Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00254: Permutations —Inverse fireworks map⟶ Permutations
Mp00066: Permutations —inverse⟶ Permutations
Mp00254: Permutations —Inverse fireworks map⟶ Permutations
Mp00066: Permutations —inverse⟶ Permutations
Images
[.,.] => [1] => [1] => [1]
[.,[.,.]] => [2,1] => [2,1] => [2,1]
[[.,.],.] => [1,2] => [1,2] => [1,2]
[.,[.,[.,.]]] => [3,2,1] => [3,2,1] => [3,2,1]
[.,[[.,.],.]] => [2,3,1] => [1,3,2] => [1,3,2]
[[.,.],[.,.]] => [1,3,2] => [1,3,2] => [1,3,2]
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => [2,1,3]
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [1,2,3]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [1,4,3,2] => [1,4,3,2]
[.,[[.,.],[.,.]]] => [2,4,3,1] => [1,4,3,2] => [1,4,3,2]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [2,1,4,3] => [2,1,4,3]
[.,[[[.,.],.],.]] => [2,3,4,1] => [1,2,4,3] => [1,2,4,3]
[[.,.],[.,[.,.]]] => [1,4,3,2] => [1,4,3,2] => [1,4,3,2]
[[.,.],[[.,.],.]] => [1,3,4,2] => [1,2,4,3] => [1,2,4,3]
[[.,[.,.]],[.,.]] => [2,1,4,3] => [2,1,4,3] => [2,1,4,3]
[[[.,.],.],[.,.]] => [1,2,4,3] => [1,2,4,3] => [1,2,4,3]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4]
[[.,[[.,.],.]],.] => [2,3,1,4] => [1,3,2,4] => [1,3,2,4]
[[[.,.],[.,.]],.] => [1,3,2,4] => [1,3,2,4] => [1,3,2,4]
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4]
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,4,3,2,1] => [5,4,3,2,1]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [1,5,4,3,2] => [1,5,4,3,2]
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [1,5,4,3,2] => [1,5,4,3,2]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [2,1,5,4,3] => [2,1,5,4,3]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [1,2,5,4,3] => [1,2,5,4,3]
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [1,5,4,3,2] => [1,5,4,3,2]
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [1,2,5,4,3] => [1,2,5,4,3]
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [2,1,5,4,3] => [2,1,5,4,3]
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [1,2,5,4,3] => [1,2,5,4,3]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [3,2,1,5,4] => [3,2,1,5,4]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [1,3,2,5,4] => [1,3,2,5,4]
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [1,3,2,5,4] => [1,3,2,5,4]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [2,1,3,5,4] => [2,1,3,5,4]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [1,2,3,5,4] => [1,2,3,5,4]
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2]
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [1,2,5,4,3] => [1,2,5,4,3]
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [1,2,5,4,3] => [1,2,5,4,3]
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [1,3,2,5,4] => [1,3,2,5,4]
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [1,2,3,5,4] => [1,2,3,5,4]
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [2,1,5,4,3] => [2,1,5,4,3]
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [2,1,3,5,4] => [2,1,3,5,4]
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3]
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [1,2,3,5,4] => [1,2,3,5,4]
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [3,2,1,5,4] => [3,2,1,5,4]
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [1,3,2,5,4] => [1,3,2,5,4]
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4]
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [2,1,3,5,4] => [2,1,3,5,4]
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,3,2,1,5] => [4,3,2,1,5]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [1,4,3,2,5] => [1,4,3,2,5]
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [1,4,3,2,5] => [1,4,3,2,5]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [2,1,4,3,5] => [2,1,4,3,5]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [1,2,4,3,5] => [1,2,4,3,5]
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [1,4,3,2,5] => [1,4,3,2,5]
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [1,2,4,3,5] => [1,2,4,3,5]
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [2,1,4,3,5] => [2,1,4,3,5]
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [1,3,2,4,5] => [1,3,2,4,5]
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5]
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5]
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5]
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => [6,5,4,3,2,1]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [1,6,5,4,3,2] => [1,6,5,4,3,2]
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [1,6,5,4,3,2] => [1,6,5,4,3,2]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [2,1,6,5,4,3] => [2,1,6,5,4,3]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [1,2,6,5,4,3] => [1,2,6,5,4,3]
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [1,6,5,4,3,2] => [1,6,5,4,3,2]
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [1,2,6,5,4,3] => [1,2,6,5,4,3]
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [2,1,6,5,4,3] => [2,1,6,5,4,3]
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [1,2,6,5,4,3] => [1,2,6,5,4,3]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [3,2,1,6,5,4] => [3,2,1,6,5,4]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [1,3,2,6,5,4] => [1,3,2,6,5,4]
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [1,3,2,6,5,4] => [1,3,2,6,5,4]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [2,1,3,6,5,4] => [2,1,3,6,5,4]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [1,2,3,6,5,4] => [1,2,3,6,5,4]
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [1,6,5,4,3,2] => [1,6,5,4,3,2]
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [1,2,6,5,4,3] => [1,2,6,5,4,3]
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [1,2,6,5,4,3] => [1,2,6,5,4,3]
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [1,3,2,6,5,4] => [1,3,2,6,5,4]
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [1,2,3,6,5,4] => [1,2,3,6,5,4]
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [2,1,6,5,4,3] => [2,1,6,5,4,3]
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [2,1,3,6,5,4] => [2,1,3,6,5,4]
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [1,2,6,5,4,3] => [1,2,6,5,4,3]
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [1,2,3,6,5,4] => [1,2,3,6,5,4]
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [3,2,1,6,5,4] => [3,2,1,6,5,4]
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [1,3,2,6,5,4] => [1,3,2,6,5,4]
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [1,3,2,6,5,4] => [1,3,2,6,5,4]
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [2,1,3,6,5,4] => [2,1,3,6,5,4]
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [1,2,3,6,5,4] => [1,2,3,6,5,4]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [4,3,2,1,6,5] => [4,3,2,1,6,5]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [1,4,3,2,6,5] => [1,4,3,2,6,5]
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [1,4,3,2,6,5] => [1,4,3,2,6,5]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [2,1,4,3,6,5] => [2,1,4,3,6,5]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [1,2,4,3,6,5] => [1,2,4,3,6,5]
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [1,4,3,2,6,5] => [1,4,3,2,6,5]
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [1,2,4,3,6,5] => [1,2,4,3,6,5]
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [2,1,4,3,6,5] => [2,1,4,3,6,5]
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [1,2,4,3,6,5] => [1,2,4,3,6,5]
>>> Load all 727 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [3,2,1,4,6,5] => [3,2,1,4,6,5]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [1,3,2,4,6,5] => [1,3,2,4,6,5]
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [1,3,2,4,6,5] => [1,3,2,4,6,5]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [2,1,3,4,6,5] => [2,1,3,4,6,5]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5]
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => [1,6,5,4,3,2]
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [1,2,6,5,4,3] => [1,2,6,5,4,3]
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [1,2,6,5,4,3] => [1,2,6,5,4,3]
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [1,3,2,6,5,4] => [1,3,2,6,5,4]
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [1,2,3,6,5,4] => [1,2,3,6,5,4]
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [1,2,6,5,4,3] => [1,2,6,5,4,3]
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [1,2,3,6,5,4] => [1,2,3,6,5,4]
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [1,3,2,6,5,4] => [1,3,2,6,5,4]
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [1,2,3,6,5,4] => [1,2,3,6,5,4]
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [1,4,3,2,6,5] => [1,4,3,2,6,5]
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [1,2,4,3,6,5] => [1,2,4,3,6,5]
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [1,2,4,3,6,5] => [1,2,4,3,6,5]
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [1,3,2,4,6,5] => [1,3,2,4,6,5]
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [1,2,3,4,6,5] => [1,2,3,4,6,5]
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => [2,1,6,5,4,3]
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [2,1,3,6,5,4] => [2,1,3,6,5,4]
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [2,1,3,6,5,4] => [2,1,3,6,5,4]
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [2,1,4,3,6,5] => [2,1,4,3,6,5]
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [2,1,3,4,6,5] => [2,1,3,4,6,5]
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => [1,2,6,5,4,3]
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [1,2,3,6,5,4] => [1,2,3,6,5,4]
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [1,2,3,6,5,4] => [1,2,3,6,5,4]
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [1,2,4,3,6,5] => [1,2,4,3,6,5]
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [1,2,3,4,6,5] => [1,2,3,4,6,5]
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => [3,2,1,6,5,4]
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [3,2,1,4,6,5] => [3,2,1,4,6,5]
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [1,3,2,6,5,4] => [1,3,2,6,5,4]
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [1,3,2,4,6,5] => [1,3,2,4,6,5]
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => [1,3,2,6,5,4]
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [1,3,2,4,6,5] => [1,3,2,4,6,5]
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => [2,1,3,6,5,4]
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [2,1,3,4,6,5] => [2,1,3,4,6,5]
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => [1,2,3,6,5,4]
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [1,2,3,4,6,5] => [1,2,3,4,6,5]
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => [4,3,2,1,6,5]
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [1,4,3,2,6,5] => [1,4,3,2,6,5]
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [1,4,3,2,6,5] => [1,4,3,2,6,5]
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [2,1,4,3,6,5] => [2,1,4,3,6,5]
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [1,2,4,3,6,5] => [1,2,4,3,6,5]
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => [1,4,3,2,6,5]
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [1,2,4,3,6,5] => [1,2,4,3,6,5]
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => [2,1,4,3,6,5]
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [1,2,4,3,6,5]
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [3,2,1,4,6,5] => [3,2,1,4,6,5]
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [1,3,2,4,6,5] => [1,3,2,4,6,5]
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [1,3,2,4,6,5]
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => [2,1,3,4,6,5]
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => [5,4,3,2,1,6]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [1,5,4,3,2,6] => [1,5,4,3,2,6]
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [1,5,4,3,2,6] => [1,5,4,3,2,6]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [2,1,5,4,3,6] => [2,1,5,4,3,6]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [1,2,5,4,3,6] => [1,2,5,4,3,6]
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [1,5,4,3,2,6] => [1,5,4,3,2,6]
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [1,2,5,4,3,6] => [1,2,5,4,3,6]
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [2,1,5,4,3,6] => [2,1,5,4,3,6]
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [1,2,5,4,3,6] => [1,2,5,4,3,6]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [3,2,1,5,4,6] => [3,2,1,5,4,6]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6]
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [2,1,3,5,4,6] => [2,1,3,5,4,6]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6]
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => [1,5,4,3,2,6]
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [1,2,5,4,3,6] => [1,2,5,4,3,6]
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [1,2,5,4,3,6] => [1,2,5,4,3,6]
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6]
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6]
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => [2,1,5,4,3,6]
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [2,1,3,5,4,6] => [2,1,3,5,4,6]
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => [1,2,5,4,3,6]
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6]
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [3,2,1,5,4,6] => [3,2,1,5,4,6]
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6]
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6]
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => [2,1,3,5,4,6]
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => [4,3,2,1,5,6]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [1,4,3,2,5,6] => [1,4,3,2,5,6]
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [1,4,3,2,5,6] => [1,4,3,2,5,6]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [2,1,4,3,5,6] => [2,1,4,3,5,6]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6]
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [1,4,3,2,5,6] => [1,4,3,2,5,6]
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6]
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => [2,1,4,3,5,6]
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [3,2,1,4,5,6]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6]
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6]
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6]
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [3,2,1,7,6,5,4] => [3,2,1,7,6,5,4]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [3,2,1,7,6,5,4] => [3,2,1,7,6,5,4]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [4,3,2,1,7,6,5] => [4,3,2,1,7,6,5]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [3,2,1,7,6,5,4] => [3,2,1,7,6,5,4]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [4,3,2,1,7,6,5] => [4,3,2,1,7,6,5]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5]
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [5,4,3,2,1,7,6] => [5,4,3,2,1,7,6]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [3,2,1,5,4,7,6] => [3,2,1,5,4,7,6]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6]
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [3,2,1,5,4,7,6] => [3,2,1,5,4,7,6]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6]
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [4,3,2,1,5,7,6] => [4,3,2,1,5,7,6]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6]
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6]
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6]
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [3,2,1,4,5,7,6] => [3,2,1,4,5,7,6]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6]
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6]
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6]
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6]
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6]
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6]
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [3,2,1,7,6,5,4] => [3,2,1,7,6,5,4]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,2,1,5,4,7,6] => [3,2,1,5,4,7,6]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,4,5,7,6] => [3,2,1,4,5,7,6]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6]
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4]
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3,2,1,7,6,5] => [4,3,2,1,7,6,5]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,3,2,1,5,7,6] => [4,3,2,1,5,7,6]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5]
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,4,5,7,6] => [3,2,1,4,5,7,6]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5]
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5]
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6]
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5]
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [5,4,3,2,1,7,6] => [5,4,3,2,1,7,6]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [3,2,1,5,4,7,6] => [3,2,1,5,4,7,6]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6]
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6]
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,1,5,4,7,6] => [3,2,1,5,4,7,6]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6]
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [4,3,2,1,5,7,6] => [4,3,2,1,5,7,6]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6]
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6]
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6]
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [3,2,1,4,5,7,6] => [3,2,1,4,5,7,6]
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6]
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6]
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6]
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2,7]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2,7]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3,7]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2,7]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3,7]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [3,2,1,6,5,4,7] => [3,2,1,6,5,4,7]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2,7]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7]
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3,7]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7]
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [3,2,1,6,5,4,7] => [3,2,1,6,5,4,7]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7]
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [4,3,2,1,6,5,7] => [4,3,2,1,6,5,7]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7]
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7]
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7]
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [3,2,1,4,6,5,7] => [3,2,1,4,6,5,7]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7]
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7]
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7]
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2,7]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7]
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7]
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7]
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7]
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7]
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7]
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7]
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3,7]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7]
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7]
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7]
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7]
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7]
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,2,1,6,5,4,7] => [3,2,1,6,5,4,7]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,4,6,5,7] => [3,2,1,4,6,5,7]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7]
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7]
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7]
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7]
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7]
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [4,3,2,1,6,5,7] => [4,3,2,1,6,5,7]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7]
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7]
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7]
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [3,2,1,4,6,5,7] => [3,2,1,4,6,5,7]
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7]
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7]
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7]
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6,7]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6,7]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [2,1,5,4,3,6,7] => [2,1,5,4,3,6,7]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6,7]
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [2,1,5,4,3,6,7] => [2,1,5,4,3,6,7]
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [3,2,1,5,4,6,7] => [3,2,1,5,4,6,7]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7]
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7]
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7]
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6,7]
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7]
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7]
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7]
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [2,1,5,4,3,6,7] => [2,1,5,4,3,6,7]
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7]
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7]
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [3,2,1,5,4,6,7] => [3,2,1,5,4,6,7]
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7]
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7]
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7]
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7]
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7]
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7]
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7]
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7]
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7]
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7]
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7]
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7]
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7]
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7]
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7]
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7]
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [1,2,3,8,7,6,5,4] => [1,2,3,8,7,6,5,4]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [1,2,8,7,6,5,4,3] => [1,2,8,7,6,5,4,3]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [1,2,3,4,8,7,6,5] => [1,2,3,4,8,7,6,5]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [1,2,8,7,6,5,4,3] => [1,2,8,7,6,5,4,3]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [1,2,3,4,8,7,6,5] => [1,2,3,4,8,7,6,5]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [1,2,3,4,8,7,6,5] => [1,2,3,4,8,7,6,5]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,8,7,6]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [1,3,2,4,5,8,7,6] => [1,3,2,4,5,8,7,6]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [1,8,7,6,5,4,3,2] => [1,8,7,6,5,4,3,2]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [1,2,8,7,6,5,4,3] => [1,2,8,7,6,5,4,3]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [1,2,3,4,8,7,6,5] => [1,2,3,4,8,7,6,5]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [1,2,3,4,8,7,6,5] => [1,2,3,4,8,7,6,5]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,8,7,6]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [1,3,2,8,7,6,5,4] => [1,3,2,8,7,6,5,4]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [1,5,4,3,2,8,7,6] => [1,5,4,3,2,8,7,6]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [1,3,2,5,4,8,7,6] => [1,3,2,5,4,8,7,6]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [2,1,8,7,6,5,4,3] => [2,1,8,7,6,5,4,3]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [2,1,3,4,8,7,6,5] => [2,1,3,4,8,7,6,5]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [2,1,3,5,4,8,7,6] => [2,1,3,5,4,8,7,6]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [2,1,3,4,5,8,7,6] => [2,1,3,4,5,8,7,6]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [1,2,3,4,8,7,6,5] => [1,2,3,4,8,7,6,5]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,8,7,6]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [3,2,1,8,7,6,5,4] => [3,2,1,8,7,6,5,4]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,2,1,5,4,8,7,6] => [3,2,1,5,4,8,7,6]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,3,2,1,8,7,6,5] => [4,3,2,1,8,7,6,5]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,2,1,5,8,7,6] => [4,3,2,1,5,8,7,6]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,2,1,5,8,7,6] => [4,3,2,1,5,8,7,6]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,2,1,6,5,8,7] => [4,3,2,1,6,5,8,7]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,3,2,1,5,6,8,7] => [4,3,2,1,5,6,8,7]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [1,4,3,2,8,7,6,5] => [1,4,3,2,8,7,6,5]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [1,4,3,2,5,8,7,6] => [1,4,3,2,5,8,7,6]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [1,4,3,2,8,7,6,5] => [1,4,3,2,8,7,6,5]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [1,4,3,2,5,8,7,6] => [1,4,3,2,5,8,7,6]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [1,4,3,2,6,5,8,7] => [1,4,3,2,6,5,8,7]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [2,1,4,3,8,7,6,5] => [2,1,4,3,8,7,6,5]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [2,1,4,3,5,8,7,6] => [2,1,4,3,5,8,7,6]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [1,2,4,3,8,7,6,5] => [1,2,4,3,8,7,6,5]
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [1,4,3,2,8,7,6,5] => [1,4,3,2,8,7,6,5]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [1,2,4,3,8,7,6,5] => [1,2,4,3,8,7,6,5]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [2,1,4,3,8,7,6,5] => [2,1,4,3,8,7,6,5]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [2,1,4,3,5,8,7,6] => [2,1,4,3,5,8,7,6]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [2,1,4,3,5,8,7,6] => [2,1,4,3,5,8,7,6]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,1,4,3,5,6,8,7] => [2,1,4,3,5,6,8,7]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [1,2,4,3,8,7,6,5] => [1,2,4,3,8,7,6,5]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [3,2,1,4,8,7,6,5] => [3,2,1,4,8,7,6,5]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [1,3,2,4,8,7,6,5] => [1,3,2,4,8,7,6,5]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [1,3,2,4,8,7,6,5] => [1,3,2,4,8,7,6,5]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [2,1,3,4,8,7,6,5] => [2,1,3,4,8,7,6,5]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [1,2,3,4,8,7,6,5] => [1,2,3,4,8,7,6,5]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,4,3,2,1,8,7,6] => [5,4,3,2,1,8,7,6]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [2,1,5,4,3,8,7,6] => [2,1,5,4,3,8,7,6]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [4,3,2,1,5,8,7,6] => [4,3,2,1,5,8,7,6]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,3,2,1,5,6,8,7] => [4,3,2,1,5,6,8,7]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,2,1,4,5,8,7,6] => [3,2,1,4,5,8,7,6]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => [6,5,4,3,2,1,8,7]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [1,2,6,5,4,3,8,7] => [1,2,6,5,4,3,8,7]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [1,3,2,6,5,4,8,7] => [1,3,2,6,5,4,8,7]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [2,1,6,5,4,3,8,7] => [2,1,6,5,4,3,8,7]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [2,1,3,6,5,4,8,7] => [2,1,3,6,5,4,8,7]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [2,1,3,6,5,4,8,7] => [2,1,3,6,5,4,8,7]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,1,3,4,6,5,8,7] => [2,1,3,4,6,5,8,7]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => [4,3,2,1,6,5,8,7]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [1,4,3,2,6,5,8,7] => [1,4,3,2,6,5,8,7]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [1,4,3,2,6,5,8,7] => [1,4,3,2,6,5,8,7]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [4,3,2,1,5,6,8,7] => [4,3,2,1,5,6,8,7]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [2,1,7,6,5,4,3,8] => [2,1,7,6,5,4,3,8]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [4,3,2,1,7,6,5,8] => [4,3,2,1,7,6,5,8]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [2,1,4,3,7,6,5,8] => [2,1,4,3,7,6,5,8]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [4,3,2,1,7,6,5,8] => [4,3,2,1,7,6,5,8]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [4,3,2,1,5,7,6,8] => [4,3,2,1,5,7,6,8]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [1,4,3,2,7,6,5,8] => [1,4,3,2,7,6,5,8]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [4,3,2,1,5,7,6,8] => [4,3,2,1,5,7,6,8]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [4,3,2,1,6,5,7,8] => [4,3,2,1,6,5,7,8]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8]
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
Inverse fireworks map
Description
Sends a permutation to an inverse fireworks permutation.
A permutation $\sigma$ is inverse fireworks if its inverse avoids the vincular pattern $3-12$. The inverse fireworks map sends any permutation $\sigma$ to an inverse fireworks permutation that is below $\sigma$ in left weak order and has the same Rajchgot index St001759The Rajchgot index of a permutation..
A permutation $\sigma$ is inverse fireworks if its inverse avoids the vincular pattern $3-12$. The inverse fireworks map sends any permutation $\sigma$ to an inverse fireworks permutation that is below $\sigma$ in left weak order and has the same Rajchgot index St001759The Rajchgot index of a permutation..
Map
inverse
Description
Sends a permutation to its inverse.
searching the database
Sorry, this map was not found in the database.