Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00066: Permutations —inverse⟶ Permutations
Mp00254: Permutations —Inverse fireworks map⟶ Permutations
Mp00066: Permutations —inverse⟶ Permutations
Mp00254: Permutations —Inverse fireworks map⟶ 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] => [3,1,2] => [3,1,2]
[[.,.],[.,.]] => [3,1,2] => [2,3,1] => [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] => [4,3,1,2] => [4,3,1,2]
[.,[[.,.],[.,.]]] => [4,2,3,1] => [4,2,3,1] => [4,1,3,2]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,2,1,3] => [4,2,1,3]
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,1,2,3] => [4,1,2,3]
[[.,.],[.,[.,.]]] => [4,3,1,2] => [3,4,2,1] => [1,4,3,2]
[[.,.],[[.,.],.]] => [3,4,1,2] => [3,4,1,2] => [2,4,1,3]
[[.,[.,.]],[.,.]] => [4,2,1,3] => [3,2,4,1] => [2,1,4,3]
[[[.,.],.],[.,.]] => [4,1,2,3] => [2,3,4,1] => [1,2,4,3]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4]
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,1,2,4] => [3,1,2,4]
[[[.,.],[.,.]],.] => [3,1,2,4] => [2,3,1,4] => [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] => [5,4,3,1,2] => [5,4,3,1,2]
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [5,4,2,3,1] => [5,4,1,3,2]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [5,4,2,1,3] => [5,4,2,1,3]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [5,4,1,2,3] => [5,4,1,2,3]
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [5,3,4,2,1] => [5,1,4,3,2]
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [5,3,4,1,2] => [5,2,4,1,3]
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [5,3,2,4,1] => [5,2,1,4,3]
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [5,2,3,4,1] => [5,1,2,4,3]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [5,3,2,1,4] => [5,3,2,1,4]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [5,3,1,2,4] => [5,3,1,2,4]
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [5,2,3,1,4] => [5,1,3,2,4]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [5,2,1,3,4] => [5,2,1,3,4]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [5,1,2,3,4] => [5,1,2,3,4]
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [4,5,3,2,1] => [1,5,4,3,2]
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [4,5,3,1,2] => [2,5,4,1,3]
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [4,5,2,3,1] => [2,5,1,4,3]
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [4,5,2,1,3] => [3,5,2,1,4]
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [4,5,1,2,3] => [3,5,1,2,4]
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [4,3,5,2,1] => [2,1,5,4,3]
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [4,3,5,1,2] => [3,2,5,1,4]
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [3,4,5,2,1] => [1,2,5,4,3]
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [3,4,5,1,2] => [1,3,5,2,4]
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [4,3,2,5,1] => [3,2,1,5,4]
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [4,2,3,5,1] => [3,1,2,5,4]
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [3,4,2,5,1] => [1,3,2,5,4]
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [3,2,4,5,1] => [2,1,3,5,4]
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [2,3,4,5,1] => [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] => [4,3,1,2,5] => [4,3,1,2,5]
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [4,2,3,1,5] => [4,1,3,2,5]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [4,2,1,3,5] => [4,2,1,3,5]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,1,2,3,5] => [4,1,2,3,5]
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [3,4,2,1,5] => [1,4,3,2,5]
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [3,4,1,2,5] => [2,4,1,3,5]
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [3,2,4,1,5] => [2,1,4,3,5]
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [2,3,4,1,5] => [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] => [3,1,2,4,5] => [3,1,2,4,5]
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [2,3,1,4,5] => [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] => [6,5,4,3,1,2] => [6,5,4,3,1,2]
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [6,5,4,2,3,1] => [6,5,4,1,3,2]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [6,5,4,2,1,3] => [6,5,4,2,1,3]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => [6,5,4,1,2,3]
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [6,5,3,4,2,1] => [6,5,1,4,3,2]
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [6,5,3,4,1,2] => [6,5,2,4,1,3]
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [6,5,3,2,4,1] => [6,5,2,1,4,3]
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [6,5,2,3,4,1] => [6,5,1,2,4,3]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [6,5,3,2,1,4] => [6,5,3,2,1,4]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [6,5,3,1,2,4] => [6,5,3,1,2,4]
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [6,5,2,3,1,4] => [6,5,1,3,2,4]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [6,5,2,1,3,4] => [6,5,2,1,3,4]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => [6,5,1,2,3,4]
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [6,4,5,3,2,1] => [6,1,5,4,3,2]
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [6,4,5,3,1,2] => [6,2,5,4,1,3]
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [6,4,5,2,3,1] => [6,2,5,1,4,3]
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [6,4,5,2,1,3] => [6,3,5,2,1,4]
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [6,4,5,1,2,3] => [6,3,5,1,2,4]
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [6,4,3,5,2,1] => [6,2,1,5,4,3]
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [6,4,3,5,1,2] => [6,3,2,5,1,4]
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [6,3,4,5,2,1] => [6,1,2,5,4,3]
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [6,3,4,5,1,2] => [6,1,3,5,2,4]
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [6,4,3,2,5,1] => [6,3,2,1,5,4]
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [6,4,2,3,5,1] => [6,3,1,2,5,4]
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [6,3,4,2,5,1] => [6,1,3,2,5,4]
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [6,3,2,4,5,1] => [6,2,1,3,5,4]
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [6,2,3,4,5,1] => [6,1,2,3,5,4]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [6,4,3,2,1,5] => [6,4,3,2,1,5]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [6,4,3,1,2,5] => [6,4,3,1,2,5]
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [6,4,2,3,1,5] => [6,4,1,3,2,5]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [6,4,2,1,3,5] => [6,4,2,1,3,5]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => [6,4,1,2,3,5]
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [6,3,4,2,1,5] => [6,1,4,3,2,5]
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [6,3,4,1,2,5] => [6,2,4,1,3,5]
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [6,3,2,4,1,5] => [6,2,1,4,3,5]
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [6,2,3,4,1,5] => [6,1,2,4,3,5]
>>> Load all 724 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [6,3,2,1,4,5] => [6,3,2,1,4,5]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [6,3,1,2,4,5] => [6,3,1,2,4,5]
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [6,2,3,1,4,5] => [6,1,3,2,4,5]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [6,2,1,3,4,5] => [6,2,1,3,4,5]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [6,1,2,3,4,5] => [6,1,2,3,4,5]
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [5,6,4,3,2,1] => [1,6,5,4,3,2]
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [5,6,4,3,1,2] => [2,6,5,4,1,3]
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [5,6,4,2,3,1] => [2,6,5,1,4,3]
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [5,6,4,2,1,3] => [3,6,5,2,1,4]
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [5,6,4,1,2,3] => [3,6,5,1,2,4]
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,6,3,4,2,1] => [2,6,1,5,4,3]
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,6,3,4,1,2] => [3,6,2,5,1,4]
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,6,3,2,4,1] => [3,6,2,1,5,4]
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [5,6,2,3,4,1] => [3,6,1,2,5,4]
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [5,6,3,2,1,4] => [4,6,3,2,1,5]
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [5,6,3,1,2,4] => [4,6,3,1,2,5]
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [5,6,2,3,1,4] => [4,6,1,3,2,5]
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [5,6,2,1,3,4] => [4,6,2,1,3,5]
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [5,6,1,2,3,4] => [4,6,1,2,3,5]
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [5,4,6,3,2,1] => [2,1,6,5,4,3]
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,4,6,3,1,2] => [3,2,6,5,1,4]
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,6,2,3,1] => [3,2,6,1,5,4]
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,4,6,2,1,3] => [4,3,6,2,1,5]
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [5,4,6,1,2,3] => [4,3,6,1,2,5]
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => [1,2,6,5,4,3]
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [4,5,6,3,1,2] => [1,3,6,5,2,4]
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,6,2,3,1] => [1,3,6,2,5,4]
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [4,5,6,2,1,3] => [1,4,6,3,2,5]
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [4,5,6,1,2,3] => [2,4,6,1,3,5]
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [5,4,3,6,2,1] => [3,2,1,6,5,4]
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,4,3,6,1,2] => [4,3,2,6,1,5]
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [5,3,4,6,2,1] => [3,1,2,6,5,4]
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [5,3,4,6,1,2] => [4,1,3,6,2,5]
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => [1,3,2,6,5,4]
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,6,1,2] => [1,4,3,6,2,5]
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,3,5,6,2,1] => [2,1,3,6,5,4]
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,3,5,6,1,2] => [2,1,4,6,3,5]
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => [1,2,3,6,5,4]
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [3,4,5,6,1,2] => [1,2,4,6,3,5]
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [5,4,3,2,6,1] => [4,3,2,1,6,5]
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [5,4,2,3,6,1] => [4,3,1,2,6,5]
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [5,3,4,2,6,1] => [4,1,3,2,6,5]
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [5,3,2,4,6,1] => [4,2,1,3,6,5]
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [5,2,3,4,6,1] => [4,1,2,3,6,5]
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => [1,4,3,2,6,5]
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,5,2,3,6,1] => [2,4,1,3,6,5]
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => [2,1,4,3,6,5]
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => [1,2,4,3,6,5]
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [4,3,2,5,6,1] => [3,2,1,4,6,5]
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [4,2,3,5,6,1] => [3,1,2,4,6,5]
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => [1,3,2,4,6,5]
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => [2,1,3,4,6,5]
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [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] => [5,4,3,1,2,6] => [5,4,3,1,2,6]
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [5,4,2,3,1,6] => [5,4,1,3,2,6]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [5,4,2,1,3,6] => [5,4,2,1,3,6]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [5,4,1,2,3,6] => [5,4,1,2,3,6]
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [5,3,4,2,1,6] => [5,1,4,3,2,6]
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [5,3,4,1,2,6] => [5,2,4,1,3,6]
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [5,3,2,4,1,6] => [5,2,1,4,3,6]
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [5,2,3,4,1,6] => [5,1,2,4,3,6]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [5,3,2,1,4,6] => [5,3,2,1,4,6]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [5,3,1,2,4,6] => [5,3,1,2,4,6]
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [5,2,3,1,4,6] => [5,1,3,2,4,6]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [5,2,1,3,4,6] => [5,2,1,3,4,6]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,1,2,3,4,6] => [5,1,2,3,4,6]
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [4,5,3,2,1,6] => [1,5,4,3,2,6]
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [4,5,3,1,2,6] => [2,5,4,1,3,6]
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [4,5,2,3,1,6] => [2,5,1,4,3,6]
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [4,5,2,1,3,6] => [3,5,2,1,4,6]
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [4,5,1,2,3,6] => [3,5,1,2,4,6]
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [4,3,5,2,1,6] => [2,1,5,4,3,6]
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [4,3,5,1,2,6] => [3,2,5,1,4,6]
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => [1,2,5,4,3,6]
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [3,4,5,1,2,6] => [1,3,5,2,4,6]
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [4,3,2,5,1,6] => [3,2,1,5,4,6]
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [4,2,3,5,1,6] => [3,1,2,5,4,6]
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => [1,3,2,5,4,6]
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [3,2,4,5,1,6] => [2,1,3,5,4,6]
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [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] => [4,3,1,2,5,6] => [4,3,1,2,5,6]
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [4,2,3,1,5,6] => [4,1,3,2,5,6]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,2,1,3,5,6] => [4,2,1,3,5,6]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [4,1,2,3,5,6] => [4,1,2,3,5,6]
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => [1,4,3,2,5,6]
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [3,4,1,2,5,6] => [2,4,1,3,5,6]
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [3,2,4,1,5,6] => [2,1,4,3,5,6]
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [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] => [3,1,2,4,5,6] => [3,1,2,4,5,6]
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [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] => [7,6,5,4,3,1,2] => [7,6,5,4,3,1,2]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [7,6,5,4,2,3,1] => [7,6,5,4,1,3,2]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [7,6,5,4,2,1,3] => [7,6,5,4,2,1,3]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => [7,6,5,4,1,2,3]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [7,6,5,3,4,2,1] => [7,6,5,1,4,3,2]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [7,6,5,3,4,1,2] => [7,6,5,2,4,1,3]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [7,6,5,3,2,4,1] => [7,6,5,2,1,4,3]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [7,6,5,2,3,4,1] => [7,6,5,1,2,4,3]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [7,6,5,3,2,1,4] => [7,6,5,3,2,1,4]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [7,6,5,3,1,2,4] => [7,6,5,3,1,2,4]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [7,6,5,2,3,1,4] => [7,6,5,1,3,2,4]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [7,6,5,2,1,3,4] => [7,6,5,2,1,3,4]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => [7,6,5,1,2,3,4]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [7,6,4,5,3,2,1] => [7,6,1,5,4,3,2]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [7,6,4,5,3,1,2] => [7,6,2,5,4,1,3]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [7,6,4,5,2,3,1] => [7,6,2,5,1,4,3]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [7,6,4,5,2,1,3] => [7,6,3,5,2,1,4]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [7,6,4,5,1,2,3] => [7,6,3,5,1,2,4]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [7,6,4,3,5,2,1] => [7,6,2,1,5,4,3]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [7,6,4,3,5,1,2] => [7,6,3,2,5,1,4]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [7,6,3,4,5,2,1] => [7,6,1,2,5,4,3]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [7,6,3,4,5,1,2] => [7,6,1,3,5,2,4]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [7,6,4,3,2,5,1] => [7,6,3,2,1,5,4]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [7,6,4,2,3,5,1] => [7,6,3,1,2,5,4]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [7,6,3,4,2,5,1] => [7,6,1,3,2,5,4]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [7,6,3,2,4,5,1] => [7,6,2,1,3,5,4]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [7,6,2,3,4,5,1] => [7,6,1,2,3,5,4]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [7,6,4,3,2,1,5] => [7,6,4,3,2,1,5]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [7,6,4,3,1,2,5] => [7,6,4,3,1,2,5]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [7,6,4,2,3,1,5] => [7,6,4,1,3,2,5]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [7,6,4,2,1,3,5] => [7,6,4,2,1,3,5]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [7,6,4,1,2,3,5] => [7,6,4,1,2,3,5]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [7,6,3,4,2,1,5] => [7,6,1,4,3,2,5]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [7,6,3,4,1,2,5] => [7,6,2,4,1,3,5]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [7,6,3,2,4,1,5] => [7,6,2,1,4,3,5]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [7,6,2,3,4,1,5] => [7,6,1,2,4,3,5]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [7,6,3,2,1,4,5] => [7,6,3,2,1,4,5]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [7,6,3,1,2,4,5] => [7,6,3,1,2,4,5]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [7,6,2,3,1,4,5] => [7,6,1,3,2,4,5]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [7,6,2,1,3,4,5] => [7,6,2,1,3,4,5]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => [7,6,1,2,3,4,5]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [7,5,6,4,3,2,1] => [7,1,6,5,4,3,2]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [7,5,6,4,3,1,2] => [7,2,6,5,4,1,3]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [7,5,6,4,2,3,1] => [7,2,6,5,1,4,3]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [7,5,6,4,2,1,3] => [7,3,6,5,2,1,4]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [7,5,6,4,1,2,3] => [7,3,6,5,1,2,4]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [7,5,6,3,4,2,1] => [7,2,6,1,5,4,3]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [7,5,6,3,4,1,2] => [7,3,6,2,5,1,4]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [7,5,6,3,2,4,1] => [7,3,6,2,1,5,4]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [7,5,6,2,3,4,1] => [7,3,6,1,2,5,4]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [7,5,6,3,2,1,4] => [7,4,6,3,2,1,5]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [7,5,6,3,1,2,4] => [7,4,6,3,1,2,5]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [7,5,6,2,3,1,4] => [7,4,6,1,3,2,5]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [7,5,6,2,1,3,4] => [7,4,6,2,1,3,5]
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [7,5,6,1,2,3,4] => [7,4,6,1,2,3,5]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [7,5,4,6,3,2,1] => [7,2,1,6,5,4,3]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [7,5,4,6,3,1,2] => [7,3,2,6,5,1,4]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [7,5,4,6,2,3,1] => [7,3,2,6,1,5,4]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [7,5,4,6,2,1,3] => [7,4,3,6,2,1,5]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [7,5,4,6,1,2,3] => [7,4,3,6,1,2,5]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [7,4,5,6,3,2,1] => [7,1,2,6,5,4,3]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [7,4,5,6,3,1,2] => [7,1,3,6,5,2,4]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [7,4,5,6,2,3,1] => [7,1,3,6,2,5,4]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [7,4,5,6,2,1,3] => [7,1,4,6,3,2,5]
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [7,4,5,6,1,2,3] => [7,2,4,6,1,3,5]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [7,5,4,3,6,2,1] => [7,3,2,1,6,5,4]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [7,5,4,3,6,1,2] => [7,4,3,2,6,1,5]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [7,5,3,4,6,2,1] => [7,3,1,2,6,5,4]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [7,5,3,4,6,1,2] => [7,4,1,3,6,2,5]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [7,4,5,3,6,2,1] => [7,1,3,2,6,5,4]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [7,4,5,3,6,1,2] => [7,1,4,3,6,2,5]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [7,4,3,5,6,2,1] => [7,2,1,3,6,5,4]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [7,4,3,5,6,1,2] => [7,2,1,4,6,3,5]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [7,3,4,5,6,2,1] => [7,1,2,3,6,5,4]
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [7,3,4,5,6,1,2] => [7,1,2,4,6,3,5]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [7,5,4,3,2,6,1] => [7,4,3,2,1,6,5]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [7,5,4,2,3,6,1] => [7,4,3,1,2,6,5]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [7,5,3,4,2,6,1] => [7,4,1,3,2,6,5]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [7,5,3,2,4,6,1] => [7,4,2,1,3,6,5]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [7,5,2,3,4,6,1] => [7,4,1,2,3,6,5]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [7,4,5,3,2,6,1] => [7,1,4,3,2,6,5]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [7,4,5,2,3,6,1] => [7,2,4,1,3,6,5]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [7,4,3,5,2,6,1] => [7,2,1,4,3,6,5]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [7,3,4,5,2,6,1] => [7,1,2,4,3,6,5]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [7,4,3,2,5,6,1] => [7,3,2,1,4,6,5]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [7,4,2,3,5,6,1] => [7,3,1,2,4,6,5]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [7,3,4,2,5,6,1] => [7,1,3,2,4,6,5]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [7,3,2,4,5,6,1] => [7,2,1,3,4,6,5]
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [7,2,3,4,5,6,1] => [7,1,2,3,4,6,5]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [7,5,4,3,2,1,6] => [7,5,4,3,2,1,6]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [7,5,4,3,1,2,6] => [7,5,4,3,1,2,6]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [7,5,4,2,3,1,6] => [7,5,4,1,3,2,6]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [7,5,4,2,1,3,6] => [7,5,4,2,1,3,6]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [7,5,4,1,2,3,6] => [7,5,4,1,2,3,6]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [7,5,3,4,2,1,6] => [7,5,1,4,3,2,6]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [7,5,3,4,1,2,6] => [7,5,2,4,1,3,6]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [7,5,3,2,4,1,6] => [7,5,2,1,4,3,6]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [7,5,2,3,4,1,6] => [7,5,1,2,4,3,6]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [7,5,3,2,1,4,6] => [7,5,3,2,1,4,6]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [7,5,3,1,2,4,6] => [7,5,3,1,2,4,6]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [7,5,2,3,1,4,6] => [7,5,1,3,2,4,6]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [7,5,2,1,3,4,6] => [7,5,2,1,3,4,6]
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => [7,5,1,2,3,4,6]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [7,4,5,3,2,1,6] => [7,1,5,4,3,2,6]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [7,4,5,3,1,2,6] => [7,2,5,4,1,3,6]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [7,4,5,2,3,1,6] => [7,2,5,1,4,3,6]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [7,4,5,2,1,3,6] => [7,3,5,2,1,4,6]
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [7,4,5,1,2,3,6] => [7,3,5,1,2,4,6]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [7,4,3,5,2,1,6] => [7,2,1,5,4,3,6]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [7,4,3,5,1,2,6] => [7,3,2,5,1,4,6]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [7,3,4,5,2,1,6] => [7,1,2,5,4,3,6]
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [7,3,4,5,1,2,6] => [7,1,3,5,2,4,6]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [7,4,3,2,5,1,6] => [7,3,2,1,5,4,6]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [7,4,2,3,5,1,6] => [7,3,1,2,5,4,6]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [7,3,4,2,5,1,6] => [7,1,3,2,5,4,6]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [7,3,2,4,5,1,6] => [7,2,1,3,5,4,6]
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [7,2,3,4,5,1,6] => [7,1,2,3,5,4,6]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [7,4,3,2,1,5,6] => [7,4,3,2,1,5,6]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [7,4,3,1,2,5,6] => [7,4,3,1,2,5,6]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [7,4,2,3,1,5,6] => [7,4,1,3,2,5,6]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [7,4,2,1,3,5,6] => [7,4,2,1,3,5,6]
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => [7,4,1,2,3,5,6]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [7,3,4,2,1,5,6] => [7,1,4,3,2,5,6]
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [7,3,4,1,2,5,6] => [7,2,4,1,3,5,6]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [7,3,2,4,1,5,6] => [7,2,1,4,3,5,6]
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [7,2,3,4,1,5,6] => [7,1,2,4,3,5,6]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [7,3,2,1,4,5,6] => [7,3,2,1,4,5,6]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [7,3,1,2,4,5,6] => [7,3,1,2,4,5,6]
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [7,2,3,1,4,5,6] => [7,1,3,2,4,5,6]
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [7,2,1,3,4,5,6] => [7,2,1,3,4,5,6]
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [6,7,5,4,3,2,1] => [1,7,6,5,4,3,2]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [6,7,5,4,3,1,2] => [2,7,6,5,4,1,3]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [6,7,5,4,2,3,1] => [2,7,6,5,1,4,3]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [6,7,5,4,2,1,3] => [3,7,6,5,2,1,4]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [6,7,5,4,1,2,3] => [3,7,6,5,1,2,4]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [6,7,5,3,4,2,1] => [2,7,6,1,5,4,3]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [6,7,5,3,4,1,2] => [3,7,6,2,5,1,4]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [6,7,5,3,2,4,1] => [3,7,6,2,1,5,4]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [6,7,5,2,3,4,1] => [3,7,6,1,2,5,4]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [6,7,5,3,2,1,4] => [4,7,6,3,2,1,5]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [6,7,5,3,1,2,4] => [4,7,6,3,1,2,5]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [6,7,5,2,3,1,4] => [4,7,6,1,3,2,5]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [6,7,5,2,1,3,4] => [4,7,6,2,1,3,5]
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [6,7,5,1,2,3,4] => [4,7,6,1,2,3,5]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [6,7,4,5,3,2,1] => [2,7,1,6,5,4,3]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [6,7,4,5,3,1,2] => [3,7,2,6,5,1,4]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [6,7,4,5,2,3,1] => [3,7,2,6,1,5,4]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [6,7,4,5,2,1,3] => [4,7,3,6,2,1,5]
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [6,7,4,5,1,2,3] => [4,7,3,6,1,2,5]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [6,7,4,3,5,2,1] => [3,7,2,1,6,5,4]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [6,7,4,3,5,1,2] => [4,7,3,2,6,1,5]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [6,7,3,4,5,2,1] => [3,7,1,2,6,5,4]
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [6,7,3,4,5,1,2] => [4,7,1,3,6,2,5]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [6,7,4,3,2,5,1] => [4,7,3,2,1,6,5]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [6,7,4,2,3,5,1] => [4,7,3,1,2,6,5]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [6,7,3,4,2,5,1] => [4,7,1,3,2,6,5]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [6,7,3,2,4,5,1] => [4,7,2,1,3,6,5]
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [6,7,2,3,4,5,1] => [4,7,1,2,3,6,5]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [6,7,4,3,2,1,5] => [5,7,4,3,2,1,6]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [6,7,4,3,1,2,5] => [5,7,4,3,1,2,6]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [6,7,4,2,3,1,5] => [5,7,4,1,3,2,6]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [6,7,4,2,1,3,5] => [5,7,4,2,1,3,6]
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [6,7,4,1,2,3,5] => [5,7,4,1,2,3,6]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [6,7,3,4,2,1,5] => [5,7,1,4,3,2,6]
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [6,7,3,4,1,2,5] => [5,7,2,4,1,3,6]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [6,7,3,2,4,1,5] => [5,7,2,1,4,3,6]
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [6,7,2,3,4,1,5] => [5,7,1,2,4,3,6]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [6,7,3,2,1,4,5] => [5,7,3,2,1,4,6]
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [6,7,3,1,2,4,5] => [5,7,3,1,2,4,6]
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [6,7,2,3,1,4,5] => [5,7,1,3,2,4,6]
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [6,7,2,1,3,4,5] => [5,7,2,1,3,4,6]
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [6,7,1,2,3,4,5] => [5,7,1,2,3,4,6]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [6,5,7,4,3,2,1] => [2,1,7,6,5,4,3]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [6,5,7,4,3,1,2] => [3,2,7,6,5,1,4]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [6,5,7,4,2,3,1] => [3,2,7,6,1,5,4]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [6,5,7,4,2,1,3] => [4,3,7,6,2,1,5]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [6,5,7,4,1,2,3] => [4,3,7,6,1,2,5]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [6,5,7,3,4,2,1] => [3,2,7,1,6,5,4]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [6,5,7,3,4,1,2] => [4,3,7,2,6,1,5]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [6,5,7,3,2,4,1] => [4,3,7,2,1,6,5]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [6,5,7,2,3,4,1] => [4,3,7,1,2,6,5]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [6,5,7,3,2,1,4] => [5,4,7,3,2,1,6]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [6,5,7,3,1,2,4] => [5,4,7,3,1,2,6]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [6,5,7,2,3,1,4] => [5,4,7,1,3,2,6]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [6,5,7,2,1,3,4] => [5,4,7,2,1,3,6]
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [6,5,7,1,2,3,4] => [5,4,7,1,2,3,6]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [5,6,7,4,3,2,1] => [1,2,7,6,5,4,3]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [5,6,7,4,3,1,2] => [1,3,7,6,5,2,4]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [5,6,7,4,2,3,1] => [1,3,7,6,2,5,4]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [5,6,7,4,2,1,3] => [1,4,7,6,3,2,5]
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [5,6,7,4,1,2,3] => [2,4,7,6,1,3,5]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [5,6,7,3,4,2,1] => [1,3,7,2,6,5,4]
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [5,6,7,3,4,1,2] => [1,4,7,3,6,2,5]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [5,6,7,3,2,4,1] => [1,4,7,3,2,6,5]
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [5,6,7,2,3,4,1] => [2,4,7,1,3,6,5]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [5,6,7,3,2,1,4] => [1,5,7,4,3,2,6]
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [5,6,7,3,1,2,4] => [2,5,7,4,1,3,6]
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [5,6,7,2,3,1,4] => [2,5,7,1,4,3,6]
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [5,6,7,2,1,3,4] => [3,5,7,2,1,4,6]
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [5,6,7,1,2,3,4] => [3,5,7,1,2,4,6]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [6,5,4,7,3,2,1] => [3,2,1,7,6,5,4]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [6,5,4,7,3,1,2] => [4,3,2,7,6,1,5]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [6,5,4,7,2,3,1] => [4,3,2,7,1,6,5]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [6,5,4,7,2,1,3] => [5,4,3,7,2,1,6]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [6,5,4,7,1,2,3] => [5,4,3,7,1,2,6]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [6,4,5,7,3,2,1] => [3,1,2,7,6,5,4]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [6,4,5,7,3,1,2] => [4,1,3,7,6,2,5]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [6,4,5,7,2,3,1] => [4,1,3,7,2,6,5]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [6,4,5,7,2,1,3] => [5,1,4,7,3,2,6]
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [6,4,5,7,1,2,3] => [5,2,4,7,1,3,6]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [5,6,4,7,3,2,1] => [1,3,2,7,6,5,4]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [5,6,4,7,3,1,2] => [1,4,3,7,6,2,5]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [5,6,4,7,2,3,1] => [1,4,3,7,2,6,5]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [5,6,4,7,2,1,3] => [1,5,4,7,3,2,6]
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [5,6,4,7,1,2,3] => [2,5,4,7,1,3,6]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [5,4,6,7,3,2,1] => [2,1,3,7,6,5,4]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [5,4,6,7,3,1,2] => [2,1,4,7,6,3,5]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [5,4,6,7,2,3,1] => [2,1,4,7,3,6,5]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [5,4,6,7,2,1,3] => [2,1,5,7,4,3,6]
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [5,4,6,7,1,2,3] => [3,2,5,7,1,4,6]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [4,5,6,7,3,2,1] => [1,2,3,7,6,5,4]
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [4,5,6,7,3,1,2] => [1,2,4,7,6,3,5]
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [4,5,6,7,2,3,1] => [1,2,4,7,3,6,5]
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [4,5,6,7,2,1,3] => [1,2,5,7,4,3,6]
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [4,5,6,7,1,2,3] => [1,3,5,7,2,4,6]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [6,5,4,3,7,2,1] => [4,3,2,1,7,6,5]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [6,5,4,3,7,1,2] => [5,4,3,2,7,1,6]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [6,5,3,4,7,2,1] => [4,3,1,2,7,6,5]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [6,5,3,4,7,1,2] => [5,4,1,3,7,2,6]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [6,4,5,3,7,2,1] => [4,1,3,2,7,6,5]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [6,4,5,3,7,1,2] => [5,1,4,3,7,2,6]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [6,4,3,5,7,2,1] => [4,2,1,3,7,6,5]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [6,4,3,5,7,1,2] => [5,2,1,4,7,3,6]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [6,3,4,5,7,2,1] => [4,1,2,3,7,6,5]
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [6,3,4,5,7,1,2] => [5,1,2,4,7,3,6]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [5,6,4,3,7,2,1] => [1,4,3,2,7,6,5]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [5,6,4,3,7,1,2] => [1,5,4,3,7,2,6]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [5,6,3,4,7,2,1] => [2,4,1,3,7,6,5]
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [5,6,3,4,7,1,2] => [2,5,1,4,7,3,6]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [5,4,6,3,7,2,1] => [2,1,4,3,7,6,5]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [5,4,6,3,7,1,2] => [2,1,5,4,7,3,6]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [4,5,6,3,7,2,1] => [1,2,4,3,7,6,5]
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [4,5,6,3,7,1,2] => [1,2,5,4,7,3,6]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [5,4,3,6,7,2,1] => [3,2,1,4,7,6,5]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [5,4,3,6,7,1,2] => [3,2,1,5,7,4,6]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [5,3,4,6,7,2,1] => [3,1,2,4,7,6,5]
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [5,3,4,6,7,1,2] => [3,1,2,5,7,4,6]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [4,5,3,6,7,2,1] => [1,3,2,4,7,6,5]
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [4,5,3,6,7,1,2] => [1,3,2,5,7,4,6]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [4,3,5,6,7,2,1] => [2,1,3,4,7,6,5]
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [4,3,5,6,7,1,2] => [2,1,3,5,7,4,6]
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [3,4,5,6,7,2,1] => [1,2,3,4,7,6,5]
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [3,4,5,6,7,1,2] => [1,2,3,5,7,4,6]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [6,5,4,3,2,7,1] => [5,4,3,2,1,7,6]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [6,5,4,2,3,7,1] => [5,4,3,1,2,7,6]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [6,5,3,4,2,7,1] => [5,4,1,3,2,7,6]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [6,5,3,2,4,7,1] => [5,4,2,1,3,7,6]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [6,5,2,3,4,7,1] => [5,4,1,2,3,7,6]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [6,4,5,3,2,7,1] => [5,1,4,3,2,7,6]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [6,4,5,2,3,7,1] => [5,2,4,1,3,7,6]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [6,4,3,5,2,7,1] => [5,2,1,4,3,7,6]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [6,3,4,5,2,7,1] => [5,1,2,4,3,7,6]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [6,4,3,2,5,7,1] => [5,3,2,1,4,7,6]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [6,4,2,3,5,7,1] => [5,3,1,2,4,7,6]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [6,3,4,2,5,7,1] => [5,1,3,2,4,7,6]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [6,3,2,4,5,7,1] => [5,2,1,3,4,7,6]
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [6,2,3,4,5,7,1] => [5,1,2,3,4,7,6]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [5,6,4,3,2,7,1] => [1,5,4,3,2,7,6]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [5,6,4,2,3,7,1] => [2,5,4,1,3,7,6]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [5,6,3,4,2,7,1] => [2,5,1,4,3,7,6]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [5,6,3,2,4,7,1] => [3,5,2,1,4,7,6]
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [5,6,2,3,4,7,1] => [3,5,1,2,4,7,6]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [5,4,6,3,2,7,1] => [2,1,5,4,3,7,6]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [5,4,6,2,3,7,1] => [3,2,5,1,4,7,6]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [4,5,6,3,2,7,1] => [1,2,5,4,3,7,6]
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [4,5,6,2,3,7,1] => [1,3,5,2,4,7,6]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [5,4,3,6,2,7,1] => [3,2,1,5,4,7,6]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [5,3,4,6,2,7,1] => [3,1,2,5,4,7,6]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [4,5,3,6,2,7,1] => [1,3,2,5,4,7,6]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [4,3,5,6,2,7,1] => [2,1,3,5,4,7,6]
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => [1,2,3,5,4,7,6]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [5,4,3,2,6,7,1] => [4,3,2,1,5,7,6]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [5,4,2,3,6,7,1] => [4,3,1,2,5,7,6]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [5,3,4,2,6,7,1] => [4,1,3,2,5,7,6]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [5,3,2,4,6,7,1] => [4,2,1,3,5,7,6]
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [5,2,3,4,6,7,1] => [4,1,2,3,5,7,6]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [4,5,3,2,6,7,1] => [1,4,3,2,5,7,6]
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [4,5,2,3,6,7,1] => [2,4,1,3,5,7,6]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => [2,1,4,3,5,7,6]
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => [1,2,4,3,5,7,6]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [4,3,2,5,6,7,1] => [3,2,1,4,5,7,6]
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [4,2,3,5,6,7,1] => [3,1,2,4,5,7,6]
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => [1,3,2,4,5,7,6]
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [3,2,4,5,6,7,1] => [2,1,3,4,5,7,6]
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => [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] => [6,5,4,3,1,2,7] => [6,5,4,3,1,2,7]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [6,5,4,2,3,1,7] => [6,5,4,1,3,2,7]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [6,5,4,2,1,3,7] => [6,5,4,2,1,3,7]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [6,5,4,1,2,3,7] => [6,5,4,1,2,3,7]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [6,5,3,4,2,1,7] => [6,5,1,4,3,2,7]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [6,5,3,4,1,2,7] => [6,5,2,4,1,3,7]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [6,5,3,2,4,1,7] => [6,5,2,1,4,3,7]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [6,5,2,3,4,1,7] => [6,5,1,2,4,3,7]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [6,5,3,2,1,4,7] => [6,5,3,2,1,4,7]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [6,5,3,1,2,4,7] => [6,5,3,1,2,4,7]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [6,5,2,3,1,4,7] => [6,5,1,3,2,4,7]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [6,5,2,1,3,4,7] => [6,5,2,1,3,4,7]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [6,5,1,2,3,4,7] => [6,5,1,2,3,4,7]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [6,4,5,3,2,1,7] => [6,1,5,4,3,2,7]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [6,4,5,3,1,2,7] => [6,2,5,4,1,3,7]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [6,4,5,2,3,1,7] => [6,2,5,1,4,3,7]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [6,4,5,2,1,3,7] => [6,3,5,2,1,4,7]
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [6,4,5,1,2,3,7] => [6,3,5,1,2,4,7]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [6,4,3,5,2,1,7] => [6,2,1,5,4,3,7]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [6,4,3,5,1,2,7] => [6,3,2,5,1,4,7]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [6,3,4,5,2,1,7] => [6,1,2,5,4,3,7]
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [6,3,4,5,1,2,7] => [6,1,3,5,2,4,7]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [6,4,3,2,5,1,7] => [6,3,2,1,5,4,7]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [6,4,2,3,5,1,7] => [6,3,1,2,5,4,7]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [6,3,4,2,5,1,7] => [6,1,3,2,5,4,7]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [6,3,2,4,5,1,7] => [6,2,1,3,5,4,7]
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [6,2,3,4,5,1,7] => [6,1,2,3,5,4,7]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [6,4,3,2,1,5,7] => [6,4,3,2,1,5,7]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [6,4,3,1,2,5,7] => [6,4,3,1,2,5,7]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [6,4,2,3,1,5,7] => [6,4,1,3,2,5,7]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [6,4,2,1,3,5,7] => [6,4,2,1,3,5,7]
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [6,4,1,2,3,5,7] => [6,4,1,2,3,5,7]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [6,3,4,2,1,5,7] => [6,1,4,3,2,5,7]
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [6,3,4,1,2,5,7] => [6,2,4,1,3,5,7]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [6,3,2,4,1,5,7] => [6,2,1,4,3,5,7]
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [6,2,3,4,1,5,7] => [6,1,2,4,3,5,7]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [6,3,2,1,4,5,7] => [6,3,2,1,4,5,7]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [6,3,1,2,4,5,7] => [6,3,1,2,4,5,7]
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [6,2,3,1,4,5,7] => [6,1,3,2,4,5,7]
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [6,2,1,3,4,5,7] => [6,2,1,3,4,5,7]
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [5,6,4,3,2,1,7] => [1,6,5,4,3,2,7]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [5,6,4,3,1,2,7] => [2,6,5,4,1,3,7]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [5,6,4,2,3,1,7] => [2,6,5,1,4,3,7]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [5,6,4,2,1,3,7] => [3,6,5,2,1,4,7]
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [5,6,4,1,2,3,7] => [3,6,5,1,2,4,7]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [5,6,3,4,2,1,7] => [2,6,1,5,4,3,7]
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [5,6,3,4,1,2,7] => [3,6,2,5,1,4,7]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [5,6,3,2,4,1,7] => [3,6,2,1,5,4,7]
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [5,6,2,3,4,1,7] => [3,6,1,2,5,4,7]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [5,6,3,2,1,4,7] => [4,6,3,2,1,5,7]
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [5,6,3,1,2,4,7] => [4,6,3,1,2,5,7]
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [5,6,2,3,1,4,7] => [4,6,1,3,2,5,7]
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [5,6,2,1,3,4,7] => [4,6,2,1,3,5,7]
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [5,6,1,2,3,4,7] => [4,6,1,2,3,5,7]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [5,4,6,3,2,1,7] => [2,1,6,5,4,3,7]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [5,4,6,3,1,2,7] => [3,2,6,5,1,4,7]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [5,4,6,2,3,1,7] => [3,2,6,1,5,4,7]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [5,4,6,2,1,3,7] => [4,3,6,2,1,5,7]
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [5,4,6,1,2,3,7] => [4,3,6,1,2,5,7]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [4,5,6,3,2,1,7] => [1,2,6,5,4,3,7]
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [4,5,6,3,1,2,7] => [1,3,6,5,2,4,7]
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [4,5,6,2,3,1,7] => [1,3,6,2,5,4,7]
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [4,5,6,2,1,3,7] => [1,4,6,3,2,5,7]
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [4,5,6,1,2,3,7] => [2,4,6,1,3,5,7]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [5,4,3,6,2,1,7] => [3,2,1,6,5,4,7]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [5,4,3,6,1,2,7] => [4,3,2,6,1,5,7]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [5,3,4,6,2,1,7] => [3,1,2,6,5,4,7]
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [5,3,4,6,1,2,7] => [4,1,3,6,2,5,7]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => [1,3,2,6,5,4,7]
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [4,5,3,6,1,2,7] => [1,4,3,6,2,5,7]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [4,3,5,6,2,1,7] => [2,1,3,6,5,4,7]
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [4,3,5,6,1,2,7] => [2,1,4,6,3,5,7]
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [3,4,5,6,2,1,7] => [1,2,3,6,5,4,7]
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [3,4,5,6,1,2,7] => [1,2,4,6,3,5,7]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [5,4,3,2,6,1,7] => [4,3,2,1,6,5,7]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [5,4,2,3,6,1,7] => [4,3,1,2,6,5,7]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [5,3,4,2,6,1,7] => [4,1,3,2,6,5,7]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [5,3,2,4,6,1,7] => [4,2,1,3,6,5,7]
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [5,2,3,4,6,1,7] => [4,1,2,3,6,5,7]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [4,5,3,2,6,1,7] => [1,4,3,2,6,5,7]
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [4,5,2,3,6,1,7] => [2,4,1,3,6,5,7]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [4,3,5,2,6,1,7] => [2,1,4,3,6,5,7]
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [3,4,5,2,6,1,7] => [1,2,4,3,6,5,7]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [4,3,2,5,6,1,7] => [3,2,1,4,6,5,7]
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [4,2,3,5,6,1,7] => [3,1,2,4,6,5,7]
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [3,4,2,5,6,1,7] => [1,3,2,4,6,5,7]
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [3,2,4,5,6,1,7] => [2,1,3,4,6,5,7]
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => [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] => [5,4,3,1,2,6,7] => [5,4,3,1,2,6,7]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [5,4,2,3,1,6,7] => [5,4,1,3,2,6,7]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [5,4,2,1,3,6,7] => [5,4,2,1,3,6,7]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [5,4,1,2,3,6,7] => [5,4,1,2,3,6,7]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [5,3,4,2,1,6,7] => [5,1,4,3,2,6,7]
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [5,3,4,1,2,6,7] => [5,2,4,1,3,6,7]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [5,3,2,4,1,6,7] => [5,2,1,4,3,6,7]
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [5,2,3,4,1,6,7] => [5,1,2,4,3,6,7]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [5,3,2,1,4,6,7] => [5,3,2,1,4,6,7]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,3,1,2,4,6,7] => [5,3,1,2,4,6,7]
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [5,2,3,1,4,6,7] => [5,1,3,2,4,6,7]
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [5,2,1,3,4,6,7] => [5,2,1,3,4,6,7]
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [4,5,3,2,1,6,7] => [1,5,4,3,2,6,7]
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [4,5,3,1,2,6,7] => [2,5,4,1,3,6,7]
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [4,5,2,3,1,6,7] => [2,5,1,4,3,6,7]
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [4,5,2,1,3,6,7] => [3,5,2,1,4,6,7]
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [4,5,1,2,3,6,7] => [3,5,1,2,4,6,7]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [4,3,5,2,1,6,7] => [2,1,5,4,3,6,7]
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [4,3,5,1,2,6,7] => [3,2,5,1,4,6,7]
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [3,4,5,2,1,6,7] => [1,2,5,4,3,6,7]
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [3,4,5,1,2,6,7] => [1,3,5,2,4,6,7]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [4,3,2,5,1,6,7] => [3,2,1,5,4,6,7]
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [4,2,3,5,1,6,7] => [3,1,2,5,4,6,7]
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [3,4,2,5,1,6,7] => [1,3,2,5,4,6,7]
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [3,2,4,5,1,6,7] => [2,1,3,5,4,6,7]
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => [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] => [4,3,1,2,5,6,7] => [4,3,1,2,5,6,7]
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [4,2,3,1,5,6,7] => [4,1,3,2,5,6,7]
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [4,2,1,3,5,6,7] => [4,2,1,3,5,6,7]
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7]
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [3,4,2,1,5,6,7] => [1,4,3,2,5,6,7]
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [3,4,1,2,5,6,7] => [2,4,1,3,5,6,7]
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [3,2,4,1,5,6,7] => [2,1,4,3,5,6,7]
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => [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] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7]
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => [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]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [8,7,6,5,4,2,1,3] => [8,7,6,5,4,2,1,3]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [8,7,6,5,1,2,3,4] => [8,7,6,5,1,2,3,4]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [8,7,6,4,3,2,1,5] => [8,7,6,4,3,2,1,5]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [8,7,6,4,2,1,3,5] => [8,7,6,4,2,1,3,5]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [8,7,6,1,2,3,4,5] => [8,7,6,1,2,3,4,5]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [8,7,5,6,3,4,2,1] => [8,7,2,6,1,5,4,3]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [8,7,5,6,1,2,3,4] => [8,7,4,6,1,2,3,5]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [8,7,5,2,1,3,4,6] => [8,7,5,2,1,3,4,6]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [8,7,5,1,2,3,4,6] => [8,7,5,1,2,3,4,6]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [8,6,7,5,4,2,3,1] => [8,2,7,6,5,1,4,3]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [8,6,7,5,1,2,3,4] => [8,4,7,6,1,2,3,5]
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [8,6,7,1,2,3,4,5] => [8,5,7,1,2,3,4,6]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [8,6,5,7,3,2,4,1] => [8,4,3,7,2,1,6,5]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [8,6,5,7,1,2,3,4] => [8,5,4,7,1,2,3,6]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [8,5,6,7,2,3,4,1] => [8,2,4,7,1,3,6,5]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [8,5,6,7,1,2,3,4] => [8,3,5,7,1,2,4,6]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [8,4,3,5,6,7,1,2] => [8,2,1,3,5,7,4,6]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [8,6,5,4,3,2,1,7] => [8,6,5,4,3,2,1,7]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [8,6,5,4,3,1,2,7] => [8,6,5,4,3,1,2,7]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [8,6,5,4,2,1,3,7] => [8,6,5,4,2,1,3,7]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [6,4,5,7,3,2,8,1] => [8,6,5,2,3,1,4,7] => [8,6,5,1,3,2,4,7]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [8,6,5,1,2,3,4,7] => [8,6,5,1,2,3,4,7]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [8,6,4,3,2,1,5,7] => [8,6,4,3,2,1,5,7]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [8,6,4,2,1,3,5,7] => [8,6,4,2,1,3,5,7]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [8,6,3,4,2,1,5,7] => [8,6,1,4,3,2,5,7]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [8,5,6,3,4,1,2,7] => [8,3,6,2,5,1,4,7]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [8,5,6,2,3,1,4,7] => [8,4,6,1,3,2,5,7]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [8,5,6,1,2,3,4,7] => [8,4,6,1,2,3,5,7]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [8,4,5,6,3,2,1,7] => [8,1,2,6,5,4,3,7]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [7,8,6,5,4,3,1,2] => [2,8,7,6,5,4,1,3]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [7,8,6,5,2,1,3,4] => [4,8,7,6,2,1,3,5]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [7,8,6,5,1,2,3,4] => [4,8,7,6,1,2,3,5]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [7,8,6,1,2,3,4,5] => [5,8,7,1,2,3,4,6]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,8,5,6,3,4,1,2] => [4,8,3,7,2,6,1,5]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [7,8,5,6,2,1,3,4] => [5,8,4,7,2,1,3,6]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [7,8,5,6,1,2,3,4] => [5,8,4,7,1,2,3,6]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [7,8,4,3,5,6,1,2] => [5,8,2,1,4,7,3,6]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [7,8,3,4,5,6,1,2] => [5,8,1,2,4,7,3,6]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [7,8,3,2,4,5,6,1] => [5,8,2,1,3,4,7,6]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [7,8,5,4,2,1,3,6] => [6,8,5,4,2,1,3,7]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [5,6,7,4,3,8,1,2] => [7,8,5,4,1,2,3,6] => [6,8,5,4,1,2,3,7]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [5,4,6,7,3,8,1,2] => [7,8,5,2,1,3,4,6] => [6,8,5,2,1,3,4,7]
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [4,5,6,7,3,8,1,2] => [7,8,5,1,2,3,4,6] => [6,8,5,1,2,3,4,7]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [7,8,3,2,1,4,5,6] => [6,8,3,2,1,4,5,7]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [7,8,1,2,3,4,5,6] => [6,8,1,2,3,4,5,7]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,8,5,4,2,1,3] => [4,3,8,7,6,2,1,5]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [7,6,8,5,1,2,3,4] => [5,4,8,7,1,2,3,6]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [7,6,8,1,2,3,4,5] => [6,5,8,1,2,3,4,7]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,7,8,5,4,1,2,3] => [2,4,8,7,6,1,3,5]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,1,2,3] => [6,7,8,5,2,1,3,4] => [3,5,8,7,2,1,4,6]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [6,7,8,5,1,2,3,4] => [3,5,8,7,1,2,4,6]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [6,7,8,1,2,3,4,5] => [4,6,8,1,2,3,5,7]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,8,3,2,1,4] => [6,5,4,8,3,2,1,7]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [7,6,5,8,1,2,3,4] => [6,5,4,8,1,2,3,7]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [7,5,6,8,2,3,1,4] => [6,2,5,8,1,4,3,7]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [7,5,6,8,1,2,3,4] => [6,3,5,8,1,2,4,7]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,7,5,8,3,1,2,4] => [2,6,5,8,4,1,3,7]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [6,7,5,8,1,2,3,4] => [3,6,5,8,1,2,4,7]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [6,5,7,8,3,4,1,2] => [2,1,5,8,4,7,3,6]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,7,8,2,1,3,4] => [4,3,6,8,2,1,5,7]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [6,5,7,8,1,2,3,4] => [4,3,6,8,1,2,5,7]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [5,6,7,8,4,3,2,1] => [1,2,3,8,7,6,5,4]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [5,6,7,8,4,3,1,2] => [1,2,4,8,7,6,3,5]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [5,6,7,8,4,2,3,1] => [1,2,4,8,7,3,6,5]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [5,6,7,8,4,2,1,3] => [1,2,5,8,7,4,3,6]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [5,6,7,8,4,1,2,3] => [1,3,5,8,7,2,4,6]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [5,6,7,8,3,4,2,1] => [1,2,4,8,3,7,6,5]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [5,6,7,8,3,4,1,2] => [1,2,5,8,4,7,3,6]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [5,6,7,8,3,2,4,1] => [1,2,5,8,4,3,7,6]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [5,6,7,8,2,3,4,1] => [1,3,5,8,2,4,7,6]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [5,6,7,8,3,2,1,4] => [1,2,6,8,5,4,3,7]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [5,6,7,8,3,1,2,4] => [1,3,6,8,5,2,4,7]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [5,6,7,8,2,3,1,4] => [1,3,6,8,2,5,4,7]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [5,6,7,8,2,1,3,4] => [1,4,6,8,3,2,5,7]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,6,7,8,1,2,3,4] => [2,4,6,8,1,3,5,7]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [6,3,4,5,7,8,1,2] => [4,1,2,3,6,8,5,7]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [5,4,3,6,7,8,1,2] => [3,2,1,4,6,8,5,7]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [4,3,5,6,7,8,1,2] => [2,1,3,4,6,8,5,7]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [3,4,5,6,7,8,1,2] => [1,2,3,4,6,8,5,7]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => [2,1,4,3,6,5,8,7]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,8,7]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [7,4,5,6,3,2,1,8] => [7,6,5,2,3,4,1,8] => [7,6,5,1,2,4,3,8]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [7,6,5,1,2,3,4,8] => [7,6,5,1,2,3,4,8]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [7,5,6,3,4,2,1,8] => [7,2,6,1,5,4,3,8]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [7,4,5,6,2,3,1,8] => [7,5,6,2,3,4,1,8] => [7,3,6,1,2,5,4,8]
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [4,5,6,7,2,3,1,8] => [7,5,6,1,2,3,4,8] => [7,4,6,1,2,3,5,8]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [6,7,5,4,2,3,1,8] => [2,7,6,5,1,4,3,8]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [7,4,5,6,3,1,2,8] => [6,7,5,2,3,4,1,8] => [3,7,6,1,2,5,4,8]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [6,7,5,1,2,3,4,8] => [4,7,6,1,2,3,5,8]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [6,5,7,3,2,4,1,8] => [4,3,7,2,1,6,5,8]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [7,4,5,6,2,1,3,8] => [6,5,7,2,3,4,1,8] => [4,3,7,1,2,6,5,8]
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [4,5,6,7,2,1,3,8] => [6,5,7,1,2,3,4,8] => [5,4,7,1,2,3,6,8]
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [5,6,7,2,3,4,1,8] => [2,4,7,1,3,6,5,8]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [5,6,7,1,2,3,4,8] => [3,5,7,1,2,4,6,8]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [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 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
inverse
Description
Sends a permutation to its inverse.
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..
searching the database
Sorry, this map was not found in the database.