Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00223: Permutations —runsort⟶ Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00223: Permutations —runsort⟶ Permutations
Images
[.,.] => [1] => [1] => [1]
[.,[.,.]] => [2,1] => [1,2] => [1,2]
[[.,.],.] => [1,2] => [2,1] => [1,2]
[.,[.,[.,.]]] => [3,2,1] => [1,2,3] => [1,2,3]
[.,[[.,.],.]] => [2,3,1] => [1,3,2] => [1,3,2]
[[.,.],[.,.]] => [1,3,2] => [2,3,1] => [1,2,3]
[[.,[.,.]],.] => [2,1,3] => [3,1,2] => [1,2,3]
[[[.,.],.],.] => [1,2,3] => [3,2,1] => [1,2,3]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,2,3,4] => [1,2,3,4]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [1,2,4,3] => [1,2,4,3]
[.,[[.,.],[.,.]]] => [2,4,3,1] => [1,3,4,2] => [1,3,4,2]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [1,4,2,3] => [1,4,2,3]
[.,[[[.,.],.],.]] => [2,3,4,1] => [1,4,3,2] => [1,4,2,3]
[[.,.],[.,[.,.]]] => [1,4,3,2] => [2,3,4,1] => [1,2,3,4]
[[.,.],[[.,.],.]] => [1,3,4,2] => [2,4,3,1] => [1,2,4,3]
[[.,[.,.]],[.,.]] => [2,1,4,3] => [3,4,1,2] => [1,2,3,4]
[[[.,.],.],[.,.]] => [1,2,4,3] => [3,4,2,1] => [1,2,3,4]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [4,1,2,3] => [1,2,3,4]
[[.,[[.,.],.]],.] => [2,3,1,4] => [4,1,3,2] => [1,3,2,4]
[[[.,.],[.,.]],.] => [1,3,2,4] => [4,2,3,1] => [1,2,3,4]
[[[.,[.,.]],.],.] => [2,1,3,4] => [4,3,1,2] => [1,2,3,4]
[[[[.,.],.],.],.] => [1,2,3,4] => [4,3,2,1] => [1,2,3,4]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,2,3,4,5] => [1,2,3,4,5]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [1,2,3,5,4] => [1,2,3,5,4]
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [1,2,4,5,3] => [1,2,4,5,3]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [1,2,5,3,4] => [1,2,5,3,4]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [1,2,5,4,3] => [1,2,5,3,4]
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [1,3,4,5,2] => [1,3,4,5,2]
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [1,3,5,4,2] => [1,3,5,2,4]
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [1,4,5,2,3] => [1,4,5,2,3]
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [1,4,5,3,2] => [1,4,5,2,3]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [1,5,2,3,4] => [1,5,2,3,4]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [1,5,2,4,3] => [1,5,2,4,3]
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [1,5,3,4,2] => [1,5,2,3,4]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [1,5,4,2,3] => [1,5,2,3,4]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [1,5,4,3,2] => [1,5,2,3,4]
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [2,3,4,5,1] => [1,2,3,4,5]
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [2,3,5,4,1] => [1,2,3,5,4]
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [2,4,5,3,1] => [1,2,4,5,3]
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [2,5,3,4,1] => [1,2,5,3,4]
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [2,5,4,3,1] => [1,2,5,3,4]
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [3,4,5,1,2] => [1,2,3,4,5]
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [3,5,4,1,2] => [1,2,3,5,4]
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [3,4,5,2,1] => [1,2,3,4,5]
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [3,5,4,2,1] => [1,2,3,5,4]
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [4,5,1,2,3] => [1,2,3,4,5]
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [4,5,1,3,2] => [1,3,2,4,5]
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [4,5,2,3,1] => [1,2,3,4,5]
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [4,5,3,1,2] => [1,2,3,4,5]
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [4,5,3,2,1] => [1,2,3,4,5]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [5,1,2,3,4] => [1,2,3,4,5]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [5,1,2,4,3] => [1,2,4,3,5]
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [5,1,3,4,2] => [1,3,4,2,5]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [5,1,4,2,3] => [1,4,2,3,5]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [5,1,4,3,2] => [1,4,2,3,5]
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [5,2,3,4,1] => [1,2,3,4,5]
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [5,2,4,3,1] => [1,2,4,3,5]
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [5,3,4,1,2] => [1,2,3,4,5]
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [5,3,4,2,1] => [1,2,3,4,5]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [5,4,1,2,3] => [1,2,3,4,5]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [5,4,1,3,2] => [1,3,2,4,5]
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [5,4,2,3,1] => [1,2,3,4,5]
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [5,4,3,1,2] => [1,2,3,4,5]
[[[[[.,.],.],.],.],.] => [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] => [1,2,3,4,5,6]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5]
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [1,2,3,5,6,4] => [1,2,3,5,6,4]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [1,2,3,6,4,5] => [1,2,3,6,4,5]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [1,2,3,6,5,4] => [1,2,3,6,4,5]
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [1,2,4,5,6,3] => [1,2,4,5,6,3]
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [1,2,4,6,5,3] => [1,2,4,6,3,5]
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [1,2,5,6,3,4] => [1,2,5,6,3,4]
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [1,2,5,6,4,3] => [1,2,5,6,3,4]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [1,2,6,3,5,4] => [1,2,6,3,5,4]
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [1,2,6,4,5,3] => [1,2,6,3,4,5]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [1,2,6,5,3,4] => [1,2,6,3,4,5]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [1,2,6,5,4,3] => [1,2,6,3,4,5]
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [1,3,4,5,6,2] => [1,3,4,5,6,2]
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [1,3,4,6,5,2] => [1,3,4,6,2,5]
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [1,3,5,6,4,2] => [1,3,5,6,2,4]
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [1,3,6,4,5,2] => [1,3,6,2,4,5]
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [1,3,6,5,4,2] => [1,3,6,2,4,5]
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [1,4,5,6,2,3] => [1,4,5,6,2,3]
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [1,4,6,5,2,3] => [1,4,6,2,3,5]
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [1,4,5,6,3,2] => [1,4,5,6,2,3]
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [1,4,6,5,3,2] => [1,4,6,2,3,5]
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [1,5,6,2,3,4] => [1,5,6,2,3,4]
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [1,5,6,2,4,3] => [1,5,6,2,4,3]
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [1,5,6,3,4,2] => [1,5,6,2,3,4]
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [1,5,6,4,2,3] => [1,5,6,2,3,4]
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [1,5,6,4,3,2] => [1,5,6,2,3,4]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [1,6,2,3,4,5] => [1,6,2,3,4,5]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [1,6,2,3,5,4] => [1,6,2,3,5,4]
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [1,6,2,4,5,3] => [1,6,2,4,5,3]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [1,6,2,5,3,4] => [1,6,2,5,3,4]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [1,6,2,5,4,3] => [1,6,2,5,3,4]
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [1,6,3,4,5,2] => [1,6,2,3,4,5]
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [1,6,3,5,4,2] => [1,6,2,3,5,4]
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [1,6,4,5,2,3] => [1,6,2,3,4,5]
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [1,6,4,5,3,2] => [1,6,2,3,4,5]
>>> Load all 1057 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [1,6,5,2,3,4] => [1,6,2,3,4,5]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [1,6,5,2,4,3] => [1,6,2,4,3,5]
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [1,6,5,3,4,2] => [1,6,2,3,4,5]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [1,6,5,4,2,3] => [1,6,2,3,4,5]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [1,6,5,4,3,2] => [1,6,2,3,4,5]
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [2,3,4,5,6,1] => [1,2,3,4,5,6]
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [2,3,4,6,5,1] => [1,2,3,4,6,5]
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [2,3,5,6,4,1] => [1,2,3,5,6,4]
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [2,3,6,4,5,1] => [1,2,3,6,4,5]
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [2,3,6,5,4,1] => [1,2,3,6,4,5]
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [2,4,5,6,3,1] => [1,2,4,5,6,3]
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [2,4,6,5,3,1] => [1,2,4,6,3,5]
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [2,5,6,3,4,1] => [1,2,5,6,3,4]
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [2,5,6,4,3,1] => [1,2,5,6,3,4]
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [2,6,3,4,5,1] => [1,2,6,3,4,5]
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [2,6,3,5,4,1] => [1,2,6,3,5,4]
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [2,6,4,5,3,1] => [1,2,6,3,4,5]
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [2,6,5,3,4,1] => [1,2,6,3,4,5]
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [2,6,5,4,3,1] => [1,2,6,3,4,5]
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [3,4,5,6,1,2] => [1,2,3,4,5,6]
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [3,4,6,5,1,2] => [1,2,3,4,6,5]
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [3,5,6,4,1,2] => [1,2,3,5,6,4]
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [3,6,4,5,1,2] => [1,2,3,6,4,5]
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [3,6,5,4,1,2] => [1,2,3,6,4,5]
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [3,4,5,6,2,1] => [1,2,3,4,5,6]
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [3,4,6,5,2,1] => [1,2,3,4,6,5]
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [3,5,6,4,2,1] => [1,2,3,5,6,4]
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [3,6,4,5,2,1] => [1,2,3,6,4,5]
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [3,6,5,4,2,1] => [1,2,3,6,4,5]
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [4,5,6,1,2,3] => [1,2,3,4,5,6]
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [4,6,5,1,2,3] => [1,2,3,4,6,5]
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [4,5,6,1,3,2] => [1,3,2,4,5,6]
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [4,6,5,1,3,2] => [1,3,2,4,6,5]
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [4,5,6,2,3,1] => [1,2,3,4,5,6]
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [4,6,5,2,3,1] => [1,2,3,4,6,5]
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [4,5,6,3,1,2] => [1,2,3,4,5,6]
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [4,6,5,3,1,2] => [1,2,3,4,6,5]
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [4,5,6,3,2,1] => [1,2,3,4,5,6]
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [4,6,5,3,2,1] => [1,2,3,4,6,5]
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [5,6,1,2,3,4] => [1,2,3,4,5,6]
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [5,6,1,2,4,3] => [1,2,4,3,5,6]
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [5,6,1,3,4,2] => [1,3,4,2,5,6]
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [5,6,1,4,2,3] => [1,4,2,3,5,6]
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [5,6,1,4,3,2] => [1,4,2,3,5,6]
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [5,6,2,3,4,1] => [1,2,3,4,5,6]
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [5,6,2,4,3,1] => [1,2,4,3,5,6]
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [5,6,3,4,1,2] => [1,2,3,4,5,6]
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [5,6,3,4,2,1] => [1,2,3,4,5,6]
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [5,6,4,1,2,3] => [1,2,3,4,5,6]
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [5,6,4,1,3,2] => [1,3,2,4,5,6]
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [5,6,4,2,3,1] => [1,2,3,4,5,6]
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [5,6,4,3,1,2] => [1,2,3,4,5,6]
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [1,2,3,4,5,6]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [6,1,2,3,4,5] => [1,2,3,4,5,6]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [6,1,2,3,5,4] => [1,2,3,5,4,6]
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [6,1,2,4,5,3] => [1,2,4,5,3,6]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [6,1,2,5,3,4] => [1,2,5,3,4,6]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [6,1,2,5,4,3] => [1,2,5,3,4,6]
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [6,1,3,4,5,2] => [1,3,4,5,2,6]
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [6,1,3,5,4,2] => [1,3,5,2,4,6]
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [6,1,4,5,2,3] => [1,4,5,2,3,6]
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [6,1,4,5,3,2] => [1,4,5,2,3,6]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [6,1,5,2,3,4] => [1,5,2,3,4,6]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [6,1,5,2,4,3] => [1,5,2,4,3,6]
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [6,1,5,3,4,2] => [1,5,2,3,4,6]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [6,1,5,4,2,3] => [1,5,2,3,4,6]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [6,1,5,4,3,2] => [1,5,2,3,4,6]
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,2,3,4,5,6]
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [6,2,3,5,4,1] => [1,2,3,5,4,6]
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [6,2,4,5,3,1] => [1,2,4,5,3,6]
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [6,2,5,3,4,1] => [1,2,5,3,4,6]
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [6,2,5,4,3,1] => [1,2,5,3,4,6]
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [6,3,4,5,1,2] => [1,2,3,4,5,6]
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [6,3,5,4,1,2] => [1,2,3,5,4,6]
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [6,3,4,5,2,1] => [1,2,3,4,5,6]
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [6,3,5,4,2,1] => [1,2,3,5,4,6]
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [6,4,5,1,2,3] => [1,2,3,4,5,6]
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [6,4,5,1,3,2] => [1,3,2,4,5,6]
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [1,2,3,4,5,6]
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [6,4,5,3,1,2] => [1,2,3,4,5,6]
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [1,2,3,4,5,6]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [6,5,1,2,3,4] => [1,2,3,4,5,6]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [6,5,1,2,4,3] => [1,2,4,3,5,6]
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [6,5,1,3,4,2] => [1,3,4,2,5,6]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [6,5,1,4,2,3] => [1,4,2,3,5,6]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [6,5,1,4,3,2] => [1,4,2,3,5,6]
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [6,5,2,3,4,1] => [1,2,3,4,5,6]
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [6,5,2,4,3,1] => [1,2,4,3,5,6]
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [6,5,3,4,1,2] => [1,2,3,4,5,6]
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,2,3,4,5,6]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [6,5,4,1,2,3] => [1,2,3,4,5,6]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [6,5,4,1,3,2] => [1,3,2,4,5,6]
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [1,2,3,4,5,6]
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [6,5,4,3,1,2] => [1,2,3,4,5,6]
[[[[[[.,.],.],.],.],.],.] => [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] => [1,2,3,4,5,6,7]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [1,2,3,4,6,7,5] => [1,2,3,4,6,7,5]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [1,2,3,4,7,6,5] => [1,2,3,4,7,5,6]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [1,2,3,5,6,7,4] => [1,2,3,5,6,7,4]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [1,2,3,5,7,6,4] => [1,2,3,5,7,4,6]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [1,2,3,6,7,4,5] => [1,2,3,6,7,4,5]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [1,2,3,6,7,5,4] => [1,2,3,6,7,4,5]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [1,2,3,7,4,6,5] => [1,2,3,7,4,6,5]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [1,2,3,7,5,6,4] => [1,2,3,7,4,5,6]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [1,2,3,7,6,4,5] => [1,2,3,7,4,5,6]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [1,2,3,7,6,5,4] => [1,2,3,7,4,5,6]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [1,2,4,5,6,7,3] => [1,2,4,5,6,7,3]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [1,2,4,5,7,6,3] => [1,2,4,5,7,3,6]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [1,2,4,6,7,5,3] => [1,2,4,6,7,3,5]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [1,2,4,7,5,6,3] => [1,2,4,7,3,5,6]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [1,2,4,7,6,5,3] => [1,2,4,7,3,5,6]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [1,2,5,6,7,3,4] => [1,2,5,6,7,3,4]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [1,2,5,7,6,3,4] => [1,2,5,7,3,4,6]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [1,2,5,6,7,4,3] => [1,2,5,6,7,3,4]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [1,2,5,7,6,4,3] => [1,2,5,7,3,4,6]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [1,2,6,7,3,4,5] => [1,2,6,7,3,4,5]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [1,2,6,7,3,5,4] => [1,2,6,7,3,5,4]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [1,2,6,7,4,5,3] => [1,2,6,7,3,4,5]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [1,2,6,7,5,3,4] => [1,2,6,7,3,4,5]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [1,2,6,7,5,4,3] => [1,2,6,7,3,4,5]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [1,2,7,3,4,6,5] => [1,2,7,3,4,6,5]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [1,2,7,3,5,6,4] => [1,2,7,3,5,6,4]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [1,2,7,3,6,4,5] => [1,2,7,3,6,4,5]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [1,2,7,3,6,5,4] => [1,2,7,3,6,4,5]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [1,2,7,4,5,6,3] => [1,2,7,3,4,5,6]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [1,2,7,4,6,5,3] => [1,2,7,3,4,6,5]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [1,2,7,5,6,3,4] => [1,2,7,3,4,5,6]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [1,2,7,5,6,4,3] => [1,2,7,3,4,5,6]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [1,2,7,6,3,4,5] => [1,2,7,3,4,5,6]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [1,2,7,6,3,5,4] => [1,2,7,3,5,4,6]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [1,2,7,6,4,5,3] => [1,2,7,3,4,5,6]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [1,2,7,6,5,3,4] => [1,2,7,3,4,5,6]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [1,2,7,6,5,4,3] => [1,2,7,3,4,5,6]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [1,3,4,5,6,7,2] => [1,3,4,5,6,7,2]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [1,3,4,5,7,6,2] => [1,3,4,5,7,2,6]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [1,3,4,6,7,5,2] => [1,3,4,6,7,2,5]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [1,3,4,7,5,6,2] => [1,3,4,7,2,5,6]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [1,3,4,7,6,5,2] => [1,3,4,7,2,5,6]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [1,3,5,6,7,4,2] => [1,3,5,6,7,2,4]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [1,3,5,7,6,4,2] => [1,3,5,7,2,4,6]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [1,3,6,7,4,5,2] => [1,3,6,7,2,4,5]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [1,3,6,7,5,4,2] => [1,3,6,7,2,4,5]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [1,3,7,4,5,6,2] => [1,3,7,2,4,5,6]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [1,3,7,4,6,5,2] => [1,3,7,2,4,6,5]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [1,3,7,5,6,4,2] => [1,3,7,2,4,5,6]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [1,3,7,6,4,5,2] => [1,3,7,2,4,5,6]
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [1,3,7,6,5,4,2] => [1,3,7,2,4,5,6]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [1,4,5,6,7,2,3] => [1,4,5,6,7,2,3]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [1,4,5,7,6,2,3] => [1,4,5,7,2,3,6]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [1,4,6,7,5,2,3] => [1,4,6,7,2,3,5]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [1,4,7,5,6,2,3] => [1,4,7,2,3,5,6]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [1,4,7,6,5,2,3] => [1,4,7,2,3,5,6]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [1,4,5,6,7,3,2] => [1,4,5,6,7,2,3]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [1,4,5,7,6,3,2] => [1,4,5,7,2,3,6]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [1,4,6,7,5,3,2] => [1,4,6,7,2,3,5]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [1,4,7,5,6,3,2] => [1,4,7,2,3,5,6]
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [1,4,7,6,5,3,2] => [1,4,7,2,3,5,6]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [1,5,6,7,2,3,4] => [1,5,6,7,2,3,4]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [1,5,7,6,2,3,4] => [1,5,7,2,3,4,6]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [1,5,6,7,2,4,3] => [1,5,6,7,2,4,3]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [1,5,7,6,2,4,3] => [1,5,7,2,4,3,6]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [1,5,6,7,3,4,2] => [1,5,6,7,2,3,4]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [1,5,7,6,3,4,2] => [1,5,7,2,3,4,6]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [1,5,6,7,4,2,3] => [1,5,6,7,2,3,4]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [1,5,7,6,4,2,3] => [1,5,7,2,3,4,6]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [1,5,6,7,4,3,2] => [1,5,6,7,2,3,4]
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [1,5,7,6,4,3,2] => [1,5,7,2,3,4,6]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [1,6,7,2,3,4,5] => [1,6,7,2,3,4,5]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [1,6,7,2,3,5,4] => [1,6,7,2,3,5,4]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [1,6,7,2,4,5,3] => [1,6,7,2,4,5,3]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [1,6,7,2,5,3,4] => [1,6,7,2,5,3,4]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [1,6,7,2,5,4,3] => [1,6,7,2,5,3,4]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [1,6,7,3,4,5,2] => [1,6,7,2,3,4,5]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [1,6,7,3,5,4,2] => [1,6,7,2,3,5,4]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [1,6,7,4,5,2,3] => [1,6,7,2,3,4,5]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [1,6,7,4,5,3,2] => [1,6,7,2,3,4,5]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [1,6,7,5,2,3,4] => [1,6,7,2,3,4,5]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [1,6,7,5,2,4,3] => [1,6,7,2,4,3,5]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [1,6,7,5,3,4,2] => [1,6,7,2,3,4,5]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [1,6,7,5,4,2,3] => [1,6,7,2,3,4,5]
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [1,6,7,5,4,3,2] => [1,6,7,2,3,4,5]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [1,7,2,3,4,6,5] => [1,7,2,3,4,6,5]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [1,7,2,3,5,6,4] => [1,7,2,3,5,6,4]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [1,7,2,3,6,4,5] => [1,7,2,3,6,4,5]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [1,7,2,3,6,5,4] => [1,7,2,3,6,4,5]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [1,7,2,4,5,6,3] => [1,7,2,4,5,6,3]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [1,7,2,4,6,5,3] => [1,7,2,4,6,3,5]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [1,7,2,5,6,3,4] => [1,7,2,5,6,3,4]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [1,7,2,5,6,4,3] => [1,7,2,5,6,3,4]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [1,7,2,6,3,4,5] => [1,7,2,6,3,4,5]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [1,7,2,6,3,5,4] => [1,7,2,6,3,5,4]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [1,7,2,6,4,5,3] => [1,7,2,6,3,4,5]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [1,7,2,6,5,3,4] => [1,7,2,6,3,4,5]
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [1,7,2,6,5,4,3] => [1,7,2,6,3,4,5]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [1,7,3,4,5,6,2] => [1,7,2,3,4,5,6]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [1,7,3,4,6,5,2] => [1,7,2,3,4,6,5]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [1,7,3,5,6,4,2] => [1,7,2,3,5,6,4]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [1,7,3,6,4,5,2] => [1,7,2,3,6,4,5]
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [1,7,3,6,5,4,2] => [1,7,2,3,6,4,5]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [1,7,4,5,6,2,3] => [1,7,2,3,4,5,6]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [1,7,4,6,5,2,3] => [1,7,2,3,4,6,5]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [1,7,4,5,6,3,2] => [1,7,2,3,4,5,6]
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [1,7,4,6,5,3,2] => [1,7,2,3,4,6,5]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [1,7,5,6,2,3,4] => [1,7,2,3,4,5,6]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [1,7,5,6,2,4,3] => [1,7,2,4,3,5,6]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [1,7,5,6,3,4,2] => [1,7,2,3,4,5,6]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [1,7,5,6,4,2,3] => [1,7,2,3,4,5,6]
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [1,7,5,6,4,3,2] => [1,7,2,3,4,5,6]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [1,7,6,2,3,4,5] => [1,7,2,3,4,5,6]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [1,7,6,2,3,5,4] => [1,7,2,3,5,4,6]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [1,7,6,2,4,5,3] => [1,7,2,4,5,3,6]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [1,7,6,2,5,3,4] => [1,7,2,5,3,4,6]
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [1,7,6,2,5,4,3] => [1,7,2,5,3,4,6]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [1,7,6,3,4,5,2] => [1,7,2,3,4,5,6]
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [1,7,6,3,5,4,2] => [1,7,2,3,5,4,6]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [1,7,6,4,5,2,3] => [1,7,2,3,4,5,6]
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [1,7,6,4,5,3,2] => [1,7,2,3,4,5,6]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [1,7,6,5,2,3,4] => [1,7,2,3,4,5,6]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [1,7,6,5,2,4,3] => [1,7,2,4,3,5,6]
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [1,7,6,5,3,4,2] => [1,7,2,3,4,5,6]
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [1,7,6,5,4,2,3] => [1,7,2,3,4,5,6]
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [1,7,6,5,4,3,2] => [1,7,2,3,4,5,6]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [2,3,5,7,6,4,1] => [1,2,3,5,7,4,6]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [2,3,7,4,5,6,1] => [1,2,3,7,4,5,6]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [2,3,7,4,6,5,1] => [1,2,3,7,4,6,5]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [2,3,7,5,6,4,1] => [1,2,3,7,4,5,6]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [2,3,7,6,4,5,1] => [1,2,3,7,4,5,6]
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [2,3,7,6,5,4,1] => [1,2,3,7,4,5,6]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [2,4,5,7,6,3,1] => [1,2,4,5,7,3,6]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [2,4,6,7,5,3,1] => [1,2,4,6,7,3,5]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [2,4,7,5,6,3,1] => [1,2,4,7,3,5,6]
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [2,4,7,6,5,3,1] => [1,2,4,7,3,5,6]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [2,5,7,6,3,4,1] => [1,2,5,7,3,4,6]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4]
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [2,5,7,6,4,3,1] => [1,2,5,7,3,4,6]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [2,6,7,3,4,5,1] => [1,2,6,7,3,4,5]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [2,6,7,3,5,4,1] => [1,2,6,7,3,5,4]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [2,6,7,4,5,3,1] => [1,2,6,7,3,4,5]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [2,6,7,5,3,4,1] => [1,2,6,7,3,4,5]
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [2,6,7,5,4,3,1] => [1,2,6,7,3,4,5]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [2,7,3,4,5,6,1] => [1,2,7,3,4,5,6]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [2,7,3,4,6,5,1] => [1,2,7,3,4,6,5]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [2,7,3,5,6,4,1] => [1,2,7,3,5,6,4]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [2,7,3,6,4,5,1] => [1,2,7,3,6,4,5]
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [2,7,3,6,5,4,1] => [1,2,7,3,6,4,5]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [2,7,4,5,6,3,1] => [1,2,7,3,4,5,6]
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [2,7,4,6,5,3,1] => [1,2,7,3,4,6,5]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [2,7,5,6,3,4,1] => [1,2,7,3,4,5,6]
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [2,7,5,6,4,3,1] => [1,2,7,3,4,5,6]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [2,7,6,3,4,5,1] => [1,2,7,3,4,5,6]
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [2,7,6,3,5,4,1] => [1,2,7,3,5,4,6]
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [2,7,6,4,5,3,1] => [1,2,7,3,4,5,6]
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [2,7,6,5,3,4,1] => [1,2,7,3,4,5,6]
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [2,7,6,5,4,3,1] => [1,2,7,3,4,5,6]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [3,4,5,6,7,1,2] => [1,2,3,4,5,6,7]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [3,4,5,7,6,1,2] => [1,2,3,4,5,7,6]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [3,4,6,7,5,1,2] => [1,2,3,4,6,7,5]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [3,4,7,5,6,1,2] => [1,2,3,4,7,5,6]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,4,7,6,5,1,2] => [1,2,3,4,7,5,6]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [3,5,6,7,4,1,2] => [1,2,3,5,6,7,4]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,5,7,6,4,1,2] => [1,2,3,5,7,4,6]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,6,7,4,5,1,2] => [1,2,3,6,7,4,5]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,6,7,5,4,1,2] => [1,2,3,6,7,4,5]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [3,7,4,5,6,1,2] => [1,2,3,7,4,5,6]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,7,4,6,5,1,2] => [1,2,3,7,4,6,5]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,7,5,6,4,1,2] => [1,2,3,7,4,5,6]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,7,6,4,5,1,2] => [1,2,3,7,4,5,6]
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [3,7,6,5,4,1,2] => [1,2,3,7,4,5,6]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [3,4,5,6,7,2,1] => [1,2,3,4,5,6,7]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [3,4,5,7,6,2,1] => [1,2,3,4,5,7,6]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [3,4,6,7,5,2,1] => [1,2,3,4,6,7,5]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [3,4,7,5,6,2,1] => [1,2,3,4,7,5,6]
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,4,7,6,5,2,1] => [1,2,3,4,7,5,6]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [3,5,6,7,4,2,1] => [1,2,3,5,6,7,4]
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,5,7,6,4,2,1] => [1,2,3,5,7,4,6]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,6,7,4,5,2,1] => [1,2,3,6,7,4,5]
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,6,7,5,4,2,1] => [1,2,3,6,7,4,5]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [3,7,4,5,6,2,1] => [1,2,3,7,4,5,6]
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,7,4,6,5,2,1] => [1,2,3,7,4,6,5]
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,7,5,6,4,2,1] => [1,2,3,7,4,5,6]
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,7,6,4,5,2,1] => [1,2,3,7,4,5,6]
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [3,7,6,5,4,2,1] => [1,2,3,7,4,5,6]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,5,6,7,1,2,3] => [1,2,3,4,5,6,7]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [4,5,7,6,1,2,3] => [1,2,3,4,5,7,6]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [4,6,7,5,1,2,3] => [1,2,3,4,6,7,5]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [4,7,5,6,1,2,3] => [1,2,3,4,7,5,6]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [4,7,6,5,1,2,3] => [1,2,3,4,7,5,6]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,5,6,7,1,3,2] => [1,3,2,4,5,6,7]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [4,5,7,6,1,3,2] => [1,3,2,4,5,7,6]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [4,6,7,5,1,3,2] => [1,3,2,4,6,7,5]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [4,7,5,6,1,3,2] => [1,3,2,4,7,5,6]
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [4,7,6,5,1,3,2] => [1,3,2,4,7,5,6]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,5,6,7,2,3,1] => [1,2,3,4,5,6,7]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [4,5,7,6,2,3,1] => [1,2,3,4,5,7,6]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [4,6,7,5,2,3,1] => [1,2,3,4,6,7,5]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [4,7,5,6,2,3,1] => [1,2,3,4,7,5,6]
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [4,7,6,5,2,3,1] => [1,2,3,4,7,5,6]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,5,6,7,3,1,2] => [1,2,3,4,5,6,7]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [4,5,7,6,3,1,2] => [1,2,3,4,5,7,6]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [4,6,7,5,3,1,2] => [1,2,3,4,6,7,5]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [4,7,5,6,3,1,2] => [1,2,3,4,7,5,6]
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [4,7,6,5,3,1,2] => [1,2,3,4,7,5,6]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,5,6,7,3,2,1] => [1,2,3,4,5,6,7]
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [4,5,7,6,3,2,1] => [1,2,3,4,5,7,6]
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [4,6,7,5,3,2,1] => [1,2,3,4,6,7,5]
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [4,7,5,6,3,2,1] => [1,2,3,4,7,5,6]
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [4,7,6,5,3,2,1] => [1,2,3,4,7,5,6]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [5,6,7,1,2,3,4] => [1,2,3,4,5,6,7]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [5,7,6,1,2,3,4] => [1,2,3,4,5,7,6]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [5,6,7,1,2,4,3] => [1,2,4,3,5,6,7]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [5,7,6,1,2,4,3] => [1,2,4,3,5,7,6]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [5,6,7,1,3,4,2] => [1,3,4,2,5,6,7]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [5,7,6,1,3,4,2] => [1,3,4,2,5,7,6]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [5,6,7,1,4,2,3] => [1,4,2,3,5,6,7]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [5,7,6,1,4,2,3] => [1,4,2,3,5,7,6]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [5,6,7,1,4,3,2] => [1,4,2,3,5,6,7]
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [5,7,6,1,4,3,2] => [1,4,2,3,5,7,6]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [5,6,7,2,3,4,1] => [1,2,3,4,5,6,7]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [5,7,6,2,3,4,1] => [1,2,3,4,5,7,6]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [5,6,7,2,4,3,1] => [1,2,4,3,5,6,7]
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [5,7,6,2,4,3,1] => [1,2,4,3,5,7,6]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [5,6,7,3,4,1,2] => [1,2,3,4,5,6,7]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [5,7,6,3,4,1,2] => [1,2,3,4,5,7,6]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [5,6,7,3,4,2,1] => [1,2,3,4,5,6,7]
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [5,7,6,3,4,2,1] => [1,2,3,4,5,7,6]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [5,6,7,4,1,2,3] => [1,2,3,4,5,6,7]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [5,7,6,4,1,2,3] => [1,2,3,4,5,7,6]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [5,6,7,4,1,3,2] => [1,3,2,4,5,6,7]
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [5,7,6,4,1,3,2] => [1,3,2,4,5,7,6]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [5,6,7,4,2,3,1] => [1,2,3,4,5,6,7]
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [5,7,6,4,2,3,1] => [1,2,3,4,5,7,6]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [5,6,7,4,3,1,2] => [1,2,3,4,5,6,7]
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [5,7,6,4,3,1,2] => [1,2,3,4,5,7,6]
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [5,6,7,4,3,2,1] => [1,2,3,4,5,6,7]
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [5,7,6,4,3,2,1] => [1,2,3,4,5,7,6]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [6,7,1,2,3,4,5] => [1,2,3,4,5,6,7]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [6,7,1,2,3,5,4] => [1,2,3,5,4,6,7]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [6,7,1,2,4,5,3] => [1,2,4,5,3,6,7]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [6,7,1,2,5,3,4] => [1,2,5,3,4,6,7]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [6,7,1,2,5,4,3] => [1,2,5,3,4,6,7]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [6,7,1,3,4,5,2] => [1,3,4,5,2,6,7]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [6,7,1,3,5,4,2] => [1,3,5,2,4,6,7]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [6,7,1,4,5,2,3] => [1,4,5,2,3,6,7]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [6,7,1,4,5,3,2] => [1,4,5,2,3,6,7]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [6,7,1,5,2,3,4] => [1,5,2,3,4,6,7]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [6,7,1,5,2,4,3] => [1,5,2,4,3,6,7]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [6,7,1,5,3,4,2] => [1,5,2,3,4,6,7]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [6,7,1,5,4,2,3] => [1,5,2,3,4,6,7]
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [6,7,1,5,4,3,2] => [1,5,2,3,4,6,7]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [6,7,2,3,4,5,1] => [1,2,3,4,5,6,7]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [6,7,2,3,5,4,1] => [1,2,3,5,4,6,7]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [6,7,2,4,5,3,1] => [1,2,4,5,3,6,7]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [6,7,2,5,3,4,1] => [1,2,5,3,4,6,7]
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [6,7,2,5,4,3,1] => [1,2,5,3,4,6,7]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [6,7,3,4,5,1,2] => [1,2,3,4,5,6,7]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [6,7,3,5,4,1,2] => [1,2,3,5,4,6,7]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [6,7,3,4,5,2,1] => [1,2,3,4,5,6,7]
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [6,7,3,5,4,2,1] => [1,2,3,5,4,6,7]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [6,7,4,5,1,2,3] => [1,2,3,4,5,6,7]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [6,7,4,5,1,3,2] => [1,3,2,4,5,6,7]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [6,7,4,5,2,3,1] => [1,2,3,4,5,6,7]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [6,7,4,5,3,1,2] => [1,2,3,4,5,6,7]
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [6,7,4,5,3,2,1] => [1,2,3,4,5,6,7]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [6,7,5,1,2,3,4] => [1,2,3,4,5,6,7]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [6,7,5,1,2,4,3] => [1,2,4,3,5,6,7]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [6,7,5,1,3,4,2] => [1,3,4,2,5,6,7]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [6,7,5,1,4,2,3] => [1,4,2,3,5,6,7]
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [6,7,5,1,4,3,2] => [1,4,2,3,5,6,7]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [6,7,5,2,3,4,1] => [1,2,3,4,5,6,7]
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [6,7,5,2,4,3,1] => [1,2,4,3,5,6,7]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [6,7,5,3,4,1,2] => [1,2,3,4,5,6,7]
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [6,7,5,3,4,2,1] => [1,2,3,4,5,6,7]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [6,7,5,4,1,2,3] => [1,2,3,4,5,6,7]
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [6,7,5,4,1,3,2] => [1,3,2,4,5,6,7]
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [6,7,5,4,2,3,1] => [1,2,3,4,5,6,7]
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [6,7,5,4,3,1,2] => [1,2,3,4,5,6,7]
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [6,7,5,4,3,2,1] => [1,2,3,4,5,6,7]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [7,1,2,3,4,5,6] => [1,2,3,4,5,6,7]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [7,1,2,3,4,6,5] => [1,2,3,4,6,5,7]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [7,1,2,3,5,6,4] => [1,2,3,5,6,4,7]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [7,1,2,3,6,4,5] => [1,2,3,6,4,5,7]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [7,1,2,3,6,5,4] => [1,2,3,6,4,5,7]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [7,1,2,4,5,6,3] => [1,2,4,5,6,3,7]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [7,1,2,4,6,5,3] => [1,2,4,6,3,5,7]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [7,1,2,5,6,3,4] => [1,2,5,6,3,4,7]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [7,1,2,5,6,4,3] => [1,2,5,6,3,4,7]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [7,1,2,6,3,4,5] => [1,2,6,3,4,5,7]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [7,1,2,6,3,5,4] => [1,2,6,3,5,4,7]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [7,1,2,6,4,5,3] => [1,2,6,3,4,5,7]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [7,1,2,6,5,3,4] => [1,2,6,3,4,5,7]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [7,1,2,6,5,4,3] => [1,2,6,3,4,5,7]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [7,1,3,4,5,6,2] => [1,3,4,5,6,2,7]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [7,1,3,4,6,5,2] => [1,3,4,6,2,5,7]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [7,1,3,5,6,4,2] => [1,3,5,6,2,4,7]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [7,1,3,6,4,5,2] => [1,3,6,2,4,5,7]
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [7,1,3,6,5,4,2] => [1,3,6,2,4,5,7]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [7,1,4,5,6,2,3] => [1,4,5,6,2,3,7]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [7,1,4,6,5,2,3] => [1,4,6,2,3,5,7]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [7,1,4,5,6,3,2] => [1,4,5,6,2,3,7]
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [7,1,4,6,5,3,2] => [1,4,6,2,3,5,7]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [7,1,5,6,2,3,4] => [1,5,6,2,3,4,7]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [7,1,5,6,2,4,3] => [1,5,6,2,4,3,7]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [7,1,5,6,3,4,2] => [1,5,6,2,3,4,7]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [7,1,5,6,4,2,3] => [1,5,6,2,3,4,7]
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [7,1,5,6,4,3,2] => [1,5,6,2,3,4,7]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [7,1,6,2,3,4,5] => [1,6,2,3,4,5,7]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [7,1,6,2,3,5,4] => [1,6,2,3,5,4,7]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [7,1,6,2,4,5,3] => [1,6,2,4,5,3,7]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [7,1,6,2,5,3,4] => [1,6,2,5,3,4,7]
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [7,1,6,2,5,4,3] => [1,6,2,5,3,4,7]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [7,1,6,3,4,5,2] => [1,6,2,3,4,5,7]
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [7,1,6,3,5,4,2] => [1,6,2,3,5,4,7]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [7,1,6,4,5,2,3] => [1,6,2,3,4,5,7]
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [7,1,6,4,5,3,2] => [1,6,2,3,4,5,7]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [7,1,6,5,2,3,4] => [1,6,2,3,4,5,7]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [7,1,6,5,2,4,3] => [1,6,2,4,3,5,7]
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [7,1,6,5,3,4,2] => [1,6,2,3,4,5,7]
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [7,1,6,5,4,2,3] => [1,6,2,3,4,5,7]
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [7,1,6,5,4,3,2] => [1,6,2,3,4,5,7]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,2,3,4,5,6,7]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [7,2,3,4,6,5,1] => [1,2,3,4,6,5,7]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [7,2,3,5,6,4,1] => [1,2,3,5,6,4,7]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [7,2,3,6,4,5,1] => [1,2,3,6,4,5,7]
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [7,2,3,6,5,4,1] => [1,2,3,6,4,5,7]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [7,2,4,5,6,3,1] => [1,2,4,5,6,3,7]
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [7,2,4,6,5,3,1] => [1,2,4,6,3,5,7]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [7,2,5,6,3,4,1] => [1,2,5,6,3,4,7]
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [7,2,5,6,4,3,1] => [1,2,5,6,3,4,7]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [7,2,6,3,4,5,1] => [1,2,6,3,4,5,7]
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [7,2,6,3,5,4,1] => [1,2,6,3,5,4,7]
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [7,2,6,4,5,3,1] => [1,2,6,3,4,5,7]
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [7,2,6,5,3,4,1] => [1,2,6,3,4,5,7]
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [7,2,6,5,4,3,1] => [1,2,6,3,4,5,7]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [7,3,4,5,6,1,2] => [1,2,3,4,5,6,7]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [7,3,4,6,5,1,2] => [1,2,3,4,6,5,7]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [7,3,5,6,4,1,2] => [1,2,3,5,6,4,7]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [7,3,6,4,5,1,2] => [1,2,3,6,4,5,7]
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [7,3,6,5,4,1,2] => [1,2,3,6,4,5,7]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [7,3,4,5,6,2,1] => [1,2,3,4,5,6,7]
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [7,3,4,6,5,2,1] => [1,2,3,4,6,5,7]
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [7,3,5,6,4,2,1] => [1,2,3,5,6,4,7]
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [7,3,6,4,5,2,1] => [1,2,3,6,4,5,7]
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [7,3,6,5,4,2,1] => [1,2,3,6,4,5,7]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [7,4,5,6,1,2,3] => [1,2,3,4,5,6,7]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [7,4,6,5,1,2,3] => [1,2,3,4,6,5,7]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [7,4,5,6,1,3,2] => [1,3,2,4,5,6,7]
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [7,4,6,5,1,3,2] => [1,3,2,4,6,5,7]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [7,4,5,6,2,3,1] => [1,2,3,4,5,6,7]
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [7,4,6,5,2,3,1] => [1,2,3,4,6,5,7]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [7,4,5,6,3,1,2] => [1,2,3,4,5,6,7]
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [7,4,6,5,3,1,2] => [1,2,3,4,6,5,7]
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [7,4,5,6,3,2,1] => [1,2,3,4,5,6,7]
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [7,4,6,5,3,2,1] => [1,2,3,4,6,5,7]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [7,5,6,1,2,3,4] => [1,2,3,4,5,6,7]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [7,5,6,1,2,4,3] => [1,2,4,3,5,6,7]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [7,5,6,1,3,4,2] => [1,3,4,2,5,6,7]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [7,5,6,1,4,2,3] => [1,4,2,3,5,6,7]
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [7,5,6,1,4,3,2] => [1,4,2,3,5,6,7]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [7,5,6,2,3,4,1] => [1,2,3,4,5,6,7]
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [7,5,6,2,4,3,1] => [1,2,4,3,5,6,7]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [7,5,6,3,4,1,2] => [1,2,3,4,5,6,7]
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [7,5,6,3,4,2,1] => [1,2,3,4,5,6,7]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [7,5,6,4,1,2,3] => [1,2,3,4,5,6,7]
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [7,5,6,4,1,3,2] => [1,3,2,4,5,6,7]
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,2,3,4,5,6,7]
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [7,5,6,4,3,1,2] => [1,2,3,4,5,6,7]
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [7,5,6,4,3,2,1] => [1,2,3,4,5,6,7]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [7,6,1,2,3,4,5] => [1,2,3,4,5,6,7]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [7,6,1,2,3,5,4] => [1,2,3,5,4,6,7]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [7,6,1,2,4,5,3] => [1,2,4,5,3,6,7]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [7,6,1,2,5,3,4] => [1,2,5,3,4,6,7]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [7,6,1,2,5,4,3] => [1,2,5,3,4,6,7]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [7,6,1,3,4,5,2] => [1,3,4,5,2,6,7]
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [7,6,1,3,5,4,2] => [1,3,5,2,4,6,7]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [7,6,1,4,5,2,3] => [1,4,5,2,3,6,7]
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [7,6,1,4,5,3,2] => [1,4,5,2,3,6,7]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [7,6,1,5,2,3,4] => [1,5,2,3,4,6,7]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [7,6,1,5,2,4,3] => [1,5,2,4,3,6,7]
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [7,6,1,5,3,4,2] => [1,5,2,3,4,6,7]
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [7,6,1,5,4,2,3] => [1,5,2,3,4,6,7]
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [7,6,1,5,4,3,2] => [1,5,2,3,4,6,7]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [7,6,2,3,4,5,1] => [1,2,3,4,5,6,7]
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [7,6,2,3,5,4,1] => [1,2,3,5,4,6,7]
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [7,6,2,4,5,3,1] => [1,2,4,5,3,6,7]
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [7,6,2,5,3,4,1] => [1,2,5,3,4,6,7]
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [7,6,2,5,4,3,1] => [1,2,5,3,4,6,7]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [7,6,3,4,5,1,2] => [1,2,3,4,5,6,7]
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [7,6,3,5,4,1,2] => [1,2,3,5,4,6,7]
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,2,3,4,5,6,7]
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [7,6,3,5,4,2,1] => [1,2,3,5,4,6,7]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [7,6,4,5,1,2,3] => [1,2,3,4,5,6,7]
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [7,6,4,5,1,3,2] => [1,3,2,4,5,6,7]
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [7,6,4,5,2,3,1] => [1,2,3,4,5,6,7]
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [7,6,4,5,3,1,2] => [1,2,3,4,5,6,7]
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [7,6,4,5,3,2,1] => [1,2,3,4,5,6,7]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [7,6,5,1,2,3,4] => [1,2,3,4,5,6,7]
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [7,6,5,1,2,4,3] => [1,2,4,3,5,6,7]
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [7,6,5,1,3,4,2] => [1,3,4,2,5,6,7]
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [7,6,5,1,4,2,3] => [1,4,2,3,5,6,7]
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [7,6,5,1,4,3,2] => [1,4,2,3,5,6,7]
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [7,6,5,2,3,4,1] => [1,2,3,4,5,6,7]
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [7,6,5,2,4,3,1] => [1,2,4,3,5,6,7]
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [7,6,5,3,4,1,2] => [1,2,3,4,5,6,7]
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [7,6,5,3,4,2,1] => [1,2,3,4,5,6,7]
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [7,6,5,4,1,2,3] => [1,2,3,4,5,6,7]
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [7,6,5,4,1,3,2] => [1,3,2,4,5,6,7]
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [7,6,5,4,2,3,1] => [1,2,3,4,5,6,7]
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [7,6,5,4,3,1,2] => [1,2,3,4,5,6,7]
[[[[[[[.,.],.],.],.],.],.],.] => [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] => [1,2,3,4,5,6,7,8]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,7,8,6]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,8,6,7]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [1,2,3,4,6,7,8,5] => [1,2,3,4,6,7,8,5]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [1,2,3,4,7,8,5,6] => [1,2,3,4,7,8,5,6]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [1,2,3,4,7,8,6,5] => [1,2,3,4,7,8,5,6]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [1,2,3,4,8,6,7,5] => [1,2,3,4,8,5,6,7]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [1,2,3,4,8,7,6,5] => [1,2,3,4,8,5,6,7]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [1,2,3,5,6,7,8,4] => [1,2,3,5,6,7,8,4]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [1,2,3,5,6,8,7,4] => [1,2,3,5,6,8,4,7]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [1,2,3,5,7,8,6,4] => [1,2,3,5,7,8,4,6]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => [1,2,3,5,8,6,7,4] => [1,2,3,5,8,4,6,7]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [4,6,7,8,5,3,2,1] => [1,2,3,5,8,7,6,4] => [1,2,3,5,8,4,6,7]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [1,2,3,6,7,8,5,4] => [1,2,3,6,7,8,4,5]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [4,5,7,8,6,3,2,1] => [1,2,3,6,8,7,5,4] => [1,2,3,6,8,4,5,7]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [1,2,3,7,8,5,6,4] => [1,2,3,7,8,4,5,6]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [1,2,3,7,8,6,5,4] => [1,2,3,7,8,4,5,6]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [1,2,3,8,4,7,5,6] => [1,2,3,8,4,7,5,6]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [1,2,3,8,5,6,7,4] => [1,2,3,8,4,5,6,7]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [1,2,3,8,5,7,6,4] => [1,2,3,8,4,5,7,6]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [1,2,3,8,6,7,5,4] => [1,2,3,8,4,5,6,7]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => [1,2,3,8,7,5,6,4] => [1,2,3,8,4,5,6,7]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [1,2,3,8,7,6,5,4] => [1,2,3,8,4,5,6,7]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [1,2,4,5,6,7,8,3] => [1,2,4,5,6,7,8,3]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [1,2,4,5,8,6,7,3] => [1,2,4,5,8,3,6,7]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [1,2,4,6,7,8,5,3] => [1,2,4,6,7,8,3,5]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [1,2,4,7,8,6,5,3] => [1,2,4,7,8,3,5,6]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [1,2,4,8,7,6,5,3] => [1,2,4,8,3,5,6,7]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [1,2,5,6,7,8,3,4] => [1,2,5,6,7,8,3,4]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [1,2,5,6,7,8,4,3] => [1,2,5,6,7,8,3,4]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [1,2,6,7,8,5,4,3] => [1,2,6,7,8,3,4,5]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [1,2,8,3,4,6,7,5] => [1,2,8,3,4,6,7,5]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [1,2,8,3,7,4,5,6] => [1,2,8,3,7,4,5,6]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [1,2,8,3,7,6,4,5] => [1,2,8,3,7,4,5,6]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [1,2,8,3,7,6,5,4] => [1,2,8,3,7,4,5,6]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [1,2,8,7,3,4,5,6] => [1,2,8,3,4,5,6,7]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1] => [1,2,8,7,4,5,6,3] => [1,2,8,3,4,5,6,7]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [1,2,8,7,6,3,4,5] => [1,2,8,3,4,5,6,7]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [1,3,4,5,6,7,8,2] => [1,3,4,5,6,7,8,2]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [1,3,4,5,6,8,7,2] => [1,3,4,5,6,8,2,7]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [1,3,4,5,7,8,6,2] => [1,3,4,5,7,8,2,6]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [1,3,4,8,7,6,5,2] => [1,3,4,8,2,5,6,7]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [1,3,5,6,7,8,4,2] => [1,3,5,6,7,8,2,4]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [1,3,5,7,8,6,4,2] => [1,3,5,7,8,2,4,6]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [1,3,7,8,4,6,5,2] => [1,3,7,8,2,4,6,5]
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [1,3,8,5,6,7,4,2] => [1,3,8,2,4,5,6,7]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [1,4,5,6,7,8,2,3] => [1,4,5,6,7,8,2,3]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [1,4,8,6,7,5,2,3] => [1,4,8,2,3,5,6,7]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [1,4,7,8,6,5,3,2] => [1,4,7,8,2,3,5,6]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [1,4,8,7,6,5,3,2] => [1,4,8,2,3,5,6,7]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [1,5,6,7,8,2,3,4] => [1,5,6,7,8,2,3,4]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [1,5,6,7,8,2,4,3] => [1,5,6,7,8,2,4,3]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [1,5,6,7,8,3,4,2] => [1,5,6,7,8,2,3,4]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [1,5,6,7,8,4,2,3] => [1,5,6,7,8,2,3,4]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [1,5,6,7,8,4,3,2] => [1,5,6,7,8,2,3,4]
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [1,5,8,7,6,4,3,2] => [1,5,8,2,3,4,6,7]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [1,6,7,8,2,3,4,5] => [1,6,7,8,2,3,4,5]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [1,6,8,7,2,3,4,5] => [1,6,8,2,3,4,5,7]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [1,6,7,8,3,4,5,2] => [1,6,7,8,2,3,4,5]
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [1,6,8,7,3,4,5,2] => [1,6,8,2,3,4,5,7]
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [1,6,7,8,3,5,4,2] => [1,6,7,8,2,3,5,4]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [1,6,8,7,3,5,4,2] => [1,6,8,2,3,5,4,7]
[.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [1,6,7,8,4,5,3,2] => [1,6,7,8,2,3,4,5]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [1,6,8,7,5,2,4,3] => [1,6,8,2,4,3,5,7]
[.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [1,6,7,8,5,3,4,2] => [1,6,7,8,2,3,4,5]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [1,6,7,8,5,4,3,2] => [1,6,7,8,2,3,4,5]
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [1,6,8,7,5,4,3,2] => [1,6,8,2,3,4,5,7]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [1,7,8,2,3,4,5,6] => [1,7,8,2,3,4,5,6]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [1,7,8,2,5,6,3,4] => [1,7,8,2,5,6,3,4]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [1,7,8,6,2,3,4,5] => [1,7,8,2,3,4,5,6]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [2,5,4,3,6,8,7,1] => [1,7,8,6,3,4,5,2] => [1,7,8,2,3,4,5,6]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [1,7,8,6,5,3,4,2] => [1,7,8,2,3,4,5,6]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [1,7,8,6,5,4,3,2] => [1,7,8,2,3,4,5,6]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,5,7,6]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [1,8,2,3,4,7,5,6] => [1,8,2,3,4,7,5,6]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [1,8,2,3,7,6,5,4] => [1,8,2,3,7,4,5,6]
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [4,3,6,7,5,2,8,1] => [1,8,2,5,7,6,3,4] => [1,8,2,5,7,3,4,6]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [1,8,2,7,3,4,5,6] => [1,8,2,7,3,4,5,6]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [1,8,2,7,3,6,4,5] => [1,8,2,7,3,6,4,5]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [1,8,2,7,5,6,3,4] => [1,8,2,7,3,4,5,6]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [1,8,3,6,7,4,5,2] => [1,8,2,3,6,7,4,5]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [1,8,4,7,5,6,2,3] => [1,8,2,3,4,7,5,6]
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [1,8,4,7,6,5,3,2] => [1,8,2,3,4,7,5,6]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [1,8,5,6,7,2,3,4] => [1,8,2,3,4,5,6,7]
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [3,4,2,7,6,5,8,1] => [1,8,5,6,7,2,4,3] => [1,8,2,4,3,5,6,7]
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [1,8,5,7,6,2,4,3] => [1,8,2,4,3,5,7,6]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [1,8,5,6,7,3,4,2] => [1,8,2,3,4,5,6,7]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => [1,8,5,6,7,4,2,3] => [1,8,2,3,4,5,6,7]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [1,8,5,6,7,4,3,2] => [1,8,2,3,4,5,6,7]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [1,8,6,7,2,3,4,5] => [1,8,2,3,4,5,6,7]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [1,8,6,7,2,5,3,4] => [1,8,2,5,3,4,6,7]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [2,5,4,3,7,6,8,1] => [1,8,6,7,3,4,5,2] => [1,8,2,3,4,5,6,7]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [1,8,6,7,4,5,2,3] => [1,8,2,3,4,5,6,7]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [1,8,6,7,4,5,3,2] => [1,8,2,3,4,5,6,7]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [1,8,6,7,5,4,2,3] => [1,8,2,3,4,5,6,7]
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [1,8,6,7,5,4,3,2] => [1,8,2,3,4,5,6,7]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [1,8,7,2,6,5,3,4] => [1,8,2,6,3,4,5,7]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [1,8,7,3,4,5,6,2] => [1,8,2,3,4,5,6,7]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [1,8,7,4,5,6,3,2] => [1,8,2,3,4,5,6,7]
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [1,8,7,4,6,5,3,2] => [1,8,2,3,4,6,5,7]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [1,8,7,5,6,3,4,2] => [1,8,2,3,4,5,6,7]
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [1,8,7,5,6,4,3,2] => [1,8,2,3,4,5,6,7]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [1,8,7,6,2,3,4,5] => [1,8,2,3,4,5,6,7]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => [1,8,7,6,3,4,5,2] => [1,8,2,3,4,5,6,7]
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [1,8,7,6,5,4,2,3] => [1,8,2,3,4,5,6,7]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [1,8,7,6,5,4,3,2] => [1,8,2,3,4,5,6,7]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [2,3,4,5,6,8,7,1] => [1,2,3,4,5,6,8,7]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [2,3,4,8,5,6,7,1] => [1,2,3,4,8,5,6,7]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [2,3,4,8,5,7,6,1] => [1,2,3,4,8,5,7,6]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [2,3,4,8,6,7,5,1] => [1,2,3,4,8,5,6,7]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [2,3,4,8,7,5,6,1] => [1,2,3,4,8,5,6,7]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [2,3,4,8,7,6,5,1] => [1,2,3,4,8,5,6,7]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [2,3,5,6,7,8,4,1] => [1,2,3,5,6,7,8,4]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [2,3,5,6,8,7,4,1] => [1,2,3,5,6,8,4,7]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [2,3,8,7,4,5,6,1] => [1,2,3,8,4,5,6,7]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [2,4,6,8,7,5,3,1] => [1,2,4,6,8,3,5,7]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [2,4,8,7,6,5,3,1] => [1,2,4,8,3,5,6,7]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [2,5,6,7,8,3,4,1] => [1,2,5,6,7,8,3,4]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => [2,5,8,6,7,3,4,1] => [1,2,5,8,3,4,6,7]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [2,5,6,7,8,4,3,1] => [1,2,5,6,7,8,3,4]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [2,5,8,6,7,4,3,1] => [1,2,5,8,3,4,6,7]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [2,6,8,7,5,4,3,1] => [1,2,6,8,3,4,5,7]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [2,7,8,3,4,5,6,1] => [1,2,7,8,3,4,5,6]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [2,7,8,5,6,3,4,1] => [1,2,7,8,3,4,5,6]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [2,7,8,6,5,4,3,1] => [1,2,7,8,3,4,5,6]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [2,8,3,4,5,6,7,1] => [1,2,8,3,4,5,6,7]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [2,8,3,5,7,6,4,1] => [1,2,8,3,5,7,4,6]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [2,8,5,6,7,4,3,1] => [1,2,8,3,4,5,6,7]
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [2,8,5,7,6,4,3,1] => [1,2,8,3,4,5,7,6]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [2,8,7,6,5,3,4,1] => [1,2,8,3,4,5,6,7]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [3,4,5,6,7,8,1,2] => [1,2,3,4,5,6,7,8]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [3,4,5,8,7,6,1,2] => [1,2,3,4,5,8,6,7]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [3,4,6,8,7,5,1,2] => [1,2,3,4,6,8,5,7]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [3,4,7,8,5,6,1,2] => [1,2,3,4,7,8,5,6]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [3,4,8,5,7,6,1,2] => [1,2,3,4,8,5,7,6]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,4,8,7,6,5,1,2] => [1,2,3,4,8,5,6,7]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [3,5,6,7,8,4,1,2] => [1,2,3,5,6,7,8,4]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [3,5,6,8,7,4,1,2] => [1,2,3,5,6,8,4,7]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [3,6,7,8,5,4,1,2] => [1,2,3,6,7,8,4,5]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [3,8,4,7,5,6,1,2] => [1,2,3,8,4,7,5,6]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,8,6,7,4,5,1,2] => [1,2,3,8,4,5,6,7]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [3,8,7,6,5,4,1,2] => [1,2,3,8,4,5,6,7]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [3,4,5,8,7,6,2,1] => [1,2,3,4,5,8,6,7]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [3,4,8,5,6,7,2,1] => [1,2,3,4,8,5,6,7]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,4,8,7,6,5,2,1] => [1,2,3,4,8,5,6,7]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [3,5,6,7,8,4,2,1] => [1,2,3,5,6,7,8,4]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => [3,5,6,8,7,4,2,1] => [1,2,3,5,6,8,4,7]
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,5,8,7,6,4,2,1] => [1,2,3,5,8,4,6,7]
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,8,4,7,6,5,2,1] => [1,2,3,8,4,7,5,6]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,8,7,6,4,5,2,1] => [1,2,3,8,4,5,6,7]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [4,5,6,7,8,1,2,3] => [1,2,3,4,5,6,7,8]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [4,5,8,7,6,1,2,3] => [1,2,3,4,5,8,6,7]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [4,7,8,5,6,1,2,3] => [1,2,3,4,7,8,5,6]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [4,5,6,7,8,1,3,2] => [1,3,2,4,5,6,7,8]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [4,5,6,7,8,2,3,1] => [1,2,3,4,5,6,7,8]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [4,5,6,7,8,3,1,2] => [1,2,3,4,5,6,7,8]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [4,5,6,7,8,3,2,1] => [1,2,3,4,5,6,7,8]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [4,8,7,5,6,3,2,1] => [1,2,3,4,8,5,6,7]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [4,8,7,6,5,3,2,1] => [1,2,3,4,8,5,6,7]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [5,6,7,8,1,2,3,4] => [1,2,3,4,5,6,7,8]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [5,6,8,7,1,2,3,4] => [1,2,3,4,5,6,8,7]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [5,7,8,6,1,2,3,4] => [1,2,3,4,5,7,8,6]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [5,8,6,7,1,2,3,4] => [1,2,3,4,5,8,6,7]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [5,8,7,6,1,2,3,4] => [1,2,3,4,5,8,6,7]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [5,6,7,8,1,2,4,3] => [1,2,4,3,5,6,7,8]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [5,6,8,7,1,2,4,3] => [1,2,4,3,5,6,8,7]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [5,6,7,8,1,3,4,2] => [1,3,4,2,5,6,7,8]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [5,7,8,6,1,3,4,2] => [1,3,4,2,5,7,8,6]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [5,8,6,7,1,3,4,2] => [1,3,4,2,5,8,6,7]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [5,6,7,8,1,4,2,3] => [1,4,2,3,5,6,7,8]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [5,7,8,6,1,4,2,3] => [1,4,2,3,5,7,8,6]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [5,8,6,7,1,4,2,3] => [1,4,2,3,5,8,6,7]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [5,6,7,8,1,4,3,2] => [1,4,2,3,5,6,7,8]
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [5,8,7,6,1,4,3,2] => [1,4,2,3,5,8,6,7]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [5,6,7,8,2,3,4,1] => [1,2,3,4,5,6,7,8]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [5,6,7,8,2,4,3,1] => [1,2,4,3,5,6,7,8]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [5,8,7,6,2,4,3,1] => [1,2,4,3,5,8,6,7]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [5,6,7,8,3,4,1,2] => [1,2,3,4,5,6,7,8]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [5,6,8,7,3,4,1,2] => [1,2,3,4,5,6,8,7]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [5,7,8,6,3,4,1,2] => [1,2,3,4,5,7,8,6]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [5,8,6,7,3,4,1,2] => [1,2,3,4,5,8,6,7]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [5,8,7,6,3,4,1,2] => [1,2,3,4,5,8,6,7]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [5,6,7,8,3,4,2,1] => [1,2,3,4,5,6,7,8]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [5,7,8,6,3,4,2,1] => [1,2,3,4,5,7,8,6]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [5,8,7,6,3,4,2,1] => [1,2,3,4,5,8,6,7]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [5,6,7,8,4,1,2,3] => [1,2,3,4,5,6,7,8]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [5,6,7,8,4,1,3,2] => [1,3,2,4,5,6,7,8]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [5,8,7,6,4,1,3,2] => [1,3,2,4,5,8,6,7]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [5,6,7,8,4,2,3,1] => [1,2,3,4,5,6,7,8]
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [5,8,7,6,4,2,3,1] => [1,2,3,4,5,8,6,7]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [5,6,7,8,4,3,1,2] => [1,2,3,4,5,6,7,8]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [5,8,7,6,4,3,1,2] => [1,2,3,4,5,8,6,7]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [5,6,7,8,4,3,2,1] => [1,2,3,4,5,6,7,8]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [5,8,6,7,4,3,2,1] => [1,2,3,4,5,8,6,7]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [5,8,7,6,4,3,2,1] => [1,2,3,4,5,8,6,7]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [6,7,8,1,2,3,4,5] => [1,2,3,4,5,6,7,8]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [6,8,7,1,2,3,4,5] => [1,2,3,4,5,6,8,7]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [6,7,8,1,2,3,5,4] => [1,2,3,5,4,6,7,8]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [6,7,8,1,2,4,5,3] => [1,2,4,5,3,6,7,8]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [6,7,8,1,2,5,3,4] => [1,2,5,3,4,6,7,8]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [6,7,8,1,2,5,4,3] => [1,2,5,3,4,6,7,8]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [6,7,8,1,3,4,5,2] => [1,3,4,5,2,6,7,8]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [6,7,8,1,3,5,4,2] => [1,3,5,2,4,6,7,8]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [6,8,7,1,3,5,4,2] => [1,3,5,2,4,6,8,7]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [6,7,8,1,4,5,2,3] => [1,4,5,2,3,6,7,8]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [6,7,8,1,4,5,3,2] => [1,4,5,2,3,6,7,8]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [6,7,8,1,5,2,3,4] => [1,5,2,3,4,6,7,8]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [6,7,8,1,5,2,4,3] => [1,5,2,4,3,6,7,8]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [6,7,8,1,5,3,4,2] => [1,5,2,3,4,6,7,8]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [6,7,8,1,5,4,2,3] => [1,5,2,3,4,6,7,8]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [6,7,8,1,5,4,3,2] => [1,5,2,3,4,6,7,8]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [6,8,7,2,5,4,3,1] => [1,2,5,3,4,6,8,7]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [6,7,8,3,4,5,2,1] => [1,2,3,4,5,6,7,8]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [6,7,8,5,1,2,3,4] => [1,2,3,4,5,6,7,8]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [6,8,7,5,1,2,3,4] => [1,2,3,4,5,6,8,7]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [6,7,8,5,2,3,4,1] => [1,2,3,4,5,6,7,8]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [6,7,8,5,4,1,2,3] => [1,2,3,4,5,6,7,8]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [6,8,7,5,4,1,3,2] => [1,3,2,4,5,6,8,7]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [6,7,8,5,4,3,2,1] => [1,2,3,4,5,6,7,8]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [7,8,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [7,8,1,2,3,5,6,4] => [1,2,3,5,6,4,7,8]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [7,8,1,2,3,6,5,4] => [1,2,3,6,4,5,7,8]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [7,8,1,2,4,6,5,3] => [1,2,4,6,3,5,7,8]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [7,8,1,2,5,6,3,4] => [1,2,5,6,3,4,7,8]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [7,8,1,2,6,3,5,4] => [1,2,6,3,5,4,7,8]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [7,8,1,5,6,2,3,4] => [1,5,6,2,3,4,7,8]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [7,8,1,6,2,3,4,5] => [1,6,2,3,4,5,7,8]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7] => [7,8,1,6,2,3,5,4] => [1,6,2,3,5,4,7,8]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [7,8,1,6,2,4,5,3] => [1,6,2,4,5,3,7,8]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [7,8,1,6,2,5,3,4] => [1,6,2,5,3,4,7,8]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [7,8,1,6,4,5,2,3] => [1,6,2,3,4,5,7,8]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [7,8,1,6,5,2,3,4] => [1,6,2,3,4,5,7,8]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [7,8,1,6,5,4,3,2] => [1,6,2,3,4,5,7,8]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [7,8,3,4,5,6,1,2] => [1,2,3,4,5,6,7,8]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [7,8,3,4,6,5,1,2] => [1,2,3,4,6,5,7,8]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [7,8,3,5,6,4,1,2] => [1,2,3,5,6,4,7,8]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [7,8,3,6,4,5,1,2] => [1,2,3,6,4,5,7,8]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [7,8,3,6,5,4,1,2] => [1,2,3,6,4,5,7,8]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => [7,8,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [7,8,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [7,8,5,6,1,2,4,3] => [1,2,4,3,5,6,7,8]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [7,8,5,6,1,3,4,2] => [1,3,4,2,5,6,7,8]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [7,8,5,6,1,4,2,3] => [1,4,2,3,5,6,7,8]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [7,8,5,6,1,4,3,2] => [1,4,2,3,5,6,7,8]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [7,8,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [7,8,5,6,4,3,2,1] => [1,2,3,4,5,6,7,8]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [7,8,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [7,8,6,1,5,3,4,2] => [1,5,2,3,4,6,7,8]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [7,8,6,4,5,3,1,2] => [1,2,3,4,5,6,7,8]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [7,8,6,4,5,3,2,1] => [1,2,3,4,5,6,7,8]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [7,8,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [7,8,6,5,3,4,2,1] => [1,2,3,4,5,6,7,8]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [7,8,6,5,4,2,3,1] => [1,2,3,4,5,6,7,8]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [7,8,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [8,1,2,3,4,5,7,6] => [1,2,3,4,5,7,6,8]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [8,1,2,3,4,7,5,6] => [1,2,3,4,7,5,6,8]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [8,1,2,3,4,7,6,5] => [1,2,3,4,7,5,6,8]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [8,1,2,3,5,6,7,4] => [1,2,3,5,6,7,4,8]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => [8,1,2,3,5,7,6,4] => [1,2,3,5,7,4,6,8]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [8,1,2,3,6,7,4,5] => [1,2,3,6,7,4,5,8]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [8,1,2,3,6,7,5,4] => [1,2,3,6,7,4,5,8]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [8,1,2,3,7,4,5,6] => [1,2,3,7,4,5,6,8]
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [8,1,2,3,7,5,6,4] => [1,2,3,7,4,5,6,8]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [8,1,2,3,7,6,5,4] => [1,2,3,7,4,5,6,8]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [8,1,2,5,6,7,3,4] => [1,2,5,6,7,3,4,8]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [8,1,2,5,6,7,4,3] => [1,2,5,6,7,3,4,8]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [4,5,3,7,6,2,1,8] => [8,1,2,6,7,3,5,4] => [1,2,6,7,3,5,4,8]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [4,3,5,7,6,2,1,8] => [8,1,2,6,7,5,3,4] => [1,2,6,7,3,4,5,8]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [8,1,2,7,3,4,5,6] => [1,2,7,3,4,5,6,8]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [8,1,2,7,3,4,6,5] => [1,2,7,3,4,6,5,8]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [8,1,2,7,6,3,4,5] => [1,2,7,3,4,5,6,8]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [8,1,3,4,5,6,7,2] => [1,3,4,5,6,7,2,8]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [8,1,3,7,4,6,5,2] => [1,3,7,2,4,6,5,8]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [8,1,4,5,6,7,2,3] => [1,4,5,6,7,2,3,8]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [8,1,4,5,7,6,2,3] => [1,4,5,7,2,3,6,8]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [8,1,6,7,2,3,4,5] => [1,6,7,2,3,4,5,8]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [8,1,6,7,2,3,5,4] => [1,6,7,2,3,5,4,8]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [8,1,6,7,2,4,5,3] => [1,6,7,2,4,5,3,8]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [8,1,6,7,4,5,2,3] => [1,6,7,2,3,4,5,8]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [8,1,6,7,5,4,3,2] => [1,6,7,2,3,4,5,8]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [8,1,7,2,3,4,5,6] => [1,7,2,3,4,5,6,8]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [8,1,7,2,6,3,5,4] => [1,7,2,6,3,5,4,8]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [8,1,7,2,6,4,5,3] => [1,7,2,6,3,4,5,8]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [8,1,7,3,6,4,5,2] => [1,7,2,3,6,4,5,8]
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => [8,1,7,5,6,2,3,4] => [1,7,2,3,4,5,6,8]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [8,1,7,5,6,2,4,3] => [1,7,2,4,3,5,6,8]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [8,1,7,5,6,3,4,2] => [1,7,2,3,4,5,6,8]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [8,1,7,5,6,4,3,2] => [1,7,2,3,4,5,6,8]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [8,1,7,6,2,3,4,5] => [1,7,2,3,4,5,6,8]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8] => [8,1,7,6,2,4,5,3] => [1,7,2,4,5,3,6,8]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => [8,1,7,6,3,4,5,2] => [1,7,2,3,4,5,6,8]
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [8,1,7,6,5,2,4,3] => [1,7,2,4,3,5,6,8]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [8,1,7,6,5,4,2,3] => [1,7,2,3,4,5,6,8]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [8,2,5,7,6,4,3,1] => [1,2,5,7,3,4,6,8]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [8,2,7,3,6,4,5,1] => [1,2,7,3,6,4,5,8]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [8,2,7,4,6,5,3,1] => [1,2,7,3,4,6,5,8]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [8,2,7,5,6,3,4,1] => [1,2,7,3,4,5,6,8]
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [8,2,7,6,3,5,4,1] => [1,2,7,3,5,4,6,8]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [8,3,4,5,6,7,1,2] => [1,2,3,4,5,6,7,8]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [8,3,7,4,6,5,2,1] => [1,2,3,7,4,6,5,8]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [8,4,7,5,6,1,3,2] => [1,3,2,4,7,5,6,8]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [8,4,7,6,5,1,3,2] => [1,3,2,4,7,5,6,8]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [8,4,7,5,6,2,3,1] => [1,2,3,4,7,5,6,8]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [8,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [8,5,7,6,1,2,3,4] => [1,2,3,4,5,7,6,8]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [1,2,3,4,5,6,7,8]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [8,5,7,6,2,4,3,1] => [1,2,4,3,5,7,6,8]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [8,5,6,7,4,1,2,3] => [1,2,3,4,5,6,7,8]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [8,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [8,6,7,1,4,5,3,2] => [1,4,5,2,3,6,7,8]
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [8,6,7,1,5,2,4,3] => [1,5,2,4,3,6,7,8]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [8,6,7,1,5,3,4,2] => [1,5,2,3,4,6,7,8]
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [8,6,7,2,5,3,4,1] => [1,2,5,3,4,6,7,8]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [8,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [8,6,7,4,5,1,3,2] => [1,3,2,4,5,6,7,8]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [8,6,7,4,5,2,3,1] => [1,2,3,4,5,6,7,8]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [8,6,7,4,5,3,2,1] => [1,2,3,4,5,6,7,8]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [8,6,7,5,1,2,3,4] => [1,2,3,4,5,6,7,8]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [8,6,7,5,3,4,2,1] => [1,2,3,4,5,6,7,8]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [8,6,7,5,4,2,3,1] => [1,2,3,4,5,6,7,8]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [8,6,7,5,4,3,1,2] => [1,2,3,4,5,6,7,8]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [8,7,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [8,7,1,2,3,6,5,4] => [1,2,3,6,4,5,7,8]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [8,7,1,2,6,3,4,5] => [1,2,6,3,4,5,7,8]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [8,7,1,5,6,4,3,2] => [1,5,6,2,3,4,7,8]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [8,7,1,6,2,3,4,5] => [1,6,2,3,4,5,7,8]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [8,7,1,6,2,3,5,4] => [1,6,2,3,5,4,7,8]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8] => [8,7,1,6,2,4,5,3] => [1,6,2,4,5,3,7,8]
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [8,7,1,6,2,5,4,3] => [1,6,2,5,3,4,7,8]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [8,7,1,6,4,5,3,2] => [1,6,2,3,4,5,7,8]
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [8,7,2,6,3,5,4,1] => [1,2,6,3,5,4,7,8]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [8,7,3,6,5,4,2,1] => [1,2,3,6,4,5,7,8]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [8,7,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [8,7,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [8,7,5,6,1,4,2,3] => [1,4,2,3,5,6,7,8]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [8,7,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [8,7,5,6,3,4,2,1] => [1,2,3,4,5,6,7,8]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [8,7,5,6,4,2,3,1] => [1,2,3,4,5,6,7,8]
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [8,7,5,6,4,3,1,2] => [1,2,3,4,5,6,7,8]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [8,7,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [8,7,6,1,5,3,4,2] => [1,5,2,3,4,6,7,8]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [8,7,6,1,5,4,3,2] => [1,5,2,3,4,6,7,8]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [8,7,6,4,5,1,2,3] => [1,2,3,4,5,6,7,8]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [8,7,6,4,5,2,3,1] => [1,2,3,4,5,6,7,8]
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => [8,7,6,4,5,3,1,2] => [1,2,3,4,5,6,7,8]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => [1,2,3,4,5,6,7,8]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [8,7,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8]
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [8,7,6,5,1,2,4,3] => [1,2,4,3,5,6,7,8]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [8,7,6,5,1,3,4,2] => [1,3,4,2,5,6,7,8]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [8,7,6,5,1,4,2,3] => [1,4,2,3,5,6,7,8]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [8,7,6,5,1,4,3,2] => [1,4,2,3,5,6,7,8]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [8,7,6,5,2,3,4,1] => [1,2,3,4,5,6,7,8]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [8,7,6,5,2,4,3,1] => [1,2,4,3,5,6,7,8]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [8,7,6,5,3,4,1,2] => [1,2,3,4,5,6,7,8]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [8,7,6,5,3,4,2,1] => [1,2,3,4,5,6,7,8]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,7,8]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [8,7,6,5,4,1,3,2] => [1,3,2,4,5,6,7,8]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [8,7,6,5,4,2,3,1] => [1,2,3,4,5,6,7,8]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [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] => [1,2,3,4,5,6,7,8,9]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,9,7,8]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,3,2] => [1,9,2,3,4,5,6,7,8]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [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] => [1,2,3,4,5,6,7,8,9,10]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,8,9,7]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [1,10,9,8,7,6,5,4,3,2] => [1,10,2,3,4,5,6,7,8,9]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [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] => [1,2,3,4,5,6,9,7,8]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8,9]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [1,10,2,3,4,5,6,7,8,9] => [1,10,2,3,4,5,6,7,8,9]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [10,1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9,10]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [9,10,7,8,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9,10]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [8,9,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [9,10,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [1,11,10,9,8,7,6,5,4,3,2] => [1,11,2,3,4,5,6,7,8,9,10]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [7,8,9,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [2,3,4,5,6,7,8,9,1] => [1,2,3,4,5,6,7,8,9]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [2,3,4,5,6,7,8,9,10,1] => [1,2,3,4,5,6,7,8,9,10]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [11,1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10,11]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [9,1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7,9]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [2,3,4,5,6,7,8,9,10,11,1] => [1,2,3,4,5,6,7,8,9,10,11]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [3,4,5,6,7,8,9,1,2] => [1,2,3,4,5,6,7,8,9]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [6,7,8,9,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [7,8,9,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [8,9,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [3,4,5,6,7,8,9,10,1,2] => [1,2,3,4,5,6,7,8,9,10]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [6,7,8,9,10,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [7,8,9,10,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [8,9,10,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9,10]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [9,10,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8,9,10]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [9,8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [9,8,7,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [9,8,7,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [9,8,7,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8,9]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [9,8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,7,8,9]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8,9]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [10,9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8,9,10]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [10,9,8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9,10]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [10,9,8,7,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [10,9,8,7,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [10,9,8,7,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,7,8,9,10]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8,9,10]
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [4,9,8,7,6,5,3,2,1] => [1,2,3,5,6,7,8,9,4] => [1,2,3,5,6,7,8,9,4]
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [3,9,8,7,6,5,4,2,1] => [1,2,4,5,6,7,8,9,3] => [1,2,4,5,6,7,8,9,3]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [1,3,4,5,6,7,8,9,2] => [1,3,4,5,6,7,8,9,2]
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [6,10,9,8,7,5,4,3,2,1] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,7,8,9,10,6]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [1,8,9,7,6,5,4,3,2] => [1,8,9,2,3,4,5,6,7]
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [2,3,4,5,6,8,9,7,1] => [1,7,9,8,6,5,4,3,2] => [1,7,9,2,3,4,5,6,8]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [1,9,10,8,7,6,5,4,3,2] => [1,9,10,2,3,4,5,6,7,8]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [9,8,7,6,5,3,4,1,2] => [1,2,3,4,5,6,7,8,9]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [6,5,4,3,2,1,8,7,9] => [9,7,8,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [7,6,5,4,3,2,9,8,1] => [1,8,9,2,3,4,5,6,7] => [1,8,9,2,3,4,5,6,7]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [8,7,6,5,4,3,2,10,9,1] => [1,9,10,2,3,4,5,6,7,8] => [1,9,10,2,3,4,5,6,7,8]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [6,7,8,9,10,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10]
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [9,1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7,9]
[[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]],.] => [6,5,8,7,4,3,2,1,9] => [9,1,2,3,4,7,8,5,6] => [1,2,3,4,7,8,5,6,9]
[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.] => [7,6,5,8,4,3,2,1,9] => [9,1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7,9]
[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.] => [5,4,3,2,1,8,7,6,9] => [9,6,7,8,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9]
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
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
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
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