
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [1,2,5,4,3,6] => [6,5,2,3,4,1] => [[[[.,.],.],[.,[.,.]]],.]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [1,2,6,3,4,5] => [6,5,1,4,3,2] => [[[.,.],.],[[[.,.],.],.]]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [1,2,6,3,5,4] => [6,5,1,4,2,3] => [[[.,.],.],[[.,.],[.,.]]]
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [1,2,6,4,3,5] => [6,5,1,3,4,2] => [[[.,.],.],[[.,[.,.]],.]]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [1,2,6,5,3,4] => [6,5,1,2,4,3] => [[[.,.],.],[.,[[.,.],.]]]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [1,2,6,5,4,3] => [6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]]
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [1,3,2,4,5,6] => [6,4,5,3,2,1] => [[[[[.,.],[.,.]],.],.],.]
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [1,3,2,4,6,5] => [6,4,5,3,1,2] => [[[[.,.],[.,.]],.],[.,.]]
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.]
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [1,3,2,6,4,5] => [6,4,5,1,3,2] => [[[.,.],[.,.]],[[.,.],.]]
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [1,3,2,6,5,4] => [6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]]
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [1,4,2,3,5,6] => [6,3,5,4,2,1] => [[[[.,.],[[.,.],.]],.],.]
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [1,4,2,3,6,5] => [6,3,5,4,1,2] => [[[.,.],[[.,.],.]],[.,.]]
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [1,4,3,2,5,6] => [6,3,4,5,2,1] => [[[[.,.],[.,[.,.]]],.],.]
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [1,4,3,2,6,5] => [6,3,4,5,1,2] => [[[.,.],[.,[.,.]]],[.,.]]
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [1,5,2,3,4,6] => [6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.]
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [1,5,2,4,3,6] => [6,2,5,3,4,1] => [[[.,.],[[.,.],[.,.]]],.]
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [1,5,3,2,4,6] => [6,2,4,5,3,1] => [[[.,.],[[.,[.,.]],.]],.]
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [1,5,4,2,3,6] => [6,2,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],.]
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],.]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [1,6,2,3,4,5] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [1,6,2,3,5,4] => [6,1,5,4,2,3] => [[.,.],[[[.,.],.],[.,.]]]
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [1,6,2,4,3,5] => [6,1,5,3,4,2] => [[.,.],[[[.,.],[.,.]],.]]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [1,6,2,5,3,4] => [6,1,5,2,4,3] => [[.,.],[[.,.],[[.,.],.]]]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [1,6,2,5,4,3] => [6,1,5,2,3,4] => [[.,.],[[.,.],[.,[.,.]]]]
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [1,6,3,2,4,5] => [6,1,4,5,3,2] => [[.,.],[[[.,[.,.]],.],.]]
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [1,6,3,2,5,4] => [6,1,4,5,2,3] => [[.,.],[[.,[.,.]],[.,.]]]
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [1,6,4,2,3,5] => [6,1,3,5,4,2] => [[.,.],[[.,[[.,.],.]],.]]
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [1,6,4,3,2,5] => [6,1,3,4,5,2] => [[.,.],[[.,[.,[.,.]]],.]]
>>> Load all 1826 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [1,6,5,2,3,4] => [6,1,2,5,4,3] => [[.,.],[.,[[[.,.],.],.]]]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [1,6,5,2,4,3] => [6,1,2,5,3,4] => [[.,.],[.,[[.,.],[.,.]]]]
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [1,6,5,3,2,4] => [6,1,2,4,5,3] => [[.,.],[.,[[.,[.,.]],.]]]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [1,6,5,4,2,3] => [6,1,2,3,5,4] => [[.,.],[.,[.,[[.,.],.]]]]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [1,6,5,4,3,2] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]]
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [2,1,3,4,5,6] => [5,6,4,3,2,1] => [[[[[.,[.,.]],.],.],.],.]
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [2,1,3,4,6,5] => [5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]]
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [2,1,3,5,4,6] => [5,6,4,2,3,1] => [[[[.,[.,.]],.],[.,.]],.]
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [2,1,3,6,4,5] => [5,6,4,1,3,2] => [[[.,[.,.]],.],[[.,.],.]]
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [2,1,3,6,5,4] => [5,6,4,1,2,3] => [[[.,[.,.]],.],[.,[.,.]]]
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [2,1,4,3,5,6] => [5,6,3,4,2,1] => [[[[.,[.,.]],[.,.]],.],.]
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [2,1,4,3,6,5] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]]
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [2,1,5,3,4,6] => [5,6,2,4,3,1] => [[[.,[.,.]],[[.,.],.]],.]
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,1,5,4,3,6] => [5,6,2,3,4,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [2,1,6,3,4,5] => [5,6,1,4,3,2] => [[.,[.,.]],[[[.,.],.],.]]
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [2,1,6,3,5,4] => [5,6,1,4,2,3] => [[.,[.,.]],[[.,.],[.,.]]]
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,1,6,4,3,5] => [5,6,1,3,4,2] => [[.,[.,.]],[[.,[.,.]],.]]
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [2,1,6,5,3,4] => [5,6,1,2,4,3] => [[.,[.,.]],[.,[[.,.],.]]]
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [2,1,6,5,4,3] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]]
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [3,1,2,4,5,6] => [4,6,5,3,2,1] => [[[[.,[[.,.],.]],.],.],.]
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [3,1,2,4,6,5] => [4,6,5,3,1,2] => [[[.,[[.,.],.]],.],[.,.]]
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [3,1,2,5,4,6] => [4,6,5,2,3,1] => [[[.,[[.,.],.]],[.,.]],.]
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [3,1,2,6,4,5] => [4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]]
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [3,1,2,6,5,4] => [4,6,5,1,2,3] => [[.,[[.,.],.]],[.,[.,.]]]
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [3,2,1,4,5,6] => [4,5,6,3,2,1] => [[[[.,[.,[.,.]]],.],.],.]
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [3,2,1,4,6,5] => [4,5,6,3,1,2] => [[[.,[.,[.,.]]],.],[.,.]]
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [3,2,1,5,4,6] => [4,5,6,2,3,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [3,2,1,6,4,5] => [4,5,6,1,3,2] => [[.,[.,[.,.]]],[[.,.],.]]
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [3,2,1,6,5,4] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [4,1,2,3,5,6] => [3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.]
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [4,1,2,3,6,5] => [3,6,5,4,1,2] => [[.,[[[.,.],.],.]],[.,.]]
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [4,1,3,2,5,6] => [3,6,4,5,2,1] => [[[.,[[.,.],[.,.]]],.],.]
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [4,1,3,2,6,5] => [3,6,4,5,1,2] => [[.,[[.,.],[.,.]]],[.,.]]
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,2,1,3,5,6] => [3,5,6,4,2,1] => [[[.,[[.,[.,.]],.]],.],.]
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,2,1,3,6,5] => [3,5,6,4,1,2] => [[.,[[.,[.,.]],.]],[.,.]]
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,3,1,2,5,6] => [3,4,6,5,2,1] => [[[.,[.,[[.,.],.]]],.],.]
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,3,1,2,6,5] => [3,4,6,5,1,2] => [[.,[.,[[.,.],.]]],[.,.]]
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [4,3,2,1,5,6] => [3,4,5,6,2,1] => [[[.,[.,[.,[.,.]]]],.],.]
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [4,3,2,1,6,5] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [5,1,2,3,4,6] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.]
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [5,1,2,4,3,6] => [2,6,5,3,4,1] => [[.,[[[.,.],.],[.,.]]],.]
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [5,1,3,2,4,6] => [2,6,4,5,3,1] => [[.,[[[.,.],[.,.]],.]],.]
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [5,1,4,2,3,6] => [2,6,3,5,4,1] => [[.,[[.,.],[[.,.],.]]],.]
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [5,1,4,3,2,6] => [2,6,3,4,5,1] => [[.,[[.,.],[.,[.,.]]]],.]
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [5,2,1,3,4,6] => [2,5,6,4,3,1] => [[.,[[[.,[.,.]],.],.]],.]
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [5,2,1,4,3,6] => [2,5,6,3,4,1] => [[.,[[.,[.,.]],[.,.]]],.]
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [5,3,1,2,4,6] => [2,4,6,5,3,1] => [[.,[[.,[[.,.],.]],.]],.]
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [5,3,2,1,4,6] => [2,4,5,6,3,1] => [[.,[[.,[.,[.,.]]],.]],.]
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [5,4,1,2,3,6] => [2,3,6,5,4,1] => [[.,[.,[[[.,.],.],.]]],.]
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [5,4,1,3,2,6] => [2,3,6,4,5,1] => [[.,[.,[[.,.],[.,.]]]],.]
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [5,4,2,1,3,6] => [2,3,5,6,4,1] => [[.,[.,[[.,[.,.]],.]]],.]
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [5,4,3,1,2,6] => [2,3,4,6,5,1] => [[.,[.,[.,[[.,.],.]]]],.]
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [5,4,3,2,1,6] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [6,1,2,3,5,4] => [1,6,5,4,2,3] => [.,[[[[.,.],.],.],[.,.]]]
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [6,1,2,4,3,5] => [1,6,5,3,4,2] => [.,[[[[.,.],.],[.,.]],.]]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [6,1,2,5,3,4] => [1,6,5,2,4,3] => [.,[[[.,.],.],[[.,.],.]]]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [6,1,2,5,4,3] => [1,6,5,2,3,4] => [.,[[[.,.],.],[.,[.,.]]]]
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [6,1,3,2,4,5] => [1,6,4,5,3,2] => [.,[[[[.,.],[.,.]],.],.]]
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [6,1,3,2,5,4] => [1,6,4,5,2,3] => [.,[[[.,.],[.,.]],[.,.]]]
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [6,1,4,2,3,5] => [1,6,3,5,4,2] => [.,[[[.,.],[[.,.],.]],.]]
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [6,1,4,3,2,5] => [1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [6,1,5,2,3,4] => [1,6,2,5,4,3] => [.,[[.,.],[[[.,.],.],.]]]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [6,1,5,2,4,3] => [1,6,2,5,3,4] => [.,[[.,.],[[.,.],[.,.]]]]
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [6,1,5,3,2,4] => [1,6,2,4,5,3] => [.,[[.,.],[[.,[.,.]],.]]]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [6,1,5,4,2,3] => [1,6,2,3,5,4] => [.,[[.,.],[.,[[.,.],.]]]]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => [.,[[.,.],[.,[.,[.,.]]]]]
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [6,2,1,3,4,5] => [1,5,6,4,3,2] => [.,[[[[.,[.,.]],.],.],.]]
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [6,2,1,3,5,4] => [1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]]
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [6,2,1,4,3,5] => [1,5,6,3,4,2] => [.,[[[.,[.,.]],[.,.]],.]]
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [6,2,1,5,3,4] => [1,5,6,2,4,3] => [.,[[.,[.,.]],[[.,.],.]]]
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [6,2,1,5,4,3] => [1,5,6,2,3,4] => [.,[[.,[.,.]],[.,[.,.]]]]
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [6,3,1,2,4,5] => [1,4,6,5,3,2] => [.,[[[.,[[.,.],.]],.],.]]
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [6,3,1,2,5,4] => [1,4,6,5,2,3] => [.,[[.,[[.,.],.]],[.,.]]]
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [6,3,2,1,4,5] => [1,4,5,6,3,2] => [.,[[[.,[.,[.,.]]],.],.]]
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [6,3,2,1,5,4] => [1,4,5,6,2,3] => [.,[[.,[.,[.,.]]],[.,.]]]
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [6,4,1,2,3,5] => [1,3,6,5,4,2] => [.,[[.,[[[.,.],.],.]],.]]
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [6,4,1,3,2,5] => [1,3,6,4,5,2] => [.,[[.,[[.,.],[.,.]]],.]]
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [6,4,2,1,3,5] => [1,3,5,6,4,2] => [.,[[.,[[.,[.,.]],.]],.]]
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [6,4,3,1,2,5] => [1,3,4,6,5,2] => [.,[[.,[.,[[.,.],.]]],.]]
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [6,4,3,2,1,5] => [1,3,4,5,6,2] => [.,[[.,[.,[.,[.,.]]]],.]]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [6,5,1,2,3,4] => [1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [6,5,1,2,4,3] => [1,2,6,5,3,4] => [.,[.,[[[.,.],.],[.,.]]]]
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [6,5,1,3,2,4] => [1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [6,5,1,4,2,3] => [1,2,6,3,5,4] => [.,[.,[[.,.],[[.,.],.]]]]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [6,5,1,4,3,2] => [1,2,6,3,4,5] => [.,[.,[[.,.],[.,[.,.]]]]]
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [6,5,2,1,3,4] => [1,2,5,6,4,3] => [.,[.,[[[.,[.,.]],.],.]]]
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [6,5,2,1,4,3] => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]]
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [6,5,3,1,2,4] => [1,2,4,6,5,3] => [.,[.,[[.,[[.,.],.]],.]]]
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [6,5,3,2,1,4] => [1,2,4,5,6,3] => [.,[.,[[.,[.,[.,.]]],.]]]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [6,5,4,1,2,3] => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [6,5,4,1,3,2] => [1,2,3,6,4,5] => [.,[.,[.,[[.,.],[.,.]]]]]
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [6,5,4,2,1,3] => [1,2,3,5,6,4] => [.,[.,[.,[[.,[.,.]],.]]]]
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [6,5,4,3,1,2] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]]
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [[[[[[.,.],.],.],.],.],[.,.]]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [[[[[[.,.],.],.],.],[.,.]],.]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [[[[[.,.],.],.],.],[[.,.],.]]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [[[[[.,.],.],.],.],[.,[.,.]]]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [[[[[[.,.],.],.],[.,.]],.],.]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [[[[[.,.],.],.],[[.,.],.]],.]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [[[[[.,.],.],.],[.,[.,.]]],.]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [1,2,3,7,4,5,6] => [7,6,5,1,4,3,2] => [[[[.,.],.],.],[[[.,.],.],.]]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [1,2,3,7,4,6,5] => [7,6,5,1,4,2,3] => [[[[.,.],.],.],[[.,.],[.,.]]]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [[[[.,.],.],.],[[.,[.,.]],.]]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [[[[.,.],.],.],[.,[[.,.],.]]]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [[[[.,.],.],.],[.,[.,[.,.]]]]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [[[[[.,.],.],[.,.]],.],[.,.]]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [[[[[.,.],.],[.,.]],[.,.]],.]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [1,2,4,3,7,5,6] => [7,6,4,5,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [1,2,5,3,4,7,6] => [7,6,3,5,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [1,2,6,3,4,5,7] => [7,6,2,5,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [1,2,6,3,5,4,7] => [7,6,2,5,3,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [[[[.,.],.],[.,[[.,.],.]]],.]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [[[[.,.],.],[.,[.,[.,.]]]],.]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [1,2,7,3,4,5,6] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [1,2,7,3,4,6,5] => [7,6,1,5,4,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [1,2,7,3,5,4,6] => [7,6,1,5,3,4,2] => [[[.,.],.],[[[.,.],[.,.]],.]]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [1,2,7,3,6,4,5] => [7,6,1,5,2,4,3] => [[[.,.],.],[[.,.],[[.,.],.]]]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [1,2,7,3,6,5,4] => [7,6,1,5,2,3,4] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [1,2,7,4,3,5,6] => [7,6,1,4,5,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [1,2,7,4,3,6,5] => [7,6,1,4,5,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [1,2,7,5,3,4,6] => [7,6,1,3,5,4,2] => [[[.,.],.],[[.,[[.,.],.]],.]]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [[[.,.],.],[[.,[.,[.,.]]],.]]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [1,2,7,6,3,4,5] => [7,6,1,2,5,4,3] => [[[.,.],.],[.,[[[.,.],.],.]]]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [1,2,7,6,3,5,4] => [7,6,1,2,5,3,4] => [[[.,.],.],[.,[[.,.],[.,.]]]]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [[[.,.],.],[.,[[.,[.,.]],.]]]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [[[.,.],.],[.,[.,[[.,.],.]]]]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [[[.,.],.],[.,[.,[.,[.,.]]]]]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [[[[[[.,.],[.,.]],.],.],.],.]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [[[[[.,.],[.,.]],.],.],[.,.]]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [1,3,2,4,7,5,6] => [7,5,6,4,1,3,2] => [[[[.,.],[.,.]],.],[[.,.],.]]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [[[[.,.],[.,.]],.],[.,[.,.]]]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [1,3,2,5,4,7,6] => [7,5,6,3,4,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [1,3,2,6,4,5,7] => [7,5,6,2,4,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [[[[.,.],[.,.]],[.,[.,.]]],.]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [1,3,2,7,4,5,6] => [7,5,6,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [1,3,2,7,4,6,5] => [7,5,6,1,4,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [1,3,2,7,5,4,6] => [7,5,6,1,3,4,2] => [[[.,.],[.,.]],[[.,[.,.]],.]]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [1,3,2,7,6,4,5] => [7,5,6,1,2,4,3] => [[[.,.],[.,.]],[.,[[.,.],.]]]
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [[[.,.],[.,.]],[.,[.,[.,.]]]]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [1,4,2,3,5,7,6] => [7,4,6,5,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [1,4,2,3,6,5,7] => [7,4,6,5,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [1,4,2,3,7,5,6] => [7,4,6,5,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [1,4,2,3,7,6,5] => [7,4,6,5,1,2,3] => [[[.,.],[[.,.],.]],[.,[.,.]]]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [[[[[.,.],[.,[.,.]]],.],.],.]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [[[[.,.],[.,[.,.]]],.],[.,.]]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [[[[.,.],[.,[.,.]]],[.,.]],.]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [1,4,3,2,7,5,6] => [7,4,5,6,1,3,2] => [[[.,.],[.,[.,.]]],[[.,.],.]]
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [1,5,2,3,4,6,7] => [7,3,6,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [1,5,2,3,4,7,6] => [7,3,6,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [1,5,2,4,3,6,7] => [7,3,6,4,5,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [1,5,2,4,3,7,6] => [7,3,6,4,5,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [[[[.,.],[[.,[.,.]],.]],.],.]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [1,5,3,2,4,7,6] => [7,3,5,6,4,1,2] => [[[.,.],[[.,[.,.]],.]],[.,.]]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [1,5,4,2,3,7,6] => [7,3,4,6,5,1,2] => [[[.,.],[.,[[.,.],.]]],[.,.]]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [[[[.,.],[.,[.,[.,.]]]],.],.]
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [[[.,.],[.,[.,[.,.]]]],[.,.]]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [1,6,2,3,4,5,7] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [1,6,2,3,5,4,7] => [7,2,6,5,3,4,1] => [[[.,.],[[[.,.],.],[.,.]]],.]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [1,6,2,4,3,5,7] => [7,2,6,4,5,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [1,6,2,5,3,4,7] => [7,2,6,3,5,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [1,6,2,5,4,3,7] => [7,2,6,3,4,5,1] => [[[.,.],[[.,.],[.,[.,.]]]],.]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [1,6,3,2,4,5,7] => [7,2,5,6,4,3,1] => [[[.,.],[[[.,[.,.]],.],.]],.]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [1,6,3,2,5,4,7] => [7,2,5,6,3,4,1] => [[[.,.],[[.,[.,.]],[.,.]]],.]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => [[[.,.],[[.,[[.,.],.]],.]],.]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [[[.,.],[[.,[.,[.,.]]],.]],.]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [1,6,5,2,3,4,7] => [7,2,3,6,5,4,1] => [[[.,.],[.,[[[.,.],.],.]]],.]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [1,6,5,2,4,3,7] => [7,2,3,6,4,5,1] => [[[.,.],[.,[[.,.],[.,.]]]],.]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [[[.,.],[.,[[.,[.,.]],.]]],.]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [[[.,.],[.,[.,[[.,.],.]]]],.]
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [1,7,2,3,4,5,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [1,7,2,3,4,6,5] => [7,1,6,5,4,2,3] => [[.,.],[[[[.,.],.],.],[.,.]]]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [1,7,2,3,5,4,6] => [7,1,6,5,3,4,2] => [[.,.],[[[[.,.],.],[.,.]],.]]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [1,7,2,3,6,4,5] => [7,1,6,5,2,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [1,7,2,3,6,5,4] => [7,1,6,5,2,3,4] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [1,7,2,4,3,5,6] => [7,1,6,4,5,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [1,7,2,4,3,6,5] => [7,1,6,4,5,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [1,7,2,5,3,4,6] => [7,1,6,3,5,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [1,7,2,5,4,3,6] => [7,1,6,3,4,5,2] => [[.,.],[[[.,.],[.,[.,.]]],.]]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [1,7,2,6,3,4,5] => [7,1,6,2,5,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [1,7,2,6,3,5,4] => [7,1,6,2,5,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [1,7,2,6,4,3,5] => [7,1,6,2,4,5,3] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [1,7,2,6,5,3,4] => [7,1,6,2,3,5,4] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [1,7,2,6,5,4,3] => [7,1,6,2,3,4,5] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [1,7,3,2,4,5,6] => [7,1,5,6,4,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [1,7,3,2,4,6,5] => [7,1,5,6,4,2,3] => [[.,.],[[[.,[.,.]],.],[.,.]]]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [1,7,3,2,5,4,6] => [7,1,5,6,3,4,2] => [[.,.],[[[.,[.,.]],[.,.]],.]]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [1,7,3,2,6,4,5] => [7,1,5,6,2,4,3] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [1,7,3,2,6,5,4] => [7,1,5,6,2,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [1,7,4,2,3,5,6] => [7,1,4,6,5,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [1,7,4,2,3,6,5] => [7,1,4,6,5,2,3] => [[.,.],[[.,[[.,.],.]],[.,.]]]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [[.,.],[[[.,[.,[.,.]]],.],.]]
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [1,7,4,3,2,6,5] => [7,1,4,5,6,2,3] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [1,7,5,2,3,4,6] => [7,1,3,6,5,4,2] => [[.,.],[[.,[[[.,.],.],.]],.]]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [1,7,5,2,4,3,6] => [7,1,3,6,4,5,2] => [[.,.],[[.,[[.,.],[.,.]]],.]]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [[.,.],[[.,[[.,[.,.]],.]],.]]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [[.,.],[[.,[.,[[.,.],.]]],.]]
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [1,7,6,2,3,4,5] => [7,1,2,6,5,4,3] => [[.,.],[.,[[[[.,.],.],.],.]]]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [1,7,6,2,3,5,4] => [7,1,2,6,5,3,4] => [[.,.],[.,[[[.,.],.],[.,.]]]]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [1,7,6,2,4,3,5] => [7,1,2,6,4,5,3] => [[.,.],[.,[[[.,.],[.,.]],.]]]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [1,7,6,2,5,3,4] => [7,1,2,6,3,5,4] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [1,7,6,2,5,4,3] => [7,1,2,6,3,4,5] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [[.,.],[.,[[[.,[.,.]],.],.]]]
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [1,7,6,3,2,5,4] => [7,1,2,5,6,3,4] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [[.,.],[.,[[.,[[.,.],.]],.]]]
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [[.,.],[.,[[.,[.,[.,.]]],.]]]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [[.,.],[.,[.,[[[.,.],.],.]]]]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [1,7,6,5,2,4,3] => [7,1,2,3,6,4,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [[.,.],[.,[.,[[.,[.,.]],.]]]]
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [[.,.],[.,[.,[.,[[.,.],.]]]]]
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [2,1,3,4,5,6,7] => [6,7,5,4,3,2,1] => [[[[[[.,[.,.]],.],.],.],.],.]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [2,1,3,4,5,7,6] => [6,7,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [2,1,3,4,6,5,7] => [6,7,5,4,2,3,1] => [[[[[.,[.,.]],.],.],[.,.]],.]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [2,1,3,4,7,5,6] => [6,7,5,4,1,3,2] => [[[[.,[.,.]],.],.],[[.,.],.]]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [2,1,3,4,7,6,5] => [6,7,5,4,1,2,3] => [[[[.,[.,.]],.],.],[.,[.,.]]]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [2,1,3,5,4,6,7] => [6,7,5,3,4,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [2,1,3,5,4,7,6] => [6,7,5,3,4,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [2,1,3,6,4,5,7] => [6,7,5,2,4,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [2,1,3,6,5,4,7] => [6,7,5,2,3,4,1] => [[[[.,[.,.]],.],[.,[.,.]]],.]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [2,1,3,7,4,5,6] => [6,7,5,1,4,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [2,1,3,7,4,6,5] => [6,7,5,1,4,2,3] => [[[.,[.,.]],.],[[.,.],[.,.]]]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [2,1,3,7,5,4,6] => [6,7,5,1,3,4,2] => [[[.,[.,.]],.],[[.,[.,.]],.]]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [2,1,3,7,6,4,5] => [6,7,5,1,2,4,3] => [[[.,[.,.]],.],[.,[[.,.],.]]]
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [2,1,3,7,6,5,4] => [6,7,5,1,2,3,4] => [[[.,[.,.]],.],[.,[.,[.,.]]]]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [2,1,4,3,5,6,7] => [6,7,4,5,3,2,1] => [[[[[.,[.,.]],[.,.]],.],.],.]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [2,1,4,3,5,7,6] => [6,7,4,5,3,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [2,1,4,3,6,5,7] => [6,7,4,5,2,3,1] => [[[[.,[.,.]],[.,.]],[.,.]],.]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [2,1,4,3,7,5,6] => [6,7,4,5,1,3,2] => [[[.,[.,.]],[.,.]],[[.,.],.]]
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [2,1,4,3,7,6,5] => [6,7,4,5,1,2,3] => [[[.,[.,.]],[.,.]],[.,[.,.]]]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [2,1,5,3,4,6,7] => [6,7,3,5,4,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [2,1,5,3,4,7,6] => [6,7,3,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [2,1,5,4,3,6,7] => [6,7,3,4,5,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.]
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [2,1,5,4,3,7,6] => [6,7,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [2,1,6,3,4,5,7] => [6,7,2,5,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [2,1,6,3,5,4,7] => [6,7,2,5,3,4,1] => [[[.,[.,.]],[[.,.],[.,.]]],.]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [2,1,6,4,3,5,7] => [6,7,2,4,5,3,1] => [[[.,[.,.]],[[.,[.,.]],.]],.]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [2,1,6,5,3,4,7] => [6,7,2,3,5,4,1] => [[[.,[.,.]],[.,[[.,.],.]]],.]
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [2,1,6,5,4,3,7] => [6,7,2,3,4,5,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [2,1,7,3,4,5,6] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [2,1,7,3,4,6,5] => [6,7,1,5,4,2,3] => [[.,[.,.]],[[[.,.],.],[.,.]]]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [2,1,7,3,5,4,6] => [6,7,1,5,3,4,2] => [[.,[.,.]],[[[.,.],[.,.]],.]]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [2,1,7,3,6,4,5] => [6,7,1,5,2,4,3] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [2,1,7,3,6,5,4] => [6,7,1,5,2,3,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [2,1,7,4,3,5,6] => [6,7,1,4,5,3,2] => [[.,[.,.]],[[[.,[.,.]],.],.]]
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [2,1,7,4,3,6,5] => [6,7,1,4,5,2,3] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [2,1,7,5,3,4,6] => [6,7,1,3,5,4,2] => [[.,[.,.]],[[.,[[.,.],.]],.]]
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [2,1,7,5,4,3,6] => [6,7,1,3,4,5,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [2,1,7,6,3,4,5] => [6,7,1,2,5,4,3] => [[.,[.,.]],[.,[[[.,.],.],.]]]
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [2,1,7,6,3,5,4] => [6,7,1,2,5,3,4] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [2,1,7,6,4,3,5] => [6,7,1,2,4,5,3] => [[.,[.,.]],[.,[[.,[.,.]],.]]]
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [2,1,7,6,5,3,4] => [6,7,1,2,3,5,4] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [2,1,7,6,5,4,3] => [6,7,1,2,3,4,5] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [3,1,2,4,5,6,7] => [5,7,6,4,3,2,1] => [[[[[.,[[.,.],.]],.],.],.],.]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [3,1,2,4,5,7,6] => [5,7,6,4,3,1,2] => [[[[.,[[.,.],.]],.],.],[.,.]]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [3,1,2,4,6,5,7] => [5,7,6,4,2,3,1] => [[[[.,[[.,.],.]],.],[.,.]],.]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [3,1,2,4,7,5,6] => [5,7,6,4,1,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [3,1,2,4,7,6,5] => [5,7,6,4,1,2,3] => [[[.,[[.,.],.]],.],[.,[.,.]]]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [3,1,2,5,4,6,7] => [5,7,6,3,4,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [3,1,2,5,4,7,6] => [5,7,6,3,4,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [3,1,2,6,4,5,7] => [5,7,6,2,4,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [3,1,2,6,5,4,7] => [5,7,6,2,3,4,1] => [[[.,[[.,.],.]],[.,[.,.]]],.]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [3,1,2,7,4,5,6] => [5,7,6,1,4,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [3,1,2,7,4,6,5] => [5,7,6,1,4,2,3] => [[.,[[.,.],.]],[[.,.],[.,.]]]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [3,1,2,7,5,4,6] => [5,7,6,1,3,4,2] => [[.,[[.,.],.]],[[.,[.,.]],.]]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [3,1,2,7,6,4,5] => [5,7,6,1,2,4,3] => [[.,[[.,.],.]],[.,[[.,.],.]]]
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [3,1,2,7,6,5,4] => [5,7,6,1,2,3,4] => [[.,[[.,.],.]],[.,[.,[.,.]]]]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [3,2,1,4,5,6,7] => [5,6,7,4,3,2,1] => [[[[[.,[.,[.,.]]],.],.],.],.]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [3,2,1,4,5,7,6] => [5,6,7,4,3,1,2] => [[[[.,[.,[.,.]]],.],.],[.,.]]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [3,2,1,4,6,5,7] => [5,6,7,4,2,3,1] => [[[[.,[.,[.,.]]],.],[.,.]],.]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [3,2,1,4,7,5,6] => [5,6,7,4,1,3,2] => [[[.,[.,[.,.]]],.],[[.,.],.]]
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [3,2,1,4,7,6,5] => [5,6,7,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [3,2,1,5,4,6,7] => [5,6,7,3,4,2,1] => [[[[.,[.,[.,.]]],[.,.]],.],.]
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [3,2,1,5,4,7,6] => [5,6,7,3,4,1,2] => [[[.,[.,[.,.]]],[.,.]],[.,.]]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [3,2,1,6,4,5,7] => [5,6,7,2,4,3,1] => [[[.,[.,[.,.]]],[[.,.],.]],.]
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [3,2,1,6,5,4,7] => [5,6,7,2,3,4,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [3,2,1,7,4,5,6] => [5,6,7,1,4,3,2] => [[.,[.,[.,.]]],[[[.,.],.],.]]
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [3,2,1,7,4,6,5] => [5,6,7,1,4,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [3,2,1,7,5,4,6] => [5,6,7,1,3,4,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]]
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [3,2,1,7,6,4,5] => [5,6,7,1,2,4,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [3,2,1,7,6,5,4] => [5,6,7,1,2,3,4] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [4,1,2,3,5,6,7] => [4,7,6,5,3,2,1] => [[[[.,[[[.,.],.],.]],.],.],.]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [4,1,2,3,5,7,6] => [4,7,6,5,3,1,2] => [[[.,[[[.,.],.],.]],.],[.,.]]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [4,1,2,3,6,5,7] => [4,7,6,5,2,3,1] => [[[.,[[[.,.],.],.]],[.,.]],.]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [4,1,2,3,7,5,6] => [4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [4,1,2,3,7,6,5] => [4,7,6,5,1,2,3] => [[.,[[[.,.],.],.]],[.,[.,.]]]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [4,1,3,2,5,6,7] => [4,7,5,6,3,2,1] => [[[[.,[[.,.],[.,.]]],.],.],.]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [4,1,3,2,5,7,6] => [4,7,5,6,3,1,2] => [[[.,[[.,.],[.,.]]],.],[.,.]]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [4,1,3,2,6,5,7] => [4,7,5,6,2,3,1] => [[[.,[[.,.],[.,.]]],[.,.]],.]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [4,1,3,2,7,5,6] => [4,7,5,6,1,3,2] => [[.,[[.,.],[.,.]]],[[.,.],.]]
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [4,1,3,2,7,6,5] => [4,7,5,6,1,2,3] => [[.,[[.,.],[.,.]]],[.,[.,.]]]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [4,2,1,3,5,6,7] => [4,6,7,5,3,2,1] => [[[[.,[[.,[.,.]],.]],.],.],.]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [4,2,1,3,5,7,6] => [4,6,7,5,3,1,2] => [[[.,[[.,[.,.]],.]],.],[.,.]]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [4,2,1,3,6,5,7] => [4,6,7,5,2,3,1] => [[[.,[[.,[.,.]],.]],[.,.]],.]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [4,2,1,3,7,5,6] => [4,6,7,5,1,3,2] => [[.,[[.,[.,.]],.]],[[.,.],.]]
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [4,2,1,3,7,6,5] => [4,6,7,5,1,2,3] => [[.,[[.,[.,.]],.]],[.,[.,.]]]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [4,3,1,2,5,6,7] => [4,5,7,6,3,2,1] => [[[[.,[.,[[.,.],.]]],.],.],.]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [4,3,1,2,5,7,6] => [4,5,7,6,3,1,2] => [[[.,[.,[[.,.],.]]],.],[.,.]]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [4,3,1,2,6,5,7] => [4,5,7,6,2,3,1] => [[[.,[.,[[.,.],.]]],[.,.]],.]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [4,3,1,2,7,5,6] => [4,5,7,6,1,3,2] => [[.,[.,[[.,.],.]]],[[.,.],.]]
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [4,3,1,2,7,6,5] => [4,5,7,6,1,2,3] => [[.,[.,[[.,.],.]]],[.,[.,.]]]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [4,3,2,1,5,6,7] => [4,5,6,7,3,2,1] => [[[[.,[.,[.,[.,.]]]],.],.],.]
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [4,3,2,1,5,7,6] => [4,5,6,7,3,1,2] => [[[.,[.,[.,[.,.]]]],.],[.,.]]
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [4,3,2,1,6,5,7] => [4,5,6,7,2,3,1] => [[[.,[.,[.,[.,.]]]],[.,.]],.]
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [4,3,2,1,7,5,6] => [4,5,6,7,1,3,2] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [4,3,2,1,7,6,5] => [4,5,6,7,1,2,3] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [5,1,2,3,4,6,7] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [5,1,2,3,4,7,6] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [5,1,2,4,3,6,7] => [3,7,6,4,5,2,1] => [[[.,[[[.,.],.],[.,.]]],.],.]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [5,1,2,4,3,7,6] => [3,7,6,4,5,1,2] => [[.,[[[.,.],.],[.,.]]],[.,.]]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [5,1,3,2,4,6,7] => [3,7,5,6,4,2,1] => [[[.,[[[.,.],[.,.]],.]],.],.]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [5,1,3,2,4,7,6] => [3,7,5,6,4,1,2] => [[.,[[[.,.],[.,.]],.]],[.,.]]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [5,1,4,2,3,6,7] => [3,7,4,6,5,2,1] => [[[.,[[.,.],[[.,.],.]]],.],.]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [5,1,4,2,3,7,6] => [3,7,4,6,5,1,2] => [[.,[[.,.],[[.,.],.]]],[.,.]]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [5,1,4,3,2,6,7] => [3,7,4,5,6,2,1] => [[[.,[[.,.],[.,[.,.]]]],.],.]
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [5,1,4,3,2,7,6] => [3,7,4,5,6,1,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [5,2,1,3,4,6,7] => [3,6,7,5,4,2,1] => [[[.,[[[.,[.,.]],.],.]],.],.]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [5,2,1,3,4,7,6] => [3,6,7,5,4,1,2] => [[.,[[[.,[.,.]],.],.]],[.,.]]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [5,2,1,4,3,6,7] => [3,6,7,4,5,2,1] => [[[.,[[.,[.,.]],[.,.]]],.],.]
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [5,2,1,4,3,7,6] => [3,6,7,4,5,1,2] => [[.,[[.,[.,.]],[.,.]]],[.,.]]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [5,3,1,2,4,6,7] => [3,5,7,6,4,2,1] => [[[.,[[.,[[.,.],.]],.]],.],.]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [5,3,1,2,4,7,6] => [3,5,7,6,4,1,2] => [[.,[[.,[[.,.],.]],.]],[.,.]]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [5,3,2,1,4,6,7] => [3,5,6,7,4,2,1] => [[[.,[[.,[.,[.,.]]],.]],.],.]
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [5,3,2,1,4,7,6] => [3,5,6,7,4,1,2] => [[.,[[.,[.,[.,.]]],.]],[.,.]]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [5,4,1,2,3,6,7] => [3,4,7,6,5,2,1] => [[[.,[.,[[[.,.],.],.]]],.],.]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [5,4,1,2,3,7,6] => [3,4,7,6,5,1,2] => [[.,[.,[[[.,.],.],.]]],[.,.]]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [5,4,1,3,2,6,7] => [3,4,7,5,6,2,1] => [[[.,[.,[[.,.],[.,.]]]],.],.]
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [5,4,1,3,2,7,6] => [3,4,7,5,6,1,2] => [[.,[.,[[.,.],[.,.]]]],[.,.]]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [5,4,2,1,3,6,7] => [3,4,6,7,5,2,1] => [[[.,[.,[[.,[.,.]],.]]],.],.]
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [5,4,2,1,3,7,6] => [3,4,6,7,5,1,2] => [[.,[.,[[.,[.,.]],.]]],[.,.]]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [5,4,3,1,2,6,7] => [3,4,5,7,6,2,1] => [[[.,[.,[.,[[.,.],.]]]],.],.]
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [5,4,3,1,2,7,6] => [3,4,5,7,6,1,2] => [[.,[.,[.,[[.,.],.]]]],[.,.]]
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [5,4,3,2,1,6,7] => [3,4,5,6,7,2,1] => [[[.,[.,[.,[.,[.,.]]]]],.],.]
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [5,4,3,2,1,7,6] => [3,4,5,6,7,1,2] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [6,1,2,3,4,5,7] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [6,1,2,3,5,4,7] => [2,7,6,5,3,4,1] => [[.,[[[[.,.],.],.],[.,.]]],.]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [6,1,2,4,3,5,7] => [2,7,6,4,5,3,1] => [[.,[[[[.,.],.],[.,.]],.]],.]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [6,1,2,5,3,4,7] => [2,7,6,3,5,4,1] => [[.,[[[.,.],.],[[.,.],.]]],.]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [6,1,2,5,4,3,7] => [2,7,6,3,4,5,1] => [[.,[[[.,.],.],[.,[.,.]]]],.]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [6,1,3,2,4,5,7] => [2,7,5,6,4,3,1] => [[.,[[[[.,.],[.,.]],.],.]],.]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [6,1,3,2,5,4,7] => [2,7,5,6,3,4,1] => [[.,[[[.,.],[.,.]],[.,.]]],.]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [6,1,4,2,3,5,7] => [2,7,4,6,5,3,1] => [[.,[[[.,.],[[.,.],.]],.]],.]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [6,1,4,3,2,5,7] => [2,7,4,5,6,3,1] => [[.,[[[.,.],[.,[.,.]]],.]],.]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [6,1,5,2,3,4,7] => [2,7,3,6,5,4,1] => [[.,[[.,.],[[[.,.],.],.]]],.]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [6,1,5,2,4,3,7] => [2,7,3,6,4,5,1] => [[.,[[.,.],[[.,.],[.,.]]]],.]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [6,1,5,3,2,4,7] => [2,7,3,5,6,4,1] => [[.,[[.,.],[[.,[.,.]],.]]],.]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [6,1,5,4,2,3,7] => [2,7,3,4,6,5,1] => [[.,[[.,.],[.,[[.,.],.]]]],.]
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [6,1,5,4,3,2,7] => [2,7,3,4,5,6,1] => [[.,[[.,.],[.,[.,[.,.]]]]],.]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [6,2,1,3,4,5,7] => [2,6,7,5,4,3,1] => [[.,[[[[.,[.,.]],.],.],.]],.]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [6,2,1,3,5,4,7] => [2,6,7,5,3,4,1] => [[.,[[[.,[.,.]],.],[.,.]]],.]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [6,2,1,4,3,5,7] => [2,6,7,4,5,3,1] => [[.,[[[.,[.,.]],[.,.]],.]],.]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [6,2,1,5,3,4,7] => [2,6,7,3,5,4,1] => [[.,[[.,[.,.]],[[.,.],.]]],.]
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [6,2,1,5,4,3,7] => [2,6,7,3,4,5,1] => [[.,[[.,[.,.]],[.,[.,.]]]],.]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [6,3,1,2,4,5,7] => [2,5,7,6,4,3,1] => [[.,[[[.,[[.,.],.]],.],.]],.]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [6,3,1,2,5,4,7] => [2,5,7,6,3,4,1] => [[.,[[.,[[.,.],.]],[.,.]]],.]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [6,3,2,1,4,5,7] => [2,5,6,7,4,3,1] => [[.,[[[.,[.,[.,.]]],.],.]],.]
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [6,3,2,1,5,4,7] => [2,5,6,7,3,4,1] => [[.,[[.,[.,[.,.]]],[.,.]]],.]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [6,4,1,2,3,5,7] => [2,4,7,6,5,3,1] => [[.,[[.,[[[.,.],.],.]],.]],.]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [6,4,1,3,2,5,7] => [2,4,7,5,6,3,1] => [[.,[[.,[[.,.],[.,.]]],.]],.]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [6,4,2,1,3,5,7] => [2,4,6,7,5,3,1] => [[.,[[.,[[.,[.,.]],.]],.]],.]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [6,4,3,1,2,5,7] => [2,4,5,7,6,3,1] => [[.,[[.,[.,[[.,.],.]]],.]],.]
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [6,4,3,2,1,5,7] => [2,4,5,6,7,3,1] => [[.,[[.,[.,[.,[.,.]]]],.]],.]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [6,5,1,2,3,4,7] => [2,3,7,6,5,4,1] => [[.,[.,[[[[.,.],.],.],.]]],.]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [6,5,1,2,4,3,7] => [2,3,7,6,4,5,1] => [[.,[.,[[[.,.],.],[.,.]]]],.]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [6,5,1,3,2,4,7] => [2,3,7,5,6,4,1] => [[.,[.,[[[.,.],[.,.]],.]]],.]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [6,5,1,4,2,3,7] => [2,3,7,4,6,5,1] => [[.,[.,[[.,.],[[.,.],.]]]],.]
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [6,5,1,4,3,2,7] => [2,3,7,4,5,6,1] => [[.,[.,[[.,.],[.,[.,.]]]]],.]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [6,5,2,1,3,4,7] => [2,3,6,7,5,4,1] => [[.,[.,[[[.,[.,.]],.],.]]],.]
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [6,5,2,1,4,3,7] => [2,3,6,7,4,5,1] => [[.,[.,[[.,[.,.]],[.,.]]]],.]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [6,5,3,1,2,4,7] => [2,3,5,7,6,4,1] => [[.,[.,[[.,[[.,.],.]],.]]],.]
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [6,5,3,2,1,4,7] => [2,3,5,6,7,4,1] => [[.,[.,[[.,[.,[.,.]]],.]]],.]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [6,5,4,1,2,3,7] => [2,3,4,7,6,5,1] => [[.,[.,[.,[[[.,.],.],.]]]],.]
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [6,5,4,1,3,2,7] => [2,3,4,7,5,6,1] => [[.,[.,[.,[[.,.],[.,.]]]]],.]
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [6,5,4,2,1,3,7] => [2,3,4,6,7,5,1] => [[.,[.,[.,[[.,[.,.]],.]]]],.]
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [6,5,4,3,1,2,7] => [2,3,4,5,7,6,1] => [[.,[.,[.,[.,[[.,.],.]]]]],.]
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [6,5,4,3,2,1,7] => [2,3,4,5,6,7,1] => [[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [7,1,2,3,4,6,5] => [1,7,6,5,4,2,3] => [.,[[[[[.,.],.],.],.],[.,.]]]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [7,1,2,3,5,4,6] => [1,7,6,5,3,4,2] => [.,[[[[[.,.],.],.],[.,.]],.]]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [7,1,2,3,6,4,5] => [1,7,6,5,2,4,3] => [.,[[[[.,.],.],.],[[.,.],.]]]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [7,1,2,3,6,5,4] => [1,7,6,5,2,3,4] => [.,[[[[.,.],.],.],[.,[.,.]]]]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [7,1,2,4,3,5,6] => [1,7,6,4,5,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [7,1,2,4,3,6,5] => [1,7,6,4,5,2,3] => [.,[[[[.,.],.],[.,.]],[.,.]]]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [7,1,2,5,3,4,6] => [1,7,6,3,5,4,2] => [.,[[[[.,.],.],[[.,.],.]],.]]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [7,1,2,5,4,3,6] => [1,7,6,3,4,5,2] => [.,[[[[.,.],.],[.,[.,.]]],.]]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [7,1,2,6,3,4,5] => [1,7,6,2,5,4,3] => [.,[[[.,.],.],[[[.,.],.],.]]]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [7,1,2,6,3,5,4] => [1,7,6,2,5,3,4] => [.,[[[.,.],.],[[.,.],[.,.]]]]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [7,1,2,6,4,3,5] => [1,7,6,2,4,5,3] => [.,[[[.,.],.],[[.,[.,.]],.]]]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [7,1,2,6,5,3,4] => [1,7,6,2,3,5,4] => [.,[[[.,.],.],[.,[[.,.],.]]]]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [7,1,2,6,5,4,3] => [1,7,6,2,3,4,5] => [.,[[[.,.],.],[.,[.,[.,.]]]]]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [7,1,3,2,4,5,6] => [1,7,5,6,4,3,2] => [.,[[[[[.,.],[.,.]],.],.],.]]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [7,1,3,2,4,6,5] => [1,7,5,6,4,2,3] => [.,[[[[.,.],[.,.]],.],[.,.]]]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [7,1,3,2,5,4,6] => [1,7,5,6,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],.]]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [7,1,3,2,6,4,5] => [1,7,5,6,2,4,3] => [.,[[[.,.],[.,.]],[[.,.],.]]]
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [7,1,3,2,6,5,4] => [1,7,5,6,2,3,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [7,1,4,2,3,5,6] => [1,7,4,6,5,3,2] => [.,[[[[.,.],[[.,.],.]],.],.]]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [7,1,4,2,3,6,5] => [1,7,4,6,5,2,3] => [.,[[[.,.],[[.,.],.]],[.,.]]]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [7,1,4,3,2,5,6] => [1,7,4,5,6,3,2] => [.,[[[[.,.],[.,[.,.]]],.],.]]
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [7,1,4,3,2,6,5] => [1,7,4,5,6,2,3] => [.,[[[.,.],[.,[.,.]]],[.,.]]]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [7,1,5,2,3,4,6] => [1,7,3,6,5,4,2] => [.,[[[.,.],[[[.,.],.],.]],.]]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [7,1,5,2,4,3,6] => [1,7,3,6,4,5,2] => [.,[[[.,.],[[.,.],[.,.]]],.]]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [7,1,5,3,2,4,6] => [1,7,3,5,6,4,2] => [.,[[[.,.],[[.,[.,.]],.]],.]]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [7,1,5,4,2,3,6] => [1,7,3,4,6,5,2] => [.,[[[.,.],[.,[[.,.],.]]],.]]
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [7,1,5,4,3,2,6] => [1,7,3,4,5,6,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [7,1,6,2,3,4,5] => [1,7,2,6,5,4,3] => [.,[[.,.],[[[[.,.],.],.],.]]]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [7,1,6,2,3,5,4] => [1,7,2,6,5,3,4] => [.,[[.,.],[[[.,.],.],[.,.]]]]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [7,1,6,2,4,3,5] => [1,7,2,6,4,5,3] => [.,[[.,.],[[[.,.],[.,.]],.]]]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [7,1,6,2,5,3,4] => [1,7,2,6,3,5,4] => [.,[[.,.],[[.,.],[[.,.],.]]]]
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [7,1,6,2,5,4,3] => [1,7,2,6,3,4,5] => [.,[[.,.],[[.,.],[.,[.,.]]]]]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [7,1,6,3,2,4,5] => [1,7,2,5,6,4,3] => [.,[[.,.],[[[.,[.,.]],.],.]]]
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [7,1,6,3,2,5,4] => [1,7,2,5,6,3,4] => [.,[[.,.],[[.,[.,.]],[.,.]]]]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [7,1,6,4,2,3,5] => [1,7,2,4,6,5,3] => [.,[[.,.],[[.,[[.,.],.]],.]]]
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [7,1,6,4,3,2,5] => [1,7,2,4,5,6,3] => [.,[[.,.],[[.,[.,[.,.]]],.]]]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [7,1,6,5,2,3,4] => [1,7,2,3,6,5,4] => [.,[[.,.],[.,[[[.,.],.],.]]]]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [7,1,6,5,2,4,3] => [1,7,2,3,6,4,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]]
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [7,1,6,5,3,2,4] => [1,7,2,3,5,6,4] => [.,[[.,.],[.,[[.,[.,.]],.]]]]
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [7,1,6,5,4,2,3] => [1,7,2,3,4,6,5] => [.,[[.,.],[.,[.,[[.,.],.]]]]]
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [7,1,6,5,4,3,2] => [1,7,2,3,4,5,6] => [.,[[.,.],[.,[.,[.,[.,.]]]]]]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [7,2,1,3,4,5,6] => [1,6,7,5,4,3,2] => [.,[[[[[.,[.,.]],.],.],.],.]]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [7,2,1,3,4,6,5] => [1,6,7,5,4,2,3] => [.,[[[[.,[.,.]],.],.],[.,.]]]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [7,2,1,3,5,4,6] => [1,6,7,5,3,4,2] => [.,[[[[.,[.,.]],.],[.,.]],.]]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [7,2,1,3,6,4,5] => [1,6,7,5,2,4,3] => [.,[[[.,[.,.]],.],[[.,.],.]]]
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [7,2,1,3,6,5,4] => [1,6,7,5,2,3,4] => [.,[[[.,[.,.]],.],[.,[.,.]]]]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [7,2,1,4,3,5,6] => [1,6,7,4,5,3,2] => [.,[[[[.,[.,.]],[.,.]],.],.]]
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [7,2,1,4,3,6,5] => [1,6,7,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [7,2,1,5,3,4,6] => [1,6,7,3,5,4,2] => [.,[[[.,[.,.]],[[.,.],.]],.]]
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [7,2,1,5,4,3,6] => [1,6,7,3,4,5,2] => [.,[[[.,[.,.]],[.,[.,.]]],.]]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [7,2,1,6,3,4,5] => [1,6,7,2,5,4,3] => [.,[[.,[.,.]],[[[.,.],.],.]]]
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [7,2,1,6,3,5,4] => [1,6,7,2,5,3,4] => [.,[[.,[.,.]],[[.,.],[.,.]]]]
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [7,2,1,6,4,3,5] => [1,6,7,2,4,5,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]]
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [7,2,1,6,5,3,4] => [1,6,7,2,3,5,4] => [.,[[.,[.,.]],[.,[[.,.],.]]]]
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [7,2,1,6,5,4,3] => [1,6,7,2,3,4,5] => [.,[[.,[.,.]],[.,[.,[.,.]]]]]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [7,3,1,2,4,5,6] => [1,5,7,6,4,3,2] => [.,[[[[.,[[.,.],.]],.],.],.]]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [7,3,1,2,4,6,5] => [1,5,7,6,4,2,3] => [.,[[[.,[[.,.],.]],.],[.,.]]]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [7,3,1,2,5,4,6] => [1,5,7,6,3,4,2] => [.,[[[.,[[.,.],.]],[.,.]],.]]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [7,3,1,2,6,4,5] => [1,5,7,6,2,4,3] => [.,[[.,[[.,.],.]],[[.,.],.]]]
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [7,3,1,2,6,5,4] => [1,5,7,6,2,3,4] => [.,[[.,[[.,.],.]],[.,[.,.]]]]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [7,3,2,1,4,5,6] => [1,5,6,7,4,3,2] => [.,[[[[.,[.,[.,.]]],.],.],.]]
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [7,3,2,1,4,6,5] => [1,5,6,7,4,2,3] => [.,[[[.,[.,[.,.]]],.],[.,.]]]
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [7,3,2,1,5,4,6] => [1,5,6,7,3,4,2] => [.,[[[.,[.,[.,.]]],[.,.]],.]]
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [7,3,2,1,6,4,5] => [1,5,6,7,2,4,3] => [.,[[.,[.,[.,.]]],[[.,.],.]]]
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [7,3,2,1,6,5,4] => [1,5,6,7,2,3,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [7,4,1,2,3,5,6] => [1,4,7,6,5,3,2] => [.,[[[.,[[[.,.],.],.]],.],.]]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [7,4,1,2,3,6,5] => [1,4,7,6,5,2,3] => [.,[[.,[[[.,.],.],.]],[.,.]]]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [7,4,1,3,2,5,6] => [1,4,7,5,6,3,2] => [.,[[[.,[[.,.],[.,.]]],.],.]]
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [7,4,1,3,2,6,5] => [1,4,7,5,6,2,3] => [.,[[.,[[.,.],[.,.]]],[.,.]]]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [7,4,2,1,3,5,6] => [1,4,6,7,5,3,2] => [.,[[[.,[[.,[.,.]],.]],.],.]]
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [7,4,2,1,3,6,5] => [1,4,6,7,5,2,3] => [.,[[.,[[.,[.,.]],.]],[.,.]]]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [7,4,3,1,2,5,6] => [1,4,5,7,6,3,2] => [.,[[[.,[.,[[.,.],.]]],.],.]]
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [7,4,3,1,2,6,5] => [1,4,5,7,6,2,3] => [.,[[.,[.,[[.,.],.]]],[.,.]]]
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [7,4,3,2,1,5,6] => [1,4,5,6,7,3,2] => [.,[[[.,[.,[.,[.,.]]]],.],.]]
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [7,4,3,2,1,6,5] => [1,4,5,6,7,2,3] => [.,[[.,[.,[.,[.,.]]]],[.,.]]]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [7,5,1,2,3,4,6] => [1,3,7,6,5,4,2] => [.,[[.,[[[[.,.],.],.],.]],.]]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [7,5,1,2,4,3,6] => [1,3,7,6,4,5,2] => [.,[[.,[[[.,.],.],[.,.]]],.]]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [7,5,1,3,2,4,6] => [1,3,7,5,6,4,2] => [.,[[.,[[[.,.],[.,.]],.]],.]]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [7,5,1,4,2,3,6] => [1,3,7,4,6,5,2] => [.,[[.,[[.,.],[[.,.],.]]],.]]
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [7,5,1,4,3,2,6] => [1,3,7,4,5,6,2] => [.,[[.,[[.,.],[.,[.,.]]]],.]]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [7,5,2,1,3,4,6] => [1,3,6,7,5,4,2] => [.,[[.,[[[.,[.,.]],.],.]],.]]
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [7,5,2,1,4,3,6] => [1,3,6,7,4,5,2] => [.,[[.,[[.,[.,.]],[.,.]]],.]]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [7,5,3,1,2,4,6] => [1,3,5,7,6,4,2] => [.,[[.,[[.,[[.,.],.]],.]],.]]
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [7,5,3,2,1,4,6] => [1,3,5,6,7,4,2] => [.,[[.,[[.,[.,[.,.]]],.]],.]]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [7,5,4,1,2,3,6] => [1,3,4,7,6,5,2] => [.,[[.,[.,[[[.,.],.],.]]],.]]
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [7,5,4,1,3,2,6] => [1,3,4,7,5,6,2] => [.,[[.,[.,[[.,.],[.,.]]]],.]]
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [7,5,4,2,1,3,6] => [1,3,4,6,7,5,2] => [.,[[.,[.,[[.,[.,.]],.]]],.]]
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [7,5,4,3,1,2,6] => [1,3,4,5,7,6,2] => [.,[[.,[.,[.,[[.,.],.]]]],.]]
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [7,5,4,3,2,1,6] => [1,3,4,5,6,7,2] => [.,[[.,[.,[.,[.,[.,.]]]]],.]]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [7,6,1,2,3,4,5] => [1,2,7,6,5,4,3] => [.,[.,[[[[[.,.],.],.],.],.]]]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [7,6,1,2,3,5,4] => [1,2,7,6,5,3,4] => [.,[.,[[[[.,.],.],.],[.,.]]]]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [7,6,1,2,4,3,5] => [1,2,7,6,4,5,3] => [.,[.,[[[[.,.],.],[.,.]],.]]]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [7,6,1,2,5,3,4] => [1,2,7,6,3,5,4] => [.,[.,[[[.,.],.],[[.,.],.]]]]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [7,6,1,2,5,4,3] => [1,2,7,6,3,4,5] => [.,[.,[[[.,.],.],[.,[.,.]]]]]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [7,6,1,3,2,4,5] => [1,2,7,5,6,4,3] => [.,[.,[[[[.,.],[.,.]],.],.]]]
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [7,6,1,3,2,5,4] => [1,2,7,5,6,3,4] => [.,[.,[[[.,.],[.,.]],[.,.]]]]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [7,6,1,4,2,3,5] => [1,2,7,4,6,5,3] => [.,[.,[[[.,.],[[.,.],.]],.]]]
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [7,6,1,4,3,2,5] => [1,2,7,4,5,6,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [7,6,1,5,2,3,4] => [1,2,7,3,6,5,4] => [.,[.,[[.,.],[[[.,.],.],.]]]]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [7,6,1,5,2,4,3] => [1,2,7,3,6,4,5] => [.,[.,[[.,.],[[.,.],[.,.]]]]]
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [7,6,1,5,3,2,4] => [1,2,7,3,5,6,4] => [.,[.,[[.,.],[[.,[.,.]],.]]]]
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [7,6,1,5,4,2,3] => [1,2,7,3,4,6,5] => [.,[.,[[.,.],[.,[[.,.],.]]]]]
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [7,6,1,5,4,3,2] => [1,2,7,3,4,5,6] => [.,[.,[[.,.],[.,[.,[.,.]]]]]]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [7,6,2,1,3,4,5] => [1,2,6,7,5,4,3] => [.,[.,[[[[.,[.,.]],.],.],.]]]
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [7,6,2,1,3,5,4] => [1,2,6,7,5,3,4] => [.,[.,[[[.,[.,.]],.],[.,.]]]]
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [7,6,2,1,4,3,5] => [1,2,6,7,4,5,3] => [.,[.,[[[.,[.,.]],[.,.]],.]]]
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [7,6,2,1,5,3,4] => [1,2,6,7,3,5,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]]
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [7,6,2,1,5,4,3] => [1,2,6,7,3,4,5] => [.,[.,[[.,[.,.]],[.,[.,.]]]]]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [7,6,3,1,2,4,5] => [1,2,5,7,6,4,3] => [.,[.,[[[.,[[.,.],.]],.],.]]]
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [7,6,3,1,2,5,4] => [1,2,5,7,6,3,4] => [.,[.,[[.,[[.,.],.]],[.,.]]]]
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [7,6,3,2,1,4,5] => [1,2,5,6,7,4,3] => [.,[.,[[[.,[.,[.,.]]],.],.]]]
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [7,6,3,2,1,5,4] => [1,2,5,6,7,3,4] => [.,[.,[[.,[.,[.,.]]],[.,.]]]]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [7,6,4,1,2,3,5] => [1,2,4,7,6,5,3] => [.,[.,[[.,[[[.,.],.],.]],.]]]
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [7,6,4,1,3,2,5] => [1,2,4,7,5,6,3] => [.,[.,[[.,[[.,.],[.,.]]],.]]]
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [7,6,4,2,1,3,5] => [1,2,4,6,7,5,3] => [.,[.,[[.,[[.,[.,.]],.]],.]]]
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [7,6,4,3,1,2,5] => [1,2,4,5,7,6,3] => [.,[.,[[.,[.,[[.,.],.]]],.]]]
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [7,6,4,3,2,1,5] => [1,2,4,5,6,7,3] => [.,[.,[[.,[.,[.,[.,.]]]],.]]]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [7,6,5,1,2,3,4] => [1,2,3,7,6,5,4] => [.,[.,[.,[[[[.,.],.],.],.]]]]
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [7,6,5,1,2,4,3] => [1,2,3,7,6,4,5] => [.,[.,[.,[[[.,.],.],[.,.]]]]]
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [7,6,5,1,3,2,4] => [1,2,3,7,5,6,4] => [.,[.,[.,[[[.,.],[.,.]],.]]]]
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [7,6,5,1,4,2,3] => [1,2,3,7,4,6,5] => [.,[.,[.,[[.,.],[[.,.],.]]]]]
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [7,6,5,1,4,3,2] => [1,2,3,7,4,5,6] => [.,[.,[.,[[.,.],[.,[.,.]]]]]]
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [7,6,5,2,1,3,4] => [1,2,3,6,7,5,4] => [.,[.,[.,[[[.,[.,.]],.],.]]]]
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [7,6,5,2,1,4,3] => [1,2,3,6,7,4,5] => [.,[.,[.,[[.,[.,.]],[.,.]]]]]
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [7,6,5,3,1,2,4] => [1,2,3,5,7,6,4] => [.,[.,[.,[[.,[[.,.],.]],.]]]]
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [7,6,5,3,2,1,4] => [1,2,3,5,6,7,4] => [.,[.,[.,[[.,[.,[.,.]]],.]]]]
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [7,6,5,4,1,2,3] => [1,2,3,4,7,6,5] => [.,[.,[.,[.,[[[.,.],.],.]]]]]
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [7,6,5,4,1,3,2] => [1,2,3,4,7,5,6] => [.,[.,[.,[.,[[.,.],[.,.]]]]]]
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [7,6,5,4,2,1,3] => [1,2,3,4,6,7,5] => [.,[.,[.,[.,[[.,[.,.]],.]]]]]
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [7,6,5,4,3,1,2] => [1,2,3,4,5,7,6] => [.,[.,[.,[.,[.,[[.,.],.]]]]]]
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [[[[[[[.,.],.],.],.],.],.],[.,.]]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,8] => [8,7,6,5,4,2,3,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [1,2,3,4,5,8,6,7] => [8,7,6,5,4,1,3,2] => [[[[[[.,.],.],.],.],.],[[.,.],.]]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [[[[[[.,.],.],.],.],.],[.,[.,.]]]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [1,2,3,4,6,5,7,8] => [8,7,6,5,3,4,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [1,2,3,4,6,5,8,7] => [8,7,6,5,3,4,1,2] => [[[[[[.,.],.],.],.],[.,.]],[.,.]]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [1,2,3,4,7,5,6,8] => [8,7,6,5,2,4,3,1] => [[[[[[.,.],.],.],.],[[.,.],.]],.]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [1,2,3,4,8,5,6,7] => [8,7,6,5,1,4,3,2] => [[[[[.,.],.],.],.],[[[.,.],.],.]]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [1,2,3,4,8,5,7,6] => [8,7,6,5,1,4,2,3] => [[[[[.,.],.],.],.],[[.,.],[.,.]]]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [1,2,3,4,8,6,5,7] => [8,7,6,5,1,3,4,2] => [[[[[.,.],.],.],.],[[.,[.,.]],.]]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [1,2,3,4,8,7,5,6] => [8,7,6,5,1,2,4,3] => [[[[[.,.],.],.],.],[.,[[.,.],.]]]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => [[[[[[[.,.],.],.],[.,.]],.],.],.]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [1,2,3,5,4,6,8,7] => [8,7,6,4,5,3,1,2] => [[[[[[.,.],.],.],[.,.]],.],[.,.]]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [1,2,3,5,4,7,6,8] => [8,7,6,4,5,2,3,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [7,6,8,4,5,3,2,1] => [1,2,3,5,4,8,6,7] => [8,7,6,4,5,1,3,2] => [[[[[.,.],.],.],[.,.]],[[.,.],.]]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [6,7,8,4,5,3,2,1] => [1,2,3,5,4,8,7,6] => [8,7,6,4,5,1,2,3] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [8,7,5,4,6,3,2,1] => [1,2,3,6,4,5,7,8] => [8,7,6,3,5,4,2,1] => [[[[[[.,.],.],.],[[.,.],.]],.],.]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [7,8,5,4,6,3,2,1] => [1,2,3,6,4,5,8,7] => [8,7,6,3,5,4,1,2] => [[[[[.,.],.],.],[[.,.],.]],[.,.]]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [1,2,3,6,5,4,7,8] => [8,7,6,3,4,5,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [7,8,4,5,6,3,2,1] => [1,2,3,6,5,4,8,7] => [8,7,6,3,4,5,1,2] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [1,2,3,7,4,5,6,8] => [8,7,6,2,5,4,3,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [8,5,6,4,7,3,2,1] => [1,2,3,7,4,6,5,8] => [8,7,6,2,5,3,4,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [1,2,3,7,6,5,4,8] => [8,7,6,2,3,4,5,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [1,2,3,8,4,5,6,7] => [8,7,6,1,5,4,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [1,2,3,8,4,5,7,6] => [8,7,6,1,5,4,2,3] => [[[[.,.],.],.],[[[.,.],.],[.,.]]]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [1,2,3,8,4,6,5,7] => [8,7,6,1,5,3,4,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [1,2,3,8,4,7,5,6] => [8,7,6,1,5,2,4,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [1,2,3,8,4,7,6,5] => [8,7,6,1,5,2,3,4] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [7,6,4,5,8,3,2,1] => [1,2,3,8,5,4,6,7] => [8,7,6,1,4,5,3,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [6,7,4,5,8,3,2,1] => [1,2,3,8,5,4,7,6] => [8,7,6,1,4,5,2,3] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [7,5,4,6,8,3,2,1] => [1,2,3,8,6,4,5,7] => [8,7,6,1,3,5,4,2] => [[[[.,.],.],.],[[.,[[.,.],.]],.]]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [1,2,3,8,6,5,4,7] => [8,7,6,1,3,4,5,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [1,2,3,8,7,4,5,6] => [8,7,6,1,2,5,4,3] => [[[[.,.],.],.],[.,[[[.,.],.],.]]]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [1,2,3,8,7,4,6,5] => [8,7,6,1,2,5,3,4] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [1,2,3,8,7,5,4,6] => [8,7,6,1,2,4,5,3] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [1,2,3,8,7,6,4,5] => [8,7,6,1,2,3,5,4] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [1,2,4,3,5,6,7,8] => [8,7,5,6,4,3,2,1] => [[[[[[[.,.],.],[.,.]],.],.],.],.]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [1,2,4,3,5,6,8,7] => [8,7,5,6,4,3,1,2] => [[[[[[.,.],.],[.,.]],.],.],[.,.]]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [1,2,4,3,5,7,6,8] => [8,7,5,6,4,2,3,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [1,2,4,3,5,8,6,7] => [8,7,5,6,4,1,3,2] => [[[[[.,.],.],[.,.]],.],[[.,.],.]]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [1,2,4,3,6,5,7,8] => [8,7,5,6,3,4,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [1,2,4,3,6,5,8,7] => [8,7,5,6,3,4,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [8,5,6,7,3,4,2,1] => [1,2,4,3,7,6,5,8] => [8,7,5,6,2,3,4,1] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [7,6,5,8,3,4,2,1] => [1,2,4,3,8,5,6,7] => [8,7,5,6,1,4,3,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [6,7,5,8,3,4,2,1] => [1,2,4,3,8,5,7,6] => [8,7,5,6,1,4,2,3] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [7,5,6,8,3,4,2,1] => [1,2,4,3,8,6,5,7] => [8,7,5,6,1,3,4,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [1,2,4,3,8,7,5,6] => [8,7,5,6,1,2,4,3] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [1,2,4,3,8,7,6,5] => [8,7,5,6,1,2,3,4] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [8,7,6,4,3,5,2,1] => [1,2,5,3,4,6,7,8] => [8,7,4,6,5,3,2,1] => [[[[[[.,.],.],[[.,.],.]],.],.],.]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [7,8,6,4,3,5,2,1] => [1,2,5,3,4,6,8,7] => [8,7,4,6,5,3,1,2] => [[[[[.,.],.],[[.,.],.]],.],[.,.]]
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [1,2,5,3,4,7,6,8] => [8,7,4,6,5,2,3,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [7,6,8,4,3,5,2,1] => [1,2,5,3,4,8,6,7] => [8,7,4,6,5,1,3,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [1,2,5,4,3,6,7,8] => [8,7,4,5,6,3,2,1] => [[[[[[.,.],.],[.,[.,.]]],.],.],.]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [8,6,7,3,4,5,2,1] => [1,2,5,4,3,7,6,8] => [8,7,4,5,6,2,3,1] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [7,6,8,3,4,5,2,1] => [1,2,5,4,3,8,6,7] => [8,7,4,5,6,1,3,2] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [1,2,5,4,3,8,7,6] => [8,7,4,5,6,1,2,3] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [1,2,6,3,4,5,7,8] => [8,7,3,6,5,4,2,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.]
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [8,7,4,5,3,6,2,1] => [1,2,6,3,5,4,7,8] => [8,7,3,6,4,5,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.]
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [8,7,5,3,4,6,2,1] => [1,2,6,4,3,5,7,8] => [8,7,3,5,6,4,2,1] => [[[[[.,.],.],[[.,[.,.]],.]],.],.]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [1,2,6,5,3,4,7,8] => [8,7,3,4,6,5,2,1] => [[[[[.,.],.],[.,[[.,.],.]]],.],.]
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [7,8,4,3,5,6,2,1] => [1,2,6,5,3,4,8,7] => [8,7,3,4,6,5,1,2] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [7,8,3,4,5,6,2,1] => [1,2,6,5,4,3,8,7] => [8,7,3,4,5,6,1,2] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [8,6,4,5,3,7,2,1] => [1,2,7,3,5,4,6,8] => [8,7,2,6,4,5,3,1] => [[[[.,.],.],[[[.,.],[.,.]],.]],.]
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [8,5,4,6,3,7,2,1] => [1,2,7,3,6,4,5,8] => [8,7,2,6,3,5,4,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.]
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [8,6,5,3,4,7,2,1] => [1,2,7,4,3,5,6,8] => [8,7,2,5,6,4,3,1] => [[[[.,.],.],[[[.,[.,.]],.],.]],.]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [1,2,7,5,3,4,6,8] => [8,7,2,4,6,5,3,1] => [[[[.,.],.],[[.,[[.,.],.]],.]],.]
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [8,6,3,4,5,7,2,1] => [1,2,7,5,4,3,6,8] => [8,7,2,4,5,6,3,1] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [1,2,7,6,3,4,5,8] => [8,7,2,3,6,5,4,1] => [[[[.,.],.],[.,[[[.,.],.],.]]],.]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [1,2,7,6,5,4,3,8] => [8,7,2,3,4,5,6,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [1,2,8,3,4,5,6,7] => [8,7,1,6,5,4,3,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [1,2,8,3,4,7,5,6] => [8,7,1,6,5,2,4,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [1,2,8,3,4,7,6,5] => [8,7,1,6,5,2,3,4] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [7,6,4,5,3,8,2,1] => [1,2,8,3,5,4,6,7] => [8,7,1,6,4,5,3,2] => [[[.,.],.],[[[[.,.],[.,.]],.],.]]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [6,7,4,5,3,8,2,1] => [1,2,8,3,5,4,7,6] => [8,7,1,6,4,5,2,3] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [1,2,8,3,6,4,5,7] => [8,7,1,6,3,5,4,2] => [[[.,.],.],[[[.,.],[[.,.],.]],.]]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [1,2,8,3,7,4,5,6] => [8,7,1,6,2,5,4,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]]
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [5,6,4,7,3,8,2,1] => [1,2,8,3,7,4,6,5] => [8,7,1,6,2,5,3,4] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [1,2,8,3,7,5,4,6] => [8,7,1,6,2,4,5,3] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [1,2,8,3,7,6,4,5] => [8,7,1,6,2,3,5,4] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [1,2,8,3,7,6,5,4] => [8,7,1,6,2,3,4,5] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [7,6,5,3,4,8,2,1] => [1,2,8,4,3,5,6,7] => [8,7,1,5,6,4,3,2] => [[[.,.],.],[[[[.,[.,.]],.],.],.]]
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [6,5,7,3,4,8,2,1] => [1,2,8,4,3,7,5,6] => [8,7,1,5,6,2,4,3] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [5,6,7,3,4,8,2,1] => [1,2,8,4,3,7,6,5] => [8,7,1,5,6,2,3,4] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [7,6,4,3,5,8,2,1] => [1,2,8,5,3,4,6,7] => [8,7,1,4,6,5,3,2] => [[[.,.],.],[[[.,[[.,.],.]],.],.]]
[.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [6,7,4,3,5,8,2,1] => [1,2,8,5,3,4,7,6] => [8,7,1,4,6,5,2,3] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [7,6,3,4,5,8,2,1] => [1,2,8,5,4,3,6,7] => [8,7,1,4,5,6,3,2] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [7,5,4,3,6,8,2,1] => [1,2,8,6,3,4,5,7] => [8,7,1,3,6,5,4,2] => [[[.,.],.],[[.,[[[.,.],.],.]],.]]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [1,2,8,6,5,4,3,7] => [8,7,1,3,4,5,6,2] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [1,2,8,7,3,4,5,6] => [8,7,1,2,6,5,4,3] => [[[.,.],.],[.,[[[[.,.],.],.],.]]]
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [5,6,4,3,7,8,2,1] => [1,2,8,7,3,4,6,5] => [8,7,1,2,6,5,3,4] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [1,2,8,7,3,6,5,4] => [8,7,1,2,6,3,4,5] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [6,4,3,5,7,8,2,1] => [1,2,8,7,5,3,4,6] => [8,7,1,2,4,6,5,3] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [1,2,8,7,5,4,3,6] => [8,7,1,2,4,5,6,3] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [1,2,8,7,6,3,4,5] => [8,7,1,2,3,6,5,4] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [4,5,3,6,7,8,2,1] => [1,2,8,7,6,3,5,4] => [8,7,1,2,3,6,4,5] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [1,2,8,7,6,5,3,4] => [8,7,1,2,3,4,6,5] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,8] => [8,6,7,5,4,3,2,1] => [[[[[[[.,.],[.,.]],.],.],.],.],.]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [1,3,2,4,5,6,8,7] => [8,6,7,5,4,3,1,2] => [[[[[[.,.],[.,.]],.],.],.],[.,.]]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [1,3,2,4,5,7,6,8] => [8,6,7,5,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [1,3,2,4,5,8,6,7] => [8,6,7,5,4,1,3,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [1,3,2,4,6,5,7,8] => [8,6,7,5,3,4,2,1] => [[[[[[.,.],[.,.]],.],[.,.]],.],.]
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,2,3,1] => [1,3,2,4,7,5,6,8] => [8,6,7,5,2,4,3,1] => [[[[[.,.],[.,.]],.],[[.,.],.]],.]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,2,3,1] => [1,3,2,4,7,6,5,8] => [8,6,7,5,2,3,4,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,2,3,1] => [1,3,2,4,8,5,6,7] => [8,6,7,5,1,4,3,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [1,3,2,4,8,5,7,6] => [8,6,7,5,1,4,2,3] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [1,3,2,4,8,7,6,5] => [8,6,7,5,1,2,3,4] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [1,3,2,5,4,6,7,8] => [8,6,7,4,5,3,2,1] => [[[[[[.,.],[.,.]],[.,.]],.],.],.]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,2,3,1] => [1,3,2,5,4,6,8,7] => [8,6,7,4,5,3,1,2] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [1,3,2,5,4,7,6,8] => [8,6,7,4,5,2,3,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,2,3,1] => [1,3,2,5,4,8,6,7] => [8,6,7,4,5,1,3,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,2,3,1] => [1,3,2,5,4,8,7,6] => [8,6,7,4,5,1,2,3] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [1,3,2,6,4,5,7,8] => [8,6,7,3,5,4,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.]
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,2,3,1] => [1,3,2,6,5,4,7,8] => [8,6,7,3,4,5,2,1] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [1,3,2,6,5,4,8,7] => [8,6,7,3,4,5,1,2] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [8,6,5,4,7,2,3,1] => [1,3,2,7,4,5,6,8] => [8,6,7,2,5,4,3,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [1,3,2,7,4,6,5,8] => [8,6,7,2,5,3,4,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [8,5,4,6,7,2,3,1] => [1,3,2,7,6,4,5,8] => [8,6,7,2,3,5,4,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [8,4,5,6,7,2,3,1] => [1,3,2,7,6,5,4,8] => [8,6,7,2,3,4,5,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,2,3,1] => [1,3,2,8,4,5,6,7] => [8,6,7,1,5,4,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [1,3,2,8,4,6,5,7] => [8,6,7,1,5,3,4,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [1,3,2,8,4,7,5,6] => [8,6,7,1,5,2,4,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [5,6,7,4,8,2,3,1] => [1,3,2,8,4,7,6,5] => [8,6,7,1,5,2,3,4] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,2,3,1] => [1,3,2,8,5,4,6,7] => [8,6,7,1,4,5,3,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [7,4,5,6,8,2,3,1] => [1,3,2,8,6,5,4,7] => [8,6,7,1,3,4,5,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,2,3,1] => [1,3,2,8,7,4,6,5] => [8,6,7,1,2,5,3,4] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [1,4,2,3,5,6,7,8] => [8,5,7,6,4,3,2,1] => [[[[[[.,.],[[.,.],.]],.],.],.],.]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,2,4,1] => [1,4,2,3,5,6,8,7] => [8,5,7,6,4,3,1,2] => [[[[[.,.],[[.,.],.]],.],.],[.,.]]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,2,4,1] => [1,4,2,3,5,7,6,8] => [8,5,7,6,4,2,3,1] => [[[[[.,.],[[.,.],.]],.],[.,.]],.]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [1,4,2,3,5,8,6,7] => [8,5,7,6,4,1,3,2] => [[[[.,.],[[.,.],.]],.],[[.,.],.]]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [1,4,2,3,5,8,7,6] => [8,5,7,6,4,1,2,3] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,2,4,1] => [1,4,2,3,6,5,8,7] => [8,5,7,6,3,4,1,2] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [1,4,2,3,7,5,6,8] => [8,5,7,6,2,4,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,2,4,1] => [1,4,2,3,7,6,5,8] => [8,5,7,6,2,3,4,1] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [1,4,2,3,8,5,6,7] => [8,5,7,6,1,4,3,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [1,4,2,3,8,5,7,6] => [8,5,7,6,1,4,2,3] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,2,4,1] => [1,4,2,3,8,7,5,6] => [8,5,7,6,1,2,4,3] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [1,4,2,3,8,7,6,5] => [8,5,7,6,1,2,3,4] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [1,4,3,2,5,6,7,8] => [8,5,6,7,4,3,2,1] => [[[[[[.,.],[.,[.,.]]],.],.],.],.]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,2,3,4,1] => [1,4,3,2,5,7,6,8] => [8,5,6,7,4,2,3,1] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,2,3,4,1] => [1,4,3,2,5,8,6,7] => [8,5,6,7,4,1,3,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,2,3,4,1] => [1,4,3,2,6,5,7,8] => [8,5,6,7,3,4,2,1] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [7,8,5,6,2,3,4,1] => [1,4,3,2,6,5,8,7] => [8,5,6,7,3,4,1,2] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,2,3,4,1] => [1,4,3,2,7,5,6,8] => [8,5,6,7,2,4,3,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,2,3,4,1] => [1,4,3,2,8,5,6,7] => [8,5,6,7,1,4,3,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [6,7,5,8,2,3,4,1] => [1,4,3,2,8,5,7,6] => [8,5,6,7,1,4,2,3] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [8,7,6,4,3,2,5,1] => [1,5,2,3,4,6,7,8] => [8,4,7,6,5,3,2,1] => [[[[[.,.],[[[.,.],.],.]],.],.],.]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [7,8,6,4,3,2,5,1] => [1,5,2,3,4,6,8,7] => [8,4,7,6,5,3,1,2] => [[[[.,.],[[[.,.],.],.]],.],[.,.]]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [8,6,7,4,3,2,5,1] => [1,5,2,3,4,7,6,8] => [8,4,7,6,5,2,3,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.]
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [1,5,2,3,4,8,6,7] => [8,4,7,6,5,1,3,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [6,7,8,4,3,2,5,1] => [1,5,2,3,4,8,7,6] => [8,4,7,6,5,1,2,3] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [1,5,2,4,3,6,7,8] => [8,4,7,5,6,3,2,1] => [[[[[.,.],[[.,.],[.,.]]],.],.],.]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [1,5,2,4,3,7,6,8] => [8,4,7,5,6,2,3,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [1,5,2,4,3,8,6,7] => [8,4,7,5,6,1,3,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,2,3,5,1] => [1,5,3,2,4,6,7,8] => [8,4,6,7,5,3,2,1] => [[[[[.,.],[[.,[.,.]],.]],.],.],.]
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,2,3,5,1] => [1,5,3,2,4,6,8,7] => [8,4,6,7,5,3,1,2] => [[[[.,.],[[.,[.,.]],.]],.],[.,.]]
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,2,3,5,1] => [1,5,3,2,4,8,6,7] => [8,4,6,7,5,1,3,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [1,5,3,2,4,8,7,6] => [8,4,6,7,5,1,2,3] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [1,5,4,2,3,6,7,8] => [8,4,5,7,6,3,2,1] => [[[[[.,.],[.,[[.,.],.]]],.],.],.]
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [8,6,7,3,2,4,5,1] => [1,5,4,2,3,7,6,8] => [8,4,5,7,6,2,3,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [7,6,8,3,2,4,5,1] => [1,5,4,2,3,8,6,7] => [8,4,5,7,6,1,3,2] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [8,7,6,2,3,4,5,1] => [1,5,4,3,2,6,7,8] => [8,4,5,6,7,3,2,1] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [1,5,4,3,2,7,6,8] => [8,4,5,6,7,2,3,1] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [1,5,4,3,2,8,7,6] => [8,4,5,6,7,1,2,3] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [1,6,2,3,4,5,7,8] => [8,3,7,6,5,4,2,1] => [[[[.,.],[[[[.,.],.],.],.]],.],.]
[.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [7,8,4,5,3,2,6,1] => [1,6,2,3,5,4,8,7] => [8,3,7,6,4,5,1,2] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [1,6,2,4,3,5,7,8] => [8,3,7,5,6,4,2,1] => [[[[.,.],[[[.,.],[.,.]],.]],.],.]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [1,6,2,5,3,4,7,8] => [8,3,7,4,6,5,2,1] => [[[[.,.],[[.,.],[[.,.],.]]],.],.]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [7,8,4,3,5,2,6,1] => [1,6,2,5,3,4,8,7] => [8,3,7,4,6,5,1,2] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [8,7,3,4,5,2,6,1] => [1,6,2,5,4,3,7,8] => [8,3,7,4,5,6,2,1] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [7,8,3,4,5,2,6,1] => [1,6,2,5,4,3,8,7] => [8,3,7,4,5,6,1,2] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [8,7,5,3,2,4,6,1] => [1,6,4,2,3,5,7,8] => [8,3,5,7,6,4,2,1] => [[[[.,.],[[.,[[.,.],.]],.]],.],.]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [7,8,5,2,3,4,6,1] => [1,6,4,3,2,5,8,7] => [8,3,5,6,7,4,1,2] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [8,7,4,3,2,5,6,1] => [1,6,5,2,3,4,7,8] => [8,3,4,7,6,5,2,1] => [[[[.,.],[.,[[[.,.],.],.]]],.],.]
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [7,8,4,2,3,5,6,1] => [1,6,5,3,2,4,8,7] => [8,3,4,6,7,5,1,2] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]]
[.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [8,7,3,2,4,5,6,1] => [1,6,5,4,2,3,7,8] => [8,3,4,5,7,6,2,1] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [1,6,5,4,2,3,8,7] => [8,3,4,5,7,6,1,2] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [1,6,5,4,3,2,7,8] => [8,3,4,5,6,7,2,1] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [1,6,5,4,3,2,8,7] => [8,3,4,5,6,7,1,2] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [1,7,2,3,4,5,6,8] => [8,2,7,6,5,4,3,1] => [[[.,.],[[[[[.,.],.],.],.],.]],.]
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [8,5,6,4,3,2,7,1] => [1,7,2,3,4,6,5,8] => [8,2,7,6,5,3,4,1] => [[[.,.],[[[[.,.],.],.],[.,.]]],.]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [8,6,4,5,3,2,7,1] => [1,7,2,3,5,4,6,8] => [8,2,7,6,4,5,3,1] => [[[.,.],[[[[.,.],.],[.,.]],.]],.]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [1,7,2,3,6,4,5,8] => [8,2,7,6,3,5,4,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.]
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [8,4,5,6,3,2,7,1] => [1,7,2,3,6,5,4,8] => [8,2,7,6,3,4,5,1] => [[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [8,6,5,3,4,2,7,1] => [1,7,2,4,3,5,6,8] => [8,2,7,5,6,4,3,1] => [[[.,.],[[[[.,.],[.,.]],.],.]],.]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [1,7,2,4,3,6,5,8] => [8,2,7,5,6,3,4,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [1,7,2,5,3,4,6,8] => [8,2,7,4,6,5,3,1] => [[[.,.],[[[.,.],[[.,.],.]],.]],.]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [8,6,3,4,5,2,7,1] => [1,7,2,5,4,3,6,8] => [8,2,7,4,5,6,3,1] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [1,7,2,6,3,4,5,8] => [8,2,7,3,6,5,4,1] => [[[.,.],[[.,.],[[[.,.],.],.]]],.]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [1,7,2,6,3,5,4,8] => [8,2,7,3,6,4,5,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [8,4,3,5,6,2,7,1] => [1,7,2,6,5,3,4,8] => [8,2,7,3,4,6,5,1] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [1,7,2,6,5,4,3,8] => [8,2,7,3,4,5,6,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,2,3,7,1] => [1,7,3,2,4,5,6,8] => [8,2,6,7,5,4,3,1] => [[[.,.],[[[[.,[.,.]],.],.],.]],.]
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [8,5,6,4,2,3,7,1] => [1,7,3,2,4,6,5,8] => [8,2,6,7,5,3,4,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [8,6,5,3,2,4,7,1] => [1,7,4,2,3,5,6,8] => [8,2,5,7,6,4,3,1] => [[[.,.],[[[.,[[.,.],.]],.],.]],.]
[.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [8,6,5,2,3,4,7,1] => [1,7,4,3,2,5,6,8] => [8,2,5,6,7,4,3,1] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [8,6,4,3,2,5,7,1] => [1,7,5,2,3,4,6,8] => [8,2,4,7,6,5,3,1] => [[[.,.],[[.,[[[.,.],.],.]],.]],.]
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [8,6,3,4,2,5,7,1] => [1,7,5,2,4,3,6,8] => [8,2,4,7,5,6,3,1] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [1,7,5,3,2,4,6,8] => [8,2,4,6,7,5,3,1] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [8,6,3,2,4,5,7,1] => [1,7,5,4,2,3,6,8] => [8,2,4,5,7,6,3,1] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [1,7,5,4,3,2,6,8] => [8,2,4,5,6,7,3,1] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [1,7,6,2,3,4,5,8] => [8,2,3,7,6,5,4,1] => [[[.,.],[.,[[[[.,.],.],.],.]]],.]
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [8,4,5,3,2,6,7,1] => [1,7,6,2,3,5,4,8] => [8,2,3,7,6,4,5,1] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [1,7,6,2,4,3,5,8] => [8,2,3,7,5,6,4,1] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.]
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [1,7,6,2,5,4,3,8] => [8,2,3,7,4,5,6,1] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [8,4,5,2,3,6,7,1] => [1,7,6,3,2,5,4,8] => [8,2,3,6,7,4,5,1] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [8,5,3,2,4,6,7,1] => [1,7,6,4,2,3,5,8] => [8,2,3,5,7,6,4,1] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.]
[.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [8,5,2,3,4,6,7,1] => [1,7,6,4,3,2,5,8] => [8,2,3,5,6,7,4,1] => [[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [8,4,3,2,5,6,7,1] => [1,7,6,5,2,3,4,8] => [8,2,3,4,7,6,5,1] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [1,7,6,5,4,2,3,8] => [8,2,3,4,5,7,6,1] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [1,8,2,3,4,5,6,7] => [8,1,7,6,5,4,3,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [1,8,2,3,4,5,7,6] => [8,1,7,6,5,4,2,3] => [[.,.],[[[[[.,.],.],.],.],[.,.]]]
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [7,5,6,4,3,2,8,1] => [1,8,2,3,4,6,5,7] => [8,1,7,6,5,3,4,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [1,8,2,3,4,7,5,6] => [8,1,7,6,5,2,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]]
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [1,8,2,3,4,7,6,5] => [8,1,7,6,5,2,3,4] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [1,8,2,3,5,4,6,7] => [8,1,7,6,4,5,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [6,7,4,5,3,2,8,1] => [1,8,2,3,5,4,7,6] => [8,1,7,6,4,5,2,3] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [7,5,4,6,3,2,8,1] => [1,8,2,3,6,4,5,7] => [8,1,7,6,3,5,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [7,4,5,6,3,2,8,1] => [1,8,2,3,6,5,4,7] => [8,1,7,6,3,4,5,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [1,8,2,3,7,4,5,6] => [8,1,7,6,2,5,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [6,4,5,7,3,2,8,1] => [1,8,2,3,7,5,4,6] => [8,1,7,6,2,4,5,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [1,8,2,3,7,6,5,4] => [8,1,7,6,2,3,4,5] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [7,6,5,3,4,2,8,1] => [1,8,2,4,3,5,6,7] => [8,1,7,5,6,4,3,2] => [[.,.],[[[[[.,.],[.,.]],.],.],.]]
[.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [6,7,5,3,4,2,8,1] => [1,8,2,4,3,5,7,6] => [8,1,7,5,6,4,2,3] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [1,8,2,4,3,6,5,7] => [8,1,7,5,6,3,4,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [1,8,2,4,3,7,5,6] => [8,1,7,5,6,2,4,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [5,6,7,3,4,2,8,1] => [1,8,2,4,3,7,6,5] => [8,1,7,5,6,2,3,4] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [7,6,4,3,5,2,8,1] => [1,8,2,5,3,4,6,7] => [8,1,7,4,6,5,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]]
[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [6,7,3,4,5,2,8,1] => [1,8,2,5,4,3,7,6] => [8,1,7,4,5,6,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [1,8,2,6,3,4,5,7] => [8,1,7,3,6,5,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [1,8,2,6,3,5,4,7] => [8,1,7,3,6,4,5,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [7,5,3,4,6,2,8,1] => [1,8,2,6,4,3,5,7] => [8,1,7,3,5,6,4,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [7,3,4,5,6,2,8,1] => [1,8,2,6,5,4,3,7] => [8,1,7,3,4,5,6,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [1,8,2,7,3,4,5,6] => [8,1,7,2,6,5,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [1,8,2,7,3,5,4,6] => [8,1,7,2,6,4,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [1,8,2,7,3,6,4,5] => [8,1,7,2,6,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [1,8,2,7,3,6,5,4] => [8,1,7,2,6,3,4,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [1,8,2,7,4,3,5,6] => [8,1,7,2,5,6,4,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [1,8,2,7,4,3,6,5] => [8,1,7,2,5,6,3,4] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [1,8,2,7,5,3,4,6] => [8,1,7,2,4,6,5,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [6,3,4,5,7,2,8,1] => [1,8,2,7,5,4,3,6] => [8,1,7,2,4,5,6,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [1,8,2,7,6,3,4,5] => [8,1,7,2,3,6,5,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [1,8,2,7,6,3,5,4] => [8,1,7,2,3,6,4,5] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [5,3,4,6,7,2,8,1] => [1,8,2,7,6,4,3,5] => [8,1,7,2,3,5,6,4] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [1,8,2,7,6,5,4,3] => [8,1,7,2,3,4,5,6] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [1,8,3,2,4,5,6,7] => [8,1,6,7,5,4,3,2] => [[.,.],[[[[[.,[.,.]],.],.],.],.]]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [1,8,3,2,4,5,7,6] => [8,1,6,7,5,4,2,3] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,2,3,8,1] => [1,8,3,2,4,6,5,7] => [8,1,6,7,5,3,4,2] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,2,3,8,1] => [1,8,3,2,4,7,5,6] => [8,1,6,7,5,2,4,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [5,6,7,4,2,3,8,1] => [1,8,3,2,4,7,6,5] => [8,1,6,7,5,2,3,4] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,2,3,8,1] => [1,8,3,2,5,4,6,7] => [8,1,6,7,4,5,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [1,8,3,2,5,4,7,6] => [8,1,6,7,4,5,2,3] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,2,3,8,1] => [1,8,3,2,6,4,5,7] => [8,1,6,7,3,5,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,2,3,8,1] => [1,8,3,2,7,4,5,6] => [8,1,6,7,2,5,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [5,6,4,7,2,3,8,1] => [1,8,3,2,7,4,6,5] => [8,1,6,7,2,5,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [1,8,3,2,7,5,4,6] => [8,1,6,7,2,4,5,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [1,8,3,2,7,6,4,5] => [8,1,6,7,2,3,5,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [1,8,3,2,7,6,5,4] => [8,1,6,7,2,3,4,5] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [6,5,7,3,2,4,8,1] => [1,8,4,2,3,7,5,6] => [8,1,5,7,6,2,4,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [5,6,7,3,2,4,8,1] => [1,8,4,2,3,7,6,5] => [8,1,5,7,6,2,3,4] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [1,8,4,3,2,5,6,7] => [8,1,5,6,7,4,3,2] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]]
[.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [6,7,5,2,3,4,8,1] => [1,8,4,3,2,5,7,6] => [8,1,5,6,7,4,2,3] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [7,5,6,2,3,4,8,1] => [1,8,4,3,2,6,5,7] => [8,1,5,6,7,3,4,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]]
[.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [6,5,7,2,3,4,8,1] => [1,8,4,3,2,7,5,6] => [8,1,5,6,7,2,4,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [1,8,4,3,2,7,6,5] => [8,1,5,6,7,2,3,4] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [7,6,4,3,2,5,8,1] => [1,8,5,2,3,4,6,7] => [8,1,4,7,6,5,3,2] => [[.,.],[[[.,[[[.,.],.],.]],.],.]]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [1,8,5,2,3,4,7,6] => [8,1,4,7,6,5,2,3] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [6,7,4,2,3,5,8,1] => [1,8,5,3,2,4,7,6] => [8,1,4,6,7,5,2,3] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [1,8,5,4,2,3,6,7] => [8,1,4,5,7,6,3,2] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]]
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [1,8,5,4,2,3,7,6] => [8,1,4,5,7,6,2,3] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [7,6,2,3,4,5,8,1] => [1,8,5,4,3,2,6,7] => [8,1,4,5,6,7,3,2] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]]
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [1,8,5,4,3,2,7,6] => [8,1,4,5,6,7,2,3] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [7,5,4,3,2,6,8,1] => [1,8,6,2,3,4,5,7] => [8,1,3,7,6,5,4,2] => [[.,.],[[.,[[[[.,.],.],.],.]],.]]
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [7,4,5,3,2,6,8,1] => [1,8,6,2,3,5,4,7] => [8,1,3,7,6,4,5,2] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]]
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [7,5,3,4,2,6,8,1] => [1,8,6,2,4,3,5,7] => [8,1,3,7,5,6,4,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [7,4,3,5,2,6,8,1] => [1,8,6,2,5,3,4,7] => [8,1,3,7,4,6,5,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [7,3,4,5,2,6,8,1] => [1,8,6,2,5,4,3,7] => [8,1,3,7,4,5,6,2] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [1,8,6,3,2,4,5,7] => [8,1,3,6,7,5,4,2] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]]
[.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [1,8,6,3,2,5,4,7] => [8,1,3,6,7,4,5,2] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [1,8,6,4,2,3,5,7] => [8,1,3,5,7,6,4,2] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [7,5,2,3,4,6,8,1] => [1,8,6,4,3,2,5,7] => [8,1,3,5,6,7,4,2] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [1,8,6,5,4,2,3,7] => [8,1,3,4,5,7,6,2] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]]
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [1,8,7,2,3,4,5,6] => [8,1,2,7,6,5,4,3] => [[.,.],[.,[[[[[.,.],.],.],.],.]]]
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [6,4,5,3,2,7,8,1] => [1,8,7,2,3,5,4,6] => [8,1,2,7,6,4,5,3] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [1,8,7,2,3,6,4,5] => [8,1,2,7,6,3,5,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [1,8,7,2,3,6,5,4] => [8,1,2,7,6,3,4,5] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [5,6,3,4,2,7,8,1] => [1,8,7,2,4,3,6,5] => [8,1,2,7,5,6,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [6,4,3,5,2,7,8,1] => [1,8,7,2,5,3,4,6] => [8,1,2,7,4,6,5,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [1,8,7,2,5,4,3,6] => [8,1,2,7,4,5,6,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [1,8,7,2,6,3,4,5] => [8,1,2,7,3,6,5,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]]
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [4,5,3,6,2,7,8,1] => [1,8,7,2,6,3,5,4] => [8,1,2,7,3,6,4,5] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [5,3,4,6,2,7,8,1] => [1,8,7,2,6,4,3,5] => [8,1,2,7,3,5,6,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [1,8,7,2,6,5,3,4] => [8,1,2,7,3,4,6,5] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [1,8,7,2,6,5,4,3] => [8,1,2,7,3,4,5,6] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [6,5,4,2,3,7,8,1] => [1,8,7,3,2,4,5,6] => [8,1,2,6,7,5,4,3] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [5,6,4,2,3,7,8,1] => [1,8,7,3,2,4,6,5] => [8,1,2,6,7,5,3,4] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [6,4,5,2,3,7,8,1] => [1,8,7,3,2,5,4,6] => [8,1,2,6,7,4,5,3] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [5,4,6,2,3,7,8,1] => [1,8,7,3,2,6,4,5] => [8,1,2,6,7,3,5,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [6,5,2,3,4,7,8,1] => [1,8,7,4,3,2,5,6] => [8,1,2,5,6,7,4,3] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]]
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [5,6,2,3,4,7,8,1] => [1,8,7,4,3,2,6,5] => [8,1,2,5,6,7,3,4] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [6,4,3,2,5,7,8,1] => [1,8,7,5,2,3,4,6] => [8,1,2,4,7,6,5,3] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]]
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [6,3,4,2,5,7,8,1] => [1,8,7,5,2,4,3,6] => [8,1,2,4,7,5,6,3] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [6,4,2,3,5,7,8,1] => [1,8,7,5,3,2,4,6] => [8,1,2,4,6,7,5,3] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]]
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [1,8,7,5,4,3,2,6] => [8,1,2,4,5,6,7,3] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [1,8,7,6,2,3,4,5] => [8,1,2,3,7,6,5,4] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [1,8,7,6,2,4,3,5] => [8,1,2,3,7,5,6,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [1,8,7,6,2,5,4,3] => [8,1,2,3,7,4,5,6] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [5,4,2,3,6,7,8,1] => [1,8,7,6,3,2,4,5] => [8,1,2,3,6,7,5,4] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]]
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [4,5,2,3,6,7,8,1] => [1,8,7,6,3,2,5,4] => [8,1,2,3,6,7,4,5] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [5,3,2,4,6,7,8,1] => [1,8,7,6,4,2,3,5] => [8,1,2,3,5,7,6,4] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]]
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [1,8,7,6,5,2,3,4] => [8,1,2,3,4,7,6,5] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [1,8,7,6,5,2,4,3] => [8,1,2,3,4,7,5,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [1,8,7,6,5,3,2,4] => [8,1,2,3,4,6,7,5] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8] => [7,8,6,5,4,3,2,1] => [[[[[[[.,[.,.]],.],.],.],.],.],.]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [2,1,3,4,5,6,8,7] => [7,8,6,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [2,1,3,4,5,7,6,8] => [7,8,6,5,4,2,3,1] => [[[[[[.,[.,.]],.],.],.],[.,.]],.]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,3,1,2] => [2,1,3,4,5,8,6,7] => [7,8,6,5,4,1,3,2] => [[[[[.,[.,.]],.],.],.],[[.,.],.]]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [2,1,3,4,5,8,7,6] => [7,8,6,5,4,1,2,3] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [2,1,3,4,6,5,7,8] => [7,8,6,5,3,4,2,1] => [[[[[[.,[.,.]],.],.],[.,.]],.],.]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [2,1,3,4,6,5,8,7] => [7,8,6,5,3,4,1,2] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [2,1,3,4,7,5,6,8] => [7,8,6,5,2,4,3,1] => [[[[[.,[.,.]],.],.],[[.,.],.]],.]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,3,1,2] => [2,1,3,4,8,5,6,7] => [7,8,6,5,1,4,3,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,3,1,2] => [2,1,3,4,8,5,7,6] => [7,8,6,5,1,4,2,3] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [2,1,3,4,8,7,5,6] => [7,8,6,5,1,2,4,3] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [2,1,3,4,8,7,6,5] => [7,8,6,5,1,2,3,4] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [2,1,3,5,4,6,7,8] => [7,8,6,4,5,3,2,1] => [[[[[[.,[.,.]],.],[.,.]],.],.],.]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [2,1,3,5,4,6,8,7] => [7,8,6,4,5,3,1,2] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [2,1,3,6,4,5,7,8] => [7,8,6,3,5,4,2,1] => [[[[[.,[.,.]],.],[[.,.],.]],.],.]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,3,1,2] => [2,1,3,6,5,4,7,8] => [7,8,6,3,4,5,2,1] => [[[[[.,[.,.]],.],[.,[.,.]]],.],.]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,3,1,2] => [2,1,3,6,5,4,8,7] => [7,8,6,3,4,5,1,2] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [8,5,4,6,7,3,1,2] => [2,1,3,7,6,4,5,8] => [7,8,6,2,3,5,4,1] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [8,4,5,6,7,3,1,2] => [2,1,3,7,6,5,4,8] => [7,8,6,2,3,4,5,1] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,3,1,2] => [2,1,3,8,4,5,6,7] => [7,8,6,1,5,4,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]]
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,3,1,2] => [2,1,3,8,4,6,5,7] => [7,8,6,1,5,3,4,2] => [[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [5,6,7,4,8,3,1,2] => [2,1,3,8,4,7,6,5] => [7,8,6,1,5,2,3,4] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,3,1,2] => [2,1,3,8,6,4,5,7] => [7,8,6,1,3,5,4,2] => [[[.,[.,.]],.],[[.,[[.,.],.]],.]]
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [7,4,5,6,8,3,1,2] => [2,1,3,8,6,5,4,7] => [7,8,6,1,3,4,5,2] => [[[.,[.,.]],.],[[.,[.,[.,.]]],.]]
[[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [6,4,5,7,8,3,1,2] => [2,1,3,8,7,5,4,6] => [7,8,6,1,2,4,5,3] => [[[.,[.,.]],.],[.,[[.,[.,.]],.]]]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [2,1,3,8,7,6,5,4] => [7,8,6,1,2,3,4,5] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [2,1,4,3,5,6,7,8] => [7,8,5,6,4,3,2,1] => [[[[[[.,[.,.]],[.,.]],.],.],.],.]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [2,1,4,3,5,6,8,7] => [7,8,5,6,4,3,1,2] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,4,1,2] => [2,1,4,3,5,8,6,7] => [7,8,5,6,4,1,3,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [2,1,4,3,5,8,7,6] => [7,8,5,6,4,1,2,3] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [2,1,4,3,6,5,7,8] => [7,8,5,6,3,4,2,1] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7] => [7,8,5,6,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,4,1,2] => [2,1,4,3,7,5,6,8] => [7,8,5,6,2,4,3,1] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [2,1,4,3,7,6,5,8] => [7,8,5,6,2,3,4,1] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [2,1,4,3,8,5,6,7] => [7,8,5,6,1,4,3,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [2,1,4,3,8,5,7,6] => [7,8,5,6,1,4,2,3] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [2,1,4,3,8,6,5,7] => [7,8,5,6,1,3,4,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [2,1,4,3,8,7,5,6] => [7,8,5,6,1,2,4,3] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [2,1,4,3,8,7,6,5] => [7,8,5,6,1,2,3,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,3,5,1,2] => [2,1,5,3,4,6,8,7] => [7,8,4,6,5,3,1,2] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [7,8,6,3,4,5,1,2] => [2,1,5,4,3,6,8,7] => [7,8,4,5,6,3,1,2] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [2,1,5,4,3,7,6,8] => [7,8,4,5,6,2,3,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [7,6,8,3,4,5,1,2] => [2,1,5,4,3,8,6,7] => [7,8,4,5,6,1,3,2] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [6,7,8,3,4,5,1,2] => [2,1,5,4,3,8,7,6] => [7,8,4,5,6,1,2,3] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [2,1,6,3,4,5,8,7] => [7,8,3,6,5,4,1,2] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [2,1,6,3,5,4,8,7] => [7,8,3,6,4,5,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [8,7,4,3,5,6,1,2] => [2,1,6,5,3,4,7,8] => [7,8,3,4,6,5,2,1] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [2,1,6,5,3,4,8,7] => [7,8,3,4,6,5,1,2] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [8,7,3,4,5,6,1,2] => [2,1,6,5,4,3,7,8] => [7,8,3,4,5,6,2,1] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [2,1,6,5,4,3,8,7] => [7,8,3,4,5,6,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,3,7,1,2] => [2,1,7,3,4,5,6,8] => [7,8,2,6,5,4,3,1] => [[[.,[.,.]],[[[[.,.],.],.],.]],.]
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [8,6,4,5,3,7,1,2] => [2,1,7,3,5,4,6,8] => [7,8,2,6,4,5,3,1] => [[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,3,7,1,2] => [2,1,7,3,6,4,5,8] => [7,8,2,6,3,5,4,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [8,4,5,3,6,7,1,2] => [2,1,7,6,3,5,4,8] => [7,8,2,3,6,4,5,1] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [2,1,7,6,5,3,4,8] => [7,8,2,3,4,6,5,1] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [2,1,7,6,5,4,3,8] => [7,8,2,3,4,5,6,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [2,1,8,3,4,5,6,7] => [7,8,1,6,5,4,3,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [2,1,8,3,4,7,5,6] => [7,8,1,6,5,2,4,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [5,6,7,4,3,8,1,2] => [2,1,8,3,4,7,6,5] => [7,8,1,6,5,2,3,4] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [2,1,8,3,5,4,7,6] => [7,8,1,6,4,5,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,3,8,1,2] => [2,1,8,3,6,4,5,7] => [7,8,1,6,3,5,4,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [7,4,5,6,3,8,1,2] => [2,1,8,3,6,5,4,7] => [7,8,1,6,3,4,5,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [2,1,8,3,7,4,5,6] => [7,8,1,6,2,5,4,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [2,1,8,3,7,4,6,5] => [7,8,1,6,2,5,3,4] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [6,4,5,7,3,8,1,2] => [2,1,8,3,7,5,4,6] => [7,8,1,6,2,4,5,3] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [5,4,6,7,3,8,1,2] => [2,1,8,3,7,6,4,5] => [7,8,1,6,2,3,5,4] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [4,5,6,7,3,8,1,2] => [2,1,8,3,7,6,5,4] => [7,8,1,6,2,3,4,5] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [7,6,5,3,4,8,1,2] => [2,1,8,4,3,5,6,7] => [7,8,1,5,6,4,3,2] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]]
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [6,7,5,3,4,8,1,2] => [2,1,8,4,3,5,7,6] => [7,8,1,5,6,4,2,3] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [7,5,6,3,4,8,1,2] => [2,1,8,4,3,6,5,7] => [7,8,1,5,6,3,4,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]]
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [5,6,7,3,4,8,1,2] => [2,1,8,4,3,7,6,5] => [7,8,1,5,6,2,3,4] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [7,6,4,3,5,8,1,2] => [2,1,8,5,3,4,6,7] => [7,8,1,4,6,5,3,2] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [7,6,3,4,5,8,1,2] => [2,1,8,5,4,3,6,7] => [7,8,1,4,5,6,3,2] => [[.,[.,.]],[[[.,[.,[.,.]]],.],.]]
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [6,7,3,4,5,8,1,2] => [2,1,8,5,4,3,7,6] => [7,8,1,4,5,6,2,3] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [7,4,5,3,6,8,1,2] => [2,1,8,6,3,5,4,7] => [7,8,1,3,6,4,5,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [2,1,8,6,5,4,3,7] => [7,8,1,3,4,5,6,2] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [2,1,8,7,3,4,5,6] => [7,8,1,2,6,5,4,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [5,6,4,3,7,8,1,2] => [2,1,8,7,3,4,6,5] => [7,8,1,2,6,5,3,4] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [2,1,8,7,4,3,6,5] => [7,8,1,2,5,6,3,4] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [2,1,8,7,5,3,4,6] => [7,8,1,2,4,6,5,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [2,1,8,7,5,4,3,6] => [7,8,1,2,4,5,6,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [2,1,8,7,6,3,4,5] => [7,8,1,2,3,6,5,4] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [2,1,8,7,6,3,5,4] => [7,8,1,2,3,6,4,5] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [5,3,4,6,7,8,1,2] => [2,1,8,7,6,4,3,5] => [7,8,1,2,3,5,6,4] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [2,1,8,7,6,5,3,4] => [7,8,1,2,3,4,6,5] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [2,1,8,7,6,5,4,3] => [7,8,1,2,3,4,5,6] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [3,1,2,4,5,6,7,8] => [6,8,7,5,4,3,2,1] => [[[[[[.,[[.,.],.]],.],.],.],.],.]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [3,1,2,4,5,6,8,7] => [6,8,7,5,4,3,1,2] => [[[[[.,[[.,.],.]],.],.],.],[.,.]]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [3,1,2,4,5,8,6,7] => [6,8,7,5,4,1,3,2] => [[[[.,[[.,.],.]],.],.],[[.,.],.]]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [3,1,2,4,6,5,8,7] => [6,8,7,5,3,4,1,2] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [3,1,2,4,8,5,6,7] => [6,8,7,5,1,4,3,2] => [[[.,[[.,.],.]],.],[[[.,.],.],.]]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,2,1,3] => [3,1,2,4,8,6,5,7] => [6,8,7,5,1,3,4,2] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,2,1,3] => [3,1,2,4,8,7,5,6] => [6,8,7,5,1,2,4,3] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [3,1,2,4,8,7,6,5] => [6,8,7,5,1,2,3,4] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,2,1,3] => [3,1,2,5,4,6,7,8] => [6,8,7,4,5,3,2,1] => [[[[[.,[[.,.],.]],[.,.]],.],.],.]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [7,8,6,4,5,2,1,3] => [3,1,2,5,4,6,8,7] => [6,8,7,4,5,3,1,2] => [[[[.,[[.,.],.]],[.,.]],.],[.,.]]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [7,6,8,4,5,2,1,3] => [3,1,2,5,4,8,6,7] => [6,8,7,4,5,1,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,2,1,3] => [3,1,2,6,4,5,7,8] => [6,8,7,3,5,4,2,1] => [[[[.,[[.,.],.]],[[.,.],.]],.],.]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,2,1,3] => [3,1,2,6,5,4,7,8] => [6,8,7,3,4,5,2,1] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,2,1,3] => [3,1,2,6,5,4,8,7] => [6,8,7,3,4,5,1,2] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,2,1,3] => [3,1,2,7,4,5,6,8] => [6,8,7,2,5,4,3,1] => [[[.,[[.,.],.]],[[[.,.],.],.]],.]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,2,1,3] => [3,1,2,7,5,4,6,8] => [6,8,7,2,4,5,3,1] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,2,1,3] => [3,1,2,7,6,4,5,8] => [6,8,7,2,3,5,4,1] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,2,1,3] => [3,1,2,7,6,5,4,8] => [6,8,7,2,3,4,5,1] => [[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,2,1,3] => [3,1,2,8,4,5,6,7] => [6,8,7,1,5,4,3,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,2,1,3] => [3,1,2,8,4,5,7,6] => [6,8,7,1,5,4,2,3] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,2,1,3] => [3,1,2,8,4,7,6,5] => [6,8,7,1,5,2,3,4] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,2,1,3] => [3,1,2,8,6,4,5,7] => [6,8,7,1,3,5,4,2] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,2,1,3] => [3,1,2,8,6,5,4,7] => [6,8,7,1,3,4,5,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [3,1,2,8,7,6,5,4] => [6,8,7,1,2,3,4,5] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [3,2,1,4,5,6,7,8] => [6,7,8,5,4,3,2,1] => [[[[[[.,[.,[.,.]]],.],.],.],.],.]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [3,2,1,4,5,6,8,7] => [6,7,8,5,4,3,1,2] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [3,2,1,4,5,8,7,6] => [6,7,8,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,1,2,3] => [3,2,1,4,6,5,8,7] => [6,7,8,5,3,4,1,2] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [3,2,1,4,7,6,5,8] => [6,7,8,5,2,3,4,1] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,1,2,3] => [3,2,1,4,8,5,6,7] => [6,7,8,5,1,4,3,2] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,1,2,3] => [3,2,1,4,8,5,7,6] => [6,7,8,5,1,4,2,3] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,1,2,3] => [3,2,1,4,8,7,5,6] => [6,7,8,5,1,2,4,3] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [3,2,1,4,8,7,6,5] => [6,7,8,5,1,2,3,4] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [7,8,6,4,5,1,2,3] => [3,2,1,5,4,6,8,7] => [6,7,8,4,5,3,1,2] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [3,2,1,5,4,7,6,8] => [6,7,8,4,5,2,3,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,1,2,3] => [3,2,1,5,4,8,7,6] => [6,7,8,4,5,1,2,3] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,1,2,3] => [3,2,1,6,4,5,7,8] => [6,7,8,3,5,4,2,1] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [3,2,1,6,5,4,7,8] => [6,7,8,3,4,5,2,1] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,1,2,3] => [3,2,1,7,4,5,6,8] => [6,7,8,2,5,4,3,1] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,1,2,3] => [3,2,1,7,5,4,6,8] => [6,7,8,2,4,5,3,1] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,1,2,3] => [3,2,1,7,6,4,5,8] => [6,7,8,2,3,5,4,1] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [3,2,1,7,6,5,4,8] => [6,7,8,2,3,4,5,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [3,2,1,8,4,5,6,7] => [6,7,8,1,5,4,3,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,1,2,3] => [3,2,1,8,4,5,7,6] => [6,7,8,1,5,4,2,3] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,1,2,3] => [3,2,1,8,4,6,5,7] => [6,7,8,1,5,3,4,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,1,2,3] => [3,2,1,8,4,7,5,6] => [6,7,8,1,5,2,4,3] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,1,2,3] => [3,2,1,8,4,7,6,5] => [6,7,8,1,5,2,3,4] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,1,2,3] => [3,2,1,8,5,4,6,7] => [6,7,8,1,4,5,3,2] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [3,2,1,8,5,4,7,6] => [6,7,8,1,4,5,2,3] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [3,2,1,8,6,4,5,7] => [6,7,8,1,3,5,4,2] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]]
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,1,2,3] => [3,2,1,8,6,5,4,7] => [6,7,8,1,3,4,5,2] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [3,2,1,8,7,4,5,6] => [6,7,8,1,2,5,4,3] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,1,2,3] => [3,2,1,8,7,4,6,5] => [6,7,8,1,2,5,3,4] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [6,4,5,7,8,1,2,3] => [3,2,1,8,7,5,4,6] => [6,7,8,1,2,4,5,3] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [3,2,1,8,7,6,4,5] => [6,7,8,1,2,3,5,4] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [3,2,1,8,7,6,5,4] => [6,7,8,1,2,3,4,5] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [4,1,2,3,5,6,7,8] => [5,8,7,6,4,3,2,1] => [[[[[.,[[[.,.],.],.]],.],.],.],.]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,2,1,4] => [4,1,2,3,5,6,8,7] => [5,8,7,6,4,3,1,2] => [[[[.,[[[.,.],.],.]],.],.],[.,.]]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [4,1,2,3,5,7,6,8] => [5,8,7,6,4,2,3,1] => [[[[.,[[[.,.],.],.]],.],[.,.]],.]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,2,1,4] => [4,1,2,3,5,8,6,7] => [5,8,7,6,4,1,3,2] => [[[.,[[[.,.],.],.]],.],[[.,.],.]]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,2,1,4] => [4,1,2,3,5,8,7,6] => [5,8,7,6,4,1,2,3] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [4,1,2,3,6,5,7,8] => [5,8,7,6,3,4,2,1] => [[[[.,[[[.,.],.],.]],[.,.]],.],.]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [4,1,2,3,6,5,8,7] => [5,8,7,6,3,4,1,2] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [4,1,2,3,7,5,6,8] => [5,8,7,6,2,4,3,1] => [[[.,[[[.,.],.],.]],[[.,.],.]],.]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [4,1,2,3,7,6,5,8] => [5,8,7,6,2,3,4,1] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [4,1,2,3,8,5,6,7] => [5,8,7,6,1,4,3,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [4,1,2,3,8,5,7,6] => [5,8,7,6,1,4,2,3] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,2,1,4] => [4,1,2,3,8,6,5,7] => [5,8,7,6,1,3,4,2] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [4,1,2,3,8,7,5,6] => [5,8,7,6,1,2,4,3] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [4,1,2,3,8,7,6,5] => [5,8,7,6,1,2,3,4] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [4,1,3,2,5,6,7,8] => [5,8,6,7,4,3,2,1] => [[[[[.,[[.,.],[.,.]]],.],.],.],.]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,3,1,4] => [4,1,3,2,5,6,8,7] => [5,8,6,7,4,3,1,2] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,3,1,4] => [4,1,3,2,5,8,6,7] => [5,8,6,7,4,1,3,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [6,7,8,5,2,3,1,4] => [4,1,3,2,5,8,7,6] => [5,8,6,7,4,1,2,3] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,3,1,4] => [4,1,3,2,6,5,7,8] => [5,8,6,7,3,4,2,1] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [4,1,3,2,6,5,8,7] => [5,8,6,7,3,4,1,2] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [4,1,3,2,8,5,6,7] => [5,8,6,7,1,4,3,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [4,1,3,2,8,5,7,6] => [5,8,6,7,1,4,2,3] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [4,1,3,2,8,6,5,7] => [5,8,6,7,1,3,4,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [4,1,3,2,8,7,6,5] => [5,8,6,7,1,2,3,4] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [4,2,1,3,5,6,7,8] => [5,7,8,6,4,3,2,1] => [[[[[.,[[.,[.,.]],.]],.],.],.],.]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,1,2,4] => [4,2,1,3,5,7,6,8] => [5,7,8,6,4,2,3,1] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,1,2,4] => [4,2,1,3,5,8,7,6] => [5,7,8,6,4,1,2,3] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [4,2,1,3,6,5,7,8] => [5,7,8,6,3,4,2,1] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [4,2,1,3,6,5,8,7] => [5,7,8,6,3,4,1,2] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,1,2,4] => [4,2,1,3,7,6,5,8] => [5,7,8,6,2,3,4,1] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,1,2,4] => [4,2,1,3,8,5,6,7] => [5,7,8,6,1,4,3,2] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [4,2,1,3,8,5,7,6] => [5,7,8,6,1,4,2,3] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [4,2,1,3,8,6,5,7] => [5,7,8,6,1,3,4,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [4,2,1,3,8,7,5,6] => [5,7,8,6,1,2,4,3] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [4,2,1,3,8,7,6,5] => [5,7,8,6,1,2,3,4] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [4,3,1,2,5,6,7,8] => [5,6,8,7,4,3,2,1] => [[[[[.,[.,[[.,.],.]]],.],.],.],.]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [4,3,1,2,5,6,8,7] => [5,6,8,7,4,3,1,2] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [4,3,1,2,5,8,7,6] => [5,6,8,7,4,1,2,3] => [[[.,[.,[[.,.],.]]],.],[.,[.,.]]]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [4,3,1,2,6,5,8,7] => [5,6,8,7,3,4,1,2] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,1,3,4] => [4,3,1,2,7,5,6,8] => [5,6,8,7,2,4,3,1] => [[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,1,3,4] => [4,3,1,2,8,5,6,7] => [5,6,8,7,1,4,3,2] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [4,3,1,2,8,5,7,6] => [5,6,8,7,1,4,2,3] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [7,5,6,8,2,1,3,4] => [4,3,1,2,8,6,5,7] => [5,6,8,7,1,3,4,2] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [4,3,1,2,8,7,5,6] => [5,6,8,7,1,2,4,3] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [4,3,1,2,8,7,6,5] => [5,6,8,7,1,2,3,4] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [4,3,2,1,5,6,7,8] => [5,6,7,8,4,3,2,1] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [4,3,2,1,5,6,8,7] => [5,6,7,8,4,3,1,2] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [4,3,2,1,5,7,6,8] => [5,6,7,8,4,2,3,1] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [4,3,2,1,5,8,6,7] => [5,6,7,8,4,1,3,2] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [4,3,2,1,5,8,7,6] => [5,6,7,8,4,1,2,3] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [4,3,2,1,6,5,7,8] => [5,6,7,8,3,4,2,1] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [4,3,2,1,6,5,8,7] => [5,6,7,8,3,4,1,2] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [4,3,2,1,7,5,6,8] => [5,6,7,8,2,4,3,1] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [4,3,2,1,7,6,5,8] => [5,6,7,8,2,3,4,1] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [4,3,2,1,8,5,6,7] => [5,6,7,8,1,4,3,2] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [4,3,2,1,8,5,7,6] => [5,6,7,8,1,4,2,3] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [4,3,2,1,8,6,5,7] => [5,6,7,8,1,3,4,2] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [4,3,2,1,8,7,5,6] => [5,6,7,8,1,2,4,3] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [4,3,2,1,8,7,6,5] => [5,6,7,8,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [5,1,2,3,4,6,7,8] => [4,8,7,6,5,3,2,1] => [[[[.,[[[[.,.],.],.],.]],.],.],.]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [5,1,2,3,4,6,8,7] => [4,8,7,6,5,3,1,2] => [[[.,[[[[.,.],.],.],.]],.],[.,.]]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [8,6,7,4,3,2,1,5] => [5,1,2,3,4,7,6,8] => [4,8,7,6,5,2,3,1] => [[[.,[[[[.,.],.],.],.]],[.,.]],.]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [5,1,2,3,4,8,6,7] => [4,8,7,6,5,1,3,2] => [[.,[[[[.,.],.],.],.]],[[.,.],.]]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [5,1,2,3,4,8,7,6] => [4,8,7,6,5,1,2,3] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [5,1,2,4,3,6,7,8] => [4,8,7,5,6,3,2,1] => [[[[.,[[[.,.],.],[.,.]]],.],.],.]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [7,8,6,3,4,2,1,5] => [5,1,2,4,3,6,8,7] => [4,8,7,5,6,3,1,2] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [7,6,8,3,4,2,1,5] => [5,1,2,4,3,8,6,7] => [4,8,7,5,6,1,3,2] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [5,1,3,2,4,6,7,8] => [4,8,6,7,5,3,2,1] => [[[[.,[[[.,.],[.,.]],.]],.],.],.]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [7,8,6,4,2,3,1,5] => [5,1,3,2,4,6,8,7] => [4,8,6,7,5,3,1,2] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,2,3,1,5] => [5,1,3,2,4,8,6,7] => [4,8,6,7,5,1,3,2] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [5,1,3,2,4,8,7,6] => [4,8,6,7,5,1,2,3] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [5,1,4,2,3,6,7,8] => [4,8,5,7,6,3,2,1] => [[[[.,[[.,.],[[.,.],.]]],.],.],.]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [7,8,6,3,2,4,1,5] => [5,1,4,2,3,6,8,7] => [4,8,5,7,6,3,1,2] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [8,6,7,2,3,4,1,5] => [5,1,4,3,2,7,6,8] => [4,8,5,6,7,2,3,1] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [5,2,1,3,4,6,7,8] => [4,7,8,6,5,3,2,1] => [[[[.,[[[.,[.,.]],.],.]],.],.],.]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,3,1,2,5] => [5,2,1,3,4,8,6,7] => [4,7,8,6,5,1,3,2] => [[.,[[[.,[.,.]],.],.]],[[.,.],.]]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [5,2,1,3,4,8,7,6] => [4,7,8,6,5,1,2,3] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [5,2,1,4,3,7,6,8] => [4,7,8,5,6,2,3,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [7,6,8,3,4,1,2,5] => [5,2,1,4,3,8,6,7] => [4,7,8,5,6,1,3,2] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [5,2,1,4,3,8,7,6] => [4,7,8,5,6,1,2,3] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [5,3,1,2,4,6,7,8] => [4,6,8,7,5,3,2,1] => [[[[.,[[.,[[.,.],.]],.]],.],.],.]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,2,1,3,5] => [5,3,1,2,4,6,8,7] => [4,6,8,7,5,3,1,2] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [6,7,8,4,2,1,3,5] => [5,3,1,2,4,8,7,6] => [4,6,8,7,5,1,2,3] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,1,2,3,5] => [5,3,2,1,4,7,6,8] => [4,6,7,8,5,2,3,1] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,1,2,3,5] => [5,3,2,1,4,8,6,7] => [4,6,7,8,5,1,3,2] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [5,4,1,2,3,6,7,8] => [4,5,8,7,6,3,2,1] => [[[[.,[.,[[[.,.],.],.]]],.],.],.]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [7,8,6,3,2,1,4,5] => [5,4,1,2,3,6,8,7] => [4,5,8,7,6,3,1,2] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [7,6,8,3,2,1,4,5] => [5,4,1,2,3,8,6,7] => [4,5,8,7,6,1,3,2] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [5,4,1,2,3,8,7,6] => [4,5,8,7,6,1,2,3] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [8,6,7,2,3,1,4,5] => [5,4,1,3,2,7,6,8] => [4,5,8,6,7,2,3,1] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [5,4,1,3,2,8,7,6] => [4,5,8,6,7,1,2,3] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [5,4,3,1,2,6,7,8] => [4,5,6,8,7,3,2,1] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [5,4,3,2,1,6,7,8] => [4,5,6,7,8,3,2,1] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [5,4,3,2,1,6,8,7] => [4,5,6,7,8,3,1,2] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [5,4,3,2,1,7,6,8] => [4,5,6,7,8,2,3,1] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [5,4,3,2,1,8,6,7] => [4,5,6,7,8,1,3,2] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [5,4,3,2,1,8,7,6] => [4,5,6,7,8,1,2,3] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [6,1,2,3,4,5,7,8] => [3,8,7,6,5,4,2,1] => [[[.,[[[[[.,.],.],.],.],.]],.],.]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [6,1,2,3,4,5,8,7] => [3,8,7,6,5,4,1,2] => [[.,[[[[[.,.],.],.],.],.]],[.,.]]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [8,7,4,5,3,2,1,6] => [6,1,2,3,5,4,7,8] => [3,8,7,6,4,5,2,1] => [[[.,[[[[.,.],.],.],[.,.]]],.],.]
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [7,8,4,5,3,2,1,6] => [6,1,2,3,5,4,8,7] => [3,8,7,6,4,5,1,2] => [[.,[[[[.,.],.],.],[.,.]]],[.,.]]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [6,1,2,4,3,5,7,8] => [3,8,7,5,6,4,2,1] => [[[.,[[[[.,.],.],[.,.]],.]],.],.]
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [7,8,5,3,4,2,1,6] => [6,1,2,4,3,5,8,7] => [3,8,7,5,6,4,1,2] => [[.,[[[[.,.],.],[.,.]],.]],[.,.]]
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [7,8,4,3,5,2,1,6] => [6,1,2,5,3,4,8,7] => [3,8,7,4,6,5,1,2] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [7,8,3,4,5,2,1,6] => [6,1,2,5,4,3,8,7] => [3,8,7,4,5,6,1,2] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,2,3,1,6] => [6,1,3,2,4,5,7,8] => [3,8,6,7,5,4,2,1] => [[[.,[[[[.,.],[.,.]],.],.]],.],.]
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [7,8,5,4,2,3,1,6] => [6,1,3,2,4,5,8,7] => [3,8,6,7,5,4,1,2] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [7,8,4,5,2,3,1,6] => [6,1,3,2,5,4,8,7] => [3,8,6,7,4,5,1,2] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [6,1,4,2,3,5,7,8] => [3,8,5,7,6,4,2,1] => [[[.,[[[.,.],[[.,.],.]],.]],.],.]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [7,8,5,2,3,4,1,6] => [6,1,4,3,2,5,8,7] => [3,8,5,6,7,4,1,2] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [8,7,4,3,2,5,1,6] => [6,1,5,2,3,4,7,8] => [3,8,4,7,6,5,2,1] => [[[.,[[.,.],[[[.,.],.],.]]],.],.]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [7,8,4,3,2,5,1,6] => [6,1,5,2,3,4,8,7] => [3,8,4,7,6,5,1,2] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [8,7,3,4,2,5,1,6] => [6,1,5,2,4,3,7,8] => [3,8,4,7,5,6,2,1] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [6,1,5,2,4,3,8,7] => [3,8,4,7,5,6,1,2] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [8,7,2,3,4,5,1,6] => [6,1,5,4,3,2,7,8] => [3,8,4,5,6,7,2,1] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [6,2,1,3,4,5,7,8] => [3,7,8,6,5,4,2,1] => [[[.,[[[[.,[.,.]],.],.],.]],.],.]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [8,7,5,3,4,1,2,6] => [6,2,1,4,3,5,7,8] => [3,7,8,5,6,4,2,1] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [6,2,1,5,4,3,7,8] => [3,7,8,4,5,6,2,1] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [7,8,3,4,5,1,2,6] => [6,2,1,5,4,3,8,7] => [3,7,8,4,5,6,1,2] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,2,1,3,6] => [6,3,1,2,4,5,7,8] => [3,6,8,7,5,4,2,1] => [[[.,[[[.,[[.,.],.]],.],.]],.],.]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [6,3,1,2,4,5,8,7] => [3,6,8,7,5,4,1,2] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [6,3,2,1,4,5,8,7] => [3,6,7,8,5,4,1,2] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [8,7,4,5,1,2,3,6] => [6,3,2,1,5,4,7,8] => [3,6,7,8,4,5,2,1] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [6,4,1,2,3,5,7,8] => [3,5,8,7,6,4,2,1] => [[[.,[[.,[[[.,.],.],.]],.]],.],.]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [7,8,5,3,2,1,4,6] => [6,4,1,2,3,5,8,7] => [3,5,8,7,6,4,1,2] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [6,4,2,1,3,5,7,8] => [3,5,7,8,6,4,2,1] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [6,4,3,1,2,5,7,8] => [3,5,6,8,7,4,2,1] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [6,4,3,1,2,5,8,7] => [3,5,6,8,7,4,1,2] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [6,4,3,2,1,5,7,8] => [3,5,6,7,8,4,2,1] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [6,4,3,2,1,5,8,7] => [3,5,6,7,8,4,1,2] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [6,5,1,2,3,4,8,7] => [3,4,8,7,6,5,1,2] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [8,7,3,4,2,1,5,6] => [6,5,1,2,4,3,7,8] => [3,4,8,7,5,6,2,1] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [7,8,3,4,2,1,5,6] => [6,5,1,2,4,3,8,7] => [3,4,8,7,5,6,1,2] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [6,5,1,4,2,3,8,7] => [3,4,8,5,7,6,1,2] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [8,7,2,3,4,1,5,6] => [6,5,1,4,3,2,7,8] => [3,4,8,5,6,7,2,1] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [6,5,1,4,3,2,8,7] => [3,4,8,5,6,7,1,2] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [6,5,2,1,4,3,8,7] => [3,4,7,8,5,6,1,2] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [6,5,3,1,2,4,8,7] => [3,4,6,8,7,5,1,2] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [6,5,3,2,1,4,7,8] => [3,4,6,7,8,5,2,1] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [7,8,4,1,2,3,5,6] => [6,5,3,2,1,4,8,7] => [3,4,6,7,8,5,1,2] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [6,5,4,1,2,3,8,7] => [3,4,5,8,7,6,1,2] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [8,7,2,3,1,4,5,6] => [6,5,4,1,3,2,7,8] => [3,4,5,8,6,7,2,1] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [6,5,4,1,3,2,8,7] => [3,4,5,8,6,7,1,2] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [8,7,3,1,2,4,5,6] => [6,5,4,2,1,3,7,8] => [3,4,5,7,8,6,2,1] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [7,8,3,1,2,4,5,6] => [6,5,4,2,1,3,8,7] => [3,4,5,7,8,6,1,2] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [6,5,4,3,1,2,7,8] => [3,4,5,6,8,7,2,1] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [6,5,4,3,1,2,8,7] => [3,4,5,6,8,7,1,2] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [6,5,4,3,2,1,7,8] => [3,4,5,6,7,8,2,1] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [6,5,4,3,2,1,8,7] => [3,4,5,6,7,8,1,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,8] => [2,8,7,6,5,4,3,1] => [[.,[[[[[[.,.],.],.],.],.],.]],.]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [7,1,2,3,4,6,5,8] => [2,8,7,6,5,3,4,1] => [[.,[[[[[.,.],.],.],.],[.,.]]],.]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [8,6,4,5,3,2,1,7] => [7,1,2,3,5,4,6,8] => [2,8,7,6,4,5,3,1] => [[.,[[[[[.,.],.],.],[.,.]],.]],.]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [7,1,2,3,6,5,4,8] => [2,8,7,6,3,4,5,1] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [7,1,2,4,3,5,6,8] => [2,8,7,5,6,4,3,1] => [[.,[[[[[.,.],.],[.,.]],.],.]],.]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [8,5,6,3,4,2,1,7] => [7,1,2,4,3,6,5,8] => [2,8,7,5,6,3,4,1] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [8,6,4,3,5,2,1,7] => [7,1,2,5,3,4,6,8] => [2,8,7,4,6,5,3,1] => [[.,[[[[.,.],.],[[.,.],.]],.]],.]
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [8,6,3,4,5,2,1,7] => [7,1,2,5,4,3,6,8] => [2,8,7,4,5,6,3,1] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [7,1,2,6,5,3,4,8] => [2,8,7,3,4,6,5,1] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [8,3,4,5,6,2,1,7] => [7,1,2,6,5,4,3,8] => [2,8,7,3,4,5,6,1] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [7,1,3,2,4,5,6,8] => [2,8,6,7,5,4,3,1] => [[.,[[[[[.,.],[.,.]],.],.],.]],.]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [8,5,6,4,2,3,1,7] => [7,1,3,2,4,6,5,8] => [2,8,6,7,5,3,4,1] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [7,1,4,2,3,5,6,8] => [2,8,5,7,6,4,3,1] => [[.,[[[[.,.],[[.,.],.]],.],.]],.]
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [8,5,6,3,2,4,1,7] => [7,1,4,2,3,6,5,8] => [2,8,5,7,6,3,4,1] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [8,6,5,2,3,4,1,7] => [7,1,4,3,2,5,6,8] => [2,8,5,6,7,4,3,1] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [8,6,4,3,2,5,1,7] => [7,1,5,2,3,4,6,8] => [2,8,4,7,6,5,3,1] => [[.,[[[.,.],[[[.,.],.],.]],.]],.]
[[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [8,6,2,3,4,5,1,7] => [7,1,5,4,3,2,6,8] => [2,8,4,5,6,7,3,1] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [7,1,6,2,3,4,5,8] => [2,8,3,7,6,5,4,1] => [[.,[[.,.],[[[[.,.],.],.],.]]],.]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [8,5,3,4,2,6,1,7] => [7,1,6,2,4,3,5,8] => [2,8,3,7,5,6,4,1] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [7,1,6,2,5,3,4,8] => [2,8,3,7,4,6,5,1] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [8,3,4,5,2,6,1,7] => [7,1,6,2,5,4,3,8] => [2,8,3,7,4,5,6,1] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [8,5,4,2,3,6,1,7] => [7,1,6,3,2,4,5,8] => [2,8,3,6,7,5,4,1] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [7,1,6,4,2,3,5,8] => [2,8,3,5,7,6,4,1] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [8,5,2,3,4,6,1,7] => [7,1,6,4,3,2,5,8] => [2,8,3,5,6,7,4,1] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [8,3,4,2,5,6,1,7] => [7,1,6,5,2,4,3,8] => [2,8,3,4,7,5,6,1] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [7,1,6,5,4,2,3,8] => [2,8,3,4,5,7,6,1] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [7,1,6,5,4,3,2,8] => [2,8,3,4,5,6,7,1] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [7,2,1,3,4,5,6,8] => [2,7,8,6,5,4,3,1] => [[.,[[[[[.,[.,.]],.],.],.],.]],.]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [8,5,4,6,3,1,2,7] => [7,2,1,3,6,4,5,8] => [2,7,8,6,3,5,4,1] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [7,2,1,4,3,6,5,8] => [2,7,8,5,6,3,4,1] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [8,6,3,4,5,1,2,7] => [7,2,1,5,4,3,6,8] => [2,7,8,4,5,6,3,1] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [8,4,5,3,6,1,2,7] => [7,2,1,6,3,5,4,8] => [2,7,8,3,6,4,5,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [7,2,1,6,5,4,3,8] => [2,7,8,3,4,5,6,1] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [7,3,1,2,4,5,6,8] => [2,6,8,7,5,4,3,1] => [[.,[[[[.,[[.,.],.]],.],.],.]],.]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,2,1,3,7] => [7,3,1,2,4,6,5,8] => [2,6,8,7,5,3,4,1] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [8,4,5,6,2,1,3,7] => [7,3,1,2,6,5,4,8] => [2,6,8,7,3,4,5,1] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [7,3,2,1,4,5,6,8] => [2,6,7,8,5,4,3,1] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [7,3,2,1,4,6,5,8] => [2,6,7,8,5,3,4,1] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [7,4,1,2,3,5,6,8] => [2,5,8,7,6,4,3,1] => [[.,[[[.,[[[.,.],.],.]],.],.]],.]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [7,4,1,3,2,5,6,8] => [2,5,8,6,7,4,3,1] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [7,4,1,3,2,6,5,8] => [2,5,8,6,7,3,4,1] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [8,5,6,3,1,2,4,7] => [7,4,2,1,3,6,5,8] => [2,5,7,8,6,3,4,1] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [7,4,3,1,2,6,5,8] => [2,5,6,8,7,3,4,1] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [7,4,3,2,1,5,6,8] => [2,5,6,7,8,4,3,1] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [7,4,3,2,1,6,5,8] => [2,5,6,7,8,3,4,1] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [7,5,1,2,3,4,6,8] => [2,4,8,7,6,5,3,1] => [[.,[[.,[[[[.,.],.],.],.]],.]],.]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [7,5,1,2,4,3,6,8] => [2,4,8,7,5,6,3,1] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [7,5,1,4,2,3,6,8] => [2,4,8,5,7,6,3,1] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [8,6,4,3,1,2,5,7] => [7,5,2,1,3,4,6,8] => [2,4,7,8,6,5,3,1] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [7,5,2,1,4,3,6,8] => [2,4,7,8,5,6,3,1] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [7,5,3,1,2,4,6,8] => [2,4,6,8,7,5,3,1] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [7,5,3,2,1,4,6,8] => [2,4,6,7,8,5,3,1] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [8,6,3,1,2,4,5,7] => [7,5,4,2,1,3,6,8] => [2,4,5,7,8,6,3,1] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [7,5,4,3,2,1,6,8] => [2,4,5,6,7,8,3,1] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [7,6,1,2,3,4,5,8] => [2,3,8,7,6,5,4,1] => [[.,[.,[[[[[.,.],.],.],.],.]]],.]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [7,6,1,2,5,4,3,8] => [2,3,8,7,4,5,6,1] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [8,5,4,2,3,1,6,7] => [7,6,1,3,2,4,5,8] => [2,3,8,6,7,5,4,1] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [8,5,3,2,4,1,6,7] => [7,6,1,4,2,3,5,8] => [2,3,8,5,7,6,4,1] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [7,6,1,4,3,2,5,8] => [2,3,8,5,6,7,4,1] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [8,3,4,2,5,1,6,7] => [7,6,1,5,2,4,3,8] => [2,3,8,4,7,5,6,1] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [8,4,2,3,5,1,6,7] => [7,6,1,5,3,2,4,8] => [2,3,8,4,6,7,5,1] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [7,6,1,5,4,3,2,8] => [2,3,8,4,5,6,7,1] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [7,6,3,2,1,4,5,8] => [2,3,6,7,8,5,4,1] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [8,5,3,2,1,4,6,7] => [7,6,4,1,2,3,5,8] => [2,3,5,8,7,6,4,1] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.]
[[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [8,5,2,3,1,4,6,7] => [7,6,4,1,3,2,5,8] => [2,3,5,8,6,7,4,1] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [7,6,4,2,1,3,5,8] => [2,3,5,7,8,6,4,1] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [7,6,4,3,1,2,5,8] => [2,3,5,6,8,7,4,1] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [7,6,4,3,2,1,5,8] => [2,3,5,6,7,8,4,1] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [7,6,5,1,2,3,4,8] => [2,3,4,8,7,6,5,1] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [7,6,5,1,2,4,3,8] => [2,3,4,8,7,5,6,1] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [7,6,5,1,3,2,4,8] => [2,3,4,8,6,7,5,1] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [8,3,2,4,1,5,6,7] => [7,6,5,1,4,2,3,8] => [2,3,4,8,5,7,6,1] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [7,6,5,1,4,3,2,8] => [2,3,4,8,5,6,7,1] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [7,6,5,2,1,4,3,8] => [2,3,4,7,8,5,6,1] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [7,6,5,3,1,2,4,8] => [2,3,4,6,8,7,5,1] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [7,6,5,3,2,1,4,8] => [2,3,4,6,7,8,5,1] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [7,6,5,4,1,2,3,8] => [2,3,4,5,8,7,6,1] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [7,6,5,4,1,3,2,8] => [2,3,4,5,8,6,7,1] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [7,6,5,4,2,1,3,8] => [2,3,4,5,7,8,6,1] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [7,6,5,4,3,1,2,8] => [2,3,4,5,6,8,7,1] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,8,1] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [.,[[[[[[[.,.],.],.],.],.],.],.]]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [8,1,2,3,4,5,7,6] => [1,8,7,6,5,4,2,3] => [.,[[[[[[.,.],.],.],.],.],[.,.]]]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [8,1,2,3,4,6,5,7] => [1,8,7,6,5,3,4,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [8,1,2,3,4,7,5,6] => [1,8,7,6,5,2,4,3] => [.,[[[[[.,.],.],.],.],[[.,.],.]]]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [8,1,2,3,4,7,6,5] => [1,8,7,6,5,2,3,4] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [8,1,2,3,5,4,6,7] => [1,8,7,6,4,5,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [6,7,4,5,3,2,1,8] => [8,1,2,3,5,4,7,6] => [1,8,7,6,4,5,2,3] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [7,5,4,6,3,2,1,8] => [8,1,2,3,6,4,5,7] => [1,8,7,6,3,5,4,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [7,4,5,6,3,2,1,8] => [8,1,2,3,6,5,4,7] => [1,8,7,6,3,4,5,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [8,1,2,3,7,4,5,6] => [1,8,7,6,2,5,4,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]]
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [6,4,5,7,3,2,1,8] => [8,1,2,3,7,5,4,6] => [1,8,7,6,2,4,5,3] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [8,1,2,3,7,6,5,4] => [1,8,7,6,2,3,4,5] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [8,1,2,4,3,5,6,7] => [1,8,7,5,6,4,3,2] => [.,[[[[[[.,.],.],[.,.]],.],.],.]]
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [6,7,5,3,4,2,1,8] => [8,1,2,4,3,5,7,6] => [1,8,7,5,6,4,2,3] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [8,1,2,4,3,6,5,7] => [1,8,7,5,6,3,4,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [8,1,2,4,3,7,6,5] => [1,8,7,5,6,2,3,4] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [8,1,2,5,3,4,6,7] => [1,8,7,4,6,5,3,2] => [.,[[[[[.,.],.],[[.,.],.]],.],.]]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [8,1,2,5,4,3,6,7] => [1,8,7,4,5,6,3,2] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [6,7,3,4,5,2,1,8] => [8,1,2,5,4,3,7,6] => [1,8,7,4,5,6,2,3] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [8,1,2,6,3,4,5,7] => [1,8,7,3,6,5,4,2] => [.,[[[[.,.],.],[[[.,.],.],.]],.]]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [7,4,3,5,6,2,1,8] => [8,1,2,6,5,3,4,7] => [1,8,7,3,4,6,5,2] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [7,3,4,5,6,2,1,8] => [8,1,2,6,5,4,3,7] => [1,8,7,3,4,5,6,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [8,1,2,7,3,4,5,6] => [1,8,7,2,6,5,4,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [8,1,2,7,3,4,6,5] => [1,8,7,2,6,5,3,4] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [6,4,5,3,7,2,1,8] => [8,1,2,7,3,5,4,6] => [1,8,7,2,6,4,5,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [8,1,2,7,3,6,4,5] => [1,8,7,2,6,3,5,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [4,5,6,3,7,2,1,8] => [8,1,2,7,3,6,5,4] => [1,8,7,2,6,3,4,5] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [6,5,3,4,7,2,1,8] => [8,1,2,7,4,3,5,6] => [1,8,7,2,5,6,4,3] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [5,6,3,4,7,2,1,8] => [8,1,2,7,4,3,6,5] => [1,8,7,2,5,6,3,4] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [6,3,4,5,7,2,1,8] => [8,1,2,7,5,4,3,6] => [1,8,7,2,4,5,6,3] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [8,1,2,7,6,3,4,5] => [1,8,7,2,3,6,5,4] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [4,5,3,6,7,2,1,8] => [8,1,2,7,6,3,5,4] => [1,8,7,2,3,6,4,5] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [5,3,4,6,7,2,1,8] => [8,1,2,7,6,4,3,5] => [1,8,7,2,3,5,6,4] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [4,3,5,6,7,2,1,8] => [8,1,2,7,6,5,3,4] => [1,8,7,2,3,4,6,5] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [8,1,2,7,6,5,4,3] => [1,8,7,2,3,4,5,6] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [8,1,3,2,4,5,6,7] => [1,8,6,7,5,4,3,2] => [.,[[[[[[.,.],[.,.]],.],.],.],.]]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [8,1,3,2,4,5,7,6] => [1,8,6,7,5,4,2,3] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [8,1,3,2,4,6,5,7] => [1,8,6,7,5,3,4,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [8,1,3,2,4,7,6,5] => [1,8,6,7,5,2,3,4] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [8,1,3,2,5,4,6,7] => [1,8,6,7,4,5,3,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [8,1,3,2,5,4,7,6] => [1,8,6,7,4,5,2,3] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [7,4,5,6,2,3,1,8] => [8,1,3,2,6,5,4,7] => [1,8,6,7,3,4,5,2] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [6,5,4,7,2,3,1,8] => [8,1,3,2,7,4,5,6] => [1,8,6,7,2,5,4,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [8,1,3,2,7,4,6,5] => [1,8,6,7,2,5,3,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [4,5,6,7,2,3,1,8] => [8,1,3,2,7,6,5,4] => [1,8,6,7,2,3,4,5] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [7,6,5,3,2,4,1,8] => [8,1,4,2,3,5,6,7] => [1,8,5,7,6,4,3,2] => [.,[[[[[.,.],[[.,.],.]],.],.],.]]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [8,1,4,2,3,7,5,6] => [1,8,5,7,6,2,4,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [8,1,4,2,3,7,6,5] => [1,8,5,7,6,2,3,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [8,1,4,3,2,5,6,7] => [1,8,5,6,7,4,3,2] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [8,1,4,3,2,7,6,5] => [1,8,5,6,7,2,3,4] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [7,6,4,3,2,5,1,8] => [8,1,5,2,3,4,6,7] => [1,8,4,7,6,5,3,2] => [.,[[[[.,.],[[[.,.],.],.]],.],.]]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [6,7,4,3,2,5,1,8] => [8,1,5,2,3,4,7,6] => [1,8,4,7,6,5,2,3] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [6,7,3,4,2,5,1,8] => [8,1,5,2,4,3,7,6] => [1,8,4,7,5,6,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [8,1,5,3,2,4,6,7] => [1,8,4,6,7,5,3,2] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [6,7,4,2,3,5,1,8] => [8,1,5,3,2,4,7,6] => [1,8,4,6,7,5,2,3] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [7,6,2,3,4,5,1,8] => [8,1,5,4,3,2,6,7] => [1,8,4,5,6,7,3,2] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [6,7,2,3,4,5,1,8] => [8,1,5,4,3,2,7,6] => [1,8,4,5,6,7,2,3] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [8,1,6,2,3,4,5,7] => [1,8,3,7,6,5,4,2] => [.,[[[.,.],[[[[.,.],.],.],.]],.]]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [7,4,5,3,2,6,1,8] => [8,1,6,2,3,5,4,7] => [1,8,3,7,6,4,5,2] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [7,5,3,4,2,6,1,8] => [8,1,6,2,4,3,5,7] => [1,8,3,7,5,6,4,2] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [7,4,3,5,2,6,1,8] => [8,1,6,2,5,3,4,7] => [1,8,3,7,4,6,5,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [7,3,4,5,2,6,1,8] => [8,1,6,2,5,4,3,7] => [1,8,3,7,4,5,6,2] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [7,5,4,2,3,6,1,8] => [8,1,6,3,2,4,5,7] => [1,8,3,6,7,5,4,2] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [7,4,5,2,3,6,1,8] => [8,1,6,3,2,5,4,7] => [1,8,3,6,7,4,5,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [8,1,6,4,2,3,5,7] => [1,8,3,5,7,6,4,2] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [7,5,2,3,4,6,1,8] => [8,1,6,4,3,2,5,7] => [1,8,3,5,6,7,4,2] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [7,4,3,2,5,6,1,8] => [8,1,6,5,2,3,4,7] => [1,8,3,4,7,6,5,2] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [7,4,2,3,5,6,1,8] => [8,1,6,5,3,2,4,7] => [1,8,3,4,6,7,5,2] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [8,1,6,5,4,3,2,7] => [1,8,3,4,5,6,7,2] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [8,1,7,2,3,4,5,6] => [1,8,2,7,6,5,4,3] => [.,[[.,.],[[[[[.,.],.],.],.],.]]]
[[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [6,4,5,3,2,7,1,8] => [8,1,7,2,3,5,4,6] => [1,8,2,7,6,4,5,3] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [8,1,7,2,3,6,4,5] => [1,8,2,7,6,3,5,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [4,5,6,3,2,7,1,8] => [8,1,7,2,3,6,5,4] => [1,8,2,7,6,3,4,5] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [8,1,7,2,4,3,6,5] => [1,8,2,7,5,6,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [6,4,3,5,2,7,1,8] => [8,1,7,2,5,3,4,6] => [1,8,2,7,4,6,5,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [8,1,7,2,5,4,3,6] => [1,8,2,7,4,5,6,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [8,1,7,2,6,3,4,5] => [1,8,2,7,3,6,5,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [8,1,7,2,6,3,5,4] => [1,8,2,7,3,6,4,5] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [8,1,7,2,6,4,3,5] => [1,8,2,7,3,5,6,4] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [8,1,7,2,6,5,3,4] => [1,8,2,7,3,4,6,5] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [8,1,7,2,6,5,4,3] => [1,8,2,7,3,4,5,6] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [6,5,4,2,3,7,1,8] => [8,1,7,3,2,4,5,6] => [1,8,2,6,7,5,4,3] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [6,4,5,2,3,7,1,8] => [8,1,7,3,2,5,4,6] => [1,8,2,6,7,4,5,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [4,5,6,2,3,7,1,8] => [8,1,7,3,2,6,5,4] => [1,8,2,6,7,3,4,5] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [8,1,7,4,2,3,5,6] => [1,8,2,5,7,6,4,3] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]]
[[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [5,6,3,2,4,7,1,8] => [8,1,7,4,2,3,6,5] => [1,8,2,5,7,6,3,4] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [6,5,2,3,4,7,1,8] => [8,1,7,4,3,2,5,6] => [1,8,2,5,6,7,4,3] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]]
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [5,6,2,3,4,7,1,8] => [8,1,7,4,3,2,6,5] => [1,8,2,5,6,7,3,4] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [6,4,3,2,5,7,1,8] => [8,1,7,5,2,3,4,6] => [1,8,2,4,7,6,5,3] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [6,3,4,2,5,7,1,8] => [8,1,7,5,2,4,3,6] => [1,8,2,4,7,5,6,3] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [8,1,7,5,3,2,4,6] => [1,8,2,4,6,7,5,3] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [6,3,2,4,5,7,1,8] => [8,1,7,5,4,2,3,6] => [1,8,2,4,5,7,6,3] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [6,2,3,4,5,7,1,8] => [8,1,7,5,4,3,2,6] => [1,8,2,4,5,6,7,3] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [8,1,7,6,2,3,4,5] => [1,8,2,3,7,6,5,4] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]]
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [4,5,3,2,6,7,1,8] => [8,1,7,6,2,3,5,4] => [1,8,2,3,7,6,4,5] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [5,3,4,2,6,7,1,8] => [8,1,7,6,2,4,3,5] => [1,8,2,3,7,5,6,4] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [5,4,2,3,6,7,1,8] => [8,1,7,6,3,2,4,5] => [1,8,2,3,6,7,5,4] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]]
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [5,2,3,4,6,7,1,8] => [8,1,7,6,4,3,2,5] => [1,8,2,3,5,6,7,4] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [8,1,7,6,5,2,3,4] => [1,8,2,3,4,7,6,5] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [8,1,7,6,5,2,4,3] => [1,8,2,3,4,7,5,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [4,2,3,5,6,7,1,8] => [8,1,7,6,5,3,2,4] => [1,8,2,3,4,6,7,5] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [8,1,7,6,5,4,2,3] => [1,8,2,3,4,5,7,6] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [8,1,7,6,5,4,3,2] => [1,8,2,3,4,5,6,7] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [8,2,1,3,4,5,6,7] => [1,7,8,6,5,4,3,2] => [.,[[[[[[.,[.,.]],.],.],.],.],.]]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [8,2,1,3,4,5,7,6] => [1,7,8,6,5,4,2,3] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [8,2,1,3,4,6,5,7] => [1,7,8,6,5,3,4,2] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [6,5,7,4,3,1,2,8] => [8,2,1,3,4,7,5,6] => [1,7,8,6,5,2,4,3] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,3,1,2,8] => [8,2,1,3,5,4,6,7] => [1,7,8,6,4,5,3,2] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [7,5,4,6,3,1,2,8] => [8,2,1,3,6,4,5,7] => [1,7,8,6,3,5,4,2] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [7,4,5,6,3,1,2,8] => [8,2,1,3,6,5,4,7] => [1,7,8,6,3,4,5,2] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]]
[[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [6,5,4,7,3,1,2,8] => [8,2,1,3,7,4,5,6] => [1,7,8,6,2,5,4,3] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [5,4,6,7,3,1,2,8] => [8,2,1,3,7,6,4,5] => [1,7,8,6,2,3,5,4] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [8,2,1,3,7,6,5,4] => [1,7,8,6,2,3,4,5] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [7,6,5,3,4,1,2,8] => [8,2,1,4,3,5,6,7] => [1,7,8,5,6,4,3,2] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [6,7,5,3,4,1,2,8] => [8,2,1,4,3,5,7,6] => [1,7,8,5,6,4,2,3] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [7,5,6,3,4,1,2,8] => [8,2,1,4,3,6,5,7] => [1,7,8,5,6,3,4,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [6,7,4,3,5,1,2,8] => [8,2,1,5,3,4,7,6] => [1,7,8,4,6,5,2,3] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [6,7,3,4,5,1,2,8] => [8,2,1,5,4,3,7,6] => [1,7,8,4,5,6,2,3] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [7,5,4,3,6,1,2,8] => [8,2,1,6,3,4,5,7] => [1,7,8,3,6,5,4,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [7,4,5,3,6,1,2,8] => [8,2,1,6,3,5,4,7] => [1,7,8,3,6,4,5,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [7,5,3,4,6,1,2,8] => [8,2,1,6,4,3,5,7] => [1,7,8,3,5,6,4,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [7,3,4,5,6,1,2,8] => [8,2,1,6,5,4,3,7] => [1,7,8,3,4,5,6,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [6,4,5,3,7,1,2,8] => [8,2,1,7,3,5,4,6] => [1,7,8,2,6,4,5,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [8,2,1,7,4,3,6,5] => [1,7,8,2,5,6,3,4] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [6,3,4,5,7,1,2,8] => [8,2,1,7,5,4,3,6] => [1,7,8,2,4,5,6,3] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [5,4,3,6,7,1,2,8] => [8,2,1,7,6,3,4,5] => [1,7,8,2,3,6,5,4] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [4,5,3,6,7,1,2,8] => [8,2,1,7,6,3,5,4] => [1,7,8,2,3,6,4,5] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [5,3,4,6,7,1,2,8] => [8,2,1,7,6,4,3,5] => [1,7,8,2,3,5,6,4] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [8,2,1,7,6,5,4,3] => [1,7,8,2,3,4,5,6] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [8,3,1,2,4,5,6,7] => [1,6,8,7,5,4,3,2] => [.,[[[[[.,[[.,.],.]],.],.],.],.]]
[[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [7,5,6,4,2,1,3,8] => [8,3,1,2,4,6,5,7] => [1,6,8,7,5,3,4,2] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]]
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,2,1,3,8] => [8,3,1,2,4,7,5,6] => [1,6,8,7,5,2,4,3] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [5,6,7,4,2,1,3,8] => [8,3,1,2,4,7,6,5] => [1,6,8,7,5,2,3,4] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,2,1,3,8] => [8,3,1,2,5,4,6,7] => [1,6,8,7,4,5,3,2] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [8,3,1,2,6,4,5,7] => [1,6,8,7,3,5,4,2] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [7,4,5,6,2,1,3,8] => [8,3,1,2,6,5,4,7] => [1,6,8,7,3,4,5,2] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]]
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [6,5,4,7,2,1,3,8] => [8,3,1,2,7,4,5,6] => [1,6,8,7,2,5,4,3] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [5,6,4,7,2,1,3,8] => [8,3,1,2,7,4,6,5] => [1,6,8,7,2,5,3,4] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [5,4,6,7,2,1,3,8] => [8,3,1,2,7,6,4,5] => [1,6,8,7,2,3,5,4] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [4,5,6,7,2,1,3,8] => [8,3,1,2,7,6,5,4] => [1,6,8,7,2,3,4,5] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [8,3,2,1,4,5,6,7] => [1,6,7,8,5,4,3,2] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [7,5,6,4,1,2,3,8] => [8,3,2,1,4,6,5,7] => [1,6,7,8,5,3,4,2] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [8,3,2,1,4,7,6,5] => [1,6,7,8,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,1,2,3,8] => [8,3,2,1,5,4,6,7] => [1,6,7,8,4,5,3,2] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,1,2,3,8] => [8,3,2,1,6,4,5,7] => [1,6,7,8,3,5,4,2] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [8,3,2,1,6,5,4,7] => [1,6,7,8,3,4,5,2] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [8,3,2,1,7,4,6,5] => [1,6,7,8,2,5,3,4] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [6,4,5,7,1,2,3,8] => [8,3,2,1,7,5,4,6] => [1,6,7,8,2,4,5,3] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [8,3,2,1,7,6,4,5] => [1,6,7,8,2,3,5,4] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [8,3,2,1,7,6,5,4] => [1,6,7,8,2,3,4,5] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [8,4,1,2,3,5,6,7] => [1,5,8,7,6,4,3,2] => [.,[[[[.,[[[.,.],.],.]],.],.],.]]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [7,5,6,3,2,1,4,8] => [8,4,1,2,3,6,5,7] => [1,5,8,7,6,3,4,2] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]]
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [6,5,7,3,2,1,4,8] => [8,4,1,2,3,7,5,6] => [1,5,8,7,6,2,4,3] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [5,6,7,3,2,1,4,8] => [8,4,1,2,3,7,6,5] => [1,5,8,7,6,2,3,4] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [6,7,5,2,3,1,4,8] => [8,4,1,3,2,5,7,6] => [1,5,8,6,7,4,2,3] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [7,5,6,2,3,1,4,8] => [8,4,1,3,2,6,5,7] => [1,5,8,6,7,3,4,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [6,7,5,3,1,2,4,8] => [8,4,2,1,3,5,7,6] => [1,5,7,8,6,4,2,3] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [7,5,6,3,1,2,4,8] => [8,4,2,1,3,6,5,7] => [1,5,7,8,6,3,4,2] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [6,5,7,3,1,2,4,8] => [8,4,2,1,3,7,5,6] => [1,5,7,8,6,2,4,3] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [8,4,2,1,3,7,6,5] => [1,5,7,8,6,2,3,4] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [6,7,5,2,1,3,4,8] => [8,4,3,1,2,5,7,6] => [1,5,6,8,7,4,2,3] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]]
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [8,4,3,1,2,7,6,5] => [1,5,6,8,7,2,3,4] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [8,4,3,2,1,5,6,7] => [1,5,6,7,8,4,3,2] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [8,4,3,2,1,5,7,6] => [1,5,6,7,8,4,2,3] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [8,4,3,2,1,6,5,7] => [1,5,6,7,8,3,4,2] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [8,4,3,2,1,7,5,6] => [1,5,6,7,8,2,4,3] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [8,4,3,2,1,7,6,5] => [1,5,6,7,8,2,3,4] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [7,6,4,3,2,1,5,8] => [8,5,1,2,3,4,6,7] => [1,4,8,7,6,5,3,2] => [.,[[[.,[[[[.,.],.],.],.]],.],.]]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [7,6,4,2,3,1,5,8] => [8,5,1,3,2,4,6,7] => [1,4,8,6,7,5,3,2] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]]
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [6,7,4,2,3,1,5,8] => [8,5,1,3,2,4,7,6] => [1,4,8,6,7,5,2,3] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [7,6,3,2,4,1,5,8] => [8,5,1,4,2,3,6,7] => [1,4,8,5,7,6,3,2] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [6,7,3,2,4,1,5,8] => [8,5,1,4,2,3,7,6] => [1,4,8,5,7,6,2,3] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [6,7,2,3,4,1,5,8] => [8,5,1,4,3,2,7,6] => [1,4,8,5,6,7,2,3] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [8,5,2,1,3,4,6,7] => [1,4,7,8,6,5,3,2] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]]
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [7,6,3,4,1,2,5,8] => [8,5,2,1,4,3,6,7] => [1,4,7,8,5,6,3,2] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [6,7,3,4,1,2,5,8] => [8,5,2,1,4,3,7,6] => [1,4,7,8,5,6,2,3] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [8,5,3,1,2,4,6,7] => [1,4,6,8,7,5,3,2] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [7,6,4,1,2,3,5,8] => [8,5,3,2,1,4,6,7] => [1,4,6,7,8,5,3,2] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [8,5,4,1,2,3,6,7] => [1,4,5,8,7,6,3,2] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [7,6,2,3,1,4,5,8] => [8,5,4,1,3,2,6,7] => [1,4,5,8,6,7,3,2] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]]
[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [6,7,2,1,3,4,5,8] => [8,5,4,3,1,2,7,6] => [1,4,5,6,8,7,2,3] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [8,5,4,3,2,1,6,7] => [1,4,5,6,7,8,3,2] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [8,5,4,3,2,1,7,6] => [1,4,5,6,7,8,2,3] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [8,6,1,2,3,4,5,7] => [1,3,8,7,6,5,4,2] => [.,[[.,[[[[[.,.],.],.],.],.]],.]]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [7,5,3,4,2,1,6,8] => [8,6,1,2,4,3,5,7] => [1,3,8,7,5,6,4,2] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [7,4,3,5,2,1,6,8] => [8,6,1,2,5,3,4,7] => [1,3,8,7,4,6,5,2] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [7,3,4,5,2,1,6,8] => [8,6,1,2,5,4,3,7] => [1,3,8,7,4,5,6,2] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [7,4,5,2,3,1,6,8] => [8,6,1,3,2,5,4,7] => [1,3,8,6,7,4,5,2] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [8,6,1,4,2,3,5,7] => [1,3,8,5,7,6,4,2] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [7,5,2,3,4,1,6,8] => [8,6,1,4,3,2,5,7] => [1,3,8,5,6,7,4,2] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [7,4,2,3,5,1,6,8] => [8,6,1,5,3,2,4,7] => [1,3,8,4,6,7,5,2] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [8,6,1,5,4,3,2,7] => [1,3,8,4,5,6,7,2] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [7,5,4,3,1,2,6,8] => [8,6,2,1,3,4,5,7] => [1,3,7,8,6,5,4,2] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [7,5,3,4,1,2,6,8] => [8,6,2,1,4,3,5,7] => [1,3,7,8,5,6,4,2] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [7,4,3,5,1,2,6,8] => [8,6,2,1,5,3,4,7] => [1,3,7,8,4,6,5,2] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [7,3,4,5,1,2,6,8] => [8,6,2,1,5,4,3,7] => [1,3,7,8,4,5,6,2] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [7,5,4,2,1,3,6,8] => [8,6,3,1,2,4,5,7] => [1,3,6,8,7,5,4,2] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]]
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [7,4,5,2,1,3,6,8] => [8,6,3,1,2,5,4,7] => [1,3,6,8,7,4,5,2] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [7,5,4,1,2,3,6,8] => [8,6,3,2,1,4,5,7] => [1,3,6,7,8,5,4,2] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [7,5,3,2,1,4,6,8] => [8,6,4,1,2,3,5,7] => [1,3,5,8,7,6,4,2] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [8,6,4,2,1,3,5,7] => [1,3,5,7,8,6,4,2] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [7,5,2,1,3,4,6,8] => [8,6,4,3,1,2,5,7] => [1,3,5,6,8,7,4,2] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [8,6,4,3,2,1,5,7] => [1,3,5,6,7,8,4,2] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [8,6,5,1,2,3,4,7] => [1,3,4,8,7,6,5,2] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]]
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [7,2,3,4,1,5,6,8] => [8,6,5,1,4,3,2,7] => [1,3,4,8,5,6,7,2] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [8,6,5,3,2,1,4,7] => [1,3,4,6,7,8,5,2] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [8,6,5,4,1,2,3,7] => [1,3,4,5,8,7,6,2] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]]
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [7,2,3,1,4,5,6,8] => [8,6,5,4,1,3,2,7] => [1,3,4,5,8,6,7,2] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [8,6,5,4,2,1,3,7] => [1,3,4,5,7,8,6,2] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [8,6,5,4,3,1,2,7] => [1,3,4,5,6,8,7,2] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [8,6,5,4,3,2,1,7] => [1,3,4,5,6,7,8,2] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [8,7,1,2,3,4,5,6] => [1,2,8,7,6,5,4,3] => [.,[.,[[[[[[.,.],.],.],.],.],.]]]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [8,7,1,2,3,6,4,5] => [1,2,8,7,6,3,5,4] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [8,7,1,2,3,6,5,4] => [1,2,8,7,6,3,4,5] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [8,7,1,2,4,3,5,6] => [1,2,8,7,5,6,4,3] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [5,6,3,4,2,1,7,8] => [8,7,1,2,4,3,6,5] => [1,2,8,7,5,6,3,4] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [6,4,3,5,2,1,7,8] => [8,7,1,2,5,3,4,6] => [1,2,8,7,4,6,5,3] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]]
[[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [6,3,4,5,2,1,7,8] => [8,7,1,2,5,4,3,6] => [1,2,8,7,4,5,6,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [8,7,1,2,6,3,4,5] => [1,2,8,7,3,6,5,4] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [4,3,5,6,2,1,7,8] => [8,7,1,2,6,5,3,4] => [1,2,8,7,3,4,6,5] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]]
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [8,7,1,2,6,5,4,3] => [1,2,8,7,3,4,5,6] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [6,5,4,2,3,1,7,8] => [8,7,1,3,2,4,5,6] => [1,2,8,6,7,5,4,3] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]]
[[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [5,6,4,2,3,1,7,8] => [8,7,1,3,2,4,6,5] => [1,2,8,6,7,5,3,4] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [5,4,6,2,3,1,7,8] => [8,7,1,3,2,6,4,5] => [1,2,8,6,7,3,5,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [6,5,2,3,4,1,7,8] => [8,7,1,4,3,2,5,6] => [1,2,8,5,6,7,4,3] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [5,6,2,3,4,1,7,8] => [8,7,1,4,3,2,6,5] => [1,2,8,5,6,7,3,4] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [6,4,3,2,5,1,7,8] => [8,7,1,5,2,3,4,6] => [1,2,8,4,7,6,5,3] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [6,4,2,3,5,1,7,8] => [8,7,1,5,3,2,4,6] => [1,2,8,4,6,7,5,3] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [6,2,3,4,5,1,7,8] => [8,7,1,5,4,3,2,6] => [1,2,8,4,5,6,7,3] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [8,7,1,6,2,3,4,5] => [1,2,8,3,7,6,5,4] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [8,7,1,6,2,3,5,4] => [1,2,8,3,7,6,4,5] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [8,7,1,6,2,5,3,4] => [1,2,8,3,7,4,6,5] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [8,7,1,6,2,5,4,3] => [1,2,8,3,7,4,5,6] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[[[.,[[[.,.],[[.,.],.]],.]],.],.] => [4,5,2,3,6,1,7,8] => [8,7,1,6,3,2,5,4] => [1,2,8,3,6,7,4,5] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [5,3,2,4,6,1,7,8] => [8,7,1,6,4,2,3,5] => [1,2,8,3,5,7,6,4] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [8,7,1,6,4,3,2,5] => [1,2,8,3,5,6,7,4] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [8,7,1,6,5,2,3,4] => [1,2,8,3,4,7,6,5] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]]
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [4,2,3,5,6,1,7,8] => [8,7,1,6,5,3,2,4] => [1,2,8,3,4,6,7,5] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [8,7,1,6,5,4,2,3] => [1,2,8,3,4,5,7,6] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [8,7,1,6,5,4,3,2] => [1,2,8,3,4,5,6,7] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [8,7,2,1,3,4,5,6] => [1,2,7,8,6,5,4,3] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [8,7,2,1,3,4,6,5] => [1,2,7,8,6,5,3,4] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [6,4,5,3,1,2,7,8] => [8,7,2,1,3,5,4,6] => [1,2,7,8,6,4,5,3] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [8,7,2,1,3,6,4,5] => [1,2,7,8,6,3,5,4] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [4,5,6,3,1,2,7,8] => [8,7,2,1,3,6,5,4] => [1,2,7,8,6,3,4,5] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [6,5,3,4,1,2,7,8] => [8,7,2,1,4,3,5,6] => [1,2,7,8,5,6,4,3] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [8,7,2,1,4,3,6,5] => [1,2,7,8,5,6,3,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [6,3,4,5,1,2,7,8] => [8,7,2,1,5,4,3,6] => [1,2,7,8,4,5,6,3] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [8,7,2,1,6,3,4,5] => [1,2,7,8,3,6,5,4] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [4,5,3,6,1,2,7,8] => [8,7,2,1,6,3,5,4] => [1,2,7,8,3,6,4,5] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [5,3,4,6,1,2,7,8] => [8,7,2,1,6,4,3,5] => [1,2,7,8,3,5,6,4] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [4,3,5,6,1,2,7,8] => [8,7,2,1,6,5,3,4] => [1,2,7,8,3,4,6,5] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [8,7,2,1,6,5,4,3] => [1,2,7,8,3,4,5,6] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [8,7,3,1,2,4,6,5] => [1,2,6,8,7,5,3,4] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [5,4,6,2,1,3,7,8] => [8,7,3,1,2,6,4,5] => [1,2,6,8,7,3,5,4] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]]
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [4,5,6,2,1,3,7,8] => [8,7,3,1,2,6,5,4] => [1,2,6,8,7,3,4,5] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [8,7,3,2,1,4,5,6] => [1,2,6,7,8,5,4,3] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]]
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [5,6,4,1,2,3,7,8] => [8,7,3,2,1,4,6,5] => [1,2,6,7,8,5,3,4] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [6,4,5,1,2,3,7,8] => [8,7,3,2,1,5,4,6] => [1,2,6,7,8,4,5,3] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]
[[[[[.,.],.],[[.,[.,.]],.]],.],.] => [5,4,6,1,2,3,7,8] => [8,7,3,2,1,6,4,5] => [1,2,6,7,8,3,5,4] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [8,7,3,2,1,6,5,4] => [1,2,6,7,8,3,4,5] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [6,5,3,2,1,4,7,8] => [8,7,4,1,2,3,5,6] => [1,2,5,8,7,6,4,3] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [8,7,4,1,2,3,6,5] => [1,2,5,8,7,6,3,4] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [6,5,2,3,1,4,7,8] => [8,7,4,1,3,2,5,6] => [1,2,5,8,6,7,4,3] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]]
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [5,6,2,3,1,4,7,8] => [8,7,4,1,3,2,6,5] => [1,2,5,8,6,7,3,4] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [5,6,3,1,2,4,7,8] => [8,7,4,2,1,3,6,5] => [1,2,5,7,8,6,3,4] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [6,5,2,1,3,4,7,8] => [8,7,4,3,1,2,5,6] => [1,2,5,6,8,7,4,3] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]]
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [5,6,2,1,3,4,7,8] => [8,7,4,3,1,2,6,5] => [1,2,5,6,8,7,3,4] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [6,5,1,2,3,4,7,8] => [8,7,4,3,2,1,5,6] => [1,2,5,6,7,8,4,3] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [5,6,1,2,3,4,7,8] => [8,7,4,3,2,1,6,5] => [1,2,5,6,7,8,3,4] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [8,7,5,1,2,3,4,6] => [1,2,4,8,7,6,5,3] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [6,2,3,4,1,5,7,8] => [8,7,5,1,4,3,2,6] => [1,2,4,8,5,6,7,3] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [8,7,5,2,1,3,4,6] => [1,2,4,7,8,6,5,3] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]]
[[[[[.,.],[[.,.],.]],[.,.]],.],.] => [6,3,4,1,2,5,7,8] => [8,7,5,2,1,4,3,6] => [1,2,4,7,8,5,6,3] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [8,7,5,3,1,2,4,6] => [1,2,4,6,8,7,5,3] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [8,7,5,3,2,1,4,6] => [1,2,4,6,7,8,5,3] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [8,7,5,4,1,2,3,6] => [1,2,4,5,8,7,6,3] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]]
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [6,2,3,1,4,5,7,8] => [8,7,5,4,1,3,2,6] => [1,2,4,5,8,6,7,3] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [8,7,5,4,2,1,3,6] => [1,2,4,5,7,8,6,3] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [6,2,1,3,4,5,7,8] => [8,7,5,4,3,1,2,6] => [1,2,4,5,6,8,7,3] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [8,7,5,4,3,2,1,6] => [1,2,4,5,6,7,8,3] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [8,7,6,1,2,3,4,5] => [1,2,3,8,7,6,5,4] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [8,7,6,1,2,3,5,4] => [1,2,3,8,7,6,4,5] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [8,7,6,1,2,4,3,5] => [1,2,3,8,7,5,6,4] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [8,7,6,1,2,5,3,4] => [1,2,3,8,7,4,6,5] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [8,7,6,1,2,5,4,3] => [1,2,3,8,7,4,5,6] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [8,7,6,1,3,2,4,5] => [1,2,3,8,6,7,5,4] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [8,7,6,1,3,2,5,4] => [1,2,3,8,6,7,4,5] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [8,7,6,1,4,2,3,5] => [1,2,3,8,5,7,6,4] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [8,7,6,1,4,3,2,5] => [1,2,3,8,5,6,7,4] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [8,7,6,1,5,2,3,4] => [1,2,3,8,4,7,6,5] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [8,7,6,1,5,2,4,3] => [1,2,3,8,4,7,5,6] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [8,7,6,1,5,3,2,4] => [1,2,3,8,4,6,7,5] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [8,7,6,1,5,4,2,3] => [1,2,3,8,4,5,7,6] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [8,7,6,1,5,4,3,2] => [1,2,3,8,4,5,6,7] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [8,7,6,2,1,3,4,5] => [1,2,3,7,8,6,5,4] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]]
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [4,5,3,1,2,6,7,8] => [8,7,6,2,1,3,5,4] => [1,2,3,7,8,6,4,5] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [5,3,4,1,2,6,7,8] => [8,7,6,2,1,4,3,5] => [1,2,3,7,8,5,6,4] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [4,3,5,1,2,6,7,8] => [8,7,6,2,1,5,3,4] => [1,2,3,7,8,4,6,5] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [8,7,6,2,1,5,4,3] => [1,2,3,7,8,4,5,6] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [8,7,6,3,1,2,4,5] => [1,2,3,6,8,7,5,4] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [4,5,2,1,3,6,7,8] => [8,7,6,3,1,2,5,4] => [1,2,3,6,8,7,4,5] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [8,7,6,3,2,1,4,5] => [1,2,3,6,7,8,5,4] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [8,7,6,3,2,1,5,4] => [1,2,3,6,7,8,4,5] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [8,7,6,4,1,2,3,5] => [1,2,3,5,8,7,6,4] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [8,7,6,4,1,3,2,5] => [1,2,3,5,8,6,7,4] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [8,7,6,4,2,1,3,5] => [1,2,3,5,7,8,6,4] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [8,7,6,4,3,1,2,5] => [1,2,3,5,6,8,7,4] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [8,7,6,4,3,2,1,5] => [1,2,3,5,6,7,8,4] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [8,7,6,5,1,2,3,4] => [1,2,3,4,8,7,6,5] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [8,7,6,5,1,2,4,3] => [1,2,3,4,8,7,5,6] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [8,7,6,5,1,3,2,4] => [1,2,3,4,8,6,7,5] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [8,7,6,5,1,4,2,3] => [1,2,3,4,8,5,7,6] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [8,7,6,5,1,4,3,2] => [1,2,3,4,8,5,6,7] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [8,7,6,5,2,1,3,4] => [1,2,3,4,7,8,6,5] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [8,7,6,5,2,1,4,3] => [1,2,3,4,7,8,5,6] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [8,7,6,5,3,1,2,4] => [1,2,3,4,6,8,7,5] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [8,7,6,5,3,2,1,4] => [1,2,3,4,6,7,8,5] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [8,7,6,5,4,1,2,3] => [1,2,3,4,5,8,7,6] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [8,7,6,5,4,1,3,2] => [1,2,3,4,5,8,6,7] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [8,7,6,5,4,2,1,3] => [1,2,3,4,5,7,8,6] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,8,7] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8] => [9,8,7,6,5,4,3,1,2] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [1,2,3,4,5,6,9,8,7] => [9,8,7,6,5,4,1,2,3] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [1,2,3,4,5,9,8,7,6] => [9,8,7,6,5,1,2,3,4] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [1,2,3,4,9,8,7,6,5] => [9,8,7,6,1,2,3,4,5] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [1,2,3,9,8,7,6,5,4] => [9,8,7,1,2,3,4,5,6] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [1,2,9,8,7,6,5,4,3] => [9,8,1,2,3,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,3,2] => [9,1,2,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,10,9] => [10,9,8,7,6,5,4,3,1,2] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [9,7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,7,9] => [9,8,7,6,5,4,2,3,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,10,9,8] => [10,9,8,7,6,5,4,1,2,3] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [8,9,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,9,8] => [9,8,7,6,5,3,4,1,2] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [1,2,3,4,5,6,10,9,8,7] => [10,9,8,7,6,5,1,2,3,4] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]
[.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [7,8,9,5,6,4,3,2,1] => [1,2,3,4,6,5,9,8,7] => [9,8,7,6,4,5,1,2,3] => [[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [1,2,3,4,5,10,9,8,7,6] => [10,9,8,7,6,1,2,3,4,5] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]
[.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [6,7,8,9,4,5,3,2,1] => [1,2,3,5,4,9,8,7,6] => [9,8,7,5,6,1,2,3,4] => [[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]]
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [1,2,3,4,10,9,8,7,6,5] => [10,9,8,7,1,2,3,4,5,6] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [5,6,7,8,9,3,4,2,1] => [1,2,4,3,9,8,7,6,5] => [9,8,6,7,1,2,3,4,5] => [[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [1,2,3,10,9,8,7,6,5,4] => [10,9,8,1,2,3,4,5,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [4,5,6,7,8,9,2,3,1] => [1,3,2,9,8,7,6,5,4] => [9,7,8,1,2,3,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [1,2,10,9,8,7,6,5,4,3] => [10,9,1,2,3,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,1,2] => [2,1,9,8,7,6,5,4,3] => [8,9,1,2,3,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [1,10,9,8,7,6,5,4,3,2] => [10,1,2,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [1,2,3,4,5,6,9,7,8] => [9,8,7,6,5,4,1,3,2] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [1,9,2,3,4,5,6,7,8] => [9,1,8,7,6,5,4,3,2] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [8,7,6,4,5,9,3,2,1] => [1,2,3,9,5,4,6,7,8] => [9,8,7,1,5,6,4,3,2] => [[[[.,.],.],.],[[[[.,[.,.]],.],.],.]]
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [8,7,6,5,4,2,3,9,1] => [1,9,3,2,4,5,6,7,8] => [9,1,7,8,6,5,4,3,2] => [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [1,10,2,3,4,5,6,7,8,9] => [10,1,9,8,7,6,5,4,3,2] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [10,1,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7,10,9] => [9,10,7,8,5,6,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [11,12,9,10,7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7,10,9,12,11] => [11,12,9,10,7,8,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,9,1] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,10,1] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [8,7,6,5,4,3,1,2,9] => [2,3,4,5,6,7,9,8,1] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,2,3] => [9,1,2,3,4,5,6,8,7] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,11,1] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,1,2,10] => [2,3,4,5,6,7,8,10,9,1] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [8,7,6,5,4,2,1,3,9] => [2,3,4,5,6,8,9,7,1] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [9,2,3,1,4,5,6,7,8] => [8,7,6,5,4,1,3,2,9] => [2,3,4,5,6,9,7,8,1] => [[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [4,2,3,5,6,7,8,9,1] => [1,9,8,7,6,5,3,2,4] => [9,1,2,3,4,5,7,8,6] => [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [1,9,8,7,6,5,2,4,3] => [9,1,2,3,4,5,8,6,7] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [1,10,9,8,7,6,5,4,2,3] => [10,1,2,3,4,5,6,7,9,8] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [1,11,10,9,8,7,6,5,4,3,2] => [11,1,2,3,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,9,8] => [3,4,5,6,7,8,9,1,2] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [7,8,9,1,2,3,4,5,6] => [6,5,4,3,2,1,9,8,7] => [4,5,6,7,8,9,1,2,3] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [6,7,8,9,1,2,3,4,5] => [5,4,3,2,1,9,8,7,6] => [5,6,7,8,9,1,2,3,4] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [5,6,7,8,9,1,2,3,4] => [4,3,2,1,9,8,7,6,5] => [6,7,8,9,1,2,3,4,5] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [4,5,6,7,8,9,1,2,3] => [3,2,1,9,8,7,6,5,4] => [7,8,9,1,2,3,4,5,6] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,8,9] => [3,4,5,6,7,8,9,2,1] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1,10,9] => [3,4,5,6,7,8,9,10,1,2] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [8,7,9,1,2,3,4,5,6] => [6,5,4,3,2,1,9,7,8] => [4,5,6,7,8,9,1,3,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [8,9,10,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,10,9,8] => [4,5,6,7,8,9,10,1,2,3] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [7,8,9,10,1,2,3,4,5,6] => [6,5,4,3,2,1,10,9,8,7] => [5,6,7,8,9,10,1,2,3,4] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,1,2,3,4,5] => [5,4,3,2,1,10,9,8,7,6] => [6,7,8,9,10,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [5,6,7,8,9,10,1,2,3,4] => [4,3,2,1,10,9,8,7,6,5] => [7,8,9,10,1,2,3,4,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [4,5,6,7,8,9,10,1,2,3] => [3,2,1,10,9,8,7,6,5,4] => [8,9,10,1,2,3,4,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,10,1,2] => [2,1,10,9,8,7,6,5,4,3] => [9,10,1,2,3,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,9] => [8,9,7,6,5,4,3,2,1] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,8,7] => [1,9,8,7,6,5,4,2,3] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [8,9,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,9,8] => [8,9,7,6,5,4,3,1,2] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,9,10] => [9,10,8,7,6,5,4,3,2,1] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [11,1,2,3,4,5,6,7,8,9,10] => [1,11,10,9,8,7,6,5,4,3,2] => [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [10,1,2,3,4,5,6,7,9,8] => [1,10,9,8,7,6,5,4,2,3] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [9,1,2,3,4,5,8,6,7] => [1,9,8,7,6,5,2,4,3] => [.,[[[[[[.,.],.],.],.],.],[[.,.],.]]]
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [8,7,9,6,5,4,3,1,2] => [2,1,3,4,5,6,9,7,8] => [8,9,7,6,5,4,1,3,2] => [[[[[[.,[.,.]],.],.],.],.],[[.,.],.]]
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [9,7,8,6,5,4,3,1,2] => [2,1,3,4,5,6,8,7,9] => [8,9,7,6,5,4,2,3,1] => [[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [9,10,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,10,9] => [9,10,8,7,6,5,4,3,1,2] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [11,10,9,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,9,10,11] => [10,11,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [1,10,2,9,3,8,4,7,5,6] => [10,1,9,2,8,3,7,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]] => [8,9,6,7,4,5,2,3,10,1] => [1,10,3,2,5,4,7,6,9,8] => [10,1,8,9,6,7,4,5,2,3] => [[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [9,8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,8,9] => [3,9,8,7,6,5,4,2,1] => [[[.,[[[[[[.,.],.],.],.],.],.]],.],.]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7,9] => [2,9,8,7,6,5,4,3,1] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => [3,2,1,4,5,6,7,8,9] => [7,8,9,6,5,4,3,2,1] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,7,8,10] => [2,10,9,8,7,6,5,4,3,1] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [9,8,1,2,3,4,5,6,7] => [1,2,9,8,7,6,5,4,3] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [9,8,7,1,2,3,4,5,6] => [1,2,3,9,8,7,6,5,4] => [.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [9,8,7,6,1,2,3,4,5] => [1,2,3,4,9,8,7,6,5] => [.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [9,8,7,6,5,1,2,3,4] => [1,2,3,4,5,9,8,7,6] => [.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [9,8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,9,8,7] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,9,8] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [10,9,1,2,3,4,5,6,7,8] => [1,2,10,9,8,7,6,5,4,3] => [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [10,9,8,1,2,3,4,5,6,7] => [1,2,3,10,9,8,7,6,5,4] => [.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [10,9,8,7,1,2,3,4,5,6] => [1,2,3,4,10,9,8,7,6,5] => [.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [10,9,8,7,6,1,2,3,4,5] => [1,2,3,4,5,10,9,8,7,6] => [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [10,9,8,7,6,5,1,2,3,4] => [1,2,3,4,5,6,10,9,8,7] => [.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [4,3,1,2,5,6,7,8,9] => [9,8,7,6,5,2,1,3,4] => [1,2,3,4,5,8,9,7,6] => [.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,7,10,9,8] => [.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [9,8,7,6,5,4,2,1,3] => [1,2,3,4,5,6,8,9,7] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8,10,9] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] => [9,8,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,8,9] => [9,8,7,6,5,3,4,2,1] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.]
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [9,8,7,5,6,4,3,2,1] => [1,2,3,4,6,5,7,8,9] => [9,8,7,6,4,5,3,2,1] => [[[[[[[[.,.],.],.],.],[.,.]],.],.],.]
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,4,5,3,2,1] => [1,2,3,5,4,6,7,8,9] => [9,8,7,5,6,4,3,2,1] => [[[[[[[[.,.],.],.],[.,.]],.],.],.],.]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,8,9] => [9,7,8,6,5,4,3,2,1] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] => [10,8,9,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8,10] => [10,9,8,7,6,5,4,2,3,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]
[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,5,6,4,3,2,1] => [1,2,3,4,6,5,7,8,9,10] => [10,9,8,7,5,6,4,3,2,1] => [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]
[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,4,5,3,2,1] => [1,2,3,5,4,6,7,8,9,10] => [10,9,8,6,7,5,4,3,2,1] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,8,9,10] => [10,8,9,7,6,5,4,3,2,1] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [10,8,9,6,7,4,5,2,3,1] => [1,3,2,5,4,7,6,9,8,10] => [10,8,9,6,7,4,5,2,3,1] => [[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [9,2,3,4,5,6,7,8,1] => [1,8,7,6,5,4,3,2,9] => [9,2,3,4,5,6,7,8,1] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [11,10,9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8,9,11,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [8,2,1,3,4,5,6,7,9] => [9,7,6,5,4,3,1,2,8] => [1,3,4,5,6,7,9,8,2] => [.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [8,2,3,4,5,6,7,9,1] => [1,9,7,6,5,4,3,2,8] => [9,1,3,4,5,6,7,8,2] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [8,9,2,3,4,5,6,7,1] => [1,7,6,5,4,3,2,9,8] => [9,3,4,5,6,7,8,1,2] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [10,2,3,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,3,2,10] => [10,2,3,4,5,6,7,8,9,1] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [4,2,1,3,5,6,7,8,9] => [9,8,7,6,5,3,1,2,4] => [1,2,3,4,5,7,9,8,6] => [.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]]
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [5,3,2,1,4,6,7,8,9] => [9,8,7,6,4,1,2,3,5] => [1,2,3,4,6,9,8,7,5] => [.,[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]]
[[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.] => [6,4,3,2,1,5,7,8,9] => [9,8,7,5,1,2,3,4,6] => [1,2,3,5,9,8,7,6,4] => [.,[.,[.,[[.,[[[[.,.],.],.],.]],.]]]]
[[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.] => [7,5,4,3,2,1,6,8,9] => [9,8,6,1,2,3,4,5,7] => [1,2,4,9,8,7,6,5,3] => [.,[.,[[.,[[[[[.,.],.],.],.],.]],.]]]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [8,6,5,4,3,2,1,7,9] => [9,7,1,2,3,4,5,6,8] => [1,3,9,8,7,6,5,4,2] => [.,[[.,[[[[[[.,.],.],.],.],.],.]],.]]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [1,9,2,8,7,6,5,4,3] => [9,1,8,2,3,4,5,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [9,1,8,7,6,5,4,3,2] => [1,9,2,3,4,5,6,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [9,8,7,6,5,4,1,3,2] => [1,2,3,4,5,6,9,7,8] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [2,3,4,5,1,6,7,8,9] => [9,8,7,6,1,5,4,3,2] => [1,2,3,4,9,5,6,7,8] => [.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [9,8,1,7,6,5,4,3,2] => [1,2,9,3,4,5,6,7,8] => [.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [4,2,3,1,5,6,7,8,9] => [9,8,7,6,5,1,3,2,4] => [1,2,3,4,5,9,7,8,6] => [.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [5,2,3,4,1,6,7,8,9] => [9,8,7,6,1,4,3,2,5] => [1,2,3,4,9,6,7,8,5] => [.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [6,2,3,4,5,1,7,8,9] => [9,8,7,1,5,4,3,2,6] => [1,2,3,9,5,6,7,8,4] => [.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [7,2,3,4,5,6,1,8,9] => [9,8,1,6,5,4,3,2,7] => [1,2,9,4,5,6,7,8,3] => [.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [8,2,3,4,5,6,7,1,9] => [9,1,7,6,5,4,3,2,8] => [1,9,3,4,5,6,7,8,2] => [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [10,1,9,8,7,6,5,4,3,2] => [1,10,2,3,4,5,6,7,8,9] => [.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9] => [9,8,7,6,5,3,2,1,4] => [1,2,3,4,5,7,8,9,6] => [.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [5,1,2,3,4,6,7,8,9] => [9,8,7,6,4,3,2,1,5] => [1,2,3,4,6,7,8,9,5] => [.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [6,1,2,3,4,5,7,8,9] => [9,8,7,5,4,3,2,1,6] => [1,2,3,5,6,7,8,9,4] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [9,8,6,5,4,3,2,1,7] => [1,2,4,5,6,7,8,9,3] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [9,7,6,5,4,3,2,1,8] => [1,3,4,5,6,7,8,9,2] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,2,1,3] => [1,2,3,4,5,6,7,9,10,8] => [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [10,9,8,7,6,5,3,2,1,4] => [1,2,3,4,5,6,8,9,10,7] => [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [5,1,2,3,4,6,7,8,9,10] => [10,9,8,7,6,4,3,2,1,5] => [1,2,3,4,5,7,8,9,10,6] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [10,9,8,7,5,4,3,2,1,6] => [1,2,3,4,6,7,8,9,10,5] => [.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [7,1,2,3,4,5,6,8,9,10] => [10,9,8,6,5,4,3,2,1,7] => [1,2,3,5,6,7,8,9,10,4] => [.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [8,1,2,3,4,5,6,7,9,10] => [10,9,7,6,5,4,3,2,1,8] => [1,2,4,5,6,7,8,9,10,3] => [.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [10,8,7,6,5,4,3,2,1,9] => [1,3,4,5,6,7,8,9,10,2] => [.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [9,3,4,5,6,7,8,1,2] => [2,1,8,7,6,5,4,3,9] => [8,9,2,3,4,5,6,7,1] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [9,7,6,5,4,3,2,8,1] => [1,8,2,3,4,5,6,7,9] => [9,2,8,7,6,5,4,3,1] => [[[.,.],[[[[[[.,.],.],.],.],.],.]],.]
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [8,9,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,9,8] => [3,9,8,7,6,5,4,1,2] => [[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [11,10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10,11] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => [3,2,1,4,5,6,7,8,9,10] => [8,9,10,7,6,5,4,3,2,1] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]
[.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]] => [8,7,9,6,5,4,2,3,1] => [1,3,2,4,5,6,9,7,8] => [9,7,8,6,5,4,1,3,2] => [[[[[[.,.],[.,.]],.],.],.],[[.,.],.]]
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [3,4,5,1,2,6,7,8,9] => [9,8,7,6,2,1,5,4,3] => [1,2,3,4,8,9,5,6,7] => [.,[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]]
[[[[[[[.,.],.],.],.],.],[[[.,.],.],.]],.] => [7,8,9,1,2,3,4,5,6,10] => [10,6,5,4,3,2,1,9,8,7] => [1,5,6,7,8,9,10,2,3,4] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]]
[[[[.,[[[[.,.],.],.],.]],.],.],[.,.]] => [9,2,3,4,5,1,6,7,8] => [8,7,6,1,5,4,3,2,9] => [2,3,4,9,5,6,7,8,1] => [[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[.,[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]] => [6,2,3,4,5,7,8,9,10,1] => [1,10,9,8,7,5,4,3,2,6] => [10,1,2,3,4,6,7,8,9,5] => [[.,.],[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [10,8,7,6,5,4,3,2,9,1] => [1,9,2,3,4,5,6,7,8,10] => [10,2,9,8,7,6,5,4,3,1] => [[[.,.],[[[[[[[.,.],.],.],.],.],.],.]],.]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [3,4,5,6,7,8,1,2,9] => [9,2,1,8,7,6,5,4,3] => [1,8,9,2,3,4,5,6,7] => [.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1,9,10] => [3,4,5,6,7,8,9,10,2,1] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [6,7,8,5,4,3,2,1,9] => [9,1,2,3,4,5,8,7,6] => [1,9,8,7,6,5,2,3,4] => [.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] => [10,9,8,7,6,5,4,3,2,11,1] => [1,11,2,3,4,5,6,7,8,9,10] => [11,1,10,9,8,7,6,5,4,3,2] => [[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => [6,5,4,3,2,1,7,8,9] => [4,5,6,7,8,9,3,2,1] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => [5,4,3,2,1,6,7,8,9] => [5,6,7,8,9,4,3,2,1] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => [4,3,2,1,5,6,7,8,9] => [6,7,8,9,5,4,3,2,1] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,8,9,10] => [4,5,6,7,8,9,10,3,2,1] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [9,8,6,1,2,3,4,5,7] => [7,5,4,3,2,1,6,8,9] => [3,5,6,7,8,9,4,2,1] => [[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => [6,5,4,3,2,1,7,8,9,10] => [5,6,7,8,9,10,4,3,2,1] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => [5,4,3,2,1,6,7,8,9,10] => [6,7,8,9,10,5,4,3,2,1] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => [4,3,2,1,5,6,7,8,9,10] => [7,8,9,10,6,5,4,3,2,1] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]
[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.] => [3,2,4,1,5,6,7,8,9] => [9,8,7,6,5,1,4,2,3] => [1,2,3,4,5,9,6,8,7] => [.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]
[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [9,8,10,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,10,8,9] => [9,10,8,7,6,5,4,1,3,2] => [[[[[[[.,[.,.]],.],.],.],.],.],[[.,.],.]]
[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] => [8,9,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,9,8] => [9,7,8,6,5,4,3,1,2] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,11,10] => [11,10,9,8,7,6,5,4,3,1,2] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [9,1,8,2,3,4,5,6,7] => [1,9,2,8,7,6,5,4,3] => [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]
[[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]] => [8,9,7,6,4,3,2,1,5] => [5,1,2,3,4,6,7,9,8] => [5,9,8,7,6,4,3,1,2] => [[[[.,[[[[.,.],.],.],.]],.],.],[.,.]]
[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.] => [8,7,1,2,3,4,5,6,9] => [9,6,5,4,3,2,1,7,8] => [1,4,5,6,7,8,9,3,2] => [.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]]
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [9,1,8,7,6,5,4,2,3] => [1,9,2,3,4,5,6,8,7] => [.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [9,7,6,5,4,3,2,1,8,10] => [10,8,1,2,3,4,5,6,7,9] => [1,3,10,9,8,7,6,5,4,2] => [.,[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]]
[.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]] => [9,6,7,8,5,4,3,2,1] => [1,2,3,4,5,8,7,6,9] => [9,8,7,6,5,2,3,4,1] => [[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]
[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [8,7,6,5,4,3,9,1,2] => [2,1,9,3,4,5,6,7,8] => [8,9,1,7,6,5,4,3,2] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [9,2,3,4,5,6,7,1,8] => [8,1,7,6,5,4,3,2,9] => [2,9,3,4,5,6,7,8,1] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [3,4,1,2,5,6,7,8,9] => [9,8,7,6,5,2,1,4,3] => [1,2,3,4,5,8,9,6,7] => [.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]] => [10,11,1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1,11,10] => [3,4,5,6,7,8,9,10,11,1,2] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]]
[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]] => [9,8,2,3,4,5,6,7,1] => [1,7,6,5,4,3,2,8,9] => [9,3,4,5,6,7,8,2,1] => [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.]
[.,[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]] => [10,9,2,3,4,5,6,7,8,1] => [1,8,7,6,5,4,3,2,9,10] => [10,3,4,5,6,7,8,9,2,1] => [[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]] => [9,2,3,4,5,6,1,7,8] => [8,7,1,6,5,4,3,2,9] => [2,3,9,4,5,6,7,8,1] => [[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]],.]
[[[.,.],.],[[.,[.,[.,[.,[.,.]]]]],.]] => [8,7,6,5,4,9,1,2,3] => [3,2,1,9,4,5,6,7,8] => [7,8,9,1,6,5,4,3,2] => [[.,[.,[.,.]]],[[[[[.,.],.],.],.],.]]
[.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]] => [9,3,4,5,6,7,8,2,1] => [1,2,8,7,6,5,4,3,9] => [9,8,2,3,4,5,6,7,1] => [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]
[.,[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]] => [9,7,8,5,6,4,3,2,1] => [1,2,3,4,6,5,8,7,9] => [9,8,7,6,4,5,2,3,1] => [[[[[[[.,.],.],.],.],[.,.]],[.,.]],.]
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
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.
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.
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