Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00087: Permutations —inverse first fundamental transformation⟶ Permutations
Mp00127: Permutations —left-to-right-maxima to Dyck path⟶ Dyck paths
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00087: Permutations —inverse first fundamental transformation⟶ Permutations
Mp00127: Permutations —left-to-right-maxima to Dyck path⟶ Dyck paths
Images
[.,.] => [1] => [1] => [1] => [1,0]
[.,[.,.]] => [2,1] => [2,1] => [2,1] => [1,1,0,0]
[[.,.],.] => [1,2] => [1,2] => [1,2] => [1,0,1,0]
[.,[.,[.,.]]] => [3,2,1] => [2,3,1] => [3,1,2] => [1,1,1,0,0,0]
[.,[[.,.],.]] => [2,3,1] => [3,2,1] => [2,3,1] => [1,1,0,1,0,0]
[[.,.],[.,.]] => [1,3,2] => [1,3,2] => [1,3,2] => [1,0,1,1,0,0]
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => [2,1,3] => [1,1,0,0,1,0]
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [1,2,3] => [1,0,1,0,1,0]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [2,3,4,1] => [4,1,2,3] => [1,1,1,1,0,0,0,0]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [2,4,3,1] => [3,4,1,2] => [1,1,1,0,1,0,0,0]
[.,[[.,.],[.,.]]] => [2,4,3,1] => [3,2,4,1] => [2,4,1,3] => [1,1,0,1,1,0,0,0]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,3,2,1] => [3,2,4,1] => [1,1,1,0,0,1,0,0]
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,2,3,1] => [2,3,4,1] => [1,1,0,1,0,1,0,0]
[[.,.],[.,[.,.]]] => [1,4,3,2] => [1,3,4,2] => [1,4,2,3] => [1,0,1,1,1,0,0,0]
[[.,.],[[.,.],.]] => [1,3,4,2] => [1,4,3,2] => [1,3,4,2] => [1,0,1,1,0,1,0,0]
[[.,[.,.]],[.,.]] => [2,1,4,3] => [2,1,4,3] => [2,1,4,3] => [1,1,0,0,1,1,0,0]
[[[.,.],.],[.,.]] => [1,2,4,3] => [1,2,4,3] => [1,2,4,3] => [1,0,1,0,1,1,0,0]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [2,3,1,4] => [3,1,2,4] => [1,1,1,0,0,0,1,0]
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,2,1,4] => [2,3,1,4] => [1,1,0,1,0,0,1,0]
[[[.,.],[.,.]],.] => [1,3,2,4] => [1,3,2,4] => [1,3,2,4] => [1,0,1,1,0,0,1,0]
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [1,1,0,0,1,0,1,0]
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [2,3,4,5,1] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [2,3,5,4,1] => [4,5,1,2,3] => [1,1,1,1,0,1,0,0,0,0]
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [2,4,3,5,1] => [3,5,1,2,4] => [1,1,1,0,1,1,0,0,0,0]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [2,5,4,3,1] => [4,3,5,1,2] => [1,1,1,1,0,0,1,0,0,0]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [2,5,3,4,1] => [3,4,5,1,2] => [1,1,1,0,1,0,1,0,0,0]
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [3,2,4,5,1] => [2,5,1,3,4] => [1,1,0,1,1,1,0,0,0,0]
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [3,2,5,4,1] => [2,4,5,1,3] => [1,1,0,1,1,0,1,0,0,0]
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [4,3,2,5,1] => [3,2,5,1,4] => [1,1,1,0,0,1,1,0,0,0]
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [4,2,3,5,1] => [2,3,5,1,4] => [1,1,0,1,0,1,1,0,0,0]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [5,3,4,2,1] => [4,2,3,5,1] => [1,1,1,1,0,0,0,1,0,0]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [5,4,3,2,1] => [3,4,2,5,1] => [1,1,1,0,1,0,0,1,0,0]
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [5,2,4,3,1] => [2,4,3,5,1] => [1,1,0,1,1,0,0,1,0,0]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [5,3,2,4,1] => [3,2,4,5,1] => [1,1,1,0,0,1,0,1,0,0]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [5,2,3,4,1] => [2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0]
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [1,3,4,5,2] => [1,5,2,3,4] => [1,0,1,1,1,1,0,0,0,0]
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [1,3,5,4,2] => [1,4,5,2,3] => [1,0,1,1,1,0,1,0,0,0]
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [1,4,3,5,2] => [1,3,5,2,4] => [1,0,1,1,0,1,1,0,0,0]
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [1,5,4,3,2] => [1,4,3,5,2] => [1,0,1,1,1,0,0,1,0,0]
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [1,5,3,4,2] => [1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,0]
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [2,1,4,5,3] => [2,1,5,3,4] => [1,1,0,0,1,1,1,0,0,0]
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [2,1,5,4,3] => [2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0]
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [1,2,4,5,3] => [1,2,5,3,4] => [1,0,1,0,1,1,1,0,0,0]
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [1,2,5,4,3] => [1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,0]
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [2,3,1,5,4] => [3,1,2,5,4] => [1,1,1,0,0,0,1,1,0,0]
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [3,2,1,5,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0]
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,0,1,1,0,0,1,1,0,0]
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [2,1,3,5,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0]
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,0]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [2,3,4,1,5] => [4,1,2,3,5] => [1,1,1,1,0,0,0,0,1,0]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [2,4,3,1,5] => [3,4,1,2,5] => [1,1,1,0,1,0,0,0,1,0]
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [3,2,4,1,5] => [2,4,1,3,5] => [1,1,0,1,1,0,0,0,1,0]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [4,3,2,1,5] => [3,2,4,1,5] => [1,1,1,0,0,1,0,0,1,0]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,2,3,1,5] => [2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0]
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [1,3,4,2,5] => [1,4,2,3,5] => [1,0,1,1,1,0,0,0,1,0]
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [1,4,3,2,5] => [1,3,4,2,5] => [1,0,1,1,0,1,0,0,1,0]
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [2,1,4,3,5] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0]
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,0,1,0,1,1,0,0,1,0]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [2,3,1,4,5] => [3,1,2,4,5] => [1,1,1,0,0,0,1,0,1,0]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,2,1,4,5] => [2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0]
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,0,1,1,0,0,1,0,1,0]
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0]
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [2,3,4,5,6,1] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [2,3,4,6,5,1] => [5,6,1,2,3,4] => [1,1,1,1,1,0,1,0,0,0,0,0]
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [2,3,5,4,6,1] => [4,6,1,2,3,5] => [1,1,1,1,0,1,1,0,0,0,0,0]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [2,3,6,5,4,1] => [5,4,6,1,2,3] => [1,1,1,1,1,0,0,1,0,0,0,0]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [2,3,6,4,5,1] => [4,5,6,1,2,3] => [1,1,1,1,0,1,0,1,0,0,0,0]
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [2,4,3,5,6,1] => [3,6,1,2,4,5] => [1,1,1,0,1,1,1,0,0,0,0,0]
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [2,4,3,6,5,1] => [3,5,6,1,2,4] => [1,1,1,0,1,1,0,1,0,0,0,0]
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [2,5,4,3,6,1] => [4,3,6,1,2,5] => [1,1,1,1,0,0,1,1,0,0,0,0]
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [2,5,3,4,6,1] => [3,4,6,1,2,5] => [1,1,1,0,1,0,1,1,0,0,0,0]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [2,6,4,5,3,1] => [5,3,4,6,1,2] => [1,1,1,1,1,0,0,0,1,0,0,0]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [2,6,5,4,3,1] => [4,5,3,6,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0]
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [2,6,3,5,4,1] => [3,5,4,6,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [2,6,4,3,5,1] => [4,3,5,6,1,2] => [1,1,1,1,0,0,1,0,1,0,0,0]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [2,6,3,4,5,1] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [3,2,4,5,6,1] => [2,6,1,3,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0]
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [3,2,4,6,5,1] => [2,5,6,1,3,4] => [1,1,0,1,1,1,0,1,0,0,0,0]
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [3,2,5,4,6,1] => [2,4,6,1,3,5] => [1,1,0,1,1,0,1,1,0,0,0,0]
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [3,2,6,5,4,1] => [2,5,4,6,1,3] => [1,1,0,1,1,1,0,0,1,0,0,0]
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [3,2,6,4,5,1] => [2,4,5,6,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [4,3,2,5,6,1] => [3,2,6,1,4,5] => [1,1,1,0,0,1,1,1,0,0,0,0]
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [4,3,2,6,5,1] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0]
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [4,2,3,5,6,1] => [2,3,6,1,4,5] => [1,1,0,1,0,1,1,1,0,0,0,0]
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [4,2,3,6,5,1] => [2,3,5,6,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [5,3,4,2,6,1] => [4,2,3,6,1,5] => [1,1,1,1,0,0,0,1,1,0,0,0]
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [5,4,3,2,6,1] => [3,4,2,6,1,5] => [1,1,1,0,1,0,0,1,1,0,0,0]
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [5,2,4,3,6,1] => [2,4,3,6,1,5] => [1,1,0,1,1,0,0,1,1,0,0,0]
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [5,3,2,4,6,1] => [3,2,4,6,1,5] => [1,1,1,0,0,1,0,1,1,0,0,0]
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [5,2,3,4,6,1] => [2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [6,3,4,5,2,1] => [5,2,3,4,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [6,3,5,4,2,1] => [4,5,2,3,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [6,4,3,5,2,1] => [3,5,2,4,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [6,5,4,3,2,1] => [4,3,5,2,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [6,5,3,4,2,1] => [3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [6,2,4,5,3,1] => [2,5,3,4,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [6,2,5,4,3,1] => [2,4,5,3,6,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [6,3,2,5,4,1] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [6,2,3,5,4,1] => [2,3,5,4,6,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
>>> Load all 1918 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [6,3,4,2,5,1] => [4,2,3,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [6,4,3,2,5,1] => [3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [6,2,4,3,5,1] => [2,4,3,5,6,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [6,3,2,4,5,1] => [3,2,4,5,6,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [6,2,3,4,5,1] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [1,3,4,5,6,2] => [1,6,2,3,4,5] => [1,0,1,1,1,1,1,0,0,0,0,0]
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [1,3,4,6,5,2] => [1,5,6,2,3,4] => [1,0,1,1,1,1,0,1,0,0,0,0]
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [1,3,5,4,6,2] => [1,4,6,2,3,5] => [1,0,1,1,1,0,1,1,0,0,0,0]
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [1,3,6,5,4,2] => [1,5,4,6,2,3] => [1,0,1,1,1,1,0,0,1,0,0,0]
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [1,3,6,4,5,2] => [1,4,5,6,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [1,4,3,5,6,2] => [1,3,6,2,4,5] => [1,0,1,1,0,1,1,1,0,0,0,0]
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [1,4,3,6,5,2] => [1,3,5,6,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [1,5,4,3,6,2] => [1,4,3,6,2,5] => [1,0,1,1,1,0,0,1,1,0,0,0]
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [1,5,3,4,6,2] => [1,3,4,6,2,5] => [1,0,1,1,0,1,0,1,1,0,0,0]
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [1,6,4,5,3,2] => [1,5,3,4,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [1,6,5,4,3,2] => [1,4,5,3,6,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [1,6,3,5,4,2] => [1,3,5,4,6,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [1,6,4,3,5,2] => [1,4,3,5,6,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [1,6,3,4,5,2] => [1,3,4,5,6,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [2,1,4,5,6,3] => [2,1,6,3,4,5] => [1,1,0,0,1,1,1,1,0,0,0,0]
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [2,1,4,6,5,3] => [2,1,5,6,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0]
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [2,1,5,4,6,3] => [2,1,4,6,3,5] => [1,1,0,0,1,1,0,1,1,0,0,0]
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [2,1,6,5,4,3] => [2,1,5,4,6,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [2,1,6,4,5,3] => [2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [1,2,4,5,6,3] => [1,2,6,3,4,5] => [1,0,1,0,1,1,1,1,0,0,0,0]
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [1,2,4,6,5,3] => [1,2,5,6,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [1,2,5,4,6,3] => [1,2,4,6,3,5] => [1,0,1,0,1,1,0,1,1,0,0,0]
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [1,2,6,5,4,3] => [1,2,5,4,6,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [1,2,6,4,5,3] => [1,2,4,5,6,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => [3,1,2,6,4,5] => [1,1,1,0,0,0,1,1,1,0,0,0]
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [2,3,1,6,5,4] => [3,1,2,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [3,2,1,5,6,4] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0]
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [1,3,2,5,6,4] => [1,3,2,6,4,5] => [1,0,1,1,0,0,1,1,1,0,0,0]
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [1,3,2,6,5,4] => [1,3,2,5,6,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [2,1,3,5,6,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0]
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [2,1,3,6,5,4] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [1,2,3,5,6,4] => [1,2,3,6,4,5] => [1,0,1,0,1,0,1,1,1,0,0,0]
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => [1,2,3,5,6,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [2,3,4,1,6,5] => [4,1,2,3,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0]
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [2,4,3,1,6,5] => [3,4,1,2,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [3,2,4,1,6,5] => [2,4,1,3,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [4,3,2,1,6,5] => [3,2,4,1,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [4,2,3,1,6,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [1,3,4,2,6,5] => [1,4,2,3,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [1,4,3,2,6,5] => [1,3,4,2,6,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [2,3,1,4,6,5] => [3,1,2,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [3,2,1,4,6,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [2,3,4,5,1,6] => [5,1,2,3,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [2,3,5,4,1,6] => [4,5,1,2,3,6] => [1,1,1,1,0,1,0,0,0,0,1,0]
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [2,4,3,5,1,6] => [3,5,1,2,4,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [2,5,4,3,1,6] => [4,3,5,1,2,6] => [1,1,1,1,0,0,1,0,0,0,1,0]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [2,5,3,4,1,6] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [3,2,4,5,1,6] => [2,5,1,3,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [3,2,5,4,1,6] => [2,4,5,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [4,3,2,5,1,6] => [3,2,5,1,4,6] => [1,1,1,0,0,1,1,0,0,0,1,0]
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [4,2,3,5,1,6] => [2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [5,3,4,2,1,6] => [4,2,3,5,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [5,4,3,2,1,6] => [3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [5,2,4,3,1,6] => [2,4,3,5,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [5,3,2,4,1,6] => [3,2,4,5,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,2,3,4,1,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [1,3,4,5,2,6] => [1,5,2,3,4,6] => [1,0,1,1,1,1,0,0,0,0,1,0]
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [1,3,5,4,2,6] => [1,4,5,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [1,4,3,5,2,6] => [1,3,5,2,4,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [1,5,4,3,2,6] => [1,4,3,5,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [1,5,3,4,2,6] => [1,3,4,5,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [2,1,4,5,3,6] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0]
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [2,1,5,4,3,6] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [1,2,4,5,3,6] => [1,2,5,3,4,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => [1,2,4,5,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [2,3,1,5,4,6] => [3,1,2,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0]
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [3,2,1,5,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [2,3,4,1,5,6] => [4,1,2,3,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [2,4,3,1,5,6] => [3,4,1,2,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [3,2,4,1,5,6] => [2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,3,2,1,5,6] => [3,2,4,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [4,2,3,1,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [1,3,4,2,5,6] => [1,4,2,3,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => [1,3,4,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => [3,1,2,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [2,3,4,5,6,7,1] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [2,3,4,5,7,6,1] => [6,7,1,2,3,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [2,3,4,6,5,7,1] => [5,7,1,2,3,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [2,3,4,7,6,5,1] => [6,5,7,1,2,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [2,3,4,7,5,6,1] => [5,6,7,1,2,3,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [2,3,5,4,6,7,1] => [4,7,1,2,3,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [2,3,5,4,7,6,1] => [4,6,7,1,2,3,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [2,3,6,5,4,7,1] => [5,4,7,1,2,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [2,3,6,4,5,7,1] => [4,5,7,1,2,3,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [2,3,7,5,6,4,1] => [6,4,5,7,1,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [2,3,7,6,5,4,1] => [5,6,4,7,1,2,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [2,3,7,4,6,5,1] => [4,6,5,7,1,2,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [2,3,7,5,4,6,1] => [5,4,6,7,1,2,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [2,3,7,4,5,6,1] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [2,4,3,5,6,7,1] => [3,7,1,2,4,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [2,4,3,5,7,6,1] => [3,6,7,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [2,4,3,6,5,7,1] => [3,5,7,1,2,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [2,4,3,7,6,5,1] => [3,6,5,7,1,2,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [2,4,3,7,5,6,1] => [3,5,6,7,1,2,4] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [2,5,4,3,6,7,1] => [4,3,7,1,2,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [2,5,4,3,7,6,1] => [4,3,6,7,1,2,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [2,5,3,4,6,7,1] => [3,4,7,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [2,5,3,4,7,6,1] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [2,6,4,5,3,7,1] => [5,3,4,7,1,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [2,6,5,4,3,7,1] => [4,5,3,7,1,2,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [2,6,3,5,4,7,1] => [3,5,4,7,1,2,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [2,6,4,3,5,7,1] => [4,3,5,7,1,2,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [2,6,3,4,5,7,1] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [2,7,4,5,6,3,1] => [6,3,4,5,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [2,7,4,6,5,3,1] => [5,6,3,4,7,1,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [2,7,5,4,6,3,1] => [4,6,3,5,7,1,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [2,7,6,5,4,3,1] => [5,4,6,3,7,1,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [2,7,6,4,5,3,1] => [4,5,6,3,7,1,2] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [2,7,3,5,6,4,1] => [3,6,4,5,7,1,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [2,7,3,6,5,4,1] => [3,5,6,4,7,1,2] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [2,7,4,3,6,5,1] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [2,7,3,4,6,5,1] => [3,4,6,5,7,1,2] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [2,7,4,5,3,6,1] => [5,3,4,6,7,1,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [2,7,5,4,3,6,1] => [4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [2,7,3,5,4,6,1] => [3,5,4,6,7,1,2] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [2,7,4,3,5,6,1] => [4,3,5,6,7,1,2] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [2,7,3,4,5,6,1] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [3,2,4,5,6,7,1] => [2,7,1,3,4,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [3,2,4,5,7,6,1] => [2,6,7,1,3,4,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [3,2,4,6,5,7,1] => [2,5,7,1,3,4,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [3,2,4,7,6,5,1] => [2,6,5,7,1,3,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [3,2,4,7,5,6,1] => [2,5,6,7,1,3,4] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [3,2,5,4,6,7,1] => [2,4,7,1,3,5,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [3,2,5,4,7,6,1] => [2,4,6,7,1,3,5] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [3,2,6,5,4,7,1] => [2,5,4,7,1,3,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [3,2,6,4,5,7,1] => [2,4,5,7,1,3,6] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [3,2,7,5,6,4,1] => [2,6,4,5,7,1,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [3,2,7,6,5,4,1] => [2,5,6,4,7,1,3] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [3,2,7,4,6,5,1] => [2,4,6,5,7,1,3] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [3,2,7,5,4,6,1] => [2,5,4,6,7,1,3] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [3,2,7,4,5,6,1] => [2,4,5,6,7,1,3] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [4,3,2,5,6,7,1] => [3,2,7,1,4,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [4,3,2,5,7,6,1] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,3,2,6,5,7,1] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [4,3,2,7,6,5,1] => [3,2,6,5,7,1,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [4,3,2,7,5,6,1] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [4,2,3,5,6,7,1] => [2,3,7,1,4,5,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [4,2,3,5,7,6,1] => [2,3,6,7,1,4,5] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,2,3,6,5,7,1] => [2,3,5,7,1,4,6] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [4,2,3,7,6,5,1] => [2,3,6,5,7,1,4] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [4,2,3,7,5,6,1] => [2,3,5,6,7,1,4] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [5,3,4,2,6,7,1] => [4,2,3,7,1,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [5,3,4,2,7,6,1] => [4,2,3,6,7,1,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [5,4,3,2,6,7,1] => [3,4,2,7,1,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [5,4,3,2,7,6,1] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [5,2,4,3,6,7,1] => [2,4,3,7,1,5,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [5,2,4,3,7,6,1] => [2,4,3,6,7,1,5] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [5,3,2,4,6,7,1] => [3,2,4,7,1,5,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [5,3,2,4,7,6,1] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [5,2,3,4,6,7,1] => [2,3,4,7,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [5,2,3,4,7,6,1] => [2,3,4,6,7,1,5] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [6,3,4,5,2,7,1] => [5,2,3,4,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [6,3,5,4,2,7,1] => [4,5,2,3,7,1,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [6,4,3,5,2,7,1] => [3,5,2,4,7,1,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [6,5,4,3,2,7,1] => [4,3,5,2,7,1,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [6,5,3,4,2,7,1] => [3,4,5,2,7,1,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [6,2,4,5,3,7,1] => [2,5,3,4,7,1,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [6,2,5,4,3,7,1] => [2,4,5,3,7,1,6] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [6,3,2,5,4,7,1] => [3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [6,2,3,5,4,7,1] => [2,3,5,4,7,1,6] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [6,3,4,2,5,7,1] => [4,2,3,5,7,1,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [6,4,3,2,5,7,1] => [3,4,2,5,7,1,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [6,2,4,3,5,7,1] => [2,4,3,5,7,1,6] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [6,3,2,4,5,7,1] => [3,2,4,5,7,1,6] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [6,2,3,4,5,7,1] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [7,3,4,5,6,2,1] => [6,2,3,4,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [7,3,4,6,5,2,1] => [5,6,2,3,4,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [7,3,5,4,6,2,1] => [4,6,2,3,5,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [7,3,6,5,4,2,1] => [5,4,6,2,3,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [7,3,6,4,5,2,1] => [4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [7,4,3,5,6,2,1] => [3,6,2,4,5,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [7,4,3,6,5,2,1] => [3,5,6,2,4,7,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [7,5,4,3,6,2,1] => [4,3,6,2,5,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [7,5,3,4,6,2,1] => [3,4,6,2,5,7,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [7,6,4,5,3,2,1] => [5,3,4,6,2,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [7,6,5,4,3,2,1] => [4,5,3,6,2,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [7,6,3,5,4,2,1] => [3,5,4,6,2,7,1] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [7,6,4,3,5,2,1] => [4,3,5,6,2,7,1] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [7,6,3,4,5,2,1] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [7,2,4,5,6,3,1] => [2,6,3,4,5,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [7,2,4,6,5,3,1] => [2,5,6,3,4,7,1] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [7,2,5,4,6,3,1] => [2,4,6,3,5,7,1] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [7,2,6,5,4,3,1] => [2,5,4,6,3,7,1] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [7,2,6,4,5,3,1] => [2,4,5,6,3,7,1] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [7,3,2,5,6,4,1] => [3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [7,3,2,6,5,4,1] => [3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [7,2,3,5,6,4,1] => [2,3,6,4,5,7,1] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [7,2,3,6,5,4,1] => [2,3,5,6,4,7,1] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [7,3,4,2,6,5,1] => [4,2,3,6,5,7,1] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [7,4,3,2,6,5,1] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [7,2,4,3,6,5,1] => [2,4,3,6,5,7,1] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [7,3,2,4,6,5,1] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [7,2,3,4,6,5,1] => [2,3,4,6,5,7,1] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [7,3,4,5,2,6,1] => [5,2,3,4,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [7,3,5,4,2,6,1] => [4,5,2,3,6,7,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [7,4,3,5,2,6,1] => [3,5,2,4,6,7,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [7,5,4,3,2,6,1] => [4,3,5,2,6,7,1] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [7,5,3,4,2,6,1] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [7,2,4,5,3,6,1] => [2,5,3,4,6,7,1] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [7,2,5,4,3,6,1] => [2,4,5,3,6,7,1] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [7,3,2,5,4,6,1] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [7,2,3,5,4,6,1] => [2,3,5,4,6,7,1] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [7,3,4,2,5,6,1] => [4,2,3,5,6,7,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [7,4,3,2,5,6,1] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [7,2,4,3,5,6,1] => [2,4,3,5,6,7,1] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [7,3,2,4,5,6,1] => [3,2,4,5,6,7,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [1,3,4,5,6,7,2] => [1,7,2,3,4,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [1,3,4,5,7,6,2] => [1,6,7,2,3,4,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [1,3,4,6,5,7,2] => [1,5,7,2,3,4,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [1,3,4,7,6,5,2] => [1,6,5,7,2,3,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [1,3,4,7,5,6,2] => [1,5,6,7,2,3,4] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [1,3,5,4,6,7,2] => [1,4,7,2,3,5,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [1,3,5,4,7,6,2] => [1,4,6,7,2,3,5] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [1,3,6,5,4,7,2] => [1,5,4,7,2,3,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [1,3,6,4,5,7,2] => [1,4,5,7,2,3,6] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [1,3,7,5,6,4,2] => [1,6,4,5,7,2,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [1,3,7,6,5,4,2] => [1,5,6,4,7,2,3] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [1,3,7,4,6,5,2] => [1,4,6,5,7,2,3] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [1,3,7,5,4,6,2] => [1,5,4,6,7,2,3] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [1,3,7,4,5,6,2] => [1,4,5,6,7,2,3] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [1,4,3,5,6,7,2] => [1,3,7,2,4,5,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [1,4,3,5,7,6,2] => [1,3,6,7,2,4,5] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [1,4,3,6,5,7,2] => [1,3,5,7,2,4,6] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [1,4,3,7,6,5,2] => [1,3,6,5,7,2,4] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [1,4,3,7,5,6,2] => [1,3,5,6,7,2,4] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [1,5,4,3,6,7,2] => [1,4,3,7,2,5,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [1,5,4,3,7,6,2] => [1,4,3,6,7,2,5] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [1,5,3,4,6,7,2] => [1,3,4,7,2,5,6] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [1,5,3,4,7,6,2] => [1,3,4,6,7,2,5] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [1,6,4,5,3,7,2] => [1,5,3,4,7,2,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [1,6,5,4,3,7,2] => [1,4,5,3,7,2,6] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [1,6,3,5,4,7,2] => [1,3,5,4,7,2,6] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [1,6,4,3,5,7,2] => [1,4,3,5,7,2,6] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [1,6,3,4,5,7,2] => [1,3,4,5,7,2,6] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [1,7,4,5,6,3,2] => [1,6,3,4,5,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [1,7,4,6,5,3,2] => [1,5,6,3,4,7,2] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [1,7,5,4,6,3,2] => [1,4,6,3,5,7,2] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [1,7,6,5,4,3,2] => [1,5,4,6,3,7,2] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [1,7,6,4,5,3,2] => [1,4,5,6,3,7,2] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [1,7,3,5,6,4,2] => [1,3,6,4,5,7,2] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [1,7,3,6,5,4,2] => [1,3,5,6,4,7,2] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [1,7,4,3,6,5,2] => [1,4,3,6,5,7,2] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [1,7,3,4,6,5,2] => [1,3,4,6,5,7,2] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [1,7,4,5,3,6,2] => [1,5,3,4,6,7,2] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [1,7,5,4,3,6,2] => [1,4,5,3,6,7,2] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [1,7,3,5,4,6,2] => [1,3,5,4,6,7,2] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [1,7,4,3,5,6,2] => [1,4,3,5,6,7,2] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [1,7,3,4,5,6,2] => [1,3,4,5,6,7,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [2,1,4,5,6,7,3] => [2,1,7,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [2,1,4,5,7,6,3] => [2,1,6,7,3,4,5] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [2,1,4,6,5,7,3] => [2,1,5,7,3,4,6] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [2,1,4,7,6,5,3] => [2,1,6,5,7,3,4] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [2,1,4,7,5,6,3] => [2,1,5,6,7,3,4] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [2,1,5,4,6,7,3] => [2,1,4,7,3,5,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [2,1,5,4,7,6,3] => [2,1,4,6,7,3,5] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [2,1,6,5,4,7,3] => [2,1,5,4,7,3,6] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [2,1,6,4,5,7,3] => [2,1,4,5,7,3,6] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [2,1,7,5,6,4,3] => [2,1,6,4,5,7,3] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [2,1,7,6,5,4,3] => [2,1,5,6,4,7,3] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [2,1,7,4,6,5,3] => [2,1,4,6,5,7,3] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [2,1,7,5,4,6,3] => [2,1,5,4,6,7,3] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,1,7,4,5,6,3] => [2,1,4,5,6,7,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [1,2,4,5,6,7,3] => [1,2,7,3,4,5,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [1,2,4,5,7,6,3] => [1,2,6,7,3,4,5] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [1,2,4,6,5,7,3] => [1,2,5,7,3,4,6] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [1,2,4,7,6,5,3] => [1,2,6,5,7,3,4] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [1,2,4,7,5,6,3] => [1,2,5,6,7,3,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [1,2,5,4,6,7,3] => [1,2,4,7,3,5,6] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [1,2,5,4,7,6,3] => [1,2,4,6,7,3,5] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [1,2,6,5,4,7,3] => [1,2,5,4,7,3,6] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [1,2,6,4,5,7,3] => [1,2,4,5,7,3,6] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [1,2,7,5,6,4,3] => [1,2,6,4,5,7,3] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [1,2,7,6,5,4,3] => [1,2,5,6,4,7,3] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [1,2,7,4,6,5,3] => [1,2,4,6,5,7,3] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [1,2,7,5,4,6,3] => [1,2,5,4,6,7,3] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [1,2,7,4,5,6,3] => [1,2,4,5,6,7,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [2,3,1,5,6,7,4] => [3,1,2,7,4,5,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [2,3,1,5,7,6,4] => [3,1,2,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [2,3,1,6,5,7,4] => [3,1,2,5,7,4,6] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [2,3,1,7,6,5,4] => [3,1,2,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [2,3,1,7,5,6,4] => [3,1,2,5,6,7,4] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [3,2,1,5,6,7,4] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,5,7,6,4] => [2,3,1,6,7,4,5] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,6,5,7,4] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,7,6,5,4] => [2,3,1,6,5,7,4] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [1,3,2,5,6,7,4] => [1,3,2,7,4,5,6] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [1,3,2,5,7,6,4] => [1,3,2,6,7,4,5] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [1,3,2,6,5,7,4] => [1,3,2,5,7,4,6] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [1,3,2,7,6,5,4] => [1,3,2,6,5,7,4] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [1,3,2,7,5,6,4] => [1,3,2,5,6,7,4] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [2,1,3,5,6,7,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [2,1,3,5,7,6,4] => [2,1,3,6,7,4,5] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [2,1,3,6,5,7,4] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [2,1,3,7,6,5,4] => [2,1,3,6,5,7,4] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,1,3,7,5,6,4] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [1,2,3,5,6,7,4] => [1,2,3,7,4,5,6] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [1,2,3,5,7,6,4] => [1,2,3,6,7,4,5] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [1,2,3,6,5,7,4] => [1,2,3,5,7,4,6] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [1,2,3,7,6,5,4] => [1,2,3,6,5,7,4] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => [1,2,3,5,6,7,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [2,3,4,1,6,7,5] => [4,1,2,3,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [2,3,4,1,7,6,5] => [4,1,2,3,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [2,4,3,1,6,7,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [2,4,3,1,7,6,5] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,2,4,1,6,7,5] => [2,4,1,3,7,5,6] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,4,1,7,6,5] => [2,4,1,3,6,7,5] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [4,3,2,1,6,7,5] => [3,2,4,1,7,5,6] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [4,3,2,1,7,6,5] => [3,2,4,1,6,7,5] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [4,2,3,1,6,7,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => [1,4,2,3,7,5,6] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [1,3,4,2,7,6,5] => [1,4,2,3,6,7,5] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [1,4,3,2,6,7,5] => [1,3,4,2,7,5,6] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5] => [1,2,4,3,7,5,6] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => [3,1,2,4,7,5,6] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [2,3,1,4,7,6,5] => [3,1,2,4,6,7,5] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,4,6,7,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5] => [1,3,2,4,7,5,6] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [2,3,4,5,1,7,6] => [5,1,2,3,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [2,3,5,4,1,7,6] => [4,5,1,2,3,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [2,4,3,5,1,7,6] => [3,5,1,2,4,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [2,5,4,3,1,7,6] => [4,3,5,1,2,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [2,5,3,4,1,7,6] => [3,4,5,1,2,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [3,2,4,5,1,7,6] => [2,5,1,3,4,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,5,4,1,7,6] => [2,4,5,1,3,7,6] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [4,3,2,5,1,7,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [4,2,3,5,1,7,6] => [2,3,5,1,4,7,6] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [5,3,4,2,1,7,6] => [4,2,3,5,1,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [5,4,3,2,1,7,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [5,2,4,3,1,7,6] => [2,4,3,5,1,7,6] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [5,3,2,4,1,7,6] => [3,2,4,5,1,7,6] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [5,2,3,4,1,7,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [1,3,4,5,2,7,6] => [1,5,2,3,4,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [1,3,5,4,2,7,6] => [1,4,5,2,3,7,6] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [1,4,3,5,2,7,6] => [1,3,5,2,4,7,6] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [1,5,4,3,2,7,6] => [1,4,3,5,2,7,6] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [1,5,3,4,2,7,6] => [1,3,4,5,2,7,6] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [2,1,4,5,3,7,6] => [2,1,5,3,4,7,6] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,1,5,4,3,7,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [1,2,4,5,3,7,6] => [1,2,5,3,4,7,6] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => [1,2,4,5,3,7,6] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [2,3,1,5,4,7,6] => [3,1,2,5,4,7,6] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [3,2,1,5,4,7,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [2,3,4,1,5,7,6] => [4,1,2,3,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [2,4,3,1,5,7,6] => [3,4,1,2,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,4,1,5,7,6] => [2,4,1,3,5,7,6] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [4,3,2,1,5,7,6] => [3,2,4,1,5,7,6] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [4,2,3,1,5,7,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] => [1,4,2,3,5,7,6] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6] => [3,1,2,4,5,7,6] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [2,3,4,5,6,1,7] => [6,1,2,3,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [2,3,4,6,5,1,7] => [5,6,1,2,3,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [2,3,5,4,6,1,7] => [4,6,1,2,3,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [2,3,6,5,4,1,7] => [5,4,6,1,2,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [2,3,6,4,5,1,7] => [4,5,6,1,2,3,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [2,4,3,5,6,1,7] => [3,6,1,2,4,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [2,4,3,6,5,1,7] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [2,5,4,3,6,1,7] => [4,3,6,1,2,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [2,5,3,4,6,1,7] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [2,6,4,5,3,1,7] => [5,3,4,6,1,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [2,6,5,4,3,1,7] => [4,5,3,6,1,2,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [2,6,3,5,4,1,7] => [3,5,4,6,1,2,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [2,6,4,3,5,1,7] => [4,3,5,6,1,2,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [2,6,3,4,5,1,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [3,2,4,5,6,1,7] => [2,6,1,3,4,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [3,2,4,6,5,1,7] => [2,5,6,1,3,4,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [3,2,5,4,6,1,7] => [2,4,6,1,3,5,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [3,2,6,5,4,1,7] => [2,5,4,6,1,3,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [3,2,6,4,5,1,7] => [2,4,5,6,1,3,7] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [4,3,2,5,6,1,7] => [3,2,6,1,4,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [4,3,2,6,5,1,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [4,2,3,5,6,1,7] => [2,3,6,1,4,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [4,2,3,6,5,1,7] => [2,3,5,6,1,4,7] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [5,3,4,2,6,1,7] => [4,2,3,6,1,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [5,4,3,2,6,1,7] => [3,4,2,6,1,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [5,2,4,3,6,1,7] => [2,4,3,6,1,5,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [5,3,2,4,6,1,7] => [3,2,4,6,1,5,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [5,2,3,4,6,1,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [6,3,4,5,2,1,7] => [5,2,3,4,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [6,3,5,4,2,1,7] => [4,5,2,3,6,1,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [6,4,3,5,2,1,7] => [3,5,2,4,6,1,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [6,5,4,3,2,1,7] => [4,3,5,2,6,1,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [6,5,3,4,2,1,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [6,2,4,5,3,1,7] => [2,5,3,4,6,1,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [6,2,5,4,3,1,7] => [2,4,5,3,6,1,7] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [6,3,2,5,4,1,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [6,2,3,5,4,1,7] => [2,3,5,4,6,1,7] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [6,3,4,2,5,1,7] => [4,2,3,5,6,1,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [6,4,3,2,5,1,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [6,2,4,3,5,1,7] => [2,4,3,5,6,1,7] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [6,3,2,4,5,1,7] => [3,2,4,5,6,1,7] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [6,2,3,4,5,1,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [1,3,4,5,6,2,7] => [1,6,2,3,4,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [1,3,4,6,5,2,7] => [1,5,6,2,3,4,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [1,3,5,4,6,2,7] => [1,4,6,2,3,5,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [1,3,6,5,4,2,7] => [1,5,4,6,2,3,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [1,3,6,4,5,2,7] => [1,4,5,6,2,3,7] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [1,4,3,5,6,2,7] => [1,3,6,2,4,5,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [1,4,3,6,5,2,7] => [1,3,5,6,2,4,7] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [1,5,4,3,6,2,7] => [1,4,3,6,2,5,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [1,5,3,4,6,2,7] => [1,3,4,6,2,5,7] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [1,6,4,5,3,2,7] => [1,5,3,4,6,2,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [1,6,5,4,3,2,7] => [1,4,5,3,6,2,7] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [1,6,3,5,4,2,7] => [1,3,5,4,6,2,7] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [1,6,4,3,5,2,7] => [1,4,3,5,6,2,7] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [1,6,3,4,5,2,7] => [1,3,4,5,6,2,7] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [2,1,4,5,6,3,7] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [2,1,4,6,5,3,7] => [2,1,5,6,3,4,7] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [2,1,5,4,6,3,7] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [2,1,6,5,4,3,7] => [2,1,5,4,6,3,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,1,6,4,5,3,7] => [2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [1,2,4,5,6,3,7] => [1,2,6,3,4,5,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [1,2,4,6,5,3,7] => [1,2,5,6,3,4,7] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [1,2,5,4,6,3,7] => [1,2,4,6,3,5,7] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [1,2,6,5,4,3,7] => [1,2,5,4,6,3,7] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => [1,2,4,5,6,3,7] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => [3,1,2,6,4,5,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [2,3,1,6,5,4,7] => [3,1,2,5,6,4,7] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,5,6,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] => [1,3,2,6,4,5,7] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [2,1,3,5,6,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,1,3,6,5,4,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [2,3,4,1,6,5,7] => [4,1,2,3,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [2,4,3,1,6,5,7] => [3,4,1,2,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,2,4,1,6,5,7] => [2,4,1,3,6,5,7] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [4,3,2,1,6,5,7] => [3,2,4,1,6,5,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [4,2,3,1,6,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [1,3,4,2,6,5,7] => [1,4,2,3,6,5,7] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => [1,3,4,2,6,5,7] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [2,3,1,4,6,5,7] => [3,1,2,4,6,5,7] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [3,2,1,4,6,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [2,3,4,5,1,6,7] => [5,1,2,3,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [2,3,5,4,1,6,7] => [4,5,1,2,3,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [2,4,3,5,1,6,7] => [3,5,1,2,4,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [2,5,4,3,1,6,7] => [4,3,5,1,2,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [2,5,3,4,1,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [3,2,4,5,1,6,7] => [2,5,1,3,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [3,2,5,4,1,6,7] => [2,4,5,1,3,6,7] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [4,3,2,5,1,6,7] => [3,2,5,1,4,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [4,2,3,5,1,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [5,3,4,2,1,6,7] => [4,2,3,5,1,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,4,3,2,1,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [5,2,4,3,1,6,7] => [2,4,3,5,1,6,7] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [5,3,2,4,1,6,7] => [3,2,4,5,1,6,7] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [5,2,3,4,1,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [1,3,4,5,2,6,7] => [1,5,2,3,4,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [1,3,5,4,2,6,7] => [1,4,5,2,3,6,7] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [1,4,3,5,2,6,7] => [1,3,5,2,4,6,7] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [1,5,4,3,2,6,7] => [1,4,3,5,2,6,7] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => [1,3,4,5,2,6,7] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [2,1,4,5,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,1,5,4,3,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => [1,2,4,5,3,6,7] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [2,3,1,5,4,6,7] => [3,1,2,5,4,6,7] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [3,2,1,5,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [2,3,4,1,5,6,7] => [4,1,2,3,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [2,4,3,1,5,6,7] => [3,4,1,2,5,6,7] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [3,2,4,1,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [4,3,2,1,5,6,7] => [3,2,4,1,5,6,7] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [4,2,3,1,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => [1,3,4,2,5,6,7] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => [3,1,2,4,5,6,7] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [2,3,4,5,6,8,7,1] => [7,8,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [2,3,4,5,7,6,8,1] => [6,8,1,2,3,4,5,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [2,3,4,5,8,7,6,1] => [7,6,8,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [2,3,4,5,8,6,7,1] => [6,7,8,1,2,3,4,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [2,3,4,6,5,7,8,1] => [5,8,1,2,3,4,6,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [2,3,4,6,5,8,7,1] => [5,7,8,1,2,3,4,6] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [2,3,4,7,6,5,8,1] => [6,5,8,1,2,3,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [2,3,4,7,5,6,8,1] => [5,6,8,1,2,3,4,7] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [2,3,4,8,6,7,5,1] => [7,5,6,8,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [2,3,4,8,7,6,5,1] => [6,7,5,8,1,2,3,4] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [2,3,4,8,5,7,6,1] => [5,7,6,8,1,2,3,4] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [2,3,4,8,6,5,7,1] => [6,5,7,8,1,2,3,4] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [2,3,4,8,5,6,7,1] => [5,6,7,8,1,2,3,4] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [2,3,5,4,6,7,8,1] => [4,8,1,2,3,5,6,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [2,3,5,4,7,6,8,1] => [4,6,8,1,2,3,5,7] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [5,4,8,7,6,3,2,1] => [2,3,6,5,4,7,8,1] => [5,4,8,1,2,3,6,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [2,3,6,4,5,7,8,1] => [4,5,8,1,2,3,6,7] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [4,5,7,8,6,3,2,1] => [2,3,6,4,5,8,7,1] => [4,5,7,8,1,2,3,6] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [6,5,4,8,7,3,2,1] => [2,3,7,5,6,4,8,1] => [6,4,5,8,1,2,3,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [2,3,7,4,5,6,8,1] => [4,5,6,8,1,2,3,7] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [2,3,8,5,6,7,4,1] => [7,4,5,6,8,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [2,3,8,5,7,6,4,1] => [6,7,4,5,8,1,2,3] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => [2,3,8,6,5,7,4,1] => [5,7,4,6,8,1,2,3] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [2,3,8,7,6,5,4,1] => [6,5,7,4,8,1,2,3] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [2,3,8,7,5,6,4,1] => [5,6,7,4,8,1,2,3] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [2,3,8,4,6,7,5,1] => [4,7,5,6,8,1,2,3] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [2,3,8,4,7,6,5,1] => [4,6,7,5,8,1,2,3] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [2,3,8,5,4,7,6,1] => [5,4,7,6,8,1,2,3] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [2,3,8,4,5,7,6,1] => [4,5,7,6,8,1,2,3] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [2,3,8,5,6,4,7,1] => [6,4,5,7,8,1,2,3] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [2,3,8,6,5,4,7,1] => [5,6,4,7,8,1,2,3] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => [2,3,8,4,6,5,7,1] => [4,6,5,7,8,1,2,3] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [2,3,8,5,4,6,7,1] => [5,4,6,7,8,1,2,3] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [2,3,8,4,5,6,7,1] => [4,5,6,7,8,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [2,4,3,5,6,7,8,1] => [3,8,1,2,4,5,6,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [2,4,3,5,6,8,7,1] => [3,7,8,1,2,4,5,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [3,6,7,8,5,4,2,1] => [2,4,3,5,8,6,7,1] => [3,6,7,8,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [2,4,3,6,5,8,7,1] => [3,5,7,8,1,2,4,6] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [3,6,5,8,7,4,2,1] => [2,4,3,7,6,5,8,1] => [3,6,5,8,1,2,4,7] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [2,4,3,7,5,6,8,1] => [3,5,6,8,1,2,4,7] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [2,4,3,8,6,7,5,1] => [3,7,5,6,8,1,2,4] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [3,6,7,5,8,4,2,1] => [2,4,3,8,7,6,5,1] => [3,6,7,5,8,1,2,4] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [2,4,3,8,5,6,7,1] => [3,5,6,7,8,1,2,4] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [4,3,7,8,6,5,2,1] => [2,5,4,3,6,8,7,1] => [4,3,7,8,1,2,5,6] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [4,3,6,8,7,5,2,1] => [2,5,4,3,7,6,8,1] => [4,3,6,8,1,2,5,7] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [4,3,7,6,8,5,2,1] => [2,5,4,3,8,7,6,1] => [4,3,7,6,8,1,2,5] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [2,5,4,3,8,6,7,1] => [4,3,6,7,8,1,2,5] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [2,5,3,4,6,7,8,1] => [3,4,8,1,2,5,6,7] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [3,4,7,8,6,5,2,1] => [2,5,3,4,6,8,7,1] => [3,4,7,8,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [3,4,7,6,8,5,2,1] => [2,5,3,4,8,7,6,1] => [3,4,7,6,8,1,2,5] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [2,5,3,4,8,6,7,1] => [3,4,6,7,8,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [2,6,4,5,3,8,7,1] => [5,3,4,7,8,1,2,6] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [4,5,3,7,8,6,2,1] => [2,6,5,4,3,8,7,1] => [4,5,3,7,8,1,2,6] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [2,6,3,5,4,8,7,1] => [3,5,4,7,8,1,2,6] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [4,3,5,8,7,6,2,1] => [2,6,4,3,5,7,8,1] => [4,3,5,8,1,2,6,7] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [2,6,3,4,5,7,8,1] => [3,4,5,8,1,2,6,7] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [2,6,3,4,5,8,7,1] => [3,4,5,7,8,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [2,7,4,5,6,3,8,1] => [6,3,4,5,8,1,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [4,6,5,3,8,7,2,1] => [2,7,5,4,6,3,8,1] => [4,6,3,5,8,1,2,7] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1] => [2,7,5,4,3,6,8,1] => [4,5,3,6,8,1,2,7] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [3,5,4,6,8,7,2,1] => [2,7,3,5,4,6,8,1] => [3,5,4,6,8,1,2,7] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [2,7,3,4,5,6,8,1] => [3,4,5,6,8,1,2,7] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [2,8,4,5,6,7,3,1] => [7,3,4,5,6,8,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [2,8,4,6,5,7,3,1] => [5,7,3,4,6,8,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [4,6,7,5,3,8,2,1] => [2,8,5,4,7,6,3,1] => [4,6,7,3,5,8,1,2] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => [2,8,6,5,4,7,3,1] => [5,4,7,3,6,8,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [4,5,7,6,3,8,2,1] => [2,8,6,4,5,7,3,1] => [4,5,7,3,6,8,1,2] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [2,8,7,5,6,4,3,1] => [6,4,5,7,3,8,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [5,6,4,7,3,8,2,1] => [2,8,7,6,5,4,3,1] => [5,6,4,7,3,8,1,2] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [4,6,5,7,3,8,2,1] => [2,8,7,4,6,5,3,1] => [4,6,5,7,3,8,1,2] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [2,8,7,5,4,6,3,1] => [5,4,6,7,3,8,1,2] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [2,8,7,4,5,6,3,1] => [4,5,6,7,3,8,1,2] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [2,8,3,5,6,7,4,1] => [3,7,4,5,6,8,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [3,6,7,5,4,8,2,1] => [2,8,3,5,7,6,4,1] => [3,6,7,4,5,8,1,2] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [2,8,3,6,5,7,4,1] => [3,5,7,4,6,8,1,2] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [3,6,5,7,4,8,2,1] => [2,8,3,7,6,5,4,1] => [3,6,5,7,4,8,1,2] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [2,8,4,3,6,7,5,1] => [4,3,7,5,6,8,1,2] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [4,3,6,7,5,8,2,1] => [2,8,4,3,7,6,5,1] => [4,3,6,7,5,8,1,2] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [4,5,3,7,6,8,2,1] => [2,8,5,4,3,7,6,1] => [4,5,3,7,6,8,1,2] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [2,8,3,5,4,7,6,1] => [3,5,4,7,6,8,1,2] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [4,3,5,7,6,8,2,1] => [2,8,4,3,5,7,6,1] => [4,3,5,7,6,8,1,2] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [2,8,3,4,5,7,6,1] => [3,4,5,7,6,8,1,2] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [2,8,4,5,6,3,7,1] => [6,3,4,5,7,8,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [5,6,4,3,7,8,2,1] => [2,8,4,6,5,3,7,1] => [5,6,3,4,7,8,1,2] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [5,4,6,3,7,8,2,1] => [2,8,6,5,4,3,7,1] => [5,4,6,3,7,8,1,2] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [2,8,6,4,5,3,7,1] => [4,5,6,3,7,8,1,2] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [3,5,6,4,7,8,2,1] => [2,8,3,6,5,4,7,1] => [3,5,6,4,7,8,1,2] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1] => [2,8,4,3,6,5,7,1] => [4,3,6,5,7,8,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [2,8,4,5,3,6,7,1] => [5,3,4,6,7,8,1,2] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [4,5,3,6,7,8,2,1] => [2,8,5,4,3,6,7,1] => [4,5,3,6,7,8,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1] => [2,8,3,5,4,6,7,1] => [3,5,4,6,7,8,1,2] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [2,8,4,3,5,6,7,1] => [4,3,5,6,7,8,1,2] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [2,8,3,4,5,6,7,1] => [3,4,5,6,7,8,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,1] => [2,8,1,3,4,5,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [3,2,4,5,6,8,7,1] => [2,7,8,1,3,4,5,6] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [3,2,4,5,7,6,8,1] => [2,6,8,1,3,4,5,7] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [3,2,4,5,8,6,7,1] => [2,6,7,8,1,3,4,5] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [2,6,5,8,7,4,3,1] => [3,2,4,7,6,5,8,1] => [2,6,5,8,1,3,4,7] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [2,7,6,5,8,4,3,1] => [3,2,4,8,6,7,5,1] => [2,7,5,6,8,1,3,4] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [3,2,4,8,7,6,5,1] => [2,6,7,5,8,1,3,4] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [3,2,4,8,5,6,7,1] => [2,5,6,7,8,1,3,4] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [3,2,5,4,6,7,8,1] => [2,4,8,1,3,5,6,7] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [3,2,5,4,6,8,7,1] => [2,4,7,8,1,3,5,6] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [3,2,5,4,7,6,8,1] => [2,4,6,8,1,3,5,7] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [3,2,5,4,8,6,7,1] => [2,4,6,7,8,1,3,5] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [3,2,6,5,4,8,7,1] => [2,5,4,7,8,1,3,6] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [3,2,7,5,6,4,8,1] => [2,6,4,5,8,1,3,7] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [3,2,7,6,5,4,8,1] => [2,5,6,4,8,1,3,7] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [3,2,7,4,6,5,8,1] => [2,4,6,5,8,1,3,7] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [3,2,8,5,6,7,4,1] => [2,7,4,5,6,8,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [2,6,7,5,4,8,3,1] => [3,2,8,5,7,6,4,1] => [2,6,7,4,5,8,1,3] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [2,5,7,6,4,8,3,1] => [3,2,8,6,5,7,4,1] => [2,5,7,4,6,8,1,3] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [3,2,8,5,4,7,6,1] => [2,5,4,7,6,8,1,3] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [3,2,8,5,6,4,7,1] => [2,6,4,5,7,8,1,3] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [3,2,8,4,6,5,7,1] => [2,4,6,5,7,8,1,3] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [3,2,8,4,5,6,7,1] => [2,4,5,6,7,8,1,3] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [4,3,2,5,6,7,8,1] => [3,2,8,1,4,5,6,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [3,2,7,8,6,5,4,1] => [4,3,2,5,6,8,7,1] => [3,2,7,8,1,4,5,6] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [4,3,2,5,7,6,8,1] => [3,2,6,8,1,4,5,7] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [3,2,7,6,8,5,4,1] => [4,3,2,5,8,7,6,1] => [3,2,7,6,8,1,4,5] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [3,2,5,8,7,6,4,1] => [4,3,2,6,5,7,8,1] => [3,2,5,8,1,4,6,7] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [3,2,5,6,8,7,4,1] => [4,3,2,7,5,6,8,1] => [3,2,5,6,8,1,4,7] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [3,2,7,6,5,8,4,1] => [4,3,2,8,6,7,5,1] => [3,2,7,5,6,8,1,4] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [3,2,6,7,5,8,4,1] => [4,3,2,8,7,6,5,1] => [3,2,6,7,5,8,1,4] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,3,2,8,5,7,6,1] => [3,2,5,7,6,8,1,4] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [3,2,6,5,7,8,4,1] => [4,3,2,8,6,5,7,1] => [3,2,6,5,7,8,1,4] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [4,3,2,8,5,6,7,1] => [3,2,5,6,7,8,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [4,2,3,5,6,7,8,1] => [2,3,8,1,4,5,6,7] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [2,3,7,8,6,5,4,1] => [4,2,3,5,6,8,7,1] => [2,3,7,8,1,4,5,6] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [2,3,6,8,7,5,4,1] => [4,2,3,5,7,6,8,1] => [2,3,6,8,1,4,5,7] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,3,7,6,5,8,1] => [2,3,6,5,8,1,4,7] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,2,3,7,5,6,8,1] => [2,3,5,6,8,1,4,7] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [4,2,3,8,6,7,5,1] => [2,3,7,5,6,8,1,4] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [2,3,6,7,5,8,4,1] => [4,2,3,8,7,6,5,1] => [2,3,6,7,5,8,1,4] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,2,3,8,5,7,6,1] => [2,3,5,7,6,8,1,4] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [2,3,6,5,7,8,4,1] => [4,2,3,8,6,5,7,1] => [2,3,6,5,7,8,1,4] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [4,2,3,8,5,6,7,1] => [2,3,5,6,7,8,1,4] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3,4,2,6,7,8,1] => [4,2,3,8,1,5,6,7] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [4,3,2,6,8,7,5,1] => [5,3,4,2,7,6,8,1] => [4,2,3,6,8,1,5,7] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [4,3,2,6,7,8,5,1] => [5,3,4,2,8,6,7,1] => [4,2,3,6,7,8,1,5] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,4,3,2,6,7,8,1] => [3,4,2,8,1,5,6,7] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [5,4,3,2,6,8,7,1] => [3,4,2,7,8,1,5,6] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [3,4,2,6,8,7,5,1] => [5,4,3,2,7,6,8,1] => [3,4,2,6,8,1,5,7] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [3,4,2,6,7,8,5,1] => [5,4,3,2,8,6,7,1] => [3,4,2,6,7,8,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,4,3,6,7,8,1] => [2,4,3,8,1,5,6,7] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [5,2,4,3,7,6,8,1] => [2,4,3,6,8,1,5,7] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [5,3,2,4,6,7,8,1] => [3,2,4,8,1,5,6,7] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [5,3,2,4,6,8,7,1] => [3,2,4,7,8,1,5,6] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [3,2,4,6,7,8,5,1] => [5,3,2,4,8,6,7,1] => [3,2,4,6,7,8,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,2,3,4,6,7,8,1] => [2,3,4,8,1,5,6,7] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [2,3,4,7,8,6,5,1] => [5,2,3,4,6,8,7,1] => [2,3,4,7,8,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [5,2,3,4,7,6,8,1] => [2,3,4,6,8,1,5,7] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [5,2,3,4,8,7,6,1] => [2,3,4,7,6,8,1,5] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [5,2,3,4,8,6,7,1] => [2,3,4,6,7,8,1,5] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [6,3,4,5,2,7,8,1] => [5,2,3,4,8,1,6,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [6,3,4,5,2,8,7,1] => [5,2,3,4,7,8,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [4,5,3,2,8,7,6,1] => [6,3,5,4,2,7,8,1] => [4,5,2,3,8,1,6,7] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [4,3,5,2,8,7,6,1] => [6,5,4,3,2,7,8,1] => [4,3,5,2,8,1,6,7] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [6,3,2,5,4,8,7,1] => [3,2,5,4,7,8,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [2,4,3,5,7,8,6,1] => [6,2,4,3,5,8,7,1] => [2,4,3,5,7,8,1,6] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [6,3,2,4,5,8,7,1] => [3,2,4,5,7,8,1,6] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [6,2,3,4,5,7,8,1] => [2,3,4,5,8,1,6,7] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [6,2,3,4,5,8,7,1] => [2,3,4,5,7,8,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [7,3,4,5,6,2,8,1] => [6,2,3,4,5,8,1,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [7,3,5,4,6,2,8,1] => [4,6,2,3,5,8,1,7] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [7,3,6,5,4,2,8,1] => [5,4,6,2,3,8,1,7] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1] => [7,3,6,4,5,2,8,1] => [4,5,6,2,3,8,1,7] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [7,4,3,6,5,2,8,1] => [3,5,6,2,4,8,1,7] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [7,5,4,3,6,2,8,1] => [4,3,6,2,5,8,1,7] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [7,6,4,5,3,2,8,1] => [5,3,4,6,2,8,1,7] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [7,6,5,4,3,2,8,1] => [4,5,3,6,2,8,1,7] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [3,5,4,6,2,8,7,1] => [7,6,3,5,4,2,8,1] => [3,5,4,6,2,8,1,7] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [3,4,5,6,2,8,7,1] => [7,6,3,4,5,2,8,1] => [3,4,5,6,2,8,1,7] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [7,2,4,5,6,3,8,1] => [2,6,3,4,5,8,1,7] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [7,2,5,4,6,3,8,1] => [2,4,6,3,5,8,1,7] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [7,2,6,4,5,3,8,1] => [2,4,5,6,3,8,1,7] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [7,3,2,5,6,4,8,1] => [3,2,6,4,5,8,1,7] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [3,4,2,6,5,8,7,1] => [7,4,3,2,6,5,8,1] => [3,4,2,6,5,8,1,7] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [7,2,4,3,6,5,8,1] => [2,4,3,6,5,8,1,7] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [7,3,2,4,6,5,8,1] => [3,2,4,6,5,8,1,7] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [7,2,3,4,6,5,8,1] => [2,3,4,6,5,8,1,7] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [7,3,4,5,2,6,8,1] => [5,2,3,4,6,8,1,7] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [3,5,4,2,6,8,7,1] => [7,4,3,5,2,6,8,1] => [3,5,2,4,6,8,1,7] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [4,3,5,2,6,8,7,1] => [7,5,4,3,2,6,8,1] => [4,3,5,2,6,8,1,7] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [2,5,4,3,6,8,7,1] => [7,2,4,5,3,6,8,1] => [2,5,3,4,6,8,1,7] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [7,2,5,4,3,6,8,1] => [2,4,5,3,6,8,1,7] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [7,3,4,2,5,6,8,1] => [4,2,3,5,6,8,1,7] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [7,4,3,2,5,6,8,1] => [3,4,2,5,6,8,1,7] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [7,2,4,3,5,6,8,1] => [2,4,3,5,6,8,1,7] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [7,3,2,4,5,6,8,1] => [3,2,4,5,6,8,1,7] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [7,2,3,4,5,6,8,1] => [2,3,4,5,6,8,1,7] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [8,3,4,5,6,7,2,1] => [7,2,3,4,5,6,8,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [8,3,4,5,7,6,2,1] => [6,7,2,3,4,5,8,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [8,3,4,6,5,7,2,1] => [5,7,2,3,4,6,8,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [8,3,4,7,5,6,2,1] => [5,6,7,2,3,4,8,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => [8,3,5,4,7,6,2,1] => [4,6,7,2,3,5,8,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [5,4,7,6,3,2,8,1] => [8,3,6,5,4,7,2,1] => [5,4,7,2,3,6,8,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [4,5,7,6,3,2,8,1] => [8,3,6,4,5,7,2,1] => [4,5,7,2,3,6,8,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [8,3,7,5,6,4,2,1] => [6,4,5,7,2,3,8,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [5,6,4,7,3,2,8,1] => [8,3,7,6,5,4,2,1] => [5,6,4,7,2,3,8,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [8,3,7,4,6,5,2,1] => [4,6,5,7,2,3,8,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [5,4,6,7,3,2,8,1] => [8,3,7,5,4,6,2,1] => [5,4,6,7,2,3,8,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [8,3,7,4,5,6,2,1] => [4,5,6,7,2,3,8,1] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [8,4,3,6,5,7,2,1] => [3,5,7,2,4,6,8,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [8,4,3,7,5,6,2,1] => [3,5,6,7,2,4,8,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [8,5,4,3,6,7,2,1] => [4,3,7,2,5,6,8,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1] => [8,5,3,4,6,7,2,1] => [3,4,7,2,5,6,8,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [8,5,3,4,7,6,2,1] => [3,4,6,7,2,5,8,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [8,6,3,5,4,7,2,1] => [3,5,4,7,2,6,8,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [4,3,5,7,6,2,8,1] => [8,6,4,3,5,7,2,1] => [4,3,5,7,2,6,8,1] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [3,4,5,7,6,2,8,1] => [8,6,3,4,5,7,2,1] => [3,4,5,7,2,6,8,1] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [8,7,4,5,6,3,2,1] => [6,3,4,5,7,2,8,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [5,6,4,3,7,2,8,1] => [8,7,4,6,5,3,2,1] => [5,6,3,4,7,2,8,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [8,7,5,4,6,3,2,1] => [4,6,3,5,7,2,8,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [8,7,6,5,4,3,2,1] => [5,4,6,3,7,2,8,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [8,7,6,4,5,3,2,1] => [4,5,6,3,7,2,8,1] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [8,7,3,5,6,4,2,1] => [3,6,4,5,7,2,8,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [8,7,3,6,5,4,2,1] => [3,5,6,4,7,2,8,1] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [8,7,4,3,6,5,2,1] => [4,3,6,5,7,2,8,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [8,7,3,4,6,5,2,1] => [3,4,6,5,7,2,8,1] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [8,7,5,4,3,6,2,1] => [4,5,3,6,7,2,8,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [3,5,4,6,7,2,8,1] => [8,7,3,5,4,6,2,1] => [3,5,4,6,7,2,8,1] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [8,7,3,4,5,6,2,1] => [3,4,5,6,7,2,8,1] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [8,2,4,7,6,5,3,1] => [2,6,5,7,3,4,8,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [2,4,7,6,5,3,8,1] => [8,2,5,4,6,7,3,1] => [2,4,7,3,5,6,8,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [8,2,5,4,7,6,3,1] => [2,4,6,7,3,5,8,1] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [2,4,5,7,6,3,8,1] => [8,2,6,4,5,7,3,1] => [2,4,5,7,3,6,8,1] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [8,2,7,4,6,5,3,1] => [2,4,6,5,7,3,8,1] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [8,2,7,5,4,6,3,1] => [2,5,4,6,7,3,8,1] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,3,8,1] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [8,3,2,6,5,7,4,1] => [3,2,5,7,4,6,8,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [8,3,2,7,6,5,4,1] => [3,2,6,5,7,4,8,1] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [8,3,2,7,5,6,4,1] => [3,2,5,6,7,4,8,1] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [8,2,3,5,6,7,4,1] => [2,3,7,4,5,6,8,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [2,3,6,7,5,4,8,1] => [8,2,3,5,7,6,4,1] => [2,3,6,7,4,5,8,1] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [8,2,3,6,5,7,4,1] => [2,3,5,7,4,6,8,1] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [8,2,3,7,5,6,4,1] => [2,3,5,6,7,4,8,1] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [8,3,4,2,6,7,5,1] => [4,2,3,7,5,6,8,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [8,4,3,2,7,6,5,1] => [3,4,2,6,7,5,8,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [8,2,4,3,6,7,5,1] => [2,4,3,7,5,6,8,1] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [8,2,4,3,7,6,5,1] => [2,4,3,6,7,5,8,1] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => [8,3,2,4,6,7,5,1] => [3,2,4,7,5,6,8,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [8,2,3,4,6,7,5,1] => [2,3,4,7,5,6,8,1] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,5,8,1] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [8,4,3,5,2,7,6,1] => [3,5,2,4,7,6,8,1] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [8,5,4,3,2,7,6,1] => [4,3,5,2,7,6,8,1] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [8,5,3,4,2,7,6,1] => [3,4,5,2,7,6,8,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [2,5,4,3,7,6,8,1] => [8,2,4,5,3,7,6,1] => [2,5,3,4,7,6,8,1] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [8,3,2,5,4,7,6,1] => [3,2,5,4,7,6,8,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [8,2,3,5,4,7,6,1] => [2,3,5,4,7,6,8,1] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [8,4,3,2,5,7,6,1] => [3,4,2,5,7,6,8,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [8,2,4,3,5,7,6,1] => [2,4,3,5,7,6,8,1] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [8,3,2,4,5,7,6,1] => [3,2,4,5,7,6,8,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,6,8,1] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [8,3,4,5,6,2,7,1] => [6,2,3,4,5,7,8,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [8,3,6,5,4,2,7,1] => [5,4,6,2,3,7,8,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [8,3,6,4,5,2,7,1] => [4,5,6,2,3,7,8,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => [8,4,3,6,5,2,7,1] => [3,5,6,2,4,7,8,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [4,3,6,5,2,7,8,1] => [8,5,4,3,6,2,7,1] => [4,3,6,2,5,7,8,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [3,5,4,6,2,7,8,1] => [8,6,3,5,4,2,7,1] => [3,5,4,6,2,7,8,1] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [8,6,4,3,5,2,7,1] => [4,3,5,6,2,7,8,1] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,2,7,8,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [8,2,4,5,6,3,7,1] => [2,6,3,4,5,7,8,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => [8,2,4,6,5,3,7,1] => [2,5,6,3,4,7,8,1] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => [8,2,5,4,6,3,7,1] => [2,4,6,3,5,7,8,1] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [8,2,6,5,4,3,7,1] => [2,5,4,6,3,7,8,1] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => [8,2,6,4,5,3,7,1] => [2,4,5,6,3,7,8,1] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [8,3,2,6,5,4,7,1] => [3,2,5,6,4,7,8,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [8,2,3,5,6,4,7,1] => [2,3,6,4,5,7,8,1] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [8,2,3,6,5,4,7,1] => [2,3,5,6,4,7,8,1] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [8,4,3,2,6,5,7,1] => [3,4,2,6,5,7,8,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [8,2,4,3,6,5,7,1] => [2,4,3,6,5,7,8,1] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [8,2,3,4,6,5,7,1] => [2,3,4,6,5,7,8,1] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [8,3,4,5,2,6,7,1] => [5,2,3,4,6,7,8,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [8,3,5,4,2,6,7,1] => [4,5,2,3,6,7,8,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => [8,4,3,5,2,6,7,1] => [3,5,2,4,6,7,8,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [8,5,4,3,2,6,7,1] => [4,3,5,2,6,7,8,1] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [8,5,3,4,2,6,7,1] => [3,4,5,2,6,7,8,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => [8,2,4,5,3,6,7,1] => [2,5,3,4,6,7,8,1] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [8,2,5,4,3,6,7,1] => [2,4,5,3,6,7,8,1] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [8,3,2,5,4,6,7,1] => [3,2,5,4,6,7,8,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [8,2,3,5,4,6,7,1] => [2,3,5,4,6,7,8,1] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [8,3,4,2,5,6,7,1] => [4,2,3,5,6,7,8,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,2,5,6,7,8,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [8,2,4,3,5,6,7,1] => [2,4,3,5,6,7,8,1] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [8,3,2,4,5,6,7,1] => [3,2,4,5,6,7,8,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,2] => [1,8,2,3,4,5,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [1,3,4,5,6,8,7,2] => [1,7,8,2,3,4,5,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [1,3,4,5,7,6,8,2] => [1,6,8,2,3,4,5,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [1,3,4,5,8,7,6,2] => [1,7,6,8,2,3,4,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [1,3,4,5,8,6,7,2] => [1,6,7,8,2,3,4,5] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,5,7,8,6,4,3,2] => [1,3,4,6,5,8,7,2] => [1,5,7,8,2,3,4,6] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [1,3,4,7,6,5,8,2] => [1,6,5,8,2,3,4,7] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,5,6,8,7,4,3,2] => [1,3,4,7,5,6,8,2] => [1,5,6,8,2,3,4,7] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [1,3,4,8,7,6,5,2] => [1,6,7,5,8,2,3,4] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [1,3,4,8,6,5,7,2] => [1,6,5,7,8,2,3,4] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [1,3,4,8,5,6,7,2] => [1,5,6,7,8,2,3,4] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [1,3,5,4,6,7,8,2] => [1,4,8,2,3,5,6,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [1,3,5,4,6,8,7,2] => [1,4,7,8,2,3,5,6] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [1,3,5,4,7,6,8,2] => [1,4,6,8,2,3,5,7] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,4,7,6,8,5,3,2] => [1,3,5,4,8,7,6,2] => [1,4,7,6,8,2,3,5] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [1,3,6,4,5,8,7,2] => [1,4,5,7,8,2,3,6] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [1,3,7,5,4,6,8,2] => [1,5,4,6,8,2,3,7] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [1,3,8,5,6,7,4,2] => [1,7,4,5,6,8,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [1,5,6,7,4,8,3,2] => [1,3,8,7,5,6,4,2] => [1,5,6,7,4,8,2,3] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [1,3,8,4,6,7,5,2] => [1,4,7,5,6,8,2,3] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,5,4,7,6,8,3,2] => [1,3,8,5,4,7,6,2] => [1,5,4,7,6,8,2,3] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [1,3,8,5,6,4,7,2] => [1,6,4,5,7,8,2,3] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => [1,3,8,5,4,6,7,2] => [1,5,4,6,7,8,2,3] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [1,3,8,4,5,6,7,2] => [1,4,5,6,7,8,2,3] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [1,4,3,5,6,7,8,2] => [1,3,8,2,4,5,6,7] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [1,4,3,5,6,8,7,2] => [1,3,7,8,2,4,5,6] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [1,4,3,5,8,6,7,2] => [1,3,6,7,8,2,4,5] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [1,4,3,6,5,7,8,2] => [1,3,5,8,2,4,6,7] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [1,4,3,6,5,8,7,2] => [1,3,5,7,8,2,4,6] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,3,7,6,5,8,4,2] => [1,4,3,8,6,7,5,2] => [1,3,7,5,6,8,2,4] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [1,4,3,8,7,6,5,2] => [1,3,6,7,5,8,2,4] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [1,4,3,8,5,7,6,2] => [1,3,5,7,6,8,2,4] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [1,4,3,8,6,5,7,2] => [1,3,6,5,7,8,2,4] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [1,4,3,8,5,6,7,2] => [1,3,5,6,7,8,2,4] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [1,5,4,3,6,7,8,2] => [1,4,3,8,2,5,6,7] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [1,5,4,3,6,8,7,2] => [1,4,3,7,8,2,5,6] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [1,5,4,3,7,6,8,2] => [1,4,3,6,8,2,5,7] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => [1,5,4,3,8,7,6,2] => [1,4,3,7,6,8,2,5] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [1,5,3,4,6,7,8,2] => [1,3,4,8,2,5,6,7] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,3,4,6,8,7,5,2] => [1,5,3,4,7,6,8,2] => [1,3,4,6,8,2,5,7] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [1,5,3,4,8,7,6,2] => [1,3,4,7,6,8,2,5] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,5,4,3,7,8,6,2] => [1,6,4,5,3,8,7,2] => [1,5,3,4,7,8,2,6] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [1,6,5,4,3,7,8,2] => [1,4,5,3,8,2,6,7] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [1,6,5,4,3,8,7,2] => [1,4,5,3,7,8,2,6] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,3,5,4,8,7,6,2] => [1,6,3,5,4,7,8,2] => [1,3,5,4,8,2,6,7] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [1,6,3,5,4,8,7,2] => [1,3,5,4,7,8,2,6] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [1,6,4,3,5,8,7,2] => [1,4,3,5,7,8,2,6] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [1,6,3,4,5,7,8,2] => [1,3,4,5,8,2,6,7] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [1,6,3,4,5,8,7,2] => [1,3,4,5,7,8,2,6] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [1,7,4,5,6,3,8,2] => [1,6,3,4,5,8,2,7] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [1,7,4,6,5,3,8,2] => [1,5,6,3,4,8,2,7] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,5,4,6,3,8,7,2] => [1,7,6,5,4,3,8,2] => [1,5,4,6,3,8,2,7] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [1,7,3,5,6,4,8,2] => [1,3,6,4,5,8,2,7] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,3,5,6,4,8,7,2] => [1,7,3,6,5,4,8,2] => [1,3,5,6,4,8,2,7] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [1,7,4,3,6,5,8,2] => [1,4,3,6,5,8,2,7] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,3,4,6,5,8,7,2] => [1,7,3,4,6,5,8,2] => [1,3,4,6,5,8,2,7] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [1,7,4,5,3,6,8,2] => [1,5,3,4,6,8,2,7] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [1,7,3,4,5,6,8,2] => [1,3,4,5,6,8,2,7] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [1,8,4,5,6,7,3,2] => [1,7,3,4,5,6,8,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [1,8,4,5,7,6,3,2] => [1,6,7,3,4,5,8,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [1,5,7,6,4,3,8,2] => [1,8,4,6,5,7,3,2] => [1,5,7,3,4,6,8,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [1,8,4,7,6,5,3,2] => [1,6,5,7,3,4,8,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,5,6,7,4,3,8,2] => [1,8,4,7,5,6,3,2] => [1,5,6,7,3,4,8,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,4,7,6,5,3,8,2] => [1,8,5,4,6,7,3,2] => [1,4,7,3,5,6,8,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [1,8,5,4,7,6,3,2] => [1,4,6,7,3,5,8,2] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,5,4,7,6,3,8,2] => [1,8,6,5,4,7,3,2] => [1,5,4,7,3,6,8,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,4,5,7,6,3,8,2] => [1,8,6,4,5,7,3,2] => [1,4,5,7,3,6,8,2] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [1,8,7,6,5,4,3,2] => [1,5,6,4,7,3,8,2] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [1,8,7,5,4,6,3,2] => [1,5,4,6,7,3,8,2] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,3,8,2] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [1,8,3,6,5,7,4,2] => [1,3,5,7,4,6,8,2] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [1,8,3,7,6,5,4,2] => [1,3,6,5,7,4,8,2] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [1,8,3,7,5,6,4,2] => [1,3,5,6,7,4,8,2] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [1,8,4,3,7,6,5,2] => [1,4,3,6,7,5,8,2] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [1,8,3,4,7,6,5,2] => [1,3,4,6,7,5,8,2] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [1,8,3,5,4,7,6,2] => [1,3,5,4,7,6,8,2] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [1,8,3,4,5,7,6,2] => [1,3,4,5,7,6,8,2] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,4,6,5,3,7,8,2] => [1,8,5,4,6,3,7,2] => [1,4,6,3,5,7,8,2] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [1,8,6,5,4,3,7,2] => [1,5,4,6,3,7,8,2] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [1,8,3,6,5,4,7,2] => [1,3,5,6,4,7,8,2] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [1,8,4,3,6,5,7,2] => [1,4,3,6,5,7,8,2] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [1,8,3,4,6,5,7,2] => [1,3,4,6,5,7,8,2] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [1,8,4,5,3,6,7,2] => [1,5,3,4,6,7,8,2] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [1,8,5,4,3,6,7,2] => [1,4,5,3,6,7,8,2] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [1,8,3,5,4,6,7,2] => [1,3,5,4,6,7,8,2] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [1,8,4,3,5,6,7,2] => [1,4,3,5,6,7,8,2] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [2,1,4,5,6,7,8,3] => [2,1,8,3,4,5,6,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [2,1,4,5,6,8,7,3] => [2,1,7,8,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [2,1,4,5,7,6,8,3] => [2,1,6,8,3,4,5,7] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [2,1,4,5,8,7,6,3] => [2,1,7,6,8,3,4,5] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [2,1,4,5,8,6,7,3] => [2,1,6,7,8,3,4,5] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [2,1,4,6,5,7,8,3] => [2,1,5,8,3,4,6,7] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [2,1,4,6,5,8,7,3] => [2,1,5,7,8,3,4,6] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [2,1,4,7,5,6,8,3] => [2,1,5,6,8,3,4,7] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [2,1,4,8,6,7,5,3] => [2,1,7,5,6,8,3,4] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [2,1,4,8,7,6,5,3] => [2,1,6,7,5,8,3,4] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [2,1,4,8,6,5,7,3] => [2,1,6,5,7,8,3,4] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [2,1,4,8,5,6,7,3] => [2,1,5,6,7,8,3,4] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [2,1,5,4,6,7,8,3] => [2,1,4,8,3,5,6,7] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [2,1,5,4,6,8,7,3] => [2,1,4,7,8,3,5,6] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [2,1,5,4,7,6,8,3] => [2,1,4,6,8,3,5,7] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [2,1,5,4,8,6,7,3] => [2,1,4,6,7,8,3,5] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [2,1,6,5,4,7,8,3] => [2,1,5,4,8,3,6,7] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [2,1,6,4,5,7,8,3] => [2,1,4,5,8,3,6,7] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [2,1,6,4,5,8,7,3] => [2,1,4,5,7,8,3,6] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [2,1,7,5,6,4,8,3] => [2,1,6,4,5,8,3,7] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [2,1,7,6,5,4,8,3] => [2,1,5,6,4,8,3,7] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [2,1,7,4,6,5,8,3] => [2,1,4,6,5,8,3,7] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [2,1,7,5,4,6,8,3] => [2,1,5,4,6,8,3,7] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [2,1,7,4,5,6,8,3] => [2,1,4,5,6,8,3,7] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [2,1,8,6,5,7,4,3] => [2,1,5,7,4,6,8,3] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [2,1,8,7,6,5,4,3] => [2,1,6,5,7,4,8,3] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [2,1,8,7,5,6,4,3] => [2,1,5,6,7,4,8,3] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,5,8,3] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [2,1,8,5,4,7,6,3] => [2,1,5,4,7,6,8,3] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [2,1,6,5,4,7,8,3] => [2,1,8,5,6,4,7,3] => [2,1,6,4,5,7,8,3] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,4,7,8,3] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [2,1,8,5,4,6,7,3] => [2,1,5,4,6,7,8,3] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,1,8,4,5,6,7,3] => [2,1,4,5,6,7,8,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [1,2,4,5,6,7,8,3] => [1,2,8,3,4,5,6,7] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [1,2,4,5,6,8,7,3] => [1,2,7,8,3,4,5,6] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,2,7,6,8,5,4,3] => [1,2,4,5,8,7,6,3] => [1,2,7,6,8,3,4,5] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [1,2,4,5,8,6,7,3] => [1,2,6,7,8,3,4,5] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,2,5,8,7,6,4,3] => [1,2,4,6,5,7,8,3] => [1,2,5,8,3,4,6,7] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [1,2,5,7,8,6,4,3] => [1,2,4,6,5,8,7,3] => [1,2,5,7,8,3,4,6] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [1,2,4,7,6,5,8,3] => [1,2,6,5,8,3,4,7] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [1,2,4,7,5,6,8,3] => [1,2,5,6,8,3,4,7] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [1,2,4,8,6,7,5,3] => [1,2,7,5,6,8,3,4] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,2,6,7,5,8,4,3] => [1,2,4,8,7,6,5,3] => [1,2,6,7,5,8,3,4] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [1,2,4,8,5,6,7,3] => [1,2,5,6,7,8,3,4] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [1,2,5,4,6,7,8,3] => [1,2,4,8,3,5,6,7] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => [1,2,5,4,6,8,7,3] => [1,2,4,7,8,3,5,6] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [1,2,5,4,7,6,8,3] => [1,2,4,6,8,3,5,7] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,2,4,7,6,8,5,3] => [1,2,5,4,8,7,6,3] => [1,2,4,7,6,8,3,5] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [1,2,5,4,8,6,7,3] => [1,2,4,6,7,8,3,5] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [1,2,6,5,4,7,8,3] => [1,2,5,4,8,3,6,7] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,2,5,4,7,8,6,3] => [1,2,6,5,4,8,7,3] => [1,2,5,4,7,8,3,6] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [1,2,6,4,5,7,8,3] => [1,2,4,5,8,3,6,7] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [1,2,6,4,5,8,7,3] => [1,2,4,5,7,8,3,6] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [1,2,7,5,6,4,8,3] => [1,2,6,4,5,8,3,7] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,2,4,6,5,8,7,3] => [1,2,7,4,6,5,8,3] => [1,2,4,6,5,8,3,7] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [1,2,7,4,5,6,8,3] => [1,2,4,5,6,8,3,7] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [1,2,8,5,6,7,4,3] => [1,2,7,4,5,6,8,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [1,2,6,7,5,4,8,3] => [1,2,8,5,7,6,4,3] => [1,2,6,7,4,5,8,3] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [1,2,8,6,5,7,4,3] => [1,2,5,7,4,6,8,3] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [1,2,8,7,5,6,4,3] => [1,2,5,6,7,4,8,3] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [1,2,8,4,6,7,5,3] => [1,2,4,7,5,6,8,3] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [1,2,8,5,4,7,6,3] => [1,2,5,4,7,6,8,3] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [1,2,8,5,6,4,7,3] => [1,2,6,4,5,7,8,3] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [1,2,8,5,4,6,7,3] => [1,2,5,4,6,7,8,3] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [1,2,8,4,5,6,7,3] => [1,2,4,5,6,7,8,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [2,3,1,5,6,7,8,4] => [3,1,2,8,4,5,6,7] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [2,3,1,5,6,8,7,4] => [3,1,2,7,8,4,5,6] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [2,3,1,5,8,6,7,4] => [3,1,2,6,7,8,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [2,3,1,6,5,7,8,4] => [3,1,2,5,8,4,6,7] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [2,3,1,6,5,8,7,4] => [3,1,2,5,7,8,4,6] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [2,3,1,7,6,5,8,4] => [3,1,2,6,5,8,4,7] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [2,3,1,7,5,6,8,4] => [3,1,2,5,6,8,4,7] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [2,3,1,8,6,7,5,4] => [3,1,2,7,5,6,8,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [2,3,1,8,7,6,5,4] => [3,1,2,6,7,5,8,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [2,3,1,8,5,7,6,4] => [3,1,2,5,7,6,8,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [2,3,1,8,6,5,7,4] => [3,1,2,6,5,7,8,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [2,3,1,8,5,6,7,4] => [3,1,2,5,6,7,8,4] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [3,2,1,5,6,7,8,4] => [2,3,1,8,4,5,6,7] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [2,3,1,7,8,6,5,4] => [3,2,1,5,6,8,7,4] => [2,3,1,7,8,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [3,2,1,5,7,6,8,4] => [2,3,1,6,8,4,5,7] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [3,2,1,5,8,7,6,4] => [2,3,1,7,6,8,4,5] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,5,8,6,7,4] => [2,3,1,6,7,8,4,5] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,6,5,8,7,4] => [2,3,1,5,7,8,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [2,3,1,5,6,8,7,4] => [3,2,1,7,5,6,8,4] => [2,3,1,5,6,8,4,7] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,8,7,6,5,4] => [2,3,1,6,7,5,8,4] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,8,5,7,6,4] => [2,3,1,5,7,6,8,4] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [3,2,1,8,5,6,7,4] => [2,3,1,5,6,7,8,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [1,3,2,5,6,7,8,4] => [1,3,2,8,4,5,6,7] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [1,3,2,5,7,6,8,4] => [1,3,2,6,8,4,5,7] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [1,3,2,5,8,7,6,4] => [1,3,2,7,6,8,4,5] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [1,3,2,5,8,6,7,4] => [1,3,2,6,7,8,4,5] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [1,3,2,6,5,7,8,4] => [1,3,2,5,8,4,6,7] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [1,3,2,6,5,8,7,4] => [1,3,2,5,7,8,4,6] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [1,3,2,7,6,5,8,4] => [1,3,2,6,5,8,4,7] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [1,3,2,8,6,7,5,4] => [1,3,2,7,5,6,8,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [1,3,2,8,7,6,5,4] => [1,3,2,6,7,5,8,4] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [1,3,2,8,5,7,6,4] => [1,3,2,5,7,6,8,4] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [1,3,2,8,6,5,7,4] => [1,3,2,6,5,7,8,4] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [1,3,2,8,5,6,7,4] => [1,3,2,5,6,7,8,4] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [2,1,3,5,6,7,8,4] => [2,1,3,8,4,5,6,7] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [2,1,3,5,6,8,7,4] => [2,1,3,7,8,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => [2,1,3,5,8,6,7,4] => [2,1,3,6,7,8,4,5] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [2,1,3,5,8,7,6,4] => [2,1,3,6,5,7,8,4] => [2,1,3,5,8,4,6,7] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [2,1,3,7,6,5,8,4] => [2,1,3,6,5,8,4,7] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [2,1,3,5,6,8,7,4] => [2,1,3,7,5,6,8,4] => [2,1,3,5,6,8,4,7] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,1,3,8,5,6,7,4] => [2,1,3,5,6,7,8,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [1,2,3,5,6,7,8,4] => [1,2,3,8,4,5,6,7] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [1,2,3,5,6,8,7,4] => [1,2,3,7,8,4,5,6] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [1,2,3,5,7,6,8,4] => [1,2,3,6,8,4,5,7] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [1,2,3,5,8,7,6,4] => [1,2,3,7,6,8,4,5] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [1,2,3,5,8,6,7,4] => [1,2,3,6,7,8,4,5] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [1,2,3,6,5,7,8,4] => [1,2,3,5,8,4,6,7] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [1,2,3,6,5,8,7,4] => [1,2,3,5,7,8,4,6] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [1,2,3,7,6,5,8,4] => [1,2,3,6,5,8,4,7] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [1,2,3,7,5,6,8,4] => [1,2,3,5,6,8,4,7] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [1,2,3,8,6,7,5,4] => [1,2,3,7,5,6,8,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [1,2,3,8,7,6,5,4] => [1,2,3,6,7,5,8,4] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [1,2,3,8,5,7,6,4] => [1,2,3,5,7,6,8,4] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [1,2,3,8,6,5,7,4] => [1,2,3,6,5,7,8,4] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4] => [1,2,3,5,6,7,8,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [2,3,4,1,6,7,8,5] => [4,1,2,3,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [2,3,4,1,6,8,7,5] => [4,1,2,3,7,8,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [2,3,4,1,7,6,8,5] => [4,1,2,3,6,8,5,7] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [2,3,4,1,8,7,6,5] => [4,1,2,3,7,6,8,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [2,3,4,1,8,6,7,5] => [4,1,2,3,6,7,8,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [2,4,3,1,6,7,8,5] => [3,4,1,2,8,5,6,7] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [2,4,3,1,6,8,7,5] => [3,4,1,2,7,8,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [2,4,3,1,7,6,8,5] => [3,4,1,2,6,8,5,7] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [2,4,3,1,8,7,6,5] => [3,4,1,2,7,6,8,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [2,4,3,1,8,6,7,5] => [3,4,1,2,6,7,8,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [3,2,4,1,6,7,8,5] => [2,4,1,3,8,5,6,7] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,2,4,1,6,8,7,5] => [2,4,1,3,7,8,5,6] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,2,4,1,7,6,8,5] => [2,4,1,3,6,8,5,7] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,2,4,1,8,7,6,5] => [2,4,1,3,7,6,8,5] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,4,1,8,6,7,5] => [2,4,1,3,6,7,8,5] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,2,1,6,7,8,5] => [3,2,4,1,8,5,6,7] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [4,3,2,1,6,8,7,5] => [3,2,4,1,7,8,5,6] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [4,3,2,1,7,6,8,5] => [3,2,4,1,6,8,5,7] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [4,3,2,1,8,7,6,5] => [3,2,4,1,7,6,8,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [4,3,2,1,8,6,7,5] => [3,2,4,1,6,7,8,5] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,3,1,6,7,8,5] => [2,3,4,1,8,5,6,7] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [4,2,3,1,6,8,7,5] => [2,3,4,1,7,8,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [4,2,3,1,7,6,8,5] => [2,3,4,1,6,8,5,7] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [4,2,3,1,8,7,6,5] => [2,3,4,1,7,6,8,5] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [4,2,3,1,8,6,7,5] => [2,3,4,1,6,7,8,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [1,3,4,2,6,7,8,5] => [1,4,2,3,8,5,6,7] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,4,3,2,7,8,6,5] => [1,3,4,2,6,8,7,5] => [1,4,2,3,7,8,5,6] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [1,3,4,2,8,7,6,5] => [1,4,2,3,7,6,8,5] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [1,3,4,2,8,6,7,5] => [1,4,2,3,6,7,8,5] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [1,4,3,2,6,7,8,5] => [1,3,4,2,8,5,6,7] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [1,4,3,2,6,8,7,5] => [1,3,4,2,7,8,5,6] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [1,4,3,2,8,7,6,5] => [1,3,4,2,7,6,8,5] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [1,4,3,2,8,6,7,5] => [1,3,4,2,6,7,8,5] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [2,1,4,3,6,7,8,5] => [2,1,4,3,8,5,6,7] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [2,1,4,3,6,8,7,5] => [2,1,4,3,7,8,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [2,1,4,3,7,6,8,5] => [2,1,4,3,6,8,5,7] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [2,1,4,3,8,7,6,5] => [2,1,4,3,7,6,8,5] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,1,4,3,8,6,7,5] => [2,1,4,3,6,7,8,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,5,6,7] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [1,2,4,3,6,8,7,5] => [1,2,4,3,7,8,5,6] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [1,2,4,3,7,6,8,5] => [1,2,4,3,6,8,5,7] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [1,2,4,3,8,7,6,5] => [1,2,4,3,7,6,8,5] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,6,7,5] => [1,2,4,3,6,7,8,5] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [2,3,1,4,6,7,8,5] => [3,1,2,4,8,5,6,7] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [2,3,1,4,6,8,7,5] => [3,1,2,4,7,8,5,6] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [2,3,1,4,7,6,8,5] => [3,1,2,4,6,8,5,7] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [2,3,1,4,8,7,6,5] => [3,1,2,4,7,6,8,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [2,3,1,4,8,6,7,5] => [3,1,2,4,6,7,8,5] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [3,2,1,4,6,7,8,5] => [2,3,1,4,8,5,6,7] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,4,6,8,7,5] => [2,3,1,4,7,8,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,4,8,7,6,5] => [2,3,1,4,7,6,8,5] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [3,2,1,4,8,6,7,5] => [2,3,1,4,6,7,8,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [1,3,2,4,6,7,8,5] => [1,3,2,4,8,5,6,7] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,3,2,4,7,8,6,5] => [1,3,2,4,6,8,7,5] => [1,3,2,4,7,8,5,6] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [1,3,2,4,7,6,8,5] => [1,3,2,4,6,8,5,7] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [1,3,2,4,8,7,6,5] => [1,3,2,4,7,6,8,5] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [1,3,2,4,8,6,7,5] => [1,3,2,4,6,7,8,5] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [2,1,3,4,6,7,8,5] => [2,1,3,4,8,5,6,7] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [2,1,3,4,6,8,7,5] => [2,1,3,4,7,8,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [2,1,3,4,8,7,6,5] => [2,1,3,4,7,6,8,5] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,1,3,4,8,6,7,5] => [2,1,3,4,6,7,8,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,5,6,7] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [1,2,3,4,6,8,7,5] => [1,2,3,4,7,8,5,6] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [1,2,3,4,7,6,8,5] => [1,2,3,4,6,8,5,7] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [1,2,3,4,8,7,6,5] => [1,2,3,4,7,6,8,5] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,6,7,5] => [1,2,3,4,6,7,8,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [2,3,4,5,1,7,8,6] => [5,1,2,3,4,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [2,3,4,5,1,8,7,6] => [5,1,2,3,4,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [2,3,5,4,1,7,8,6] => [4,5,1,2,3,8,6,7] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [2,4,3,5,1,7,8,6] => [3,5,1,2,4,8,6,7] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [2,4,3,5,1,8,7,6] => [3,5,1,2,4,7,8,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [2,5,3,4,1,8,7,6] => [3,4,5,1,2,7,8,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,5,4,1,8,7,6] => [2,4,5,1,3,7,8,6] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [4,3,2,5,1,8,7,6] => [3,2,5,1,4,7,8,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [4,2,3,5,1,7,8,6] => [2,3,5,1,4,8,6,7] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [5,3,4,2,1,7,8,6] => [4,2,3,5,1,8,6,7] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [5,3,4,2,1,8,7,6] => [4,2,3,5,1,7,8,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [5,4,3,2,1,7,8,6] => [3,4,2,5,1,8,6,7] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [5,4,3,2,1,8,7,6] => [3,4,2,5,1,7,8,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [5,2,4,3,1,7,8,6] => [2,4,3,5,1,8,6,7] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [5,2,4,3,1,8,7,6] => [2,4,3,5,1,7,8,6] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [5,3,2,4,1,7,8,6] => [3,2,4,5,1,8,6,7] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [5,2,3,4,1,7,8,6] => [2,3,4,5,1,8,6,7] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [5,2,3,4,1,8,7,6] => [2,3,4,5,1,7,8,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [1,3,4,5,2,7,8,6] => [1,5,2,3,4,8,6,7] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [1,3,4,5,2,8,7,6] => [1,5,2,3,4,7,8,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [1,3,5,4,2,7,8,6] => [1,4,5,2,3,8,6,7] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [1,3,5,4,2,8,7,6] => [1,4,5,2,3,7,8,6] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [1,3,5,4,2,8,7,6] => [1,4,3,5,2,7,8,6] => [1,3,5,2,4,8,6,7] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [1,4,3,5,2,8,7,6] => [1,3,5,2,4,7,8,6] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [1,5,4,3,2,7,8,6] => [1,4,3,5,2,8,6,7] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [1,5,4,3,2,8,7,6] => [1,4,3,5,2,7,8,6] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [1,5,3,4,2,7,8,6] => [1,3,4,5,2,8,6,7] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [1,5,3,4,2,8,7,6] => [1,3,4,5,2,7,8,6] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [1,2,4,5,3,7,8,6] => [1,2,5,3,4,8,6,7] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [1,2,4,5,3,8,7,6] => [1,2,5,3,4,7,8,6] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [1,2,5,4,3,7,8,6] => [1,2,4,5,3,8,6,7] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [1,2,5,4,3,8,7,6] => [1,2,4,5,3,7,8,6] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [1,3,2,5,4,7,8,6] => [1,3,2,5,4,8,6,7] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [1,3,2,5,4,8,7,6] => [1,3,2,5,4,7,8,6] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,1,3,5,4,8,7,6] => [2,1,3,5,4,7,8,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [1,2,3,5,4,7,8,6] => [1,2,3,5,4,8,6,7] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [1,2,3,5,4,8,7,6] => [1,2,3,5,4,7,8,6] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [2,3,4,1,5,7,8,6] => [4,1,2,3,5,8,6,7] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [2,3,4,1,5,8,7,6] => [4,1,2,3,5,7,8,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [3,4,2,1,5,8,7,6] => [2,4,3,1,5,7,8,6] => [3,4,1,2,5,8,6,7] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [3,4,2,1,5,7,8,6] => [2,4,3,1,5,8,7,6] => [3,4,1,2,5,7,8,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [2,4,3,1,5,7,8,6] => [3,2,4,1,5,8,7,6] => [2,4,1,3,5,7,8,6] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [4,3,2,1,5,7,8,6] => [3,2,4,1,5,8,6,7] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [4,3,2,1,5,8,7,6] => [3,2,4,1,5,7,8,6] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [4,2,3,1,5,7,8,6] => [2,3,4,1,5,8,6,7] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [4,2,3,1,5,8,7,6] => [2,3,4,1,5,7,8,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [1,3,4,2,5,7,8,6] => [1,4,2,3,5,8,6,7] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [1,3,4,2,5,8,7,6] => [1,4,2,3,5,7,8,6] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [1,4,3,2,5,7,8,6] => [1,3,4,2,5,8,6,7] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [1,4,3,2,5,8,7,6] => [1,3,4,2,5,7,8,6] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [2,1,4,3,5,7,8,6] => [2,1,4,3,5,8,6,7] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,1,4,3,5,8,7,6] => [2,1,4,3,5,7,8,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [1,2,4,3,5,7,8,6] => [1,2,4,3,5,8,6,7] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [1,2,4,3,5,8,7,6] => [1,2,4,3,5,7,8,6] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [2,3,1,4,5,7,8,6] => [3,1,2,4,5,8,6,7] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [2,3,1,4,5,8,7,6] => [3,1,2,4,5,7,8,6] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [2,3,1,4,5,8,7,6] => [3,2,1,4,5,7,8,6] => [2,3,1,4,5,8,6,7] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [3,2,1,4,5,8,7,6] => [2,3,1,4,5,7,8,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [1,3,2,4,5,7,8,6] => [1,3,2,4,5,8,6,7] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [1,3,2,4,5,8,7,6] => [1,3,2,4,5,7,8,6] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [2,1,3,4,5,7,8,6] => [2,1,3,4,5,8,6,7] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,1,3,4,5,8,7,6] => [2,1,3,4,5,7,8,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,6,7] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,8,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [2,3,4,5,6,1,8,7] => [6,1,2,3,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [2,3,4,6,5,1,8,7] => [5,6,1,2,3,4,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [2,3,6,5,4,1,8,7] => [5,4,6,1,2,3,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [2,3,6,4,5,1,8,7] => [4,5,6,1,2,3,8,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [2,4,3,5,6,1,8,7] => [3,6,1,2,4,5,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [2,4,3,6,5,1,8,7] => [3,5,6,1,2,4,8,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [2,5,3,4,6,1,8,7] => [3,4,6,1,2,5,8,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [2,6,5,4,3,1,8,7] => [4,5,3,6,1,2,8,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [3,5,4,6,2,1,8,7] => [2,6,3,5,4,1,8,7] => [3,5,4,6,1,2,8,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [2,6,4,3,5,1,8,7] => [4,3,5,6,1,2,8,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7] => [2,6,3,4,5,1,8,7] => [3,4,5,6,1,2,8,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [3,2,4,6,5,1,8,7] => [2,5,6,1,3,4,8,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [3,2,5,4,6,1,8,7] => [2,4,6,1,3,5,8,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [2,5,4,6,3,1,8,7] => [3,2,6,5,4,1,8,7] => [2,5,4,6,1,3,8,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [2,4,5,6,3,1,8,7] => [3,2,6,4,5,1,8,7] => [2,4,5,6,1,3,8,7] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,3,2,5,6,1,8,7] => [3,2,6,1,4,5,8,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,3,5,6,1,8,7] => [2,3,6,1,4,5,8,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [4,2,3,6,5,1,8,7] => [2,3,5,6,1,4,8,7] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [5,3,4,2,6,1,8,7] => [4,2,3,6,1,5,8,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [5,2,4,3,6,1,8,7] => [2,4,3,6,1,5,8,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [3,2,4,6,5,1,8,7] => [5,3,2,4,6,1,8,7] => [3,2,4,6,1,5,8,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [6,3,4,5,2,1,8,7] => [5,2,3,4,6,1,8,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7] => [6,3,5,4,2,1,8,7] => [4,5,2,3,6,1,8,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [6,4,3,5,2,1,8,7] => [3,5,2,4,6,1,8,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [6,5,4,3,2,1,8,7] => [4,3,5,2,6,1,8,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [6,5,3,4,2,1,8,7] => [3,4,5,2,6,1,8,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,3,6,1,8,7] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [6,3,2,5,4,1,8,7] => [3,2,5,4,6,1,8,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [6,3,4,2,5,1,8,7] => [4,2,3,5,6,1,8,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,2,5,6,1,8,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [6,2,4,3,5,1,8,7] => [2,4,3,5,6,1,8,7] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [6,2,3,4,5,1,8,7] => [2,3,4,5,6,1,8,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [1,3,4,5,6,2,8,7] => [1,6,2,3,4,5,8,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [1,3,4,6,5,2,8,7] => [1,5,6,2,3,4,8,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [1,4,5,6,3,2,8,7] => [1,3,6,4,5,2,8,7] => [1,4,5,6,2,3,8,7] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [1,3,4,6,5,2,8,7] => [1,5,3,4,6,2,8,7] => [1,3,4,6,2,5,8,7] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [2,1,4,5,6,3,8,7] => [2,1,6,3,4,5,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [2,1,4,6,5,3,8,7] => [2,1,5,6,3,4,8,7] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [2,1,5,4,6,3,8,7] => [2,1,4,6,3,5,8,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [2,1,6,5,4,3,8,7] => [2,1,5,4,6,3,8,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,1,6,4,5,3,8,7] => [2,1,4,5,6,3,8,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [1,2,6,5,4,3,8,7] => [1,2,4,5,6,3,8,7] => [1,2,6,3,4,5,8,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [1,2,5,6,4,3,8,7] => [1,2,4,6,5,3,8,7] => [1,2,5,6,3,4,8,7] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [1,2,4,6,5,3,8,7] => [1,2,5,4,6,3,8,7] => [1,2,4,6,3,5,8,7] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => [2,3,1,5,6,4,8,7] => [3,1,2,6,4,5,8,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [1,3,2,6,5,4,8,7] => [1,3,2,5,6,4,8,7] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [2,1,3,6,5,4,8,7] => [2,1,3,5,6,4,8,7] => [2,1,3,6,4,5,8,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,1,3,6,5,4,8,7] => [2,1,3,5,6,4,8,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [1,2,3,5,6,4,8,7] => [1,2,3,6,4,5,8,7] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [1,2,3,6,5,4,8,7] => [1,2,3,5,6,4,8,7] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [2,3,4,1,6,5,8,7] => [4,1,2,3,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [2,4,3,1,6,5,8,7] => [3,4,1,2,6,5,8,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,4,1,6,5,8,7] => [2,4,1,3,6,5,8,7] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => [3,2,4,1,6,5,8,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [4,2,3,1,6,5,8,7] => [2,3,4,1,6,5,8,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,4,3,2,6,5,8,7] => [1,3,4,2,6,5,8,7] => [1,4,2,3,6,5,8,7] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [1,4,3,2,6,5,8,7] => [1,3,4,2,6,5,8,7] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [3,2,1,4,6,5,8,7] => [2,3,1,4,6,5,8,7] => [3,1,2,4,6,5,8,7] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [3,2,1,4,6,5,8,7] => [2,3,1,4,6,5,8,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [1,3,2,4,6,5,8,7] => [1,3,2,4,6,5,8,7] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,1,3,4,6,5,8,7] => [2,1,3,4,6,5,8,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [2,3,4,5,1,6,8,7] => [5,1,2,3,4,6,8,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [2,4,3,5,1,6,8,7] => [3,5,1,2,4,6,8,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [4,3,2,5,1,6,8,7] => [3,2,5,1,4,6,8,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [4,3,2,5,1,6,8,7] => [5,3,4,2,1,6,8,7] => [4,2,3,5,1,6,8,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [5,2,4,3,1,6,8,7] => [2,4,3,5,1,6,8,7] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [5,2,3,4,1,6,8,7] => [2,3,4,5,1,6,8,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [1,5,4,3,2,6,8,7] => [1,3,4,5,2,6,8,7] => [1,5,2,3,4,6,8,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [1,4,3,5,2,6,8,7] => [1,3,5,2,4,6,8,7] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => [2,1,4,5,3,6,8,7] => [2,1,5,3,4,6,8,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,1,5,4,3,6,8,7] => [2,1,4,5,3,6,8,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [1,2,4,5,3,6,8,7] => [1,2,5,3,4,6,8,7] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,1,3,5,4,6,8,7] => [2,1,3,5,4,6,8,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [1,2,3,5,4,6,8,7] => [1,2,3,5,4,6,8,7] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [2,3,4,1,5,6,8,7] => [4,1,2,3,5,6,8,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [3,4,2,1,5,6,8,7] => [2,4,3,1,5,6,8,7] => [3,4,1,2,5,6,8,7] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [4,3,2,1,5,6,8,7] => [3,2,4,1,5,6,8,7] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [4,2,3,1,5,6,8,7] => [2,3,4,1,5,6,8,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [1,3,4,2,5,6,8,7] => [1,4,2,3,5,6,8,7] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [1,4,3,2,5,6,8,7] => [1,3,4,2,5,6,8,7] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,1,4,3,5,6,8,7] => [2,1,4,3,5,6,8,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [2,3,1,4,5,6,8,7] => [3,1,2,4,5,6,8,7] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [3,2,1,4,5,6,8,7] => [2,3,1,4,5,6,8,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,1,8] => [7,1,2,3,4,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [2,3,4,5,7,6,1,8] => [6,7,1,2,3,4,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [2,3,4,6,5,7,1,8] => [5,7,1,2,3,4,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [2,3,4,7,6,5,1,8] => [6,5,7,1,2,3,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [2,3,4,7,5,6,1,8] => [5,6,7,1,2,3,4,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => [2,3,5,4,7,6,1,8] => [4,6,7,1,2,3,5,8] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [2,3,7,6,5,4,1,8] => [5,6,4,7,1,2,3,8] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [2,3,7,4,6,5,1,8] => [4,6,5,7,1,2,3,8] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [2,3,7,5,4,6,1,8] => [5,4,6,7,1,2,3,8] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [2,3,7,4,5,6,1,8] => [4,5,6,7,1,2,3,8] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [3,7,6,5,4,2,1,8] => [2,4,3,5,6,7,1,8] => [3,7,1,2,4,5,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [2,4,3,6,5,7,1,8] => [3,5,7,1,2,4,6,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [3,5,6,7,4,2,1,8] => [2,4,3,7,5,6,1,8] => [3,5,6,7,1,2,4,8] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [4,5,3,7,6,2,1,8] => [2,6,5,4,3,7,1,8] => [4,5,3,7,1,2,6,8] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [2,7,4,5,6,3,1,8] => [6,3,4,5,7,1,2,8] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [2,7,4,6,5,3,1,8] => [5,6,3,4,7,1,2,8] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => [2,7,4,3,6,5,1,8] => [4,3,6,5,7,1,2,8] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [2,7,3,4,5,6,1,8] => [3,4,5,6,7,1,2,8] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [3,2,4,5,6,7,1,8] => [2,7,1,3,4,5,6,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [3,2,4,5,7,6,1,8] => [2,6,7,1,3,4,5,8] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [2,6,5,7,4,3,1,8] => [3,2,4,7,6,5,1,8] => [2,6,5,7,1,3,4,8] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [3,2,5,4,7,6,1,8] => [2,4,6,7,1,3,5,8] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [3,2,7,6,5,4,1,8] => [2,5,6,4,7,1,3,8] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [3,2,7,5,4,6,1,8] => [2,5,4,6,7,1,3,8] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [3,2,7,4,5,6,1,8] => [2,4,5,6,7,1,3,8] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,3,2,6,5,7,1,8] => [3,2,5,7,1,4,6,8] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [4,3,2,7,6,5,1,8] => [3,2,6,5,7,1,4,8] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [4,2,3,5,6,7,1,8] => [2,3,7,1,4,5,6,8] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [4,2,3,5,7,6,1,8] => [2,3,6,7,1,4,5,8] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [4,2,3,7,5,6,1,8] => [2,3,5,6,7,1,4,8] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [5,4,3,2,6,7,1,8] => [3,4,2,7,1,5,6,8] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [5,4,3,2,7,6,1,8] => [3,4,2,6,7,1,5,8] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [5,2,3,4,6,7,1,8] => [2,3,4,7,1,5,6,8] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [5,2,3,4,7,6,1,8] => [2,3,4,6,7,1,5,8] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [6,3,4,5,2,7,1,8] => [5,2,3,4,7,1,6,8] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [6,3,5,4,2,7,1,8] => [4,5,2,3,7,1,6,8] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [6,4,3,5,2,7,1,8] => [3,5,2,4,7,1,6,8] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [6,5,4,3,2,7,1,8] => [4,3,5,2,7,1,6,8] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [6,3,2,5,4,7,1,8] => [3,2,5,4,7,1,6,8] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [6,2,3,4,5,7,1,8] => [2,3,4,5,7,1,6,8] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [7,3,4,5,6,2,1,8] => [6,2,3,4,5,7,1,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [7,3,6,5,4,2,1,8] => [5,4,6,2,3,7,1,8] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [3,6,5,4,2,7,1,8] => [7,4,3,5,6,2,1,8] => [3,6,2,4,5,7,1,8] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [7,4,3,6,5,2,1,8] => [3,5,6,2,4,7,1,8] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [4,3,6,5,2,7,1,8] => [7,5,4,3,6,2,1,8] => [4,3,6,2,5,7,1,8] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [7,6,4,5,3,2,1,8] => [5,3,4,6,2,7,1,8] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [7,6,5,4,3,2,1,8] => [4,5,3,6,2,7,1,8] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [7,6,3,5,4,2,1,8] => [3,5,4,6,2,7,1,8] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [7,6,4,3,5,2,1,8] => [4,3,5,6,2,7,1,8] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,2,7,1,8] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [2,4,6,5,3,7,1,8] => [7,2,5,4,6,3,1,8] => [2,4,6,3,5,7,1,8] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [7,2,6,5,4,3,1,8] => [2,5,4,6,3,7,1,8] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [2,4,5,6,3,7,1,8] => [7,2,6,4,5,3,1,8] => [2,4,5,6,3,7,1,8] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,4,7,1,8] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [7,4,3,2,6,5,1,8] => [3,4,2,6,5,7,1,8] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [7,2,4,3,6,5,1,8] => [2,4,3,6,5,7,1,8] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [7,2,3,4,6,5,1,8] => [2,3,4,6,5,7,1,8] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [7,3,4,5,2,6,1,8] => [5,2,3,4,6,7,1,8] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [4,5,3,2,6,7,1,8] => [7,3,5,4,2,6,1,8] => [4,5,2,3,6,7,1,8] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => [7,2,4,5,3,6,1,8] => [2,5,3,4,6,7,1,8] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [7,2,3,5,4,6,1,8] => [2,3,5,4,6,7,1,8] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [7,4,3,2,5,6,1,8] => [3,4,2,5,6,7,1,8] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [7,3,2,4,5,6,1,8] => [3,2,4,5,6,7,1,8] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,7,1,8] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [1,3,4,5,6,7,2,8] => [1,7,2,3,4,5,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [1,3,4,5,7,6,2,8] => [1,6,7,2,3,4,5,8] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [1,5,7,6,4,3,2,8] => [1,3,4,6,5,7,2,8] => [1,5,7,2,3,4,6,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [1,3,5,4,6,7,2,8] => [1,4,7,2,3,5,6,8] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [1,3,5,4,7,6,2,8] => [1,4,6,7,2,3,5,8] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [1,4,5,7,6,3,2,8] => [1,3,6,4,5,7,2,8] => [1,4,5,7,2,3,6,8] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8] => [1,3,7,6,5,4,2,8] => [1,5,6,4,7,2,3,8] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [1,3,7,4,6,5,2,8] => [1,4,6,5,7,2,3,8] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8] => [1,3,7,4,5,6,2,8] => [1,4,5,6,7,2,3,8] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [1,4,3,5,6,7,2,8] => [1,3,7,2,4,5,6,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [1,4,3,6,5,7,2,8] => [1,3,5,7,2,4,6,8] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [1,4,3,7,6,5,2,8] => [1,3,6,5,7,2,4,8] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [1,4,3,7,5,6,2,8] => [1,3,5,6,7,2,4,8] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [1,5,3,4,7,6,2,8] => [1,3,4,6,7,2,5,8] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [1,4,5,3,7,6,2,8] => [1,6,5,4,3,7,2,8] => [1,4,5,3,7,2,6,8] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [1,6,3,5,4,7,2,8] => [1,3,5,4,7,2,6,8] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [1,6,3,4,5,7,2,8] => [1,3,4,5,7,2,6,8] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [1,5,6,4,3,7,2,8] => [1,7,4,6,5,3,2,8] => [1,5,6,3,4,7,2,8] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [1,7,6,5,4,3,2,8] => [1,5,4,6,3,7,2,8] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,4,5,6,3,7,2,8] => [1,7,6,4,5,3,2,8] => [1,4,5,6,3,7,2,8] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,4,7,2,8] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [1,7,4,3,6,5,2,8] => [1,4,3,6,5,7,2,8] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [1,7,3,4,6,5,2,8] => [1,3,4,6,5,7,2,8] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [1,7,5,4,3,6,2,8] => [1,4,5,3,6,7,2,8] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,3,5,4,6,7,2,8] => [1,7,3,5,4,6,2,8] => [1,3,5,4,6,7,2,8] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [1,7,3,4,5,6,2,8] => [1,3,4,5,6,7,2,8] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [2,1,4,5,6,7,3,8] => [2,1,7,3,4,5,6,8] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [2,1,5,4,7,6,3,8] => [2,1,4,6,7,3,5,8] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [2,1,7,4,5,6,3,8] => [2,1,4,5,6,7,3,8] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [1,2,4,5,6,7,3,8] => [1,2,7,3,4,5,6,8] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [1,2,4,5,7,6,3,8] => [1,2,6,7,3,4,5,8] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [1,2,4,6,5,7,3,8] => [1,2,5,7,3,4,6,8] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [1,2,4,7,6,5,3,8] => [1,2,5,4,6,7,3,8] => [1,2,4,7,3,5,6,8] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [1,2,5,4,7,6,3,8] => [1,2,4,6,7,3,5,8] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [1,2,7,6,5,4,3,8] => [1,2,5,6,4,7,3,8] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,2,4,6,5,7,3,8] => [1,2,7,4,6,5,3,8] => [1,2,4,6,5,7,3,8] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [1,2,7,5,4,6,3,8] => [1,2,5,4,6,7,3,8] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [1,2,7,4,5,6,3,8] => [1,2,4,5,6,7,3,8] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [2,3,1,5,6,7,4,8] => [3,1,2,7,4,5,6,8] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [2,3,1,6,5,7,4,8] => [3,1,2,5,7,4,6,8] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [2,3,1,7,5,6,4,8] => [3,1,2,5,6,7,4,8] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,2,1,7,6,5,4,8] => [2,3,1,6,5,7,4,8] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [3,2,1,7,5,6,4,8] => [2,3,1,5,6,7,4,8] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [1,3,2,5,6,7,4,8] => [1,3,2,7,4,5,6,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [1,3,2,5,7,6,4,8] => [1,3,2,6,7,4,5,8] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [1,3,2,6,5,7,4,8] => [1,3,2,5,7,4,6,8] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [1,3,2,7,6,5,4,8] => [1,3,2,6,5,7,4,8] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [1,3,2,7,5,6,4,8] => [1,3,2,5,6,7,4,8] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [1,2,3,5,6,7,4,8] => [1,2,3,7,4,5,6,8] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [1,2,3,5,7,6,4,8] => [1,2,3,6,7,4,5,8] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [1,2,3,6,5,7,4,8] => [1,2,3,5,7,4,6,8] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [1,2,3,7,6,5,4,8] => [1,2,3,6,5,7,4,8] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [1,2,3,7,5,6,4,8] => [1,2,3,5,6,7,4,8] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [2,3,4,1,6,7,5,8] => [4,1,2,3,7,5,6,8] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [2,3,4,1,7,6,5,8] => [4,1,2,3,6,7,5,8] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [4,3,2,1,6,7,5,8] => [3,2,4,1,7,5,6,8] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [4,3,2,1,7,6,5,8] => [3,2,4,1,6,7,5,8] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [4,2,3,1,6,7,5,8] => [2,3,4,1,7,5,6,8] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [4,2,3,1,7,6,5,8] => [2,3,4,1,6,7,5,8] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [1,3,4,2,6,7,5,8] => [1,4,2,3,7,5,6,8] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [1,3,4,2,7,6,5,8] => [1,4,2,3,6,7,5,8] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [1,4,3,2,7,6,5,8] => [1,3,4,2,6,7,5,8] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [2,1,4,3,6,7,5,8] => [2,1,4,3,7,6,5,8] => [2,1,4,3,6,7,5,8] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [1,2,4,3,7,6,5,8] => [1,2,4,3,6,7,5,8] => [1,2,4,3,7,5,6,8] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [1,2,4,3,7,6,5,8] => [1,2,4,3,6,7,5,8] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [2,3,1,4,6,7,5,8] => [3,1,2,4,7,5,6,8] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [3,2,1,4,7,6,5,8] => [2,3,1,4,6,7,5,8] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,3,2,4,6,7,5,8] => [1,3,2,4,7,6,5,8] => [1,3,2,4,6,7,5,8] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [1,2,3,4,6,7,5,8] => [1,2,3,4,7,5,6,8] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [1,2,3,4,7,6,5,8] => [1,2,3,4,6,7,5,8] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [2,3,5,4,1,7,6,8] => [4,5,1,2,3,7,6,8] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [2,4,3,5,1,7,6,8] => [3,5,1,2,4,7,6,8] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [4,3,5,2,1,7,6,8] => [2,5,4,3,1,7,6,8] => [4,3,5,1,2,7,6,8] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,5,4,1,7,6,8] => [2,4,5,1,3,7,6,8] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [4,3,2,5,1,7,6,8] => [3,2,5,1,4,7,6,8] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [4,2,3,5,1,7,6,8] => [2,3,5,1,4,7,6,8] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [5,4,3,2,1,7,6,8] => [3,4,2,5,1,7,6,8] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [5,2,4,3,1,7,6,8] => [2,4,3,5,1,7,6,8] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [5,2,3,4,1,7,6,8] => [2,3,4,5,1,7,6,8] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [1,3,4,5,2,7,6,8] => [1,5,2,3,4,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [1,3,5,4,2,7,6,8] => [1,4,5,2,3,7,6,8] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [1,4,3,5,2,7,6,8] => [1,3,5,2,4,7,6,8] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [1,5,4,3,2,7,6,8] => [1,4,3,5,2,7,6,8] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [1,5,3,4,2,7,6,8] => [1,3,4,5,2,7,6,8] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [1,2,5,4,3,7,6,8] => [1,2,4,5,3,7,6,8] => [1,2,5,3,4,7,6,8] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [1,2,5,4,3,7,6,8] => [1,2,4,5,3,7,6,8] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [2,3,1,5,4,7,6,8] => [3,1,2,5,4,7,6,8] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [3,2,1,5,4,7,6,8] => [2,3,1,5,4,7,6,8] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [2,3,4,1,5,7,6,8] => [4,1,2,3,5,7,6,8] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [3,4,2,1,5,7,6,8] => [2,4,3,1,5,7,6,8] => [3,4,1,2,5,7,6,8] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [4,3,2,1,5,7,6,8] => [3,2,4,1,5,7,6,8] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [4,2,3,1,5,7,6,8] => [2,3,4,1,5,7,6,8] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [1,3,4,2,5,7,6,8] => [1,4,2,3,5,7,6,8] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [1,4,3,2,5,7,6,8] => [1,3,4,2,5,7,6,8] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8] => [2,3,1,4,5,7,6,8] => [3,1,2,4,5,7,6,8] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [3,2,1,4,5,7,6,8] => [2,3,1,4,5,7,6,8] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [2,1,3,4,5,7,6,8] => [2,1,3,4,5,7,6,8] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [2,3,4,5,6,1,7,8] => [6,1,2,3,4,5,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [2,3,6,4,5,1,7,8] => [4,5,6,1,2,3,7,8] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [2,4,3,5,6,1,7,8] => [3,6,1,2,4,5,7,8] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [3,5,6,4,2,1,7,8] => [2,4,3,6,5,1,7,8] => [3,5,6,1,2,4,7,8] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [4,3,5,6,2,1,7,8] => [2,6,4,3,5,1,7,8] => [4,3,5,6,1,2,7,8] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [2,6,3,4,5,1,7,8] => [3,4,5,6,1,2,7,8] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [3,2,5,4,6,1,7,8] => [2,4,6,1,3,5,7,8] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8] => [3,2,6,4,5,1,7,8] => [2,4,5,6,1,3,7,8] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [2,3,6,5,4,1,7,8] => [4,2,3,5,6,1,7,8] => [2,3,6,1,4,5,7,8] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [4,2,3,6,5,1,7,8] => [2,3,5,6,1,4,7,8] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [5,2,3,4,6,1,7,8] => [2,3,4,6,1,5,7,8] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [6,3,4,5,2,1,7,8] => [5,2,3,4,6,1,7,8] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [6,5,4,3,2,1,7,8] => [4,3,5,2,6,1,7,8] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [6,5,3,4,2,1,7,8] => [3,4,5,2,6,1,7,8] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [6,2,3,5,4,1,7,8] => [2,3,5,4,6,1,7,8] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [6,3,4,2,5,1,7,8] => [4,2,3,5,6,1,7,8] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [6,4,3,2,5,1,7,8] => [3,4,2,5,6,1,7,8] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [6,3,2,4,5,1,7,8] => [3,2,4,5,6,1,7,8] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [6,2,3,4,5,1,7,8] => [2,3,4,5,6,1,7,8] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [1,3,4,5,6,2,7,8] => [1,6,2,3,4,5,7,8] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [1,3,4,6,5,2,7,8] => [1,5,6,2,3,4,7,8] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => [1,3,5,4,6,2,7,8] => [1,4,6,2,3,5,7,8] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [1,3,6,5,4,2,7,8] => [1,5,4,6,2,3,7,8] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [1,3,6,5,4,2,7,8] => [1,4,3,5,6,2,7,8] => [1,3,6,2,4,5,7,8] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [1,4,3,6,5,2,7,8] => [1,3,5,6,2,4,7,8] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [1,5,4,3,6,2,7,8] => [1,4,3,6,2,5,7,8] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [1,3,4,6,5,2,7,8] => [1,5,3,4,6,2,7,8] => [1,3,4,6,2,5,7,8] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [1,6,4,5,3,2,7,8] => [1,5,3,4,6,2,7,8] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [1,6,5,4,3,2,7,8] => [1,4,5,3,6,2,7,8] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,3,5,4,6,2,7,8] => [1,6,3,5,4,2,7,8] => [1,3,5,4,6,2,7,8] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => [1,6,4,3,5,2,7,8] => [1,4,3,5,6,2,7,8] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [1,6,3,4,5,2,7,8] => [1,3,4,5,6,2,7,8] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [2,1,4,6,5,3,7,8] => [2,1,5,6,3,4,7,8] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [2,1,5,4,6,3,7,8] => [2,1,4,6,3,5,7,8] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [1,2,4,5,6,3,7,8] => [1,2,6,3,4,5,7,8] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [1,2,4,6,5,3,7,8] => [1,2,5,6,3,4,7,8] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [1,2,5,4,6,3,7,8] => [1,2,4,6,3,5,7,8] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [1,2,6,4,5,3,7,8] => [1,2,4,5,6,3,7,8] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [2,3,1,6,5,4,7,8] => [3,1,2,5,6,4,7,8] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [3,2,1,5,6,4,7,8] => [2,3,1,6,4,5,7,8] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [3,2,1,6,5,4,7,8] => [2,3,1,5,6,4,7,8] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [1,3,2,5,6,4,7,8] => [1,3,2,6,4,5,7,8] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [1,3,2,6,5,4,7,8] => [1,3,2,5,6,4,7,8] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [2,1,3,6,5,4,7,8] => [2,1,3,5,6,4,7,8] => [2,1,3,6,4,5,7,8] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [1,2,3,5,6,4,7,8] => [1,2,3,6,4,5,7,8] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [1,2,3,6,5,4,7,8] => [1,2,3,5,6,4,7,8] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [2,3,4,1,6,5,7,8] => [4,1,2,3,6,5,7,8] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [3,4,2,1,6,5,7,8] => [2,4,3,1,6,5,7,8] => [3,4,1,2,6,5,7,8] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8] => [3,2,4,1,6,5,7,8] => [2,4,1,3,6,5,7,8] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [4,3,2,1,6,5,7,8] => [3,2,4,1,6,5,7,8] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [4,2,3,1,6,5,7,8] => [2,3,4,1,6,5,7,8] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,1,4,3,6,5,7,8] => [2,1,4,3,6,5,7,8] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [1,3,2,4,6,5,7,8] => [1,3,2,4,6,5,7,8] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [2,1,3,4,6,5,7,8] => [2,1,3,4,6,5,7,8] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [2,3,4,5,1,6,7,8] => [5,1,2,3,4,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [2,3,5,4,1,6,7,8] => [4,5,1,2,3,6,7,8] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [2,4,3,5,1,6,7,8] => [3,5,1,2,4,6,7,8] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [2,5,4,3,1,6,7,8] => [4,3,5,1,2,6,7,8] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [2,5,3,4,1,6,7,8] => [3,4,5,1,2,6,7,8] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [3,2,4,5,1,6,7,8] => [2,5,1,3,4,6,7,8] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [3,2,5,4,1,6,7,8] => [2,4,5,1,3,6,7,8] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [4,3,2,5,1,6,7,8] => [3,2,5,1,4,6,7,8] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [4,2,3,5,1,6,7,8] => [2,3,5,1,4,6,7,8] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [5,3,4,2,1,6,7,8] => [4,2,3,5,1,6,7,8] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [5,4,3,2,1,6,7,8] => [3,4,2,5,1,6,7,8] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [5,2,4,3,1,6,7,8] => [2,4,3,5,1,6,7,8] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [5,3,2,4,1,6,7,8] => [3,2,4,5,1,6,7,8] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [5,2,3,4,1,6,7,8] => [2,3,4,5,1,6,7,8] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [1,3,4,5,2,6,7,8] => [1,5,2,3,4,6,7,8] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [1,3,5,4,2,6,7,8] => [1,4,5,2,3,6,7,8] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [1,4,3,5,2,6,7,8] => [1,3,5,2,4,6,7,8] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,4,3,5,2,6,7,8] => [1,5,4,3,2,6,7,8] => [1,4,3,5,2,6,7,8] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [1,5,3,4,2,6,7,8] => [1,3,4,5,2,6,7,8] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [2,1,4,5,3,6,7,8] => [2,1,5,3,4,6,7,8] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [2,1,5,4,3,6,7,8] => [2,1,4,5,3,6,7,8] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [1,2,4,5,3,6,7,8] => [1,2,5,3,4,6,7,8] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,2,4,5,3,6,7,8] => [1,2,5,4,3,6,7,8] => [1,2,4,5,3,6,7,8] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [3,2,1,5,4,6,7,8] => [2,3,1,5,4,6,7,8] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => [2,1,3,5,4,6,7,8] => [2,1,3,5,4,6,7,8] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => [4,1,2,3,5,6,7,8] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [2,4,3,1,5,6,7,8] => [3,4,1,2,5,6,7,8] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [3,2,4,1,5,6,7,8] => [2,4,1,3,5,6,7,8] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [3,2,4,1,5,6,7,8] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [1,3,4,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => [1,3,4,2,5,6,7,8] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [2,1,4,3,5,6,7,8] => [2,1,4,3,5,6,7,8] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1] => [9,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [2,3,4,5,6,7,9,8,1] => [8,9,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [2,3,4,5,6,9,7,8,1] => [7,8,9,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [2,3,4,5,9,6,7,8,1] => [6,7,8,9,1,2,3,4,5] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [2,3,4,9,5,6,7,8,1] => [5,6,7,8,9,1,2,3,4] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [2,3,9,4,5,6,7,8,1] => [4,5,6,7,8,9,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [2,9,3,4,5,6,7,8,1] => [3,4,5,6,7,8,9,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [9,2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,8,9,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [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] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,1] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,10,9,1] => [9,10,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [2,3,4,5,6,8,7,9,1] => [7,9,1,2,3,4,5,6,8] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [2,3,4,5,6,7,10,8,9,1] => [8,9,10,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [2,3,4,5,6,10,7,8,9,1] => [7,8,9,10,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [2,3,4,5,10,6,7,8,9,1] => [6,7,8,9,10,1,2,3,4,5] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [2,3,4,10,5,6,7,8,9,1] => [5,6,7,8,9,10,1,2,3,4] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [2,3,10,4,5,6,7,8,9,1] => [4,5,6,7,8,9,10,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [2,10,3,4,5,6,7,8,9,1] => [3,4,5,6,7,8,9,10,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [1,9,3,4,5,6,7,8,2] => [1,3,4,5,6,7,8,9,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [10,2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,9,10,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [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] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [2,3,4,5,6,9,8,7,1] => [8,7,9,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [9,3,4,5,6,7,8,2,1] => [8,2,3,4,5,6,7,9,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,1,9] => [8,1,2,3,4,5,6,7,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [2,10,4,5,6,7,8,9,3,1] => [9,3,4,5,6,7,8,10,1,2] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [1,3,4,5,6,7,8,2,9] => [1,8,2,3,4,5,6,7,9] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [10,3,4,5,6,7,8,9,2,1] => [9,2,3,4,5,6,7,8,10,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,1,10] => [9,1,2,3,4,5,6,7,8,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [1,6,7,5,8,4,9,3,10,2] => [1,10,9,8,7,6,5,4,3,2] => [1,6,7,5,8,4,9,3,10,2] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [9,8,7,6,5,4,3,2,1,10] => [5,6,4,7,3,8,2,9,1,10] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,1,4,3,6,5,8,7,10,9,12,11] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [2,1,3,4,5,6,7,9,8] => [2,1,3,4,5,6,7,9,8] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [9,3,2,4,5,6,7,8,1] => [3,2,4,5,6,7,8,9,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [2,1,3,4,5,6,7,8,10,9] => [2,1,3,4,5,6,7,8,10,9] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [1,3,2,4,5,6,7,9,8] => [1,3,2,4,5,6,7,9,8] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [2,3,1,4,5,6,7,9,8] => [3,2,1,4,5,6,7,9,8] => [2,3,1,4,5,6,7,9,8] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [9,4,3,2,5,6,7,8,1] => [3,4,2,5,6,7,8,9,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [10,3,2,4,5,6,7,8,9,1] => [3,2,4,5,6,7,8,9,10,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [11,2,3,4,5,6,7,8,9,10,1] => [2,3,4,5,6,7,8,9,10,11,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,9,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,7,8,6] => [1,2,3,4,5,7,8,9,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,6,7,8,5] => [1,2,3,4,6,7,8,9,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,5,6,7,8,4] => [1,2,3,5,6,7,8,9,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [1,2,9,4,5,6,7,8,3] => [1,2,4,5,6,7,8,9,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,7,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,9,10,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,9,8,7,6] => [1,2,3,4,5,8,7,9,6] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,10,8,9,7] => [1,2,3,4,5,6,8,9,10,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,4,7,6,8,9,5] => [1,2,3,4,9,7,6,8,5] => [1,2,3,4,7,6,8,9,5] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,10,7,8,9,6] => [1,2,3,4,5,7,8,9,10,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,2,3,6,5,7,8,9,4] => [1,2,3,9,6,5,7,8,4] => [1,2,3,6,5,7,8,9,4] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,10,6,7,8,9,5] => [1,2,3,4,6,7,8,9,10,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [1,2,5,4,6,7,8,9,3] => [1,2,9,5,4,6,7,8,3] => [1,2,5,4,6,7,8,9,3] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,10,5,6,7,8,9,4] => [1,2,3,5,6,7,8,9,10,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [1,9,4,3,5,6,7,8,2] => [1,4,3,5,6,7,8,9,2] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [1,2,10,4,5,6,7,8,9,3] => [1,2,4,5,6,7,8,9,10,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [1,10,3,4,5,6,7,8,9,2] => [1,3,4,5,6,7,8,9,10,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,2] => [1,9,2,3,4,5,6,7,8] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,8,9,7,6,5,4,3,2] => [1,3,4,5,6,7,9,8,2] => [1,8,9,2,3,4,5,6,7] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,2] => [1,10,2,3,4,5,6,7,8,9] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,1,11] => [10,1,2,3,4,5,6,7,8,9,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,11,2] => [1,11,2,3,4,5,6,7,8,9,10] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [10,9,8,7,6,5,4,3,2,1] => [6,5,7,4,8,3,9,2,10,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [5,4,7,6,8,3,9,2,10,1] => [10,9,8,5,4,7,6,3,2,1] => [5,4,7,6,8,3,9,2,10,1] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [4,3,7,6,8,5,9,2,10,1] => [10,9,4,3,8,7,6,5,2,1] => [4,3,7,6,8,5,9,2,10,1] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [5,4,6,3,8,7,9,2,10,1] => [10,9,6,5,4,3,8,7,2,1] => [5,4,6,3,8,7,9,2,10,1] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [4,3,6,5,8,7,9,2,10,1] => [10,9,4,3,6,5,8,7,2,1] => [4,3,6,5,8,7,9,2,10,1] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [3,2,7,6,8,5,9,4,10,1] => [10,3,2,9,8,7,6,5,4,1] => [3,2,7,6,8,5,9,4,10,1] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [3,2,6,5,8,7,9,4,10,1] => [10,3,2,9,6,5,8,7,4,1] => [3,2,6,5,8,7,9,4,10,1] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [4,3,5,2,8,7,9,6,10,1] => [10,5,4,3,2,9,8,7,6,1] => [4,3,5,2,8,7,9,6,10,1] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [3,2,5,4,8,7,9,6,10,1] => [10,3,2,5,4,9,8,7,6,1] => [3,2,5,4,8,7,9,6,10,1] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [5,4,6,3,7,2,9,8,10,1] => [10,7,6,5,4,3,2,9,8,1] => [5,4,6,3,7,2,9,8,10,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [4,3,6,5,7,2,9,8,10,1] => [10,7,4,3,6,5,2,9,8,1] => [4,3,6,5,7,2,9,8,10,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [3,2,6,5,7,4,9,8,10,1] => [10,3,2,7,6,5,4,9,8,1] => [3,2,6,5,7,4,9,8,10,1] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [4,3,5,2,7,6,9,8,10,1] => [10,5,4,3,2,7,6,9,8,1] => [4,3,5,2,7,6,9,8,10,1] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,9,8,10,1] => [10,3,2,5,4,7,6,9,8,1] => [3,2,5,4,7,6,9,8,10,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [2,1,7,6,8,5,9,4,10,3] => [2,1,10,9,8,7,6,5,4,3] => [2,1,7,6,8,5,9,4,10,3] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [2,1,6,5,8,7,9,4,10,3] => [2,1,10,9,6,5,8,7,4,3] => [2,1,6,5,8,7,9,4,10,3] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [2,1,5,4,8,7,9,6,10,3] => [2,1,10,5,4,9,8,7,6,3] => [2,1,5,4,8,7,9,6,10,3] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [2,1,6,5,7,4,9,8,10,3] => [2,1,10,7,6,5,4,9,8,3] => [2,1,6,5,7,4,9,8,10,3] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [2,1,5,4,7,6,9,8,10,3] => [2,1,10,5,4,7,6,9,8,3] => [2,1,5,4,7,6,9,8,10,3] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [3,2,4,1,8,7,9,6,10,5] => [4,3,2,1,10,9,8,7,6,5] => [3,2,4,1,8,7,9,6,10,5] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [3,2,4,1,7,6,9,8,10,5] => [4,3,2,1,10,7,6,9,8,5] => [3,2,4,1,7,6,9,8,10,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,4,3,8,7,9,6,10,5] => [2,1,4,3,10,9,8,7,6,5] => [2,1,4,3,8,7,9,6,10,5] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,4,3,7,6,9,8,10,5] => [2,1,4,3,10,7,6,9,8,5] => [2,1,4,3,7,6,9,8,10,5] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [4,3,5,2,6,1,9,8,10,7] => [6,5,4,3,2,1,10,9,8,7] => [4,3,5,2,6,1,9,8,10,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [3,2,5,4,6,1,9,8,10,7] => [6,3,2,5,4,1,10,9,8,7] => [3,2,5,4,6,1,9,8,10,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [2,1,5,4,6,3,9,8,10,7] => [2,1,6,5,4,3,10,9,8,7] => [2,1,5,4,6,3,9,8,10,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [3,2,4,1,6,5,9,8,10,7] => [4,3,2,1,6,5,10,9,8,7] => [3,2,4,1,6,5,9,8,10,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,6,5,9,8,10,7] => [2,1,4,3,6,5,10,9,8,7] => [2,1,4,3,6,5,9,8,10,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [5,4,6,3,7,2,8,1,10,9] => [8,7,6,5,4,3,2,1,10,9] => [5,4,6,3,7,2,8,1,10,9] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [4,3,6,5,7,2,8,1,10,9] => [8,7,4,3,6,5,2,1,10,9] => [4,3,6,5,7,2,8,1,10,9] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [3,2,6,5,7,4,8,1,10,9] => [8,3,2,7,6,5,4,1,10,9] => [3,2,6,5,7,4,8,1,10,9] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [4,3,5,2,7,6,8,1,10,9] => [8,5,4,3,2,7,6,1,10,9] => [4,3,5,2,7,6,8,1,10,9] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,7,6,8,1,10,9] => [8,3,2,5,4,7,6,1,10,9] => [3,2,5,4,7,6,8,1,10,9] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [2,1,6,5,7,4,8,3,10,9] => [2,1,8,7,6,5,4,3,10,9] => [2,1,6,5,7,4,8,3,10,9] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [2,1,5,4,7,6,8,3,10,9] => [2,1,8,5,4,7,6,3,10,9] => [2,1,5,4,7,6,8,3,10,9] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [3,2,4,1,7,6,8,5,10,9] => [4,3,2,1,8,7,6,5,10,9] => [3,2,4,1,7,6,8,5,10,9] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,4,3,7,6,8,5,10,9] => [2,1,4,3,8,7,6,5,10,9] => [2,1,4,3,7,6,8,5,10,9] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [4,3,5,2,6,1,8,7,10,9] => [6,5,4,3,2,1,8,7,10,9] => [4,3,5,2,6,1,8,7,10,9] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [3,2,5,4,6,1,8,7,10,9] => [6,3,2,5,4,1,8,7,10,9] => [3,2,5,4,6,1,8,7,10,9] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [2,1,5,4,6,3,8,7,10,9] => [2,1,6,5,4,3,8,7,10,9] => [2,1,5,4,6,3,8,7,10,9] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7,10,9] => [4,3,2,1,6,5,8,7,10,9] => [3,2,4,1,6,5,8,7,10,9] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [12,11,10,9,8,7,6,5,4,3,2,1] => [7,6,8,5,9,4,10,3,11,2,12,1] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]] => [6,5,8,7,9,4,10,3,11,2,12,1] => [12,11,10,9,6,5,8,7,4,3,2,1] => [6,5,8,7,9,4,10,3,11,2,12,1] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]] => [5,4,8,7,9,6,10,3,11,2,12,1] => [12,11,10,5,4,9,8,7,6,3,2,1] => [5,4,8,7,9,6,10,3,11,2,12,1] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]] => [6,5,7,4,9,8,10,3,11,2,12,1] => [12,11,10,7,6,5,4,9,8,3,2,1] => [6,5,7,4,9,8,10,3,11,2,12,1] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]] => [5,4,7,6,9,8,10,3,11,2,12,1] => [12,11,10,5,4,7,6,9,8,3,2,1] => [5,4,7,6,9,8,10,3,11,2,12,1] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]] => [4,3,8,7,9,6,10,5,11,2,12,1] => [12,11,4,3,10,9,8,7,6,5,2,1] => [4,3,8,7,9,6,10,5,11,2,12,1] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]] => [4,3,7,6,9,8,10,5,11,2,12,1] => [12,11,4,3,10,7,6,9,8,5,2,1] => [4,3,7,6,9,8,10,5,11,2,12,1] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]] => [5,4,6,3,9,8,10,7,11,2,12,1] => [12,11,6,5,4,3,10,9,8,7,2,1] => [5,4,6,3,9,8,10,7,11,2,12,1] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]] => [4,3,6,5,9,8,10,7,11,2,12,1] => [12,11,4,3,6,5,10,9,8,7,2,1] => [4,3,6,5,9,8,10,7,11,2,12,1] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]] => [6,5,7,4,8,3,10,9,11,2,12,1] => [12,11,8,7,6,5,4,3,10,9,2,1] => [6,5,7,4,8,3,10,9,11,2,12,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]] => [5,4,7,6,8,3,10,9,11,2,12,1] => [12,11,8,5,4,7,6,3,10,9,2,1] => [5,4,7,6,8,3,10,9,11,2,12,1] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]] => [4,3,7,6,8,5,10,9,11,2,12,1] => [12,11,4,3,8,7,6,5,10,9,2,1] => [4,3,7,6,8,5,10,9,11,2,12,1] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]] => [5,4,6,3,8,7,10,9,11,2,12,1] => [12,11,6,5,4,3,8,7,10,9,2,1] => [5,4,6,3,8,7,10,9,11,2,12,1] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]] => [4,3,6,5,8,7,10,9,11,2,12,1] => [12,11,4,3,6,5,8,7,10,9,2,1] => [4,3,6,5,8,7,10,9,11,2,12,1] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [3,2,8,7,9,6,10,5,11,4,12,1] => [12,3,2,11,10,9,8,7,6,5,4,1] => [3,2,8,7,9,6,10,5,11,4,12,1] => [1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [3,2,7,6,9,8,10,5,11,4,12,1] => [12,3,2,11,10,7,6,9,8,5,4,1] => [3,2,7,6,9,8,10,5,11,4,12,1] => [1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [3,2,6,5,9,8,10,7,11,4,12,1] => [12,3,2,11,6,5,10,9,8,7,4,1] => [3,2,6,5,9,8,10,7,11,4,12,1] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [3,2,7,6,8,5,10,9,11,4,12,1] => [12,3,2,11,8,7,6,5,10,9,4,1] => [3,2,7,6,8,5,10,9,11,4,12,1] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [3,2,6,5,8,7,10,9,11,4,12,1] => [12,3,2,11,6,5,8,7,10,9,4,1] => [3,2,6,5,8,7,10,9,11,4,12,1] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]] => [4,3,5,2,9,8,10,7,11,6,12,1] => [12,5,4,3,2,11,10,9,8,7,6,1] => [4,3,5,2,9,8,10,7,11,6,12,1] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]] => [4,3,5,2,8,7,10,9,11,6,12,1] => [12,5,4,3,2,11,8,7,10,9,6,1] => [4,3,5,2,8,7,10,9,11,6,12,1] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [3,2,5,4,9,8,10,7,11,6,12,1] => [12,3,2,5,4,11,10,9,8,7,6,1] => [3,2,5,4,9,8,10,7,11,6,12,1] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [3,2,5,4,8,7,10,9,11,6,12,1] => [12,3,2,5,4,11,8,7,10,9,6,1] => [3,2,5,4,8,7,10,9,11,6,12,1] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]] => [5,4,6,3,7,2,10,9,11,8,12,1] => [12,7,6,5,4,3,2,11,10,9,8,1] => [5,4,6,3,7,2,10,9,11,8,12,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]] => [4,3,6,5,7,2,10,9,11,8,12,1] => [12,7,4,3,6,5,2,11,10,9,8,1] => [4,3,6,5,7,2,10,9,11,8,12,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,10,9,11,8,12,1] => [12,3,2,7,6,5,4,11,10,9,8,1] => [3,2,6,5,7,4,10,9,11,8,12,1] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]] => [4,3,5,2,7,6,10,9,11,8,12,1] => [12,5,4,3,2,7,6,11,10,9,8,1] => [4,3,5,2,7,6,10,9,11,8,12,1] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [3,2,5,4,7,6,10,9,11,8,12,1] => [12,3,2,5,4,7,6,11,10,9,8,1] => [3,2,5,4,7,6,10,9,11,8,12,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]] => [6,5,7,4,8,3,9,2,11,10,12,1] => [12,9,8,7,6,5,4,3,2,11,10,1] => [6,5,7,4,8,3,9,2,11,10,12,1] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]] => [5,4,7,6,8,3,9,2,11,10,12,1] => [12,9,8,5,4,7,6,3,2,11,10,1] => [5,4,7,6,8,3,9,2,11,10,12,1] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]] => [4,3,7,6,8,5,9,2,11,10,12,1] => [12,9,4,3,8,7,6,5,2,11,10,1] => [4,3,7,6,8,5,9,2,11,10,12,1] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]] => [5,4,6,3,8,7,9,2,11,10,12,1] => [12,9,6,5,4,3,8,7,2,11,10,1] => [5,4,6,3,8,7,9,2,11,10,12,1] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [4,3,6,5,8,7,9,2,11,10,12,1] => [12,9,4,3,6,5,8,7,2,11,10,1] => [4,3,6,5,8,7,9,2,11,10,12,1] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [3,2,7,6,8,5,9,4,11,10,12,1] => [12,3,2,9,8,7,6,5,4,11,10,1] => [3,2,7,6,8,5,9,4,11,10,12,1] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [3,2,6,5,8,7,9,4,11,10,12,1] => [12,3,2,9,6,5,8,7,4,11,10,1] => [3,2,6,5,8,7,9,4,11,10,12,1] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,8,7,9,6,11,10,12,1] => [12,5,4,3,2,9,8,7,6,11,10,1] => [4,3,5,2,8,7,9,6,11,10,12,1] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [3,2,5,4,8,7,9,6,11,10,12,1] => [12,3,2,5,4,9,8,7,6,11,10,1] => [3,2,5,4,8,7,9,6,11,10,12,1] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]] => [5,4,6,3,7,2,9,8,11,10,12,1] => [12,7,6,5,4,3,2,9,8,11,10,1] => [5,4,6,3,7,2,9,8,11,10,12,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [4,3,6,5,7,2,9,8,11,10,12,1] => [12,7,4,3,6,5,2,9,8,11,10,1] => [4,3,6,5,7,2,9,8,11,10,12,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [3,2,6,5,7,4,9,8,11,10,12,1] => [12,3,2,7,6,5,4,9,8,11,10,1] => [3,2,6,5,7,4,9,8,11,10,12,1] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [4,3,5,2,7,6,9,8,11,10,12,1] => [12,5,4,3,2,7,6,9,8,11,10,1] => [4,3,5,2,7,6,9,8,11,10,12,1] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,9,8,11,10,12,1] => [12,3,2,5,4,7,6,9,8,11,10,1] => [3,2,5,4,7,6,9,8,11,10,12,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [2,1,8,7,9,6,10,5,11,4,12,3] => [2,1,12,11,10,9,8,7,6,5,4,3] => [2,1,8,7,9,6,10,5,11,4,12,3] => [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [2,1,7,6,9,8,10,5,11,4,12,3] => [2,1,12,11,10,7,6,9,8,5,4,3] => [2,1,7,6,9,8,10,5,11,4,12,3] => [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [2,1,6,5,9,8,10,7,11,4,12,3] => [2,1,12,11,6,5,10,9,8,7,4,3] => [2,1,6,5,9,8,10,7,11,4,12,3] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [2,1,7,6,8,5,10,9,11,4,12,3] => [2,1,12,11,8,7,6,5,10,9,4,3] => [2,1,7,6,8,5,10,9,11,4,12,3] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [2,1,6,5,8,7,10,9,11,4,12,3] => [2,1,12,11,6,5,8,7,10,9,4,3] => [2,1,6,5,8,7,10,9,11,4,12,3] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [2,1,5,4,9,8,10,7,11,6,12,3] => [2,1,12,5,4,11,10,9,8,7,6,3] => [2,1,5,4,9,8,10,7,11,6,12,3] => [1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [2,1,5,4,8,7,10,9,11,6,12,3] => [2,1,12,5,4,11,8,7,10,9,6,3] => [2,1,5,4,8,7,10,9,11,6,12,3] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,10,9,11,8,12,3] => [2,1,12,7,6,5,4,11,10,9,8,3] => [2,1,6,5,7,4,10,9,11,8,12,3] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [2,1,5,4,7,6,10,9,11,8,12,3] => [2,1,12,5,4,7,6,11,10,9,8,3] => [2,1,5,4,7,6,10,9,11,8,12,3] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [2,1,7,6,8,5,9,4,11,10,12,3] => [2,1,12,9,8,7,6,5,4,11,10,3] => [2,1,7,6,8,5,9,4,11,10,12,3] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [2,1,6,5,8,7,9,4,11,10,12,3] => [2,1,12,9,6,5,8,7,4,11,10,3] => [2,1,6,5,8,7,9,4,11,10,12,3] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [2,1,5,4,8,7,9,6,11,10,12,3] => [2,1,12,5,4,9,8,7,6,11,10,3] => [2,1,5,4,8,7,9,6,11,10,12,3] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [2,1,6,5,7,4,9,8,11,10,12,3] => [2,1,12,7,6,5,4,9,8,11,10,3] => [2,1,6,5,7,4,9,8,11,10,12,3] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [2,1,5,4,7,6,9,8,11,10,12,3] => [2,1,12,5,4,7,6,9,8,11,10,3] => [2,1,5,4,7,6,9,8,11,10,12,3] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [3,2,4,1,9,8,10,7,11,6,12,5] => [4,3,2,1,12,11,10,9,8,7,6,5] => [3,2,4,1,9,8,10,7,11,6,12,5] => [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [3,2,4,1,8,7,10,9,11,6,12,5] => [4,3,2,1,12,11,8,7,10,9,6,5] => [3,2,4,1,8,7,10,9,11,6,12,5] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,4,1,7,6,10,9,11,8,12,5] => [4,3,2,1,12,7,6,11,10,9,8,5] => [3,2,4,1,7,6,10,9,11,8,12,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [3,2,4,1,8,7,9,6,11,10,12,5] => [4,3,2,1,12,9,8,7,6,11,10,5] => [3,2,4,1,8,7,9,6,11,10,12,5] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,4,1,7,6,9,8,11,10,12,5] => [4,3,2,1,12,7,6,9,8,11,10,5] => [3,2,4,1,7,6,9,8,11,10,12,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [2,1,4,3,9,8,10,7,11,6,12,5] => [2,1,4,3,12,11,10,9,8,7,6,5] => [2,1,4,3,9,8,10,7,11,6,12,5] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [2,1,4,3,8,7,10,9,11,6,12,5] => [2,1,4,3,12,11,8,7,10,9,6,5] => [2,1,4,3,8,7,10,9,11,6,12,5] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [2,1,4,3,7,6,10,9,11,8,12,5] => [2,1,4,3,12,7,6,11,10,9,8,5] => [2,1,4,3,7,6,10,9,11,8,12,5] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [2,1,4,3,8,7,9,6,11,10,12,5] => [2,1,4,3,12,9,8,7,6,11,10,5] => [2,1,4,3,8,7,9,6,11,10,12,5] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [2,1,4,3,7,6,9,8,11,10,12,5] => [2,1,4,3,12,7,6,9,8,11,10,5] => [2,1,4,3,7,6,9,8,11,10,12,5] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1,10,9,11,8,12,7] => [6,5,4,3,2,1,12,11,10,9,8,7] => [4,3,5,2,6,1,10,9,11,8,12,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]] => [4,3,5,2,6,1,9,8,11,10,12,7] => [6,5,4,3,2,1,12,9,8,11,10,7] => [4,3,5,2,6,1,9,8,11,10,12,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [3,2,5,4,6,1,10,9,11,8,12,7] => [6,3,2,5,4,1,12,11,10,9,8,7] => [3,2,5,4,6,1,10,9,11,8,12,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1,9,8,11,10,12,7] => [6,3,2,5,4,1,12,9,8,11,10,7] => [3,2,5,4,6,1,9,8,11,10,12,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [2,1,5,4,6,3,10,9,11,8,12,7] => [2,1,6,5,4,3,12,11,10,9,8,7] => [2,1,5,4,6,3,10,9,11,8,12,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,6,3,9,8,11,10,12,7] => [2,1,6,5,4,3,12,9,8,11,10,7] => [2,1,5,4,6,3,9,8,11,10,12,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [3,2,4,1,6,5,10,9,11,8,12,7] => [4,3,2,1,6,5,12,11,10,9,8,7] => [3,2,4,1,6,5,10,9,11,8,12,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [3,2,4,1,6,5,9,8,11,10,12,7] => [4,3,2,1,6,5,12,9,8,11,10,7] => [3,2,4,1,6,5,9,8,11,10,12,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,4,3,6,5,10,9,11,8,12,7] => [2,1,4,3,6,5,12,11,10,9,8,7] => [2,1,4,3,6,5,10,9,11,8,12,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,4,3,6,5,9,8,11,10,12,7] => [2,1,4,3,6,5,12,9,8,11,10,7] => [2,1,4,3,6,5,9,8,11,10,12,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]] => [5,4,6,3,7,2,8,1,11,10,12,9] => [8,7,6,5,4,3,2,1,12,11,10,9] => [5,4,6,3,7,2,8,1,11,10,12,9] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]] => [4,3,6,5,7,2,8,1,11,10,12,9] => [8,7,4,3,6,5,2,1,12,11,10,9] => [4,3,6,5,7,2,8,1,11,10,12,9] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [3,2,6,5,7,4,8,1,11,10,12,9] => [8,3,2,7,6,5,4,1,12,11,10,9] => [3,2,6,5,7,4,8,1,11,10,12,9] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [4,3,5,2,7,6,8,1,11,10,12,9] => [8,5,4,3,2,7,6,1,12,11,10,9] => [4,3,5,2,7,6,8,1,11,10,12,9] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [3,2,5,4,7,6,8,1,11,10,12,9] => [8,3,2,5,4,7,6,1,12,11,10,9] => [3,2,5,4,7,6,8,1,11,10,12,9] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [2,1,6,5,7,4,8,3,11,10,12,9] => [2,1,8,7,6,5,4,3,12,11,10,9] => [2,1,6,5,7,4,8,3,11,10,12,9] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [2,1,5,4,7,6,8,3,11,10,12,9] => [2,1,8,5,4,7,6,3,12,11,10,9] => [2,1,5,4,7,6,8,3,11,10,12,9] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5,11,10,12,9] => [4,3,2,1,8,7,6,5,12,11,10,9] => [3,2,4,1,7,6,8,5,11,10,12,9] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5,11,10,12,9] => [2,1,4,3,8,7,6,5,12,11,10,9] => [2,1,4,3,7,6,8,5,11,10,12,9] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]] => [4,3,5,2,6,1,8,7,11,10,12,9] => [6,5,4,3,2,1,8,7,12,11,10,9] => [4,3,5,2,6,1,8,7,11,10,12,9] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [3,2,5,4,6,1,8,7,11,10,12,9] => [6,3,2,5,4,1,8,7,12,11,10,9] => [3,2,5,4,6,1,8,7,11,10,12,9] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3,8,7,11,10,12,9] => [2,1,6,5,4,3,8,7,12,11,10,9] => [2,1,5,4,6,3,8,7,11,10,12,9] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [3,2,4,1,6,5,8,7,11,10,12,9] => [4,3,2,1,6,5,8,7,12,11,10,9] => [3,2,4,1,6,5,8,7,11,10,12,9] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,6,5,8,7,11,10,12,9] => [2,1,4,3,6,5,8,7,12,11,10,9] => [2,1,4,3,6,5,8,7,11,10,12,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]] => [6,5,7,4,8,3,9,2,10,1,12,11] => [10,9,8,7,6,5,4,3,2,1,12,11] => [6,5,7,4,8,3,9,2,10,1,12,11] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]] => [5,4,7,6,8,3,9,2,10,1,12,11] => [10,9,8,5,4,7,6,3,2,1,12,11] => [5,4,7,6,8,3,9,2,10,1,12,11] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]] => [4,3,7,6,8,5,9,2,10,1,12,11] => [10,9,4,3,8,7,6,5,2,1,12,11] => [4,3,7,6,8,5,9,2,10,1,12,11] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]] => [5,4,6,3,8,7,9,2,10,1,12,11] => [10,9,6,5,4,3,8,7,2,1,12,11] => [5,4,6,3,8,7,9,2,10,1,12,11] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]] => [4,3,6,5,8,7,9,2,10,1,12,11] => [10,9,4,3,6,5,8,7,2,1,12,11] => [4,3,6,5,8,7,9,2,10,1,12,11] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [3,2,7,6,8,5,9,4,10,1,12,11] => [10,3,2,9,8,7,6,5,4,1,12,11] => [3,2,7,6,8,5,9,4,10,1,12,11] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [3,2,6,5,8,7,9,4,10,1,12,11] => [10,3,2,9,6,5,8,7,4,1,12,11] => [3,2,6,5,8,7,9,4,10,1,12,11] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,8,7,9,6,10,1,12,11] => [10,5,4,3,2,9,8,7,6,1,12,11] => [4,3,5,2,8,7,9,6,10,1,12,11] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [3,2,5,4,8,7,9,6,10,1,12,11] => [10,3,2,5,4,9,8,7,6,1,12,11] => [3,2,5,4,8,7,9,6,10,1,12,11] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]] => [5,4,6,3,7,2,9,8,10,1,12,11] => [10,7,6,5,4,3,2,9,8,1,12,11] => [5,4,6,3,7,2,9,8,10,1,12,11] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [4,3,6,5,7,2,9,8,10,1,12,11] => [10,7,4,3,6,5,2,9,8,1,12,11] => [4,3,6,5,7,2,9,8,10,1,12,11] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [3,2,6,5,7,4,9,8,10,1,12,11] => [10,3,2,7,6,5,4,9,8,1,12,11] => [3,2,6,5,7,4,9,8,10,1,12,11] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => [4,3,5,2,7,6,9,8,10,1,12,11] => [10,5,4,3,2,7,6,9,8,1,12,11] => [4,3,5,2,7,6,9,8,10,1,12,11] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,7,6,9,8,10,1,12,11] => [10,3,2,5,4,7,6,9,8,1,12,11] => [3,2,5,4,7,6,9,8,10,1,12,11] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [2,1,7,6,8,5,9,4,10,3,12,11] => [2,1,10,9,8,7,6,5,4,3,12,11] => [2,1,7,6,8,5,9,4,10,3,12,11] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [2,1,6,5,8,7,9,4,10,3,12,11] => [2,1,10,9,6,5,8,7,4,3,12,11] => [2,1,6,5,8,7,9,4,10,3,12,11] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [2,1,5,4,8,7,9,6,10,3,12,11] => [2,1,10,5,4,9,8,7,6,3,12,11] => [2,1,5,4,8,7,9,6,10,3,12,11] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [2,1,6,5,7,4,9,8,10,3,12,11] => [2,1,10,7,6,5,4,9,8,3,12,11] => [2,1,6,5,7,4,9,8,10,3,12,11] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [2,1,5,4,7,6,9,8,10,3,12,11] => [2,1,10,5,4,7,6,9,8,3,12,11] => [2,1,5,4,7,6,9,8,10,3,12,11] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [3,2,4,1,8,7,9,6,10,5,12,11] => [4,3,2,1,10,9,8,7,6,5,12,11] => [3,2,4,1,8,7,9,6,10,5,12,11] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,4,1,7,6,9,8,10,5,12,11] => [4,3,2,1,10,7,6,9,8,5,12,11] => [3,2,4,1,7,6,9,8,10,5,12,11] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [2,1,4,3,8,7,9,6,10,5,12,11] => [2,1,4,3,10,9,8,7,6,5,12,11] => [2,1,4,3,8,7,9,6,10,5,12,11] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [2,1,4,3,7,6,9,8,10,5,12,11] => [2,1,4,3,10,7,6,9,8,5,12,11] => [2,1,4,3,7,6,9,8,10,5,12,11] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]] => [4,3,5,2,6,1,9,8,10,7,12,11] => [6,5,4,3,2,1,10,9,8,7,12,11] => [4,3,5,2,6,1,9,8,10,7,12,11] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [3,2,5,4,6,1,9,8,10,7,12,11] => [6,3,2,5,4,1,10,9,8,7,12,11] => [3,2,5,4,6,1,9,8,10,7,12,11] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,9,8,10,7,12,11] => [2,1,6,5,4,3,10,9,8,7,12,11] => [2,1,5,4,6,3,9,8,10,7,12,11] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5,9,8,10,7,12,11] => [4,3,2,1,6,5,10,9,8,7,12,11] => [3,2,4,1,6,5,9,8,10,7,12,11] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,4,3,6,5,9,8,10,7,12,11] => [2,1,4,3,6,5,10,9,8,7,12,11] => [2,1,4,3,6,5,9,8,10,7,12,11] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]] => [5,4,6,3,7,2,8,1,10,9,12,11] => [8,7,6,5,4,3,2,1,10,9,12,11] => [5,4,6,3,7,2,8,1,10,9,12,11] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]] => [4,3,6,5,7,2,8,1,10,9,12,11] => [8,7,4,3,6,5,2,1,10,9,12,11] => [4,3,6,5,7,2,8,1,10,9,12,11] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [3,2,6,5,7,4,8,1,10,9,12,11] => [8,3,2,7,6,5,4,1,10,9,12,11] => [3,2,6,5,7,4,8,1,10,9,12,11] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [4,3,5,2,7,6,8,1,10,9,12,11] => [8,5,4,3,2,7,6,1,10,9,12,11] => [4,3,5,2,7,6,8,1,10,9,12,11] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]] => [3,2,5,4,7,6,8,1,10,9,12,11] => [8,3,2,5,4,7,6,1,10,9,12,11] => [3,2,5,4,7,6,8,1,10,9,12,11] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [2,1,6,5,7,4,8,3,10,9,12,11] => [2,1,8,7,6,5,4,3,10,9,12,11] => [2,1,6,5,7,4,8,3,10,9,12,11] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [2,1,5,4,7,6,8,3,10,9,12,11] => [2,1,8,5,4,7,6,3,10,9,12,11] => [2,1,5,4,7,6,8,3,10,9,12,11] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,7,6,8,5,10,9,12,11] => [4,3,2,1,8,7,6,5,10,9,12,11] => [3,2,4,1,7,6,8,5,10,9,12,11] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [2,1,4,3,7,6,8,5,10,9,12,11] => [2,1,4,3,8,7,6,5,10,9,12,11] => [2,1,4,3,7,6,8,5,10,9,12,11] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]] => [4,3,5,2,6,1,8,7,10,9,12,11] => [6,5,4,3,2,1,8,7,10,9,12,11] => [4,3,5,2,6,1,8,7,10,9,12,11] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]] => [3,2,5,4,6,1,8,7,10,9,12,11] => [6,3,2,5,4,1,8,7,10,9,12,11] => [3,2,5,4,6,1,8,7,10,9,12,11] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [2,1,5,4,6,3,8,7,10,9,12,11] => [2,1,6,5,4,3,8,7,10,9,12,11] => [2,1,5,4,6,3,8,7,10,9,12,11] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7,10,9,12,11] => [4,3,2,1,6,5,8,7,10,9,12,11] => [3,2,4,1,6,5,8,7,10,9,12,11] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [2,1,4,5,6,7,8,9,3] => [2,1,9,3,4,5,6,7,8] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [2,3,4,5,6,7,1,9,8] => [7,1,2,3,4,5,6,9,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [1,2,4,5,6,7,8,9,3] => [1,2,9,3,4,5,6,7,8] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [2,1,4,5,6,7,8,9,10,3] => [2,1,10,3,4,5,6,7,8,9] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [2,3,4,1,6,7,8,9,10,5] => [4,1,2,3,10,5,6,7,8,9] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [2,3,4,5,6,1,8,9,10,7] => [6,1,2,3,4,5,10,7,8,9] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [2,3,4,5,6,7,8,1,10,9] => [8,1,2,3,4,5,6,7,10,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,1,8,9] => [7,1,2,3,4,5,6,8,9] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [2,3,4,5,6,1,7,8,9] => [6,1,2,3,4,5,7,8,9] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [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] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [2,3,4,5,6,7,8,1,9,10] => [8,1,2,3,4,5,6,7,9,10] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [2,3,4,5,6,7,1,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]
[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,7,6,5,4,3,2,8,9] => [1,3,4,5,6,7,2,8,9] => [1,7,2,3,4,5,6,8,9] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [1,3,4,2,5,6,7,8,9] => [1,4,2,3,5,6,7,8,9] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [3,9,8,7,6,5,4,2,1] => [2,4,3,5,6,7,8,9,1] => [3,9,1,2,4,5,6,7,8] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [3,2,4,5,6,7,8,9,1] => [2,9,1,3,4,5,6,7,8] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7,10,9] => [3,2,4,1,6,5,8,7,10,9] => [2,4,1,3,6,5,8,7,10,9] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,10,9,7] => [2,1,4,3,6,5,9,8,10,7] => [2,1,4,3,6,5,8,10,7,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [8,2,3,4,5,6,7,9,1] => [2,3,4,5,6,7,9,1,8] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [2,1,3,4,5,6,8,7,9] => [2,1,3,4,5,6,8,7,9] => [2,1,3,4,5,6,8,7,9] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [2,1,3,4,5,6,8,9,7] => [2,1,3,4,5,6,9,8,7] => [2,1,3,4,5,6,8,9,7] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [9,2,3,4,5,6,7,8,10,1] => [2,3,4,5,6,7,8,10,1,9] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [2,1,4,3,5,6,7,8,9] => [2,1,4,3,5,6,7,8,9] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [9,8,3,4,5,6,7,2,1] => [3,4,5,6,7,8,2,9,1] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [8,2,3,4,5,6,7,1,9] => [2,3,4,5,6,7,8,1,9] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,2,3,4,5,6,1,8,9] => [2,3,4,5,6,7,1,8,9] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9] => [2,4,1,3,5,6,7,8,9] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [9,2,3,4,5,6,7,8,1,10] => [2,3,4,5,6,7,8,9,1,10] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [1,2,3,4,6,5,7,8,9] => [1,2,3,4,6,5,7,8,9] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,7,6,8,9] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,8,7,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [1,2,4,3,5,6,7,8,9,10] => [1,2,4,3,5,6,7,8,9,10] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [1,2,3,5,4,6,7,8,9,10] => [1,2,3,5,4,6,7,8,9,10] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,6,5,7,8,9,10] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,7,6,8,9,10] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [1,2,3,4,5,6,8,7,9,10] => [1,2,3,4,5,6,8,7,9,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [1,2,3,4,5,6,7,9,8,10] => [1,2,3,4,5,6,7,9,8,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [1,8,3,4,5,6,7,9,2] => [1,3,4,5,6,7,9,2,8] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,1] => [9,3,4,2,5,6,7,8,1] => [4,2,3,5,6,7,8,9,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [1,2,4,5,6,7,8,9,10,3] => [1,2,10,3,4,5,6,7,8,9] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [1,3,4,5,6,7,8,9,2,10] => [1,9,2,3,4,5,6,7,8,10] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [1,3,2,5,4,6,7,8,9] => [1,3,2,5,4,6,7,8,9] => [1,3,2,5,4,6,7,8,9] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [2,1,9,4,5,6,7,8,3] => [2,1,4,5,6,7,8,9,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,10,8,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,6,7,8] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,5,6,7,8] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,4,5,6,7,8] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [1,2,3,4,5,7,6,9,8] => [1,2,3,4,5,7,6,9,8] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,10,7,8,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,10,6,7,8,9] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,10,5,6,7,8,9] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,10,4,5,6,7,8,9] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9] => [1,2,3,4,5,6,8,7,10,9] => [1,2,3,4,5,6,8,7,10,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [2,4,3,1,5,6,7,8,9] => [3,4,1,2,5,6,7,8,9] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.] => [3,4,2,5,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => [3,4,2,5,1,6,7,8,9] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [2,3,1,5,4,6,7,8,9] => [3,2,1,5,4,6,7,8,9] => [2,3,1,5,4,6,7,8,9] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [4,2,3,5,6,7,8,9,1] => [2,3,9,1,4,5,6,7,8] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [2,8,7,6,5,4,3,1,9] => [3,2,4,5,6,7,8,1,9] => [2,8,1,3,4,5,6,7,9] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [7,2,3,4,5,6,1,9,8] => [2,3,4,5,6,7,1,9,8] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [1,4,3,2,5,6,7,8,9] => [1,3,4,2,5,6,7,8,9] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,8,10,9,11] => [1,2,3,4,5,6,7,8,10,9,11] => [1,2,3,4,5,6,7,8,10,9,11] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation σ is a pair i<j such that i<σ(j)<σ(i). The element σ(j) is then an invisible inversion bottom.
A descent view in a permutation π is an element π(j) such that π(i+1)<π(j)<π(i), and additionally the smallest element in the decreasing run containing π(i) is smaller than the smallest element in the decreasing run containing π(j).
This map is a bijection χ:Sn→Sn, such that
An invisible inversion of a permutation σ is a pair i<j such that i<σ(j)<σ(i). The element σ(j) is then an invisible inversion bottom.
A descent view in a permutation π is an element π(j) such that π(i+1)<π(j)<π(i), and additionally the smallest element in the decreasing run containing π(i) is smaller than the smallest element in the decreasing run containing π(j).
This map is a bijection χ:Sn→Sn, such that
- the multiset of descent views in π is the multiset of invisible inversion bottoms in χ(π),
- the set of left-to-right maxima of π is the set of maximal elements in the cycles of χ(π),
- the set of global ascent of π is the set of global ascent of χ(π),
- the set of maximal elements in the decreasing runs of π is the set of weak deficiency positions of χ(π), and
- the set of minimal elements in the decreasing runs of π is the set of weak deficiency values of χ(π).
Map
inverse first fundamental transformation
Description
Let σ=(i11⋯i1k1)⋯(iℓ1⋯iℓkℓ) be a permutation given by cycle notation such that every cycle starts with its maximal entry, and all cycles are ordered increasingly by these maximal entries.
Maps σ to the permutation [i11,…,i1k1,…,iℓ1,…,iℓkℓ] in one-line notation.
In other words, this map sends the maximal entries of the cycles to the left-to-right maxima, and the sequences between two left-to-right maxima are given by the cycles.
Maps σ to the permutation [i11,…,i1k1,…,iℓ1,…,iℓkℓ] in one-line notation.
In other words, this map sends the maximal entries of the cycles to the left-to-right maxima, and the sequences between two left-to-right maxima are given by the cycles.
Map
left-to-right-maxima to Dyck path
Description
The left-to-right maxima of a permutation as a Dyck path.
Let (c1,…,ck) be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are c1,c1+c2,…,c1+⋯+ck.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.
Let (c1,…,ck) be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are c1,c1+c2,…,c1+⋯+ck.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.
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