Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00277: Permutations —catalanization⟶ Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00277: Permutations —catalanization⟶ Permutations
Images
[.,.] => [1] => [1] => [1]
[.,[.,.]] => [2,1] => [1,2] => [1,2]
[[.,.],.] => [1,2] => [2,1] => [2,1]
[.,[.,[.,.]]] => [3,2,1] => [1,2,3] => [1,2,3]
[.,[[.,.],.]] => [2,3,1] => [2,1,3] => [2,1,3]
[[.,.],[.,.]] => [3,1,2] => [1,3,2] => [1,3,2]
[[.,[.,.]],.] => [2,1,3] => [2,3,1] => [2,3,1]
[[[.,.],.],.] => [1,2,3] => [3,2,1] => [3,2,1]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,2,3,4] => [1,2,3,4]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [2,1,3,4] => [2,1,3,4]
[.,[[.,.],[.,.]]] => [4,2,3,1] => [1,3,2,4] => [1,3,2,4]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [2,3,1,4] => [2,3,1,4]
[.,[[[.,.],.],.]] => [2,3,4,1] => [3,2,1,4] => [3,2,1,4]
[[.,.],[.,[.,.]]] => [4,3,1,2] => [1,2,4,3] => [1,2,4,3]
[[.,.],[[.,.],.]] => [3,4,1,2] => [2,1,4,3] => [2,1,4,3]
[[.,[.,.]],[.,.]] => [4,2,1,3] => [1,3,4,2] => [1,3,4,2]
[[[.,.],.],[.,.]] => [4,1,2,3] => [1,4,3,2] => [1,4,3,2]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [2,3,4,1] => [2,3,4,1]
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,2,4,1] => [3,2,4,1]
[[[.,.],[.,.]],.] => [3,1,2,4] => [2,4,3,1] => [2,4,3,1]
[[[.,[.,.]],.],.] => [2,1,3,4] => [3,4,2,1] => [3,4,2,1]
[[[[.,.],.],.],.] => [1,2,3,4] => [4,3,2,1] => [4,3,2,1]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,2,3,4,5] => [1,2,3,4,5]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [2,1,3,4,5] => [2,1,3,4,5]
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [1,3,2,4,5] => [1,3,2,4,5]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [2,3,1,4,5] => [2,3,1,4,5]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [3,2,1,4,5] => [3,2,1,4,5]
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [1,2,4,3,5] => [1,2,4,3,5]
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [2,1,4,3,5] => [2,1,4,3,5]
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [1,3,4,2,5] => [1,3,4,2,5]
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [1,4,3,2,5] => [1,4,3,2,5]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [2,3,4,1,5] => [2,3,4,1,5]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [3,2,4,1,5] => [3,2,4,1,5]
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [2,4,3,1,5] => [2,4,3,1,5]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [3,4,2,1,5] => [3,4,2,1,5]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [4,3,2,1,5] => [4,3,2,1,5]
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [1,2,3,5,4] => [1,2,3,5,4]
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [2,1,3,5,4] => [2,1,3,5,4]
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [1,3,2,5,4] => [1,3,2,5,4]
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [2,3,1,5,4] => [2,3,1,5,4]
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [3,2,1,5,4] => [3,2,1,5,4]
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [1,2,4,5,3] => [1,2,4,5,3]
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [2,1,4,5,3] => [2,1,4,5,3]
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [1,2,5,4,3] => [1,2,5,4,3]
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [2,1,5,4,3] => [2,1,5,4,3]
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [1,3,4,5,2] => [1,3,4,5,2]
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [1,4,3,5,2] => [1,4,3,5,2]
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [1,3,5,4,2] => [1,3,5,4,2]
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [1,4,5,3,2] => [1,4,5,3,2]
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [1,5,4,3,2] => [1,5,4,3,2]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [2,3,4,5,1] => [2,3,4,5,1]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [3,2,4,5,1] => [3,2,4,5,1]
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [2,4,3,5,1] => [2,4,3,5,1]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [3,4,2,5,1] => [3,4,2,5,1]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,3,2,5,1] => [4,3,2,5,1]
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [2,3,5,4,1] => [2,3,5,4,1]
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [3,2,5,4,1] => [3,2,5,4,1]
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [2,4,5,3,1] => [2,4,5,3,1]
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [2,5,4,3,1] => [2,5,4,3,1]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,4,5,2,1] => [3,4,5,2,1]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [4,3,5,2,1] => [4,3,5,2,1]
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [3,5,4,2,1] => [3,5,4,2,1]
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [4,5,3,2,1] => [4,5,3,2,1]
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [5,4,3,2,1] => [5,4,3,2,1]
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [2,1,3,4,5,6] => [2,1,3,4,5,6]
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [1,3,2,4,5,6] => [1,3,2,4,5,6]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [2,3,1,4,5,6] => [2,3,1,4,5,6]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [3,2,1,4,5,6] => [3,2,1,4,5,6]
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6]
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [2,1,4,3,5,6] => [2,1,4,3,5,6]
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [1,3,4,2,5,6] => [1,3,4,2,5,6]
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [1,4,3,2,5,6] => [1,4,3,2,5,6]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [2,3,4,1,5,6] => [2,3,4,1,5,6]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [3,2,4,1,5,6] => [3,2,4,1,5,6]
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [2,4,3,1,5,6] => [2,4,3,1,5,6]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [3,4,2,1,5,6] => [3,4,2,1,5,6]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [4,3,2,1,5,6] => [4,3,2,1,5,6]
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6]
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [2,1,3,5,4,6] => [2,1,3,5,4,6]
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [1,3,2,5,4,6] => [1,3,2,5,4,6]
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [2,3,1,5,4,6] => [2,3,1,5,4,6]
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [3,2,1,5,4,6] => [3,2,1,5,4,6]
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [1,2,4,5,3,6] => [1,2,4,5,3,6]
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [2,1,4,5,3,6] => [2,1,4,5,3,6]
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [1,2,5,4,3,6] => [1,2,5,4,3,6]
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [2,1,5,4,3,6] => [2,1,5,4,3,6]
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [1,3,4,5,2,6] => [1,3,4,5,2,6]
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [1,4,3,5,2,6] => [1,4,3,5,2,6]
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [1,3,5,4,2,6] => [1,3,5,4,2,6]
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [1,4,5,3,2,6] => [1,4,5,3,2,6]
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [1,5,4,3,2,6] => [1,5,4,3,2,6]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [2,3,4,5,1,6] => [2,3,4,5,1,6]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [3,2,4,5,1,6] => [3,2,4,5,1,6]
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [2,4,3,5,1,6] => [2,4,3,5,1,6]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [3,4,2,5,1,6] => [3,4,2,5,1,6]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [4,3,2,5,1,6] => [4,3,2,5,1,6]
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [2,3,5,4,1,6] => [2,3,5,4,1,6]
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [3,2,5,4,1,6] => [3,2,5,4,1,6]
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [2,4,5,3,1,6] => [2,4,5,3,1,6]
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [2,5,4,3,1,6] => [2,5,4,3,1,6]
>>> Load all 727 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [3,4,5,2,1,6] => [3,4,5,2,1,6]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [4,3,5,2,1,6] => [4,3,5,2,1,6]
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [3,5,4,2,1,6] => [3,5,4,2,1,6]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [4,5,3,2,1,6] => [4,5,3,2,1,6]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [5,4,3,2,1,6] => [5,4,3,2,1,6]
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [1,2,3,4,6,5] => [1,2,3,4,6,5]
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [2,1,3,4,6,5] => [2,1,3,4,6,5]
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [1,3,2,4,6,5] => [1,3,2,4,6,5]
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [2,3,1,4,6,5] => [2,3,1,4,6,5]
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [3,2,1,4,6,5] => [3,2,1,4,6,5]
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [1,2,4,3,6,5] => [1,2,4,3,6,5]
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [2,1,4,3,6,5] => [2,1,4,3,6,5]
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [1,3,4,2,6,5] => [1,3,4,2,6,5]
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [1,4,3,2,6,5] => [1,4,3,2,6,5]
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [2,3,4,1,6,5] => [2,3,4,1,6,5]
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [3,2,4,1,6,5] => [3,2,4,1,6,5]
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,4,3,1,6,5] => [2,4,3,1,6,5]
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [3,4,2,1,6,5] => [3,4,2,1,6,5]
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [4,3,2,1,6,5] => [4,3,2,1,6,5]
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [1,2,3,5,6,4] => [1,2,3,5,6,4]
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [2,1,3,5,6,4] => [2,1,3,5,6,4]
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [1,3,2,5,6,4] => [1,3,2,5,6,4]
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [2,3,1,5,6,4] => [2,3,1,5,6,4]
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [3,2,1,5,6,4] => [3,2,1,5,6,4]
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [1,2,3,6,5,4] => [1,2,3,6,5,4]
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [2,1,3,6,5,4] => [2,1,3,6,5,4]
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [1,3,2,6,5,4] => [1,3,2,6,5,4]
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [2,3,1,6,5,4] => [2,3,1,6,5,4]
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [3,2,1,6,5,4] => [3,2,1,6,5,4]
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [1,2,4,5,6,3] => [1,2,4,5,6,3]
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [2,1,4,5,6,3] => [2,1,4,5,6,3]
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [1,2,5,4,6,3] => [1,2,5,4,6,3]
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [2,1,5,4,6,3] => [2,1,5,4,6,3]
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [1,2,4,6,5,3] => [1,2,4,6,5,3]
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [2,1,4,6,5,3] => [2,1,4,6,5,3]
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [1,2,5,6,4,3] => [1,2,5,6,4,3]
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [2,1,5,6,4,3] => [2,1,5,6,4,3]
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [1,2,6,5,4,3] => [1,2,6,5,4,3]
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [2,1,6,5,4,3] => [2,1,6,5,4,3]
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [1,3,4,5,6,2] => [1,3,4,5,6,2]
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [1,4,3,5,6,2] => [1,4,3,5,6,2]
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [1,3,5,4,6,2] => [1,3,5,4,6,2]
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [1,4,5,3,6,2] => [1,4,5,3,6,2]
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [1,5,4,3,6,2] => [1,5,4,3,6,2]
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [1,3,4,6,5,2] => [1,3,4,6,5,2]
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [1,4,3,6,5,2] => [1,4,3,6,5,2]
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [1,3,5,6,4,2] => [1,3,5,6,4,2]
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [1,3,6,5,4,2] => [1,3,6,5,4,2]
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [1,4,5,6,3,2] => [1,4,5,6,3,2]
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [1,5,4,6,3,2] => [1,5,4,6,3,2]
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [1,4,6,5,3,2] => [1,4,6,5,3,2]
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [1,5,6,4,3,2] => [1,5,6,4,3,2]
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => [1,6,5,4,3,2]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [2,3,4,5,6,1] => [2,3,4,5,6,1]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [3,2,4,5,6,1] => [3,2,4,5,6,1]
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [2,4,3,5,6,1] => [2,4,3,5,6,1]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [3,4,2,5,6,1] => [3,4,2,5,6,1]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [4,3,2,5,6,1] => [4,3,2,5,6,1]
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [2,3,5,4,6,1] => [2,3,5,4,6,1]
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [3,2,5,4,6,1] => [3,2,5,4,6,1]
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [2,4,5,3,6,1] => [2,4,5,3,6,1]
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [2,5,4,3,6,1] => [2,5,4,3,6,1]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [3,4,5,2,6,1] => [3,4,5,2,6,1]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [4,3,5,2,6,1] => [4,3,5,2,6,1]
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [3,5,4,2,6,1] => [3,5,4,2,6,1]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [4,5,3,2,6,1] => [4,5,3,2,6,1]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,4,3,2,6,1] => [5,4,3,2,6,1]
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [2,3,4,6,5,1] => [2,3,4,6,5,1]
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [3,2,4,6,5,1] => [3,2,4,6,5,1]
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [2,4,3,6,5,1] => [2,4,3,6,5,1]
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [3,4,2,6,5,1] => [3,4,2,6,5,1]
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [4,3,2,6,5,1] => [4,3,2,6,5,1]
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [2,3,5,6,4,1] => [2,3,5,6,4,1]
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [3,2,5,6,4,1] => [3,2,5,6,4,1]
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [2,3,6,5,4,1] => [2,3,6,5,4,1]
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [3,2,6,5,4,1] => [3,2,6,5,4,1]
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [2,4,5,6,3,1] => [2,4,5,6,3,1]
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [2,5,4,6,3,1] => [2,5,4,6,3,1]
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [2,4,6,5,3,1] => [2,4,6,5,3,1]
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [2,5,6,4,3,1] => [2,5,6,4,3,1]
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [2,6,5,4,3,1] => [2,6,5,4,3,1]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [3,4,5,6,2,1] => [3,4,5,6,2,1]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [4,3,5,6,2,1] => [4,3,5,6,2,1]
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [3,5,4,6,2,1] => [3,5,4,6,2,1]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,5,3,6,2,1] => [4,5,3,6,2,1]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [5,4,3,6,2,1] => [5,4,3,6,2,1]
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [3,4,6,5,2,1] => [3,4,6,5,2,1]
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [4,3,6,5,2,1] => [4,3,6,5,2,1]
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [3,5,6,4,2,1] => [3,5,6,4,2,1]
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [3,6,5,4,2,1] => [3,6,5,4,2,1]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [4,5,6,3,2,1] => [4,5,6,3,2,1]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [5,4,6,3,2,1] => [5,4,6,3,2,1]
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [4,6,5,3,2,1] => [4,6,5,3,2,1]
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [5,6,4,3,2,1] => [5,6,4,3,2,1]
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6,7]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [1,3,4,2,5,6,7] => [1,3,4,2,5,6,7]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6,7]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [3,2,4,1,5,6,7] => [3,2,4,1,5,6,7]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [2,4,3,1,5,6,7] => [2,4,3,1,5,6,7]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [3,4,2,1,5,6,7] => [3,4,2,1,5,6,7]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [2,3,1,5,4,6,7] => [2,3,1,5,4,6,7]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [3,2,1,5,4,6,7] => [3,2,1,5,4,6,7]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [1,2,4,5,3,6,7] => [1,2,4,5,3,6,7]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [2,1,4,5,3,6,7] => [2,1,4,5,3,6,7]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [2,1,5,4,3,6,7] => [2,1,5,4,3,6,7]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [1,3,4,5,2,6,7] => [1,3,4,5,2,6,7]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [1,4,3,5,2,6,7] => [1,4,3,5,2,6,7]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [1,3,5,4,2,6,7] => [1,3,5,4,2,6,7]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [1,4,5,3,2,6,7] => [1,4,5,3,2,6,7]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6,7]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6,7]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [3,2,4,5,1,6,7] => [3,2,4,5,1,6,7]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [2,4,3,5,1,6,7] => [2,4,3,5,1,6,7]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [3,4,2,5,1,6,7] => [3,4,2,5,1,6,7]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [4,3,2,5,1,6,7] => [4,3,2,5,1,6,7]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [2,3,5,4,1,6,7] => [2,3,5,4,1,6,7]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [3,2,5,4,1,6,7] => [3,2,5,4,1,6,7]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [2,4,5,3,1,6,7] => [2,4,5,3,1,6,7]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [2,5,4,3,1,6,7] => [2,5,4,3,1,6,7]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [3,4,5,2,1,6,7] => [3,4,5,2,1,6,7]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [4,3,5,2,1,6,7] => [4,3,5,2,1,6,7]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [3,5,4,2,1,6,7] => [3,5,4,2,1,6,7]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [4,5,3,2,1,6,7] => [4,5,3,2,1,6,7]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [2,3,1,4,6,5,7] => [2,3,1,4,6,5,7]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [3,2,1,4,6,5,7] => [3,2,1,4,6,5,7]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [1,3,4,2,6,5,7] => [1,3,4,2,6,5,7]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [2,3,4,1,6,5,7] => [2,3,4,1,6,5,7]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [3,2,4,1,6,5,7] => [3,2,4,1,6,5,7]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [2,4,3,1,6,5,7] => [2,4,3,1,6,5,7]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [3,4,2,1,6,5,7] => [3,4,2,1,6,5,7]
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [4,3,2,1,6,5,7] => [4,3,2,1,6,5,7]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [1,2,3,5,6,4,7] => [1,2,3,5,6,4,7]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [2,1,3,5,6,4,7] => [2,1,3,5,6,4,7]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [1,3,2,5,6,4,7] => [1,3,2,5,6,4,7]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [2,3,1,5,6,4,7] => [2,3,1,5,6,4,7]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [3,2,1,5,6,4,7] => [3,2,1,5,6,4,7]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [2,3,1,6,5,4,7] => [2,3,1,6,5,4,7]
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [3,2,1,6,5,4,7] => [3,2,1,6,5,4,7]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [1,2,4,5,6,3,7] => [1,2,4,5,6,3,7]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [2,1,4,5,6,3,7] => [2,1,4,5,6,3,7]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [1,2,5,4,6,3,7] => [1,2,5,4,6,3,7]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [2,1,5,4,6,3,7] => [2,1,5,4,6,3,7]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [1,2,4,6,5,3,7] => [1,2,4,6,5,3,7]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [2,1,4,6,5,3,7] => [2,1,4,6,5,3,7]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [1,2,5,6,4,3,7] => [1,2,5,6,4,3,7]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [2,1,5,6,4,3,7] => [2,1,5,6,4,3,7]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7]
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3,7]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [1,3,4,5,6,2,7] => [1,3,4,5,6,2,7]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [1,4,3,5,6,2,7] => [1,4,3,5,6,2,7]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [1,3,5,4,6,2,7] => [1,3,5,4,6,2,7]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [1,4,5,3,6,2,7] => [1,4,5,3,6,2,7]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [1,5,4,3,6,2,7] => [1,5,4,3,6,2,7]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [1,3,4,6,5,2,7] => [1,3,4,6,5,2,7]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [1,4,3,6,5,2,7] => [1,4,3,6,5,2,7]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [1,3,5,6,4,2,7] => [1,3,5,6,4,2,7]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [1,3,6,5,4,2,7] => [1,3,6,5,4,2,7]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [1,4,5,6,3,2,7] => [1,4,5,6,3,2,7]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [1,5,4,6,3,2,7] => [1,5,4,6,3,2,7]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [1,4,6,5,3,2,7] => [1,4,6,5,3,2,7]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [1,5,6,4,3,2,7] => [1,5,6,4,3,2,7]
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2,7]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1,7]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [3,2,4,5,6,1,7] => [3,2,4,5,6,1,7]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [2,4,3,5,6,1,7] => [2,4,3,5,6,1,7]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [3,4,2,5,6,1,7] => [3,4,2,5,6,1,7]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [4,3,2,5,6,1,7] => [4,3,2,5,6,1,7]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [2,3,5,4,6,1,7] => [2,3,5,4,6,1,7]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [3,2,5,4,6,1,7] => [3,2,5,4,6,1,7]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [2,4,5,3,6,1,7] => [2,4,5,3,6,1,7]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [2,5,4,3,6,1,7] => [2,5,4,3,6,1,7]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [3,4,5,2,6,1,7] => [3,4,5,2,6,1,7]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [4,3,5,2,6,1,7] => [4,3,5,2,6,1,7]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [3,5,4,2,6,1,7] => [3,5,4,2,6,1,7]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [4,5,3,2,6,1,7] => [4,5,3,2,6,1,7]
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [5,4,3,2,6,1,7] => [5,4,3,2,6,1,7]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [2,3,4,6,5,1,7] => [2,3,4,6,5,1,7]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [3,2,4,6,5,1,7] => [3,2,4,6,5,1,7]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [2,4,3,6,5,1,7] => [2,4,3,6,5,1,7]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [3,4,2,6,5,1,7] => [3,4,2,6,5,1,7]
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [4,3,2,6,5,1,7] => [4,3,2,6,5,1,7]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [2,3,5,6,4,1,7] => [2,3,5,6,4,1,7]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [3,2,5,6,4,1,7] => [3,2,5,6,4,1,7]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [2,3,6,5,4,1,7] => [2,3,6,5,4,1,7]
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [3,2,6,5,4,1,7] => [3,2,6,5,4,1,7]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [2,4,5,6,3,1,7] => [2,4,5,6,3,1,7]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [2,5,4,6,3,1,7] => [2,5,4,6,3,1,7]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [2,4,6,5,3,1,7] => [2,4,6,5,3,1,7]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [2,5,6,4,3,1,7] => [2,5,6,4,3,1,7]
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [2,6,5,4,3,1,7] => [2,6,5,4,3,1,7]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [3,4,5,6,2,1,7] => [3,4,5,6,2,1,7]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [4,3,5,6,2,1,7] => [4,3,5,6,2,1,7]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [3,5,4,6,2,1,7] => [3,5,4,6,2,1,7]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [4,5,3,6,2,1,7] => [4,5,3,6,2,1,7]
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [5,4,3,6,2,1,7] => [5,4,3,6,2,1,7]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [3,4,6,5,2,1,7] => [3,4,6,5,2,1,7]
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [4,3,6,5,2,1,7] => [4,3,6,5,2,1,7]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [3,5,6,4,2,1,7] => [3,5,6,4,2,1,7]
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [3,6,5,4,2,1,7] => [3,6,5,4,2,1,7]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [4,5,6,3,2,1,7] => [4,5,6,3,2,1,7]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [5,4,6,3,2,1,7] => [5,4,6,3,2,1,7]
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [4,6,5,3,2,1,7] => [4,6,5,3,2,1,7]
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [5,6,4,3,2,1,7] => [5,6,4,3,2,1,7]
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [2,3,1,4,5,7,6] => [2,3,1,4,5,7,6]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [3,2,1,4,5,7,6] => [3,2,1,4,5,7,6]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [1,3,4,2,5,7,6] => [1,3,4,2,5,7,6]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [2,3,4,1,5,7,6] => [2,3,4,1,5,7,6]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [3,2,4,1,5,7,6] => [3,2,4,1,5,7,6]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [2,4,3,1,5,7,6] => [2,4,3,1,5,7,6]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [3,4,2,1,5,7,6] => [3,4,2,1,5,7,6]
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [4,3,2,1,5,7,6] => [4,3,2,1,5,7,6]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [2,3,1,5,4,7,6] => [2,3,1,5,4,7,6]
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [3,2,1,5,4,7,6] => [3,2,1,5,4,7,6]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [1,2,4,5,3,7,6] => [1,2,4,5,3,7,6]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [2,1,4,5,3,7,6] => [2,1,4,5,3,7,6]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [1,3,4,5,2,7,6] => [1,3,4,5,2,7,6]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [1,4,3,5,2,7,6] => [1,4,3,5,2,7,6]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [1,3,5,4,2,7,6] => [1,3,5,4,2,7,6]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [1,4,5,3,2,7,6] => [1,4,5,3,2,7,6]
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [2,3,4,5,1,7,6] => [2,3,4,5,1,7,6]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [3,2,4,5,1,7,6] => [3,2,4,5,1,7,6]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [2,4,3,5,1,7,6] => [2,4,3,5,1,7,6]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [3,4,2,5,1,7,6] => [3,4,2,5,1,7,6]
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [4,3,2,5,1,7,6] => [4,3,2,5,1,7,6]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [2,3,5,4,1,7,6] => [2,3,5,4,1,7,6]
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [3,2,5,4,1,7,6] => [3,2,5,4,1,7,6]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [2,4,5,3,1,7,6] => [2,4,5,3,1,7,6]
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [2,5,4,3,1,7,6] => [2,5,4,3,1,7,6]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [3,4,5,2,1,7,6] => [3,4,5,2,1,7,6]
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [4,3,5,2,1,7,6] => [4,3,5,2,1,7,6]
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [3,5,4,2,1,7,6] => [3,5,4,2,1,7,6]
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [4,5,3,2,1,7,6] => [4,5,3,2,1,7,6]
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [5,4,3,2,1,7,6] => [5,4,3,2,1,7,6]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [1,2,3,4,6,7,5] => [1,2,3,4,6,7,5]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [2,1,3,4,6,7,5] => [2,1,3,4,6,7,5]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [1,3,2,4,6,7,5] => [1,3,2,4,6,7,5]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [2,3,1,4,6,7,5] => [2,3,1,4,6,7,5]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [3,2,1,4,6,7,5] => [3,2,1,4,6,7,5]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [1,2,4,3,6,7,5] => [1,2,4,3,6,7,5]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [2,1,4,3,6,7,5] => [2,1,4,3,6,7,5]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [1,3,4,2,6,7,5] => [1,3,4,2,6,7,5]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [1,4,3,2,6,7,5] => [1,4,3,2,6,7,5]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [2,3,4,1,6,7,5] => [2,3,4,1,6,7,5]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [3,2,4,1,6,7,5] => [3,2,4,1,6,7,5]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [2,4,3,1,6,7,5] => [2,4,3,1,6,7,5]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [3,4,2,1,6,7,5] => [3,4,2,1,6,7,5]
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [4,3,2,1,6,7,5] => [4,3,2,1,6,7,5]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [2,3,1,4,7,6,5] => [2,3,1,4,7,6,5]
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [1,3,4,2,7,6,5] => [1,3,4,2,7,6,5]
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [2,3,4,1,7,6,5] => [2,3,4,1,7,6,5]
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [3,2,4,1,7,6,5] => [3,2,4,1,7,6,5]
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [2,4,3,1,7,6,5] => [2,4,3,1,7,6,5]
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [3,4,2,1,7,6,5] => [3,4,2,1,7,6,5]
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [4,3,2,1,7,6,5] => [4,3,2,1,7,6,5]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [1,2,3,5,6,7,4] => [1,2,3,5,6,7,4]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [2,1,3,5,6,7,4] => [2,1,3,5,6,7,4]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [1,3,2,5,6,7,4] => [1,3,2,5,6,7,4]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [2,3,1,5,6,7,4] => [2,3,1,5,6,7,4]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [3,2,1,5,6,7,4] => [3,2,1,5,6,7,4]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [1,2,3,6,5,7,4] => [1,2,3,6,5,7,4]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [2,1,3,6,5,7,4] => [2,1,3,6,5,7,4]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [1,3,2,6,5,7,4] => [1,3,2,6,5,7,4]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [2,3,1,6,5,7,4] => [2,3,1,6,5,7,4]
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [3,2,1,6,5,7,4] => [3,2,1,6,5,7,4]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [1,2,3,5,7,6,4] => [1,2,3,5,7,6,4]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [2,1,3,5,7,6,4] => [2,1,3,5,7,6,4]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [1,3,2,5,7,6,4] => [1,3,2,5,7,6,4]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [2,3,1,5,7,6,4] => [2,3,1,5,7,6,4]
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [3,2,1,5,7,6,4] => [3,2,1,5,7,6,4]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [1,2,3,6,7,5,4] => [1,2,3,6,7,5,4]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [2,1,3,6,7,5,4] => [2,1,3,6,7,5,4]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [1,3,2,6,7,5,4] => [1,3,2,6,7,5,4]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [2,3,1,6,7,5,4] => [2,3,1,6,7,5,4]
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [3,2,1,6,7,5,4] => [3,2,1,6,7,5,4]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4]
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4]
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [2,3,1,7,6,5,4] => [2,3,1,7,6,5,4]
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [3,2,1,7,6,5,4] => [3,2,1,7,6,5,4]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [1,2,4,5,6,7,3] => [1,2,4,5,6,7,3]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [2,1,4,5,6,7,3] => [2,1,4,5,6,7,3]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [1,2,5,4,6,7,3] => [1,2,5,4,6,7,3]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [2,1,5,4,6,7,3] => [2,1,5,4,6,7,3]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [1,2,4,6,5,7,3] => [1,2,4,6,5,7,3]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [2,1,4,6,5,7,3] => [2,1,4,6,5,7,3]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [1,2,5,6,4,7,3] => [1,2,5,6,4,7,3]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [2,1,5,6,4,7,3] => [2,1,5,6,4,7,3]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [1,2,6,5,4,7,3] => [1,2,6,5,4,7,3]
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [2,1,6,5,4,7,3] => [2,1,6,5,4,7,3]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [1,2,4,5,7,6,3] => [1,2,4,5,7,6,3]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [2,1,4,5,7,6,3] => [2,1,4,5,7,6,3]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [1,2,5,4,7,6,3] => [1,2,5,4,7,6,3]
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [2,1,5,4,7,6,3] => [2,1,5,4,7,6,3]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [1,2,4,6,7,5,3] => [1,2,4,6,7,5,3]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [2,1,4,6,7,5,3] => [2,1,4,6,7,5,3]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [1,2,4,7,6,5,3] => [1,2,4,7,6,5,3]
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [2,1,4,7,6,5,3] => [2,1,4,7,6,5,3]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [1,2,5,6,7,4,3] => [1,2,5,6,7,4,3]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [2,1,5,6,7,4,3] => [2,1,5,6,7,4,3]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [1,2,6,5,7,4,3] => [1,2,6,5,7,4,3]
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [2,1,6,5,7,4,3] => [2,1,6,5,7,4,3]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [1,2,5,7,6,4,3] => [1,2,5,7,6,4,3]
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [2,1,5,7,6,4,3] => [2,1,5,7,6,4,3]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [1,2,6,7,5,4,3] => [1,2,6,7,5,4,3]
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [2,1,6,7,5,4,3] => [2,1,6,7,5,4,3]
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [1,3,4,5,6,7,2] => [1,3,4,5,6,7,2]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [1,4,3,5,6,7,2] => [1,4,3,5,6,7,2]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [1,3,5,4,6,7,2] => [1,3,5,4,6,7,2]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [1,4,5,3,6,7,2] => [1,4,5,3,6,7,2]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [1,5,4,3,6,7,2] => [1,5,4,3,6,7,2]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [1,3,4,6,5,7,2] => [1,3,4,6,5,7,2]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [1,4,3,6,5,7,2] => [1,4,3,6,5,7,2]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [1,3,5,6,4,7,2] => [1,3,5,6,4,7,2]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [1,3,6,5,4,7,2] => [1,3,6,5,4,7,2]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [1,4,5,6,3,7,2] => [1,4,5,6,3,7,2]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [1,5,4,6,3,7,2] => [1,5,4,6,3,7,2]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [1,4,6,5,3,7,2] => [1,4,6,5,3,7,2]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [1,5,6,4,3,7,2] => [1,5,6,4,3,7,2]
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [1,6,5,4,3,7,2] => [1,6,5,4,3,7,2]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [1,3,4,5,7,6,2] => [1,3,4,5,7,6,2]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [1,4,3,5,7,6,2] => [1,4,3,5,7,6,2]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [1,3,5,4,7,6,2] => [1,3,5,4,7,6,2]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [1,4,5,3,7,6,2] => [1,4,5,3,7,6,2]
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [1,5,4,3,7,6,2] => [1,5,4,3,7,6,2]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [1,3,4,6,7,5,2] => [1,3,4,6,7,5,2]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [1,4,3,6,7,5,2] => [1,4,3,6,7,5,2]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [1,3,4,7,6,5,2] => [1,3,4,7,6,5,2]
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [1,4,3,7,6,5,2] => [1,4,3,7,6,5,2]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [1,3,5,6,7,4,2] => [1,3,5,6,7,4,2]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [1,3,6,5,7,4,2] => [1,3,6,5,7,4,2]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [1,3,5,7,6,4,2] => [1,3,5,7,6,4,2]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [1,3,6,7,5,4,2] => [1,3,6,7,5,4,2]
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [1,3,7,6,5,4,2] => [1,3,7,6,5,4,2]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [1,4,5,6,7,3,2] => [1,4,5,6,7,3,2]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [1,5,4,6,7,3,2] => [1,5,4,6,7,3,2]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [1,4,6,5,7,3,2] => [1,4,6,5,7,3,2]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [1,5,6,4,7,3,2] => [1,5,6,4,7,3,2]
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [1,6,5,4,7,3,2] => [1,6,5,4,7,3,2]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [1,4,5,7,6,3,2] => [1,4,5,7,6,3,2]
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [1,5,4,7,6,3,2] => [1,5,4,7,6,3,2]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [1,4,6,7,5,3,2] => [1,4,6,7,5,3,2]
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [1,4,7,6,5,3,2] => [1,4,7,6,5,3,2]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [1,5,6,7,4,3,2] => [1,5,6,7,4,3,2]
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [1,6,5,7,4,3,2] => [1,6,5,7,4,3,2]
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [1,5,7,6,4,3,2] => [1,5,7,6,4,3,2]
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [1,6,7,5,4,3,2] => [1,6,7,5,4,3,2]
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [2,3,4,5,6,7,1] => [2,3,4,5,6,7,1]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [3,2,4,5,6,7,1] => [3,2,4,5,6,7,1]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [2,4,3,5,6,7,1] => [2,4,3,5,6,7,1]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [3,4,2,5,6,7,1] => [3,4,2,5,6,7,1]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [4,3,2,5,6,7,1] => [4,3,2,5,6,7,1]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [2,3,5,4,6,7,1] => [2,3,5,4,6,7,1]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [3,2,5,4,6,7,1] => [3,2,5,4,6,7,1]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [2,4,5,3,6,7,1] => [2,4,5,3,6,7,1]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [2,5,4,3,6,7,1] => [2,5,4,3,6,7,1]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [3,4,5,2,6,7,1] => [3,4,5,2,6,7,1]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [4,3,5,2,6,7,1] => [4,3,5,2,6,7,1]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [3,5,4,2,6,7,1] => [3,5,4,2,6,7,1]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [4,5,3,2,6,7,1] => [4,5,3,2,6,7,1]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [5,4,3,2,6,7,1] => [5,4,3,2,6,7,1]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [2,3,4,6,5,7,1] => [2,3,4,6,5,7,1]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [3,2,4,6,5,7,1] => [3,2,4,6,5,7,1]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [2,4,3,6,5,7,1] => [2,4,3,6,5,7,1]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [3,4,2,6,5,7,1] => [3,4,2,6,5,7,1]
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [4,3,2,6,5,7,1] => [4,3,2,6,5,7,1]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [2,3,5,6,4,7,1] => [2,3,5,6,4,7,1]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [3,2,5,6,4,7,1] => [3,2,5,6,4,7,1]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [2,3,6,5,4,7,1] => [2,3,6,5,4,7,1]
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [3,2,6,5,4,7,1] => [3,2,6,5,4,7,1]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [2,4,5,6,3,7,1] => [2,4,5,6,3,7,1]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [2,5,4,6,3,7,1] => [2,5,4,6,3,7,1]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [2,4,6,5,3,7,1] => [2,4,6,5,3,7,1]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [2,5,6,4,3,7,1] => [2,5,6,4,3,7,1]
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [2,6,5,4,3,7,1] => [2,6,5,4,3,7,1]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [3,4,5,6,2,7,1] => [3,4,5,6,2,7,1]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [4,3,5,6,2,7,1] => [4,3,5,6,2,7,1]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [3,5,4,6,2,7,1] => [3,5,4,6,2,7,1]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [4,5,3,6,2,7,1] => [4,5,3,6,2,7,1]
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [5,4,3,6,2,7,1] => [5,4,3,6,2,7,1]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [3,4,6,5,2,7,1] => [3,4,6,5,2,7,1]
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [4,3,6,5,2,7,1] => [4,3,6,5,2,7,1]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [3,5,6,4,2,7,1] => [3,5,6,4,2,7,1]
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [3,6,5,4,2,7,1] => [3,6,5,4,2,7,1]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [4,5,6,3,2,7,1] => [4,5,6,3,2,7,1]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [5,4,6,3,2,7,1] => [5,4,6,3,2,7,1]
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [4,6,5,3,2,7,1] => [4,6,5,3,2,7,1]
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [5,6,4,3,2,7,1] => [5,6,4,3,2,7,1]
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [6,5,4,3,2,7,1] => [6,5,4,3,2,7,1]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [2,3,4,5,7,6,1] => [2,3,4,5,7,6,1]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [3,2,4,5,7,6,1] => [3,2,4,5,7,6,1]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [2,4,3,5,7,6,1] => [2,4,3,5,7,6,1]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [3,4,2,5,7,6,1] => [3,4,2,5,7,6,1]
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [4,3,2,5,7,6,1] => [4,3,2,5,7,6,1]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [2,3,5,4,7,6,1] => [2,3,5,4,7,6,1]
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [3,2,5,4,7,6,1] => [3,2,5,4,7,6,1]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [2,4,5,3,7,6,1] => [2,4,5,3,7,6,1]
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [2,5,4,3,7,6,1] => [2,5,4,3,7,6,1]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [3,4,5,2,7,6,1] => [3,4,5,2,7,6,1]
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [4,3,5,2,7,6,1] => [4,3,5,2,7,6,1]
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [3,5,4,2,7,6,1] => [3,5,4,2,7,6,1]
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [4,5,3,2,7,6,1] => [4,5,3,2,7,6,1]
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [5,4,3,2,7,6,1] => [5,4,3,2,7,6,1]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [2,3,4,6,7,5,1] => [2,3,4,6,7,5,1]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [3,2,4,6,7,5,1] => [3,2,4,6,7,5,1]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [2,4,3,6,7,5,1] => [2,4,3,6,7,5,1]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [3,4,2,6,7,5,1] => [3,4,2,6,7,5,1]
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [4,3,2,6,7,5,1] => [4,3,2,6,7,5,1]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [2,3,4,7,6,5,1] => [2,3,4,7,6,5,1]
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [3,2,4,7,6,5,1] => [3,2,4,7,6,5,1]
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [2,4,3,7,6,5,1] => [2,4,3,7,6,5,1]
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [3,4,2,7,6,5,1] => [3,4,2,7,6,5,1]
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [4,3,2,7,6,5,1] => [4,3,2,7,6,5,1]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [2,3,5,6,7,4,1] => [2,3,5,6,7,4,1]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [3,2,5,6,7,4,1] => [3,2,5,6,7,4,1]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [2,3,6,5,7,4,1] => [2,3,6,5,7,4,1]
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [3,2,6,5,7,4,1] => [3,2,6,5,7,4,1]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [2,3,5,7,6,4,1] => [2,3,5,7,6,4,1]
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [3,2,5,7,6,4,1] => [3,2,5,7,6,4,1]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [2,3,6,7,5,4,1] => [2,3,6,7,5,4,1]
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [3,2,6,7,5,4,1] => [3,2,6,7,5,4,1]
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [2,3,7,6,5,4,1] => [2,3,7,6,5,4,1]
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [3,2,7,6,5,4,1] => [3,2,7,6,5,4,1]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [2,4,5,6,7,3,1] => [2,4,5,6,7,3,1]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [2,5,4,6,7,3,1] => [2,5,4,6,7,3,1]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [2,4,6,5,7,3,1] => [2,4,6,5,7,3,1]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [2,5,6,4,7,3,1] => [2,5,6,4,7,3,1]
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [2,6,5,4,7,3,1] => [2,6,5,4,7,3,1]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [2,4,5,7,6,3,1] => [2,4,5,7,6,3,1]
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [2,5,4,7,6,3,1] => [2,5,4,7,6,3,1]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [2,4,6,7,5,3,1] => [2,4,6,7,5,3,1]
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [2,4,7,6,5,3,1] => [2,4,7,6,5,3,1]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [2,5,6,7,4,3,1] => [2,5,6,7,4,3,1]
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [2,6,5,7,4,3,1] => [2,6,5,7,4,3,1]
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [2,5,7,6,4,3,1] => [2,5,7,6,4,3,1]
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [2,6,7,5,4,3,1] => [2,6,7,5,4,3,1]
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [2,7,6,5,4,3,1] => [2,7,6,5,4,3,1]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [3,4,5,6,7,2,1] => [3,4,5,6,7,2,1]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [4,3,5,6,7,2,1] => [4,3,5,6,7,2,1]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [3,5,4,6,7,2,1] => [3,5,4,6,7,2,1]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [4,5,3,6,7,2,1] => [4,5,3,6,7,2,1]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [5,4,3,6,7,2,1] => [5,4,3,6,7,2,1]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [3,4,6,5,7,2,1] => [3,4,6,5,7,2,1]
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [4,3,6,5,7,2,1] => [4,3,6,5,7,2,1]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [3,5,6,4,7,2,1] => [3,5,6,4,7,2,1]
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [3,6,5,4,7,2,1] => [3,6,5,4,7,2,1]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [4,5,6,3,7,2,1] => [4,5,6,3,7,2,1]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,4,6,3,7,2,1] => [5,4,6,3,7,2,1]
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [4,6,5,3,7,2,1] => [4,6,5,3,7,2,1]
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [5,6,4,3,7,2,1] => [5,6,4,3,7,2,1]
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [6,5,4,3,7,2,1] => [6,5,4,3,7,2,1]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [3,4,5,7,6,2,1] => [3,4,5,7,6,2,1]
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [4,3,5,7,6,2,1] => [4,3,5,7,6,2,1]
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [3,5,4,7,6,2,1] => [3,5,4,7,6,2,1]
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [4,5,3,7,6,2,1] => [4,5,3,7,6,2,1]
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [5,4,3,7,6,2,1] => [5,4,3,7,6,2,1]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [3,4,6,7,5,2,1] => [3,4,6,7,5,2,1]
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [4,3,6,7,5,2,1] => [4,3,6,7,5,2,1]
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [3,4,7,6,5,2,1] => [3,4,7,6,5,2,1]
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [4,3,7,6,5,2,1] => [4,3,7,6,5,2,1]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [3,5,6,7,4,2,1] => [3,5,6,7,4,2,1]
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [3,6,5,7,4,2,1] => [3,6,5,7,4,2,1]
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [3,5,7,6,4,2,1] => [3,5,7,6,4,2,1]
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [3,6,7,5,4,2,1] => [3,6,7,5,4,2,1]
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [3,7,6,5,4,2,1] => [3,7,6,5,4,2,1]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,5,6,7,3,2,1] => [4,5,6,7,3,2,1]
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [5,4,6,7,3,2,1] => [5,4,6,7,3,2,1]
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [4,6,5,7,3,2,1] => [4,6,5,7,3,2,1]
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [5,6,4,7,3,2,1] => [5,6,4,7,3,2,1]
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [6,5,4,7,3,2,1] => [6,5,4,7,3,2,1]
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [4,5,7,6,3,2,1] => [4,5,7,6,3,2,1]
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [5,4,7,6,3,2,1] => [5,4,7,6,3,2,1]
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [4,6,7,5,3,2,1] => [4,6,7,5,3,2,1]
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [4,7,6,5,3,2,1] => [4,7,6,5,3,2,1]
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [5,6,7,4,3,2,1] => [5,6,7,4,3,2,1]
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [6,5,7,4,3,2,1] => [6,5,7,4,3,2,1]
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [5,7,6,4,3,2,1] => [5,7,6,4,3,2,1]
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [6,7,5,4,3,2,1] => [6,7,5,4,3,2,1]
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [4,3,2,1,6,5,7,8] => [4,3,2,1,6,5,7,8]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [4,3,2,1,5,7,6,8] => [4,3,2,1,5,7,6,8]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [1,3,4,2,6,7,5,8] => [1,3,4,2,6,7,5,8]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [4,3,2,1,6,7,5,8] => [4,3,2,1,6,7,5,8]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [1,4,3,2,7,6,5,8] => [1,4,3,2,7,6,5,8]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [4,3,2,1,7,6,5,8] => [4,3,2,1,7,6,5,8]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [3,2,5,4,7,6,1,8] => [3,2,5,4,7,6,1,8]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [5,4,3,2,7,6,1,8] => [5,4,3,2,7,6,1,8]
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [3,2,7,6,5,4,1,8] => [3,2,7,6,5,4,1,8]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [4,3,2,1,5,6,8,7] => [4,3,2,1,5,6,8,7]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [2,3,4,1,6,5,8,7] => [2,3,4,1,6,5,8,7]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [3,2,4,1,6,5,8,7] => [3,2,4,1,6,5,8,7]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [2,4,3,1,6,5,8,7] => [2,4,3,1,6,5,8,7]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [3,4,2,1,6,5,8,7] => [3,4,2,1,6,5,8,7]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [4,3,2,1,6,5,8,7] => [4,3,2,1,6,5,8,7]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [2,1,4,5,6,3,8,7] => [2,1,4,5,6,3,8,7]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [2,1,5,4,6,3,8,7] => [2,1,5,4,6,3,8,7]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [2,1,4,6,5,3,8,7] => [2,1,4,6,5,3,8,7]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [2,1,5,6,4,3,8,7] => [2,1,5,6,4,3,8,7]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [2,1,6,5,4,3,8,7] => [2,1,6,5,4,3,8,7]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [2,3,4,5,6,1,8,7] => [2,3,4,5,6,1,8,7]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [3,2,5,4,6,1,8,7] => [3,2,5,4,6,1,8,7]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [4,3,5,2,6,1,8,7] => [4,3,5,2,6,1,8,7]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [4,5,3,6,2,1,8,7] => [4,5,3,6,2,1,8,7]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [4,5,6,3,2,1,8,7] => [4,5,6,3,2,1,8,7]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [6,5,4,3,2,1,8,7] => [6,5,4,3,2,1,8,7]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [2,3,1,4,5,7,8,6] => [2,3,1,4,5,7,8,6]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [4,3,2,1,5,7,8,6] => [4,3,2,1,5,7,8,6]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [3,2,1,4,5,8,7,6] => [3,2,1,4,5,8,7,6]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [4,3,2,1,5,8,7,6] => [4,3,2,1,5,8,7,6]
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [3,2,5,4,1,8,7,6] => [3,2,5,4,1,8,7,6]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [5,4,3,2,1,8,7,6] => [5,4,3,2,1,8,7,6]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [2,1,4,3,6,7,8,5] => [2,1,4,3,6,7,8,5]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [2,3,4,1,6,7,8,5] => [2,3,4,1,6,7,8,5]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [4,3,2,1,6,7,8,5] => [4,3,2,1,6,7,8,5]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [2,1,4,3,7,6,8,5] => [2,1,4,3,7,6,8,5]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [3,2,4,1,7,6,8,5] => [3,2,4,1,7,6,8,5]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [2,4,3,1,7,6,8,5] => [2,4,3,1,7,6,8,5]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [4,3,2,1,7,6,8,5] => [4,3,2,1,7,6,8,5]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [2,1,4,3,6,8,7,5] => [2,1,4,3,6,8,7,5]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [3,2,4,1,6,8,7,5] => [3,2,4,1,6,8,7,5]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [2,4,3,1,6,8,7,5] => [2,4,3,1,6,8,7,5]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [4,3,2,1,6,8,7,5] => [4,3,2,1,6,8,7,5]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [2,1,4,3,7,8,6,5] => [2,1,4,3,7,8,6,5]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [3,4,2,1,7,8,6,5] => [3,4,2,1,7,8,6,5]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [4,3,2,1,7,8,6,5] => [4,3,2,1,7,8,6,5]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [1,2,3,4,8,7,6,5] => [1,2,3,4,8,7,6,5]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [2,1,3,4,8,7,6,5] => [2,1,3,4,8,7,6,5]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [1,3,2,4,8,7,6,5] => [1,3,2,4,8,7,6,5]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [2,3,1,4,8,7,6,5] => [2,3,1,4,8,7,6,5]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [3,2,1,4,8,7,6,5] => [3,2,1,4,8,7,6,5]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [1,2,4,3,8,7,6,5] => [1,2,4,3,8,7,6,5]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [2,1,4,3,8,7,6,5] => [2,1,4,3,8,7,6,5]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [1,3,4,2,8,7,6,5] => [1,3,4,2,8,7,6,5]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [1,4,3,2,8,7,6,5] => [1,4,3,2,8,7,6,5]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [2,3,4,1,8,7,6,5] => [2,3,4,1,8,7,6,5]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [3,2,4,1,8,7,6,5] => [3,2,4,1,8,7,6,5]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [2,4,3,1,8,7,6,5] => [2,4,3,1,8,7,6,5]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [3,4,2,1,8,7,6,5] => [3,4,2,1,8,7,6,5]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [4,3,2,1,8,7,6,5] => [4,3,2,1,8,7,6,5]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [1,2,3,5,6,7,8,4] => [1,2,3,5,6,7,8,4]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [3,2,1,6,5,8,7,4] => [3,2,1,6,5,8,7,4]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [3,2,1,8,7,6,5,4] => [3,2,1,8,7,6,5,4]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [2,1,4,5,6,7,8,3] => [2,1,4,5,6,7,8,3]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [7,8,4,5,2,3,1,6] => [2,1,5,4,7,6,8,3] => [2,1,5,4,7,6,8,3]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [2,1,6,5,7,4,8,3] => [2,1,6,5,7,4,8,3]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [1,2,5,6,7,8,4,3] => [1,2,5,6,7,8,4,3]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [2,1,5,6,7,8,4,3] => [2,1,5,6,7,8,4,3]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [2,1,6,7,5,8,4,3] => [2,1,6,7,5,8,4,3]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [1,2,6,7,8,5,4,3] => [1,2,6,7,8,5,4,3]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [2,1,6,7,8,5,4,3] => [2,1,6,7,8,5,4,3]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [2,1,8,7,6,5,4,3] => [2,1,8,7,6,5,4,3]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [1,4,3,6,5,8,7,2] => [1,4,3,6,5,8,7,2]
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [1,6,5,4,3,8,7,2] => [1,6,5,4,3,8,7,2]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [1,4,3,8,7,6,5,2] => [1,4,3,8,7,6,5,2]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [1,3,5,6,7,8,4,2] => [1,3,5,6,7,8,4,2]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [1,3,5,7,8,6,4,2] => [1,3,5,7,8,6,4,2]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [1,5,6,7,8,4,3,2] => [1,5,6,7,8,4,3,2]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [1,7,8,6,5,4,3,2] => [1,7,8,6,5,4,3,2]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [1,8,7,6,5,4,3,2]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,8,1]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [3,2,5,4,7,6,8,1] => [3,2,5,4,7,6,8,1]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [4,3,5,2,7,6,8,1] => [4,3,5,2,7,6,8,1]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [6,7,3,4,2,5,1,8] => [3,2,6,5,7,4,8,1] => [3,2,6,5,7,4,8,1]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [4,3,6,5,7,2,8,1] => [4,3,6,5,7,2,8,1]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [5,4,6,3,7,2,8,1] => [5,4,6,3,7,2,8,1]
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,2,1,3,8] => [3,4,2,5,7,8,6,1] => [3,4,2,5,7,8,6,1]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [7,6,4,3,2,1,5,8] => [2,3,5,6,7,8,4,1] => [2,3,5,6,7,8,4,1]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [2,3,5,6,8,7,4,1] => [2,3,5,6,8,7,4,1]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [2,5,6,7,8,4,3,1] => [2,5,6,7,8,4,3,1]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [2,6,8,7,5,4,3,1] => [2,6,8,7,5,4,3,1]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [3,5,6,7,8,4,2,1] => [3,5,6,7,8,4,2,1]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [3,5,8,7,6,4,2,1] => [3,5,8,7,6,4,2,1]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [5,6,7,8,4,3,2,1] => [5,6,7,8,4,3,2,1]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1]
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
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
catalanization
Description
The catalanization of a permutation.
For a permutation $\sigma$, this is the product of the reflections corresponding to the inversions of $\sigma$ in lex-order.
A permutation is $231$-avoiding if and only if it is a fixpoint of this map. Also, for every permutation there exists an index $k$ such that the $k$-fold application of this map is $231$-avoiding.
For a permutation $\sigma$, this is the product of the reflections corresponding to the inversions of $\sigma$ in lex-order.
A permutation is $231$-avoiding if and only if it is a fixpoint of this map. Also, for every permutation there exists an index $k$ such that the $k$-fold application of this map is $231$-avoiding.
searching the database
Sorry, this map was not found in the database.