Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00252: Permutations —restriction⟶ Permutations
Mp00067: Permutations —Foata bijection⟶ Permutations
Mp00252: Permutations —restriction⟶ Permutations
Mp00067: Permutations —Foata bijection⟶ Permutations
Images
[.,.] => [1] => [] => []
[.,[.,.]] => [2,1] => [1] => [1]
[[.,.],.] => [1,2] => [1] => [1]
[.,[.,[.,.]]] => [3,2,1] => [2,1] => [2,1]
[.,[[.,.],.]] => [2,3,1] => [2,1] => [2,1]
[[.,.],[.,.]] => [3,1,2] => [1,2] => [1,2]
[[.,[.,.]],.] => [2,1,3] => [2,1] => [2,1]
[[[.,.],.],.] => [1,2,3] => [1,2] => [1,2]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [3,2,1] => [3,2,1]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [3,2,1] => [3,2,1]
[.,[[.,.],[.,.]]] => [4,2,3,1] => [2,3,1] => [2,3,1]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [3,2,1] => [3,2,1]
[.,[[[.,.],.],.]] => [2,3,4,1] => [2,3,1] => [2,3,1]
[[.,.],[.,[.,.]]] => [4,3,1,2] => [3,1,2] => [1,3,2]
[[.,.],[[.,.],.]] => [3,4,1,2] => [3,1,2] => [1,3,2]
[[.,[.,.]],[.,.]] => [4,2,1,3] => [2,1,3] => [2,1,3]
[[[.,.],.],[.,.]] => [4,1,2,3] => [1,2,3] => [1,2,3]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1] => [3,2,1]
[[.,[[.,.],.]],.] => [2,3,1,4] => [2,3,1] => [2,3,1]
[[[.,.],[.,.]],.] => [3,1,2,4] => [3,1,2] => [1,3,2]
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3] => [2,1,3]
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3] => [1,2,3]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [4,3,2,1] => [4,3,2,1]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [4,3,2,1] => [4,3,2,1]
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [3,4,2,1] => [3,4,2,1]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [4,3,2,1] => [4,3,2,1]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [3,4,2,1] => [3,4,2,1]
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [4,2,3,1] => [2,4,3,1]
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [4,2,3,1] => [2,4,3,1]
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [3,2,4,1] => [3,2,4,1]
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [2,3,4,1] => [2,3,4,1]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [4,3,2,1] => [4,3,2,1]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [3,4,2,1] => [3,4,2,1]
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [4,2,3,1] => [2,4,3,1]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [3,2,4,1] => [3,2,4,1]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [2,3,4,1] => [2,3,4,1]
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [4,3,1,2] => [1,4,3,2]
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [4,3,1,2] => [1,4,3,2]
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [3,4,1,2] => [1,3,4,2]
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [4,3,1,2] => [1,4,3,2]
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [3,4,1,2] => [1,3,4,2]
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [4,2,1,3] => [2,4,1,3]
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [4,2,1,3] => [2,4,1,3]
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [4,1,2,3] => [1,2,4,3]
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [4,1,2,3] => [1,2,4,3]
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [3,2,1,4] => [3,2,1,4]
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [2,3,1,4] => [2,3,1,4]
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [3,1,2,4] => [1,3,2,4]
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [2,1,3,4] => [2,1,3,4]
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [1,2,3,4] => [1,2,3,4]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,3,2,1] => [4,3,2,1]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [3,4,2,1] => [3,4,2,1]
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [4,2,3,1] => [2,4,3,1]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [3,2,4,1] => [3,2,4,1]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [2,3,4,1] => [2,3,4,1]
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [4,3,1,2] => [1,4,3,2]
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [3,4,1,2] => [1,3,4,2]
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [4,2,1,3] => [2,4,1,3]
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [4,1,2,3] => [1,2,4,3]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,2,1,4] => [3,2,1,4]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [2,3,1,4] => [2,3,1,4]
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [3,1,2,4] => [1,3,2,4]
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4] => [2,1,3,4]
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4]
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [5,4,3,2,1]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [5,4,3,2,1] => [5,4,3,2,1]
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [4,5,3,2,1] => [4,5,3,2,1]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [5,4,3,2,1] => [5,4,3,2,1]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [4,5,3,2,1] => [4,5,3,2,1]
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [5,3,4,2,1] => [3,5,4,2,1]
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [5,3,4,2,1] => [3,5,4,2,1]
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [4,3,5,2,1] => [4,3,5,2,1]
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [3,4,5,2,1] => [3,4,5,2,1]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [5,4,3,2,1] => [5,4,3,2,1]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [4,5,3,2,1] => [4,5,3,2,1]
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [5,3,4,2,1] => [3,5,4,2,1]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [4,3,5,2,1] => [4,3,5,2,1]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [3,4,5,2,1] => [3,4,5,2,1]
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [5,4,2,3,1] => [2,5,4,3,1]
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [5,4,2,3,1] => [2,5,4,3,1]
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [4,5,2,3,1] => [2,4,5,3,1]
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [5,4,2,3,1] => [2,5,4,3,1]
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [4,5,2,3,1] => [2,4,5,3,1]
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [5,3,2,4,1] => [3,5,2,4,1]
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [5,3,2,4,1] => [3,5,2,4,1]
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [5,2,3,4,1] => [2,3,5,4,1]
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [5,2,3,4,1] => [2,3,5,4,1]
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [4,3,2,5,1] => [4,3,2,5,1]
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [3,4,2,5,1] => [3,4,2,5,1]
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [4,2,3,5,1] => [2,4,3,5,1]
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [3,2,4,5,1] => [3,2,4,5,1]
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [2,3,4,5,1] => [2,3,4,5,1]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [5,4,3,2,1] => [5,4,3,2,1]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [4,5,3,2,1] => [4,5,3,2,1]
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [5,3,4,2,1] => [3,5,4,2,1]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [4,3,5,2,1] => [4,3,5,2,1]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [3,4,5,2,1] => [3,4,5,2,1]
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [5,4,2,3,1] => [2,5,4,3,1]
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [4,5,2,3,1] => [2,4,5,3,1]
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [5,3,2,4,1] => [3,5,2,4,1]
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [5,2,3,4,1] => [2,3,5,4,1]
>>> Load all 1045 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [4,3,2,5,1] => [4,3,2,5,1]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [3,4,2,5,1] => [3,4,2,5,1]
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [4,2,3,5,1] => [2,4,3,5,1]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [3,2,4,5,1] => [3,2,4,5,1]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [2,3,4,5,1] => [2,3,4,5,1]
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [5,4,3,1,2] => [1,5,4,3,2]
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [5,4,3,1,2] => [1,5,4,3,2]
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [4,5,3,1,2] => [1,4,5,3,2]
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [5,4,3,1,2] => [1,5,4,3,2]
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [4,5,3,1,2] => [1,4,5,3,2]
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,4,1,2] => [1,3,5,4,2]
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,4,1,2] => [1,3,5,4,2]
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [4,3,5,1,2] => [1,4,3,5,2]
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [3,4,5,1,2] => [1,3,4,5,2]
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [5,4,3,1,2] => [1,5,4,3,2]
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [4,5,3,1,2] => [1,4,5,3,2]
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [5,3,4,1,2] => [1,3,5,4,2]
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [4,3,5,1,2] => [1,4,3,5,2]
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [3,4,5,1,2] => [1,3,4,5,2]
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [5,4,2,1,3] => [2,5,4,1,3]
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,4,2,1,3] => [2,5,4,1,3]
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [4,5,2,1,3] => [2,4,5,1,3]
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,4,2,1,3] => [2,5,4,1,3]
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [4,5,2,1,3] => [2,4,5,1,3]
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [5,4,1,2,3] => [1,2,5,4,3]
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [5,4,1,2,3] => [1,2,5,4,3]
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,1,2,3] => [1,2,4,5,3]
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [5,4,1,2,3] => [1,2,5,4,3]
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [4,5,1,2,3] => [1,2,4,5,3]
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [5,3,2,1,4] => [3,5,2,1,4]
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,3,2,1,4] => [3,5,2,1,4]
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [5,2,3,1,4] => [2,3,5,1,4]
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [5,2,3,1,4] => [2,3,5,1,4]
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [5,3,1,2,4] => [1,3,5,2,4]
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [5,3,1,2,4] => [1,3,5,2,4]
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [5,2,1,3,4] => [2,1,5,3,4]
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [5,2,1,3,4] => [2,1,5,3,4]
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [5,1,2,3,4] => [1,2,3,5,4]
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [5,1,2,3,4] => [1,2,3,5,4]
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [4,3,2,1,5] => [4,3,2,1,5]
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [3,4,2,1,5] => [3,4,2,1,5]
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [4,2,3,1,5] => [2,4,3,1,5]
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [3,2,4,1,5] => [3,2,4,1,5]
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [2,3,4,1,5] => [2,3,4,1,5]
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,3,1,2,5] => [1,4,3,2,5]
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [3,4,1,2,5] => [1,3,4,2,5]
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,2,1,3,5] => [2,4,1,3,5]
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [4,1,2,3,5] => [1,2,4,3,5]
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5]
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [2,3,1,4,5] => [2,3,1,4,5]
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,1,2,4,5] => [1,3,2,4,5]
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5]
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,4,3,2,1] => [5,4,3,2,1]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [4,5,3,2,1] => [4,5,3,2,1]
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [5,3,4,2,1] => [3,5,4,2,1]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [4,3,5,2,1] => [4,3,5,2,1]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [3,4,5,2,1] => [3,4,5,2,1]
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [5,4,2,3,1] => [2,5,4,3,1]
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [4,5,2,3,1] => [2,4,5,3,1]
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [5,3,2,4,1] => [3,5,2,4,1]
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [5,2,3,4,1] => [2,3,5,4,1]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [4,3,2,5,1] => [4,3,2,5,1]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [3,4,2,5,1] => [3,4,2,5,1]
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [4,2,3,5,1] => [2,4,3,5,1]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [3,2,4,5,1] => [3,2,4,5,1]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [2,3,4,5,1] => [2,3,4,5,1]
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [5,4,3,1,2] => [1,5,4,3,2]
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [4,5,3,1,2] => [1,4,5,3,2]
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [5,3,4,1,2] => [1,3,5,4,2]
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [4,3,5,1,2] => [1,4,3,5,2]
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [3,4,5,1,2] => [1,3,4,5,2]
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [5,4,2,1,3] => [2,5,4,1,3]
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [4,5,2,1,3] => [2,4,5,1,3]
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [5,4,1,2,3] => [1,2,5,4,3]
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [4,5,1,2,3] => [1,2,4,5,3]
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [5,3,2,1,4] => [3,5,2,1,4]
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [5,2,3,1,4] => [2,3,5,1,4]
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [5,3,1,2,4] => [1,3,5,2,4]
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [5,2,1,3,4] => [2,1,5,3,4]
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [5,1,2,3,4] => [1,2,3,5,4]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,3,2,1,5] => [4,3,2,1,5]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [3,4,2,1,5] => [3,4,2,1,5]
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [4,2,3,1,5] => [2,4,3,1,5]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [3,2,4,1,5] => [3,2,4,1,5]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [2,3,4,1,5] => [2,3,4,1,5]
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [4,3,1,2,5] => [1,4,3,2,5]
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [3,4,1,2,5] => [1,3,4,2,5]
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [4,2,1,3,5] => [2,4,1,3,5]
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [4,1,2,3,5] => [1,2,4,3,5]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,2,1,4,5] => [3,2,1,4,5]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [2,3,1,4,5] => [2,3,1,4,5]
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [3,1,2,4,5] => [1,3,2,4,5]
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5] => [2,1,3,4,5]
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [6,5,4,3,2,1] => [6,5,4,3,2,1]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [6,5,4,3,2,1] => [6,5,4,3,2,1]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [5,6,4,3,2,1] => [5,6,4,3,2,1]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [6,5,4,3,2,1] => [6,5,4,3,2,1]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [5,6,4,3,2,1] => [5,6,4,3,2,1]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [6,4,5,3,2,1] => [4,6,5,3,2,1]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [6,4,5,3,2,1] => [4,6,5,3,2,1]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [5,4,6,3,2,1] => [5,4,6,3,2,1]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [4,5,6,3,2,1] => [4,5,6,3,2,1]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [6,5,4,3,2,1] => [6,5,4,3,2,1]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [5,6,4,3,2,1] => [5,6,4,3,2,1]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [6,4,5,3,2,1] => [4,6,5,3,2,1]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [5,4,6,3,2,1] => [5,4,6,3,2,1]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [4,5,6,3,2,1] => [4,5,6,3,2,1]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [6,5,3,4,2,1] => [3,6,5,4,2,1]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [6,5,3,4,2,1] => [3,6,5,4,2,1]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [5,6,3,4,2,1] => [3,5,6,4,2,1]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [6,5,3,4,2,1] => [3,6,5,4,2,1]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [5,6,3,4,2,1] => [3,5,6,4,2,1]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [6,4,3,5,2,1] => [4,6,3,5,2,1]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [6,4,3,5,2,1] => [4,6,3,5,2,1]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [6,3,4,5,2,1] => [3,4,6,5,2,1]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [6,3,4,5,2,1] => [3,4,6,5,2,1]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [5,4,3,6,2,1] => [5,4,3,6,2,1]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [4,5,3,6,2,1] => [4,5,3,6,2,1]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [5,3,4,6,2,1] => [3,5,4,6,2,1]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [4,3,5,6,2,1] => [4,3,5,6,2,1]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [3,4,5,6,2,1] => [3,4,5,6,2,1]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [6,5,4,3,2,1] => [6,5,4,3,2,1]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [5,6,4,3,2,1] => [5,6,4,3,2,1]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [6,4,5,3,2,1] => [4,6,5,3,2,1]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [5,4,6,3,2,1] => [5,4,6,3,2,1]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [4,5,6,3,2,1] => [4,5,6,3,2,1]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [6,5,3,4,2,1] => [3,6,5,4,2,1]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [5,6,3,4,2,1] => [3,5,6,4,2,1]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [6,4,3,5,2,1] => [4,6,3,5,2,1]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [6,3,4,5,2,1] => [3,4,6,5,2,1]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [5,4,3,6,2,1] => [5,4,3,6,2,1]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [4,5,3,6,2,1] => [4,5,3,6,2,1]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [5,3,4,6,2,1] => [3,5,4,6,2,1]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [4,3,5,6,2,1] => [4,3,5,6,2,1]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [3,4,5,6,2,1] => [3,4,5,6,2,1]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [6,5,4,2,3,1] => [2,6,5,4,3,1]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [6,5,4,2,3,1] => [2,6,5,4,3,1]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [5,6,4,2,3,1] => [2,5,6,4,3,1]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [6,5,4,2,3,1] => [2,6,5,4,3,1]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [5,6,4,2,3,1] => [2,5,6,4,3,1]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [6,4,5,2,3,1] => [2,4,6,5,3,1]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [6,4,5,2,3,1] => [2,4,6,5,3,1]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [5,4,6,2,3,1] => [2,5,4,6,3,1]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [4,5,6,2,3,1] => [2,4,5,6,3,1]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [6,5,4,2,3,1] => [2,6,5,4,3,1]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [5,6,4,2,3,1] => [2,5,6,4,3,1]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [6,4,5,2,3,1] => [2,4,6,5,3,1]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [5,4,6,2,3,1] => [2,5,4,6,3,1]
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [4,5,6,2,3,1] => [2,4,5,6,3,1]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [6,5,3,2,4,1] => [3,6,5,2,4,1]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [6,5,3,2,4,1] => [3,6,5,2,4,1]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [5,6,3,2,4,1] => [3,5,6,2,4,1]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [6,5,3,2,4,1] => [3,6,5,2,4,1]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [5,6,3,2,4,1] => [3,5,6,2,4,1]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [6,5,2,3,4,1] => [2,3,6,5,4,1]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [6,5,2,3,4,1] => [2,3,6,5,4,1]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [5,6,2,3,4,1] => [2,3,5,6,4,1]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [6,5,2,3,4,1] => [2,3,6,5,4,1]
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [5,6,2,3,4,1] => [2,3,5,6,4,1]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [6,4,3,2,5,1] => [4,6,3,2,5,1]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [6,4,3,2,5,1] => [4,6,3,2,5,1]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [6,3,4,2,5,1] => [3,4,6,2,5,1]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [6,3,4,2,5,1] => [3,4,6,2,5,1]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [6,4,2,3,5,1] => [2,4,6,3,5,1]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [6,4,2,3,5,1] => [2,4,6,3,5,1]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [6,3,2,4,5,1] => [3,2,6,4,5,1]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [6,3,2,4,5,1] => [3,2,6,4,5,1]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [6,2,3,4,5,1] => [2,3,4,6,5,1]
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [6,2,3,4,5,1] => [2,3,4,6,5,1]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [5,4,3,2,6,1] => [5,4,3,2,6,1]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [4,5,3,2,6,1] => [4,5,3,2,6,1]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [5,3,4,2,6,1] => [3,5,4,2,6,1]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [4,3,5,2,6,1] => [4,3,5,2,6,1]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [3,4,5,2,6,1] => [3,4,5,2,6,1]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [5,4,2,3,6,1] => [2,5,4,3,6,1]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [4,5,2,3,6,1] => [2,4,5,3,6,1]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [5,3,2,4,6,1] => [3,5,2,4,6,1]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [5,2,3,4,6,1] => [2,3,5,4,6,1]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [4,3,2,5,6,1] => [4,3,2,5,6,1]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [3,4,2,5,6,1] => [3,4,2,5,6,1]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [4,2,3,5,6,1] => [2,4,3,5,6,1]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [3,2,4,5,6,1] => [3,2,4,5,6,1]
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [2,3,4,5,6,1] => [2,3,4,5,6,1]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [6,5,4,3,2,1] => [6,5,4,3,2,1]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [5,6,4,3,2,1] => [5,6,4,3,2,1]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [6,4,5,3,2,1] => [4,6,5,3,2,1]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [5,4,6,3,2,1] => [5,4,6,3,2,1]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [4,5,6,3,2,1] => [4,5,6,3,2,1]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [6,5,3,4,2,1] => [3,6,5,4,2,1]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [5,6,3,4,2,1] => [3,5,6,4,2,1]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [6,4,3,5,2,1] => [4,6,3,5,2,1]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [6,3,4,5,2,1] => [3,4,6,5,2,1]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [5,4,3,6,2,1] => [5,4,3,6,2,1]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [4,5,3,6,2,1] => [4,5,3,6,2,1]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [5,3,4,6,2,1] => [3,5,4,6,2,1]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [4,3,5,6,2,1] => [4,3,5,6,2,1]
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [3,4,5,6,2,1] => [3,4,5,6,2,1]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [6,5,4,2,3,1] => [2,6,5,4,3,1]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [5,6,4,2,3,1] => [2,5,6,4,3,1]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [6,4,5,2,3,1] => [2,4,6,5,3,1]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [5,4,6,2,3,1] => [2,5,4,6,3,1]
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [4,5,6,2,3,1] => [2,4,5,6,3,1]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [6,5,3,2,4,1] => [3,6,5,2,4,1]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [5,6,3,2,4,1] => [3,5,6,2,4,1]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [6,5,2,3,4,1] => [2,3,6,5,4,1]
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [5,6,2,3,4,1] => [2,3,5,6,4,1]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [6,4,3,2,5,1] => [4,6,3,2,5,1]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [6,3,4,2,5,1] => [3,4,6,2,5,1]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [6,4,2,3,5,1] => [2,4,6,3,5,1]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [6,3,2,4,5,1] => [3,2,6,4,5,1]
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [6,2,3,4,5,1] => [2,3,4,6,5,1]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [5,4,3,2,6,1] => [5,4,3,2,6,1]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [4,5,3,2,6,1] => [4,5,3,2,6,1]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [5,3,4,2,6,1] => [3,5,4,2,6,1]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [4,3,5,2,6,1] => [4,3,5,2,6,1]
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [3,4,5,2,6,1] => [3,4,5,2,6,1]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [5,4,2,3,6,1] => [2,5,4,3,6,1]
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [4,5,2,3,6,1] => [2,4,5,3,6,1]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [5,3,2,4,6,1] => [3,5,2,4,6,1]
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [5,2,3,4,6,1] => [2,3,5,4,6,1]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [4,3,2,5,6,1] => [4,3,2,5,6,1]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [3,4,2,5,6,1] => [3,4,2,5,6,1]
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [4,2,3,5,6,1] => [2,4,3,5,6,1]
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [3,2,4,5,6,1] => [3,2,4,5,6,1]
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [2,3,4,5,6,1] => [2,3,4,5,6,1]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [6,5,4,3,1,2] => [1,6,5,4,3,2]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [6,5,4,3,1,2] => [1,6,5,4,3,2]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [5,6,4,3,1,2] => [1,5,6,4,3,2]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [6,5,4,3,1,2] => [1,6,5,4,3,2]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [5,6,4,3,1,2] => [1,5,6,4,3,2]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [6,4,5,3,1,2] => [1,4,6,5,3,2]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [6,4,5,3,1,2] => [1,4,6,5,3,2]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [5,4,6,3,1,2] => [1,5,4,6,3,2]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [4,5,6,3,1,2] => [1,4,5,6,3,2]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [6,5,4,3,1,2] => [1,6,5,4,3,2]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [5,6,4,3,1,2] => [1,5,6,4,3,2]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [6,4,5,3,1,2] => [1,4,6,5,3,2]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [5,4,6,3,1,2] => [1,5,4,6,3,2]
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [4,5,6,3,1,2] => [1,4,5,6,3,2]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [6,5,3,4,1,2] => [1,3,6,5,4,2]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [6,5,3,4,1,2] => [1,3,6,5,4,2]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [5,6,3,4,1,2] => [1,3,5,6,4,2]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [6,5,3,4,1,2] => [1,3,6,5,4,2]
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [5,6,3,4,1,2] => [1,3,5,6,4,2]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [6,4,3,5,1,2] => [1,4,6,3,5,2]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [6,4,3,5,1,2] => [1,4,6,3,5,2]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [6,3,4,5,1,2] => [1,3,4,6,5,2]
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [6,3,4,5,1,2] => [1,3,4,6,5,2]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [5,4,3,6,1,2] => [1,5,4,3,6,2]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [4,5,3,6,1,2] => [1,4,5,3,6,2]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [5,3,4,6,1,2] => [1,3,5,4,6,2]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [4,3,5,6,1,2] => [1,4,3,5,6,2]
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [3,4,5,6,1,2] => [1,3,4,5,6,2]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [6,5,4,3,1,2] => [1,6,5,4,3,2]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [5,6,4,3,1,2] => [1,5,6,4,3,2]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [6,4,5,3,1,2] => [1,4,6,5,3,2]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [5,4,6,3,1,2] => [1,5,4,6,3,2]
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [4,5,6,3,1,2] => [1,4,5,6,3,2]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [6,5,3,4,1,2] => [1,3,6,5,4,2]
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [5,6,3,4,1,2] => [1,3,5,6,4,2]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [6,4,3,5,1,2] => [1,4,6,3,5,2]
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [6,3,4,5,1,2] => [1,3,4,6,5,2]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [5,4,3,6,1,2] => [1,5,4,3,6,2]
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [4,5,3,6,1,2] => [1,4,5,3,6,2]
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [5,3,4,6,1,2] => [1,3,5,4,6,2]
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [4,3,5,6,1,2] => [1,4,3,5,6,2]
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [3,4,5,6,1,2] => [1,3,4,5,6,2]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [6,5,4,2,1,3] => [2,6,5,4,1,3]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [6,5,4,2,1,3] => [2,6,5,4,1,3]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [5,6,4,2,1,3] => [2,5,6,4,1,3]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [6,5,4,2,1,3] => [2,6,5,4,1,3]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [5,6,4,2,1,3] => [2,5,6,4,1,3]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [6,4,5,2,1,3] => [2,4,6,5,1,3]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [6,4,5,2,1,3] => [2,4,6,5,1,3]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [5,4,6,2,1,3] => [2,5,4,6,1,3]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [4,5,6,2,1,3] => [2,4,5,6,1,3]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [6,5,4,2,1,3] => [2,6,5,4,1,3]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [5,6,4,2,1,3] => [2,5,6,4,1,3]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [6,4,5,2,1,3] => [2,4,6,5,1,3]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [5,4,6,2,1,3] => [2,5,4,6,1,3]
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [4,5,6,2,1,3] => [2,4,5,6,1,3]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [6,5,4,1,2,3] => [1,2,6,5,4,3]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [6,5,4,1,2,3] => [1,2,6,5,4,3]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [5,6,4,1,2,3] => [1,2,5,6,4,3]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [6,5,4,1,2,3] => [1,2,6,5,4,3]
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [5,6,4,1,2,3] => [1,2,5,6,4,3]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [6,4,5,1,2,3] => [1,2,4,6,5,3]
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [6,4,5,1,2,3] => [1,2,4,6,5,3]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [5,4,6,1,2,3] => [1,2,5,4,6,3]
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [4,5,6,1,2,3] => [1,2,4,5,6,3]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [6,5,4,1,2,3] => [1,2,6,5,4,3]
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [5,6,4,1,2,3] => [1,2,5,6,4,3]
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [6,4,5,1,2,3] => [1,2,4,6,5,3]
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [5,4,6,1,2,3] => [1,2,5,4,6,3]
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [4,5,6,1,2,3] => [1,2,4,5,6,3]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [6,5,3,2,1,4] => [3,6,5,2,1,4]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [6,5,3,2,1,4] => [3,6,5,2,1,4]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [5,6,3,2,1,4] => [3,5,6,2,1,4]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [6,5,3,2,1,4] => [3,6,5,2,1,4]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [5,6,3,2,1,4] => [3,5,6,2,1,4]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [6,5,2,3,1,4] => [2,3,6,5,1,4]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [6,5,2,3,1,4] => [2,3,6,5,1,4]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [5,6,2,3,1,4] => [2,3,5,6,1,4]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [6,5,2,3,1,4] => [2,3,6,5,1,4]
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [5,6,2,3,1,4] => [2,3,5,6,1,4]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [6,5,3,1,2,4] => [1,3,6,5,2,4]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [6,5,3,1,2,4] => [1,3,6,5,2,4]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [5,6,3,1,2,4] => [1,3,5,6,2,4]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [6,5,3,1,2,4] => [1,3,6,5,2,4]
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [5,6,3,1,2,4] => [1,3,5,6,2,4]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [6,5,2,1,3,4] => [2,1,6,5,3,4]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [6,5,2,1,3,4] => [2,1,6,5,3,4]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [5,6,2,1,3,4] => [2,1,5,6,3,4]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [6,5,2,1,3,4] => [2,1,6,5,3,4]
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [5,6,2,1,3,4] => [2,1,5,6,3,4]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [6,5,1,2,3,4] => [1,2,3,6,5,4]
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [6,5,1,2,3,4] => [1,2,3,6,5,4]
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [5,6,1,2,3,4] => [1,2,3,5,6,4]
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [6,5,1,2,3,4] => [1,2,3,6,5,4]
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [5,6,1,2,3,4] => [1,2,3,5,6,4]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [6,4,3,2,1,5] => [4,6,3,2,1,5]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [6,4,3,2,1,5] => [4,6,3,2,1,5]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [6,3,4,2,1,5] => [3,4,6,2,1,5]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [6,3,4,2,1,5] => [3,4,6,2,1,5]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [6,4,2,3,1,5] => [2,4,6,3,1,5]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [6,4,2,3,1,5] => [2,4,6,3,1,5]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [6,3,2,4,1,5] => [3,2,6,4,1,5]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [6,3,2,4,1,5] => [3,2,6,4,1,5]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [6,2,3,4,1,5] => [2,3,4,6,1,5]
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [6,2,3,4,1,5] => [2,3,4,6,1,5]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [6,4,3,1,2,5] => [1,4,6,3,2,5]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [6,4,3,1,2,5] => [1,4,6,3,2,5]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [6,3,4,1,2,5] => [1,3,4,6,2,5]
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [6,3,4,1,2,5] => [1,3,4,6,2,5]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [6,4,2,1,3,5] => [2,4,6,1,3,5]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [6,4,2,1,3,5] => [2,4,6,1,3,5]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [6,4,1,2,3,5] => [1,2,4,6,3,5]
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [6,4,1,2,3,5] => [1,2,4,6,3,5]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [6,3,2,1,4,5] => [3,2,6,1,4,5]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [6,3,2,1,4,5] => [3,2,6,1,4,5]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [6,2,3,1,4,5] => [2,3,1,6,4,5]
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [6,2,3,1,4,5] => [2,3,1,6,4,5]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [6,3,1,2,4,5] => [1,3,2,6,4,5]
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [6,3,1,2,4,5] => [1,3,2,6,4,5]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [6,2,1,3,4,5] => [2,1,3,6,4,5]
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [6,2,1,3,4,5] => [2,1,3,6,4,5]
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [6,1,2,3,4,5] => [1,2,3,4,6,5]
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [6,1,2,3,4,5] => [1,2,3,4,6,5]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [5,4,3,2,1,6] => [5,4,3,2,1,6]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [4,5,3,2,1,6] => [4,5,3,2,1,6]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [5,3,4,2,1,6] => [3,5,4,2,1,6]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [4,3,5,2,1,6] => [4,3,5,2,1,6]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [3,4,5,2,1,6] => [3,4,5,2,1,6]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [5,4,2,3,1,6] => [2,5,4,3,1,6]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [4,5,2,3,1,6] => [2,4,5,3,1,6]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [5,3,2,4,1,6] => [3,5,2,4,1,6]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [5,2,3,4,1,6] => [2,3,5,4,1,6]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [4,3,2,5,1,6] => [4,3,2,5,1,6]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [3,4,2,5,1,6] => [3,4,2,5,1,6]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [4,2,3,5,1,6] => [2,4,3,5,1,6]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [3,2,4,5,1,6] => [3,2,4,5,1,6]
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [5,4,3,1,2,6] => [1,5,4,3,2,6]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [4,5,3,1,2,6] => [1,4,5,3,2,6]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [5,3,4,1,2,6] => [1,3,5,4,2,6]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [4,3,5,1,2,6] => [1,4,3,5,2,6]
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [3,4,5,1,2,6] => [1,3,4,5,2,6]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [5,4,2,1,3,6] => [2,5,4,1,3,6]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [4,5,2,1,3,6] => [2,4,5,1,3,6]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [5,4,1,2,3,6] => [1,2,5,4,3,6]
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [4,5,1,2,3,6] => [1,2,4,5,3,6]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [5,3,2,1,4,6] => [3,5,2,1,4,6]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [5,2,3,1,4,6] => [2,3,5,1,4,6]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [5,3,1,2,4,6] => [1,3,5,2,4,6]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [5,2,1,3,4,6] => [2,1,5,3,4,6]
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [5,1,2,3,4,6] => [1,2,3,5,4,6]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [4,3,2,1,5,6] => [4,3,2,1,5,6]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [3,4,2,1,5,6] => [3,4,2,1,5,6]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [4,2,3,1,5,6] => [2,4,3,1,5,6]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [3,2,4,1,5,6] => [3,2,4,1,5,6]
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [4,3,1,2,5,6] => [1,4,3,2,5,6]
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [3,4,1,2,5,6] => [1,3,4,2,5,6]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,2,1,3,5,6] => [2,4,1,3,5,6]
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [4,1,2,3,5,6] => [1,2,4,3,5,6]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [3,2,1,4,5,6] => [3,2,1,4,5,6]
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6]
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,1,2,4,5,6] => [1,3,2,4,5,6]
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6]
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1] => [6,5,4,3,2,1]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [5,6,4,3,2,1] => [5,6,4,3,2,1]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [6,4,5,3,2,1] => [4,6,5,3,2,1]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [5,4,6,3,2,1] => [5,4,6,3,2,1]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [4,5,6,3,2,1] => [4,5,6,3,2,1]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [6,5,3,4,2,1] => [3,6,5,4,2,1]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [5,6,3,4,2,1] => [3,5,6,4,2,1]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [6,4,3,5,2,1] => [4,6,3,5,2,1]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [6,3,4,5,2,1] => [3,4,6,5,2,1]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [5,4,3,6,2,1] => [5,4,3,6,2,1]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [4,5,3,6,2,1] => [4,5,3,6,2,1]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [5,3,4,6,2,1] => [3,5,4,6,2,1]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [4,3,5,6,2,1] => [4,3,5,6,2,1]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [3,4,5,6,2,1] => [3,4,5,6,2,1]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [6,5,4,2,3,1] => [2,6,5,4,3,1]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [5,6,4,2,3,1] => [2,5,6,4,3,1]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [6,4,5,2,3,1] => [2,4,6,5,3,1]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [5,4,6,2,3,1] => [2,5,4,6,3,1]
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [4,5,6,2,3,1] => [2,4,5,6,3,1]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [6,5,3,2,4,1] => [3,6,5,2,4,1]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [5,6,3,2,4,1] => [3,5,6,2,4,1]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [6,5,2,3,4,1] => [2,3,6,5,4,1]
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [5,6,2,3,4,1] => [2,3,5,6,4,1]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [6,4,3,2,5,1] => [4,6,3,2,5,1]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [6,3,4,2,5,1] => [3,4,6,2,5,1]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [6,4,2,3,5,1] => [2,4,6,3,5,1]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [6,3,2,4,5,1] => [3,2,6,4,5,1]
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [6,2,3,4,5,1] => [2,3,4,6,5,1]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [5,4,3,2,6,1] => [5,4,3,2,6,1]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [4,5,3,2,6,1] => [4,5,3,2,6,1]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [5,3,4,2,6,1] => [3,5,4,2,6,1]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [4,3,5,2,6,1] => [4,3,5,2,6,1]
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [3,4,5,2,6,1] => [3,4,5,2,6,1]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [5,4,2,3,6,1] => [2,5,4,3,6,1]
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [4,5,2,3,6,1] => [2,4,5,3,6,1]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [5,3,2,4,6,1] => [3,5,2,4,6,1]
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [5,2,3,4,6,1] => [2,3,5,4,6,1]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [4,3,2,5,6,1] => [4,3,2,5,6,1]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [3,4,2,5,6,1] => [3,4,2,5,6,1]
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [4,2,3,5,6,1] => [2,4,3,5,6,1]
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [3,2,4,5,6,1] => [3,2,4,5,6,1]
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1] => [2,3,4,5,6,1]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [6,5,4,3,1,2] => [1,6,5,4,3,2]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [5,6,4,3,1,2] => [1,5,6,4,3,2]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [6,4,5,3,1,2] => [1,4,6,5,3,2]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [5,4,6,3,1,2] => [1,5,4,6,3,2]
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [4,5,6,3,1,2] => [1,4,5,6,3,2]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [6,5,3,4,1,2] => [1,3,6,5,4,2]
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [5,6,3,4,1,2] => [1,3,5,6,4,2]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [6,4,3,5,1,2] => [1,4,6,3,5,2]
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [6,3,4,5,1,2] => [1,3,4,6,5,2]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [5,4,3,6,1,2] => [1,5,4,3,6,2]
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [4,5,3,6,1,2] => [1,4,5,3,6,2]
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [5,3,4,6,1,2] => [1,3,5,4,6,2]
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [4,3,5,6,1,2] => [1,4,3,5,6,2]
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [3,4,5,6,1,2] => [1,3,4,5,6,2]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [6,5,4,2,1,3] => [2,6,5,4,1,3]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [5,6,4,2,1,3] => [2,5,6,4,1,3]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [6,4,5,2,1,3] => [2,4,6,5,1,3]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [5,4,6,2,1,3] => [2,5,4,6,1,3]
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [4,5,6,2,1,3] => [2,4,5,6,1,3]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [6,5,4,1,2,3] => [1,2,6,5,4,3]
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [5,6,4,1,2,3] => [1,2,5,6,4,3]
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [6,4,5,1,2,3] => [1,2,4,6,5,3]
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [5,4,6,1,2,3] => [1,2,5,4,6,3]
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [4,5,6,1,2,3] => [1,2,4,5,6,3]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [6,5,3,2,1,4] => [3,6,5,2,1,4]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [5,6,3,2,1,4] => [3,5,6,2,1,4]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [6,5,2,3,1,4] => [2,3,6,5,1,4]
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [5,6,2,3,1,4] => [2,3,5,6,1,4]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [6,5,3,1,2,4] => [1,3,6,5,2,4]
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [5,6,3,1,2,4] => [1,3,5,6,2,4]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [6,5,2,1,3,4] => [2,1,6,5,3,4]
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [5,6,2,1,3,4] => [2,1,5,6,3,4]
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [6,5,1,2,3,4] => [1,2,3,6,5,4]
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [5,6,1,2,3,4] => [1,2,3,5,6,4]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [6,4,3,2,1,5] => [4,6,3,2,1,5]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [6,3,4,2,1,5] => [3,4,6,2,1,5]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [6,4,2,3,1,5] => [2,4,6,3,1,5]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [6,3,2,4,1,5] => [3,2,6,4,1,5]
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [6,2,3,4,1,5] => [2,3,4,6,1,5]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [6,4,3,1,2,5] => [1,4,6,3,2,5]
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [6,3,4,1,2,5] => [1,3,4,6,2,5]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [6,4,2,1,3,5] => [2,4,6,1,3,5]
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [6,4,1,2,3,5] => [1,2,4,6,3,5]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [6,3,2,1,4,5] => [3,2,6,1,4,5]
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [6,2,3,1,4,5] => [2,3,1,6,4,5]
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [6,3,1,2,4,5] => [1,3,2,6,4,5]
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [6,2,1,3,4,5] => [2,1,3,6,4,5]
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5] => [1,2,3,4,6,5]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6] => [5,4,3,2,1,6]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [4,5,3,2,1,6] => [4,5,3,2,1,6]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [5,3,4,2,1,6] => [3,5,4,2,1,6]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [4,3,5,2,1,6] => [4,3,5,2,1,6]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [3,4,5,2,1,6] => [3,4,5,2,1,6]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [5,4,2,3,1,6] => [2,5,4,3,1,6]
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [4,5,2,3,1,6] => [2,4,5,3,1,6]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [5,3,2,4,1,6] => [3,5,2,4,1,6]
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [5,2,3,4,1,6] => [2,3,5,4,1,6]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [4,3,2,5,1,6] => [4,3,2,5,1,6]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [3,4,2,5,1,6] => [3,4,2,5,1,6]
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [4,2,3,5,1,6] => [2,4,3,5,1,6]
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [3,2,4,5,1,6] => [3,2,4,5,1,6]
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6] => [2,3,4,5,1,6]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [5,4,3,1,2,6] => [1,5,4,3,2,6]
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [4,5,3,1,2,6] => [1,4,5,3,2,6]
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [5,3,4,1,2,6] => [1,3,5,4,2,6]
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [4,3,5,1,2,6] => [1,4,3,5,2,6]
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [3,4,5,1,2,6] => [1,3,4,5,2,6]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [5,4,2,1,3,6] => [2,5,4,1,3,6]
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [4,5,2,1,3,6] => [2,4,5,1,3,6]
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [5,4,1,2,3,6] => [1,2,5,4,3,6]
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [4,5,1,2,3,6] => [1,2,4,5,3,6]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [5,3,2,1,4,6] => [3,5,2,1,4,6]
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [5,2,3,1,4,6] => [2,3,5,1,4,6]
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [5,3,1,2,4,6] => [1,3,5,2,4,6]
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [5,2,1,3,4,6] => [2,1,5,3,4,6]
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6] => [1,2,3,5,4,6]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6] => [4,3,2,1,5,6]
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [3,4,2,1,5,6] => [3,4,2,1,5,6]
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [4,2,3,1,5,6] => [2,4,3,1,5,6]
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [3,2,4,1,5,6] => [3,2,4,1,5,6]
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6] => [2,3,4,1,5,6]
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [4,3,1,2,5,6] => [1,4,3,2,5,6]
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [3,4,1,2,5,6] => [1,3,4,2,5,6]
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [4,2,1,3,5,6] => [2,4,1,3,5,6]
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6] => [1,2,4,3,5,6]
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6] => [3,2,1,4,5,6]
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6] => [2,3,1,4,5,6]
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6] => [1,3,2,4,5,6]
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6] => [2,1,3,4,5,6]
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6] => [1,2,3,4,5,6]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [6,7,5,4,3,2,1] => [6,7,5,4,3,2,1]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [7,5,6,4,3,2,1] => [5,7,6,4,3,2,1]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [7,5,6,4,3,2,1] => [5,7,6,4,3,2,1]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [6,5,7,4,3,2,1] => [6,5,7,4,3,2,1]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [5,6,7,4,3,2,1] => [5,6,7,4,3,2,1]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [7,6,4,5,3,2,1] => [4,7,6,5,3,2,1]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [7,6,4,5,3,2,1] => [4,7,6,5,3,2,1]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [6,7,4,5,3,2,1] => [4,6,7,5,3,2,1]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [6,5,7,4,3,2,1] => [6,5,7,4,3,2,1]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [7,6,4,5,8,3,2,1] => [7,6,4,5,3,2,1] => [4,7,6,5,3,2,1]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [7,5,4,6,8,3,2,1] => [7,5,4,6,3,2,1] => [5,7,4,6,3,2,1]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [7,4,5,6,3,2,1] => [4,5,7,6,3,2,1]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [4,5,6,7,3,2,1] => [4,5,6,7,3,2,1]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [7,6,5,3,4,2,1] => [3,7,6,5,4,2,1]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [7,6,5,3,4,2,1] => [3,7,6,5,4,2,1]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [6,7,5,3,4,2,1] => [3,6,7,5,4,2,1]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [7,5,6,3,4,2,1] => [3,5,7,6,4,2,1]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [5,6,7,3,4,2,1] => [3,5,6,7,4,2,1]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [6,7,3,4,5,2,1] => [3,4,6,7,5,2,1]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [7,5,4,3,6,2,1] => [5,7,4,3,6,2,1]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [6,4,5,7,3,2,1] => [4,6,5,7,3,2,1]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [5,4,6,7,3,2,1] => [5,4,6,7,3,2,1]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [7,6,5,3,4,8,2,1] => [7,6,5,3,4,2,1] => [3,7,6,5,4,2,1]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [7,6,4,3,5,8,2,1] => [7,6,4,3,5,2,1] => [4,7,6,3,5,2,1]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [7,6,3,4,5,8,2,1] => [7,6,3,4,5,2,1] => [3,4,7,6,5,2,1]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [6,3,4,5,7,2,1] => [3,4,6,5,7,2,1]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [4,3,5,6,7,2,1] => [4,3,5,6,7,2,1]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [7,6,5,4,2,3,1] => [2,7,6,5,4,3,1]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [7,6,5,4,2,3,1] => [2,7,6,5,4,3,1]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [6,7,5,4,2,3,1] => [2,6,7,5,4,3,1]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [7,5,6,4,2,3,1] => [2,5,7,6,4,3,1]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [5,6,7,4,2,3,1] => [2,5,6,7,4,3,1]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [7,6,4,5,2,3,1] => [2,4,7,6,5,3,1]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [6,7,4,5,2,3,1] => [2,4,6,7,5,3,1]
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [4,5,6,7,2,3,1] => [2,4,5,6,7,3,1]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [7,6,5,3,2,4,1] => [3,7,6,5,2,4,1]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,7,3,2,4,1] => [3,6,5,7,2,4,1]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [5,6,7,3,2,4,1] => [3,5,6,7,2,4,1]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [7,6,5,2,3,4,1] => [2,3,7,6,5,4,1]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [6,7,5,2,3,4,1] => [2,3,6,7,5,4,1]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,6,7,2,3,4,1] => [2,3,5,6,7,4,1]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [5,6,7,2,3,4,1] => [2,3,5,6,7,4,1]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [7,3,2,4,5,6,1] => [3,2,4,7,5,6,1]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [6,7,5,4,3,2,1] => [6,7,5,4,3,2,1]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [6,5,7,4,3,2,1] => [6,5,7,4,3,2,1]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [6,4,5,7,3,2,8,1] => [6,4,5,7,3,2,1] => [4,6,5,7,3,2,1]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [6,5,4,3,7,2,1] => [6,5,4,3,7,2,1]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [5,4,6,3,7,2,1] => [5,4,6,3,7,2,1]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [6,5,3,4,7,2,1] => [3,6,5,4,7,2,1]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [7,6,5,4,2,3,1] => [2,7,6,5,4,3,1]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [6,7,4,5,2,3,1] => [2,4,6,7,5,3,1]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [6,4,5,7,2,3,1] => [2,4,6,5,7,3,1]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [4,5,6,7,2,3,1] => [2,4,5,6,7,3,1]
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [7,6,5,3,2,4,8,1] => [7,6,5,3,2,4,1] => [3,7,6,5,2,4,1]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [7,6,5,2,3,4,1] => [2,3,7,6,5,4,1]
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [6,7,2,3,4,5,1] => [2,3,4,6,7,5,1]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [5,4,3,2,6,7,1] => [5,4,3,2,6,7,1]
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [3,4,5,2,6,7,1] => [3,4,5,2,6,7,1]
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [5,2,3,4,6,7,1] => [2,3,5,4,6,7,1]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [4,3,2,5,6,7,1] => [4,3,2,5,6,7,1]
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [3,4,2,5,6,7,1] => [3,4,2,5,6,7,1]
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [4,2,3,5,6,7,1] => [2,4,3,5,6,7,1]
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [3,2,4,5,6,7,1] => [3,2,4,5,6,7,1]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,1] => [2,3,4,5,6,7,1]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [7,6,5,4,3,1,2] => [1,7,6,5,4,3,2]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [7,6,5,4,3,1,2] => [1,7,6,5,4,3,2]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [6,7,5,4,3,1,2] => [1,6,7,5,4,3,2]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [7,5,6,4,3,1,2] => [1,5,7,6,4,3,2]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [6,5,7,4,3,1,2] => [1,6,5,7,4,3,2]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [5,6,7,4,3,1,2] => [1,5,6,7,4,3,2]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [7,6,4,5,3,1,2] => [1,4,7,6,5,3,2]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [7,6,4,5,3,1,2] => [1,4,7,6,5,3,2]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [4,5,6,7,3,1,2] => [1,4,5,6,7,3,2]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [7,6,5,3,4,1,2] => [1,3,7,6,5,4,2]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [7,5,6,3,4,1,2] => [1,3,5,7,6,4,2]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,6,3,4,1,2] => [1,3,5,7,6,4,2]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [7,6,5,3,4,1,2] => [1,3,7,6,5,4,2]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [6,7,5,3,4,1,2] => [1,3,6,7,5,4,2]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [7,5,6,3,4,1,2] => [1,3,5,7,6,4,2]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [6,5,7,3,4,1,2] => [1,3,6,5,7,4,2]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [5,6,7,3,4,1,2] => [1,3,5,6,7,4,2]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [7,5,4,3,6,1,2] => [1,5,7,4,3,6,2]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [7,4,5,3,6,1,2] => [1,4,5,7,3,6,2]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [7,5,3,4,6,1,2] => [1,3,5,7,4,6,2]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [7,4,3,5,6,1,2] => [1,4,3,7,5,6,2]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [7,3,4,5,6,1,2] => [1,3,4,5,7,6,2]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [4,3,5,6,7,1,2] => [1,4,3,5,6,7,2]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [3,4,5,6,7,1,2] => [1,3,4,5,6,7,2]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [7,6,5,4,3,1,2] => [1,7,6,5,4,3,2]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [6,5,7,4,3,1,2] => [1,6,5,7,4,3,2]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [5,6,7,4,3,8,1,2] => [5,6,7,4,3,1,2] => [1,5,6,7,4,3,2]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [6,7,4,5,3,1,2] => [1,4,6,7,5,3,2]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [5,6,4,7,3,1,2] => [1,5,6,4,7,3,2]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [5,4,6,7,3,8,1,2] => [5,4,6,7,3,1,2] => [1,5,4,6,7,3,2]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [5,4,6,3,7,1,2] => [1,5,4,6,3,7,2]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [5,6,3,4,7,1,2] => [1,3,5,6,4,7,2]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [6,4,3,5,7,1,2] => [1,4,6,3,5,7,2]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [6,3,4,5,7,1,2] => [1,3,4,6,5,7,2]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [5,4,3,6,7,1,2] => [1,5,4,3,6,7,2]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [4,5,3,6,7,1,2] => [1,4,5,3,6,7,2]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [4,3,5,6,7,1,2] => [1,4,3,5,6,7,2]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [3,4,5,6,7,1,2] => [1,3,4,5,6,7,2]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,5,4,2,1,3] => [2,7,6,5,4,1,3]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,5,4,2,1,3] => [2,7,6,5,4,1,3]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [5,6,7,4,2,1,3] => [2,5,6,7,4,1,3]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [4,5,6,7,2,1,3] => [2,4,5,6,7,1,3]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [7,6,5,4,1,2,3] => [1,2,7,6,5,4,3]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,7,5,4,1,2,3] => [1,2,6,7,5,4,3]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [5,6,7,4,1,2,3] => [1,2,5,6,7,4,3]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,1,2,3] => [6,5,7,4,1,2,3] => [1,2,6,5,7,4,3]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [5,6,7,4,1,2,3] => [1,2,5,6,7,4,3]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => [7,6,4,5,1,2,3] => [1,2,4,7,6,5,3]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [6,7,4,5,1,2,3] => [1,2,4,6,7,5,3]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [7,4,5,6,1,2,3] => [1,2,4,5,7,6,3]
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [7,4,5,6,1,2,3] => [1,2,4,5,7,6,3]
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [6,7,4,5,1,2,3] => [1,2,4,6,7,5,3]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [6,5,4,7,1,2,3] => [1,2,6,5,4,7,3]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [4,5,6,7,1,2,3] => [1,2,4,5,6,7,3]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [7,6,5,3,2,1,4] => [3,7,6,5,2,1,4]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [7,5,6,3,2,1,4] => [3,5,7,6,2,1,4]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,4] => [3,7,6,5,2,1,4]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [5,6,7,3,2,1,4] => [3,5,6,7,2,1,4]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [7,6,5,2,3,1,4] => [2,3,7,6,5,1,4]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [7,5,6,2,3,1,4] => [2,3,5,7,6,1,4]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [6,7,5,2,3,1,4] => [2,3,6,7,5,1,4]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [7,5,6,2,3,1,4] => [2,3,5,7,6,1,4]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [5,6,7,2,3,1,4] => [2,3,5,6,7,1,4]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [7,6,5,3,1,2,4] => [1,3,7,6,5,2,4]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [7,5,6,3,1,2,4] => [1,3,5,7,6,2,4]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,7,5,3,1,2,4] => [1,3,6,7,5,2,4]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [7,5,6,3,1,2,4] => [1,3,5,7,6,2,4]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [5,6,7,3,1,2,4] => [1,3,5,6,7,2,4]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [7,6,5,2,1,3,4] => [2,1,7,6,5,3,4]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [7,6,5,2,1,3,4] => [2,1,7,6,5,3,4]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [6,7,5,2,1,3,4] => [2,1,6,7,5,3,4]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [7,5,6,2,1,3,4] => [2,1,5,7,6,3,4]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,7,2,1,3,4] => [2,1,6,5,7,3,4]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [5,6,7,2,1,3,4] => [2,1,5,6,7,3,4]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [7,6,5,1,2,3,4] => [1,2,3,7,6,5,4]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [7,6,5,1,2,3,4] => [1,2,3,7,6,5,4]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [6,7,5,1,2,3,4] => [1,2,3,6,7,5,4]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [7,6,5,1,2,3,4] => [1,2,3,7,6,5,4]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [6,7,5,1,2,3,4] => [1,2,3,6,7,5,4]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [7,5,6,1,2,3,4] => [1,2,3,5,7,6,4]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [7,5,6,1,2,3,4] => [1,2,3,5,7,6,4]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [6,5,7,1,2,3,4] => [1,2,3,6,5,7,4]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [5,6,7,1,2,3,4] => [1,2,3,5,6,7,4]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [7,6,5,1,2,3,4] => [1,2,3,7,6,5,4]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [6,7,5,1,2,3,4] => [1,2,3,6,7,5,4]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [7,5,6,1,2,3,4] => [1,2,3,5,7,6,4]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [6,5,7,1,2,3,4] => [1,2,3,6,5,7,4]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,6,7,1,2,3,4] => [1,2,3,5,6,7,4]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,4,3,2,1,5] => [4,7,6,3,2,1,5]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [6,7,4,3,2,1,5] => [4,6,7,3,2,1,5]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [7,6,3,4,2,1,5] => [3,4,7,6,2,1,5]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [6,7,8,3,4,2,1,5] => [6,7,3,4,2,1,5] => [3,4,6,7,2,1,5]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [7,6,4,2,3,1,5] => [2,4,7,6,3,1,5]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [6,7,4,2,3,1,5] => [2,4,6,7,3,1,5]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [7,6,3,2,4,1,5] => [3,2,7,6,4,1,5]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [6,7,8,3,2,4,1,5] => [6,7,3,2,4,1,5] => [3,2,6,7,4,1,5]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [7,6,2,3,4,1,5] => [2,3,4,7,6,1,5]
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [6,7,8,2,3,4,1,5] => [6,7,2,3,4,1,5] => [2,3,4,6,7,1,5]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [7,6,4,3,1,2,5] => [1,4,7,6,3,2,5]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [6,7,4,3,1,2,5] => [1,4,6,7,3,2,5]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [7,6,3,4,1,2,5] => [1,3,4,7,6,2,5]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [6,7,3,4,1,2,5] => [1,3,4,6,7,2,5]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [7,6,4,2,1,3,5] => [2,4,7,6,1,3,5]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [6,7,8,4,2,1,3,5] => [6,7,4,2,1,3,5] => [2,4,6,7,1,3,5]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [7,6,4,1,2,3,5] => [1,2,4,7,6,3,5]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [6,7,4,1,2,3,5] => [1,2,4,6,7,3,5]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [7,6,3,2,1,4,5] => [3,2,7,6,1,4,5]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [6,7,3,2,1,4,5] => [3,2,6,7,1,4,5]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [7,6,2,3,1,4,5] => [2,3,1,7,6,4,5]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [6,7,2,3,1,4,5] => [2,3,1,6,7,4,5]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [7,6,3,1,2,4,5] => [1,3,2,7,6,4,5]
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [6,7,8,3,1,2,4,5] => [6,7,3,1,2,4,5] => [1,3,2,6,7,4,5]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [7,6,2,1,3,4,5] => [2,1,3,7,6,4,5]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [6,7,2,1,3,4,5] => [2,1,3,6,7,4,5]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [7,6,1,2,3,4,5] => [1,2,3,4,7,6,5]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [7,6,1,2,3,4,5] => [1,2,3,4,7,6,5]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [6,7,1,2,3,4,5] => [1,2,3,4,6,7,5]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [7,6,1,2,3,4,5] => [1,2,3,4,7,6,5]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [6,7,1,2,3,4,5] => [1,2,3,4,6,7,5]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [7,5,4,3,2,1,6] => [5,7,4,3,2,1,6]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [7,8,4,5,2,3,1,6] => [7,4,5,2,3,1,6] => [2,4,5,7,3,1,6]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [7,3,4,2,5,1,6] => [3,4,2,7,5,1,6]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [7,5,4,2,1,3,6] => [2,5,7,4,1,3,6]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [7,5,4,1,2,3,6] => [1,2,5,7,4,3,6]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [7,4,5,1,2,3,6] => [1,2,4,5,7,3,6]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [7,5,2,1,3,4,6] => [2,1,5,7,3,4,6]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [7,5,2,1,3,4,6] => [2,1,5,7,3,4,6]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [7,5,1,2,3,4,6] => [1,2,3,5,7,4,6]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [7,5,1,2,3,4,6] => [1,2,3,5,7,4,6]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [7,4,3,2,1,5,6] => [4,3,7,2,1,5,6]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [7,4,3,2,1,5,6] => [4,3,7,2,1,5,6]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [7,3,2,4,1,5,6] => [3,2,4,7,1,5,6]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [7,2,3,4,1,5,6] => [2,3,4,1,7,5,6]
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [7,3,4,1,2,5,6] => [1,3,4,2,7,5,6]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [7,4,2,1,3,5,6] => [2,4,1,7,3,5,6]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [7,4,1,2,3,5,6] => [1,2,4,3,7,5,6]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [7,3,2,1,4,5,6] => [3,2,1,7,4,5,6]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [7,3,2,1,4,5,6] => [3,2,1,7,4,5,6]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [7,2,1,3,4,5,6] => [2,1,3,4,7,5,6]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => [1,2,3,4,5,7,6]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => [1,2,3,4,5,7,6]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [4,5,6,3,2,1,7] => [4,5,6,3,2,1,7]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [6,5,4,3,1,2,7] => [1,6,5,4,3,2,7]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [5,6,3,4,1,2,7] => [1,3,5,6,4,2,7]
[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [4,3,5,6,1,2,7] => [1,4,3,5,6,2,7]
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [3,4,5,6,1,2,7] => [1,3,4,5,6,2,7]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,4,2,1,3,7] => [2,6,5,4,1,3,7]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [6,4,5,1,2,3,7] => [1,2,4,6,5,3,7]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [6,5,2,3,1,4,7] => [2,3,6,5,1,4,7]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [5,6,2,3,1,4,7] => [2,3,5,6,1,4,7]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,6,2,1,3,4,7] => [2,1,5,6,3,4,7]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [6,5,1,2,3,4,7] => [1,2,3,6,5,4,7]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [5,6,1,2,3,4,7] => [1,2,3,5,6,4,7]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,4,3,2,1,5,7] => [4,6,3,2,1,5,7]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [6,3,4,2,1,5,7] => [3,4,6,2,1,5,7]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [6,4,2,1,3,5,7] => [2,4,6,1,3,5,7]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6,7]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => [1,2,4,3,5,6,7]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6,7]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => [1,3,2,4,5,6,7]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [6,7,5,4,3,2,1] => [6,7,5,4,3,2,1]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [6,5,7,4,3,2,1] => [6,5,7,4,3,2,1]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [5,6,7,4,3,2,1] => [5,6,7,4,3,2,1]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [7,6,4,5,3,2,1] => [4,7,6,5,3,2,1]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [7,4,5,6,3,2,1,8] => [7,4,5,6,3,2,1] => [4,5,7,6,3,2,1]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [6,5,4,7,3,2,1] => [6,5,4,7,3,2,1]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [7,5,6,3,4,2,1] => [3,5,7,6,4,2,1]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [5,6,7,3,4,2,1] => [3,5,6,7,4,2,1]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [7,6,4,3,5,2,1] => [4,7,6,3,5,2,1]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [7,6,3,4,5,2,1] => [3,4,7,6,5,2,1]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [7,5,4,3,6,2,1] => [5,7,4,3,6,2,1]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [6,7,5,4,2,3,1] => [2,6,7,5,4,3,1]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [5,6,7,4,2,3,1] => [2,5,6,7,4,3,1]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [7,6,4,5,2,3,1] => [2,4,7,6,5,3,1]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [6,7,4,5,2,3,1] => [2,4,6,7,5,3,1]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [7,4,5,6,2,3,1,8] => [7,4,5,6,2,3,1] => [2,4,5,7,6,3,1]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [5,6,4,7,2,3,1] => [2,5,6,4,7,3,1]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [6,5,7,3,2,4,1] => [3,6,5,7,2,4,1]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [5,6,7,3,2,4,1] => [3,5,6,7,2,4,1]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [7,6,5,2,3,4,1] => [2,3,7,6,5,4,1]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [6,7,5,2,3,4,1] => [2,3,6,7,5,4,1]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [7,5,6,2,3,4,1] => [2,3,5,7,6,4,1]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [6,5,7,2,3,4,1] => [2,3,6,5,7,4,1]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [5,6,7,2,3,4,1] => [2,3,5,6,7,4,1]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [6,7,3,4,2,5,1,8] => [6,7,3,4,2,5,1] => [3,4,6,7,2,5,1]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [7,4,5,2,3,6,1,8] => [7,4,5,2,3,6,1] => [2,4,5,7,3,6,1]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [5,6,3,4,2,7,1] => [3,5,6,4,2,7,1]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [4,5,3,6,2,7,1] => [4,5,3,6,2,7,1]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [5,4,3,2,6,7,1] => [5,4,3,2,6,7,1]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [3,2,4,5,6,7,1] => [3,2,4,5,6,7,1]
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [2,3,4,5,6,7,1] => [2,3,4,5,6,7,1]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [7,6,5,4,3,1,2] => [1,7,6,5,4,3,2]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [7,5,6,4,3,1,2] => [1,5,7,6,4,3,2]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [7,4,5,6,3,1,2,8] => [7,4,5,6,3,1,2] => [1,4,5,7,6,3,2]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [7,6,5,4,2,1,3] => [2,7,6,5,4,1,3]
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,2,1,3,8] => [6,5,7,4,2,1,3] => [2,6,5,7,4,1,3]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [7,5,4,6,2,1,3] => [2,5,7,4,6,1,3]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [7,4,5,6,2,1,3,8] => [7,4,5,6,2,1,3] => [2,4,5,7,6,1,3]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [7,6,5,4,1,2,3] => [1,2,7,6,5,4,3]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [5,6,7,4,1,2,3] => [1,2,5,6,7,4,3]
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [7,4,5,6,1,2,3] => [1,2,4,5,7,6,3]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [5,6,4,7,1,2,3] => [1,2,5,6,4,7,3]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [5,4,6,7,1,2,3] => [1,2,5,4,6,7,3]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [5,6,7,3,1,2,4] => [1,3,5,6,7,2,4]
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [5,6,7,2,1,3,4] => [2,1,5,6,7,3,4]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [7,6,5,1,2,3,4] => [1,2,3,7,6,5,4]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [6,7,5,1,2,3,4] => [1,2,3,6,7,5,4]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [7,5,6,1,2,3,4] => [1,2,3,5,7,6,4]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [6,5,7,1,2,3,4] => [1,2,3,6,5,7,4]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [5,6,7,1,2,3,4] => [1,2,3,5,6,7,4]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [7,6,4,3,2,1,5,8] => [7,6,4,3,2,1,5] => [4,7,6,3,2,1,5]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [7,6,4,3,1,2,5] => [1,4,7,6,3,2,5]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [6,7,1,2,3,4,5] => [1,2,3,4,6,7,5]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [7,5,3,1,2,4,6] => [1,3,5,7,2,4,6]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [7,5,1,2,3,4,6] => [1,2,3,5,7,4,6]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [7,4,3,2,1,5,6] => [4,3,7,2,1,5,6]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [7,3,1,2,4,5,6] => [1,3,2,4,7,5,6]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [7,2,1,3,4,5,6] => [2,1,3,4,7,5,6]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,6] => [1,2,3,4,5,7,6]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [5,4,3,2,6,1,7] => [5,4,3,2,6,1,7]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [4,5,3,2,6,1,7] => [4,5,3,2,6,1,7]
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [4,2,3,5,6,1,7,8] => [4,2,3,5,6,1,7] => [2,4,3,5,6,1,7]
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1,7]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [5,6,4,3,1,2,7] => [1,5,6,4,3,2,7]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [5,4,6,3,1,2,7] => [1,5,4,6,3,2,7]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [5,6,3,4,1,2,7] => [1,3,5,6,4,2,7]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [5,4,3,6,1,2,7] => [1,5,4,3,6,2,7]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [5,6,4,2,1,3,7] => [2,5,6,4,1,3,7]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [5,4,6,2,1,3,7,8] => [5,4,6,2,1,3,7] => [2,5,4,6,1,3,7]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [4,5,6,1,2,3,7] => [1,2,4,5,6,3,7]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [5,6,3,2,1,4,7] => [3,5,6,2,1,4,7]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [6,4,3,2,1,5,7] => [4,6,3,2,1,5,7]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [6,4,3,1,2,5,7] => [1,4,6,3,2,5,7]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [6,4,1,2,3,5,7] => [1,2,4,6,3,5,7]
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [6,2,3,1,4,5,7,8] => [6,2,3,1,4,5,7] => [2,3,1,6,4,5,7]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [6,1,2,3,4,5,7] => [1,2,3,4,6,5,7]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [4,5,2,3,1,6,7] => [2,4,5,3,1,6,7]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [5,2,3,4,1,6,7] => [2,3,5,4,1,6,7]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6,7]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [5,3,1,2,4,6,7] => [1,3,5,2,4,6,7]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [5,1,2,3,4,6,7] => [1,2,3,5,4,6,7]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [3,2,4,1,5,6,7] => [3,2,4,1,5,6,7]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6,7]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [3,4,1,2,5,6,7] => [1,3,4,2,5,6,7]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [4,1,2,3,5,6,7] => [1,2,4,3,5,6,7]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [3,1,2,4,5,6,7] => [1,3,2,4,5,6,7]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [7,8,6,5,4,3,2,1] => [7,8,6,5,4,3,2,1]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,8,1]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [6,7,8,9,5,4,3,2,1] => [6,7,8,9,5,4,3,2,1]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,1,2] => [3,4,5,6,7,8,1,2] => [1,3,4,5,6,7,8,2]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,9,1]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [8,6,7,9,5,4,3,2,1] => [8,6,7,5,4,3,2,1] => [6,8,7,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1]
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [8,7,5,6,9,4,3,2,1] => [8,7,5,6,4,3,2,1] => [5,8,7,6,4,3,2,1]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1]
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [8,7,6,4,5,9,3,2,1] => [8,7,6,4,5,3,2,1] => [4,8,7,6,5,3,2,1]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1]
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [8,7,6,5,3,4,9,2,1] => [8,7,6,5,3,4,2,1] => [3,8,7,6,5,4,2,1]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1]
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [8,7,6,5,4,2,3,9,1] => [8,7,6,5,4,2,3,1] => [2,8,7,6,5,4,3,1]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [8,7,6,5,4,3,1,2] => [1,8,7,6,5,4,3,2]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => [9,7,8,5,6,3,4,1,2] => [1,3,5,7,9,8,6,4,2]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [3,2,4,5,6,7,8,1] => [3,2,4,5,6,7,8,1]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [9,2,3,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [4,2,3,5,6,7,8,9,1] => [4,2,3,5,6,7,8,1] => [2,4,3,5,6,7,8,1]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [3,4,2,5,6,7,8,1] => [3,4,2,5,6,7,8,1]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [3,2,4,5,6,7,8,9,1] => [3,2,4,5,6,7,8,9,1]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [2,3,4,5,6,7,8,9,10,1] => [2,3,4,5,6,7,8,9,10,1]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,8,7]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [7,8,9,1,2,3,4,5,6] => [7,8,1,2,3,4,5,6] => [1,2,3,4,5,7,8,6]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [6,7,8,9,1,2,3,4,5] => [6,7,8,1,2,3,4,5] => [1,2,3,4,6,7,8,5]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,8,7]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,9,8]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [8,9,10,1,2,3,4,5,6,7] => [8,9,1,2,3,4,5,6,7] => [1,2,3,4,5,6,8,9,7]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [7,8,9,10,1,2,3,4,5,6] => [7,8,9,1,2,3,4,5,6] => [1,2,3,4,5,7,8,9,6]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,1,2,3,4,5] => [6,7,8,9,1,2,3,4,5] => [1,2,3,4,6,7,8,9,5]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,10,1,2] => [3,4,5,6,7,8,9,1,2] => [1,3,4,5,6,7,8,9,2]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [8,7,6,5,4,3,1,2] => [1,8,7,6,5,4,3,2]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [7,8,6,5,4,3,2,1] => [7,8,6,5,4,3,2,1]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [9,8,7,6,5,4,3,1,2] => [1,9,8,7,6,5,4,3,2]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [10,9,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,2,1]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [8,9,7,6,5,4,3,2,1] => [8,9,7,6,5,4,3,2,1]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [7,6,8,5,4,3,2,1] => [7,6,8,5,4,3,2,1]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => [8,7,6,5,4,1,2,3] => [1,2,8,7,6,5,4,3]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7,8]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7,8]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1,9]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8,9]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,7,8,9]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,8,1]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [2,3,4,5,6,7,1,8] => [2,3,4,5,6,7,1,8]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,9,1]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [7,1,2,3,4,5,6,8] => [1,2,3,4,5,7,6,8]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,8,7]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,9,8]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => [9,8,7,6,5,4,1,2,3] => [1,2,9,8,7,6,5,4,3]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,9,8]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => [8,7,1,2,3,4,5,6] => [1,2,3,4,5,8,7,6]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => [8,7,6,1,2,3,4,5] => [1,2,3,4,8,7,6,5]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => [8,7,6,5,1,2,3,4] => [1,2,3,8,7,6,5,4]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => [9,8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,9,8,7]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => [9,8,7,1,2,3,4,5,6] => [1,2,3,4,5,9,8,7,6]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => [9,8,7,6,1,2,3,4,5] => [1,2,3,4,9,8,7,6,5]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => [9,8,7,6,5,1,2,3,4] => [1,2,3,9,8,7,6,5,4]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [3,4,1,2,5,6,7,8,9] => [3,4,1,2,5,6,7,8] => [1,3,4,2,5,6,7,8]
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
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
This map is undefined for the empty permutation.
Map
Foata bijection
Description
Sends a permutation to its image under the Foata bijection.
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
- If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
- If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
- $1$
- $|1|4 \to 14$
- $|14|2 \to 412$
- $|4|1|2|5 \to 4125$
- $|4|125|3 \to 45123.$
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
searching the database
Sorry, this map was not found in the database.