Identifier
Mp00034:
Dyck paths
—to binary tree: up step, left tree, down step, right tree⟶
Binary trees
Mp00018: Binary trees —left border symmetry⟶ Binary trees
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00018: Binary trees —left border symmetry⟶ Binary trees
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Images
[1,0] => [.,.] => [.,.] => [1]
[1,0,1,0] => [.,[.,.]] => [.,[.,.]] => [2,1]
[1,1,0,0] => [[.,.],.] => [[.,.],.] => [1,2]
[1,0,1,0,1,0] => [.,[.,[.,.]]] => [.,[.,[.,.]]] => [3,2,1]
[1,0,1,1,0,0] => [.,[[.,.],.]] => [.,[[.,.],.]] => [2,3,1]
[1,1,0,0,1,0] => [[.,.],[.,.]] => [[.,[.,.]],.] => [2,1,3]
[1,1,0,1,0,0] => [[.,[.,.]],.] => [[.,.],[.,.]] => [1,3,2]
[1,1,1,0,0,0] => [[[.,.],.],.] => [[[.,.],.],.] => [1,2,3]
[1,0,1,0,1,0,1,0] => [.,[.,[.,[.,.]]]] => [.,[.,[.,[.,.]]]] => [4,3,2,1]
[1,0,1,0,1,1,0,0] => [.,[.,[[.,.],.]]] => [.,[.,[[.,.],.]]] => [3,4,2,1]
[1,0,1,1,0,0,1,0] => [.,[[.,.],[.,.]]] => [.,[[.,[.,.]],.]] => [3,2,4,1]
[1,0,1,1,0,1,0,0] => [.,[[.,[.,.]],.]] => [.,[[.,.],[.,.]]] => [2,4,3,1]
[1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => [.,[[[.,.],.],.]] => [2,3,4,1]
[1,1,0,0,1,0,1,0] => [[.,.],[.,[.,.]]] => [[.,[.,[.,.]]],.] => [3,2,1,4]
[1,1,0,0,1,1,0,0] => [[.,.],[[.,.],.]] => [[.,[[.,.],.]],.] => [2,3,1,4]
[1,1,0,1,0,0,1,0] => [[.,[.,.]],[.,.]] => [[.,[.,.]],[.,.]] => [2,1,4,3]
[1,1,0,1,0,1,0,0] => [[.,[.,[.,.]]],.] => [[.,.],[.,[.,.]]] => [1,4,3,2]
[1,1,0,1,1,0,0,0] => [[.,[[.,.],.]],.] => [[.,.],[[.,.],.]] => [1,3,4,2]
[1,1,1,0,0,0,1,0] => [[[.,.],.],[.,.]] => [[[.,[.,.]],.],.] => [2,1,3,4]
[1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => [[[.,.],[.,.]],.] => [1,3,2,4]
[1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => [[[.,.],.],[.,.]] => [1,2,4,3]
[1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => [[[[.,.],.],.],.] => [1,2,3,4]
[1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1]
[1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1]
[1,0,1,0,1,1,0,0,1,0] => [.,[.,[[.,.],[.,.]]]] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1]
[1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => [.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1]
[1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1]
[1,0,1,1,0,0,1,0,1,0] => [.,[[.,.],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1]
[1,0,1,1,0,0,1,1,0,0] => [.,[[.,.],[[.,.],.]]] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1]
[1,0,1,1,0,1,0,0,1,0] => [.,[[.,[.,.]],[.,.]]] => [.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1]
[1,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] => [.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1]
[1,0,1,1,0,1,1,0,0,0] => [.,[[.,[[.,.],.]],.]] => [.,[[.,.],[[.,.],.]]] => [2,4,5,3,1]
[1,0,1,1,1,0,0,0,1,0] => [.,[[[.,.],.],[.,.]]] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1]
[1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => [.,[[[.,.],[.,.]],.]] => [2,4,3,5,1]
[1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => [.,[[[.,.],.],[.,.]]] => [2,3,5,4,1]
[1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1]
[1,1,0,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5]
[1,1,0,0,1,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5]
[1,1,0,0,1,1,0,0,1,0] => [[.,.],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5]
[1,1,0,0,1,1,0,1,0,0] => [[.,.],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],.] => [2,4,3,1,5]
[1,1,0,0,1,1,1,0,0,0] => [[.,.],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5]
[1,1,0,1,0,0,1,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4]
[1,1,0,1,0,0,1,1,0,0] => [[.,[.,.]],[[.,.],.]] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4]
[1,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,.]]],[.,.]] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3]
[1,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,.]]]],.] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2]
[1,1,0,1,0,1,1,0,0,0] => [[.,[.,[[.,.],.]]],.] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2]
[1,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],.]],[.,.]] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3]
[1,1,0,1,1,0,0,1,0,0] => [[.,[[.,.],[.,.]]],.] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2]
[1,1,0,1,1,0,1,0,0,0] => [[.,[[.,[.,.]],.]],.] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2]
[1,1,0,1,1,1,0,0,0,0] => [[.,[[[.,.],.],.]],.] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2]
[1,1,1,0,0,0,1,0,1,0] => [[[.,.],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5]
[1,1,1,0,0,0,1,1,0,0] => [[[.,.],.],[[.,.],.]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5]
[1,1,1,0,0,1,0,0,1,0] => [[[.,.],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5]
[1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5]
[1,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,.],.]],.] => [[[.,.],[[.,.],.]],.] => [1,3,4,2,5]
[1,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],.],[.,.]] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4]
[1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4]
[1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3]
[1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3]
[1,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],.],[.,.]] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5]
[1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => [[[[.,.],[.,.]],.],.] => [1,3,2,4,5]
[1,1,1,1,0,0,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5]
[1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4]
[1,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],.],.] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5]
[1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[[.,.],[.,.]]]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[[.,.],[.,[.,.]]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[[.,.],[[.,.],.]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1]
[1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[[.,[.,.]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1]
[1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1]
[1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[[.,[[.,.],.]],.]]] => [.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1]
[1,0,1,0,1,1,1,0,0,0,1,0] => [.,[.,[[[.,.],.],[.,.]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1]
[1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1]
[1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => [.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1]
[1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1]
[1,0,1,1,0,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1]
[1,0,1,1,0,0,1,0,1,1,0,0] => [.,[[.,.],[.,[[.,.],.]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1]
[1,0,1,1,0,0,1,1,0,0,1,0] => [.,[[.,.],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1]
[1,0,1,1,0,0,1,1,0,1,0,0] => [.,[[.,.],[[.,[.,.]],.]]] => [.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1]
[1,0,1,1,0,0,1,1,1,0,0,0] => [.,[[.,.],[[[.,.],.],.]]] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1]
[1,0,1,1,0,1,0,0,1,0,1,0] => [.,[[.,[.,.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1]
[1,0,1,1,0,1,0,0,1,1,0,0] => [.,[[.,[.,.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1]
[1,0,1,1,0,1,0,1,0,0,1,0] => [.,[[.,[.,[.,.]]],[.,.]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1]
[1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1]
[1,0,1,1,0,1,0,1,1,0,0,0] => [.,[[.,[.,[[.,.],.]]],.]] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1]
[1,0,1,1,0,1,1,0,0,0,1,0] => [.,[[.,[[.,.],.]],[.,.]]] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1]
[1,0,1,1,0,1,1,0,0,1,0,0] => [.,[[.,[[.,.],[.,.]]],.]] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1]
[1,0,1,1,0,1,1,0,1,0,0,0] => [.,[[.,[[.,[.,.]],.]],.]] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1]
[1,0,1,1,0,1,1,1,0,0,0,0] => [.,[[.,[[[.,.],.],.]],.]] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1]
[1,0,1,1,1,0,0,0,1,0,1,0] => [.,[[[.,.],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1]
[1,0,1,1,1,0,0,0,1,1,0,0] => [.,[[[.,.],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1]
[1,0,1,1,1,0,0,1,0,0,1,0] => [.,[[[.,.],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1]
[1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1]
[1,0,1,1,1,0,0,1,1,0,0,0] => [.,[[[.,.],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1]
[1,0,1,1,1,0,1,0,0,0,1,0] => [.,[[[.,[.,.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1]
[1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1]
[1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1]
[1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1]
>>> Load all 2499 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [.,[[[[.,.],.],.],[.,.]]] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1]
[1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => [.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1]
[1,0,1,1,1,1,0,0,1,0,0,0] => [.,[[[[.,.],[.,.]],.],.]] => [.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1]
[1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1]
[1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1]
[1,1,0,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6]
[1,1,0,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6]
[1,1,0,0,1,0,1,1,0,0,1,0] => [[.,.],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6]
[1,1,0,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6]
[1,1,0,0,1,0,1,1,1,0,0,0] => [[.,.],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6]
[1,1,0,0,1,1,0,0,1,0,1,0] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6]
[1,1,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6]
[1,1,0,0,1,1,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6]
[1,1,0,0,1,1,0,1,0,1,0,0] => [[.,.],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6]
[1,1,0,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6]
[1,1,0,0,1,1,1,0,0,0,1,0] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6]
[1,1,0,0,1,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6]
[1,1,0,0,1,1,1,0,1,0,0,0] => [[.,.],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6]
[1,1,0,0,1,1,1,1,0,0,0,0] => [[.,.],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6]
[1,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5]
[1,1,0,1,0,0,1,0,1,1,0,0] => [[.,[.,.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5]
[1,1,0,1,0,0,1,1,0,0,1,0] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5]
[1,1,0,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5]
[1,1,0,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5]
[1,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4]
[1,1,0,1,0,1,0,0,1,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4]
[1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,.]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3]
[1,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],.] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2]
[1,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[[.,.],.]]]],.] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2]
[1,1,0,1,0,1,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3]
[1,1,0,1,0,1,1,0,0,1,0,0] => [[.,[.,[[.,.],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2]
[1,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,[[.,[.,.]],.]]],.] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2]
[1,1,0,1,0,1,1,1,0,0,0,0] => [[.,[.,[[[.,.],.],.]]],.] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2]
[1,1,0,1,1,0,0,0,1,0,1,0] => [[.,[[.,.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4]
[1,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4]
[1,1,0,1,1,0,0,1,0,0,1,0] => [[.,[[.,.],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3]
[1,1,0,1,1,0,0,1,0,1,0,0] => [[.,[[.,.],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2]
[1,1,0,1,1,0,0,1,1,0,0,0] => [[.,[[.,.],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2]
[1,1,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,[.,.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3]
[1,1,0,1,1,0,1,0,0,1,0,0] => [[.,[[.,[.,.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2]
[1,1,0,1,1,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,.]]],.]],.] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2]
[1,1,0,1,1,0,1,1,0,0,0,0] => [[.,[[.,[[.,.],.]],.]],.] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2]
[1,1,0,1,1,1,0,0,0,0,1,0] => [[.,[[[.,.],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3]
[1,1,0,1,1,1,0,0,0,1,0,0] => [[.,[[[.,.],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2]
[1,1,0,1,1,1,0,0,1,0,0,0] => [[.,[[[.,.],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2]
[1,1,0,1,1,1,0,1,0,0,0,0] => [[.,[[[.,[.,.]],.],.]],.] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2]
[1,1,0,1,1,1,1,0,0,0,0,0] => [[.,[[[[.,.],.],.],.]],.] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2]
[1,1,1,0,0,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6]
[1,1,1,0,0,0,1,0,1,1,0,0] => [[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6]
[1,1,1,0,0,0,1,1,0,0,1,0] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6]
[1,1,1,0,0,0,1,1,0,1,0,0] => [[[.,.],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6]
[1,1,1,0,0,0,1,1,1,0,0,0] => [[[.,.],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6]
[1,1,1,0,0,1,0,0,1,0,1,0] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6]
[1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6]
[1,1,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6]
[1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6]
[1,1,1,0,0,1,0,1,1,0,0,0] => [[[.,.],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6]
[1,1,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6]
[1,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6]
[1,1,1,0,0,1,1,0,1,0,0,0] => [[[.,.],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6]
[1,1,1,0,0,1,1,1,0,0,0,0] => [[[.,.],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6]
[1,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5]
[1,1,1,0,1,0,0,0,1,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5]
[1,1,1,0,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5]
[1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5]
[1,1,1,0,1,0,0,1,1,0,0,0] => [[[.,[.,.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5]
[1,1,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4]
[1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]
[1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3]
[1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3]
[1,1,1,0,1,1,0,0,0,0,1,0] => [[[.,[[.,.],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4]
[1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4]
[1,1,1,0,1,1,0,0,1,0,0,0] => [[[.,[[.,.],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3]
[1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3]
[1,1,1,0,1,1,1,0,0,0,0,0] => [[[.,[[[.,.],.],.]],.],.] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3]
[1,1,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6]
[1,1,1,1,0,0,0,0,1,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6]
[1,1,1,1,0,0,0,1,0,0,1,0] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6]
[1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6]
[1,1,1,1,0,0,0,1,1,0,0,0] => [[[[.,.],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6]
[1,1,1,1,0,0,1,0,0,0,1,0] => [[[[.,.],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6]
[1,1,1,1,0,0,1,0,0,1,0,0] => [[[[.,.],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6]
[1,1,1,1,0,0,1,0,1,0,0,0] => [[[[.,.],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6]
[1,1,1,1,0,0,1,1,0,0,0,0] => [[[[.,.],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6]
[1,1,1,1,0,1,0,0,0,0,1,0] => [[[[.,[.,.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5]
[1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5]
[1,1,1,1,0,1,0,0,1,0,0,0] => [[[[.,[.,.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5]
[1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4]
[1,1,1,1,0,1,1,0,0,0,0,0] => [[[[.,[[.,.],.]],.],.],.] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4]
[1,1,1,1,1,0,0,0,0,0,1,0] => [[[[[.,.],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6]
[1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6]
[1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[.,.],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6]
[1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[.,.],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6]
[1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5]
[1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1]
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[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [.,[.,[[[[[.,.],.],.],.],.]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [.,[[.,.],[[[[.,.],.],.],.]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [.,[[.,[[[[.,.],.],.],.]],.]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [.,[[[.,.],.],[[[.,.],.],.]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [.,[[[.,.],[[[.,.],.],.]],.]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [.,[[[[.,.],.],.],[[.,.],.]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [.,[[[[.,.],.],[[.,.],.]],.]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [.,[[[[.,.],[[.,.],.]],.],.]] => [.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [.,[[[[.,[[.,.],.]],.],.],.]] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [.,[[[[[.,.],.],.],.],[.,.]]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [.,[[[[[.,.],.],.],[.,.]],.]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [.,[[[[[.,.],.],[.,.]],.],.]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [.,[[[[[.,[.,.]],.],.],.],.]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [.,[[[[[[.,.],.],.],.],.],.]] => [.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[[[[.,.],.],.],.]]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[.,.],[[.,.],[[[.,.],.],.]]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[.,.],[[.,[[[.,.],.],.]],.]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[.,.],[[[.,.],.],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[.,.],[[[.,.],[[.,.],.]],.]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[.,.],[[[.,[[.,.],.]],.],.]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[.,.],[[[[.,.],.],.],[.,.]]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[.,.],[[[[.,.],.],[.,.]],.]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[.,.],[[[[.,.],[.,.]],.],.]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[.,.],[[[[.,[.,.]],.],.],.]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[[[[[.,.],.],.],.],.]] => [[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,[.,.]],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[.,[.,[[[[.,.],.],.],.]]],.] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[.,[[.,.],[[[.,.],.],.]]],.] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[.,[[.,[[[.,.],.],.]],.]],.] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[.,[[[.,.],.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[.,[[[.,.],.],[[.,.],.]]],.] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[.,[[[.,.],[[.,.],.]],.]],.] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[.,[[[.,[[.,.],.]],.],.]],.] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[.,[[[[.,.],.],.],.]],[.,.]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[.,[[[[.,.],.],.],[.,.]]],.] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[.,[[[[.,.],.],[.,.]],.]],.] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[.,[[[[.,.],[.,.]],.],.]],.] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[.,[[[[.,[.,.]],.],.],.]],.] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[.,[[[[[.,.],.],.],.],.]],.] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[[[.,.],.],.]]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,.],.],[[.,.],[[.,.],.]]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[.,.],.],[[.,[[.,.],.]],.]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[.,.],.],[[[.,.],.],[.,.]]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[[.,.],.],[[[.,.],[.,.]],.]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[[[.,[.,.]],.],.]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[[[[.,.],.],.],.]] => [[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[[.,.],[.,.]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[[.,.],[.,[[[.,.],.],.]]],.] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[[.,.],.]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,.],[[.,.],.]]],.] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[.,.],[[.,[[.,.],.]],.]],.] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[[.,.],[[[.,.],.],.]],[.,.]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[[.,.],[[[.,.],.],[.,.]]],.] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[[.,.],[[[.,.],[.,.]],.]],.] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[[.,.],[[[.,[.,.]],.],.]],.] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[[.,.],[[[[.,.],.],.],.]],.] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[.,[.,.]],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[[.,[.,[[[.,.],.],.]]],.],.] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[[.,[[.,.],.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[.,[[.,.],.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[[.,[[.,.],[[.,.],.]]],.],.] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[[.,[[.,[[.,.],.]],.]],.],.] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[[.,[[[.,.],.],.]],.],[.,.]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[[.,[[[.,.],.],[.,.]]],.],.] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[[.,[[[.,.],[.,.]],.]],.],.] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[[.,[[[.,[.,.]],.],.]],.],.] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[[.,[[[[.,.],.],.],.]],.],.] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,[[.,.],.]]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[[.,.],.],.],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[[[.,.],.],.],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[[.,.],.],.],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[[[.,.],.],[.,.]],[[.,.],.]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[.,.],.],[.,[[.,.],.]]],.] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[[[.,.],.],[[.,.],.]],[.,.]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[[[.,.],.],[[.,.],[.,.]]],.] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[[[.,.],.],[[.,[.,.]],.]],.] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[[[.,.],.],[[[.,.],.],.]],.] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[[[.,.],[.,.]],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[[[.,.],[.,.]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[[[.,.],[.,[[.,.],.]]],.],.] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[[[.,.],[[.,.],.]],.],[.,.]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[[[.,.],[[.,.],.]],[.,.]],.] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[[[.,.],[[.,.],[.,.]]],.],.] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[[[.,.],[[.,[.,.]],.]],.],.] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[[.,.],[[[.,.],.],.]],.],.] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[[[.,[.,.]],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[[[.,[.,.]],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[.,[.,.]],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[[[.,[.,[[.,.],.]]],.],.],.] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[[[.,[[.,.],.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[[[.,[[.,.],.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[[.,[[.,.],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[[[.,[[.,.],[.,.]]],.],.],.] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[.,[[.,[.,.]],.]],.],.],.] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[[[.,[[[.,.],.],.]],.],.],.] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[[[.,.],.],.],.],[.,[.,.]]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[[[[.,.],.],.],.],[[.,.],.]] => [[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[[[[.,.],.],.],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[[[[.,.],.],.],[.,[.,.]]],.] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[[[[.,.],.],.],[[.,.],.]],.] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[[[[.,.],.],[.,.]],.],[.,.]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[[[[.,.],.],[.,.]],[.,.]],.] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[[[[.,.],.],[.,[.,.]]],.],.] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[[.,.],.],[[.,.],.]],.],.] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[[.,.],[.,.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,.]],.] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[[[[.,.],[.,.]],[.,.]],.],.] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[[[[.,.],[.,[.,.]]],.],.],.] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[[[[.,.],[[.,.],.]],.],.],.] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[[[[.,[.,.]],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[[[[.,[.,.]],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[[[[.,[.,.]],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[[.,[.,[.,.]]],.],.],.],.] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[[[[.,[[.,.],.]],.],.],.],.] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[[[[[.,.],.],.],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[[[[[.,.],.],.],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[[[[[.,.],.],[.,.]],.],.],.] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[[[[[.,.],[.,.]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[[[[[.,[.,.]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[[[[.,.],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [6,5,4,8,7,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [5,6,4,8,7,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [5,4,8,7,6,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [5,4,7,8,6,3,2,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [4,6,7,8,5,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [5,4,6,8,7,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [4,5,7,8,6,3,2,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [5,6,4,7,3,8,2,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [4,7,6,5,3,8,2,1]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [4,6,7,5,3,8,2,1]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [4,6,5,7,3,8,2,1]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [4,5,7,6,3,8,2,1]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [5,4,6,3,8,7,2,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [4,6,5,3,8,7,2,1]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [4,5,6,3,8,7,2,1]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [4,5,3,8,7,6,2,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [4,3,7,8,6,5,2,1]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [3,6,7,8,5,4,2,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [4,5,3,7,8,6,2,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [4,3,7,6,8,5,2,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [3,6,7,5,8,4,2,1]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [4,3,6,8,7,5,2,1]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [3,6,5,8,7,4,2,1]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [3,6,5,7,8,4,2,1]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [5,6,4,3,7,8,2,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [5,4,6,3,7,8,2,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [4,6,5,3,7,8,2,1]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [5,4,3,7,6,8,2,1]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [4,5,3,7,6,8,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [3,6,7,5,4,8,2,1]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [4,3,6,7,5,8,2,1]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [3,6,5,7,4,8,2,1]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [3,6,5,4,8,7,2,1]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [3,5,6,4,8,7,2,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [4,3,5,8,7,6,2,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [3,5,4,8,7,6,2,1]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [3,4,7,8,6,5,2,1]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [4,3,5,7,8,6,2,1]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [3,4,7,6,8,5,2,1]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [3,4,6,8,7,5,2,1]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [4,5,3,6,7,8,2,1]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [3,5,6,4,7,8,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [4,3,5,7,6,8,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [4,3,5,6,8,7,2,1]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [3,5,4,6,8,7,2,1]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [3,4,6,5,8,7,2,1]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [5,6,4,7,3,2,8,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [5,4,7,6,3,2,8,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [5,4,6,7,3,2,8,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [4,5,7,6,3,2,8,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [5,6,4,3,7,2,8,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [4,5,3,7,6,2,8,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [3,7,6,5,4,2,8,1]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [3,6,7,5,4,2,8,1]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [4,3,6,7,5,2,8,1]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [3,6,5,7,4,2,8,1]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [4,3,5,7,6,2,8,1]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [3,5,4,6,7,2,8,1]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [3,4,5,7,6,2,8,1]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [5,6,4,3,2,8,7,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [4,3,5,6,2,8,7,1]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [3,5,4,6,2,8,7,1]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [3,4,6,5,2,8,7,1]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [3,4,5,6,2,8,7,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [4,5,3,2,8,7,6,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [4,3,5,2,8,7,6,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [3,5,4,2,8,7,6,1]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [3,4,5,2,8,7,6,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [3,2,7,8,6,5,4,1]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [3,2,7,6,8,5,4,1]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [2,7,6,5,8,4,3,1]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [2,6,5,8,7,4,3,1]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [2,5,7,8,6,4,3,1]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [3,2,6,7,8,5,4,1]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [2,6,5,7,8,4,3,1]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [2,5,7,6,8,4,3,1]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [2,5,6,8,7,4,3,1]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [4,5,3,2,7,8,6,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [4,3,5,2,7,8,6,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [4,3,2,7,6,8,5,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [3,4,2,7,6,8,5,1]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [3,2,7,6,5,8,4,1]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [2,6,7,5,4,8,3,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [3,2,6,7,5,8,4,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [2,6,5,7,4,8,3,1]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [2,5,7,6,4,8,3,1]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [4,3,2,6,8,7,5,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [3,4,2,6,8,7,5,1]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [3,2,6,5,8,7,4,1]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [3,2,5,8,7,6,4,1]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [2,4,7,6,8,5,3,1]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [4,3,2,6,7,8,5,1]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [3,4,2,6,7,8,5,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [3,2,6,5,7,8,4,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [3,2,5,6,8,7,4,1]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [2,5,4,6,8,7,3,1]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [2,4,5,8,7,6,3,1]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [2,4,5,7,6,8,3,1]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [5,6,4,3,2,7,8,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [4,6,5,3,2,7,8,1]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [4,5,3,6,2,7,8,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [4,3,6,5,2,7,8,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [3,6,5,4,2,7,8,1]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [3,5,4,6,2,7,8,1]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [4,5,3,2,7,6,8,1]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [3,4,2,7,6,5,8,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [2,6,7,5,4,3,8,1]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [2,5,7,6,4,3,8,1]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [4,3,2,6,7,5,8,1]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [2,6,5,4,7,3,8,1]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [2,5,6,4,7,3,8,1]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [2,4,7,6,5,3,8,1]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [2,4,5,7,6,3,8,1]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [4,5,3,2,6,8,7,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [4,3,5,2,6,8,7,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [3,5,4,2,6,8,7,1]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [3,4,5,2,6,8,7,1]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [3,4,2,6,5,8,7,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [2,5,6,4,3,8,7,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [3,2,5,6,4,8,7,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [2,5,4,6,3,8,7,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [3,2,5,4,8,7,6,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [2,3,7,8,6,5,4,1]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [2,4,3,7,8,6,5,1]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [2,3,7,6,8,5,4,1]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [2,3,6,8,7,5,4,1]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [3,2,4,7,6,8,5,1]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [2,4,3,7,6,8,5,1]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [2,3,6,7,5,8,4,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [3,2,4,6,8,7,5,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [2,3,5,8,7,6,4,1]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [3,2,4,6,7,8,5,1]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [2,3,6,5,7,8,4,1]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [4,3,2,6,5,7,8,1]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [3,2,6,5,4,7,8,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [2,5,4,3,7,6,8,1]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [2,4,5,3,7,6,8,1]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [2,3,6,7,5,4,8,1]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [3,2,4,6,7,5,8,1]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [2,3,6,5,7,4,8,1]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [2,5,4,3,6,8,7,1]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [2,3,6,5,4,8,7,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [3,2,4,5,8,7,6,1]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [2,3,4,7,8,6,5,1]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [2,4,3,5,7,8,6,1]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [3,2,4,6,5,7,8,1]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [2,3,5,4,6,8,7,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [4,6,5,3,7,2,1,8]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [4,5,6,3,7,2,1,8]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [4,5,3,7,6,2,1,8]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [3,7,6,5,4,2,1,8]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [3,6,7,5,4,2,1,8]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [4,3,6,7,5,2,1,8]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [3,6,5,7,4,2,1,8]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [3,5,6,7,4,2,1,8]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [4,5,3,6,7,2,1,8]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [4,3,5,7,6,2,1,8]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [3,4,6,7,5,2,1,8]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [4,3,5,6,7,2,1,8]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [3,5,4,6,7,2,1,8]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [3,4,6,5,7,2,1,8]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [3,4,5,7,6,2,1,8]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [4,6,5,3,2,7,1,8]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [4,5,6,3,2,7,1,8]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [4,3,6,5,2,7,1,8]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [3,6,5,4,2,7,1,8]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [3,4,6,5,2,7,1,8]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [4,3,2,7,6,5,1,8]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [2,6,5,7,4,3,1,8]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [2,5,6,7,4,3,1,8]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [2,6,5,4,7,3,1,8]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [2,4,7,6,5,3,1,8]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [2,4,6,5,7,3,1,8]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [2,4,5,7,6,3,1,8]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [4,5,3,2,6,7,1,8]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [4,3,5,2,6,7,1,8]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [2,6,5,4,3,7,1,8]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [2,5,6,4,3,7,1,8]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [3,2,5,6,4,7,1,8]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [2,4,6,5,3,7,1,8]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [[.,[[[.,.],[[[.,.],.],.]],.]],.] => [2,4,5,6,3,7,1,8]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [2,5,4,3,7,6,1,8]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [2,4,5,3,7,6,1,8]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [3,2,4,7,6,5,1,8]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [2,4,3,7,6,5,1,8]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [2,4,3,6,7,5,1,8]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [3,2,5,4,6,7,1,8]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => [2,4,5,3,6,7,1,8]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [3,2,4,6,5,7,1,8]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [2,3,6,5,4,7,1,8]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [3,2,4,5,7,6,1,8]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [2,4,3,5,7,6,1,8]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [2,3,5,4,7,6,1,8]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [2,4,3,5,6,7,1,8]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [3,5,4,6,2,1,8,7]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [2,5,4,6,3,1,8,7]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [2,4,5,6,3,1,8,7]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [3,2,4,6,5,1,8,7]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [3,2,4,5,6,1,8,7]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [2,3,5,4,6,1,8,7]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [2,3,4,6,5,1,8,7]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [2,3,1,7,8,6,5,4]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,5,7,8,6,4,3,2]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,5,6,8,7,4,3,2]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [1,6,7,5,4,8,3,2]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [1,6,5,7,4,8,3,2]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,5,7,6,4,8,3,2]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [1,5,6,7,4,8,3,2]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,6,5,4,8,7,3,2]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,5,6,4,8,7,3,2]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,5,4,8,7,6,3,2]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,4,7,6,8,5,3,2]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,5,6,4,7,8,3,2]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,5,4,7,6,8,3,2]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [1,4,6,5,7,8,3,2]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,4,5,7,6,8,3,2]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,4,5,6,8,7,3,2]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [4,5,3,2,1,7,8,6]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [4,3,5,2,1,7,8,6]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [3,2,4,5,1,7,8,6]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [2,3,5,4,1,7,8,6]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [1,5,7,6,4,3,8,2]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,5,6,7,4,3,8,2]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [1,6,5,4,7,3,8,2]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,5,4,7,6,3,8,2]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,4,7,6,5,3,8,2]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,4,5,7,6,3,8,2]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,5,4,6,3,8,7,2]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [2,3,1,5,8,7,6,4]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,3,7,6,8,5,4,2]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,5,4,3,7,8,6,2]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [2,1,4,7,6,8,5,3]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,3,7,6,5,8,4,2]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,3,6,5,8,7,4,2]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [2,3,1,6,5,7,8,4]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [2,1,6,5,4,7,8,3]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [1,5,6,4,3,7,8,2]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,4,6,5,3,7,8,2]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [1,4,5,6,3,7,8,2]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,5,4,3,7,6,8,2]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,4,5,3,7,6,8,2]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,4,3,7,6,5,8,2]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,3,7,6,5,4,8,2]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,3,6,7,5,4,8,2]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[.,[[[.,.],[[[.,.],.],.]],.]],.] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [2,3,1,5,6,8,7,4]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,3,5,6,4,8,7,2]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,3,5,4,8,7,6,2]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,3,4,7,8,6,5,2]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,3,4,6,8,7,5,2]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [2,1,4,6,5,7,8,3]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,3,6,5,4,7,8,2]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [2,1,4,5,7,6,8,3]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,4,3,5,7,6,8,2]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,4,3,5,6,8,7,2]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,3,5,4,6,8,7,2]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,3,4,6,5,8,7,2]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [4,6,5,3,2,1,7,8]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [4,5,3,6,2,1,7,8]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [4,3,6,5,2,1,7,8]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [3,5,6,4,2,1,7,8]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [4,3,5,6,2,1,7,8]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [3,5,4,6,2,1,7,8]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [3,4,6,5,2,1,7,8]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [3,4,2,6,5,1,7,8]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [3,2,6,5,4,1,7,8]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [2,6,5,4,3,1,7,8]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [2,5,6,4,3,1,7,8]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [3,2,5,6,4,1,7,8]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [2,5,4,6,3,1,7,8]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [3,2,5,4,6,1,7,8]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [2,5,4,3,6,1,7,8]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [[[.,.],.],[[[.,.],[[.,.],.]],.]] => [[[.,[[[.,.],[[.,.],.]],.]],.],.] => [2,4,5,3,6,1,7,8]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [3,2,4,6,5,1,7,8]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [2,3,6,5,4,1,7,8]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [[[.,.],.],[[[.,[[.,.],.]],.],.]] => [[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[[[.,.],.],[.,.]],.]] => [[[.,[[[[.,.],[.,.]],.],.]],.],.] => [2,4,3,5,6,1,7,8]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [[[.,.],.],[[[[.,.],[.,.]],.],.]] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [4,3,5,2,1,7,6,8]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [4,3,2,5,1,7,6,8]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [3,2,4,5,1,7,6,8]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [3,4,2,1,7,6,5,8]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [2,4,3,1,7,6,5,8]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [2,3,1,7,6,5,4,8]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [1,5,7,6,4,3,2,8]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [2,1,6,5,7,4,3,8]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [1,6,5,4,7,3,2,8]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [2,1,5,7,6,4,3,8]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [1,4,5,7,6,3,2,8]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,[[[[.,.],.],.],.]]],.] => [[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [3,4,2,1,6,7,5,8]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [2,4,3,1,6,7,5,8]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [3,2,1,6,5,7,4,8]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [2,1,6,5,4,7,3,8]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [1,6,5,4,3,7,2,8]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [1,5,6,4,3,7,2,8]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [2,1,5,6,4,7,3,8]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [1,4,6,5,3,7,2,8]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,4,5,6,3,7,2,8]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [2,3,1,5,7,6,4,8]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [2,1,5,4,7,6,3,8]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [1,5,4,3,7,6,2,8]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [1,4,5,3,7,6,2,8]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [2,1,4,7,6,5,3,8]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [1,4,3,7,6,5,2,8]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,4,3,6,7,5,2,8]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [[[.,.],[[.,[[[.,.],.],.]],.]],.] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [2,1,5,4,6,7,3,8]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [2,1,4,6,5,7,3,8]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [2,1,4,5,7,6,3,8]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [1,3,4,7,6,5,2,8]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [[[.,.],[[[[.,[.,.]],.],.],.]],.] => [1,4,3,5,6,7,2,8]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,3,5,4,6,7,2,8]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],[[[[.,[.,.]],.],.],.]],.] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [4,3,2,5,1,6,8,7]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [3,4,2,5,1,6,8,7]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [3,2,4,5,1,6,8,7]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,4,6,5,3,2,8,7]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [1,4,5,6,3,2,8,7]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [3,2,1,5,6,4,8,7]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [2,3,1,5,6,4,8,7]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [1,5,4,3,6,2,8,7]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [1,4,5,3,6,2,8,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [1,4,3,6,5,2,8,7]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [1,3,5,6,4,2,8,7]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [1,4,3,5,6,2,8,7]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [1,3,5,4,6,2,8,7]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [1,3,4,6,5,2,8,7]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [3,4,2,1,5,8,7,6]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [3,2,1,5,4,8,7,6]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [2,3,1,5,4,8,7,6]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [1,3,5,4,2,8,7,6]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [1,3,2,7,8,6,5,4]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,2,7,6,8,5,4,3]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [1,2,6,8,7,5,4,3]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,4,3,2,7,8,6,5]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [2,1,3,7,6,8,5,4]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,2,6,7,5,8,4,3]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,2,5,8,7,6,4,3]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [1,2,5,7,8,6,4,3]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [3,4,2,1,5,7,8,6]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [2,4,3,1,5,7,8,6]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [3,2,1,5,4,7,8,6]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [2,3,1,5,4,7,8,6]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [2,1,5,4,3,7,8,6]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [2,1,4,5,3,7,8,6]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [2,1,3,7,6,5,8,4]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [1,2,6,7,5,4,8,3]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [2,1,3,6,7,5,8,4]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [1,2,6,5,7,4,8,3]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [2,3,1,4,6,8,7,5]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,2,5,6,4,8,7,3]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [2,1,3,5,8,7,6,4]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [2,1,3,5,7,8,6,4]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,2,5,4,7,8,6,3]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,2,4,7,6,8,5,3]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [2,1,3,6,5,7,8,4]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [[[.,[[[.,.],.],[[.,.],.]]],.],.] => [[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [2,1,3,5,7,6,8,4]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [[[.,[[[.,.],[[.,.],.]],.]],.],.] => [[[.,.],.],[[[.,.],[[.,.],.]],.]] => [1,2,4,6,7,5,8,3]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [2,1,3,5,6,8,7,4]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,2,4,6,5,8,7,3]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [[[.,.],.],[[[[.,.],[.,.]],.],.]] => [1,2,4,6,5,7,8,3]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [[[.,[[[[.,.],[.,.]],.],.]],.],.] => [[[.,.],.],[[[[.,.],.],[.,.]],.]] => [1,2,4,5,7,6,8,3]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [3,4,2,1,6,5,7,8]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [2,1,6,5,4,3,7,8]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,4,5,6,3,2,7,8]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [2,1,5,4,6,3,7,8]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [1,3,6,5,4,2,7,8]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [2,1,4,5,6,3,7,8]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[[[.,.],.],[.,.]]],.] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [[[[.,.],.],[[[.,.],[.,.]],.]],.] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,3,5,4,6,2,7,8]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [[[[.,.],[[[.,.],.],[.,.]]],.],.] => [1,3,4,6,5,2,7,8]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [3,4,2,1,5,7,6,8]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [2,4,3,1,5,7,6,8]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [2,1,4,5,3,7,6,8]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [2,3,1,4,7,6,5,8]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [2,1,4,3,7,6,5,8]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [1,3,4,2,7,6,5,8]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [2,1,3,7,6,5,4,8]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [1,2,6,5,7,4,3,8]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [3,2,1,4,6,7,5,8]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [2,1,4,3,6,7,5,8]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [2,1,3,6,5,7,4,8]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [1,2,6,5,4,7,3,8]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [2,1,3,5,7,6,4,8]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [1,2,5,4,7,6,3,8]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [1,2,4,7,6,5,3,8]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [[[[.,[.,.]],.],[[[.,.],.],.]],.] => [2,1,3,5,6,7,4,8]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [[[[.,.],[[[.,.],.],[.,.]]],.],.] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,2,4,6,5,7,3,8]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] => [[[[.,.],.],[[[.,.],.],[.,.]]],.] => [1,2,4,5,7,6,3,8]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [3,4,2,1,5,6,8,7]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [2,4,3,1,5,6,8,7]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [3,2,1,5,4,6,8,7]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [2,3,1,5,4,6,8,7]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [1,5,4,3,2,6,8,7]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [1,4,3,5,2,6,8,7]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[[.,[.,.]],.],[[[.,.],.],.]],.] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [3,2,1,4,6,5,8,7]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,4,3,2,6,5,8,7]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [2,1,3,6,5,4,8,7]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [1,2,6,5,4,3,8,7]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [1,2,5,6,4,3,8,7]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [1,2,5,4,6,3,8,7]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [1,2,4,6,5,3,8,7]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [2,3,1,4,5,8,7,6]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,3,2,4,7,8,6,5]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[[[.,[[.,.],[[.,.],.]]],.],.],.] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [2,1,3,4,6,8,7,5]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,4,3,5,2,6,7,8]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [3,2,1,4,6,5,7,8]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [[[[[.,[[.,.],.]],.],[.,.]],.],.] => [2,3,1,4,6,5,7,8]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [1,4,3,2,6,5,7,8]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,3,4,2,6,5,7,8]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [2,1,3,6,5,4,7,8]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [[[[[.,[.,.]],.],[[.,.],.]],.],.] => [2,1,3,5,6,4,7,8]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [[[[[.,.],.],[[.,[.,.]],.]],.],.] => [1,2,5,4,6,3,7,8]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [[[[[.,.],.],[[.,[.,.]],.]],.],.] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [2,1,4,3,5,7,6,8]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [2,1,3,5,4,7,6,8]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [1,2,5,4,3,7,6,8]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [2,1,3,4,7,6,5,8]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [1,2,4,3,7,6,5,8]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [2,1,3,4,6,7,5,8]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,3,2,4,6,7,5,8]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[[[.,.],[[.,[.,.]],.]],.],.],.] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [1,3,2,5,4,6,8,7]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [[[[[.,[.,.]],.],[[.,.],.]],.],.] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,2,4,5,3,6,8,7]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [[[[[.,[[.,.],.]],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,2,4,5,3,6,7,8]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [2,1,3,4,5,6,8,7,9]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [2,1,3,4,5,6,8,9,7]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [2,3,4,5,6,8,9,7,1]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] => [[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]],.] => [2,1,3,4,5,6,7,9,8,10]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [[[[[.,[[[.,.],.],.]],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],[[[.,.],.],.]] => [2,1,3,4,5,7,8,9,6]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [[[[[[.,[.,.]],[.,.]],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],[.,.]],[.,.]] => [2,1,3,4,5,7,6,9,8]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[[.,[[[[.,.],.],.],.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[[[[.,.],.],.],.]] => [2,1,3,4,6,7,8,9,5]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [.,[[[[[[.,[.,.]],[.,.]],.],.],.],.]] => [.,[[[[[[.,.],.],.],.],[.,.]],[.,.]]] => [2,3,4,5,7,6,9,8,1]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[.,[[[[[.,.],.],.],.],.]],.],[.,.]] => [[[.,[.,.]],.],[[[[[.,.],.],.],.],.]] => [2,1,3,5,6,7,8,9,4]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [2,4,3,5,6,7,8,9,1]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [2,4,5,6,7,8,9,3,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [2,3,1,4,5,6,7,9,8]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [2,3,4,5,6,8,7,1,9]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [[[[[[.,.],[.,.]],.],.],.],[[.,.],.]] => [[[[[[.,[[.,.],.]],.],.],.],[.,.]],.] => [2,3,1,4,5,6,8,7,9]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1]
[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]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,8,9,7,6,5,4,3,2]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.] => [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,8,7,9,6,5,4,3,2]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,8,7,6,5,4,3,9,2]
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[.,[[.,.],[[[[[.,.],.],.],.],.]]],.] => [[.,.],[[.,[[[[[.,.],.],.],.],.]],.]] => [1,4,5,6,7,8,3,9,2]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,4,3,9,8,7,6,5,2]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]],.] => [[.,.],[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [1,7,6,5,4,3,8,9,2]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,3,2,9,8,7,6,5,4]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,3,2,8,9,7,6,5,4]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,[[.,.],[.,.]]]] => [1,4,3,2,7,9,8,6,5]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]],.] => [[[.,.],[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,6,5,4,3,2,8,9,7]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [[[.,[[[.,.],.],[[[.,.],.],.]]],.],.] => [[[.,.],.],[[[.,[[[.,.],.],.]],.],.]] => [1,2,5,6,7,4,8,9,3]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [1,2,5,4,6,7,8,9,3]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.] => [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,7,6,5,4,3,2,8,9]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.] => [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,2,8,7,6,5,4,3,9]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,2,4,3,9,8,7,6,5]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[[[.,[[.,[.,[.,.]]],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[.,.],[.,[.,.]]]] => [1,2,4,3,6,9,8,7,5]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[[[.,[[[.,.],[.,.]],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[[.,.],[.,.]],.]] => [1,2,4,3,6,8,7,9,5]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,2,3,6,5,7,8,9,4]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[.,[[[[[.,.],.],.],.],.]],.],.],.] => [[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],[.,[.,[.,[.,.]]]]],.] => [[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.] => [1,6,5,4,3,2,7,8,9]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.] => [[[[[.,.],.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,3,8,7,6,5,4,9]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,3,5,4,9,8,7,6]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,4,7,6,8,9,5]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [[[[[[.,.],.],.],.],[[.,.],[.,.]]],.] => [[[[[[.,.],[[.,[.,.]],.]],.],.],.],.] => [1,4,3,5,2,6,7,8,9]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [[[[[[.,.],.],.],.],[[[.,.],.],.]],.] => [[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [1,3,4,5,2,6,7,8,9]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,4,8,7,6,5,9]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,4,6,5,9,8,7]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [[[[[[.,[[[.,.],.],.]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [[[[[[[.,.],.],.],.],.],[.,[.,.]]],.] => [[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [[[[[[[.,.],.],.],.],.],[[.,.],.]],.] => [[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [[[[[[[.,.],.],.],.],[.,.]],[.,.]],.] => [[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [1,3,2,5,4,6,7,8,9]
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [[[[[[[.,.],.],.],.],[[.,.],.]],.],.] => [[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [1,2,4,5,3,6,7,8,9]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [[[[[[[.,.],[.,.]],.],.],.],[.,.]],.] => [[[[[[[.,.],[.,.]],.],.],.],[.,.]],.] => [1,3,2,4,5,6,8,7,9]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,5,8,7,6,9]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [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] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [4,9,8,7,6,5,3,2,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [3,9,8,7,6,5,4,2,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [6,8,7,9,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [5,8,7,6,9,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [6,10,9,8,7,5,4,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [4,8,7,6,5,9,3,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [3,8,7,6,5,4,9,2,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [2,8,7,6,5,4,3,9,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]] => [9,10,11,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,8,7,6,5,4,3,2,10,9]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]] => [3,5,4,7,9,8,6,2,1]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]],.] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,7,6,5,4,3,2,9,10,8]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]] => [2,4,3,9,8,7,6,5,1]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => [.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [.,[[[.,[[[.,.],[.,.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[[.,.],[.,.]],.]]] => [2,4,3,6,8,7,9,5,1]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,3,2,9,10,8,7,6,5,4]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]] => [7,8,6,9,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [.,[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]] => [6,7,8,5,9,4,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [.,[.,[.,[[.,[[[[.,.],.],.],.]],.]]]] => [5,6,7,8,4,9,3,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [.,[.,[[.,[[[[[.,.],.],.],.],.]],.]]] => [4,5,6,7,8,3,9,2,1]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [.,[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]] => [.,[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]] => [7,6,5,4,3,8,9,2,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] => [.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [.,[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]] => [.,[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]] => [7,6,5,4,3,8,2,9,1]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => [7,6,5,4,3,2,8,9,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [.,[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]] => [.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [6,5,4,3,2,7,8,9,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [.,[[[[[.,.],.],.],.],[.,[.,[.,.]]]]] => [.,[[[[[.,[.,[.,[.,.]]]],.],.],.],.]] => [5,4,3,2,6,7,8,9,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]] => [.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1]
[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]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[.,.],[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [6,7,8,5,4,3,2,1,9]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[.,.],[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.] => [7,6,5,8,4,3,2,1,9]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[.,.],[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]],.] => [6,7,5,8,4,3,2,1,9]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[.,.],[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]],.] => [6,5,7,8,4,3,2,1,9]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[.,.],[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.] => [6,5,4,3,2,7,8,1,9]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[.,.],.],[.,[.,[.,[.,[[.,.],.]]]]]] => [[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [6,7,5,4,3,2,1,8,9]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [[[[[[.,.],.],.],.],.],[.,[[.,.],.]]] => [[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] => [.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]] => [.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[.,.],[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [7,8,9,6,5,4,3,2,1,10]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[.,.],[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]] => [[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]],.] => [7,6,8,9,5,4,3,2,1,10]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.] => [8,7,6,5,4,3,2,9,1,10]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]],.] => [7,6,5,4,3,2,8,9,1,10]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,.],.],.],.],[.,[.,[.,[[.,.],.]]]]] => [[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.],.] => [5,6,4,3,2,1,7,8,9,10]
[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]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] => [[[[[[[.,.],.],.],.],.],.],[.,[[.,.],.]]] => [[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9,10]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]] => [5,4,3,2,1,8,9,7,6]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]] => [4,3,2,1,8,9,7,6,5]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] => [2,1,8,9,7,6,5,4,3]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,9,10,8,7,6,5,4,3,2]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.],.] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,8,10,9,11]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [6,7,5,4,3,2,1,9,8]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,[.,[.,[.,.]]]]]] => [2,1,3,9,8,7,6,5,4]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,[.,[.,[.,.]]]]] => [3,2,1,4,9,8,7,6,5]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],[.,[.,[.,.]]]] => [4,3,2,1,5,9,8,7,6]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[[.,[.,[.,.]]],.],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,[.,.]]] => [5,4,3,2,1,6,9,8,7]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[.,[.,.]],.],[.,[.,[.,[.,[.,.]]]]]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],[.,.]] => [6,5,4,3,2,1,7,9,8]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10,11]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]],.] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,8,10,9]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [3,2,1,5,4,6,7,8,9]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [6,5,4,3,2,1,8,7,9]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[.,[[[.,.],.],.]],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[.,[[[[.,.],.],.],.]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[.,[[[[[.,.],.],.],.],.]],.],.],.],.] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[.,[[[[[[.,.],.],.],.],.],.]],.],.],.] => [[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[.,[[[[[[[.,.],.],.],.],.],.],.]],.],.] => [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[.,[.,.]],.],[[[[[.,.],.],.],.],.]] => [[[.,[[[[[.,.],.],.],.],.]],.],[.,.]] => [2,3,4,5,6,1,7,9,8]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [.,[.,[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]]] => [8,7,6,10,9,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [.,[.,[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]]] => [7,6,10,9,8,5,4,3,2,1]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]] => [4,5,3,2,1,9,8,7,6]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]],.] => [6,5,4,3,2,8,7,1,9]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] => [2,8,9,7,6,5,4,3,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [2,8,7,6,5,4,3,1,9]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [2,3,4,6,5,1,7,8,9]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [2,3,5,4,1,6,7,8,9]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [2,3,4,5,7,6,1,8,9]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [[[[[[.,.],.],.],.],[.,.]],[[.,.],.]] => [[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [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] => [[.,[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],[.,.]] => [6,5,4,3,2,7,1,9,8]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]] => [4,5,3,6,2,7,1,9,10,8]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]] => [3,4,2,5,1,8,9,7,10,6]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]] => [[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]] => [2,3,1,7,8,6,9,5,10,4]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.] => [[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [1,6,7,5,8,4,9,3,10,2]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]] => [[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [2,1,7,6,8,5,9,4,10,3]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [3,2,4,1,8,7,9,6,10,5]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [4,3,5,2,6,1,9,8,10,7]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [5,4,6,3,7,2,8,1,10,9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [2,4,6,8,10,9,7,5,3,1]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [.,[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]] => [2,4,6,8,7,5,10,9,3,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]] => [2,4,6,8,7,5,3,10,9,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [.,[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]] => [2,4,6,5,3,8,10,9,7,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]] => [2,4,6,5,3,8,7,10,9,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]] => [2,4,3,6,8,10,9,7,5,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [2,4,3,6,8,7,10,9,5,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => [2,4,3,6,8,7,5,10,9,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,5,8,10,9,7,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,10,9,1]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]] => [2,4,6,8,7,5,3,1,10,9]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]] => [2,4,6,5,3,8,7,1,10,9]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]] => [2,4,3,6,8,7,5,1,10,9]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,8,7,1,10,9]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]] => [2,4,6,5,3,1,8,10,9,7]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => [2,4,3,6,5,1,8,10,9,7]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]] => [2,4,6,5,3,1,8,7,10,9]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]] => [2,4,3,6,5,1,8,7,10,9]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [2,4,3,1,6,8,10,9,7,5]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]] => [2,4,3,1,6,8,7,10,9,5]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,8,7,5,10,9]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [2,4,3,1,6,5,8,10,9,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7,10,9]
[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]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]] => [2,4,6,8,10,12,11,9,7,5,3,1]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]]] => [2,4,6,8,10,9,7,12,11,5,3,1]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]] => [.,[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]]] => [2,4,6,8,10,9,7,5,12,11,3,1]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]] => [.,[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,10,12,11,9,3,1]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]] => [.,[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]] => [2,4,6,8,7,5,10,9,12,11,3,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [.,[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]]] => [2,4,6,8,10,9,7,5,3,12,11,1]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [.,[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]]] => [2,4,6,8,7,5,10,9,3,12,11,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]] => [.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]] => [2,4,6,8,7,5,3,10,12,11,9,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [.,[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]] => [2,4,6,8,7,5,3,10,9,12,11,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]] => [.,[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,5,3,8,10,12,11,9,7,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]] => [.,[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,3,8,10,9,12,11,7,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [.,[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,10,9,7,12,11,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]] => [.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]] => [2,4,6,5,3,8,7,10,12,11,9,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [.,[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]] => [2,4,6,5,3,8,7,10,9,12,11,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [2,4,3,6,8,10,12,11,9,7,5,1]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]] => [2,4,3,6,8,10,9,12,11,7,5,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]] => [2,4,3,6,8,10,9,7,12,11,5,1]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]]] => [2,4,3,6,8,7,10,12,11,9,5,1]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [2,4,3,6,8,7,10,9,12,11,5,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]]] => [2,4,3,6,8,10,9,7,5,12,11,1]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]] => [2,4,3,6,8,7,10,9,5,12,11,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,10,12,11,9,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [.,[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]] => [2,4,3,6,8,7,5,10,9,12,11,1]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]] => [2,4,3,6,5,8,10,12,11,9,7,1]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [2,4,3,6,5,8,10,9,12,11,7,1]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [.,[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]] => [2,4,3,6,5,8,10,9,7,12,11,1]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,5,8,7,10,12,11,9,1]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,10,9,12,11,1]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],[.,.]] => [2,4,6,8,10,9,7,5,3,1,12,11]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [[.,[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]],[.,.]] => [2,4,6,8,7,5,10,9,3,1,12,11]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]],[.,.]] => [2,4,6,8,7,5,3,10,9,1,12,11]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,8,10,9,7,1,12,11]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]],[.,.]] => [2,4,6,5,3,8,7,10,9,1,12,11]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]],[.,.]] => [2,4,3,6,8,10,9,7,5,1,12,11]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],[.,.]] => [2,4,3,6,8,7,10,9,5,1,12,11]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],[.,.]] => [2,4,3,6,8,7,5,10,9,1,12,11]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],[.,.]] => [2,4,3,6,5,8,10,9,7,1,12,11]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,8,7,10,9,1,12,11]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[[.,.],[.,.]]] => [2,4,6,8,7,5,3,1,10,12,11,9]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[[.,.],[.,.]]] => [2,4,6,5,3,8,7,1,10,12,11,9]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[[.,.],[.,.]]] => [2,4,3,6,8,7,5,1,10,12,11,9]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[[.,.],[.,.]]] => [2,4,3,6,5,8,7,1,10,12,11,9]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]],[.,.]] => [2,4,6,8,7,5,3,1,10,9,12,11]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [[[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]],[.,.]] => [2,4,6,5,3,8,7,1,10,9,12,11]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]],[.,.]] => [2,4,3,6,8,7,5,1,10,9,12,11]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]],[.,.]] => [2,4,3,6,5,8,7,1,10,9,12,11]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1,8,10,12,11,9,7]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [2,4,3,6,5,1,8,10,12,11,9,7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],[[[.,.],[.,.]],[.,.]]] => [2,4,6,5,3,1,8,10,9,12,11,7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1,8,10,9,12,11,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]],[.,.]] => [2,4,6,5,3,1,8,10,9,7,12,11]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,10,9,7,12,11]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[[.,.],[.,.]]] => [2,4,6,5,3,1,8,7,10,12,11,9]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[[.,.],[.,.]]] => [2,4,3,6,5,1,8,7,10,12,11,9]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]],[.,.]] => [2,4,6,5,3,1,8,7,10,9,12,11]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [[[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,4,3,6,5,1,8,7,10,9,12,11]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,3,1,6,8,10,12,11,9,7,5]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,3,1,6,8,10,9,12,11,7,5]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,3,1,6,8,10,9,7,12,11,5]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,1,6,8,7,10,12,11,9,5]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,1,6,8,7,10,9,12,11,5]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,3,1,6,8,10,9,7,5,12,11]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,1,6,8,7,10,9,5,12,11]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5,10,12,11,9]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,8,7,5,10,9,12,11]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,4,3,1,6,5,8,10,12,11,9,7]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,4,3,1,6,5,8,10,9,12,11,7]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5,8,10,9,7,12,11]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,4,3,1,6,5,8,7,10,12,11,9]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7,10,9,12,11]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [.,[.,[[.,[[[[[.,.],.],.],.],.]],.]]] => [.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [3,5,6,7,8,9,4,2,1]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [.,[.,[.,[[.,[[[[.,.],.],.],.]],.]]]] => [.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [4,6,7,8,9,5,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [.,[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]] => [.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [5,7,8,9,6,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]] => [.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [6,8,9,7,5,4,3,2,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]] => [[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10,11]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [7,6,5,4,3,2,9,8,1]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] => [10,9,11,8,7,6,5,4,3,2,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [3,4,2,1,9,8,7,6,5]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[[[.,.],.],.],[[[[[.,.],.],.],.],.]],.] => [[[[[.,.],[[[[[.,.],.],.],.],.]],.],.],.] => [1,3,4,5,6,7,2,8,9,10]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]] => [2,1,8,7,9,6,5,4,3]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[.,.],[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]],.] => [6,5,8,7,4,3,2,1,9]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]] => [.,[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]] => [2,4,9,8,7,6,5,3,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [.,[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]] => [.,[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]] => [6,5,4,3,2,8,7,9,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]] => [[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.] => [5,4,7,6,3,8,2,9,1,10]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[.,.],[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]],.] => [5,8,7,6,4,3,2,1,9]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [8,7,6,5,4,3,2,10,9,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [.,[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]] => [.,[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]] => [6,5,4,3,2,8,9,7,1]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[.,.],[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.] => [5,4,3,2,1,8,7,6,9]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]] => [4,3,9,8,7,6,5,2,1]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [[[[[[.,.],.],.],.],[[.,.],.]],[.,.]] => [[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [2,1,4,5,3,6,7,8,9]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [1,9,8,10,7,6,5,4,3,2]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [.,[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]] => [.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]] => [2,8,7,9,6,5,4,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] => [.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [5,7,6,4,8,3,9,2,10,1]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [7,6,5,4,3,2,1,9,8,10]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]] => [4,3,2,9,8,7,6,5,1]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.] => [2,4,6,8,9,7,5,3,1,10]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],[[[[.,.],.],.],.]] => [[[.,[[[[.,.],.],.],.]],.],[[.,.],.]] => [2,3,4,5,1,6,8,9,7]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[.,[[.,.],.]],.],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],.],[[.,.],.]] => [5,4,3,2,1,6,8,9,7]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.] => [6,7,5,8,4,9,3,10,2,11,1,12]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] => [2,4,6,9,8,10,7,5,3,1]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]] => [3,2,4,6,9,8,10,7,5,1]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]] => [.,[[.,.],[[[.,[.,.]],.],[[.,[.,.]],.]]]] => [2,5,4,6,9,8,10,7,3,1]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]] => [3,2,5,4,6,9,8,10,7,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]] => [.,[[.,.],[[.,.],[[[.,[.,.]],[.,.]],.]]]] => [2,4,7,6,9,8,10,5,3,1]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]] => [3,2,4,7,6,9,8,10,5,1]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => [.,[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]] => [2,5,4,7,6,9,8,10,3,1]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,9,8,10,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [.,[[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]] => [2,4,6,8,11,10,12,9,7,5,3,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [.,[[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] => [3,2,4,6,8,11,10,12,9,7,5,1]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [.,[[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]],.]] => [.,[[.,.],[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]]] => [2,5,4,6,8,11,10,12,9,7,3,1]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0] => [.,[[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],.],[[.,.],[[.,[.,.]],.]]]] => [3,2,5,4,6,8,11,10,12,9,7,1]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0] => [.,[[.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]],.]] => [.,[[.,.],[[.,.],[[[.,[.,.]],.],[[.,[.,.]],.]]]]] => [2,4,7,6,8,11,10,12,9,5,3,1]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0] => [.,[[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[[.,[.,.]],.],[[.,[.,.]],.]]]] => [3,2,4,7,6,8,11,10,12,9,5,1]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [.,[[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]],.]] => [.,[[.,.],[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]]] => [2,5,4,7,6,8,11,10,12,9,3,1]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [.,[[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]],[.,.]]] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],.],[[.,[.,.]],.]]] => [3,2,5,4,7,6,8,11,10,12,9,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0] => [.,[[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],[[[.,[.,.]],[.,.]],.]]]]] => [2,4,6,9,8,11,10,12,7,5,3,1]
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [.,[[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[.,.],[[[.,[.,.]],[.,.]],.]]]] => [3,2,4,6,9,8,11,10,12,7,5,1]
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [.,[[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]],.]] => [.,[[.,.],[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]]] => [2,5,4,6,9,8,11,10,12,7,3,1]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [.,[[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],.]]] => [3,2,5,4,6,9,8,11,10,12,7,1]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [.,[[.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]],.]] => [.,[[.,.],[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]]] => [2,4,7,6,9,8,11,10,12,5,3,1]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [.,[[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[[[.,[.,.]],[.,.]],[.,.]],.]]] => [3,2,4,7,6,9,8,11,10,12,5,1]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],.]] => [.,[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]] => [2,5,4,7,6,9,8,11,10,12,3,1]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,9,8,11,10,12,1]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.] => [4,5,3,6,2,8,9,7,1,10]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => [[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.] => [4,6,7,5,3,8,2,9,1,10]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]] => [[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.] => [2,6,7,5,8,4,9,3,1,10]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [5,4,6,3,7,2,9,8,10,1]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[.,[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,7,6,9,8,10,1,12,11]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,4,3,8,7,9,6,10,5]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]] => [.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,6,5,9,8,10,7]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,10,9,2]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.] => [[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,10,9,12,11,2]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]] => [.,[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => [3,5,4,7,9,8,6,2,10,1]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [.,[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]] => [.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => [3,5,4,7,6,9,8,2,10,1]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]] => [.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]] => [3,5,4,7,6,2,8,10,9,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]] => [.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => [3,5,4,2,6,8,10,9,7,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [.,[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]] => [.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]] => [3,5,4,2,6,8,7,10,9,1]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[.,[[.,[.,.]],.]],[.,.]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,.]],[[.,.],[.,.]]] => [1,4,3,2,6,5,8,10,9,7]
[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [.,[[.,.],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]] => [.,[[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],.]] => [3,5,4,7,9,8,11,10,6,2,12,1]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [.,[[.,.],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]] => [.,[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],.]] => [3,5,4,7,9,8,6,11,10,2,12,1]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [.,[[.,.],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]] => [.,[[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],.]] => [3,5,4,7,6,9,11,10,8,2,12,1]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [.,[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]] => [.,[[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],.]] => [3,5,4,7,6,9,8,11,10,2,12,1]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[.,.]],.],[[[.,[[.,[.,.]],.]],[.,.]],.]]] => [.,[[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.],[.,.]]] => [3,5,4,7,9,8,6,2,10,12,11,1]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],.],[[[[.,[.,.]],[.,.]],[.,.]],.]]] => [.,[[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.],[.,.]]] => [3,5,4,7,6,9,8,2,10,12,11,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],.],[[[.,[.,.]],[.,.]],.]]] => [.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[[.,.],[.,.]]]] => [3,5,4,7,6,2,8,10,12,11,9,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],.]]] => [.,[[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]],[.,.]]] => [3,5,4,7,6,2,8,10,9,12,11,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],.],[[.,[.,.]],.]]] => [.,[[[.,[[.,.],[.,.]]],.],[[[.,.],[.,.]],[.,.]]]] => [3,5,4,2,6,8,10,9,12,11,7,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],.],[[.,[.,.]],.]]] => [.,[[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,6,8,10,9,7,12,11,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],.],[[.,[.,.]],.]]] => [.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[[.,.],[.,.]]]] => [3,5,4,2,6,8,7,10,12,11,9,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],.],[[.,[.,.]],.]]] => [.,[[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]],[.,.]]] => [3,5,4,2,6,8,7,10,9,12,11,1]
Map
to binary tree: up step, left tree, down step, right tree
Description
Return the binary tree corresponding to the Dyck path under the transformation up step - left tree - down step - right tree.
A Dyck path D of semilength n with n>1 may be uniquely decomposed into 1L0R for Dyck paths L,R of respective semilengths n1,n2 with n1+n2=n−1.
This map sends D to the binary tree T consisting of a root node with a left child according to L and a right child according to R and then recursively proceeds.
The base case of the unique Dyck path of semilength 1 is sent to a single node.
A Dyck path D of semilength n with n>1 may be uniquely decomposed into 1L0R for Dyck paths L,R of respective semilengths n1,n2 with n1+n2=n−1.
This map sends D to the binary tree T consisting of a root node with a left child according to L and a right child according to R and then recursively proceeds.
The base case of the unique Dyck path of semilength 1 is sent to a single node.
Map
left border symmetry
Description
Return the tree where a symmetry has been applied recursively on all left borders. If a tree is made of three trees T1,T2,T3 on its left border, it becomes T3,T2,T1 where same symmetry has been applied to T1,T2,T3.
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.
searching the database
Sorry, this map was not found in the database.